Finite difference solutions to Grid Orientation Problems using IMPES
Conference
·
· Soc. Pet. Eng. AIME, Pap.; (United States)
OSTI ID:5265288
It is well known that numerical solutions by the standard five-point differencing schemes for two-phase flow equations exhibit Grid Orientation Effects in two and more dimensions. To minimize such effects nine-point differencing of the differential operator is often proposed, such as the recent formulation by Yanosik and McCracken (1). However, it has been observed that this approach does not give satisfactory results in the case of non-uniform grids. An alternate nine-point formula is proposed based on a more accurate integration of fluid fluxes across cell faces. Numerical results are presented which demonstrate that this formula greatly reduces the sensitivity to grid orientation in both uniform and non-uniform grids.
- Research Organization:
- Chervon Oil Field Research Co.
- OSTI ID:
- 5265288
- Report Number(s):
- CONF-831190-
- Conference Information:
- Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States) Journal Volume: SPE-11250
- Country of Publication:
- United States
- Language:
- English
Similar Records
Finite difference solutions to grid orientation problems using IMPES (implicit pressure explicit saturation)
A nine-point finite difference operator for reduction of the Grid Orientation Effect
Mixed five-point/nine-point finite-difference formulation of multiphase flow in petroleum reservoirs
Conference
·
Fri Dec 31 23:00:00 EST 1982
· Soc. Pet. Eng. AIME, Pap.; (United States)
·
OSTI ID:6079674
A nine-point finite difference operator for reduction of the Grid Orientation Effect
Conference
·
Mon Oct 31 23:00:00 EST 1983
· Soc. Pet. Eng. AIME, Pap.; (United States)
·
OSTI ID:5265286
Mixed five-point/nine-point finite-difference formulation of multiphase flow in petroleum reservoirs
Journal Article
·
Sat Oct 31 23:00:00 EST 1992
· SPE Reservoir Engineering (Society of Petroleum Engineers); (United States)
·
OSTI ID:6965265