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Considerations of the Biot Velocity Relations: Viscous Finite-difference Calculations in Combination with Flow Simulations

  • Erik H. Saenger
  • Youngseuk Keehm
  • Serge A. Shapiro
Conference paper

Summary

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.

Keywords

Porous Medium Rock Model High Frequency Limit Biot Theory Numerical Consideration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Erik H. Saenger
    • 1
  • Youngseuk Keehm
    • 2
  • Serge A. Shapiro
    • 1
  1. 1.Fachrichtung GeophysikFreie Universität BerlinBerlinGermany
  2. 2.Stanford Rock Physics Lab.Stanford UniversityUSA

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