Abstract:
A class of problems arising in seismic exploration are investigated, namely, seismic signal propagation in multilayered geological rock and near-surface disturbance propagation in massive rock with heterogeneities, such as empty or filled fractures and cavities. Numerical solutions are obtained for wave propagation in such highly heterogeneous media, including those taking into account the plastic properties of the rock, which can be manifested near a seismic gap or a wellbore. All types of explosion-generated elastic and elastoplastic waves and waves reflected from fractures and the boundaries of the integration domain are analyzed. The identification of waves in seismograms recorded with near-surface receivers is addressed. The grid-characteristic method is used on triangular, parallelepipedal, and tetrahedral meshes with boundary conditions set on the rock-fracture interface and on free surfaces in explicit form. The numerical method proposed is suitable for the study of the interaction between seismic waves and heterogeneous inclusions, since it ensures the most correct design of computational algorithms on the boundaries of the integration domain and at media interfaces. A parallel software code implemented with the help of OpenMP and MPI was used to execute computations on parallelepipedal and tetrahedral grids.
Citation:
I. E. Kvasov, I. B. Petrov, “High-performance computer simulation of wave processes in geological media in seismic exploration”, Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012), 330–341; Comput. Math. Math. Phys., 52:2 (2012), 302–313
This publication is cited in the following 25 articles:
A. V. Favorskaya, N. I. Khokhlov, V. I. Golubev, A. V. Shevchenko, “Boundary Conforming Chimera Meshes to Account for Surface Topography and Curved Interfaces in Geological Media”, Lobachevskii J Math, 45:1 (2024), 191
Wei W., Li L., Shi W.-f., Liu J.-p., “Ultrasonic Imaging Recognition of Coal-Rock Interface Based on the Improved Variational Mode Decomposition”, Measurement, 170 (2021), 108728
Leviant V. Marmalevsky N. Kvasov I. Stognii P. Petrov I., “Numerical Modeling of Seismic Responses From Fractured Reservoirs in 4D Monitoring - Part 1: Seismic Responses From Fractured Reservoirs in Carbonate and Shale Formations”, Geophysics, 86:6 (2021), M211–M232
Vladimir Leviant, Naum Marmalevsky, Igor Kvasov, Polina Stognii, Igor Petrov, “Numerical modeling of seismic responses from fractured reservoirs in 4D monitoring — Part 1: Seismic responses from fractured reservoirs in carbonate and shale formations”, GEOPHYSICS, 86:6 (2021), M211
Valentin G. Bazhenov, Nadezhda S. Dyukina, Advanced Structured Materials, 141, Multiscale Solid Mechanics, 2021, 37
Bazhenov V.G., Dyukina N.S., “Numerical Modeling of Seismic Vibrations of Large Buried Structures on Sandy Soil Foundations”, AIP Conference Proceedings, 2216, eds. Matveenko V., Trusov P., Yants A., Faerman V., Amer Inst Physics, 2020, 030003
Bazhenov V.G., Dyukina N.S., “Numerical Study of Seismic Vibrations of Closely Located Buried Large Structures”, Lobachevskii J. Math., 40:11, SI (2019), 1915–1921
Favorskaya V A. Zhdanov M.S. Khokhlov I N. Petrov I.B., “Modelling the Wave Phenomena in Acoustic and Elastic Media With Sharp Variations of Physical Properties Using the Grid-Characteristic Method”, Geophys. Prospect., 66:8 (2018), 1485–1502
Beklemysheva K.A., Vasyukov A.V., Kazakov A.O., Ermakov A.S., “Numerical Modelling of Composite Delamination and Non-Destructive Testing”, Innovations in Wave Processes Modelling and Decision Making: Grid-Characteristic Method and Applications, Smart Innovation Systems and Technologies, 90, eds. Favorskaya A., Petrov I., Springer-Verlag Berlin, 2018, 161–185
A. Favorskaya, I. Petrov, V. Golubev, N. Khokhlov, “Numerical simulation of earthquakes impact on facilities by grid characteristic method”, Knowledge-Based and Intelligent Information & Engineering Systems, Procedia Computer Science, 112, eds. C. Zanni-Merk, C. Frydman, C. Toro, Y. Hicks, R. Howlett, L. Jain, Elsevier Science BV, 2017, 1206–1215
V. I. Golubev, R. I. Gilyazutdinov, I. B. Petrov, N. I. Khokhlov, A. V. Vasyukov, “Simulation of dynamic processes in three-dimensional layered fractured media with the use of the grid-characteristic numerical method”, J. Appl. Mech. Tech. Phys., 58:3 (2017), 539–545
A. V. Favorskaya, I. B. Petrov, “The study of increased order grid-characteristic methods on unstructured grids”, Num. Anal. Appl., 9:2 (2016), 171–178
D. I. Petrov, I. B. Petrov, A. V. Favorskaya, N. I. Khokhlov, “Numerical solution of seismic exploration problems in the Arctic region by applying the grid-characteristic method”, Comput. Math. Math. Phys., 56:6 (2016), 1128–1141
I. E. Kvasov, V. B. Leviant, I. B. Petrov, “Numerical study of wave propagation in porous media with the use of the grid-characteristic method”, Comput. Math. Math. Phys., 56:9 (2016), 1620–1630
D. A. Presnov, A. L. Sobisevich, A. S. Shurup, “Model of the geoacoustic tomography based on surface-type waves”, Phys. Wave Phenom., 24:3 (2016), 249–254
A. Favorskaya, I. Petrov, N. Khokhlov, “Numerical modeling of wave processes during shelf seismic exploration”, Knowledge-Based and Intelligent Information & Engineering Systems: Proceedings of the 20Th International Conference Kes-2016, Procedia Computer Science, 96, ed. R. Howlett, L. Jain, B. Gabrys, C. Toro, C. Lim, Elsevier Science BV, 2016, 920–929
I. Petrov, A. Vasyukov, K. Beklemysheva, A. Ermakov, A. Favorskaya, “Numerical modeling of non-destructive testing of composites”, Knowledge-Based and Intelligent Information & Engineering Systems: Proceedings of the 20Th International Conference Kes-2016, Procedia Computer Science, 96, eds. R. Howlett, L. Jain, B. Gabrys, C. Toro, C. Lim, Elsevier Science BV, 2016, 930–938
I. Petrov, “Computational problems in arctic research”, International Conference on Computer Simulation in Physics and Beyond 2015, Journal of Physics Conference Series, 681, IOP Publishing Ltd, 2016, 012026
V. A. Biryukov, V. A. Miryaha, I. B. Petrov, N. I. Khokhlov, “Simulation of elastic wave propagation in geological media: Intercomparison of three numerical methods”, Comput. Math. Math. Phys., 56:6 (2016), 1086–1095
V. A. Miryaha, A. V. Sannikov, I. B. Petrov, “Discontinuous Galerkin method for numerical simulation of dynamic processes in solids”, Math. Models Comput. Simul., 7:5 (2015), 446–455
Citation in format AMSBIB
Contact us: