Relevant bibliographies by topics / Rocks Testing Mathematical models

Academic literature on the topic 'Rocks Testing Mathematical models'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Rocks Testing Mathematical models"

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Andjelkovic, Vladimir, Zarko Lazarevic, and Velimir Nedovic. "Application of analogous models in civil engineering." Facta universitatis - series: Architecture and Civil Engineering 9, no. 3 (2011): 395–405. http://dx.doi.org/10.2298/fuace1103395a.

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The paper describes the results of making the mathematical and physical models of the authors, by using analogous methods and materials. There is the mathematical rock mass deformability model as a base for foundation engineering a concrete arch dam and the physical rock slope model which was tested by loading until failure and the results were compared with the calculation procedure. In the first example the correlation is established between the static and the analogous dynamic in situ investigations for creating the mathematical rock mass deformability model. In the second example there is application of the analogous materials for the discontinuity shearing simulation on the physical slope model. The results of the geotechnical in situ investigations and laboratory testing carried out in the Institute for Development of Water Resources "Jaroslav Cerni" in Belgrade were used for making the models.
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Xiaolong, Tong, Yan Liangjun, and Xiang Kui. "Modifying the generalized effective-medium theory of induced polarization model in compacted rocks." GEOPHYSICS 85, no. 4 (June 15, 2020): MR245—MR255. http://dx.doi.org/10.1190/geo2019-0718.1.

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The generalized effective-medium theory of the induced polarization model (GEMTIP) is a mathematical-physical model derived from the Maxwell equations based on the effective-medium approach. Compared to the Cole-Cole model, the GEMTIP parameters are better related to the structural parameters of reservoir rocks, such as rock composition, mineral particle size, porosity, and specific surface; therefore, it can better describe the induced polarization (IP) characteristics of tight oil and gas reservoirs. However, GEMTIP is not suitable for high-resistivity perturbed media, and it does not account for interfacial polarization, which occurs between two media that share the same resistivity. Starting from the theoretical assumptions of the GEMTIP model, we derived an extended GEMTIP model (MGEMTIP) by adding an equivalent surface current term into the Maxwell equations for a heterogeneous medium. The complex resistivity parameters predicted by two models are compared through numerical simulation, and the results demonstrate that MGEMTIP can more accurately predict the DC resistivity and the chargeability of heterogeneous media. MGEMTIP is suitable for characterizing the polarization phenomena of rock with high salinity, low porosity, low hydraulic permeability, and a disseminated perturbed medium. Furthermore, the testing of rock samples for the inversion of IP parameters with MGEMTIP revealed that the predicted chargeability is higher than the inverted chargeability from the experimental data. This difference is strongly correlated with rock hydraulic permeability. MGEMTIP provides a petrophysical basis for the forward modeling and inversion of IP parameters of compacted rocks. The quantitative relationships between model IP parameters and reservoir parameters also provide a theoretical foundation for predicting reservoir permeability using electromagnetic methods.
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Denny, Mark W., and Ben B. Hale. "Cyberkelp: an integrative approach to the modelling of flexible organisms." Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences 358, no. 1437 (August 11, 2003): 1535–42. http://dx.doi.org/10.1098/rstb.2003.1341.

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Biomechanical models come in a variety of forms: conceptual models; physical models; and mathematical models (both of the sort written down on paper and the sort carried out on computers). There are model structures (such as insect flight muscle and the tendons of rats' tails), model organisms (such as the flying insect, Manduca sexta ), even model systems of organisms (such as the communities that live on wave–swept rocky shores). These different types of models are typically employed separately, but their value often can be enhanced if their insights are integrated. In this brief report we explore a particular example of such integration among models, as applied to flexible marine algae. A conceptual model serves as a template for the construction of a mathematical model of a model species of giant kelp, and the validity of this numerical model is tested using physical models. The validated mathematical model is then used in conjunction with a computer–controlled tensile testing apparatus to simulate the loading regime placed on algal materials. The resulting information can be used to create a more precise mathematical model.
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Skakal's'ka, L. "Physical and reservoir properties prediction for reservoir rocksin unconventional gas-bearing geological structures." Visnyk of Taras Shevchenko National University of Kyiv. Geology, no. 1 (64) (2014): 35–40. http://dx.doi.org/10.17721/1728-2713.64.07.35-40.

