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Mathematical models of a hydraulic shock in a slightly viscous fluid

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Abstract

In this paper, two mathematical models are derived which determine the distribution of the pressure field in the layer near a borehole under hydraulic shock. The derivation of the models is based on rigorous averaging of the equations describing, at the microscopic level, the joint motion of a rigid soil skeleton and viscous fluid filling the pores in the soil.

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Authors and Affiliations

  1. Belgorod State University, Belgorod, Russia

    A. M. Meirmanov & I. V. Nekrasova

Authors
  1. A. M. Meirmanov
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  2. I. V. Nekrasova
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Correspondence to A. M. Meirmanov.

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Original Russian Text © A.M. Meirmanov, I.V. Nekrasova, 2012, published in Matematicheskoe Modelirovanie, 2012, Vol. 24, No. 5, pp. 112–130.

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Meirmanov, A.M., Nekrasova, I.V. Mathematical models of a hydraulic shock in a slightly viscous fluid. Math Models Comput Simul 4, 597–610 (2012). https://doi.org/10.1134/S2070048212060087

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  • DOI: https://doi.org/10.1134/S2070048212060087

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