High Order Upwind Schemes for Two-Phase, Multicomponent Flow

SPE Reservoir Simulation Symposium Proceedings

Volumn , Issue , 2003, Pages

  Mallison, B ^a   Gerritsen, M ^a   Jessen, K ^a   Orr Jr , F M ^a,b  

^a SPE   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242349175     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (37)

1. Johns, R.T. and Orr, F.M., Jr. Miscible Gas Displacement of Multicomponent Oils, Soc. Pet. Eng. J., 1(1): 39-50, 1996.
2. Dinduruk, B. Analytical Theory of Multiphase, Multicomponent Displacement in Porous Media. Ph.D. thesis, Dept. of Petroleum Eng., Stanford University, Stanford, CA, 1992.
3. Wang, Y. Analytical Calculation of Minimum Miscibility Pressure. Ph.D. thesis, Dept. of Petroleum Eng., Stanford University, Stanford, CA, 1998.
4. LeVeque, R.J. Numerical Methods for Conservation Laws. Birkhauser Verlag, Basel, Switzerland, 1992.
5. Van Leer, B. Towards the Ultimate Conservative Finite Difference Scheme, V: A Second Order Sequel to Godunov's Method, J. Comput. Phys., 32: 101-36, 1979.
6. Harten, A, B. Engquist, S. Osher and S. Chakravarthy. Uniformly High Order Accurate Essentially Non-Oscillatory Schemes III, J. Comput. Phys., 71: 231-303, 1987.
7. Jiang, G.-S. and C.-W. Shu. Efficient Implementation of Weighted ENO Schemes, J. Comput. Phys., 126: 202-228, 1996.
8. Rubin, B. and M.J. Blunt. Higher Order Implicit Flux Limiting Schemes for Black Oil Simulation, SPE 21222 presented at the SPE Symposium on Reservior Simulation, Anahiem, CA, February 1991.
9. Peddibhotla, S., A. Datta-Gupta and G. Xue. Multiphase Streamline Modeling in Three Dimensions: Further Generalizations and a Field Application, SPE 38003 presented at the SPE Reservior Simulation Simposium, Dallas, TX, June 1997.
10. Chen, W.H., Durlofsky, L.J., Engquist, B., Osher, S. Minimization of grid orientation effects through use of higher order finite difference methods, SPE Advanced Technology Series, 1: 43-52, July 1993.
11. Thiele, M.R. and M. Edwards. Physically Based Higher Order Godunov Schemes for Compositional Simulation, SPE 66403 presented at the SPE Reservior Simulation Symposium, Houston, TX, February 2001.
12. Jessen, K. Effective Algorithms for the Study of Miscible Gas Injection Problems. Ph.D. thesis, IVC-SEP, Dept. of Chemical Engineering, Technical U. of Denmark, 2000.
13. Ermakov, P. Analytical Solutions for 1D Oil Displacements by Gas, MSc Report, Dept. of Petroleum Eng., Stanford University, Stanford, CA, 2000.
14. DOE Quarterly Report: High Resolution Prediction of Gas Injection Process Performance for Heterogeneous Reserviors. Principal Investigator: F.M. Orr, Jr., Contract No. DE-FC26-00BC15319, Oct.-Dec., 2001.
15. Thiele, M.R., R.P. Batycky and M.J. Blunt. A Streamline-Based Field Scale Compositional Reservior Simulator, SPE 38889 presented at the ACTE, San Antonio, TX, October 1997.
16. King, M.J. and A. Datta-Gupta. Streamline Simulation: A Current Perspective. In Situ, 22(1): 91-140, 1998.
17. Bratvedt, F., T. Gimse and C. Tegnander. Streamline Computations for Porous Media Flow Including Gravity, Transport in Porous Media, 25: 63-78, October 1996.
18. Batycky, R.P, M.J. Blunt and M.R. Thiele. A 3D Field Scale Streamline Simulator with Gravity and Changing Well Conditions, SPE 36726 presented at the SPE Annual Technical Conference and Exhibition, Denver, CO., October 1996.
19. Ingebrigtsen, L., F. Bratvedt and J. Berge. A Streamline Based Approach to Solution of Three-Phase Flow, SPE 51904 presented at the SPE Reservior Simulation Symposium, Houston, TX, February 1999.
20. Datta-Gupta, A., S. Yoon, K. Nordaas and D.W. Vasco. Streamlines, Ray Tracing and Production Tomography: Generalization to Compressible Flow, Petroleum Geoscience, 7: S75-S86, 2001.
21. Michelsen M.L.: Speeding up the Two-Phase PT-Flash, with Application for Calculation of Miscible Displacements, Fluid Phase Equilibria, 1: 143, 1998.
22. Peng, D.Y. and D.B. Robinson. A New Two-Constant Equation of State, Ind. Eng. Chem. Fund, 15: 59-64, 1976.
23. Lohrenz, J., B.G. Bray and C.R. Clark. Calculating Viscosities of Reservoir Fluids from Their Compositions, J. of Petroleum Technology, 1171, October 1964.
24. Helferich, F.G. General Theory of Multicomponent, Multiphase Displacement in Porous Media, Soc. Pet. Eng. J., 21:51-62, 1981.
25. Dumore, J.M., J. Hagoort and A.S. Risseeuw. An Analytical Model for One Dimensional Three Component Condensing and Vaporizing Gas Drives, Soc. Pet. Eng. J., 24:169-179, 1984.
26. 2 Floods, Soc. Pet. Res. Eng. 8(2): 135-142, 1993.
27. Wang, Y. and F.M. Orr, Jr. Analytical Calculation of Minimum Miscibility Pressure, Fluid Phase Equilibria, 139:151-164, 1997.
28. Jessen, K., Michelsen, M.L., and Stenby, E.H.. Global Approach for Calculation of Minimum Miscibility Pressure, Fluid Phase Equilibria.153: 251, 1998.
29. th Symposium on Improved Oil Recovery, Tulsa, OK, April 2002.
30. Sweby, P.K. High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws. SIAM J. Numerical Analysis, 21:995-1011, 1984.
31. Nessyaho, H. and E. Tadmor, Non-Oscillatory Central Differencing for Hyperbolic Conservation Laws. J. Comput. Phys., 87: 408-463, 1990.
32. Levy, D., G. Puppo and G. Russo. Central WENO Schemes for Hyperbolic Systems of Conservation Laws, Mathematical Modeling and Numerical Analysis, 33(3): 547-571, 1999.
33. Qiu, J. and C.-W. Shu. On the Construction, Comparison, and Local Characterstic Decomposition for High Order Central WENO Schemes, J. Comput. Phys., to appear.
34. Godunov, S.K. Mat. Sb., 47:271, 1959.
35. Shu, C.-W. and S. Osher. Efficient Implementation of Essentially Non-Oscillatory Shock-Capturing Schemes, J. Comput. Phys., 77: 439-471, 1988.
36. th Symposium on Reservior Simulation, New Orleans, LA, 1993.
37. Berger, M. Adaptive Mesh Refinement for Hyperbolic Differential Equations, Ph.D. thesis, Computer Science Dept., Stanford University, 1982.