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Research into the behavior of elastic waves in thin-layered gas-bearing geological structures depends on the choice of geophysical and mathematical models of natural geological media and the numerical methods of problem solving. Hence the efficiency of a quasi-homogeneous, isotropic fractured-porous two-phase medium with given physical and mechanical properties. We have suggested a method of calculating empirical relationships between volumetric compression, porosity and pressure in porous rocks of an arbitrary geological region. Data on Zaluzhany wells were used to calculate the correlation and empirical relationships between reservoir properties and parameters of elastic waves and to distinguish dry and oil-gas saturated rocks. The least square technique made it possible to determine the correlation between the compressibility factor of fluid-saturated rocks and their porosity and pressure. Discrimination between oil and water was based on the density parameter. An algorithm has been suggested to do the corresponding calculations. The theoretical and practical implications of this study are as follows: – developing a numerical analytical predictive model for interpreting acoustic data on thin-layered rocks which is based on the correlations between their dynamic physical (effective wave propagation velocities, amplitude attenuation coefficients and their energy absorption) and reservoir (porosity, fracturing, compressibility) properties; – applying the proposed model and software products in geophysical exploration to interpret the geological and geophysical data on the structure and physical characteristics of sections and the physical properties of gas-bearing basins. In seismic acoustic exploration, the numerical model has to include experimental geological and geophysical data on the peculiarities of rock occurrence in the investigated area, with the physical and mechanical properties of different territories showing considerable variation. Such input data, as well as structural features and scattering properties of rocks (density, bedding, microporosity), ensure a significant increase in the accuracy of the numerical analysis. Preliminary testing was based on the data on the elastic moduli and S-wave velocities for dry and fluid-saturated rocks. Calculations were made of the elastic moduli and P-wave velocities for dry and fluid-saturated rocks of the Western oil and gas region of Ukraine (Zaluzhany-18 and Zaluzhany-19 wells). The aim of this work was to demonstrate the efficiency of the predictive method by examining the reservoir rock properties of the wells and to evaluate their gas saturation using the acoustic logging, geophysical and petrophysical data.
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Shahani, Niaz Muhammad, Barkat Ullah, Kausar Sultan Shah, Fawad Ul Hassan, Rashid Ali, Mohamed Abdelghany Elkotb, Mohamed E. Ghoneim, and Elsayed M. Tag-Eldin. "Predicting Angle of Internal Friction and Cohesion of Rocks Based on Machine Learning Algorithms." Mathematics 10, no. 20 (October 19, 2022): 3875. http://dx.doi.org/10.3390/math10203875.

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The safe and sustainable design of rock slopes, open-pit mines, tunnels, foundations, and underground excavations requires appropriate and reliable estimation of rock strength and deformation characteristics. Cohesion (𝑐) and angle of internal friction (𝜑) are the two key parameters widely used to characterize the shear strength of materials. Thus, the prediction of these parameters is essential to evaluate the deformation and stability of any rock formation. In this study, four advanced machine learning (ML)-based intelligent prediction models, namely Lasso regression (LR), ridge regression (RR), decision tree (DT), and support vector machine (SVM), were developed to predict 𝑐 in (MPa) and 𝜑 in (°), with P-wave velocity in (m/s), density in (gm/cc), UCS in (MPa), and tensile strength in (MPa) as input parameters. The actual dataset having 199 data points with no missing data was allocated identically for each model with 70% for training and 30% for testing purposes. To enhance the performance of the developed models, an iterative 5-fold cross-validation method was used. The coefficient of determination (R2), mean absolute error (MAE), mean square error (MSE), root mean square error (RMSE), and a10-index were used as performance metrics to evaluate the optimal prediction model. The results revealed the SVM to be a more efficient model in predicting 𝑐 (R2 = 0.977) and 𝜑 (R2 = 0.916) than LR (𝑐: R2 = 0.928 and 𝜑: R2 = 0.606), RR (𝑐: R2 = 0.961 and 𝜑: R2 = 0.822), and DT (𝑐: R2 = 0.934 and 𝜑: R2 = 0.607) on the testing data. Furthermore, to check the level of accuracy of the SVM model, a sensitivity analysis was performed on the testing data. The results showed that UCS and tensile strength were the most influential parameters in predicting 𝑐 and 𝜑. The findings of this study contribute to long-term stability and deformation evaluation of rock masses in surface and subsurface rock excavations.
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Inkin, O., N. Dereviahina, P. Volk, and Yu Hriplivec. "Estimation of parameters of gas storage operation in inhomogeneous aquifers." Collection of Research Papers of the National Mining University 69 (June 2022): 23–34. http://dx.doi.org/10.33271/crpnmu/69.023.

