ACOUSTIC LOGGING MODELING BY REFINED BIOT'S EQUATIONS

Boris D. Plyushchenkov () and Victor I. Turchaninov ()
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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

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 02, 365-396

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.

Keywords: Biot; Acoustic Logging Modeling; Transparency Conditions (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100000341

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