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1
Morlock, Merlin B. "Nonlinear mixing of two collinear Rayleigh waves." Thesis, Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/50280.
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Nonlinear mixing of two collinear, initially monochromatic, Rayleigh waves propagating in the same direction in an isotropic, nonlinear elastic solid is investigated: analytically, by finite element method simulations and experimentally. In the analytical part, it is shown that only collinear mixing in the same direction
fulfills the phase matching condition based on Jones and Kobett 1963 for the resonant generation of the second harmonics, as well as the sum and difference frequency components
caused by the interaction of the two fundamental waves. Next, a coupled
system of ordinary differential equations is derived based on the Lagrange equations of the second kind for the varying amplitudes of the higher harmonic and combination
frequency components of the fundamentals waves. Numerical results of the evolution of the amplitudes of these frequency components over the propagation distance are provided for different ratios of the fundamental wave frequencies. It is shown that the energy transfer is larger for higher frequencies, and that the oscillation of the energy between the different frequency components depends on the amplitudes and frequencies of the fundamental waves. Furthermore, it is illustrated that the horizontal velocity component forms a shock wave while the vertical velocity component
forms a pulse in the case of low attenuation. This behavior is independent of the two fundamental frequencies and amplitudes that are mixed. The analytical model is then extended by implementing diffraction effects in the parabolic approximation.
To be able to quantify the acoustic nonlinearity parameter, β, general relations based on the plane wave assumption are derived. With these relations a β is expressed, that is analog to the β for longitudinal waves, in terms of the second harmonics and the sum and the difference frequencies. As a next step, frequency and amplitude ratios of the fundamental frequencies are identified, which provide a maximum amplitude of one of the second harmonics as well as the sum or difference frequency components
to enhance experimental results.
Subsequently, the results of the analytical model are compared to those of finite element method simulations. Two dimensional simulations for small propagation distances gave similar results for analytical and finite element simulations. Consquently.
this shows the validity of the analytical model for this setup. In order to demonstrate the feasibility of the mixing technique and of the models, experiments were conducted using a wedge transducer to excite mixed Rayleigh waves and an air-coupled transducer to detect the fundamentals, second harmonics and the sum frequency. Thus, these experiments yield more physical information compared to the case of using a single fundamental wave. Further experiments were conducted
that confirm the modeled dependence on the amplitudes of the generated waves. In conclusion, the results of this research show that it is possible to measure the acoustic nonlinearity parameter β to quantify material damage by mixing Rayleigh
waves on up to four ways.
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Ooi, Eng Seng. "Rayleigh wave interactions with tribological contacts." Thesis, University of Sheffield, 2015. http://etheses.whiterose.ac.uk/9963/.
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The use of ultrasonic reflectometry is a proven method of condition monitoring machine systems. The working principles are simple. A burst of ultrasonic signal is sent to the interface of interest where reflection of the signal takes place. The manner in which reflection takes place depends on the properties of the interface. As such, the reflected signal carries information regarding the interface that can be extracted with proper techniques. However, the use of ultrasonic reflectometry in condition monitoring is not without its limitations. Conventional ultrasound techniques make use of ultrasonic bulk waves that travel through the body of a given material. Problems arise when the medium through which the wave travels is attenuative. This prevents any passage of ultrasonic signals as most of the energy will be absorbed by the material. In addition, most components have complex designs, requiring that the signal pass through multiple interfaces before reaching the interface of interest. Reflections occur at these intermediate interfaces, reducing the overall energy content of the signal. In order to overcome these issues, the use of Rayleigh wave as an alternative is researched in the work carried out here. Instead of having to travel through the bulk of the material, Rayleigh waves function by propagating along the free surface of the said material, thereby circumventing the existing issues with the use of conventional bulk waves. The research here was carried out to seek an understanding of how Rayleigh waves interact with a contact interface. This was performed on three separate fronts. First, a novel analytical model was developed by modelling the contact interface as a series of springs. It is discovered that the stiffness of the springs are directly proportional to the reflection coefficient of the Rayleigh wave incident upon the interface. The implication of this finding is that rough interfaces will have a lesser reflection coefficient (due to decreased stiffness), with a perfectly smooth interface giving the maximum reflection coefficient obtainable from a particular interface. This was then followed by studies performed using both finite element simulations as well as experimental work. Data from all three studies (analytical model, finite element simulations and experimental work) were compared against each other and it was shown that a good agreement exists between all three methods. Exploratory work on lip seals were performed in order to research the potential of using Rayleigh wave as a condition monitoring tool. By measuring the delay in the time of arrival of a Rayleigh wave pulse reflected from the sealing zone, it is possible to measure the extent of misalignment that is present in a lip seal. Axial misalignments of the lip between 6mm to 8mm were successfully measured. Additional work in measuring the degradation of a lubricating film via evaporation was qualitative in nature, with the amplitude of the reflected pulse slowly decreasing as the layer of fluid at the sealing zone diminishes via evaporation.
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Malladi, Subrahmanya Sastry Venkata. "Modeling and Algorithm Performance For Seismic Surface Wave Velocity Estimation." University of Akron / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=akron1194630399.
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Morgan, Robert Vaughn. "Experiments on the Rarefaction Wave Driven Rayleigh-Taylor Instability." Diss., The University of Arizona, 2014. http://hdl.handle.net/10150/337302.
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Experiments are presented in which the diffuse interface between two gases is made Rayleigh-Taylor unstable by interaction with a rarefaction wave. The apparatus used consists of a test section where the counter-flow of light and heavy gases generates a diffuse, stably stratified interface. A tank attached to the bottom of the apparatus is evacuated, and when an appropriate pressure is reached, the interface is perturbed using either a horizontal or a vertical oscillation technique to produce 2D, 3D, and multi-mode perturbations. A solenoid plunger fires an arrowhead which ruptures a membrane, generating a rarefaction wave that travels upward toward the interface. When the rarefaction wave impacts the interface, the interface accelerates down toward the vacuum tank, and the Rayleigh-Taylor instability and mixing develop in the test section. The instability evolution and mixing are recorded using high-speed CMOS cameras and planar laser Mie scattering of smoke particles seeded in the heavy gas. Additional visualization is undertaken with a high-speed shadowgraph system using three CMOS cameras. Interface diffusion thicknesses are recorded using the Rayleigh scattered light of an unexpanded laser beam. Simulations are conducted using a 1D numerical characteristics code based on the method of Hoskin (Meth. Comp. Physics, 3, 1964), and using the LLNL research hydrodynamics code Miranda (Cook, Phys. Fluids, 19, 2007). This 1D code produces Lagrangian interface trajectories while the 2D and 3D simulations using Miranda calculate the growth of perturbations. The theory of Chandrasekhar (Chandrasekhar, Proc. Camb. Phil. Soc., 51, 1955) is extended to capture the effects of diffuse interfaces while including viscosity, and dispersion curves are solved for numerically using a Riccati technique. These solutions show that the method of Duff et al. (Phys. Fluids, 5, 1962) may not accurately describe the growth of single modes for large wavenumbers. For large wavenumbers, when the interface has a large diffusion thickness, perturbations are found to grow with the linear growth rate n = 2Ag/(√πv₀δk²), where A is the Atwood number, g is the acceleration, v₀ is the average kinematic viscosity, δ is the thickness of the interface, and k is the wavenumber of the perturbation. Flat interface experiments exhibit predictable acceleration profiles, but the tail of the rarefaction wave appears at late times reducing the duration of acceleration. Single-mode experiments are conducted for four Atwood numbers including CO₂/SF₆ with A = 0.49, Air/SF₆ with A = 0.63, He/CO₂ with A = 0.82, and He/SF₆ with A = 0.94. Early time results compare well with linear stability theory when non-constant acceleration and diffusion thickness are accounted for. Simulations show good agreement with experiments into the non-linear growth phase. The CO₂/SF₆ and Air/SF₆ experiments show terminal velocity behavior where buoyancy is balanced by drag, but produce Froude numbers larger than those predicted by the Goncharov model (Phys. Rev. Lett., 88, 2002). Using the Mikaelian model (Phys. Fluids, 21, 2009), improved asymptotic Froude numbers are found. The He/CO₂ and He/SF₆ experiments exhibit free-fall behavior, accelerating freely without external forces, with spike amplitudes proportional to the displacement of the unperturbed interface. Single-mode experiments conducted with 3D perturbations using CO₂/SF₆ and Air/SF₆ show good agreement with linear stability theory when non-constant acceleration and diffusion thickness are accounted for. Simulations and the model of Mikaelian predict the growth of the spikes up until late time, while the 3D bubbles reach a terminal velocity more quickly than in simulations. Multi-mode experiments were conducted using Air/SF₆. Multi-mode experiments exhibit nearly t² growth at early times which decays. Using extraction techniques that account for variable acceleration, alpha values are found between ɑ = 0.02 and ɑ = 0.04. These alpha values are lower than are seen for most experiments, but are similar to ɑ values seen in miscible experiments.
5
Blake, Richard John. "Numerical models for Rayleigh wave scattering from surface features." Thesis, University College London (University of London), 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.282401.
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Horne, Michael R. "Rayleigh Wave Acoustic Emission during Crack Propagation in Steel." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/28780.
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An investigation was conducted of the existence of seismic surface pulses (SSP) on crack faces in near-failure fatigue. An SSP has components of various modes of wave propagation. The component with the largest amplitude is a Rayleigh surface wave pulse. The possibility that these surface modes have much higher amplitudes than bulk modes of acoustic emission (AE) was illustrated by an idealized thought experiment relating an SSP on a half-space to the response of crack faces to crack extension.
A number of aspects of AE monitoring in finite objects were investigated. Attributes of surface wave propagation on the edge of a specimen were found to be easier to monitor than other modes of wave propagation. Wavelet analysis was used to compare the characteristics of brittle AE with other sources.
A new testing paradigm was developed to reduce interference from secondary sources of AE and enhance the investigation of AE from critical crack behavior. Unique specimen design features were developed, data acquisition features sought and validated, a dead weight load frame was modified, and data analysis procedures were developed. Criteria based on velocity, frequency content, amplitude and shape were devised to determine if an AE event is an SSP. The tests were designed to mimic load conditions on structures such as bridges and hence investigate the difference between AE generated in field conditions and that of typical laboratory conditions. Varieties of steel, from very ductile to very brittle, were tested.
It was concluded that plastic zone formation, considered a secondary source of AE, was found not to interfere with the SSP activity. The SSP was found experimentally to have 2-3 times the amplitude of the bulk wave AE. The lack of sufficient AE did not allow for determination of conclusive changes in the AE as the specimens approached failure. However, it was found that brittle crack extension in fatigue and ductile failure can produce wave propagation resembling the SSP.Ph. D.
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Richmond, Rachelle Marie. "Ambient noise surface wave tomography across Europe: Rayleigh wave group and phase speed measurements." Connect to online resource, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1453514.
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Huang, Chi-Luen. "Effect of beam diffraction on nonlinear Rayleigh surface wave measurement." Thesis, Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/47537.
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This research investigates the effects of beam diffraction from a source of finite width on nonlinear Rayleigh wave propagation in an elastic half space. Previous work has shown that nonlinear ultrasonic Rayleigh waves can be used to evaluate material damage due to plastic deformation and fatigue. In this measurement, a relatively small wedge transducer is employed to launch Rayleigh surface waves in the specimen and the first and second harmonic amplitudes are measured in the far field as a function of propagation distance. In order to obtain a reliable set of measurement data, one needs to make numerous points in a wide range of distance, which can be impractical in many cases. This research investigates model is employed and the computation results are compared with experiment ones. This research will make measurements on 7075-T651 aluminum as a specimen, compensate the diffraction effects and then, will compare the feasibility of the method proposed in this research in the results of normalized second harmonic amplitude vs propagation distance.
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Selby, Neil D. "Rayleigh wave amplitudess and the attenuation structure of the earth." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.365757.
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Bashir, Hussam. "Calculation of Wave Propagation for Statistical Energy Analysis Models." Thesis, Uppsala universitet, Tillämpad mekanik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-267928.
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This thesis investigates the problems of applying Statistical Energy Analysis (SEA) tomodels that include solid volumes. Three wave types (Rayleigh waves, Pressure wavesand Shear waves) are important to SEA and the mathematics behind them is explainedhere. The transmission coefficients between the wave types are needed for energytransfer in SEA analysis and different approaches to solving the properties of wavepropagation on a solid volume are discussed. For one of the propagation problems, asolution, found in Momoi [6] is discussed, while the other problem remains unsolveddue to the analytical difficulties involved.
