Some invariant solutions to two-phase fluid displacement problems including capillary effect

Journal Article · Sun May 01 00:00:00 EDT 1988 · SPE (Society of Petroleum Engineers) Reserv. Eng.; (United States)

OSTI ID:6920311

Chen, Z X

Analytical investigation of the two-phase displacement problem that considers capillary force is one of the most important and difficult problems in the theory of fluid flow through porous media. This paper presents some invariant solutions on the subject, including a self-similar solution for the axisymmetric case, a self-similar solution in a linear, isoclinal reservoir that considers the effects of gravity and capillary forces simultaneously, and a progressive wave solution corresponding to a stabilized zone of saturation distribution. The relations and differences among (1) a model that completely includes capillary effect, (2) a model that considers capillary action partially and implicitly (the Buckley-Leverett model), and (3) a model that completely ignores capillary effect are indicated and discussed.

• Research Organization: Research Inst. of Petroleum Exploration and Development, Beijing (CN)
• OSTI ID: 6920311
• Journal Information: SPE (Society of Petroleum Engineers) Reserv. Eng.; (United States), Vol. 3:2
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
03 NATURAL GAS
DISPLACEMENT FLUIDS
FLOW MODELS
CAPILLARY FLOW
ENHANCED RECOVERY
FLUID INJECTION
HYDRODYNAMICS
INVARIANCE PRINCIPLES
NATURAL GAS
NATURAL GAS WELLS
OIL WELLS
PETROLEUM
POROSITY
RESERVOIR ROCK
ROCK-FLUID INTERACTIONS
SATURATION
TWO-PHASE FLOW
WELL STIMULATION
ENERGY SOURCES
FLUID FLOW
FLUID MECHANICS
FLUIDS
FOSSIL FUELS
FUEL GAS
FUELS
GAS FUELS
GASES
MATHEMATICAL MODELS
MECHANICS
RECOVERY
STIMULATION
WELLS
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