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The purpose of the article is development and testing of a mathematical model of gas storage in a layered aquifer with a low permeabilityinterlayer for a case of plane-parallel and axial-symmetric filtration. Methodology. One of the most common models of anisotropy of rocks is a model of a layered seam, which is explained by geological conditions of sedimentation, which lead to stratification of layers with different collecting properties. In the practice of underground gas storage, consideration of such a model is of particular importance.This is due to possible significant difference in advancing a boundary of gas-water contact through the interlayers with different filtration characteristics caused by changes in a position of a gas zone. A comprehensive approach is applied, which includes collection, systematization and analysis of actual data on filtration and physical and mechanical properties of host rocks that affect the formation of natural and technogenic deposits, as well as analytical and numerical methods for solving equations of gas-water contact in different conditions. Results. Gas-hydrodynamic model of underground gas storage in an inhomogeneous aquifer is justified for calculation of its cyclic operation in a three-layer seam considering cross-flows through a low permeability interlayer.The results can be used in evaluation calculations at a design stage of gas storage facilities in aquifers. Scientific novelty. A mathematical model of gas storage in a layered aquifer with a low permeability interlayerfor a case of plane-parallel and axial-symmetric filtration is developed and tested. A new method of linearization of a system of differential equations for determining pressures in a collectingseamis obtained in the article and it is a generalization of previously used methods, with an introduction of "boundary schemes". Practical significance. Calculation results indicate a significant influence of characteristics of a layered porous medium on the advance of gas-water contact along individual layers. The results can be used in the evaluation calculations at a design stage of gas storage facilities in aquifers.
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Thompson, J. Michael T. "Introduction. Progress in Earth science and climate studies." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1885 (September 25, 2008): 4503–8. http://dx.doi.org/10.1098/rsta.2008.0215.

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In this introductory paper, I review the ‘visions of the future’ articles prepared by top young scientists for the second of the two Christmas 2008 Triennial Issues of Phil. Trans. R. Soc. A , devoted respectively to astronomy and Earth science. Topics covered in the Earth science issue include: trace gases in the atmosphere; dynamics of the Antarctic circumpolar current; a study of the boundary between the Earth's rocky mantle and its iron core; and two studies of volcanoes and their plumes. A final section devoted to ecology and climate covers: the mathematical modelling of plant–soil interactions; the effects of the boreal forests on the Earth's climate; the role of the past palaeoclimate in testing and calibrating today's numerical climate models; and the evaluation of these models including the quantification of their uncertainties.
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Doan, Luong T. A., Murat Karakus, Giang D. Nguyen, Scott Smith, Chris Chester, and Robert Hawker. "Estimating the Hydraulic Conductivity of jointed rock mass using Genetic Programming." IOP Conference Series: Earth and Environmental Science 1124, no. 1 (January 1, 2023): 012001. http://dx.doi.org/10.1088/1755-1315/1124/1/012001.

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Abstract Ground engineering through injection of cementitious grouts or polymer resins is an integral part of fractured rock mass stabilisation by improving its maximum load carrying capacity, stiffness, cohesiveness and reduction in permeability. To optimise product delivery and achieve a high penetrability of product into the rock mass, it is imperative to understand the permeability characteristics or hydraulic conductivity of the rock mass. The hydraulic conductivity of the rock mass also dictates the type of polyurethane (PU) or cement-based products to be injected. For this purpose, a Packer test has to be conducted to measure the hydraulic conductivity of a rock formation which is an expensive and time-consuming process. Alternatively, a number of empirical methods that use rock mass classifications and rock joint properties Rock Quality Designation (RQD), Q-system (Q), Geological Strength Index (GSI), Joint Spacing (JS), Joint Aperture (a) proposed by a number of researchers that are capable of predicting hydraulic conductivity (HC). In this research, a predictive model between rock mass properties and HC is proposed using new approach - genetic programming (GP). For this purpose, a database of rock mass parameters including RQD, Q, GSI, JS, Joint Aperture (a), Second Permeability Index (SPI) and Packer test results available in the literature is established. The database is split into randomly selected training and testing sets. To assess the fitting quality, the sum of the absolute difference is used, while maximum depth on trees is set to control the bloat of the model. The performance is assessed with four statistical criteria and three GP models using different input combinations are proposed. These models have been converted into simple mathematical equations to calculate HC based on collected input data. In summary, two out of three models have successfully predicted HC with high correlation to the actual HC (R2 of testing sets ≈ 0.92). Therefore, this study has shown the feasibility of applying GP models into future prediction of HC for the initial phase of rock grouting design.
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Zhou, Desheng, and Andrew K. Wojtanowicz. "Analysis of Leak-off Tests in Shallow Marine Sediments." Journal of Energy Resources Technology 124, no. 4 (November 20, 2002): 231–38. http://dx.doi.org/10.1115/1.1506322.

