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d’Alembert Formula for Poroelasticity System Described by Three Elastic Parameters

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We consider the Cauchy problem for a one-dimensional homogeneous system of poroelasticity equations described by three elastic parameters in a reversible hydrodynamic approximation. We find a solution to the Cauchy problem in the form of the d’Alembert formula and show the influence of porosity on the acoustic wave propagation.

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Authors and Affiliations

  1. Karshi State University, 7, Kuchabag St., Karshi, Uzbekistan, 180119

    Abror M. Rakhimov

  2. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the Russian Academy of Sciences, 6. Lavrent’eva pr, Novosibirsk, 630090, Russia

    Kholmatzhon Kh. Imomnazarov

Authors
  1. Abror M. Rakhimov
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  2. Kholmatzhon Kh. Imomnazarov
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Correspondence to Kholmatzhon Kh. Imomnazarov.

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Rakhimov, A.M., Imomnazarov, K.K. d’Alembert Formula for Poroelasticity System Described by Three Elastic Parameters. J Math Sci 274, 269–274 (2023). https://doi.org/10.1007/s10958-023-06594-9

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  • DOI: https://doi.org/10.1007/s10958-023-06594-9

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