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JOURNALS // Mathematical notes of NEFU // Archive

Yakutian Mathematical Journal, 2015, Volume 22, Issue 3, Pages 84–98 (Mi svfu73)

Mathematical modeling

3D-modeling of seismic wave fields in a medium specific to volcanic structures

B. M. Glinskii, V. N. Martynov, A. F. Sapetina

Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia

Abstract: The need for prediction of catastrophic events that may be caused by the impending outbreak of volcanic activity, is an actual problem. It is necessary for solve this problem to conduct comprehensive and objective investigation of the processes occurring on the surface and inside the volcanic structure, including mathematical modeling to create a system of vibroseis monitoring. 2D and 3D-algorithms are developed and software for simulation of elastic wave propagation in a complicated medium (2D model is separation of original 3D-model using various angles and planes) is created. Explicit finite-difference schemes for the shifted grids and CFS-PML method of absorbing boundaries are used. Proposed numerical method and its parallel realization efficiently uses architecture of modern supercomputer equipped with graphical accelerator. Serial of 3D-estimation is carried out for the structure researching of wave field due to the geometry of the internal boundaries and refinement of its kinematic and dynamic characteristics in order to create the system of vibroseis monitoring of stratovolcano Elbrus.

Keywords: monitoring, 3D-simulation, elastic waves, finite difference schemes, hybrid cluster, GPU.

UDC: 519.688

Received: 20.08.2015



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