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Physics > Geophysics

arXiv:0711.4942 (physics)
[Submitted on 30 Nov 2007 (v1), last revised 29 Apr 2008 (this version, v2)]

Title:Numerical modeling of 1-D transient poroelastic waves in the low-frequency range

Authors:Guillaume Chiavassa (MSNMGP), Bruno Lombard (LMA), Joël Piraux (LMA)
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Abstract: Propagation of transient mechanical waves in porous media is numerically investigated in 1D. The framework is the linear Biot's model with frequency-independant coefficients. The coexistence of a propagating fast wave and a diffusive slow wave makes numerical modeling tricky. A method combining three numerical tools is proposed: a fourth-order ADER scheme with time-splitting to deal with the time-marching, a space-time mesh refinement to account for the small-scale evolution of the slow wave, and an interface method to enforce the jump conditions at interfaces. Comparisons with analytical solutions confirm the validity of this approach.
Comments: submitted to the Journal of Computational and Applied Mathematics (2008)
Subjects: Geophysics (physics.geo-ph); Numerical Analysis (math.NA)
Report number: OR 15
Cite as: arXiv:0711.4942 [physics.geo-ph]
  (or arXiv:0711.4942v2 [physics.geo-ph] for this version)
  https://doi.org/10.48550/arXiv.0711.4942
Journal reference: Journal of Computational and Applied Mathematics 234 (2010) 1757-1765
Related DOI: https://doi.org/10.1016/j.cam.2009.08.025

Submission history

From: Bruno Lombard [view email] [via CCSD proxy]
[v1] Fri, 30 Nov 2007 14:36:04 UTC (58 KB)
[v2] Tue, 29 Apr 2008 11:27:07 UTC (124 KB)
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