Data processing: structural design – modeling – simulation – and em – Simulating nonelectrical device or system – Fluid
Reexamination Certificate
2004-11-23
2009-02-24
Rodriguez, Paul L (Department: 2123)
Data processing: structural design, modeling, simulation, and em
Simulating nonelectrical device or system
Fluid
C702S005000, C367S023000, C367S056000, C367S057000
Reexamination Certificate
active
07496488
ABSTRACT:
A multi-scale finite-volume (MSFV) method to solve elliptic problems with a plurality of spatial scales arising from single or multi-phase flows in porous media is provided. The method efficiently captures the effects of small scales on a coarse grid, is conservative, and treats tensor permeabilities correctly. The underlying idea is to construct transmissibilities that capture the local properties of a differential operator. This leads to a multi-point discretization scheme for a finite-volume solution algorithm. Transmissibilities for the MSFV method are preferably constructed only once as a preprocessing step and can be computed locally.
REFERENCES:
patent: 4821164 (1989-04-01), Swanson
patent: 5663928 (1997-09-01), De Bazelaire et al.
patent: 6106561 (2000-08-01), Farmer
patent: 6266619 (2001-07-01), Thomas et al.
patent: 6631202 (2003-10-01), Hale
patent: 2002/0013887 (2002-01-01), Ortoleva
patent: 2003/0028325 (2003-02-01), Roggero et al.
patent: 2003/0078733 (2003-04-01), Stone
patent: 2005/0273303 (2005-12-01), Flandrin et al.
patent: 2006/0277012 (2006-12-01), Ricard et al.
patent: WO 99/52048 (1999-10-01), None
patent: WO 99/57418 (1999-11-01), None
patent: WO 00/79423 (2000-12-01), None
patent: WO 01/06091 (2001-01-01), None
patent: WO 01/27755 (2001-04-01), None
patent: WO 01/27858 (2001-04-01), None
patent: WO 02/06857 (2002-01-01), None
Chien et al., SPE 16025, The Use of Vectorization and Parallel Processing for Reservoir Simulation, SPE Society of Petroleum Engineers, 1987, pp. 329-341, Society of Petroleum Engineers.
Durlofsky, Numerical Calculation of Equivalent Grid Block Permeability Tensors for Heterogeneous Porous Media, Water Resources Research, May 1991, pp. 699-708, vol. 27, No. 5, Paper No. 91WR00107, American Geophysical Union.
Durlofsky et al., A nonuniform coarsening approach for the scale-up of displacement processes in heterogeneous porous media, Advances in Water Resources, 1997, pp. 335-347, vol. 20, Nos. 5-6, Elsevier Science Ltd.
Hou et al., A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media, Journal of Computational Physics, (1997), pp. 169-189, 134, Article No. CP975682, Academic Press.
Lee et al., Finite Difference Simulation of Geologically Complex Reservoirs with Tensor Permeabilities, SPE Reservoir Evaluation & Engineering, Dec. 1998, pp. 567-574, Society of Petroleum Engineers.
Lee et al., SPE 51901, Implementation of a Flux-Continuous Finite Difference Method for Stratigraphic, Hexahedron Grids, pp. 1-11, Society of Petroleum Engineers, Inc., Feb. 14-17, 1999.
Wallstrom et al., SPE 51939, Application of a New Two-Phase Upscaling Technique to Realistic Reservoir Cross Sections, SPE International Society of Petroleum Engineers, 1999, pp. 451-462, Society of Petroleum Engineers, Inc.
Arbogast, Numerical Subgrid Upscaling of Two-Phase Flow in Porous Media, Technical Report, Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, Department of Mathematics, 2000, pp. 35-49, Springer.
Efendiev et al., Convergence of a Nonconforming Multiscale Finite Element Method, SIAM Journal of Numerical Analysis, Feb. 2000 to Mar. 2000, pp. 888-910, vol. 37, No. 3, Society for Industrial and Applied Mathematics.
Arbogast et al., SPE 66375, Numerical Subgrid Upscaling for Waterflood Simulations, SPE International Society of Petroleum Engineers, 2001, pp. 1-14, Society of Petroleum Engineers, Inc.
Christie et al., SPE 66599, Tenth SPE Comparative Solution Project: A Comparison of Upscaling Techniques, SPE International Society of Petroleum Engineers 2001, pp. 1-13, Society of Petroleum Engineers, Inc.
Jenny et al., SPE 66357, Modeling Flow in Geometrically Complex Reservoirs Using Hexahedral Multi-block Grids, SPE International Society of Petroleum Engineers, 2001, pp. 1-10, Society of Petroleum Engineers Inc.
Efendiev et al., Multiscale finite element for problems with highly oscillatory coefficients, Numerische Mathematik, pp. 459-486, 90, Digital Object Identifier (DOI) 10.1007/s002110100274, Jun. 7, 2001.
Chen et al., A Mixed Multiscale Finite Element Method for Elliptic Problems with Oscillating Coefficients, Mathematics of Computation, Jun. 2002, pp. 541-576, vol. 72, No. 242, S 0025-5718(02)01441-2, American Mathematical Society.
Jenny Patrick
Lee Seong
Tchelepi Hamdi A.
Chevron U.S.A. Inc.
ETH Zurich
Janakiraman Nithya
Northcutt Christopher D.
Rodriguez Paul L
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