Academic literature on the topic 'Earth resistance (Geophysics) Mathematical models'

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Journal articles on the topic "Earth resistance (Geophysics) Mathematical models"

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Mishra, Jagriti, and Takuya Inoue. "Alluvial cover on bedrock channels: applicability of existing models." Earth Surface Dynamics 8, no. 3 (August 13, 2020): 695–716. http://dx.doi.org/10.5194/esurf-8-695-2020.

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Abstract. Several studies have demonstrated the importance of alluvial cover; furthermore, several mathematical models have also been introduced to predict the alluvial cover on bedrock channels. Here, we provide an extensive review of research exploring the relationship between alluvial cover, sediment supply and bed topography of bedrock channels, describing various mathematical models used to analyse the deposition of alluvium. To test one-dimensional theoretical models, we performed a series of laboratory-scale experiments with varying bed roughness under simple conditions without bar formation. Our experiments show that alluvial cover is not merely governed by increasing sediment supply and that bed roughness is an important controlling factor of alluvial cover. A comparison between the experimental results and the five theoretical models shows that (1) two simple models that calculate alluvial cover as a linear or exponential function of the ratio of the sediment supplied to the capacity of the channel produce good results for rough bedrock beds but not for smoother bedrock beds; (2) two roughness models which include changes in roughness with alluviation and a model including the probability of sediment accumulation can accurately predict alluvial cover in both rough and smooth beds; and (3), however, except for a model using the observed hydraulic roughness, it is necessary to adjust model parameters even in a straight channel without bars.
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Lugoe, Furaha N. "Rigorous mathematical models for the densification and integration of geodetic networks." Bulletin Géodésique 64, no. 3 (September 1990): 219–29. http://dx.doi.org/10.1007/bf02519177.

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Tague, John A., and Kerry D. Schutz. "Seismic transient deconvolution with model‐based signal processing." GEOPHYSICS 62, no. 4 (July 1997): 1321–30. http://dx.doi.org/10.1190/1.1444234.

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Short duration seismic disturbances, obscured by earth noise and distorted by the seismometers used to measure them, can be reconstructed using model‐based signal processing. “Model based” means that mathematical models of the seismic transient, earth noise, and seismometer dynamics are infused into the signal processor that estimates the disturbance. The processor imposes no predetermined structure on the transient and the earth noise need not be white. Model‐based processors produce good quality estimates for a broad class of transient waveforms.
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Langel, R. A. "International Geomagnetic Reference Field, 1991 Revision: International Association of Geomagnetism and Aeronomy (IAGA) Division V, Working Group 8: Analysis of the main field and secular variation." GEOPHYSICS 57, no. 7 (July 1992): 956. http://dx.doi.org/10.1190/1.1443310.

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The International Geomagnetic Reference Field (IGRF) is a series of mathematical models of the main geomagnetic field and its secular variation. Each model consists of a set of spherical harmonic (or Gauss) coefficients, g and h in a series expansion of the geomagnetic potential [Formula: see text], where a is the mean radius of the Earth (6371.2 km); r the radial distance from the center of the Earth; ϕ the east longitude measured from Greenwich; θ the geocentric colatitude; and [Formula: see text] the associated Legendre function of degree n and order m, normalized according to the convention of Schmidt [see, e.g., Langel (1987)]. In principle, N should be ∞ but the Working Group is of the opinion that in practice the available data for most epochs do not justify N greater than 10. This value is chosen to maintain consistency between models at different epochs. The coefficients are in units of nanotesla (nT).
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Niwas, Sri, and M. Israil. "Computation of apparent resistivities using an exponential approximation of kernel functions." GEOPHYSICS 51, no. 8 (August 1986): 1594–602. http://dx.doi.org/10.1190/1.1442210.

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We present a fresh approach to the mathematical computation of apparent resistivities in electrical prospecting. The method is based on an exponential approximation of the kernel function which reduces the integral equation for the potential over a layered earth to a simple algebraic equation. The coefficients in the approximation are obtained using a least‐squares inversion technique. A single, unified matrix equation allows computation of apparent resistivity values for arbitrary four‐electrode arrays over a layered earth. The unified G function automatically reduces to that of a symmetrical four‐electrode array and dipole array function with the proper interelectrode separation. Computations for some two‐, three‐, and four‐layer earth models (Schlumberger configuration), along with a few Wenner and radial dipole apparent resistivity values, demonstrate the versatility of this unified equation.
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Aksenov, A. L., and O. I. Kozlov. "Satellite and aerial imagery geo-referencing using ground features." Geodesy and Cartography 975, no. 9 (October 20, 2021): 21–29. http://dx.doi.org/10.22389/0016-7126-2021-975-9-21-29.

