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Diffuse-Interface Simulation of Wave Fields in Porous Media

  • GEOPHYSICS
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Abstract

A diffuse-interface method for simulating wave fields in saturated elastic porous media is addressed. Wave processes are described by a hyperbolic system of first-order differential equations derived from the theory of thermodynamically consistent systems of conservation laws of continuum mechanics. This unified system of governing equations provides a universal way for the simulation of wave fields in rock samples with sharp interfaces between layers with different elastic/poroelastic petrophysical properties. A good qualitative agreement of numerical calculations with the classical theory of elasticity and Biot’s model is shown.

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Funding

The numerical experiment was supported by the Russian Foundation for Basic Research (project no. 19-01-00347 A), and the development of the theoretical model was supported by the Russian Science Foundation (project no. 19-77-20004).

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    G. V. Reshetova

  2. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    G. V. Reshetova & E. I. Romensky

Authors
  1. G. V. Reshetova
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  2. E. I. Romensky
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Correspondence to G. V. Reshetova.

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Translated by B. Shubik

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Reshetova, G.V., Romensky, E.I. Diffuse-Interface Simulation of Wave Fields in Porous Media. Dokl. Earth Sc. 497, 319–322 (2021). https://doi.org/10.1134/S1028334X21040139

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  • DOI: https://doi.org/10.1134/S1028334X21040139

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