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Typical analysis of the Leak-off testing (LOT) in wells assumes elastic wellbore and involves identification of diversion points from linear trends of the recorded plots. However, LOTs from wells in the shallow marine sediments (SMS) are inherently nonlinear and their analysis becomes a problem. The paper presents mathematical models of the pressure-volume behavior for two different possible failures around the casing shoe, annular crack (cement-rock parting) and formation fracture. The study submits that these two failure modes would control abnormal LOT patterns. A general pressure-volume model of LOT has been developed including volumetric effects of wellbore expansion, mud loss into the rock, and propagation of an annular crack or plastic fracture. A diagnostic method is proposed to identify LOT-control mechanisms (i.e., formation fracture, annular crack, or mud loss) by analyzing the shut-in section of the LOT’s plot.
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Clifton, R. J., and F. P. Chiang. "Experimental Mechanics." Applied Mechanics Reviews 38, no. 10 (October 1, 1985): 1279–81. http://dx.doi.org/10.1115/1.3143691.

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Mechanical failure of machine parts, structures, and microelectronic components has a strong negative impact on the safety, security, and productivity of our people. Prevention of these failures is a principal focus of solid mechanics, which uses analysis, experiment, and computation to provide the understanding necessary for failure reduction through improved design, fabrication, and inspection. Experimental mechanics plays a critical role in this effort since it provides the data base for the calculations and the means for testing the validity of proposed theoretical models of failure. Current trends in experimental mechanics show increased use of optical methods for monitoring the displacements, velocities, and strains of surfaces. This trend has gained impetus from the attractiveness of noncontact methods for hostile environments and dynamically loaded bodies. Advances in laser technology have enhanced the instrumentation associated with these methods. Another trend is the investigation of material behavior under more complex loading conditions, made possible by the availability of servo-controlled testing machines with computer interfaces. Still another trend is the increased attention given to defects, such as inclusions, cracks, and holes, because of their importance in failure mechanisms. Opportunities for future contributions from experimental mechanics appear to be great and to occur across a broad range of technological problems. A central theme of future research appears to be increased emphasis on measurements at the micron and submicron scale in order to advance the understanding of material response and failure at the micromechanical level. Increased attention will also be given to internal measurements of defects, deformations and residual stresses because of their importance in developing a fundamental understanding of failure. Automated data reduction and control of experiments will greatly increase the information obtained from experiments and its usefulness for the development of mathematical models. Other important research directions include improved methods for measurements of in situ stresses in rocks, improved measurements of displacements and physiological parameters in biological systems, capability for long-term monitoring of the integrity of structures, and improved sensors for feedback control of mechanical systems.
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Dissertations / Theses on the topic "Rocks Testing Mathematical models"

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Lock, Yick-bun, and 駱亦斌. "An examination of failure criteria for some common rocks in Hong Kong." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31213406.

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CHENG, YEOU-YEN. "MULTIPLE-WAVELENGTH PHASE SHIFTING INTERFEROMETRY (OPTICAL-TESTING, ASPHERIC SURFACE)." Diss., The University of Arizona, 1985. http://hdl.handle.net/10150/187928.

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The problems of combining ideas of phase shifting interferometry (PSI) and synthetic-wavelength techniques to extend the phase measurement range of conventional single-wavelength PSI are investigated. This combination of PSI and synthetic-wavelengths gives multiple-wavelength phase-shifting interferometry the advantages of: (1) larger phase measurement range and (2) higher accuracy of phase measurement. Advantages, error sources, and limitations of single-wavelength PSI are discussed. Some practical methods to calibrate the piezoelectric transducer (PZT), used to phase shift the reference beam, are presented with experimental results. Two methods of two-wavelength PSI are used to solve the 2π ambiguity problem of single-wavelength PSI. For the first method, two sets of phase data (with 2π ambiguities) for shorter wavelengths are calculated and stored in the computer which calculates the new phase data for the equivalent-wavelength λ(eq). The "error magnification effect," which reduces the measurement precision of the first method, is then investigated. The second, more accurate method, uses the results of the first method as a reference to correct the 2π ambiguities in the single-wavelength phase data. Experimental results are included to confirm theoretical predictions. The enhancement of two-wavelength PSI is investigated, and requires the phase data of a third wavelength. Experiments are performed to verify the capability of multiple-wavelength PSI. For the wavefront being measured, the difference of the optical-path-difference (OPD) between adjacent pixels is as large as 3.3 waves. After temporal averaging of five sets of data, the repeatability of the measurement is better than 2.5 nm (0.0025%) rms (λ = 632.8 nm). This work concludes with recommendations for future work that should make the MWLPSI a more practical technique for the testing of steep aspheric surfaces.
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Hyun, Yunjung. "Multiscale anaylses of permeability in porous and fractured media." Diss., The University of Arizona, 2002. http://etd.library.arizona.edu/etd/GetFileServlet?file=file:///data1/pdf/etd/azu_e9791_2002_321_sip1_w.pdf&type=application/pdf.

