Abstract
We consider the quasi-one-dimensional flow of a fluid (gas) in a porous stratum with conductivity and cross section varying along a stream tube. A special form of the differential equation (1.4) for nonstationary quasi-one-dimensional filtration is proposed. We obtain and study some sets of special solutions of this equation including specific solutions of known one-dimensional problems. We establish a relation between the stationary and nonstationary potential and flux distributions in a given filtration region. The laws we find are used as the basis for a method of hydrodynamic probing in inhomogeneous porous media.
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