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The method of geo-referencing satellite- and aerial imagery using reference points, linear and non-linear features, and segments of geodetic tracks as elements of a plan-altitude basis is discussed in this article. The method can be used for any mathematical model of satellite- and aerial imagery. The parametric description of the features, that can be used for the geo-referencing and various mathematical models of the above-mentioned imagery are presented. The mathematical formulation of the matter of satellite and aerial imagery geo-referencing using terrain objects and reference points is presented. A list of linear and non-linear features that can be included in a high-raised basis along with reference points is made. A generalized algorithm for geo-referencing satellite and aerial imagery using reference points and terrain features is given. The algorithm includes making a nonlinear system of equations for reference points and items, linearizing the system and solving by the sequential approximation technique according to the least squares method. An example of clarifying the satellite RPC-model and aerial imagery using reference points, linear and non-linear features is given. The advantages of the proposed method of using features created according to the measurements on satellite and aerial imagery compared with method, when the model of the feature is created according to the measurements on the ground are described.
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Mondragón, Román, Joaquín Alonso-Montesinos, David Riveros-Rosas, Mauro Valdés, Héctor Estévez, Adriana E. González-Cabrera, and Wolfgang Stremme. "Attenuation Factor Estimation of Direct Normal Irradiance Combining Sky Camera Images and Mathematical Models in an Inter-Tropical Area." Remote Sensing 12, no. 7 (April 9, 2020): 1212. http://dx.doi.org/10.3390/rs12071212.

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Nowadays, it is of great interest to know and forecast the solar energy resource that will be constantly available in order to optimize its use. The generation of electrical energy using CSP (concentrated solar power) plants is mostly affected by atmospheric changes. Therefore, forecasting solar irradiance is essential for planning a plant’s operation. Solar irradiance/atmospheric (clouds) interaction studies using satellite and sky images can help to prepare plant operators for solar surface irradiance fluctuations. In this work, we present three methodologies that allow us to estimate direct normal irradiance (DNI). The study was carried out at the Solar Irradiance Observatory (SIO) at the Geophysics Institute (UNAM) in Mexico City using corresponding images obtained with a sky camera and starting from a clear sky model. The multiple linear regression and polynomial regression models as well as the neural networks model designed in the present study, were structured to work under all sky conditions (cloudy, partly cloudy and cloudless), obtaining estimation results with 82% certainty for all sky types.
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Melis, M. T., F. Mundula, F. DessÌ, R. Cioni, and A. Funedda. "Tracing the boundaries of Cenozoic volcanic edifices from Sardinia (Italy): a geomorphometric contribution." Earth Surface Dynamics 2, no. 2 (September 25, 2014): 481–92. http://dx.doi.org/10.5194/esurf-2-481-2014.

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Abstract. Unequivocal delimitation of landforms is an important issue for different purposes, from science-driven morphometric analysis to legal issues related to land conservation. This study is aimed at giving a new contribution to the morphometric approach for the delineation of the boundaries of volcanic edifices, applied to 13 monogenetic volcanoes (scoria cones) related to the Pliocene–Pleistocene volcanic cycle in Sardinia (Italy). External boundary delimitation of the edifices is discussed based on an integrated methodology using automatic elaboration of digital elevation models together with geomorphological and geological observations. Different elaborations of surface slope and profile curvature have been proposed and discussed; among them, two algorithms based on simple mathematical functions combining slope and profile curvature well fit the requirements of this study. One of theses algorithms is a modification of a function introduced by Grosse et al. (2011), which better performs for recognizing and tracing the boundary between the volcanic scoria cone and its basement. Although the geological constraints still drive the final decision, the proposed method improves the existing tools for a semi-automatic tracing of the boundaries.
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Epov, M. I., V. N. Glinskikh, M. N. Nikitenko, A. A. Lapkovskaya, A. R. Leonenko, A. M. Petrov, K. V. Sukhorukova, and D. I. Gornostalev. "MODERN ALGORITHMS AND SOFTWARE FOR INTERPRETATION OF RESISTIVITY LOGGING DATA." Geodynamics & Tectonophysics 12, no. 3S (October 19, 2021): 669–82. http://dx.doi.org/10.5800/gt-2021-12-3s-0546.

