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Seismic effects of viscous Biot‐coupling: Finite difference simulations on micro‐scale
Author(s) -
Saenger E. H.,
Shapiro S. A.,
Keehm Y.
Publication year - 2005
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2005gl023222
Subject(s) - biot number , mechanics , poromechanics , finite difference , newtonian fluid , coupling (piping) , displacement (psychology) , physics , viscous liquid , porous medium , finite difference method , wave propagation , fluid dynamics , geology , classical mechanics , porosity , mathematical analysis , geotechnical engineering , materials science , optics , mathematics , thermodynamics , psychology , metallurgy , psychotherapist
This paper is concerned with numerical considerations of viscous fluid effects on wave propagation in porous media. We apply a displacement‐stress rotated staggered finite‐difference (FD) grid technique to solve the elastodynamic wave equation. An accurate approximation of a Newtonian fluid is implemented in this technique by using a generalized Maxwell body. With this approach we consider the velocity predictions of the Biot theory for elastic waves in different digital rock samples. To distinguish between the low and the high frequency range we estimate the effective permeabilities by a flow simulation. Our numerical results indicate that the viscous Biot‐coupling is visible in the numerical experiments. Moreover, the influences of other solid‐fluid interactions (e.g., Squirt flow) are also discussed.