Numerical computation of wave propagation in fractured media by applying the grid-characteristic method on hexahedral meshes

被引：11

作者：

Golubev, V. I. ^{[1
]}

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

Khokhlov, N. I. ^{[1
]}

Shul'ts, K. I. ^{[1
]}

机构：

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

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2015年 / 55卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

hyperbolic equations; grid-characteristic numerical method; mathematical simulation; fractured media; EQUATIONS;

D O I：

10.1134/S0965542515030082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Wave propagation in fractured rock in the course of seismic exploration is studied. The grid-characteristic method on hexahedral meshes is extended to the case of an elastic medium with empty and fluid-saturated cracks. The crack effect on wave propagation in the medium is taken into account by introducing cracks at the stage of grid generation with boundary conditions and conditions on the crack edges specified in explicit form. This method is used to obtain wave patterns near an extended inclined crack. The problem of numerically computing the seismic effect produced by a cluster of vertical and subvertical cracks is given in a complete three-dimensional formulation. The structure of the resulting pattern and the influence exerted by the crack-filling substance on the signal recorded on the surface are examined.

引用

页码：509 / 518

页数：10

共 18 条

[1] Numerical computation of wave propagation in fractured media by applying the grid-characteristic method on hexahedral meshes
V. I. Golubev
I. B. Petrov
N. I. Khokhlov
K. I. Shul’ts
Computational Mathematics and Mathematical Physics, 2015, 55 : 509 - 518
[2] Seismic Imaging of Fractured Elastic Media on the Basis of the Grid-Characteristic Method
Golubev, V. I.
Voinov, O. Ya.
Petrov, I. B.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (08) : 1309 - 1315
[3] Seismic Imaging of Fractured Elastic Media on the Basis of the Grid-Characteristic Method
V. I. Golubev
O. Ya. Voinov
I. B. Petrov
Computational Mathematics and Mathematical Physics, 2018, 58 : 1309 - 1315
[4] SIMULATION OF DYNAMIC PROCESSES IN THREE-DIMENSIONAL LAYERED FRACTURED MEDIA WITH THE USE OF THE GRID-CHARACTERISTIC NUMERICAL METHOD
Golubev, V. I.
Gilyazutdinov, R. I.
Petrov, I. B.
Khokhlov, N. I.
Vasyukov, A. V.
JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, 2017, 58 (03) : 539 - 545
[5] Simulation of dynamic processes in three-dimensional layered fractured media with the use of the grid-characteristic numerical method
V. I. Golubev
R. I. Gilyazutdinov
I. B. Petrov
N. I. Khokhlov
A. V. Vasyukov
Journal of Applied Mechanics and Technical Physics, 2017, 58 : 539 - 545
[6] Mathematical Modeling of Spatial Wave Responses by Grid-characteristic Method on Irregular Computational Meshes
I. B. Petrov
M. V. Muratov
Lobachevskii Journal of Mathematics, 2019, 40 : 499 - 506
[7] Mathematical Modeling of Spatial Wave Responses by Grid-characteristic Method on Irregular Computational Meshes
Petrov, I. B.
Muratov, M., V
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (04) : 499 - 506
[8] 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
Computational Mathematics and Mathematical Physics, 2015, 55 : 1733 - 1742
[9] Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers
Biryukov, V. A.
Muratov, M. V.
Petrov, I. B.
Sannikov, A. V.
Favorskaya, A. V.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2015, 55 (10) : 1733 - 1742
[10] Numerical simulation of seismic activity by the grid-characteristic method
Golubev, V. I.
Petrov, I. B.
Khokhlov, N. I.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2013, 53 (10) : 1523 - 1533

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