A nine-point finite difference operator for reduction of the Grid Orientation Effect

Conference · Tue Nov 01 04:00:00 EST 1983 · Soc. Pet. Eng. AIME, Pap.; (United States)

OSTI ID:5265286

Shah, R C

The Grid Orientation Effect is a long-standing problem plaguing reservoir simulators that employ finite difference schemes for solution. The nine-point finite difference scheme is a well known way of reducing this effect. The schemes available in the literature are applicable only to point distributed grid systems. However, most simulators used in practice employ block centered grid systems. In this report we present a derivation of a new nine-point scheme for the block centered grid systems. The derivation is based on physical consideration and hence is free from any problems such as asymmetry or negativity of interblock transmissibilities that arise in some published schemes. The scheme is applicable to non-uniform rectangular grids and to reservoirs with inhomogeneous permeability distributions; both isotropic and anisotropic cases are treated. The expressions resulting from the new scheme reduce to those published in the literature when a square uniform grid and homogeneous isotropic permeability are considered. The reduction in the Grid Orientation Effect due to the new scheme is illustrated by a study of the steam-flood process in a five-spot pattern.

• Research Organization: Mobil R and D Corp.
• OSTI ID: 5265286
• Report Number(s): CONF-831190-
• Conference Information: Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States) Journal Volume: SPE-11251
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
020200* -- Petroleum-- Reserves
Geology
& Exploration
020300 -- Petroleum-- Drilling & Production
ANISOTROPY
COORDINATES
ENGINEERING
ENHANCED RECOVERY
FLUID INJECTION
ISOTROPY
OIL WELLS
PERMEABILITY
RECOVERY
RESERVOIR ENGINEERING
RESERVOIR ROCK
SIMULATION
STEAM INJECTION
STIMULATION
THERMAL RECOVERY
WELL SPACING
WELL STIMULATION
WELLS