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Zeighami, Farhad. "Sub-wavelength resonators as seismic Rayleigh waves shield." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016.
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We explore the thesis that tall structures can be protected by means of seismic metamaterials. Seismic metamaterials can be built as some elements are created over soil layer with different shapes, dimensions, patterns and from different materials. Resonances in these elements are acting as locally resonant metamaterials for Rayleigh surface waves in the geophysics context. Analytically we proved that if we put infinite chain of SDOF resonator over the soil layer as an elastic, homogeneous and isotropic material, vertical component of Rayleigh wave, longitudinal resonance of oscillators will couple with each other, they would create a Rayleigh bandgap frequency, and wave will experience attenuation before it reaches the structure.
As it is impossible to use infinite chain of resonators over soil layer, we considered finite number of resonators throughout our simulations. Analytical work is interpreted using finite element simulations that demonstrates the observed attenuation is due to bandgaps when oscillators are arranged at sub-wavelength scale with respect to the incident Rayleigh wave. For wavelength less than 5 meters, the resulting bandgaps are remarkably large and strongly attenuating when impedance of oscillators matches impedance of soil. Since longitudinal resonance of SDOF resonator are proportional to its length inversely, a formed array of resonators that attenuates Rayleigh waves at frequency ≤10 Hz could be designed starting from vertical pillars coupled to the ground. Optimum number of vertical pillars and their interval spacing called effective area of resonators are investigated. For 10 pillars with effective area of 1 meter and resonance frequency of 4.9 Hz, bandgap frequency causes attenuation and a sinusoidal impulsive force illustrate wave steering down phenomena. Simulation results proved analytical findings of this work.
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Fan, Yichao. "The analysis of surface defects using the ultrasonic Rayleigh surface wave." Thesis, University of Warwick, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.495017.
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Surface defects, such as rolling contact fatigue (RCF) cracking, can be a difficult class of surface defects for existing on-line non-destructive testing techniques to detect and size accurately at high speed. Gauge corner cracking on the running surface of the railway track is a type of RCF defect. There are economic and safety benefits to have an accurate, fast and reliable NDT technique to detect such defects. The EMAT pitch-catch ultrasonic testing technique, using the Rayleigh surface wave developed at the laser ultrasound group, has been shown to be able to detect and size surface defects. The pitch-catch geometry also allows this technique to be used at high speed, for on-line NDT applications.
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Kafle, Durga N. "Rayleigh-Lidar Observations of Mesospheric Gravity Wave Activity above Logan, Utah." DigitalCommons@USU, 2009. https://digitalcommons.usu.edu/etd/466.
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A Rayleigh-scatter lidar operated from Utah State University (41.7°N, 111.8°W) for a period spanning 11 years ― 1993 through 2004. Of the 900 nights observed, data on 150 extended to 90 km or above. They were the ones used in these studies related to atmospheric gravity waves (AGWs) between 45 and 90 km. This is the first study of AGWs with an extensive data set that spans the whole mesosphere. Using the temperature and temperature gradient profiles, we produced a climatology of the Brunt-Väisälä (buoyancy) angular frequency squared, N2 (rad/s)2. The minimum and maximum values of N2 vary between 2.2×10-4 (rad/s)2 and 9.0×10-4 (rad/s)2. The corresponding buoyancy periods vary between 7.0 and 3.5 minutes. While for long averages the atmosphere above Logan, Utah, is convectively stable, all-night and hourly profiles showed periods of convective instability (i.e., negative N2). The N2 values were often significantly different from values derived from the NRL-MSISe00 model atmosphere because of the effects of inversion layers and semiannual variability in the lidar data.
Relative density fluctuation profiles with 3-km altitude resolution and 1-hour temporal resolution showed the presence of monochromatic gravity waves on almost every night throughout the mesosphere. The prevalent values of vertical wavelength and vertical phase velocity were 12-16 km and 0.5-0.6 m/s, respectively. However, the latter has the significant seasonal variation. Using these two observed parameters, buoyancy periods, and the AGW dispersion relation, we derived the ranges of horizontal wavelength, phase velocity, and source distance. The prevalent values were 550-950 km, 32-35 m/s, and 2500-3500 km, respectively.
The potential energy per unit mass Ep showed great night-to-night variability, up to a factor of 20, at all heights. Ep grew at approximately the adiabatic rate below 55-65 km and above 75-80 km. Step function decreases in Ep imply that the AGWs in between gave up considerable energy to the background atmosphere. In addition, Ep varies seasonally. Below 70 km, it has a semiannual variation with a maximum in winter and minima in the equinoxes. At the highest altitudes it has an annual variation with a maximum in winter and a minimum in summer.
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Freed, Shaun L. "High Resolution Ultrasonic Rayleigh Wave Interrogation of a Thermally Aged Polymeric Surface." University of Dayton / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1291685460.
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Gross, Johann. "Evaluation of near surface material degradation in concrete using nonlinear Rayleigh surface waves." Thesis, Georgia Institute of Technology, 2012. http://hdl.handle.net/1853/45810.
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Comparative studies of nondestructive evaluation methods have shown that nonlinear ultrasonic techniques are more sensitive than conventional linear methods to changes in material microstructure and the associated small-scale damage. Many of the material degradation processes such as carbonation in concrete, corrosion in metals, etc., begin at the surface. In such cases, ultrasonic Rayleigh surface waves are especially appropriate for detection and characterization of damage since their energy is concentrated in the top layer of the test object. For the civil engineering infrastructure, only a limited number of field applicable nonlinear ultrasonic techniques have been introduced. In this paper a nonlinear ultrasonic measurement technique based
on the use of Rayleigh waves is developed and used to characterize carbonation in concrete samples. Wedge transducer is used for the generation and an accelerometer for detection of the fundamental and modulated ultrasonic signal components. The measurements are made by varying the input voltage and along the propagation distance. The slope of the normalized modulated amplitudes is taken as the respective nonlinearity parameter. Concrete samples with two different levels of damage are
examined, and the difference of the two fundamental frequencies is used to quantify
damage state.
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McLellan, Morgan. "Structure and Deformation of the Northern Canadian Cordillera: Insights from Rayleigh Wave Tomography." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/35383.
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We determine the crustal and upper mantle structure within the northern Canadian Cordillera using two complementary Rayleigh wave analysis techniques: ambient noise and teleseismic two-station interferometry. These methods are used to measure Rayleigh waves propagating between all available pairs of seismic stations in northwestern Canada, which are processed to obtain phase velocity dispersion curves. These curves provide information on the inter-station, path-averaged phase velocity as a function of frequency (or period). These inter-station phase velocities are then inverted to produce phase velocity maps. Phase velocity maps for periods between 8 and 80 s show to first-order high velocities within the Shield and low velocities within the Cordillera, supporting the thermal isostasy model for the region. Smaller scale features are observed throughout the Cordillera with high velocities west of the Tintina Fault reflecting the mafic composition of the accreted terranes of the Intermontane belt, and low velocities east of the Tintina fault reflecting the sedimentary rocks of the Selwyn Basin. High velocities extending west past the Cordilleran Deformation Front provide evidence for the existence of regions within the eastern Cordillera underlain by cool cratonic lithosphere. Anisotropy within the upper crust and mantle shows fast-axis orientations in line with the major faults within the region, providing evidence for a shear-zone that extends to lithospheric mantle depths. Lower crustal anisotropy shows an increase in heterogeneity of fast-axis orientations, which provides limited support for the existence of a weak shear zone and detachment within the lower crust. Results of a 1D inversion show approximate Moho depths of 35 km for the region west of the Tintina Fault, 36 km for the Mackenzie Mountains region, and 37 km for the shield. Reduced lower crust velocities observed throughout the Cordillera, provide support for the existence of a weak lower crustal layer.
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Sethi, Shipra. "Secondary microseisme Love wave generation." Thesis, Université de Paris (2019-....), 2019. https://theses.md.univ-paris-diderot.fr/SETHI_Shipra_va2.pdf.
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Le bruit sismique est l'oscillation continue de la Terre enregistrée à chaque station en l'absence de tremblement de terre. Il résulte de l'interaction entre l'atmosphère, les océans et la terre solide. Le signal dominant, appelé microséismes secondaires dans la bande de fréquences 0,1-0,3 Hz, a pour origine l'interaction non linéaire entre des ondes de gravité océaniques de même fréquence et de directions opposées. Les fluctuations de pression qui en résultent près de la surface de l'océan génèrent un signal sismique. Le signal dominant est constitué d'ondes de Rayleigh (R). Plusieurs études montrent également l'existence d'ondes de Love (L) mais le rapport d'amplitude L/R entre les ondes de Love et de Rayleigh varie en fonction de la zone étudiée. Le mécanisme de génération des ondes de Rayleigh dues à l'interaction de ces sources de bruit avec le fond marin est bien compris et modélisé. Cependant, le mécanisme de génération des ondes de Love reste mystérieux car une source dans l'océan ne peut pas générer de mouvement de cisaillement. Dans ce travail, nous montrons l'existence d'ondes de Rayleigh et Love enregistrées par le réseau de l'Alaska et de la Californie. Nous étudions ensuite l'effet de la pente océan-continentale sur l'amplitude du bruit sismique des microséismes secondaires et quantifions la conversion des ondes de Rayleigh et de Love. Pour ce faire, nous utilisons la méthode des éléments spectraux pour simuler numériquement le champ d'ondes sismiques dans les milieux 3D. L'objectif est de déterminer les facteurs qui ont une influence sur l'amplitude des ondes de Love enregistrées sur le continent dans la bande de fréquences 0,1-1 Hz. Ces facteurs sont a) l'épaisseur de l'océan, b) l'effet de site à la source, c) la présence d'une couche sédimentaire sous le fond océanique et d) l'angle de la pente océan-continent. Nous observons que des ondes de Love peuvent être générées à la frontière océan-continental, et que la variation de leur amplitude dépend de la fréquence. La plus forte amplitude des ondes de Love est enregistrée dans un modèle avec 6 km d'océan, 6 km de croûte et 10 km de manteau à des fréquences de résonance dans l'océan lorsque la source est loin de la côte. Cependant, à d'autres fréquences, les océans peu profonds et les sources proches de la frontière de la ocean-continent generent des ondes de Love d'amplitude maximale. En présence de sédiments, l'amplification de Love est plus élevée à des périodes plus courtes pour les deux sources. La réduction de l'angle de pente diminue l'amplitude de l'onde de Love. Pour les sources proches et éloignées de la frontière océan-continent, le rapport d'amplitude L/R varie fortement selon la fréquence et l'épaisseur de l'océan. Parmi tous les facteurs, les rapports d'amplitude L/R les plus élevés sont générés dans les sédiments lorsque la source est proche de la frontièreSeismic noise is the continuous oscillation of the Earth recorded at every station in the absence of earthquakes . The interaction of atmosphere, ocean waves and earth creates them. The dominant signal, called secondary microseisms in the frequency band 0.1-0.3 Hz have known to be formed due to the non-linear interaction between two oppositely traveling ocean gravity waves. The resulting pressure fluctuations close to the ocean surface generates a seismic signal which is dominantly Rayleigh waves (R). Many authors reported the observations of Love wave content (L) in the seismic signal. However the L/R amplitude ratio is shown to vary depending on the area investigated. The generation mechanism of Rayleigh waves due to these noise sources interacting with the sea-bottom is well understood and modeled. The explanation why Love waves are generated is unclear because the source in the ocean cannot generate shear motion. We have shown the existence of Rayleigh and Love waves recorded by the Alaska and California network. We then investigate the effect of ocean-continental slope boundary on the seismic noise amplitude of secondary microsiesm and quantify the Rayleigh-to-Love wave conversion. In order to do that, we use the spectral element method to numerically simulate the seismic wave field in 3D media. The primary focus of this study is on investigating several factors that can influence the seismic noise amplitude recorded on the continent in the frequency band 0.1-1 Hz. Those factors are a) the ocean-thickness, b) the source-site effect i.e., source close to the boundary and far from the boundary, c) the sedimentary layer beneath the sea-bottom and d) the effect of ocean-continental slope angle. We observe that Love waves can be generated at the ocean-continental boundary, however the amplitude change is frequency dependent. We observe energy in the transverse direction in a model that cannot generate Love waves as a result of conversion at the ocean-continental slope boundary. The strongest Love wave amplitude is recorded in a model with 6 km deep ocean at resonant frequencies in the ocean when the source is far from the coast. However at other frequencies, shallow oceans and source close to the boundary generates highest Love wave amplitude. In the presence of sediments, the amplification of Love waves is higher at shorter periods for both sources. The reduction in slope angle diminishes the Love wave amplitude. For both source close and far from the boundary, the L/R amplitude ratio vary strongly with frequency and ocean thickness. Among all the factors, highest L/R amplitude ratios are generated due to sediments when the source is close to the boundary
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Yoon, Sungsoo. "Array-Based Measurements of Surface Wave Dispersion and Attenuation Using Frequency-Wavenumber Analysis." Diss., Georgia Institute of Technology, 2005. http://hdl.handle.net/1853/7246.
