Geodesic
Simulation of wave responses from subvertical macrofracture systems using grid-characteristic method
Matematičeskoe modelirovanie, Tome 25 (2013) no. 3, pp. 89-104

Voir la notice de l'article provenant de la source Math-Net.Ru

The aim of this paper is formation and propagation of scattered waves analysis. These waves form the response of fracture patterns on seismograms. The initial pulse is a plane wavefront spreading into the medium. The periodic structure of scattered wave response from system (claster) of subvertical macrofractures is studying in this paper. Basing on numeric simulation the ways of this fracture patterns geometric characteristics estimation are concluded. The grid-characteristic method with triangular computational mesh is used in the paper. Boundary conditions on surfaces of fractures and on integration domain boundaries take into account the characteristic properties of the determining hyperbolic equations system. This numeric method lets make the numeric algorithms on the integration domain boundaries and the boundaries between different media the most correctly, take into account the physics of the problem. For this reason this method is the most appropriate for numeric solution of dynamic problems with pronounced wave character in heterogeneous media, in particular for analyzing problem of seismic waves interaction with fracture patterns.
Keywords: numerical simulation, seismic exploration, fracture patterns, hyperbolic equation systems, grid-characteristic method, non-structured triangular meshes. 
@article{MM_2013_25_3_a7,
     author = {M. V. Muratov and I. B. Petrov},
     title = {Simulation of wave responses from subvertical macrofracture systems using grid-characteristic method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {89--104},
     publisher = {mathdoc},
     volume = {25},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_3_a7/}
}
TY  - JOUR
AU  - M. V. Muratov
AU  - I. B. Petrov
TI  - Simulation of wave responses from subvertical macrofracture systems using grid-characteristic method
JO  - Matematičeskoe modelirovanie
PY  - 2013
SP  - 89
EP  - 104
VL  - 25
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2013_25_3_a7/
LA  - ru
ID  - MM_2013_25_3_a7
ER  - 
%0 Journal Article
%A M. V. Muratov
%A I. B. Petrov
%T Simulation of wave responses from subvertical macrofracture systems using grid-characteristic method
%J Matematičeskoe modelirovanie
%D 2013
%P 89-104
%V 25
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2013_25_3_a7/
%G ru
%F MM_2013_25_3_a7
M. V. Muratov; I. B. Petrov. Simulation of wave responses from subvertical macrofracture systems using grid-characteristic method. Matematičeskoe modelirovanie, Tome 25 (2013) no. 3, pp. 89-104. http://geodesic.mathdoc.fr/item/MM_2013_25_3_a7/