Abstract:
The goal of this paper is the numerical solution of direct problems concerning hydrocarbon seismic exploration on the Arctic shelf. The task is addressed by solving a complete system of linear elasticity equations and a system of acoustic field equations. Both systems are solved by applying the grid-characteristic method, which takes into account all wave processes in a detailed and physically correct manner and produces a solution near the boundaries and interfaces of the integration domain, including the interface between the acoustic and linear elastic media involved. The seismograms and wave patterns obtained by numerically solving these systems are compared. The effect of ice structures on the resulting wave patterns is examined.
Key words:
grid-characteristic method, numerical simulation, seismic exploration on Arctic shelf, icebergs, acoustic media, linear elastic media.
Citation:
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”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016), 1149–1163; Comput. Math. Math. Phys., 56:6 (2016), 1128–1141
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\paper Numerical solution of seismic exploration problems in the Arctic region by applying the grid-characteristic method
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2016
\vol 56
\issue 6
\pages 1149--1163
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\crossref{https://doi.org/10.7868/S004446691606020X}
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\jour Comput. Math. Math. Phys.
\yr 2016
\vol 56
\issue 6
\pages 1128--1141
\crossref{https://doi.org/10.1134/S0965542516060208}
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Linking options:
https://www.mathnet.ru/eng/zvmmf10416
https://www.mathnet.ru/eng/zvmmf/v56/i6/p1149
This publication is cited in the following 7 articles:
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. B. Petrov, “Grid-characteristic methods. 55 years of developing and solving complex dynamic problems”, CMIT, 6:1 (2023), 6
Margarita N. Favorskaya, Ilia S. Nikitin, Natalia S. Severina, Smart Innovation, Systems and Technologies, 274, Advances in Theory and Practice of Computational Mechanics, 2022, 1
I. B. Petrov, “Mathematical modeling of natural and anthropogenic processes in the arctic zone”, Lobachevskii J. Math., 41:4, SI (2020), 552–560
A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, “Raznostnaya skhema dlya resheniya zadach gidrodinamiki pri bolshikh setochnykh chislakh Pekle”, Kompyuternye issledovaniya i modelirovanie, 11:5 (2019), 833–848
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
I. B. Petrov, “Vychislitelnye problemy modelirovaniya prirodnykh i industrialnykh protsessov v Arkticheskoi zone Rossiiskoi Federatsii”, Chebyshevskii sb., 18:3 (2017), 428–443
Citation in format AMSBIB
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