A new grid block system for reducing grid orientation effect

Petroleum Science and Technology

Volumn 25, Issue 11, 2007, Pages 1473-1492

  Chong, E ^a   Syihab, Z ^b   Putra, E ^c,e   Hidayati, D T ^d   Schechter, D S ^b  

^a Shell UK Ltd   (United Kingdom)

^b Department of Electrical and Computer Engineering   (United States)

^c KINDER MORGAN INC   (United States)

^d CHEVRON ENERGY TECHNOLOGY COMPANY   (United States)

^e NONE   (United States)

Author keywords

Finite difference scheme; Grid orientation effect; Numerical simulation; Unfavorable mobility ratio

Indexed keywords

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; NUMERICAL METHODS; PROBLEM SOLVING;

CARTESIAN GRIDS; GRID ORIENTATION EFFECT (GOE); GRID-BLOCK ASSIGNMENT; UNFAVORABLE MOBILITY RATIO;

PETROLEUM RESERVOIRS;

EID: 36649024087     PISSN: 10916466     EISSN: 15322459     Source Type: Journal    
DOI: 10.1080/10916460600803736     Document Type: Article

References (18)

1. Chen, W. H., and Durlofsky, L. J. (1991). Minimization of grid orientation effects through use of higher-order finite difference methods. SPE Advanced Technology Series 1:43-52.
2. Coats, K. H., and Modine, A. D. (1983). A consistent method for calculating transmissibilities in nine point difference equations. SPE 12248, Reservoir Simulation Symposium, San Francisco, CA.
3. Frauenthal, J. C., Rolaud, B., and Towler, B. F. (1985). Reduction of grid-orientation effects in reservoir simulation with generalized upstream weighting. SPE J. 25:902-908.
4. Heinemann, Z. E., and Brand, C. W. (1991). Modeling reservoir geometry with irregular grids. SPE Reservoir Eng. 6:225-232.
5. Hirasaki, G. J., and O'Dell, P. M. (1973). Representation of reservoir geometry for reservoir simulation. Reprint Series No. 11: Numerical Simulation. Richardson, TX: Society of Petroleum Engineers, pp. 157-168.
6. Ko, S. C. M., and Au, A. D. K. (1979). A weighted nine-point finite-difference scheme for eliminating the grid orientation effect in numerical reservoir simulation. SPE 8248, Annual Fall Meeting, Las Vegas, NV.
7. Ostebo, B., and Kazemi, H. (1992). Mixed five-point/nine-point finite-difference formulation of multiphase flow in petroleum reservoirs. SPE Reservoir Eng. 7:439-444.
8. Palagi, C. L. (1992). Generation and application of Voronoi grid to model flow in heterogeneous reservoirs. Ph.D. Dissertation, Stanford University, Stanford, CA.
9. Peaceman, D. W. (1978). Interpretation of well-block pressures in numerical reservoir simulation. SPE J. 18:183-194.
10. Pinro, A. C. C., and Correa, A. C. F. (1992). High-Resolution Schemes for Conservation Laws: Applications to Reservoir Engineering. SPE 24262, European Petroleum Computer Conference, Stavanger, Norway.
11. Pruess, K., and Bodvarsson, G. S. (1983). A seven-point finite difference method for improved grid orientation performance in pattern steamfloods. SPE 12252, Reservoir Simulation Symposium, San Francisco, CA.
12. Robertson, G. E., and Woo, P. T. (1978). Grid-orientation effects and the use of orthogonal curvilinear coordinates in reservoir simulation. SPE J. 18:13-19.
13. Shah, P. C. (1983). A nine-point finite difference operator for reduction of the grid orientation effect. SPE12251, Reservoir Simulation Symposium, San Francisco, CA, p. 171.
14. Shin, D., and Merchant, A. R. (1993). Higher-order flux update function method for reduction of numerical dispersion and grid orientation effect in reservoir simulation. SPE Advanced Technology Series 2:95-102.
15. Todd, M. R., O'Dell, P. M., and Hirasaki, G. J. (1972). Methods for increased accuracy in numerical simulation. SPE J. 12:515-530.
16. Vinsome, P. K., and Au, A. K. (1981). One approach to the grid orientation problem in reservoir simulation. SPE J. 160-161.
17. Wolcott, D. S., Kazemi, H., and Dean, R. H (1996). A practical method for minimizing the grid orientation effect in reservoir simulation. SPE 36723, Annual Technical Conference and Exhibition, Denver, CO.
18. Yanosik, J. L., and McCracken, T. A. (1979). A nine-point, finite-difference simulator for realistic prediction of adverse mobility ratio displacements. SPE J. 19:253-262.