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Surface wave methods have been used to determine dynamic properties of near-surface soils in geotechnical engineering for the past 50 years. Although the capabilities of engineering surface wave methods have improved in recent years due to several advances, several issues including (1) near-field effects, (2) combined active and passive measurements, and (3) accurate measurements of surface wave attenuation still require study to further improve the capabilities of modern surface wave methods.
Near-field effects have been studied for traditional surface wave methods with two receivers and several filtering criteria to mitigate the effects have been recommended. However, these filtering criteria are not applicable to surface wave methods with multiple receivers. Moreover, the criteria are not quantitatively based and do not account for different types of soil profiles, which strongly influence near-field effects. A new study of near-field effects on surface wave methods with multiple receivers was conducted with numerical and experimental methods. Two normalized parameters were developed to capture near-field effects. Quantitatively based near-field effect criteria for an ideal homogeneous half-space and three typical soil profiles are presented.
Combining active and passive surface wave measurements allows developing a shear wave velocity profile to greater depth without sacrificing the near-surface resolution offered by active measurements. Generally, active and passive measurements overlap in the frequency range from approximately 4 to 10 Hz, and there are often systematic differences between the two measurements. The systematic errors in active and passive surface wave methods were explored to explain and resolve the differences, allowing for a more accurate composite dispersion curve.
The accuracy of measured surface wave attenuation is improved by properly accounting for (1) geometric spreading, (2) near-field effects, and (3) ambient noise. In this study, a traditional estimation method and a frequency-wavenumber method utilizing sub-arrays were investigated using displacement data from numerical simulations, focusing on near-field and ambient noise effects. Detailed procedures for the frequency-wavenumber estimation method are developed based on a study of the primary factors affecting attenuation estimates. The two methods are also evaluated using experimental displacement data obtained from surface wave field measurements with three different arrays.
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Olsson, Daniel. "Numerical simulations of energy absorbing boundaries for elastic wave propagation in thick concrete structures subjected to impact loading." Thesis, Umeå universitet, Institutionen för fysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-58015.
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As many of the world’s nuclear power plants are near the end of their supposed life span a need arise to assess the components crucial to the safety of these plants. One of these crucial components is the concrete reactor confinement; to assess its condition, non-destructive testing (NDT) is an attractive method. Traditional testing of concrete structures has comprised of drilling out a sample and performing stress tests on it, but because of the radioactive environment inside the containment this method is far from ideal. NDT is of course possible to use at any structure but at reactor containments the benefits from not creating holes in the structure are prominent; NDT is also an attractive option from an esthetical point of view because it leaves the structure intact. The NDT method pertaining to this study is the impact echo method which comprise of applying a force on the structure, usually a hammer blow, and measuring the response with a receiver. The impact will excite waves propagating in the structure which gives rise to Lamb modes. Lamb modes are structural oscillations of the wall and it is the frequency of these modes that are used to determine the thickness of the wall. The elastic properties of the structure can in turn be obtained by measuring the velocities of the waves propagation. It is also possible to use the impact echo method to detect irregularities in the structure such as cracks or delamination. To simulate the dynamics of a system using NDT numerical methods such as finite element modeling (FEM) is often used. The purpose of this study is to assess the possibility to utilize absorbing layers using increasing damping (ALID) in models to reduce the computational time of FEM analyses. ALIDs are used at the edges to simulate an infinite system and are thus supposed to cancel out incoming waves to prevent unwanted reflection from the edges. The models in this study have all pertained to two dimensional plates utilizing infinitesimal strain theory; the decrease in computational time is significant when using ALIDs and for three dimensional models it would be even more so. The ALIDs are specified by length and maximum mass proportional Rayleigh damping (CMmax), in this study three different lengths are tested, 0.5, 1.5 and 4.5 m for CMmax ranging from 103 to 2*105 Ns/m. The damping is increased with increasing distance into the ALID with specified maximum value at the back edge. However, it should be noted that the increase in damping causes difference in impedance between elements and if this difference is too large it will cause reflections of waves at the boundary between the elements. The ALID must thus be defined so that it sufficiently cancels out the wave without causing unwanted reflections due to impedance differences. The conclusion is that the 0.5 m long ALID does not provide good results for any choice of maximum mass proportional Rayleigh damping. Both the 1.5 and 4.5 m long ALIDs are, however, concluded to be applicable; the 1.5 m ALID having 2*104 < CMmax <5*104 Ns/m and the 4.5 m ALID having 5*103 < CMmax < 104 Ns/m are choices that have shown promise in the performed simulations. The hope is that the results obtained in this study will aid in the development of numerical analysis techniques for NDT methods that can be used in the construction of new reactor confinements and/or maintenance of existing reactor confinements and other thick concrete structures.Många av världens kärnkraftverk närmar sig slutet på sin beräknade livslängd och ett behov uppstår då att kunna utvärdera de komponenter som är väsentliga för säkerheten på dessa verk. Reaktoromslutningen i betong är en av dessa komponenter och oförstörande provning (NDT) är en attraktiv metod för att bedöma dess tillstånd. Traditionellt har utvärdering av betongkonstruktioner bestått av stresstester på borrprover men p.g.a. den radioaktiva miljön på insidan av omslutningen är denna metod ej att föredra. NDT är självklart möjligt att använda på allsköns betongkonstruktioner då det ger både konstruktionsmässiga och estetiska fördelar. NDT metoden som rör denna studie kallas impact echo och går ut på att man med en hammare slår till en punkt på väggen och mäter responsen en bit därifrån. Lasten ger upphov till vågor i form av deformation som propagerar i väggen och dessa ger i sin tur upphov till Lamb moder. Lamb moderna är strukturella oscillationer av väggen och genom att studera dess frekvenser kan väggens tjocklek bestämmas. Elastiska egenskaper i väggen erhålls utifrån de olika vågornas propageringshastigheter. Impact echo metoden kan även användas för att finna strukturella oegentligheter inuti väggen så som sprickor och delaminering. För att utföra numeriska simuleringar av dynamiska system med NDT-metoder är finita elementmetoden (FEM) användbar. Syftet med denna studie är att bedöma vilka möjligheter som finns för att implementera absorberande ränder med ökande dämpning (ALID) i datamodeller för att minska beräkningstiden av FEM-analyser. ALID används vid kanterna för att simulera ett oändligt system, dess uppgift är att dämpa bort inkommande vågor så att dessa ej reflekteras tillbaka och stör mätningarna. Samtliga modeller i denna studie är två-dimensionella med antagen oändligt liten spänning i normalriktningen. Vinsten i beräkningstid av att använda ALID är stor och ökar ytterligare om modellen utökas till tre dimensioner. Ett ALID definieras genom dess längd och maximala massproportionerlig Rayleigh-dämpning (CMmax). I denna rapport har längderna 0.5, 1.5 and 4.5 m använts med CMmax i intervallet från 103 till 2*105 Ns/m. Dämpningen ökar med ökat avstånd in i ALID med det specificerade maxvärdet vid den bakre kanten. Det bör noteras att skillnad i dämpning mellan element leder till skillnad i impedans; reflektioner av vågorna uppstår vid övergång från ett element med lägre impedans till ett med högre impedans. Ett ALID måste således vara definierat så att det dämpar bort tillräckligt av de inkommande vågorna utan att oönskade reflektioner i ALID uppstår. Studien pekar på att ett 0.5 m långt ALID inte åstadkommer önskvärda resultat för något av valen för CMmax som använts i denna rapport. Både det 1.5 och 4.5 m långa ALID har däremot get bra resultat; ett 1.5 m långt ALID bör ha 2*104 < CMmax <5*104 Ns/m och ett 4.5 m långt ALID 5*103 < CMmax < 104 Ns/m. Förhoppningen med studien är att resultaten skall underlätta utvecklingen av NDT-metoder som kan användas vid konstruktion och underhåll av reaktoromslutningar och andra tjocka betongkonstruktioner.
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YAN, ZHONGYU. "ENHANCED CRACK DETECTION BY COMBINATION OF LASER AND ULTRASONIC TECHNIQUES." University of Cincinnati / OhioLINK, 2001. http://rave.ohiolink.edu/etdc/view?acc_num=ucin996087800.
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Uhrig, Matthias Pascal. "Numerical simulation of nonlinear Rayleigh wave beams evaluating diffraction, attenuation and reflection effects in non-contact measurements." Thesis, Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/54368.
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Although several studies have proven the accuracy of using a non-contact, air-coupled receiver in nonlinear ultrasonic (NLU) Rayleigh wave measurements, inconsistent results have been observed when working with narrow specimens. The objectives of this research are first, to develop a 3D numerical finite element (FE) model which predicts nonlinear ultrasonic measurements and second, to apply the validated model on the narrow waveguide to determine causes of the previously observed experimental issues. The commercial FE-solver ABAQUS is used to perform these simulations. Constitutive law and excitation source properties are adjusted to match experiments conducted, considering inherent effects of the non-contact detection, such as frequency dependent pressure wave attenuation and signal averaging. Comparison of “infinite” and narrow width simulations outlines various influences which impair the nonlinear Rayleigh wave measurements. When the wave expansion is restricted, amplitudes of the fundamental and second harmonic components decrease more significantly and the Rayleigh wavefronts show an oscillating interaction with the boundary. Because of the air-coupled receiver’s finite width, it is sensitive to these edge effects which alter the observed signal. Thus, the narrow specimen adversely affects key factors needed for consistent measurement of material nonlinearity with an air-coupled, non-contact receiver.
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Carpi, Isotta. "Seismic Metamaterials for Rayleigh waves attenuation: analytical and numerical survey on the effect of soil stratification." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016.
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Locally resonant materials and periodic media have been recently proposed as a mean to control and redirect elastic waves at different length scale.
In particular, at geophysical scale, large resonant/periodic structures have been used as an innovative solution to attenuate the propagation of seismic waves.
Previous studies have shown the possibility of attenuating surface ground motions by deflecting seismic Rayleigh waves into soil bulk.
This surface to bulk wave conversion has been proved in the case of homogenous soil. Here we investigate how the surface to bulk wave conversion is influenced by inhomogeneous depth dependent soil properties.
Analytical and numerical evaluation have been developed in time and frequency domain to determine the efficiency of soil-resonators interaction in inhomogeneous layered media to be used as comparison with experimental results obtained from an experimental setup built at ETH. Furthermore, results from the inhomogeneous case have been compared with the homogenous soil case, to exploit effectiveness and limitation of wave conversion phenomenon.
It has been shown that the soil with depth dependent profile strongly influence wave motion. In fact, no effective wave conversion is present in this case, due to stiffer properties of the soil with depth that force the wave to reconvert its direction to the surface.
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Pandey, Shantanu [Verfasser]. "High resolution 3D Rayleigh wave velocity model of China and surrounding area / Shantanu Pandey." Berlin : Freie Universität Berlin, 2013. http://d-nb.info/1031100822/34.
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Gerasik, Vladimir. "Consolidation and wave propagation in a porous medium." Thesis, University of Waterloo, 2006. http://hdl.handle.net/10012/2950.
