Author： Ramazanov T. K. Gyulmamedov M. Kh.
Publisher： Springer Publishing Company
ISSN： 1063-7095
Source： International Applied Mechanics, Vol.39, Iss.8, 2003-08, pp. : 921-928
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Abstract
The linearized equations for saturated elastic porous media and for surrounding elastic rock are solved simultaneously; and the Volterra principle is used to derive an integro-differential filtration equation for a homogeneous weakly compressible fluid in an axisymmetric stratum with linear memory and central well. An analytical expression for porosity variation is obtained and then used to determine the permeability coefficient. The solutions are analyzed for the case where the stratum exhibits memory described by regular and singular kernels of the integral operator
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