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Seid, Hamid Jemila. "New residuals in multivariate bilinear models : testing hypotheses, diagnosing models and validating model assumptions /." Uppsala : Dept. of Biometry and Engineering, Swedish University of Agricultural Sciences, 2005. http://epsilon.slu.se/200583.pdf.

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Alluri, Chandra M. "Testing calculation engines using input space partitioning and automation." Fairfax, VA : George Mason University, 2008. http://hdl.handle.net/1920/3228.

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Thesis (M.S.)--George Mason University, 2008.
Vita: p. 158. Thesis director: Jeff Offutt. Submitted in partial fulfillment of the requirements for the degree of Master of Science in Software Engineering. Title from PDF t.p. (viewed Aug. 27, 2008). Includes bibliographical references (p. 156-157). Also issued in print.
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Dong, Chengli. "Acidizing of naturally-fractured carbonate formations." Access restricted to users with UT Austin EID Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3031042.

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Banan, Roshan Aerospace Civil &amp Mechanical Engineering Australian Defence Force Academy UNSW. "An engineering approach to modelling ballistic impact on hybrid polymer laminates." Publisher:University of New South Wales - Australian Defence Force Academy. Information Technology & Electrical Engineering, 2009. http://handle.unsw.edu.au/1959.4/44094.

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Hybrid polymer laminates of polycarbonate and PMMA have generated considerable interest among researchers as an alternative to traditional glass armours because of their potential for reduced cost and weight. Generally, the development of ballistic armour is carried out experimentally which is an expensive task in terms of time and cost. Numerical simulation provides a much greater facility to understand the phenomenon of ballistic impact and the effects of various parameters on the response to such impact. In addition it provides an easy means of comparing the impact performance of different materials as well as combination of materials forming hybrid laminates. The aim of this research was to develop a numerical modelling capability to simulate the ballistic response of hybrid polymer laminates, specifically polycarbonate and PMMA, using a commercially available finite element code LS-DYNA. The challenge was to work within the limitations of the material models and the failure algorithms available within LS-DYNA, and still try to reproduce the behaviour observed experimentally by previous researchers, initially on monolithic plates of polycarbonate and PMMA and then on hybrid laminates. The first part of the study focuses on a detailed literature survey on mechanical and dynamic characterisation of polycarbonate and PMMA as well as experimental and numerical studies previously conducted on ballistic behaviour of these materials as well as their combinations. The material properties of the polymers compiled from this literature survey were used as input for the selected LS-DYNA material model. Impact simulations were carried on monolithic and laminated media of polycarbonate and PMMA and where possible these were compared to experimental results. It was observed that the results agreed with the experimental data qualitatively. Quantitatively the results showed some discrepancies which were attributed to the limitations faced in simulating the exact test conditions numerically. Numerical simulations were carried out to study the effects of variations in laminate thickness and plate support diameters as well as to examine the influence of the bond between the layers. Finally the impact response of four different combinations of polycarbonate and PMMA are compared to each other for different laminate thicknesses.
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Li, Lian, and 李煉. "Microscopic study and numerical simulation of the failure process of granite." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31242005.

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Kleinow, Torsten. "Testing continuous time models in financial markets." Doctoral thesis, [S.l. : s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=965412091.

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Carroll, James M. "The psychometrics of a bipolar valence activation model of self-reported affect." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ56520.pdf.

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Books on the topic "Rocks Testing Mathematical models"

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Vidstrand, Patrik. Hydrogeological scale effects in crystalline rocks: Comparison of field data from Äspö HRL with data from predictive upscaling methods. Göteborg, Sweden: Dept. of Geology, Chalmers University of Technology, 1999.

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Jerzy, Cieślik. Plastyczność i uszkodzenie wybranych skał w testach jednoosiowego i trójosiowego ściskania: Plasticity and damage of selected rocks in uniaxial and triaxial compression tests. Kraków: Wydawnictwa AGH, 2013.

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N, Cristescu, and Gioda G, eds. Visco-plastic behaviour of geomaterials. Wien: Springer-Verlag, 1994.

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M, Goris J. Field evaluation of cable bolt supports, Homestake Mine, Lead, SD. Washington, DC: U.S. Dept. of the Interior, Bureau of Mines, 1993.

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International Workshop on Localisation and Bifurcation Theory for Soils and Rocks (4th 1997 Gifu, Japan). Localization and bifurcation theory for soils and rocks: Proceedings of the Fourth International Workshop on Localization and Bifurcation Theory for Soils and Rocks, Gifu, Japan, 28 September-2 October, 1997. Rotterdam: A.A. Balkema, 1998.