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Basic diffusion analytical solutions of one-dimensional consolidation are presented for the case of a semi-infinite domain. Typical tractions considered include instantaneous loads of the medium with a free boundary pressure, as well as the case of a permeable membrane located at the forced boundary. Two-dimensional boundary value problems for a porous half-space, described by the widely recognized Biot's equations of poroelasticity, including inertia effects is discussed. In this poroelastic version of Lamb's problem in the classical theory of linear elastic waves, the surface of a porous half-space is subjected to a prescribed line traction. The following two broadly applicable cases are considered: 1) A steady state harmonic load, 2) An impulsive load (Dirac delta function time dependence). A general analytical solution of the problem in the Fourier -- Laplace space was obtained by the application of the standard Helmholtz potential decomposition, which reduces the problem to a system of wave equations for three unknown potentials, which correspond to three types of motion: P1, slow P2 wave, and the shear wave S. The possibilities of, and procedure for, obtaining analytic solutions in the physical space subsequently are discussed in detail. When viscous dissipation effects are taken into account, a steady-state harmonic line traction solution can be represented in the form of well convergent integrals, while for the case when viscous dissipation is ignored, closed form analytic solutions can be obtained for impulsive forcing with the application of the Cagniard -- de Hoop inversion technique. Numerical studies of the dispersion relation of the Rayleigh, or surface, wave for cases in which the dissipation is not negligible are presented.
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Gandhi, Navneet. "Determination of dispersion curves for acoustoelastic lamb wave propagation." Thesis, Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/37158.
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The effect of stress on Lamb wave propagation is relevant to both nondestructive evaluation and structural health monitoring because of changes in received signals due to both the associated strain and the acoustoelastic effect. A homogeneous plate that is initially isotropic becomes anisotropic under biaxial stress, and dispersion of propagating waves becomes directionally dependent. The problem is similar to Lamb wave propagation in an anisotropic plate, except the fourth order tensor in the resulting wave equation does not have the same symmetry as that for the unstressed anisotropic plate, and the constitutive equation relating incremental stress to incremental strain is more complicated. Here we review the theory of acoustoelastic and develop theory for acoustoelastic Lamb wave propagation and show how dispersion curves shift anisotropically for an aluminum plate under biaxial tension. We also develop an approximate method using the effective elastic constants (EECs) and show that existing commercial tools to generate dispersion curves can be used under restricted conditions to describe wave propagation in biaxially stressed plates. Predictions of changes in phase velocity as a function of propagation direction using theory and the EEC method are compared to experimental results for a single wave mode.
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Carter, Benjamin. "Water-wave propagation through very large floating structures." Thesis, Loughborough University, 2012. https://dspace.lboro.ac.uk/2134/12031.
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Proposed designs for Very Large Floating Structures motivate us to understand water-wave propagation through arrays of hundreds, or possibly thousands, of floating structures. The water-wave problems we study are each formulated under the usual conditions of linear wave theory. We study the frequency-domain problem of water-wave propagation through a periodically arranged array of structures, which are solved using a variety of methods. In the first instance we solve the problem for a periodically arranged infinite array using the method of matched asymptotic expansions for both shallow and deep water; the structures are assumed to be small relative to the wavelength and the array periodicity, and may be fixed or float freely. We then solve the same infinite array problem using a numerical approach, namely the Rayleigh-Ritz method, for fixed cylinders in water of finite depth and deep water. No limiting assumptions on the size of the structures relative to other length scales need to be made using this method. Whilst we aren t afforded the luxury of explicit approximations to the solutions, we are able to compute diagrams that can be used to aid an investigation into negative refraction. Finally we solve the water-wave problem for a so-called strip array (that is, an array that extends to infinity in one horizontal direction, but is finite in the other), which allows us to consider the transmission and reflection properties of a water-wave incident on the structures. The problem is solved using the method of multiple scales, under the assumption that the evolution of waves in a horizontal direction occurs on a slower scale than the other time scales that are present, and the method of matched asymptotic expansions using the same assumptions as for the infinite array case.
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Voloshin, Vitaly. "Moving load on elastic structures : passage through the wave speed barriers." Thesis, Brunel University, 2010. http://bura.brunel.ac.uk/handle/2438/4614.
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The asymptotic behaviour of an elastically supported infinite string and an elastic isotropic half plane (in frames of specific asymptotic model) under a moving point load are studied. The main results of this work are uniform asymptotic formulae and the asymptotic profile for the string and the exact solution and uniform asymptotic formulae for a half plane. The crucial assumption for both structures is that the acceleration is sufficiently small. In order to describe asymptotically the oscillations of an infinite string auxiliary canonical functions are introduced, asymptotically analyzed and tabulated. Using these functions uniform asymptotic formulae for the string under constant accelerating and decelerating point loads are obtained. Approximate formulae for the displacement in the vicinity of the point load and the singularity area behind the shock wave using the steady speed asymptotic expansion with additional contributions from stationary points where appropriate are derived. It is shown how to generalise uniform asymptotic results to the arbitrary acceleration case. As an example these results are applied for the case of sinusoidal load speed. It is shown that the canonical functions can successfully be used in the arbitrary acceleration case as well. The graphical comparative analysis of numerical solu- tion and approximations is provided for different moving load speed intervals and values of the parameters. Vibrations of an elastic half plane are studied within the framework of the asymp- totic model suggested by J. Kaplunov et al. in 2006. Boundary conditions for the main problem are obtained as a solution for the problem of a string on the surface of a half plane subject to uniformly accelerated moving load. The exact solution over the interior of the half plane is derived with respect to boundary conditions. Steady speed and Rayleigh wave speed asymptotic expansions are obtained. In the neighborhood of the Rayleigh speed the uniform asymptotic formulae are derived. Some of their interesting properties are discovered and briefly studied. The graphical comparative analysis of the exact solution and approximations is provided for different moving load speed intervals and values of the parameters.
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Pandey, Shantanu [Verfasser]. "High resolution 3D Rayleigh wave velocity model of China and surrounding area / Shantanu Pandey. Deutsches GeoForschungsZentrum GFZ." Potsdam : Deutsches GeoForschungsZentrum GFZ, 2013. http://nbn-resolving.de/urn:nbn:de:kobv:b103-13010.
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Mahvelati, Shams Abadi Siavash. "Advancements in Surface Wave Testing: Numerical, Laboratory, and Field Investigations Regarding the Effects of Input Source and Survey Parameters on Rayleigh and Love waves." Diss., Temple University Libraries, 2019. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/589154.
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Civil EngineeringPh.D.
The Multichannel Analysis of Surface Waves (MASW) method has been widely used to evaluate the subsurface in engineering applications since late 1990’s. In MASW, surface waves are introduced into the subsurface and recorded by sensors along the ground surface. The characteristics of the propagating surface wave are influenced by the subsurface stratification, the manner in which the surface waves are input into the ground, and the survey parameters to acquire data. Rayleigh waves are typically generated by vertical strikes on a metallic plate which serves as a coupler between the active input source (e.g., a sledgehammer) and the ground surface. It has been suggested that plastic-type base plates can improve the low-frequency energy of Rayleigh waves and therefore, can increase the depth of investigation among other potential improvements. However, very little studies exist in the literature that evaluate the role of base plate material, especially plastic materials. In addition to Rayleigh surface waves, seismic surface waves can also be generated with horizontal impacts (i.e., Love waves) using specialized base plates. In this regard, much less is available in the literature regarding Love waves as sources in MASW testing which means that optimum field survey parameters, the effects of near-field, and the role of seismic source have not been thoroughly investigated yet for Love waves. Given the aforementioned gaps in the literature, two aspects of MASW have been investigated. First, the role of base plate material, specifically plastic-type plates, has been studied. Field data collected from six sites along with the data from laboratory experiments and numerical simulations of hammer-plate impact were studied. The results showed that softer base plates improve the energy transfer by as much 20% and lead to minor improvements, typically one-digit numbers in relative changes, in other signal characteristics such as signal bandwidth and signal-to-noise ratio. These results were corroborated with laboratory testing and numerical models of wave propagation with different base plate materials. The second goal was to improve understanding of Love wave propagation, particularly as related to resolution capabilities from survey parameters. Rayleigh and Love waveforms were collected with multiple active seismic sources at three sites and a systematic comparison was made between the two types of waves. Also, seismic wave propagation was simulated using the research community code SPECFEM2D to further investigate their differences. The results revealed critical new information about the depth of investigation, the effects of bedrock location on near-field effects, and the role of the different survey parameters on Rayleigh and Love wave data. The depth of investigation of Love wave MASW was deeper by about 2-9 m than that of Rayleigh MASW as a result of improved minimum frequency. The minimum source offset to avoid near-field effects was comparable for both Rayleigh and Love waves (0.3-0.4 of maximum wavelength). At closer source offset locations, Rayleigh waves were more affected by near-field effects and showed an additional 10% underestimation of planar phase velocities. Overall, the results from both parts of this study provides new practical insights about some of the unexplored aspects of surface wave testing using MASW.
Temple University--Theses
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Duquennoy, Marc. "Analyse ultrasonore des contraintes résiduelles dans les alliages d'aluminium par ondes de Rayleigh." Valenciennes, 1997. https://ged.uphf.fr/nuxeo/site/esupversions/a6bea93f-dcf7-4b3a-9275-e1aaeb5e6a12.
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La caractérisation de l'état de contrainte, au sein des matériaux, est importante dans le domaine de la construction, car la tenue mécanique des pièces est intimement liée a la répartition des contraintes dans celles-ci. Nous présentons une étude concernant l'évaluation non destructive des profils de contraintes résiduelles dans l'épaisseur de tôles épaisses en alliage d'aluminium, dont la texture présente une taille de grains assez importante (de l'ordre de 150 m). L’originalité de notre travail consiste en la détermination par méthode ultrasonore de ces profils, en faisant propager des ondes de Rayleigh sur les tranches des tôles. De cette façon, la détermination des contraintes repose sur la mesure de l'évolution relative de la vitesse en fonction de la position dans l'épaisseur des tôles. Nous avons étudié théoriquement et expérimentalement, la propagation des ondes ultrasonores de volume et de Rayleigh dans un milieu contraint, ce qui nous a permis d'établir la dépendance des vitesses de propagation des ondes vis-à-vis des contraintes. Nous avons mis en place deux dispositifs de mesure de la vitesse. Le premier, utilisant deux capteurs piézo-électriques, a permis de réaliser une détection acoustique. Le deuxième, basé sur l'interaction acousto-optique, utilise deux faisceaux lumineux issus d'une même source laser pour réaliser une détection optique. Nous présentons les profils de variations relatives de la vitesse relevés à partir des deux méthodes précédentes et les profils de contraintes correspondants. Les résultats obtenus au moyen de la méthode ultrasonore ont été comparés a d'autres profils établis par méthode destructive. Cette comparaison montre que ces deux techniques conduisent à des évolutions de contraintes similaires et met clairement en évidence la bonne adaptation de la méthode ultrasonore au problème pose.
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Ben, Khalifa Warida. "Modélisation de la propagation et de la réception des ondes élastiques émises par un défaut sous contrainte. Application à la simulation des contrôles non destructifs par émission acoustique." Thesis, Valenciennes, 2013. http://www.theses.fr/2013VALE0007/document.
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Le contrôle non destructif (CND) par émission acoustique (EA) est utilisé dans un grand nombre de domaines tels l’énergie nucléaire, le secteur pétrolier et gazier, le génie civil ou l’industrie mécanique afin de vérifier l’intégrité des structures sous contrainte. Selon le rapport entre la longueur d’onde et l’épaisseur de la structure, l’énergie libérée par un défaut sous contrainte peut se propager sous forme d’ondes guidées (cas des structures minces) ou sous forme d’onde de Rayleigh (cas des structures épaisses). L’analyse des signaux issus de cette méthode ultrasonore « passive » présente des difficultés liées principalement à la complexité des signaux typiquement mesurés. L’objectif de la thèse est de développer des modèles permettant la simulation d’expériences de CND par EA dans le cas des structures épaisses ou minces. Les modèles développés sont basés sur un couplage entre un modèle de source d’EA, un modèle de propagation des ondes et un modèle de capteur d’EA. Dans le cas des structures épaisses, deux modèles 2D (concernant le contrôle de pièces de surface plane et cylindrique) et un modèle 3D (surface plane) ont été développés afin de prédire le signal correspondant à l’onde de Rayleigh émise par un défaut sous contraintes. Concernant les structures minces, un modèle 2D a été développée permettant de prédire le signal correspondant aux modes guidés émis par une fissure sous contrainte. Plusieurs études paramétriques ont été menées afin de définir l’influence des différentes données d’entrée des modèles sur les signaux d’EA et ainsi aider à l’interprétation des contrôles par EAAE Non-destructive testing is used in many fields such as nuclear energy, oil and gas, civil engineering or mechanical engineering to check the integrity of structures under stress. Depending on the ratio of structure thickness to wavelength, the energy released by a crack under stress can propagate either as guided waves (in thin structures) or as Rayleigh wave (in thick structures). The analysis of signals resulting from this ultrasonic "passive" method is particularly difficult due to the complexity of typically measured signals. The objective of this thesis is to develop models to enable the simulation of AE testing experiments in the case of thick or thin structure. The developed models rely on the coupling between an AE source model, wave propagation models and an AE Sensor model. In the case of thick structures two 2D models (for plane and cylindrical surfaces) and a 3D model (for plane surface) have been developed to predict the signal corresponding to the Rayleigh wave emitted by a crack under stress. In the case of thin structures, a 2D model has been developed to predict the signal corresponding to the guided modes emitted by a crack under stress. Several parametric studies have been conducted to determine the influence of the different model input data on the AE signals and thus help to interpret AE testing results
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Apaza, Marco Aurelio Flores. "Determinação do Gmáx através do método de análise espectral de ondas superficiais." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/3/3145/tde-21082009-165223/.
