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

Abstract

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.

Authors:
Publication Date:
Research Org.:
Research Inst. of Petroleum Exploration and Development, Beijing (CN)
OSTI Identifier:
6920311
Resource Type:
Journal Article
Journal Name:
SPE (Society of Petroleum Engineers) Reserv. Eng.; (United States)
Additional Journal Information:
Journal Volume: 3:2
Country of Publication:
United States
Language:
English
Subject:
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; 020300* - Petroleum- Drilling & Production; 030900 - Natural Gas- Artificial Stimulation, Plowshare- (-1989)

Citation Formats

Chen, Z X. Some invariant solutions to two-phase fluid displacement problems including capillary effect. United States: N. p., 1988. Web.
Chen, Z X. Some invariant solutions to two-phase fluid displacement problems including capillary effect. United States.
Chen, Z X. 1988. "Some invariant solutions to two-phase fluid displacement problems including capillary effect". United States.
@article{osti_6920311,
title = {Some invariant solutions to two-phase fluid displacement problems including capillary effect},
author = {Chen, Z X},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/6920311}, journal = {SPE (Society of Petroleum Engineers) Reserv. Eng.; (United States)},
number = ,
volume = 3:2,
place = {United States},
year = {Sun May 01 00:00:00 EDT 1988},
month = {Sun May 01 00:00:00 EDT 1988}
}