Determination of the Duration of Gas Movement with Hemispherical-Radial Stationary Filtration of Natural Gas in a Circular Heterogeneous Reservoir

Abstract

The article has solved the stationary qas-dynamic problem of hemispherical-radial movement of natural gas in a circular inhomogeneous reservoir. Gas filtration obeys the linear Darcy filtration law. All the main gas-dynamic design formulas characterizing the operating mode of a gas well located in the center of a circular heterogeneous reservoir have been derived. Formulas for gas filtration rate, flow rate, time of gas flow movement, etc.have been displayed for both I and II reservoir zones. Consequently, stationary gas-dynamic problems have been solved for various cases of gas inhomogeneity in a circular reservoir. At the same time, the values of the total duration of the gas flow of a vertical well operating in the center of the deposit in the I and II zones have been determined. And the solution of these problems for cases of complex changes in the heterogeneity of the reservoir will allow to solve the similar issues.