Adaptive multiscale streamline simulation and inversion for high-resolution geomodels

SPE Journal

Volumn 13, Issue 1, 2008, Pages 99-111

  Stenerud, Vegard R ^a   Kippe, Vegard ^a   Lie, Knut Andreas ^b,c,d   Datta Gupta, Akhil ^e  

^a STATOIL   (Norway)

^b SINTEF ICT   (Norway)

^c UNIVERSITY OF BERGEN   (Norway)

^d UNIVERSITY OF OSLO   (Norway)

^e Texas AandM University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; FLOW SIMULATION; PETROLEUM GEOLOGY;

HIGH-RESOLUTION GEOLOGIC MODEL; MULTISCALE-STREAMLINE METHOD;

PETROLEUM RESERVOIR EVALUATION;

EID: 42549129914     PISSN: 1086055X     EISSN: None     Source Type: Journal    
DOI: 10.2118/106228-PA     Document Type: Article

References (24)

1. Aarnes, J.E. 2004. On the Use of a Mixed Multiscale Finite Element Method for Greater Flexibility and Increased Speed or Improved Accuracy in Reservoir Simulation. Multiscale Modeling and Simulation 2 (3): 421-439. DOI: 10.1137/030600655.
2. Aarnes, J.E. and Lie, K.-A. 2004. Toward Reservoir Simulation on Geological Grid Models. Proc., 9th European Conference on the Mathematics of Oil Recovery, Cannes, France, 30 August-2 September, B21.
3. Aarnes, J.E., Kippe, V., and Lie, K.-A. 2005. Mixed Multiscale Finite Elements and Streamline Methods for Reservoir Simulation of Large Geomodels. Advances in Water Resources 28 (3): 257-271. DOI: 10.1016/j.advwatres.2004.10.007.
4. Aarnes, J.E., Krogstad, S., and Lie, K.-A. 2006. A Hierarchical Multiscale Method for Two-Phase Flow Based Upon Mixed Finite Elements and Nonuniform Coarse Grids. Multiscale Modeling and Simulation 5 (2): 337-363. DOI: 10.1137/050634566.
5. Aarnes, J.E., Krogstad, S., and Lie, K.-A. In process. Multiscale Mixed/ Mimetic Methods on Corner-Point Grids. Computational Geosciences. DOI: 10.1007/s10596-007-9072-8.
6. Al-Harbi, M., Cheng, H., He, Z., and Datta-Gupta, A. 2005. Streamline-Based Production Data Integration in Naturally Fractured Reservoirs. SPEJ 10 (4): 426-439. SPE-89914-PA. DOI: 10.2118/89914-PA.
7. Arbogast, T. and Bryant, S.L. 2002. A Two-Scale Numerical Subgrid Technique for Waterflood Simulations. SPEJ 7 (4): 446-457. SPE-81909-PA. DOI: 10.2118/81909-PA.
8. Chen, Z. and Hou, T.H. 2002. A Mixed Multiscale Finite Element Method for Elliptic Problems With Oscillating Coefficients. Mathematics of Computation 72 (242): 541-576. DOI: 10.1090/ S0025-5718-02-01441-2.
9. Cheng, H., Oyerinde, D., Datta-Gupta, A., and Milliken, W. 2006. Compressible Streamlines and Three-Phase History Matching. Paper SPE 99465 presented at the SPE/DOE Symposium on Improved Oil Recovery, Tulsa, 22-26 April. DOI: 10.2118/99465-MS.
10. Deutsch, C.V. and Journel, A.G. 1998. GSLIB Geostatistical Software Library and User's Guide, Oxford University.
11. Gautier, Y., Blunt, M.J., and Christie, M.A. 1999. Nested Gridding and Streamline-Based Simulation for Fast Reservoir Performance Prediction. Computational Geosciences 3 (3-4): 295-320. DOI: 10.1023/ A:1011535210857.
12. He, Z., Yoon, S., and Datta-Gupta, A. 2002. Streamline-Based Production Data Integration With Gravity and Changing Field Conditions. SPEJ 7 (4): 423-436. SPE-81208-PA. DOI: 10.2118/81208-PA.
13. Holden, H. and Risebro, N.H. 2002. Front Tracking for Hyperbolic Conservation Laws. New York City: Springer-Verlag.
14. Hou, T.H. and Wu, X.-H. 1997. A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media. Journal of Computational Physics 134 (1): 169-189. DOI: 10.1006/ jcph.1997.5682.
15. Jenny, P., Lee, S.H., and Tchelepi, H.A. 2004. Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media. Multiscale Modeling and Simulation 3 (1): 50-64. DOI: 10.1137/030600795.
16. Kippe, V., Hægland, H., and Lie, K.-A. 2007. A Method To Improve the Mass Balance in Streamline Methods. Paper SPE 106250 presented at the SPE Annual Reservoir Simulation Symposium, Houston, 26-28 February. DOI: 10.2118/106250-MS.
17. Milliken, W.J., Emanuel, A.S., and Chakravarty, A. 2001. Application of 3D Streamline Simulation To Assist History Matching. SPEJ 4 (6): 502-508. SPE-74712-PA. DOI: 10.2118/74712-PA.
18. Paige, C.C. and Saunders, M.A. 1982. LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares. ACM Transactions on Mathematical Software 8 (1): 43-71. DOI: 10.1145 /355984.355989.
19. Raviart, P.-A. and Thomas, J.M. 1977. A Mixed Finite Element Method for 2nd Order Elliptic Problems. In Lecture Notes in Mathematics, 606: 292-315, Berlin: Springer.
20. Vasco, D.W., Yoon, S., and Datta-Gupta, A. 1999. Integrating Dynamic Data Into High-Resolution Models Using Streamline-Based Analytic Sensitivity Coefficients. SPEJ 4 (4): 389-399. SPE-59253-PA. DOI: 10.2118/59253-PA.
21. Vega, L., Rojas, D., and Datta-Gupta, A. 2004. Scalability of the Deterministic and Bayesian Approaches to Production-Data Integration Into Reservoir Models. SPEJ 9 (3): 330-338. SPE-88961-PA. DOI: 10.2118/88961-PA.
22. Wang, Y. and Kovscek, A.R. 2000. A Streamline Approach to History Matching Production Data. SPEJ 5 (4):353-362. SPE-58350-PA. DOI: 10.2118/58350-PA.
23. Wu, Z., and Datta-Gupta, A. 2002. Rapid History Matching Using a Generalized Travel-Time Inversion Method. SPEJ 7 (2): 113-122. SPE-78359-PA. DOI: 10.2118/78359-PA.
24. Yoon, S., Malallah, A.H., Datta-Gupta, A., Vasco, D.W., and Behrens, R.A. 2001. A Multiscale Approach to Production-Data Integration Using Streamline Models, SPEJ 6 (2): 182-192. SPE-71313-PA. DOI: 10.2118/71313-PA.