Mixed five-point/nine-point finite-difference formulation of multiphase flow in petroleum reservoirs

Journal Article · Sun Nov 01 04:00:00 EST 1992 · SPE Reservoir Engineering (Society of Petroleum Engineers); (United States)

OSTI ID:6965265

Ostebo, B ^[1]; Kazemi, H ^[2]

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1. Statoil, Stavanger (Norway)
2. Marathon Oil Co., Petroleum Technology Center, Littleton, CO (United States)

Nine-point finite-difference formulation of multiphase flow in the x-y pane is well-known to reduce grid-orientation effects. This paper proposes a new implicit pressure, explicit saturation (IMPES) formulation that uses implicit pressures for the customary five points of the x-y grid system, explicit pressures for the four points on the diagonals, and explicit saturations for all nine points. This proposed split-operator scheme produces virtually identical results as the standard nine-point formulation of Yanosik and McCracken, but can be easily implemented in existing five-point simulators without requiring any changes in the commonly used solution algorithms, such as the D-4 Gauss. The use of this new technique should enhance the accuracy of existing large-scale IMPES simulators with little increase in storage requirement or computing time. The method can be used with any set of nine-point coefficients and can be extended to fully implicit simulators.

• OSTI ID: 6965265
• Journal Information: SPE Reservoir Engineering (Society of Petroleum Engineers); (United States), Journal Name: SPE Reservoir Engineering (Society of Petroleum Engineers); (United States) Vol. 7:4; ISSN 0885-9248; ISSN SREEEF
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
020200* -- Petroleum-- Reserves
Geology
& Exploration
020300 -- Petroleum-- Drilling & Production
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
CALCULATION METHODS
ELECTRODES
ENERGY SOURCES
FINITE DIFFERENCE METHOD
FLOW MODELS
FLUID FLOW
FLUIDS
FOSSIL FUELS
FUELS
GRIDS
ITERATIVE METHODS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MULTIPHASE FLOW
NUMERICAL SOLUTION
OIL WELLS
PETROLEUM
RESERVOIR FLUIDS
RESERVOIR PRESSURE
RESERVOIR ROCK
WELLS