APPLICATION OF THE LINEAR FLOW DIFFUSIVITY EQUATION IN ESTIMATING WATER INFLUX IN LINEAR WATER DRIVE RESERVOIRS
Abstract
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.
References
to Flow Problems in Reservoirs, AIME.
Ahmed,T. and Mckinney,P.D. 2005. Advanced Reservoir Engineering, first edition, Gulf
Professional Publishing,USA.
Dake,L.P.1978. Funadamental of Reservoir Engineering, first edition, ELSEVIER,
Amsterdam, the Netherlands.
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