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Acoustic Logging Modeling By Refined Biot'S Equations

Author

Listed:
  • BORIS D. PLYUSHCHENKOV

    (Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya Sq. 4., Moscow, 125047, Russia)

  • VICTOR I. TURCHANINOV

    (Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya Sq. 4., Moscow, 125047, Russia)

Abstract

An explicit uniform completely conservative finite difference scheme for the refined Biot's equations is proposed. This system is modified according to the modern theory of dynamic permeability and tortuosity in a fluid-saturated elastic porous media. The approximate local boundary transparency conditions are constructed. The acoustic logging device is simulated by the choice of appropriate boundary conditions on its external surface. This scheme and these conditions are satisfactory for exploring borehole acoustic problems in permeable formations in a real axial-symmetrical situation. The developed approach can be adapted for a nonsymmetric case also.

Suggested Citation

  • Boris D. Plyushchenkov & Victor I. Turchaninov, 2000. "Acoustic Logging Modeling By Refined Biot'S Equations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 365-396.
    • Handle: RePEc:wsi:ijmpcx:v:11:y:2000:i:02:n:s0129183100000341
    DOI: 10.1142/S0129183100000341
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