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A, Bollen Kenneth, and Long J. Scott, eds. Testing structural equation models. Newbury Park: Sage Publications, 1993.

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Bates, David S. Testing option pricing models. Cambridge, MA: National Bureau of Economic Research, 1995.

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Leamer, Edward E. Testing trade theory. Cambridge, MA: National Bureau of Economic Research, 1992.

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Bagdonavičius, V. Semiparametric models in accelerated life testing. Kingston, Ont., Canada: Queen's University, 1995.

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Mueller, Uli. Testing models of low-frequency variability. Cambridge, Mass: National Bureau of Economic Research, 2006.

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Book chapters on the topic "Rocks Testing Mathematical models"

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Taler, Dawid. "Mathematical Models of Heat Exchangers." In Numerical Modelling and Experimental Testing of Heat Exchangers, 321–37. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91128-1_9.

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Aceto, Luca, Rocco Nicola, and Alessandro Fantechi. "Testing equivalences for event structures." In Mathematical Models for the Semantics of Parallelism, 1–20. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/3-540-18419-8_9.

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Wefelmeyer, Wolfgang. "Testing hypotheses on independent, not identically distributed models." In Mathematical Statistics and Probability Theory, 267–82. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3963-9_20.

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Katti, R. K., K. K. Moza, and Dinesh R. Katti. "Mathematical models for saturated expansive soils with and without CNS." In Environmental Geotechnics and Problematic Soils and Rocks, 495–513. London: CRC Press, 2021. http://dx.doi.org/10.1201/9781003211051-48.

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Bayarri, M. J., James O. Berger, and Gauri S. Datta. "Objective Bayes testing of Poisson versus inflated Poisson models." In Institute of Mathematical Statistics Collections, 105–21. Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2008. http://dx.doi.org/10.1214/074921708000000093.

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Urbain, Jean-Pierre. "Testing for Weak Exogeneity in Error Correction Models." In Lecture Notes in Economics and Mathematical Systems, 83–111. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-95706-2_4.

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Baker, Rose. "Software Reliability Growth Models for Discrete and Incomplete Testing." In Lecture Notes in Economics and Mathematical Systems, 257–71. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59105-1_19.

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Pruess, Karsten. "Multiphase flow in fractured rocks—some lessons learned from mathematical models." In Dynamics of Fluids in Fractured Rock, 225–34. Washington, D. C.: American Geophysical Union, 2000. http://dx.doi.org/10.1029/gm122p0225.

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Folmer, Henk. "Autocorrelation Pre-Testing in Linear Models with AR(1) Errors." In Lecture Notes in Economics and Mathematical Systems, 39–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-61564-1_3.

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Hall, W. J., and Jon A. Wellner. "Efficient testing and estimation in two Lehmann alternatives to symmetry-at-zero models." In Institute of Mathematical Statistics Collections, 197–212. Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2013. http://dx.doi.org/10.1214/12-imscoll914.

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Conference papers on the topic "Rocks Testing Mathematical models"

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Andras, Andrei. "MATHEMATICAL MODELS OF POWERED ROOF SUPPORT INTERACTION WITH SURROUNDING ROCKS." In 17th International Multidisciplinary Scientific GeoConference SGEM2017. Stef92 Technology, 2017. http://dx.doi.org/10.5593/sgem2017/13/s03.067.

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Stork, Milan, Jaroslav Novak, and Pavel Broz. "Cardiac Mathematical Models for Exercise Testing on Treadmill Ergometer." In 2019 International Conference on Applied Electronics (AE). IEEE, 2019. http://dx.doi.org/10.23919/ae.2019.8866998.

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Mitrea, Alexandru I., and Paulina Mitrea. "Deformable models: Software implementation based on mathematical fundamentals." In 2008 IEEE International Conference on Automation, Quality and Testing, Robotics. IEEE, 2008. http://dx.doi.org/10.1109/aqtr.2008.4588948.

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Romero Rojas, Pedro Antonio, Ramos Loraine, Larisa Tagarieva, Serhiy Mehidey, Yevgeniy Solodkiy, Sergii Iareshchenko, and Yulia Ignatochkina. "Advanced Reservoir Characterization Using Novel NMR Technology Secures Complex Carbonate Gas Condensate Pay, A Case Study Onshore Ukraine." In Offshore Technology Conference. OTC, 2022. http://dx.doi.org/10.4043/31710-ms.

