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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2013 Volume 25, Number 3, Pages 89–104 (Mi mm3344)

This article is cited in 16 papers

Simulation of wave responses from subvertical macrofracture systems using grid-characteristic method

M. V. Muratov, I. B. Petrov

Moscow Institute of Physics and Technologies (State University)

Abstract: 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.

UDC: 519.63

Received: 23.04.2012


 English version:
Mathematical Models and Computer Simulations, 2013, 5:5, 479–491

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