Finite-difference modelling of two-dimensional elastic wave propagation in cracked media

Details Finite-difference modelling of two-dimensional elastic wave propagation in cracked media Finite-difference modelling of two-dimensional elastic wave propagation in cracked media

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002geoji.149..169v&link_type=abstract

Geophysical Journal International, Volume 149, Issue 1, pp. 169-178.

Astronomy and Astrophysics

Astronomy

: Cracks, Effective Medium Theory, Finite-Difference Methods, Wave Propagation

Scientific paper

We present a finite-difference modelling technique for 2-D elastic wave propagation in a medium containing a large number of small cracks. The cracks are characterized by an explicit boundary condition. The embedding medium can be heterogeneous. The boundaries of the cracks are not represented in the finite-difference mesh, but the cracks are incorporated as distributed point sources. This enables one to use grid cells that are considerably larger than the crack sizes. We compare our method with an accurate integral representation of the solution and conclude that the finite-difference technique is accurate and computationally fast.

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