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Abstract Formation evaluation in a gas condensate carbonates reservoir with high temperature and pressure is very challenging: low porosity and gas have an effect on reserve estimation and fluid typing identification. A complex of or state-of-the-art petrophysical studies were implemented for the first time in Europe in the Machukhske field in Ukraine, which helped to estimate the reservoir properties, rock quality, permeability and fluid typing of the main challenging productive carbonate reservoir of the Tournasian formation at a qualitatively new level. The 8.5" section was drilled through the Tournasian formation with oil-based mud and a composite logging suite with high pressure and temperature (P, T) ratings was deployed. Gamma Ray, Neutron, Resistivity, Density and Formation Testing tools were run along with latest generation of multifrequency, focused Nuclear Magnetic Resonance (NMR) wireline tool. Longitudinal (T1 ) and transversal relaxation time (T2) distributions were calculated from multifrequency echo trains of raw NMR data to evaluate hydrocarbon porosity and saturations. The evaluation of T2 spectra used blind source separation driven by statistical independent component analysis (BSS-ICA), a machine learning algorithm. These results were then compared against those obtained from traditional two-dimensional NMR (2D-NMR) maps, specifically the T1T2 maps, that rely on the simultaneous inversion for T1 and T2. An adequate data acquisition sequences or logging activations ensured a suitable magnitude of the borehole signal, which enabled tool to apply long polarization times needed to detect volatile fluids. Conventional logs and core data were integrated with NMR results to minimize uncertainties, mathematical artifacts, and different effects. Rock quality indicators based on NMR porosity fractions and acoustic velocities were calculated and revealed some rock heterogeneities or porosity-lithology facies. In challenging borehole condition with high P & T, high quality composite logging suite data was successfully obtained. An advanced reservoir characterization study was performed by integrating the NMR data with conventional logs which also helped to reduce the uncertainty in formation evaluation by clearly identifying pay and shale zones, deeper understanding of the storage and flow capacity of reservoir and the furthermore, providing necessary parameters for optimizing completion design. An innovative study was carried out which helped not only meet objective of the well, but also results became reference for detailing the geological and hydrodynamic models of Machukske gas condensate field. The geological and technological model of the field was updated, and further field development strategies were optimized.
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Pop, Teodora, Ofelia Mosteanu, Paula Raica, R. Badea, and L. Miclea. "Analysis of the dynamic behaviour of malignant tumours using mathematical models and ultrasound parameters ¿ a survey." In 2006 IEEE International Conference on Automation, Quality and Testing, Robotics. IEEE, 2006. http://dx.doi.org/10.1109/aqtr.2006.254675.

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Phoenix, S., and Pappu Murthy. "Pros and Cons of Proof Testing Carbon Composite Overwrapped Pressure Vessels: A Comparison of Two Mathematical Models." In 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-2325.

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Marshall, Rob, and Paul F. Altamore. "Mathematical Model Methodology to Compare Different Occupant Models in Frontal Impact." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/amd-25443.

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Abstract Restraint system and vehicle design rely heavily on the use of Anthropomorphic Test Devices and mathematical models of ATD’s to provide information about human occupant response in impact conditions. Recent advances in ATD’s take years to get through the prototyping and evaluation stages before they can be widely used. The recent advances in ATD development will not benefit the testing of many vehicles for quite some time. The development of mathematical models of new ATD’s that are not yet available for widespread use, as well as mathematical models of humans can provide more information about human occupant responses to engineers. This study develops a method to utilize these mathematical models in combination with a highly detailed vehicle model to gain more understanding of how human occupants will behave in a frontal impact.
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Chemmakh, Abderraouf. "Machine Learning Predictive Models to Estimate the UCS and Tensile Strength of Rocks in Bakken Field." In SPE Annual Technical Conference and Exhibition. SPE, 2021. http://dx.doi.org/10.2118/208623-stu.