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Esta dissertação apresenta o método de análise espectral de ondas superficiais (SASW) para a obtenção das variações do módulo cisalhante (Gmáx) com a profundidade, no domínio das deformações muito pequenas (abaixo de 0,001%). O SASW é um método sísmico in situ, não destrutivo, baseado na geração e detecção de ondas Rayleigh e na natureza dispersiva desta onda. Pela aplicação de um impacto na superfície do solo e detecção da onda em vários pontos, através de dois receptores, é construída uma curva de dispersão (velocidade de fase versus comprimento de onda). Esta curva de dispersão é, então, invertida. A inversão é um processo analítico para a reconstrução do perfil de velocidade de onda de cisalhamento (VS), partindo-se da curva de dispersão experimental de campo. O módulo de cisalhamento máximo de cada camada é facilmente obtido a partir do perfil de VS. No conteúdo teórico da dissertação discutem-se propriedades dinâmicas dos solos e descrevem-se as equações que dominam a propagação das ondas elásticas, tanto em meios homogêneos como em meios estratificados. A metodologia desenvolvida para a obtenção das curvas de dispersão, através da realização de ensaios SASW, apresenta os resultados obtidos em ensaios realizados na Cidade Universitária em São Paulo, sendo esses resultados comparados com estimativas feitas a partir de correlações baseadas em ensaios SPT existentes. Essas comparações permitem concluir que a metodologia SASW é uma boa alternativa para a determinação do perfil de rigidez (Gmáx) do solo, concordando com o nível de deformação envolvido nos ensaios. São desenvolvidos estudos de sensibilidade do método para verificar a influência na mudança dos parâmetros assumidos (peso específico, coeficiente de Poisson e espessuras das camadas) no processo de redução de dados (inversão) sobre o perfil final de VS, concluindo-se que o parâmetro que apresenta maior influência é o coeficiente de Poisson.This dissertation presents the spectral-analysis-of-surface-waves (SASW) method as a tool for obtaining the variations in the modulus shear (Gmax) with depth in the field of very small strains (below 0,001%). The SASW method is a nondestructive in situ seismic method, based on the generation and measurement of Rayleigh wave and on its dispersive characteristic nature. Throughout the implementation of an impact on the soil surface and the detection of the wave at various points by two receptors a dispersion curve is constructed (phase velocity versus wave-length). This dispersion curve is then inverted. Inversion is an analytical process for reconstructing the shear wave velocity profile from the experimental field. The shear modulus of each layer is readily obtained from the shear wave velocity profile. The theoretical content of the dissertation presents dynamic properties of the soils and is described in the equations that dominate the propagation of elastic waves, both in homogeneous media and in stratified media. The methodology developed to obtain the dispersion curves through the implementation of SASW test is defined, and results from tests carried out at the University Campus in São Paulo are presented and compared with values obtained from correlations based on SPT tests. These comparisons indicate that the SASW method is a good alternative to determine the profile of stiffness (Gmax) of the soil, agreeing with the level of deformation involved in the tests. Studies on the methods sensitivity are developed to verify the influence on the changing of the parameters given (natural unit weight, Poisson coefficient and thickness of layers) in reduction of data (inversion) on the final profile of VS. The conclusion is that the Poisson coefficient is the parameter with greater influence.
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Dali-Ali, Mohamed. "Etude et caractérisation des ondes de Rayleigh dans les milieux non-piézoélectriques à l'aide de PVF2 et P(VF2-VF3)." Université Joseph Fourier (Grenoble), 1995. http://www.theses.fr/1995GRE10127.
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Ce travail se rapporte a l'etude theorique et experimentale de la generation, de la propagation et de la detection des ondes de rayleigh sur des supports en duralumin et en plastique a l'aide de films de pvf#2 et p(vf#2-vf#3). A partir du modele analytique adapte aux films piezoelectriques et l'adaptation des travaux de viktorov aux notres, nous avons analyse l'influence des differents parametres de la chaine de mesure afin d'optimiser le rendement de cette derniere. Parmi ces parametres d'analyse, nous avons considere la puissance elastique transmise au milieu de propagation, les contraintes mises en jeux et l'impedance electrique du transducteur. L'influence des pertes dielectriques et mecaniques du materiau piezoelectrique et celle de l'epaisseur de la couche de couplage sur ces parametres, nous a permis non seulement de choisir les frequences optimales d'excitation et de dimensionner les electrodes des transducteurs d'emission et de reception, mais aussi de calculer l'adaptation electrique des ports d'entree et de sortie du dispositif a ondes de surface. La prise en compte de ces resultats de simulation dans la mise au point du dispositif experimental, nous a permis d'obtenir un gain de 20 db au niveau de la sensibilite par rapport aux travaux anterieurs. Dans la partie experimentale, notre etude a porte sur l'influence de la temperature, de la nature ou de la pression d'un liquide sur les caracteristiques de l'onde de rayleigh se propageant a la surface d'un recipient en plastique ou a la surface d'un barreau en duralumin
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Croquette, Vincent. "Etude des structures convectives de Rayleigh-Bénard en géométrie étendue." Paris 6, 1986. http://www.theses.fr/1986PA066050.
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Analyse de la transition spatio-temporelle vers le chaos dans les écoulements de type Rayleigh-Bénard. On mesure l'équivalent des constantes élastiques d'une structure de rouleaux. On détermine la sélection du nombre d'onde réalisée par les dislocations, les joints de grains et les ombilics. On propose une méthode de visualisation des structures convectives dans les gaz.
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Oberhardt, Tobias. "A micromechanical model for the nonlinearity of microcracks in random distributions and their effect on higher harmonic Rayleigh wave generation." Thesis, Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/54365.
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This research investigates the modeling of randomly distributed surface-breaking microcracks and their effects on higher harmonic generation in Rayleigh surface waves. The modeling is based on micromechanical considerations of rough surface contact. The nonlinear behavior of a single microcrack is described by a hyperelastic effective stress-strain relationship. Finite element simulations of nonlinear wave propagation in a solid with distributed microcracks are performed. The evolution of fundamental and second harmonic amplitudes along the propagation distance is studied and the acoustic nonlinearity parameter is calculated. The results show that the nonlinearity parameter increases with crack density and root mean square roughness of the crack faces. While, for a dilute concentration of microcracks, the increase in acoustic nonlinearity is proportional to the crack density, this is not valid for higher crack densities, as the microcracks start to interact. Finally, it is shown that odd higher harmonic generation in Rayleigh surface waves due to sliding crack faces introduces a friction nonlinearity.
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Parmar, Biren Jagadish. "Development Of Point-Contact Surface Acoustic Wave Based Sensor System." Thesis, Indian Institute of Science, 2006. http://hdl.handle.net/2005/279.
Full textAbstract:
Surface Acoustic Waves (SAW) fall under a special category of elastic waves that need a material medium to propagate. The energy of these waves is confined to a limited depth below the surface over which they propagate, and their amplitudes decay with increasing depth. As a consequence of their being a surface phenomenon, they are easily accessible for transduction. Due to this reason, a lot of research has been carried out in the area, which has resulted in two very popular applications of SAW - SAW devices and in Non-Destructive Testing and Evaluation.
A major restriction of SAW devices is that the SAW need a piezoelectric medium for generation, propagation and reception. This thesis reports the attempt made to overcome this restriction and utilize the SAW on non-piezoelectric substrates for sensing capabilities. The velocity of the SAW is known to be dependent purely on the material properties, specifically the elastic constants and material density. This dependence is the motivation for the sensor system developed in the present work.
Information on the survey of the methods suitable for the generation and reception of SAW on non-piezoelectric substrates has been included in the thesis. This is followed by the theoretical and practical details of the method chosen for the present work - the point source/point receiver method. Advantages of this method include a simple and inexpensive fabrication procedure, easy customizability and the absence of restrictions due to directivity of the SAW generated. The transducers consist of a conically shaped PZT element attached to a backing material. When the piezoelectric material on the transmitter side is electrically excited, they undergo mechanical oscillations. When coupled to the surface of a solid, the oscillations are transferred onto the solid, which then acts as a point source for SAW. At the receiver, placed at a distance from the source on the same side, the received mechanical oscillations are converted into an electrical signal as a consequence of the direct piezoelectric effect. The details of the fabrication and preliminary trials conducted on metallic as well as non-metallic samples are given.
Various applications have been envisaged for this relatively simple sensor system. One of them is in the field of pressure sensing. Experiments have been carried out to employ the acoustoelastic property of a flexible diaphragm made of silicone rubber sheet to measure pressure. The diaphragm, when exposed to a pressure on one side, experiences a varying strain field on the surface. The velocity of SAW generated on the stressed surface varies in accordance with the applied stress, and the consequent strain field generated. To verify the acoustoelastic phenomenon in silicone rubber, SAW velocities have been measured in longitudinal and transverse directions with respect to that of the applied tensile strain. Similar measurements are carried out with a pressure variant inducing the strain. The non-invasive nature of this setup lends it to be used for in situ measurement of pressure.
The second application is in the field of elastography. Traditional methods of diagnosis to detect the presence of sub-epidermal lesions, some tumors of the breast, liver and prostate, intensity of skin irritation etc have been mainly by palpation. The sensor system developed in this work enables to overcome the restrictive usage and occasional failure to detect minute abnormal symptoms. In vitro trials have been conducted on tissue phantoms made out of poly (vinyl alcohol) (PVA-C) samples of varying stiffnesses. The results obtained and a discussion on the same are presented.
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Tsarsitalidou, Christina. "Inversion of Rayleigh-wave dispersion curves using a finite-element eigenvalue/eigenvector solver, applied to the Alpine region and Italian peninsula." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18152/.
Full textAbstract:
Questa tesi si pone come obiettivo lo studio del processo d'inversione nel caso di
curve di dispersione delle onde di Rayleigh, con lo scopo di determinare il profilo della
velocità delle onde S.
Ho utilizzato due diversi metodi. Il primo
tipo riguarda un approccio perturbativo basato sul metodo degli elementi -finiti; il
secondo, è un metodo di calcolo diretto basato sulla formula di Dix e costituisce un metodo non perturbativo. Quest'ultimo fornisce
un modello iniziale che potrà essere in seguito ottimizzato attraverso l'approccio
perturbativo. Inizialmente, test basati su dati sintetici sono stati effettuati al fine
di simulare la crosta oceanica. È
stato notato che eventuali variazioni al modello
iniziale o variazioni allo spessore degli elementi finiti sembrano essere di grande
impatto per il modello risultante. Successivamente, l'inversione perturbativa è stata
applicata con dati di velocità di fase, appartenenti al database risultante dall' analisi
del rumore sismico effettuata da Molinari et al. . Tali dati sono stati registrati
da stazioni presenti in tutto il territorio italiano e nelle Alpi. Il modello iniziale
risulta da una combinazione del modello ottenuto dalla ricerca di Molinari et al. per la parte della crosta
e dal modello PREM per la parte del mantello. Le mappe 3D di velocità di S risultanti
da questo metodo vengono successivamente paragonate con le equivalenti mappe
risultate dal lavoro di Molinari et al. . Infine, lo stesso procedimento è stato
ripetuto per un numero limitato di celle appartenenti al medesimo database. In
questo caso, il modello iniziale è il modello risultante dall' inversione di Dix
e può essere considerato un modello di riferimento adeguato per determinare la
struttura 1D delle celle prese singolarmente. Tuttavia, si riscontrerebbero alcune
limitazioni nel caso in cui il metodo venisse impiegato per ottenere strutture 3D.
