Investigation of boundary value problems for plane-parallel fluid flows in an anisotropic porous medium |
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Authors: | V F Piven’ |
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Institution: | 1.Orel State University,Orel,Russia |
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Abstract: | We pose and consider the first and second boundary value problems and the transmission boundary value problem for plane-parallel
steady flows in an anisotropic porous medium characterized by the permeability tensor, which is not necessarily symmetric.
If the anisotropic medium is homogeneous, then the solutions of the problems in the case of canonical boundaries (a straight
line or an ellipse) can be found in closed form, and in the case of arbitrary smooth boundaries, the study of these problems
can be reduced with the use of Cauchy type integrals to the solution of inhomogeneous integral equations of the second kind.
These problems are mathematical models of topical practical problems that arise, for example, in fluid (water or oil) recovery
from natural soil strata of complicated geological structure. |
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Keywords: | |
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