Spatial error and convergence in streamline simulation

SPE Reservoir Evaluation and Engineering

Volumn 10, Issue 3, 2007, Pages 221-232

  Jimenez, Eduardo ^a   Sabir, Kamran ^a,b   Datta Gupta, Akhil ^a   King, Michael J ^c  

^a Texas AandM University   (United States)

^b CHEVRON ENERGY TECHNOLOGY COMPANY   (United States)

^c BP AMERICA INC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; ERRORS; FINITE DIFFERENCE METHOD; FLOODS; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; OPTIMIZATION;

STREAMLINE SIMULATION; WATERFLOOD OPTIMIZATION;

STREAM FLOW;

ALGORITHMS; COMPUTER SIMULATION; ERRORS; FINITE DIFFERENCE METHOD; FLOODS; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; OPTIMIZATION; STREAM FLOW;

ALGORITHM; COMPRESSIBLE FLOW; CONVERGENCE; FINITE DIFFERENCE METHOD; NUMERICAL MODEL;

EID: 34447299092     PISSN: 10946470     EISSN: None     Source Type: Journal    
DOI: 10.2118/92873-pa     Document Type: Article

References (21)

1. Bear, J. 1972. Dynamics of Fluids in Porous Media. New York City: American Elsevier.
2. Blunt, M.J., Lui, K., and Thiele, M.R. 1996. A Generalized Streamline Method to Predict Reservoir Flow. Petroleum Geoscience 2: 259-269.
3. Bratvedt, F., Bratvedt, K., Buchholz, C.F. et al. 1993. FRONTLINE and FRONTSIM. Two Full Scale, Two-Phase, Black Oil Reservoir Simulators Based on Front Tracking. Surv. Math. Ind. 3: 185.
4. Bratvedt, F., Gimse, T., and Tegnander, C. 1996. Streamline Computations for Porous Media Flow Including Gravity. Transport in Porous Media 25: 63. DOI: 10.1007/BF00141262.
5. Cordes, C. and Kinzelbach, W. 1992. Continuous Groundwater Velocity Fields and Path Lines in Linear, Bilinear and Trilinear Finite Elements. Water Resour. Res. 28: 2903. DOI: 10.1029/96WR00567.
6. Crane, M., Bratvedt, F., Bratvedt, K., Childs, P., and Olufsen, R. 2000. A Fully Compositional Streamline Simulator. Paper SPE 63156 presented at the SPE Annual Technical Conference anal Exhibition, Dallas, 1-4 October. DOI: 10.2118/63156-MS.
7. Datta-Gupta, A. and King, M.J. 1995. A Semianalytic Approach to Tracer Flow Modeling in Heterogeneous Permeable Media. Adv. in Water Resources 18 (1): 9. DOI: 10.1016/0309-1708(94)00021-V.
8. Jimenez, E. 2004. The Impact of Grid Geometry on Displacement Calculations. MS thesis, Texas A&M U., College Station, Texas (August 2004).
9. King, M.J. and Datta-Gupta, A. 1998. Streamline Simulation: A Current Perspective. In Situ 22 (1): 91.
10. Kulkarni, K.N., Datta-Gupta, A., and Vasco, D.W. 2001. A Streamline Approach for Integrating Transient Pressure Data into High-Resolution Reservoir Models. SPEJ 6 (3): 273-282. SPE-74135-PA. DOI: 10.2118/74135-PA.
11. Lolomari, T., Bratvedt, K., Crane, M., Milliken, W.J., and Tyrie, J.J. 2000. The Use of Streamline Simulation in Reservoir Management: Methodology and Case Studies. Paper SPE 63157 presented at the SPE Annual Technical Conference and Exhibition, Dallas, 1-4 October. DOI: 10.2118/63157-MS.
12. Mallison, B.T., Gerritsen, M,G., and Matringe, S.F. 2004. Improved Mappings for Streamline-Based Simulation. Paper SPE 89352 presented at the SPE/DOE Symposium on Improved Oil Recovery, Tulsa, 17-21 April. DOI: 10.2118/89352-MS.
13. Martin, J.C. and Wegner, R.E. 1979. Numerical Solution of Multiphase Two-Dimensional Incompressible Flow Using Streamtube Relationships. SPEJ 19 (5): 313-323; Trans., AIME, 267. SPE-7140-PA. DOI: 10.2118/7140-PA.
14. Martin, J.C., Woo, P.T., and Wegner, R.E. 1973. Failure of Stream Tube Methods To Predict Waterflood Performance of an Isolated Inverted Five-Spot at Favorable Mobility Ratios. JPT 25 (2): 151-153. SPE-4346-PA. DOI: 10.2118/4346-PA.
15. Matringe, S.F. and Gerritsen, M.G. 2004. On Accurate Tracing of Streamlines. Paper SPE 89920 presented at the SPE Annual Technical Conference and Exhibition, Houston, 26-29 September. DOI: 10.2118/ 89920-MS,
16. Morel-Seytoux, H.J. 1965. Analytical-Numerical Method in Waterflooding Predictions. SPEJ 5 (3): 247-258; Trans., AIME, 234, SPE-985-PA. DOI: 10.2118/985-PA.
17. Osako, I., Datta-Gupta, A., and King, M.J. 2003. Timestep Selection During Streamline Simulation via Transverse Flux Correction. Paper SPE 79688 presented at the SPE Reservoir Simulation Symposium, Houston, 3-5 February. DOI: 10.2118/79688-MS.
18. Pollock, D.W. 1988. Semi-analytical Computation of Path Lines for Finite Difference Models. Ground Water 26 (6): 743. DOI: 1O. 1111/ j.1745-6584.1988.tb00425.x.
19. Ponting, D.K. 1989. Corner Point Geometry in Reservoir Simulation. Paper presented at the 1st European Conference on the Mathematics of Oil Recovery, Cambridge, UK.
20. Prévost, M., Edwards, M.G., and Blunt, M.J. 2001. Streamline Tracing on Curvilinear Structured and Unstructured Grids. Paper SPE 66347 presented at the SPE Reservoir Simulation Symposium, Houston, 11-14 February. DOI: 10.2118/66347-MS.
21. Sabir, K. 2002. Velocity Models, Material Balance and Solution Convergence in Streamline-Based Simulation. MS thesis, Texas A&M U., College Station, Texas (December 2002).