Transient flow of non-Newtonian power-law fluids in porous media
A study of the transient flow behavior of non-Newtonian fluids in petroleum reservoirs has been made. A new partial differential equation has been derived. The diffusivity equation is a special case of this new equation. The new partial differential equation describes the flow of a slightly compressible, non-Newtonian, power- law fluid in a homogeneous porous medium. This equation should govern the flow of most non-Newtonian oil displacement agents used in secondary and tertiary oil recovery projects, e.g., polymer solutions, micellar solutions, and foams. Analytical solutions of the new partial differential equation were obtained. The solutions permit new methods of well-test analysis for non-Newtonian fluids. Graphs of the dimensionless pressure function also are presented. These may be used to investigate the error in using Newtonian fluid flow equations to model the flow of non-Newtonian fluids in porous media. (26 refs.)
- Research Organization:
- Stanford Univ
- OSTI ID:
- 6583750
- Report Number(s):
- CONF-7804200-
- Journal Information:
- Soc. Pet. Eng. AIME, Pap.; (United States), Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States) Vol. SPE-7139; ISSN SEAPA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
020300* -- Petroleum-- Drilling & Production
42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
ADDITIVES
COLLOIDS
DIFFERENTIAL EQUATIONS
DIFFUSION
DISPERSIONS
ENHANCED RECOVERY
EQUATIONS
FLOW MODELS
FLUID FLOW
FLUID INJECTION
FLUIDS
FOAMS
MATERIALS
MATHEMATICAL MODELS
MICROEMULSION FLOODING
MISCIBLE-PHASE DISPLACEMENT
OIL WELLS
POROUS MATERIALS
RECOVERY
RESERVOIR FLUIDS
USES
WELLS