Advanced Upscaling for Kashagan Reservoir Modeling
- Paola Panfili (Eni) | Alberto Cominelli (Eni) | Marica Calabrese (Eni) | Cristian Albertini (Eni) | Alexey Savitsky (Eni) | Greta Leoni (Eni)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Evaluation & Engineering
- Publication Date
- April 2012
- Document Type
- Journal Paper
- 150 - 164
- 2012. Society of Petroleum Engineers
- 4.3.4 Scale, 5.4.2 Gas Injection Methods, 5.1.5 Geologic Modeling
- Dual Porosity/Dual Permeability, Gas Injection, Upscaling
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- 1,316 since 2007
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The Kashagan field is a huge carbonate formation located 4.5 km below the bottom of the North Caspian sea. The reservoir is saturated by overpressured light oil, and the development is based on first-contact-miscible gas injection.
The reservoir is highly stratified, with a fine sequence of depositional cycles and long-range lateral correlations. Three porosity systems (matrix, karst, and fractures) can be organized in two main environments: a massive, low-permeability, matrix-like inner platform and a highly fractured/karstified rim.
The reservoir geology is modeled by means of detailed geological grids consisting of tens of millions of cells, with vertical spacing of 1 m or even less to account for high-order depositional cycles. Geological grid cannot be used to run compositional simulations, and much-coarser grids, in which hundreds of geological layers are lumped in few tens of dynamic layers, are used by reservoir engineers. To minimize errors because of the coarse scale, an average lateral spacing of 250x250 m is used for both simulation and geological grid; nonetheless, upscaling remains a challenge. Traditional permeability (k*) upscaling methods, including flow-based methods, overestimate Kashagan field/wells production and injection potentials.
We implemented a method in which the outcome of the upscaling are effective transmissibility (T*) instead of k*. T* upscaling has been proposed in the past as an alternative to k* upscaling, but it is neither part of commercial workflows nor widely accepted in the reservoir-modeling community. In our T* upscaling, the solution of local flow problems around coarse-cell interfaces is used to compute coarse transmissibility. T* and k* upscaling were compared by simulating both single-phase and gas-injection problems, including platform and rim, using the results of fine-scale simulation as a reference. We considered (1) single-porosity simulations with geological grid populated by only matrix (first medium) and karst+fracture (second medium) properties and (2) dual-porosity/dual-permeability simulations encompassing both media. Contrary to k* upscaling, T*-based coarse simulations perfectly replicate fine-scale field and well injection/production potentials.
Using T* upscaling as a cornerstone for company activities on Kashagan, we can run coarse-scale full-field simulations in a few hours without loss of consistency with the results provided by weeks-long, often unpractical, fine-scale simulations. On the contrary, the inaccuracy of k* upscaling would have required much finer and more computationally-expensive simulation grids together with the implementation of ad hoc multiphase upscaling.
|File Size||6 MB||Number of Pages||15|
Aavatsmark, I. 2002. An Introduction to Multipoint Flux Approximations forQuadrilateral Grids. Comput. Geosci. 6 (3-4): 405-432. http://dx.doi.org/10.1023/A:1021291114475.
Ballin, P.R., Clifford, P.J., and Christie, M.A. 2001. Cupiagua: A ComplexFull-Field Fractured Reservoir Study Using Compositional Upscaling. Paper SPE66376 presented at the SPE Reservoir Simulation Symposium, Houston, 1-14February. http://dx.doi.org/10.2118/66376-MS.
Barker, J.W. and Thibeau, S. 1997. A Critical Review of the Use ofPseudorelative Permeabilities for Upscaling. SPE Res Eng 12(2): 138-143. SPE-35491-PA. http://dx.doi.org/10.2118/35491-PA.
Cardwell, W.T. Jr. and Parsons, R.L. 1945. Average Permeabilities ofHeterogeneous Oil Sands. In Petroleum Development and Technology 1945,ed. Vol. 160, Chap. I, 34-42 (SPE-945034-G). New York City: Transactions of theAmerican Institute of Mining and Metallurgical Engineers, AIME.