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Lucena, Rodrigo Ferreira de. "Avaliações e testes dos métodos MASW e ReMi por meio do tratamento de dados empíricos e sintéticos em um programa de processamento e inversão desenvolvido em MATLAB e sua implicação em um problema geológico na Bacia de Taubaté." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/44/44138/tde-17062016-135652/.
Full textAbstract:
Os métodos de ondas superficiais com ênfase nas ondas Rayleigh foram utilizados como o núcleo desse trabalho de Doutorado. Inicialmente, as ondas Rayleigh foram modeladas permitindo o estudo de sensibilidade de suas curvas de dispersão sob diferentes configurações de parâmetros físicos representando diversos modelos de camadas, em que pôde ser observado parâmetros com maior e menor sensibilidade e também alguns efeitos provocados por baixas razões de Poisson. Além disso, na fase de inversão dos dados a modelagem das ondas Rayleigh foi utilizada para a construção da função objeto, que agregada ao método de mínimos quadrados, a partir do método de Levenberg-Marquardt, permitiu a implementação de um algoritmo de busca local responsável pela inversão de dados das ondas superficiais. Por se tratar de um procedimento de busca local, o algoritmo de inversão foi complementado por uma etapa de pré-inversão com a geração de um modelo inicial para que o procedimento de inversão fosse mais rápido e eficiente. Visando uma eficiência ainda maior do procedimento de inversão, principalmente em modelos de camadas com inversão de velocidades, foi implementado um algoritmo de pós-inversão baseado em um procedimento de tentativa e erro minimizando os valores relativos da raiz quadrada do erro quadrático médio (REQMr) da inversão dos dados. Mais de 50 modelos de camadas foram utilizados para testar a modelagem, a pré-inversão, inversão e pós-inversão dos dados permitindo o ajuste preciso de parâmetros matemáticos e físicos presentes nos diversos scripts implementados em Matlab. Antes de inverter os dados adquiridos em campo, os mesmos precisaram ser tratados na etapa de processamento de dados, cujo objetivo principal é a extração da curva de dispersão originada devido às ondas superficiais. Para isso, foram implementadas, também em Matlab, três metodologias de processamento com abordagens matemáticas distintas. Essas metodologias foram testadas e avaliadas com dados sintéticos e reais em que foi possível constatar as virtudes e deficiências de cada metodologia estudada, bem como as limitações provocadas pela discretização dos dados de campo. Por último, as etapas de processamento, pré-inversão, inversão e pós-inversão dos dados foram unificadas para formar um programa de tratamento de dados de ondas superficiais (Rayleigh). Ele foi utilizado em dados reais originados pelo estudo de um problema geológico na Bacia de Taubaté em que foi possível mapear os contatos geológicos ao longo dos pontos de aquisição sísmica e compará-los a um modelo inicial existente baseado em observações geomorfológicas da área de estudos, mapa geológico da região e informações geológicas globais e locais dos movimentos tectônicos na região. As informações geofísicas associadas às geológicas permitiram a geração de um perfil analítico da região de estudos com duas interpretações geológicas confirmando a suspeita de neotectônica na região em que os contatos geológicos entre os depósitos Terciários e Quaternários foram identificados e se encaixaram no modelo inicial de hemi-graben com mergulho para Sudeste.The surface wave methods to Rayleigh waves were used as the center of this Doctoral work. Initially, the Rayleigh waves were modeled, what enabled the study of the sensitivity of dispersion curves about different sets of physical parameters representing several layer models, wherein it could be observed parameters with higher and lower sensitivity and also some effects caused by low Poisson ratios. Moreover, in the data inversion step the Rayleigh modeling was used for the construction of the object function, that aggregate to the least-squares method, by Levenberg-Marquardt, allowed the implementation of a local search algorithm responsible for data inversion of the surface waves. By reason of being a local search procedure, the data inversion algorithm was complemented with a pre-inversion step wherein an initial model was generated so that the inversion procedure was faster and efficient. Seeking a more efficiency of the inversion procedure, mainly to layer models with velocities inversion, it was implemented a post-inversion algorithm based in a trial and error procedure minimizing the values of the relative Root Mean Squared Error (rRMSE) of the data inversion. More than 50 layer models were used to test the data modeling, pre-inversion, inversion and post-inversion allowing the precise fit of the mathematical and physical parameters present in the several scripts implemented in Matlab. Before to invert the field-acquired data, they need to be treated in the data processing step, whose main aim is the extraction of the dispersion curve caused due the surface waves. For this, three processing methodologies with different mathematical approaches were implemented, also in Matlab. These methodologies were tested and evaluated with synthetic and real data and it was possible to find their strengths and weaknesses, as well as the limitations caused by discretization of the field data. Lastly, the data processing, pre-inversion, inversion and post-inversion steps were unified to form a complete data treatment program of surface waves (Rayleigh). It was used to real data originated by study of a geological problem in the Bacia de Taubaté wherein it was possible to map the geologic contacts along of the seismic acquisition points. The results were compared to an existing initial model based in geomorphological observations of the study area, geological map and global and local geologic information of the tectonic movements in the region. The geophysical The surface wave methods to Rayleigh waves were used as the center of this Doctoral work. Initially, the Rayleigh waves were modeled, what enabled the study of the sensitivity of dispersion curves about different sets of physical parameters representing several layer models, wherein it could be observed parameters with higher and lower sensitivity and also some effects caused by low Poisson ratios. Moreover, in the data inversion step the Rayleigh modeling was used for the construction of the object function, that aggregate to the least-squares method, by Levenberg-Marquardt, allowed the implementation of a local search algorithm responsible for data inversion of the surface waves. By reason of being a local search procedure, the data inversion algorithm was complemented with a pre-inversion step wherein an initial model was generated so that the inversion procedure was faster and efficient. Seeking a more efficiency of the inversion procedure, mainly to layer models with velocities inversion, it was implemented a post-inversion algorithm based in a trial and error procedure minimizing the values of the relative Root Mean Squared Error (rRMSE) of the data inversion. More than 50 layer models were used to test the data modeling, pre-inversion, inversion and post-inversion allowing the precise fit of the mathematical and physical parameters present in the several scripts implemented in Matlab. Before to invert the field-acquired data, they need to be treated in the data processing step, whose main aim is the extraction of the dispersion curve caused due the surface waves. For this, three processing methodologies with different mathematical approaches were implemented, also in Matlab. These methodologies were tested and evaluated with synthetic and real data and it was possible to find their strengths and weaknesses, as well as the limitations caused by discretization of the field data. Lastly, the data processing, pre-inversion, inversion and post-inversion steps were unified to form a complete data treatment program of surface waves (Rayleigh). It was used to real data originated by study of a geological problem in the Bacia de Taubaté wherein it was possible to map the geologic contacts along of the seismic acquisition points. The results were compared to an existing initial model based in geomorphological observations of the study area, geological map and global and local geologic information of the tectonic movements in the region. The geophysical information associated with geological information allowed the generation of an analytical profile of the study region with two geological interpretation confirming the suspect of neotectonic movements in the region wherein the geological contacts between the quaternary and tertiary deposits were identified and they agreed with the initial model of a hemi-graben with dip to Southeast.
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Nicolson, Heather Johan. "Exploring the Earth's subsurface with virtual seismic sources and receivers." Thesis, University of Edinburgh, 2011. http://hdl.handle.net/1842/5726.
Full textAbstract:
Traditional methods of imaging the Earth’s subsurface using seismic waves require an identifiable, impulsive source of seismic energy, for example an earthquake or explosive source. Naturally occurring, ambient seismic waves form an ever-present source of energy that is conventionally regarded as unusable since it is not impulsive. As such it is generally removed from seismic data and subsequent analysis. A new method known as seismic interferometry can be used to extract useful information about the Earth’s subsurface from the ambient noise wavefield. Consequently, seismic interferometry is an important new tool for exploring areas which are otherwise seismically quiet, such as the British Isles in which there are relatively few strong earthquakes. One of the possible applications of seismic interferometry is the ambient noise tomography method (ANT). ANT is a way of using interferometry to image subsurface seismic velocity variations using seismic (surface) waves extracted from the background ambient vibrations of the Earth. To date, ANT has been used to successfully image the Earth’s crust and upper-mantle on regional and continental scales in many locations and has the power to resolve major geological features such as sedimentary basins and igneous and metamorphic cores. In this thesis I provide a review of seismic interferometry and ANT and apply these methods to image the subsurface of north-west Scotland and the British Isles. I show that the seismic interferometry method works well within the British Isles and illustrate the usefulness of the method in seismically quiet areas by presenting the first surface wave group velocity maps of the Scottish Highlands and across the British Isles using only ambient seismic noise. In the Scottish Highlands, these maps show low velocity anomalies in sedimentary basins such as the Moray Firth and high velocity anomalies in igneous and metamorphic centres such as the Lewisian complex. They also suggest that the Moho shallows from south to north across Scotland, which agrees with previous geophysical studies in the region. Rayleigh wave velocity maps from ambient seismic noise across the British Isles for the upper and mid-crust show low velocities in sedimentary basins such as the Midland Valley, the Irish Sea and the Wessex Basin. High velocity anomalies occur predominantly in areas of igneous and metamorphic rock such as the Scottish Highlands, the Southern Uplands, North-West Wales and Cornwall. In the lower crust/upper mantle, the Rayleigh wave maps show higher velocities in the west and lower velocities in the east, suggesting that the Moho shallows generally from east to west across Britain. The extent of the region of higher velocity correlates well with the locations of British earthquakes, agreeing with previous studies that suggest British seismicity might be influenced by a mantle upwelling beneath the west of the British Isles. Until the work described in Chapter 6 of this thesis was undertaken in 2009, seismic interferometry was concerned with cross-correlating recordings at two receivers due to a surrounding boundary of sources, then stacking the cross-correlations to construct the inter-receiver Green’s function. A key element of seismic wave propagation is that of source-receiver reciprocity i.e. the same wavefield will be recorded if its source and receiver locations and component orientations are reversed. By taking the reciprocal of its usual form, in this thesis I show that the impulsive-source form of interferometry can also be used in the opposite sense: to turn any energy source into a virtual sensor. This new method is demonstrated by turning earthquakes in Alaska and south-west USA into virtual seismometers located beneath the Earth’s surface.
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Su, Bei. "EFFECTS OF RAILROAD TRACK STRUCTURAL COMPONENTS AND SUBGRADE ON DAMPING AND DISSIPATION OF TRAIN INDUCED VIBRATION." UKnowledge, 2005. http://uknowledge.uky.edu/gradschool_diss/312.
Full textAbstract:
A method for numerical simulation of train induced track vibration and wave propagation in subgrade has been proposed. The method uses a mass to simulate the bogie of a train and considers the effect of rail roughness. For this method, rail roughness is considered as a randomly generated signal and a filter is used to block the undesired components. The method predicts the particle velocity around the track and can be applied to many kinds of railroad trackbeds including traditional ballast trackbed and modern Hot mix asphalt (HMA) trackbed. Results from ballast and HMA trackbeds are compared and effects of HMA layer on damping track vibration and dissipating wave propagation are presented. To verify the credibility of the method, in-track measurements were also conducted. Site measurements included performing geophysical tests such as spectral analysis of surface wave test and seismic refraction test to determine the subsurface conditions at the test site. Ballast and HMA samples were tested in the laboratory by resonant column test to obtain the material properties. Particle velocities were measured and analyzed in the frequency domain. Results from in-track tests confirm the applicability of the numerical method. The findings and conclusions are summarized and future research topics are suggested.
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Gnadjro, Dossou. "Nombres d'ondes, masses volumiques et modules effectifs de milieux composites formés d'une matrice poro-élastique contenant des inclusions de forme cylindrique." Thesis, Normandie, 2019. http://www.theses.fr/2019NORMLH16/document.
