FINITE-DIFFERENCE MODELING IN MEDIA WITH MANY SMALL-SCALE CRACKS

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Abstract

We discuss a finite-difference modeling technique for scalar, two-dimensional wave propagation in a medium containing a large number of small-scale cracks. 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 the use of grid cells that are considerably larger than the crack sizes. We compare our method to an accurate integral-equation solution for the case of a homogeneous embedding and conclude that the finite-difference technique is accurate and computationally fast.

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Journal

Title: Journal of Computational Acoustics

Abbreviated Title: J. Comp. Acous.

Publisher: World Scientific Pub Co Pte Lt

ISSN (Print): 0218-396X

ISSN (Electronic): 1793-6489

Publication date Created: November 21 2011

Publication date Created: September 2001

Publication date (Electronic): November 21 2011

Publication date (Print): September 2001

Volume: 09

Issue: 03

Pages: 815-831

Affiliations

[1 ]Department of Applied Mathematics, Centre for Technical Geoscience, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands

[2 ]Shell International Exploration and Production BV, Postbus 60, 2280AB Rijswijk, The Netherlands

Article

DOI: 10.1142/S0218396X01001030

SO-VID: fa668012-d6c1-4f2f-8752-b7cb856f1ed2

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