Chen, Y. and Durlofsky, L. 2006. Adaptive Local-Global Upscaling for GeneralFlow Scenarios in Heterogeneous Formations. Transport Porous Media 62 (1): 157-185. http://dx.doi.org/10.1007/s11242-005-0619-7.
Chen, Y. and Wu, X.-H. 2008. Upscaled modeling of well singularity forsimulating flow in heterogeneous formations. Comput. Geosci. 12 (1): 29-45. http://dx.doi.org/10.1007/s10596-007-9059-5.
Chen, Y., Bernath, A., Rai, H., and Muron, P. 2009. Development andApplication of Upscaling Techniques for Modeling Near-Well Flow inHeterogeneous Reservoirs. Paper SPE 124955 presented at the SPE AnnualTechnical Conference and Exhibition, New Orleans, 4-7 October. http://dx.doi.org/10.2118/124955-MS.
Chen, Y., Durlofsky, L.J., Gerritsen, M., and Wen, X.H. 2003. A coupledlocal-global upscaling approach for simulating flow in highly heterogeneousformations. Adv. Water Resour. 26 (10): 1041-1060. http://dx.doi.org/10.1016/S0309-1708(03)00101-5.
Christie, M.A. 2001. Flow in porous media—scale up of multiphase flow.Curr. Opin. Colloid Interface Sci. 6 (3): 236-241. http://dx.doi.org/10.1016/S1359-0294(01)00087-5.
Christie, M.A. and Clifford, P.J. 1998. Fast Procedure for UpscalingCompositional Simulation. SPE J. 3 (3): 272-278. SPE 50992.http://dx.doi.org/10.2118/50992-PA.
Denby, P.G., Tealdi, L., Vert, M., and Francia, L. 2005. Miscible GasInjection Issues in a Thick Carbonate Volatile Oil Reservoir. Paper presentedat the European Symposium on Improved Oil Recovery (IOR 2005), Budapest,Hungary, 25-27 April.
Ding, Y. 1995. Scaling-up in the Vicinity of Wells in Heterogeneous Field.Paper SPE 29137 presented at the SPE Reservoir Simulation Symposium, SanAntonio, Texas, USA, 12-15 February. http://dx.doi.org/10.2118/29137-MS.
Ding, Y. 2004. Upscaling on distorted gridblocks for simulation of advancedwells. J. Pet. Sci. Eng. 43 (1-2): 87-97. http://dx.doi.org/10.1016/j.petrol.2003.12.018.
Ding, Y. and Urgelli, D. 1997. Upscaling of Transmissibility for Field ScaleFlow Simulation in Heterogeneous Media. Paper SPE 38016 presented at the SPEReservoir Simulation Symposium, Dallas, 8-11 June. http://dx.doi.org/10.2118/38016-MS.
Durlofsky, L.J. 1992. Modeling Fluid Flow Through Complex Reservoir Beds.SPE Form Eval 7 (4): 315-322. SPE-21240-PA. http://dx.doi.org/10.2118/21240-PA.
Durlofsky, L.J. 2003. Upscaling of Geocellular Models for Reservoir FlowSimulation: A Review of Recent Progress. Paper presented at the 7thInternational Forum on Reservoir Simulation, Bühl/Baden-Baden, Germany, 23-27June.
Durlofsky, L.J. 2005. Upscaling and Gridding of Fine Scale Geological Modelsfor Flow Simulation. Paper presented at the International Forum on ReservoirSimulation, Stresa, Italy, 20-24 June.
Durlofsky, L.J., Milliken, W.J., and Bernath, A. 2000. Scaleup in theNear-Well Region. SPE J. 5 (1): 110-117. SPE-61855-PA. http://dx.doi.org/10.2118/61855-PA.
Farmer, C.L. 2002. Upscaling: a review. Int. J. Numer. Methods Fluids 40 (1-2): 63-78. http://dx.doi.org/10.1002/fld.267.
