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Mathematical analysis of two-phase flow in low-permeability porous media

Authors: Arastoopour, H. (Illinois Inst. of Tech., Chicago, IL (USA). Dept. of Chemical Engineering) Semrau, J. (Institute of Gas Technology, Chicago, IL (USA))
 
Abstract: A one-dimensional isothermal transient two-phase flow model of gas and liquid in a low-permeability medium has been developed from the general mass and momentum balances.^The characteristic roots of the governing differential equations are real and distinct.^Therefore, solution of the flow equations may be attempted by a stable initial-value finite-difference scheme.^A numerical solution was obtained using the method of lines.^Calculated two-phase flow parameters are consistent with expected flow behavior and reflect the sensitivity of fluid flow to porosity, gas and liquid permeability, and capillary pressure in a tight sands porous medium.^Calculated gas flow rates compare well with experimental data obtained at the Institute of Gas Technology (IGT) for low-permeability sandstone.
Publication Date: 01 Oct 1989
Resource Type: Journal Article
Resource Relation: A.I.Ch.E. Journal (American Institute of Chemical Engineers) ; Vol/Issue: 35:10
Country of Publication: United States
Language: English
Keywords relating to this report:
-- ENGINEERING-- HEAT TRANSFER &
-- OIL SHALES &
DIFFERENTIAL EQUATIONS
EXPERIMENTAL DATA
EXPLORATION
FINITE DIFFERENCE METHOD
FLOW MODELS
FLUID FLOW
GAS FLOW
GASES-- TWO-PHASE FLOW
LIQUIDS-- TWO-PHASE FLOW
MATHEMATICAL MODELS
POROUS MATERIALS-- PERMEABILITY
SANDSTONES-- PERMEABILITY
TAR SANDS-- RESERVES, GEOLOGY, &
Related subjects:
DATA
EQUATIONS
FLUID FLOW
FLUIDS
INFORMATION
ITERATIVE METHODS
MATERIALS
MATHEMATICAL MODELS
NUMERICAL DATA
NUMERICAL SOLUTION
ROCKS
SEDIMENTARY ROCKS