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Laws of viscoplastic fluid flow in anisotropic porous and fractured media

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Abstract

In invariant tensor form, the laws of viscoplastic fluid flow are formulated for capillary and fractured media with a periodic microstructure that has orthotropic and transversely isotropic symmetry in the flow properties. An analysis of the laws of viscoplastic fluid flow in transversely isotropic and orthotropic porous and fractured media shows that in formulating the equations it is necessary to distinguish between the permeability tensor and the limiting gradient tensor, which may differ in the symmetry of the flow characteristics, and that the flow law is multivariant and admits one-, two-, and three-dimensional flows.

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Authors
  1. N. M. Dmitriev
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  2. V. M. Maksimov
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  3. E. A. Ryabchukov
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Additional information

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Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, 2006, pp. 112–120.

Original Russian Text Copyright © 2006 by Dmitriev, Maksimov, and Ryabchukov.

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Dmitriev, N.M., Maksimov, V.M. & Ryabchukov, E.A. Laws of viscoplastic fluid flow in anisotropic porous and fractured media. Fluid Dyn 41, 585–592 (2006). https://doi.org/10.1007/s10697-006-0076-1

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  • DOI: https://doi.org/10.1007/s10697-006-0076-1

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