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

In: High Performance Computing in Science and Engineering’ 05

Author

Listed:
  • Erik H. Saenger

    (Freie Universität Berlin, Fachrichtung Geophysik)

  • Youngseuk Keehm

    (Stanford University, Stanford Rock Physics Lab.)

  • Serge A. Shapiro

    (Freie Universität Berlin, Fachrichtung Geophysik)

Abstract

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.

Suggested Citation

  • Erik H. Saenger & Youngseuk Keehm & Serge A. Shapiro, 2006. "Considerations of the Biot Velocity Relations: Viscous Finite-difference Calculations in Combination with Flow Simulations," Springer Books, in: Wolfgang E. Nagel & Michael Resch & Willi Jäger (ed.), High Performance Computing in Science and Engineering’ 05, pages 279-288, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-29064-3_22
    DOI: 10.1007/3-540-29064-8_22
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