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The electrodynamics of geological media investigates the interrelations of resistivity logging signals and properties of fluid-containing rocks and creates innovative well logging technologies. Its development is inextricably linked with modern techniques for mathematical modeling and quantitative interpretation of high-precision data. In order to increase the information content of galvanic and electromagnetic logging, we have developed algorithms and software for numerical simulation and inversion of field data. In our study of the Cretaceous and Jurassic deposits of West Siberia, a quantitative interpretation of high-frequency electromagnetic and lateral logging signals was carried out. To create geoelectric models, we interpreted the field resistivity logging data by an unconventional quantitative technique based on their joint numerical inversion and estimations of the vertical resistivity of permeable deposits. Another line of our research was aimed at a scientific substantiation of a new technology for mapping and spatial tracking of lateral heterogeneities and oil-promising zones in the Bazhenov Formation. The aim was achieved by using the TEM sounding data on a spatially distributed system of directional and horizontal wells.
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Xing, Guangchi, and Tieyuan Zhu. "A viscoelastic model for seismic attenuation using fractal mechanical networks." Geophysical Journal International 224, no. 3 (November 17, 2020): 1658–69. http://dx.doi.org/10.1093/gji/ggaa549.

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SUMMARY Seismic attenuation (quantified by the quality factor Q) has a significant impact on the seismic waveforms, especially in the fluid-saturated rocks. This dissipative process can be phenomenologically represented by viscoelastic models. Previous seismological studies show that the Q value of Earth media exhibits a nearly frequency-independent behaviour (often referred to as constant-Q in literature) in the seismic frequency range. Such attenuation can be described by the mathematical Kjartansson constant-Q model, which lacks of a physical representation in the viscoelastic sense. Inspired by the fractal nature of the pore fluid distribution in patchy-saturated rocks, here we propose two fractal mechanical network (FMN) models, that is, a fractal tree model and a quasi-fractal ladder model, to phenomenologically represent the frequency-independent Q behaviour. As with the classic viscoelastic models, the FMN models are composed of mechanical elements (spring and dashpots) arranged in different hierarchical patterns. A particular parametrization of each model can produce the same complex modulus as in the Kjartansson model, which leads to the constant-Q. Applying the theory to several typical rock samples, we find that the seismic attenuation signature of these rocks can be accurately represented by either one of the FMN models. Besides, we demonstrate that the ladder model in particular exhibits the realistic multiscale fractal structure of the saturated rocks. Therefore, the FMN models as a proxy could provide a new way to estimate the microscopic rock structure property from macroscopic seismic attenuation observation.
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Dissertations / Theses on the topic "Earth resistance (Geophysics) Mathematical models"

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Rigoti, Augustinho. "Reduction of ambiguity in geological models using multiple data sets." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66266.

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Books on the topic "Earth resistance (Geophysics) Mathematical models"

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N, Zharkov V., ed. The earth and its rotation: Low frequency geodynamics. Heidelberg: Wichmann, 1996.

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2

1930-, Aki Keiiti, and Dmowska Renata, eds. Relating geophysical structures and processes: The Jeffreys volume. Washington, DC: American Geophysical Union, 1993.

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Wild, Martin. The heat balance of the earth in GCM simulations of present and future climates. Zürich: Geographisches Institut ETH, 1997.

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Ferronskiĭ, V. I. Dynamics of the earth: Theory of the planet's motion based on dynamic equilibrium. Dordrecht: Springer, 2010.

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G, Sammis Charles, Saito M, and King Geoffrey C. P, eds. Fractals and chaos in the earth sciences. Basel: Birkhäuser Verlag, 1993.

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Unninayar, Sushel. Modeling the earth system in the mission to planet earth era. [Greenbelt, Md.?]: National Aeronautics and Space Administration, 1993.

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Unninayar, Sushel. Modeling the Earth system in the Mission to Planet Earth era. [Washington, DC]: NASA, 1993.

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8

Kelly, Richard E. J., Nicholas A. Drake, and Stuart L. Barr. Spatial modelling of the terrestrial environment. Edited by Wiley online library. Chichester, West Sussex, England: Wiley, 2004.

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9

Grafarend, Erik. Linear and Nonlinear Models: Fixed effects, random effects, and total least squares. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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F, Krapivin V., and Phillips Gary W. 1940-, eds. Global environmental change: Modelling and monitoring. Berlin: Springer, 2002.

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