Nonstandard finite element analysis of immiscible displacement

Journal Article · Tue Mar 01 04:00:00 EST 1983 · Soil Sci.; (United States)

OSTI ID:5877193

Cushman, J H

An immiscible displacement problem is examined by means of nonstandard finite elements. In particular, a problem involving water being applied to a one-dimensional horizontal reservoir (of coarse sand or gravel) displacing the fluid that was initially in the reservoir is discussed. The nonstandard Galerkin method is presented for flow equations of hyperbolic structure in finite difference form. The Buckley-Leverett equation representing the above displacement problem is shown to be of this hyperbolic nature. Graphic results are presented that compare the analytic and numeric solutions to the problem. Specifically, it is shown that the method accurately tracks the saturation discontinuity (shock). A possible method for extending the numeric technique to the more general parabolic case is discussed. 18 references.

• OSTI ID: 5877193
• Journal Information: Soil Sci.; (United States), Journal Name: Soil Sci.; (United States) Vol. 135:3; ISSN SOSCA
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
020300* -- Petroleum-- Drilling & Production
DATA
DISPLACEMENT FLUIDS
ENHANCED RECOVERY
FLUID FLOW
FLUID INJECTION
FLUID MECHANICS
FLUIDS
INFORMATION
ITERATIVE METHODS
MATHEMATICAL MODELS
MECHANICS
NUMERICAL DATA
OIL WELLS
RECOVERY
RESERVOIR ROCK
SATURATION
STIMULATION
WATERFLOODING
WELL STIMULATION
WELLS