Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers

被引：1

作者：

Biryukov, V. A. ^{[1
]}

Muratov, M. V. ^{[1
]}

Petrov, I. B. ^{[1
]}

Sannikov, A. V. ^{[1
]}

Favorskaya, A. V. ^{[1
]}

机构：

[1] State Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Oblast, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2015年 / 55卷 / 10期

基金：

俄罗斯科学基金会;

关键词：

grid-characteristic method; unstructured tetrahedral meshes; seismic exploration; fractured media; seismic waves; numerical simulation; high-performance computer systems; parallel algorithms;

D O I：

10.1134/S0965542515100073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Seismic responses from fractured geological layers are mathematically simulated by applying the grid-characteristic method on unstructured tetrahedral meshes with the use of high-performance computer systems. The method is intended for computing complicated spatial dynamical processes in complex heterogeneous media and is characterized by exact formulation of contact conditions. As a result, it can be applied to the simulation of seismic exploration problems, including in regions with a large number of inhomogeneities, examples of which are fractured structures. The use of unstructured tetrahedral meshes makes it possible to specify geological cracks of various shapes and spatial orientations. As a result, problems are solved in a formulation maximally close to an actual situation. A cluster of computers is used to improve the accuracy of the computation by optimizing its duration.

引用

页码：1733 / 1742

页数：10

共 23 条

[1] Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers
V. A. Biryukov
M. V. Muratov
I. B. Petrov
A. V. Sannikov
A. V. Favorskaya
[J]. Computational Mathematics and Mathematical Physics, 2015, 55 : 1733 - 1742
[2] Application of the Grid-Characteristic Method to the Solution of Direct Problems in the Seismic Exploration of Fractured Formations (Review)
Petrov I.B.
Muratov M.V.
[J]. Mathematical Models and Computer Simulations, 2019, 11 (6) : 924 - 939
[3] Grid-characteristic method on unstructured tetrahedral meshes
Muratov, M. V.
Petrov, I. B.
Sannikov, I. V.
Favorskaya, A. V.
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2014, 54 (05) : 837 - 847
[4] Grid-characteristic method on unstructured tetrahedral meshes
M. V. Muratov
I. B. Petrov
I. V. Sannikov
A. V. Favorskaya
[J]. Computational Mathematics and Mathematical Physics, 2014, 54 : 837 - 847
[5] Grid-Characteristic Method on Tetrahedral Unstructured Meshes with Large Topological Inhomogeneities
Vasyukov, A. V.
Petrov, I. B.
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (08) : 1259 - 1269
[6] Grid-Characteristic Method on Tetrahedral Unstructured Meshes with Large Topological Inhomogeneities
A. V. Vasyukov
I. B. Petrov
[J]. Computational Mathematics and Mathematical Physics, 2018, 58 : 1259 - 1269
[7] Grid-characteristic method on unstructured tetrahedral grids
Petrov, I. B.
Favorskaya, A. V.
Muratov, M. V.
Biryukov, V. A.
Sannikov, A. V.
[J]. DOKLADY MATHEMATICS, 2014, 90 (03) : 781 - 783
[8] Grid-characteristic method on unstructured tetrahedral grids
I. B. Petrov
A. V. Favorskaya
M. V. Muratov
V. A. Biryukov
A. V. Sannikov
[J]. Doklady Mathematics, 2014, 90 : 781 - 783
[9] Application of grid-characteristic method to some seismic exploration problems in the Arctic
Petrov, D., I
[J]. COMPUTER SIMULATIONS IN PHYSICS AND BEYOND (CSP2017), 2018, 955
[10] Numerical solution of seismic exploration problems in the Arctic region by applying the grid-characteristic method
Petrov, D. I.
Petrov, I. B.
Favorskaya, A. V.
Khokhlov, N. I.
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2016, 56 (06) : 1128 - 1141

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