Gong, B., Karimi-Fard, M., and Durlofsky, L.J. 2008. Upscaling DiscreteFracture Characterizations to Dual-Porosity, Dual-Permeability Models forEfficient Simulation of Flow With Strong Gravitational Effects. SPE J. 13 (1): 58-67. SPE-102491-PA. http://dx.doi.org/10.2118/102491-PA.
Kazemi, H., Merrill, J.R., Porterfield, K.L., and Zeman, P.R. 1976.Numerical Simulation of Water-Oil Flow in Naturally Fractured Reservoirs.SPE J. 16 (6): 317-326. SPE-5719-PA. http://dx.doi.org/10.2118/5719-PA.
King, M.J. and Mansfield, M. 1999. Flow Simulation of Geologic Models.SPE Res Eval & Eng 2 (4): 351-367. SPE-57469-PA. http://dx.doi.org/10.2118/57469-PA.
Lim, K.T. and Aziz, K. 1995. Matrix-fracture transfer functions for dualporosity simulators. J. Pet. Sci. Eng. 13 (3-4): 169-178.http://dx.doi.org/10.1016/0920-4105(95)00010-F.
Peaceman, D.W. 1983. Interpretation of Well-Block Pressures in NumericalReservoir Simulation With Nonsquare Grid Blocks and Anisotropic Permeability.SPE J. 23 (3): 531-543. SPE-10528-PA. http://dx.doi.org/10.2118/10528-PA.
Reiss, L.H. 1980. The Reservoir Engineering Aspects of FracturedFormations, trans. M. Creusot (French). Paris: Editions Technip.
Tealdi, L., Francia, L., and Nembrini, E. 2006. Dynamic Upscaling From aComplex Triple-Porosity System to a Single-Porosity Model: A SuccessfulApplication for a Miscible-Gas-Injection Project. Paper SPE 100185 presented atthe SPE Europec/EAGE Annual Conference and Exhibition, Vienna, Austria, 12-15June. http://dx.doi.org/10.2118/100185-MS.
van Heel, A.P.G., Boerrigter, P.M., and van Dorp, J.J. 2008. Thermal andHydraulic Matrix-Fracture Interaction in Dual Permeability Simulation. SPERes Eval & Eng 11 (4): 735-749. SPE-102471-PA. http://dx.doi.org/10.2118/102471-PA.
Warren, J.E. and Price, H.S. 1961. Flow in Heterogeneous Porous Media.SPE J. 1 (3): 153-169. SPE-1579-G. http://dx.doi.org/10.2118/1579-G.
Warren, J.E. and Root, P.J. 1963. The Behavior of Naturally FracturedReservoirs. SPE J. 3 (3): 245-255. SPE-426-PA. http://dx.doi.org/10.2118/426-PA.
Wen, X., Durlofsky, L., and Edwards, M. 2003. Use of Border Regions forImproved Permeability Upscaling. Math. Geol. 35 (5):521-547. http://dx.doi.org/10.1023/a:1026230617943.
Wen, X.-H., Durlofsky, L.J., and Chen, Y. 2006. Efficient 3D Implementationof Local-Global Upscaling for Reservoir Simulation. SPE J. 11 (4): 443-453. SPE-92965-PA. http://dx.doi.org/10.2118/92965-PA.
Wu, X.-H., Ghai, S.S., Stone, M., Parashkevov, R., and Lyons, S.L. 2007.Improving Reservoir Modeling With Global Scale-up. Paper IPTC 11335 presentedat the International Petroleum Technology Conference, Dubai, 4-6 December. http://dx.doi.org/10.2523/11335-MS.
Wu, X.-H., Parashkevov, R., Stone, M., and Lyons, S. 2008. Global scale-upon reservoir models with piecewise constant permeability field. J. ofAlgorithms & Computational Technology 2 (2): 223-247. http://dx.doi.org/10.1260/174830108784646643.
Zhou, Y. and King, M.J. 2011. Improved Upscaling for Flow Simulation ofTight Gas Reservoir Models. Paper SPE 147355 presented at the SPE AnnualTechnical Conference and Exhibition, Denver, 30 October-2 November. http://dx.doi.org/10.2118/147355-MS.