Институт вычислительной математики
и математической геофизики

The International Conference on Computational Mathematics


Numerical solution of differential and integral equations

Modelling propagation of elastic waves in cracked medium

Alekseev J. A., Martynov V. N. Mikhailenko B.G.

ICMaMG (Novosibirsk)

The algorithm for the solution of a problem of numerical modeling propagation of elastic waves in vertically inhomogeneous anisotropy medium of an any kind of symmetry, including medium which anisotropy is caused by presence at the medium of mainly oriented cracks is offered. The algorithm is based on integration finite integral transformations on a spatial variable with finite difference method. The finite difference scheme of the fourth order of approximation on space and the second order of approximation on time is used. For calculation of effective anisotropy modules in cracked medium the method of volumetric averaging is used. Efficiency of the given algorithm is shown at calculations on multiprocessing computer complexes. Results of numerical experiments for various models of anisotropy medium are given.

Note. Abstracts are published in author's edition

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