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Abstract Uniaxial Compressive Strength (UCS) and Tensile Strength (TS) are among the essential rock parameters required and determined for rock mechanical studies in Petroleum Engineering. However, the determination of such parameters requires some laboratory experiments, which may be time-consuming and costly at the same time. In order to estimate these parameters efficiently and in a short period, some mathematical tools have been used by different researchers. When regression tools proved to give good results only in the limited range of data used, machine learning methods proved to be very accurate in generating models that can cover a wide range of data. In this study, two machine learning models were used to predict the UCS and TS, Support Vector Regression optimized by Genetic Algorithm (GA-SVR) and Artificial Neural Networks (ANNs). The results were discussed for both uniaxial compressive strength and tensile strength in terms of coefficient of determination R2, root mean squared error (RMSE) and mean average error (MAE). First, for the case of UCS, values of 0.99 and 0.99, values of 3.41 and 2.9 and values of 2.43 and 1.9 were obtained for R2, RMSE and MAE for the ANN and GA-SVR, respectively. Second, for the TS, the same analogy was followed, a coefficient R2 of 0.99 and 0.99, RMSE values of 0.41 and 0.45 and MAE values of 0.30 and 0.39 were obtained for ANNs and GA-SVR, respectively. The next step was to assess these models on a different dataset consisting of data obtained from Bakken Field in Williston Basin, North Dakota, United States. The models showed excellent results comparing to the correlations they were compared with, outperforming them in terms of R2, RMSE and MAE, giving the following results for ANN and SVR respectively, R2 of 0.93, 0.92, RMSE of 9.54, 11.22 and MAE of 7.28, 9.24. The resultant conclusion of this work is that the use of machine learning algorithms can generate universal models which reduce the time and effort to estimate some complex parameters such as UCS and Tensile Strength.
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Spirina, Anastasiia, and Evgeniy Cherepanov. "Petroelastic Modeling of Complex Lithology Fields: Case Study." In SPE Symposium: Petrophysics XXI. Core, Well Logging, and Well Testing. SPE, 2021. http://dx.doi.org/10.2118/208423-ms.

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Abstract The present-day growth of petroleum reserves, maintaining and enhancing of oil production is associated with involving of complex fields into production (Uspenskaya, 2014). The complex structure of the study areas of the Urai Region (facies variability, formation replacement, fracturing, crushing and cleavage zones, complicated structure of the pore space) makes conventional forecast of reservoir properties ineffective. Moreover, the pay formations are highly exhausted with high production water cut. Therefore, the search of prospective targets is relevant in the Urai Region. The article shows generalized results of petroelastic modeling of several fields of the Urai Region for solving the following tasks: ○ Lithology, saturation and poroperm properties forecast of reservoir rocks from log and seismic data; ○ Development of 1D mechanical earth models (MEM) of horizontal well sections and their maintenance while drilling horizontal wells. The approach is based on the principles of integrating different-scale geological and geophysical studies. The lithological division of rocks was carried out, the saturation behavior and point-by-point interpretation of the data of geophysical methods of well logging (WL) were identified. 3D component models were built with taking into account the lithological features of the section using core sample studies. Effective models for the environment of sediments of interest were selected and petroelastic modeling was carried out.
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Baker, Lindsey K., Sara V. Stotter, Christopher L. Andronicos, and Christopher G. Daniel. "TESTING MODELS OF MAZATZAL (1650 MA) AND PICURIS AGE (1400 MA) METAMORPHISM IN NEAR–GRANULITE FACIES METAMORPHIC ROCKS OF THE NORTHERN TAOS RANGE, NEW MEXICO." In GSA Annual Meeting in Indianapolis, Indiana, USA - 2018. Geological Society of America, 2018. http://dx.doi.org/10.1130/abs/2018am-320328.

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Reports on the topic "Rocks Testing Mathematical models"

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Hlushak, Oksana M., Svetlana O. Semenyaka, Volodymyr V. Proshkin, Stanislav V. Sapozhnykov, and Oksana S. Lytvyn. The usage of digital technologies in the university training of future bachelors (having been based on the data of mathematical subjects). [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3860.

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This article demonstrates that mathematics in the system of higher education has outgrown the status of the general education subject and should become an integral part of the professional training of future bachelors, including economists, on the basis of intersubject connection with special subjects. Such aspects as the importance of improving the scientific and methodological support of mathematical training of students by means of digital technologies are revealed. It is specified that in order to implement the task of qualified training of students learning econometrics and economic and mathematical modeling, it is necessary to use digital technologies in two directions: for the organization of electronic educational space and in the process of solving applied problems at the junction of the branches of economics and mathematics. The advantages of using e-learning courses in the educational process are presented (such as providing individualization of the educational process in accordance with the needs, characteristics and capabilities of students; improving the quality and efficiency of the educational process; ensuring systematic monitoring of the educational quality). The unified structures of “Econometrics”, “Economic and mathematical modeling” based on the Moodle platform are the following ones. The article presents the results of the pedagogical experiment on the attitude of students to the use of e-learning course (ELC) in the educational process of Borys Grinchenko Kyiv University and Alfred Nobel University (Dnipro city). We found that the following metrics need improvement: availability of time-appropriate mathematical materials; individual approach in training; students’ self-expression and the development of their creativity in the e-learning process. The following opportunities are brought to light the possibilities of digital technologies for the construction and research of econometric models (based on the problem of dependence of the level of the Ukrainian population employment). Various stages of building and testing of the econometric model are characterized: identification of variables, specification of the model, parameterization and verification of the statistical significance of the obtained results.
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