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Filtration of a non-newtonian fluid through a cracked-porous medium

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Abstract

Basic processes of fluid filtration in an elastically compressible cracked-porous material in the presence of an initial filtration gradient are considered.

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Abbreviations

ϕ, ν, t:

dimensionless pressure, coordinate time

η 0 :

well radius

p, po :

dimensional pressure and its initial value in the bed

σ:

critical pressure

a:

ratio of elastic capacities of cracks and blocks

ε:

ratio of permeabilities of cracks and blocks under pressure

g:

parameter of system (1)

G, G0 :

dimensionless and dimensional initial gradient

q, Q:

discharge and overall extraction of fluid

ϕ 0 :

pressure in a well

l :

dimension of a perturbation zone

M:

characteristic dimension of a system

m:

porosity

Kρ, Km :

elastic constants of fluid and blocks

Subscripts: 1, 2:

refer to cracks and blocks, respectively

References

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Authors
  1. V. S. Nustrov
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  2. A. V. Plastinin
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Additional information

A. M. Gorkii Ural State University, Ekaterinburg. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 64, No. 4, pp. 449–455, April, 1993.

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Nustrov, V.S., Plastinin, A.V. Filtration of a non-newtonian fluid through a cracked-porous medium. J Eng Phys Thermophys 64, 360–366 (1993). https://doi.org/10.1007/BF00859221

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  • DOI: https://doi.org/10.1007/BF00859221

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