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Two-dimensional flow of two immiscible incompressible fluids in a stratified medium

Book ·
OSTI ID:6608130

Two-dimensional, 2-phase, immiscible, incompressible flow in a stratified porous medium is studied, using finite difference techniques. In particular, an investigation is made of the viscous and capillary components of crossflow and the resultant effect on oil recovery performance of waterflooding a 2-layered, water-wet, sandstone reservoir. The basic differential equations of fluid flow and continuity are solved by use of an implicit alternating direction iterative procedure. A digital computer program, adapted to the solution of the 2-layered waterflood program, is presented in detail. The program rigorously incorporates the effects of viscous, capillary, and gravity forces, variation of relative permeabilities and capillary pressure with water saturation, and point-to-point heterogeneities within the reservoir porous medium. The validity of the program is demonstrated by comparison with laboratory model tests. The dimensionless parameters which characterize immiscible incompressible flow in a layered reservoir are developed from the equations of flow and the initial, boundary, and interfacial conditions. Six parameters are shown to be important in describing performance of a 2-layered reservoir.

OSTI ID:
6608130
Country of Publication:
United States
Language:
English

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