Abstract:
The aim of this work is the numerical modeling of some problems of seismology in three dimensions on high-performance computing systems. As a method of modeling uses grid-characteristic method. This method allows to set up accurate statement of contact conditions and is suitable for the most physically correct solution of the problems of seismology and seismic prospecting in complex heterogeneous mediums. We use the grid-characteristic schemes up to 4-th order inclusive. Development program solving enviroment parallelized using MPI technology for distributing memory clusters. The results of modeling of surface seismic Love and Rayleigh waves, as well as the passage of seismic waves from an earthquake hypocenter initiated by earthquake to the earth's surface through a multilayer geological formations.
Keywords:
computer simulation, systems of hyperbolic partial differential equations, HPC, MPI, sufrace seismic waves.
Citation:
I. B. Petrov, N. I. Khokhlov, “Modeling of 3D seismic problems using high-performance computing”, Mat. Model., 26:1 (2014), 83–95; Math. Models Comput. Simul., 6:4 (2014), 342–350
This publication is cited in the following 15 articles:
Evgeniya K. Guseva, Vasily I. Golubev, Viktor P. Epifanov, Igor B. Petrov, Communications in Computer and Information Science, 1914, Mathematical Modeling and Supercomputer Technologies, 2024, 15
E. K. Guseva, V. I. Golubev, I. B. Petrov, “Investigation of Wave Phenomena During the Seismic Survey in the Permafrost Areas Using Two Approaches to Numerical Modeling”, Lobachevskii J Math, 45:1 (2024), 231
E. K. Guseva, V. I. Golubev, I. B. Petrov, “Investigation of Wave Phenomena in the Offshore Areas of the Arctic Region in the Process of the Seismic Survey”, Lobachevskii J Math, 45:1 (2024), 223
I. A. Mitskovets, N. I. Khokhlov, “Simulation of propagation of dynamic perturbations in porous media by the grid-characteristic method with explicit description of heterogeneities”, Comput. Math. Math. Phys., 63:10 (2023), 1904–1917
I. A. Mitkovets, N. I. Khokhlov, “Grid-characteristic method using superimposed grids in the problem of seismic exploration of fractured geological media”, CMIT, 7:3 (2023), 28
Evgeniya K. Guseva, Katerina A. Beklemysheva, Vasily I. Golubev, Viktor P. Epifanov, Igor B. Petrov, Communications in Computer and Information Science, 1750, Mathematical Modeling and Supercomputer Technologies, 2022, 176
I. B. Petrov, “Mathematical modeling of natural and anthropogenic processes in the arctic zone”, Lobachevskii J. Math., 41:4, SI (2020), 552–560
K. A. Beklemysheva, A. O. Kazakov, I. B. Petrov, “Numerical modeling of ultrasound phased array for non-destructive testing of composites”, Lobachevskii J. Math., 40:4, SI (2019), 415–424
I. B. Petrov, “Problems of simulation of natural and anthropogenous processes in the Arctic zone of the Russian Federation”, Math. Models Comput. Simul., 11:2 (2019), 226–246
K. A. Beklemysheva, A. V. Vasyukov, A. O. Kazakov, I. B. Petrov, “Grid-characteristic numerical method for low-velocity impact testing of fiber-metal laminates”, Lobachevskii J. Math., 39:7 (2018), 874–883
K. A. Beklemysheva, I. B. Petrov, “Numerical modeling of low-velocity impact on hybrid composite”, Math. Models Comput. Simul., 11:3 (2019), 469–478
P. V. Stognii, D. I. Petrov, N. I. Khokhlov, I. B. Petrov, “Simulation of seismic processes in geological exploration of Arctic shelf”, Russ. J. Numer. Anal. Math. Model, 32:6 (2017), 381–392
A. V. Astanin, A. D. Dashkevich, I. B. Petrov, M. N. Petrov, S. V. Utyuzhnikov, N. I. Khokhlov, “Modeling the influence of the Chelyabinsk meteorite's bow shock wave on the Earth surface”, Math. Models Comput. Simul., 9:2 (2017), 133–141
Dyukina N.S., Baranova M.S., “Influence of Earthquake Hypocenter Location on Soil-Structure Dynamic Behavior”, Mater. Phys. Mech., 28:1-2 (2016), 21–25
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
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