Abstract

A numerical method is presented for describing either the one-dimensional or radial transient flow of gases through a porous medium in which the initial and terminal pressures and/or rates are specified. The purpose of this investigation was to evaluate the effect on transient gas flow of a pressure-sensitive gas permeability resulting from gas-slip effects. The gas-slip permeability or apparent permeability is assumed to vary as a linear function with the reciprocal pressure. The computations were carried out by means of punch card machines. The results demonstrate that under certain conditions, the transient flow system is greatly influenced by gas-slip permeability. However, the results also indicate that the effect of gas slip on transient flow behavior is negligible for pressure conditions usually associated with gas or petroleum reservoirs, and would be of most importance in the conduct and analysis of gas flow experiments in the laboratory. A specific laboratory application of the calculations is a possible transient method for the determination of porosity and/or gas-slip corrected permeability.

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