APPLICATION OF THE LINEAR FLOW DIFFUSIVITY EQUATION IN ESTIMATING WATER INFLUX IN LINEAR WATER DRIVE RESERVOIRS
Over the years, many models for estimating unsteady-state water influx in edge–water drive reservoir-aquifer systems as well as bottom-water drive reservoir–aquifer systems have been developed. Unfortunately, little emphasis has been placed on reservoir–aquifer systems of linear geometry. Therefore, this paper examines the applicability of the linear flow diffusivity equation in developing a model suitable for estimating unsteady-state water influx in linear water drive reservoir–aquifer (infinite) systems. The linear flow diffusivity equation is written in dimensionless form by defining an appropriate dimensionless time and dimensionless length in order to enhance a more generalized application. Moreover, the required constant-terminal pressure solution of the dimensionless equation is obtained by imposing the appropriate Drichlet’s and Newmann’s boundary conditions. Finally, the applicability of the solution is demonstrated using superposition principle.
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