Full textAbstract:
On étudie la propagation d’ondes acoustiques dans un milieu poreux obéissant à la théorie de Biotet contenant une distribution aléatoire de cavités cylindriques et celle d’une onde acoustique dans un fluide contenant une distribution polydisperse aléatoire de sphères poreuses. Dans le premier cas on utilise la généralisation de Conoir-Norris de la formule de Linton-Martin. En effet, elle permet de prendre en compte le phénomène de la conversion entre les trois ondes (deux longitudinales et une transversale) se propageant naturellement dans un milieu poreux de Biot contenant une distribution aléatoire de cavités. Des expressions analytiques sont trouvées pour les nombres d’onde effectifs des ondes cohérentes dans la limite de Rayleigh (régime basse fréquence). Les approximations des masses volumiques et modules des milieux hétérogènes sont fournies jusqu’à l’ordre de c2 en concentration. Le cas limite des cavités fluides aléatoires dans une matrice élastique est également discuté. Dans le deuxième cas on détermine les nombres d’ondes, modules et masses volumiques effectifs pour des distributions polydisperses de sphères poroélastiques. Pour y parvenir, les formules récentes du nombre d’onde effectif données par Linton et Martin dans le cas dilué monodisperse ont été modifiées. Compte tenu de l’incertitude entourant la prédiction de la distribution en taille des obstacles, trois densités de probabilité différentes sont étudiées et comparées : uniforme, Schulz et log-normal. Plus précisément, la limite de Rayleigh (régime de basse fréquence) est prise en compte lorsque les longueurs d’onde peuvent être supposées très grandes par rapport à la taille des obstacles. Dans cette limite, des formules simplifiées des concentrations sont fournies en fonction du paramètre caractérisant la dispersion en tailleWe study the propagation of acoustic waves in a porous medium obeying the Biot theory and containing a random distribution of cylindrical cavities and that of an acoustic wave in a fluid containing a random polydisperse distribution of porous spheres. In the first case we use the generalization by Conoir-Norris of the Linton-Martin formula. It allows to take into account the phenomenon of the conversion between the three waves (two longitudinal and one transverse) naturally propagating in a porous Biot medium containing a random distribution of cavities. Analytical expressions are found for the effective wavenumbers of coherent waves in the Rayleigh limit (low frequency regime). The approximations of the densities and heterogeneous media modules are presented up to the order of c2 in concentration. The limiting case of random fluid cavities in an elastic matrix is also discussed. In the second case the effective wavenumbers, moduli and density are determined for polydisperse distributions of poroelastic spheres. To achieve this, the recent formulas of the effective wave number given by Linton and Martin in the dilute monodisperse case have been modified. Given the uncertainty for predicting the distribution in size of obstacles, three different probability densities are studied and compared: uniform, Schulz and lognormal. More precisely, the Rayleigh limit is taken into account when the wave lengths can be assumed to be very large compared to the size of the obstacles. Within this limit, simplified formulas for concentrations are provided depending on the parameter characterizing the size dispersion
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Millon, Célia. "Contribution à l’inspection d’échantillons de fabrication additive métallique par ondes de Rayleigh au moyen d’une méthode ultrasons-laser." Thesis, Paris, CNAM, 2018. http://www.theses.fr/2018CNAM1195/document.
Full textAbstract:
L’objectif de cette thèse est de contribuer à la détection de défauts dans des pièces réalisées par le procédé de fabrication additive de déposition métallique par laser (DML), en vue d’un contrôle in situ. Le contrôle in situ envisagé porte sur les derniers cordons déposés par le procédé (acier 316L et Inconel 718), pour lesquels des porosités et fissures peuvent apparaître (~ 100 µm). L’inspection est effectuée par méthode ultrasons-laser (UL), c’est-à-dire tout optique et non intrusive (régime thermoélastique). Le procédé DML engendre une microstructure dite à gros grains et des rugosités de surface qui rendent le contrôle ultrasonore plus délicat. En effet, ces caractéristiques microstructurales provoquent la diffusion des ondes élastiques dans le milieu. Ce travail de thèse participe donc à la compréhension de ces phénomènes et de leurs influences pour mieux détecter des défauts subsurfaciques dont les dimensions sont proches des longueurs d’ondes acoustiques. Ainsi, l’inspection en surface a été optimisée par la conception d’un montage optique, permettant de favoriser la génération de l’onde de Rayleigh, par une ligne source laser fine (~200 µm) et présentant des fronts raides. En conséquence, le contenu spectral de l’onde a été augmenté vers les hautes fréquences, c’est-à-dire jusqu’à 10 MHz. La longueur d’onde de Rayleigh (λR) a pu être ainsi diminuée à une valeur proche de celle des défauts recherchés, de l’ordre de 700 µm. Ensuite, les limites de ce dispositif ont été mises en évidence sur des pièces fabriquées par le procédé DML. Ces pièces comportent des défauts usinés, des entailles et des trous génératrice dont les dimensions sont inférieures à λR, leur surfaces est rugueuse (diffraction multiple de l’onde de Rayleigh). Puis, l’inspection de défauts réels subsurfaciques est étudiée. Ces défauts sont créés soit par une variation d’un des paramètres du procédé, le hatch (distance inter-cordon), ou encore par l’utilisation d’une poudre métallique de mauvaise qualité. En dégradant volontairement ces paramètres, les échantillons présentent alors des taux de porosités (Φ) pouvant s’étendre de 0,5% à 10%. Enfin, deux méthodes de corrélations ont été exploitées pour discriminer les taux de porosités : à travers l’étude du degré de ressemblance et l’Analyse en Composantes Principales (ACP). La première méthode, simple et rapide à mettre en œuvre, ne permet cependant pas de distinguer les taux de porosités. En revanche, l’ACP indique qu’il est possible de discriminer tous les défauts. Pour finir, des tests préliminaires ont été effectués afin de montrer qu’il est possible d’effectuer des mesures par méthode UL sur surface rugueuse, tout en conservant un bon rapport signal sur bruit, et ce sans moyenner les signaux, au cours d’un déplacement robotiséThis thesis contributes to the detection of flaws in laser metal deposition (LMD) additive manufacturing process samples towards an in situ control of the process. The in situ control foreseen concerns the last layers deposited by the process (316L and Inconel 718 steel) for which porosities and cracks may appear (~ 100 µm). The inspection is performed by laser-ultrasonics (LU), an all-optical and non-invasive technic. Experiments are conducted in thermoelastic mode. The LMD process gives rise to coarse grain microstructure and surface roughness, that make the control tricky. Indeed, those characteristics generate scattering elastic waves. Thus, this work contributes to the better comprehension of those phenomena and their effects of the detection on subsurface flaws which dimensions are close to the acoustic wavelength. Surface inspection has been optimized by designing an optical setup, improving the Rayleigh wave generation by using a thin laser line source (~200 µm). Hence, the spectral content has been increased until it reaches 10 MHz, that is to say a wavelength equals to 700 µm (λR). Then, the limits have been brought out through the inspection of LMD samples. Those samples include sided drilled holes and notches which dimensions are less than λR, on rough surface (multiple scattering of Rayleigh wave). Moreover, real subsurface flaws inspections have been studied. The flaws have been created by the instability of one of the process parameter: the hatch (distance between each layer), or by a bad powder quality. By intentionally deteriorating those parameters, the samples, then, have porosity rate (Φ) with ranging from 0.5% to 10%. Finally, two correlation methods have been studied to discriminate porosity rate: through the study of the normalized cross correlation function and by Principal Component Analysis (PCA). The first method, simple and fast to implement, does not allow distinguishing the porosity rates. Nevertheless, the PCA indicates that it is possible to discriminate all the flaws. Finally, preliminary tests have been carried out to show that LU measurements is feasible on rough surfaces, while keeping a good signal-to-noise ratio, without averaging, during an automated displacement
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Mousselon, Laure. "Radio Wave Propagation Measurements and Modeling for Land Mobile Satellite Systems." Thesis, Virginia Tech, 2002. http://hdl.handle.net/10919/10155.
Full textAbstract:
The performance of a mobile satellite communications link is conditioned by the characteristics of the propagation path between a satellite and mobile users. The most important propagation effect in land mobile satellite system is roadside attenuation of the signals due to vegetation or urban structures. System designers should have the most reliable information about the statistics of the propagation channel to build reliable systems that can compensate for bad propagation conditions.
In 1998, the Virginia Tech Antenna Group developed a simulator, PROSIM, to simulate a propagation channel in the case of roadside tree attenuation in land mobile satellite systems. This thesis describes some improvements to PROSIM, and the adaptation and validation of PROSIM for Digital Audio Radio Satellite systems operating at S-band frequencies. The performance of the simulator for S-band frequencies was evaluated through a measurement campaign conducted with the XM Radio signals at 2.33 GHz in various propagation environments. Finally, additional results on dual satellite systems and fade correlation are described.Master of Science
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Duan, Yuting. "Trapped modes and acoustic resonances." Thesis, Loughborough University, 2004. https://dspace.lboro.ac.uk/2134/12860.
Full textAbstract:
The scattering of waves by a finite thin plate in a two-dimensional wave guide and an array of finite thin plates, in the presence of subsonic mean flow, are formulated using a mode matching technique. The influence of mean flow on trapped modes in the vicinity of a finite thin plate in a two-dimensional wave guide is then investigated by putting the amplitude of the forcing term to zero in the scattering problem. The conditions for complex resonances are found, and numerical results are computed. The influence of mean flow on Rayleigh-Bloch modes is investigated by using a similar methodology. The condition for embedded trapped modes to exist is introduced next, and then numerical results for embedded trapped modes without mean flow are presented. Complex resonances without mean flow are then found by fixing the geometry of the waveguide. The influence of mean flow on complex resonances and embedded trapped modes is investigated subsequently. In addition, the investigation of scattering coefficients is discussed when the frequency of an incident wave is near the real part of the frequency of complex resonances or embedded trapped modes. Embedded trapped modes near an indentation in a strip wave guide, which may correspond to a two-dimensional acoustic wave guide or a channel of uniform water depth in water waves, are also found. Modes are sought which are either symmetric or anti-symmetric about the centreline of the guide and the centre of the indentation. In each case, a simple approximate solution is found numerically. Full solutions are then found by using a Galerkin approach in which the singularity near the indentation edge is modelled by choosing proper special functions. The final part of the thesis is devoted to spinning modes (Rayleigh-Bloch modes) in a cylindrical waveguide in the presence of radial fins. A mode matching technique is used to obtain the potential, and the coefficients in the expansion are found numerically by using an efficient Galerkin procedure. In addition, an existence proof for modes symmetric about the centre of the guide and the centre of the section with radial fins is given by applying a variational approach. The connection between Rayleigh-Bloch modes and trapped modes is discussed thereafter, and numerical results for a number of geometric configurations are presented.
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Alcantara, Glaucio Pedro de 1974. "Estudo das propriedades acusticas do filme fino de TiO2 usando SAW." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/258792.
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Orientador: Jacobus W. SwartDissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Eletrica e de Computação
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Resumo: Este trabalho de dissertação apresenta o estudo e projeto dos elementos que compõem um sensor de gases baseado na tecnologia de Onda Acústica de Superfície (SAW), tais como, o oscilador colpitts SAW e um ressonador SAW de uma porta, os quais estão na malha de realimentação de um amplificador. Foi realizado também a deposição de diferentes espessuras de filme fino de TiO2 sobre o sensor, a fim de se estudar o efeito da atenuação da SAW na fronteira entre o cristal e o filme. É mostrado que atenuação da SAW acontece no filme na fina camada de aproximadamente 500 angstroms de espessura. A dependência de espessura com a mudança de freqüência e com fator Q do oscilador SAW e ressonador são apresentados, bem como a ssensitividade de massa do ressonador SAW para o filme de TiO2. Um modelo de oscilador SAW usando 2 caminhos acústicos, de melhor sensitividade que aquele de modo simples, foi estudado e proposto
Abstract: This thesis presents the study and design of the elements which compose a gas sensor based on Surface Acoustic Wave technology, such as, SAW Colpitts oscillator and the SAW one-port resonator that are presents in the feedback loop of an amplifier. It was done deposition of TiO2 thin film different thickness on the sensor, in order to study the effect of SAW attenuation on the border between the crystal and the film. It is shown that SAW attenuation takes place in the film in thin layer of about 500 angstroms thickness. Thickness dependence of frequency shift and Q-factor of SAW oscillator and resonator, as well as, the mass sensitivity of SAW resonator to TiO2 film are presented. The model of SAW oscillator which uses two acoustic paths, has been studied and proposed.
