Statistical assignment of upscaled flow functions for an ensemble of geological models

Computational Geosciences

Volumn 15, Issue 1, 2011, Pages 35-51

  Chen, Yuguang ^a   Park, Kwangwon ^b   Durlofsky, Louis J ^b  

^a CHEVRON ENERGY TECHNOLOGY COMPANY   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

Geostatistics; Heterogeneity; Multiple realizations; Relative permeability; Reservoir simulation; Stochastic simulation; Subsurface modeling; Uncertainty quantification; Upscaling

Indexed keywords

FLOW MODELING; GEOSTATISTICS; HETEROGENEITY; HYDROCARBON RESERVOIR; MODELING; PERMEABILITY; SIMULATION; STOCHASTICITY; TWO PHASE FLOW; UPSCALING;

EID: 78650708699     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-010-9193-3     Document Type: Article

References (31)

1. Barker, J. W., Dupouy, P.: An analysis of dynamic pseudo-relative permeability methods for oil-water flows. Pet. Geosci. 5, 385-394 (1999).
2. Caers, J.: Petroleum Geostatistics. Society of Petroleum Engineers, Richardson, TX (2005).
3. Cao, H.: Development of Techniques for General Purpose Simulation. Ph. D. thesis, Stanford University, California (2002).
4. Chen, Y., Durlofsky, L. J.: Efficient incorporation of global effects in upscaled models of two-phase flow and transport in heterogeneous formations. Multiscale Model. Simul. 5, 445-475 (2006).
5. Chen, Y., Durlofsky, L. J.: Ensemble-level upscaling for efficient estimation of fine-scale production statistics. SPE J. 13, 400-411 (2008).
6. Chen, Y., Li, Y.: Local-global two-phase upscaling of flow and transport in heterogeneous formations. Multiscale Model. Simul. 8, 125-153 (2009).
7. Chen, Y., Wu, X. H.: Upscaled modeling of well singularity for simulating flow in heterogeneous formations. Comput. Geosci. 12, 29-45 (2008).
8. Chen, Y., Durlofsky, L. J., Gerritsen, M. G., Wen, X. H.: A coupled local-global upscaling approach for simulating flow in highly heterogeneous formations. Adv. Water Resour. 26, 1041-1060 (2003).
9. Christie, M. A.: Upscaling for reservoir simulation. J. Pet. Technol. 48, 1004-1010 (1996).
10. Darman, N. H., Pickup, G. E., Sorbie, K. S.: A comparison of two-phase dynamic upscaling methods based on fluid potentials. Comput. Geosci. 6, 5-27 (2002).
11. Deutsch, C. V., Journel, A. G.: GSLIB: Geostatistical Software Library and User's Guide, 2nd edn. Oxford University Press, New York (1998).
12. Ding, Y.: Scaling-up in the vicinity of wells in heterogeneous field. Paper SPE 29137 presented at the SPE Symposium on Reservoir Simulation, San Antonio, TX, February 12-15 (1995).
13. Ding, Y., Jeannin, L.: A new methodology for singularity modeling in flow simulations in reservoir engineering. Comput. Geosci. 5, 93-119 (2001).
14. Dupouy, P., Barker, J. W., Valois, J.: Grouping pseudo relative permeability curves. In Situ 22, 1-33 (1998).
15. Durlofsky, L. J., Milliken, W. J., Bernath, A.: Scaleup in the near-well region. SPE J. 5, 110-117 (2000).
16. Farmer, C. L.: Upscaling: a review. Int. J. Numer. Methods Fluids 40, 63-78 (2002).
17. Gerritsen, M. G., Durlofsky, L. J.: Modeling fluid flow in oil reservoirs. Annu. Rev. Fluid Mech. 37, 211-238 (2005).
18. Gómez-Hernández, J. J., Journel, A. G.: Stochastic characterization of grid block permeability. SPE Form. Eval. 9, 93-99 (1994).
19. Hou, T. Y., Wu, X. H.: A multiscale finite element method for elliptic problems in composite materials and porous media. J. Comput. Phys. 134, 169-189 (1997).
20. Hui, M., Durlofsky, L. J.: Accurate coarse modeling of well-driven, high-mobility-ratio displacements in heterogeneous reservoirs. J. Pet. Sci. Eng. 49, 37-56 (2005).
21. Hui, M. H., Zhou, D., Wen, X. H., Durlofsky, L. J.: Development and application of a new technique for upscaling miscible processes. SPE Reserv. Evalu. Eng. 8, 189-195 (2005).
22. Jenny, P., Lee, S. H., Tchelepi, H. A.: Adaptive multiscale finite-volume method for multiphase flow and transport in porous media. Multiscale Model. Simul. 3, 50-64 (2004).
23. Jiang, Y.: A Flexible Computational Framework for Efficient Integrated Simulation of Advanced Wells and Unstructured Reservoir Models. Ph. D. thesis, Stanford University, California (2007).
24. Mascarenhas, O., Durlofsky, L. J.: Coarse scale simulation of horizontal wells in heterogeneous reservoirs. J. Pet. Sci. Eng. 25, 135-147 (2000).
25. Muggeridge, A. H., Cuypers, M., Bacquet, C., Barker, J. W.: Scale-up of well performance for reservoir flow simulation. Pet. Geosci. 8, 133-139 (2002).
26. Nakashima, T., Durlofsky, L. J.: Accurate representation of near-well effects in coarse-scale models of primary oil production. Transport in Porous Media. doi: 10. 1007/s11242-009-9479-x (2010).
27. Niessner, J., Helmig, R.: Multi-scale modeling of three-phase-three-component processes in heterogeneous porous media. Adv. Water Resour. 30, 2309-2325 (2007).
28. Pickup, G. E., Ringrose, P. S., Jensen, J. L., Sorbie, K. S.: Permeability tensors for sedimentary structures. Math. Geol. 26, 227-250 (1994).
29. Tran, T.: The 'missing scale' and direct simulation of block effective properties. J. Hydrol. 183, 37-56 (1996).
30. Wallstrom, T. C., Hou, S., Christie, M. A., Durlofsky, L. J., Sharp, D. H., Zou, Q.: Application of effective flux boundary conditions to two-phase upscaling in porous media. Transp. Porous Media 46, 155-178 (2002).
31. Wu, X. H., Efendiev, Y. R., Hou, T. Y.: Analysis of upscaling absolute permeability. Discrete Continuous Dyn. Syst. Ser. B 2, 185-204 (2002).