Weighted nine-point finite-difference scheme for eliminating the grid orientation effect in numerical reservoir simulation

Conference · Mon Jan 01 04:00:00 EST 1979 · Soc. Pet. Eng. AIME, Pap.; (United States)

OSTI ID:5852107

Au, A D.K.; Ko, S C.M.

This study describes a weighted 9-point finite-difference scheme for square grid networks which provides numerical solutions independent of grid orientation. The numerical solution obtained from the weighted 9-point scheme is a linear combination of two 5-point finite-difference solutions with grid coordinates rotated at 45 to each other. The proposed scheme has been successfully applied to unfavorable mobility ratio piston-like displacement problems with short transition zones which the previous finite-difference methods have failed to solve adequately. Numerical experiments for shock mobility ratio ranging from one to 50 showed that the weighting factors used in the proposed method are a function of shock mobility ratio only, and are independent of grid block size and treatment of interblock mobility. Both the single-point upstream mobility method and the 2-point upstream mobility method were implemented in the weighted 9-point simulator. 14 references.

• OSTI ID: 5852107
• Report Number(s): CONF-790913-
• Conference Information: Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States) Journal Volume: SPE-8248
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
020300 -- Petroleum-- Drilling & Production
58 GEOSCIENCES
580300* -- Mineralogy
Petrology
& Rock Mechanics-- (-1989)
ANALOG SYSTEMS
ENERGY SOURCES
FINITE DIFFERENCE METHOD
FLUID FLOW
FLUID INJECTION
FOSSIL FUELS
FUELS
FUNCTIONAL MODELS
ITERATIVE METHODS
MATERIAL BALANCE
MATHEMATICAL MODELS
NUMERICAL SOLUTION
PERFORMANCE
PETROLEUM
RESERVOIR PRESSURE
RESERVOIR ROCK
SIMULATION
SIMULATORS
WATERFLOODING