Mestrado
Mestre em Engenharia Elétrica
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Dudchenko, Aleksandr. "Analyse numérique de l’interaction des ondes de Rayleigh en surface avec des barrières sismiques et des champs de pieux prenant en compte le comportement élastoplastique du sol." Thesis, Université Grenoble Alpes (ComUE), 2018. http://www.theses.fr/2018GREAI102/document.
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Le travail présent est axé sur la simulation numérique et l'analyse de l'interaction des ondes de surface de Rayleigh avec des barrières sismiques verticales (murs souterrains, écrans, tranchées, etc.) ainsi que des champs de pieux dans des modèles de matériaux mécaniques élastiques et plastiques linéaires. Le but de la recherche est d'estimer le degré de protection que les barrières verticales et les champs de pieux fournissent contre les vibrations transférées par les ondes de surface de Rayleigh et générées par diverses sources. L'idée principale de ce type de protection est d'éviter que les ondes sismiques ne transmettent l'énergie des vagues dans la zone protégée, diminuant les amplitudes de déplacements, les vitesses et les accélérations aux points situés derrière la barrière (champ de pieux). Les principaux complexes sans dimension sont formulés. L'attention est portée sur les ondes de Rayleigh car elles peuvent être générées à la fois par des sources de vibrations externes (situées à la surface de la Terre) et internes (situées sous la surface de la Terre) et ses ondes peuvent transmettre une portion significative de l’énergie de source de la vibration.Premièrement, des simulations numériques de l'interaction des ondes de Rayleigh avec les barrières sismiques verticales et les champs de pieux sont effectuées en supposant que le sol et les matériaux de barrière se comportent conformément à la loi de comportement linéaire élastique. Cela concerne les vibrations qui induisent des contraintes de cisaillement dans le sol n'excédant pas 0.00001 lors de leur propagation. Les principaux complexes sans dimension sont formulés sur cette base. Des paramètres géométriques et mécaniques de la barrière (champ de pieux) déterminant l'effet de réduction de vibration sont identifiés. Les résultats obtenus révèlent la validité de cette onde de protection contre les vibrations. En outre, l’approche de l’optimisation de la barrière sismique verticale (qui peut également être étendue au champ de pieux) est adoptée sous forme de différences finies pour des conditions de sol particulières et une fréquence de vibration de conception.Plusieurs modèles de comportement du sol sont analysés et leur validité, ainsi que l'applicabilité à l'approximation du comportement dynamique réel du sol, ainsi que le mécanisme de dissipation d'énergie des vibrations, sont identifiés. Sur la base de cette analyse, modèle de Mohr-Coulomb a été choisie car elle dispose d’une base de données expérimentale étendue pour divers sols et reflète de manière appropriée la réduction du module de cisaillement avec l’augmentation de la contrainte de cisaillement ainsi que les effets de dissipation d’énergie. Par la suite, ce modèle est utilisé dans l'analyse de l'interaction des ondes de Rayleigh avec les barrières verticales et les champs de pieux, en tenant compte du caractère non linéaire de la déformation du sol à différents niveaux de déformation de cisaillement. En conséquence, l'influence du niveau de contrainte de cisaillement sur l'efficacité des moyens de protection contre les vibrations considérés est démontrée et les conditions appropriées pour utiliser ces méthodes sont identifiées dans le cadre de cette rechercheThe present work is focused on numerical simulation (FEM) and analysis of surface Rayleigh wave interaction with vertical seismic barriers (underground walls, screens, trenches, etc.) as well as pile fields within the framework of linear elastic and plastic mechanical material models. The aim of the research is to estimate the degree of protection that vertical barriers and pile fields provide against vibrations transferred by surface Rayleigh waves and generated by various sources. The main idea behind this type of protection is to prevent seismic waves form transmitting wave energy into the protected zone, decreasing the amplitude of displacements, velocities and accelerations at the points behind the barrier (pile field). The attention is paid to Rayleigh waves as they can be generated by both external (located on the Earth's surface) and internal (located beneath the Earth's surface) vibration sources and this type of waves can transfer a significant portion of vibration source energy.First, numerical simulations of Rayleigh wave interaction with vertical seismic barriers and pile fields are performed assuming the soil and barrier materials to behave according to the linearly-elastic constitutive law. This regards the vibrations that induce shear strains in the soil not exceeding 0.00001 during their propagation. Based on this, the principal dimensionless complexes are formulated. Geometrical along with mechanical parameters of the barrier (pile field), that determine vibration reduction effect, are identified. The obtained results reveal the validity of this way of vibration protection. In addition to that, the approach towards vertical seismic barrier optimization (which can also be extended to the pile field) is adopted in finite difference form to use for particular soil conditions and design vibration frequency.Several models of soil behaviour are analysed and their validity as well the applicability to approximate real dynamic soil behaviour along with the mechanism of vibration energy dissipation are identified. Based on this analysis, Mohr-Coulomb constitutive model is selected as it has a broad experimental database for various soils and appropriately reflects shear modulus reduction with an increase in the shear strain as well as energy dissipation effects. Afterwards, this model is used in the analysis of Rayleigh wave interaction with the vertical barriers and pile fields accounting for non-linear character of soil deformation at different shear strain level. As a results, the influence of shear strain level on the effectiveness of the considered ways of vibration protections is shown and the appropriate conditions to use these methods are identified within the scope of this research
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Monfret, Tony. "Utilisation de la composante verticale du mode fondamental des ondes de rayleigh du manteau : etude de la source sismique et modelisation tri-dimensionnelle de la terre." Paris 7, 1988. http://www.theses.fr/1988PA077123.
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La methode developpee permet, tout en estimant le temps de source du processus de rupture, de contraindre la profondeur du centroide et de determiner le tenseur de moments sismiques. Lorsque la source ne peut plue etre assimilee a un point, une methode proposee permet de mesurer les parametres associes a la propagation du front de rupture. Enfin un modele tri-dimensionnel de terre qui est peu different des modeles actuels est propose
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Hobiger, Manuel. "Polarisation des ondes de surface : caractérisation, inversion et application à l'étude de l'aléa sismique." Phd thesis, Université de Grenoble, 2011. http://tel.archives-ouvertes.fr/tel-00577887.
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L'aléa sismique d'un site donné peut être largement influencé par des effets de site. Afin d'évaluer ces effets, la structure locale du sous-sol ainsi que les propriétés du champ d'onde doivent être étudiées. Les ondes de surface (ondes de Love et de Rayleigh) s'avèrent utiles, leurs propriétés (courbes de dispersion, ellipticité des ondes de Rayleigh) étant directement liées à la structure du sous-sol. Le paramètre clé pour l'identification du type d'onde est la polarisation. Dans la première partie de la thèse, de nouvelles méthodes pour l'estimation de paramètres de polarisation d'ondes de surface sont développées. Deux méthodes, DELFI et RayDec, estiment l'ellipticité des ondes de Rayleigh à partir d'enregistrements d'un seul capteur sismique. La troisième méthode, MUSIQUE, est basée sur la méthode MUSIC et utilise les enregistrements multi-composantes de réseaux sismiques afin de distinguer ondes de Love et ondes de Rayleigh et d'estimer leurs propriétés. Dans la deuxième partie de la thèse, une étude théorique de l'inversion de courbes d'ellipticité montre quelles parties de ces courbes véhiculent les informations importantes sur la structure du sol et comment l'inversion peut être améliorée. Le schéma d'inversion résultant est alors testé en l'appliquant à des données réelles mesurées pour 14 sites européens. Finalement, 22 séismes enregistrés par un réseau de capteurs dans la vallée de Santa Clara en Californie sont analysés par MUSIQUE. La répartition azimutale, les courbes de dispersion, la courbe d'ellipticité et les énergies des différents types d'ondes sont analysées et soulignent l'importance des ondes de surface diffractées dans le champ d'ondes enregistré.
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Soltani, Fethi. "Caractérisation de la pâte de ciment par des méthodes ultrasonores." Phd thesis, Ecole Centrale de Lille, 2010. http://tel.archives-ouvertes.fr/tel-00685879.
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Dans cette thèse, les travaux présentés s'appuient sur une démarche expérimentale utilisant, outre les mesures destructives habituellement mises en œuvre pour la caractérisation des matériaux cimentaires, les techniques non destructives exploitant la propagation des ondes ultrasonores à des fréquences comprises entre 50 kHz et 600 kHz. L'objectif est d'étudier les corrélations entre les propriétés hydrauliques et mécaniques de la pâte de ciment et les paramètres linéaires des ondes ultrasonores (vitesse et atténuation). L'étude concerne plus particulièrement les relations entre la porosité et la vitesse ultrasonore des différents types d'onde (ondes de volume et onde de Rayleigh). Les matériaux étudiés sont des pâtes de ciment à porosité variable, confectionnées avec différents rapports E/C et avec différents dosages en entraineur d'air. Afin de prendre en compte l'effet de la teneur en eau, les mesures sont effectuées à différents états de saturation : état saturée, 70% de saturation, 30% de saturation et l'état sec. Les données recueillies permettent la constitution d'une base des données expérimentale regroupant les caractéristiques physiques, mécaniques et ultrasonores de la pâte de ciment. Dans la dernière partie de cette thèse, les relations entre les vitesses ultrasonores et la porosité basées sur deux approches macroscopique et microscopique sont présentées et confrontées aux mesures
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Faëse, Frédéric. "Génération d'ondes acoustiques de surface par différentes sources lasers : applications à la caractérisation sans contact de défauts." Thesis, Valenciennes, 2013. http://www.theses.fr/2013VALE0039/document.
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Diverses industries telles que l'aéronautique ou la sidérurgie s’intéressent de plus en plus aux ultrasons laser qui sont une technique de pointe utilisée pour le contrôle et l'évaluation non destructifs des matériaux. Cette méthode d’excitation et de détection des ondes ultrasonores présente comme principaux avantages d’être sans contact et adaptée à des échantillons pour lesquels la mise en œuvre de méthodes conventionnelles s'avère difficile notamment lorsqu’ils sont portés à haute température et/ou qu’ils sont de géométrie complexe.Durant cette thèse, nous nous sommes intéressés à la propagation des ondes acoustiques de surface générées par sources lasers et à l’interaction de ces ondes avec différents défauts. Les modèles analytiques de l’interaction onde-défaut étant limités à quelques cas particuliers, l’étude théorique a été menée en privilégiant une modélisation par éléments finisqui a permis d’accéder aux champs de déplacement des ondes engendrées. Les résultats expérimentaux ont d’abord permis de confirmer la pertinence des modèles analytiques et des modélisations par éléments finis. Ils ont ensuite consisté en l’étude de l’interaction onde-défaut pour différentes formes de défauts et différentes sources thermoélastiques.Les résultats de modélisation associés aux résultats expérimentaux ont en particulier mené à une méthode originale de caractérisation basée sur une conversion de mode permettant de déterminer à partir d’un seul A-scan à la fois la position et la profondeur du défaut. Des sources thermoélastiques non conventionnelles ont également été développées et leur potentiel d’applications pour le contrôle non destructif a été mis en évidenceIndustries like aeronautics or iron and steel industry are more and more interested in laser ultrasonics, which is a cutting-edge technique used in non-destructive testing and evaluation. The main advantages of this acoustic wave generation and detection method are its noncontact feature and its ability to characterize high temperature and/or geometrically complex materials for which conventional methods implementation turns out to be difficult.During this thesis, we dealt with the propagation of surface acoustic waves (SAW) generatedby laser sources and their interaction with different flaws. As analytical models describing theinteraction between SAW and flaws are limited to a few special cases, the theoretical study was preferentially led thanks to the finite element method (FEM) that gave the different waves displacement fields. Experimental results first confirmed analytical models and FEM results suitability. Then, they consisted in studying the interaction between SAW and flaws for different flaw shapes and different thermoelastic sources.FEM results combined with experimental results especially led to an original characterizationmethod based on mode conversion giving both the flaw position and depth thanks to a singleA-scan. Unusual thermoelastic sources have also been implemented and their potentialities in non destructive testing and evaluation applications have been highlighted