메뉴 건너뛰기




Volumn 26, Issue 10, 2010, Pages

Effective solution of nonlinear subsurface flow inverse problems in sparse bases

Author keywords

[No Author keywords available]

Indexed keywords

ACCURATE PREDICTION; COMPACT REPRESENTATION; DYNAMIC FLOWS; EFFECTIVE SOLUTION; FLOW BEHAVIORS; FLUID FLOW; FOURIER; GEOLOGIC FORMATIONS; HYDRAULIC PROPERTIES; INVERSION ALGORITHM; NON-LINEAR DYNAMICS; NON-LINEAR INVERSE PROBLEM; NONUNIQUENESS; NUMERICAL STABILITIES; OIL RESERVOIRS; PARAMETER COMBINATION; PRIOR KNOWLEDGE; ROCK PERMEABILITY; ROCK PROPERTIES; SOLUTION PROCEDURE; SPARSE BASIS; SPARSE SOLUTIONS; SPATIAL DISTRIBUTION; SUBSURFACE ENVIRONMENT; SUBSURFACE FLOW; TRANSFORM DOMAIN; UNKNOWN PARAMETERS; WATERFLOODING;

EID: 78049443351     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/26/10/105016     Document Type: Article
Times cited : (46)

References (61)
  • 1
    • 22244466097 scopus 로고    scopus 로고
    • Efficient history matching using a multiscale technique
    • (Woodlands, Texas, 31 January-2 February 2005) paper SPE 92758
    • Aanonsen S I 2005 Efficient history matching using a multiscale technique Proc. 2005 SPE Reservoir Simulation Symp. (Woodlands, Texas, 31 January-2 February 2005) paper SPE 92758
    • (2005) Proc. 2005 SPE Reservoir Simulation Symp.
    • Aanonsen, S.I.1
  • 2
    • 84890007901 scopus 로고    scopus 로고
    • An introduction to the numerics of flow in porous media using Matlab
    • ed G Hasle, K-A Lie and E Quak (Springer)
    • Aarnes J E, Gimse T and Lie K A 2007 An introduction to the numerics of flow in porous media using Matlab Geometric Modeling, Numerical Simulation, and Optimization ed G Hasle, K-A Lie and E Quak (Springer) pp 265-306
    • (2007) Geometric Modeling, Numerical Simulation, and Optimization , pp. 265-306
    • Aarnes, J.E.1    Gimse, T.2    Lie, K.A.3
  • 3
    • 84896291190 scopus 로고    scopus 로고
    • Fast sequential implicit porous media flow simulations using multiscale finite elements and reordering of cells for solution of nonlinear transport equation
    • (Amsterdam, The Netherlands, 4-7 September)
    • Aarnes J E, Krogstad S, Lie K A and Natvig J R 2006 Fast sequential implicit porous media flow simulations using multiscale finite elements and reordering of cells for solution of nonlinear transport equation 10th European Conf. on the Mathematrics of Oil Recovery (Amsterdam, The Netherlands, 4-7 September)
    • (2006) 10th European Conf. on the Mathematrics of Oil Recovery
    • Aarnes, J.E.1    Krogstad, S.2    Lie, K.A.3    Natvig, J.R.4
  • 5
    • 33746129830 scopus 로고    scopus 로고
    • Pilot points method incorporating prior information, for solving the groundwater flow inverse problem
    • Alcolea A, Carrera J and Medina A 2006 Pilot points method incorporating prior information, for solving the groundwater flow inverse problem. Adv. Water Resour. 29 1678-89
    • (2006) Adv. Water Resour. , vol.29 , pp. 1678-1689
    • Alcolea, A.1    Carrera, J.2    Medina, A.3
  • 11
    • 34249687049 scopus 로고    scopus 로고
    • Sparsity and incoherence in compressive sampling
    • Candès E and Romberg J 2007 Sparsity and incoherence in compressive sampling Inverse problems 23 969-85
    • (2007) Inverse Problems , vol.23 , pp. 969-985
    • Candès, E.1    Romberg, J.2
  • 12
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • Candès E, Romberg J and Tao T 2006 Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information IEEE Trans. Inf. Theory 52 489-509
    • (2006) IEEE Trans. Inf. Theory , vol.52 , pp. 489-509
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 13
    • 33947416035 scopus 로고    scopus 로고
    • Near optimal signal recovery from random projections: Universal encoding strategies?
    • Candes E and Tao T 2006 Near optimal signal recovery from random projections: universal encoding strategies? IEEE Trans. Inf. Theory 52 5406-25
    • (2006) IEEE Trans. Inf. Theory , vol.52 , pp. 5406-5425
    • Candes, E.1    Tao, T.2
  • 15
    • 0000342150 scopus 로고
    • State of the art of the inverse problem applied to the flow and solute transport problems
    • (Dordrecht: D Reidel)
    • Carrera J 1987 State of the art of the inverse problem applied to the flow and solute transport problems Groundwater Flow and Quality Modeling NATO ASI Series (Dordrecht: D Reidel) pp 549-85
    • (1987) Groundwater Flow and Quality Modeling NATO ASI Series , pp. 549-85
    • Carrera, J.1
  • 16
    • 0022923351 scopus 로고
    • Estimation of aquifer parameters under transient and steady-state conditions: 1. Maximum, likelihood method incorporating prior information
    • Carrera J and Neuman S P 1986a Estimation of aquifer parameters under transient and steady-state conditions: 1. Maximum, likelihood method incorporating prior information Water Resour. Res. 22 199-210
    • (1986) Water Resour. Res. , vol.22 , pp. 199-210
    • Carrera, J.1    Neuman, S.P.2
  • 17
    • 0022923349 scopus 로고
    • Estimation of aquifer parameters under transient and steady-state conditions: 2. Uniqueness, stability and solution algorithms
    • Carrera J and Neuman S P 1986b Estimation of aquifer parameters under transient and steady-state conditions: 2. Uniqueness, stability and solution algorithms Water Resour. Res. 22 211-27
    • (1986) Water Resour. Res. , vol.22 , pp. 211-227
    • Carrera, J.1    Neuman, S.P.2
  • 18
    • 0022923343 scopus 로고
    • Estimation of aquifer parameters under transient and steady-state conditions: 3. Applications
    • Carrera J and Neuman S P 1986c Estimation of aquifer parameters under transient and steady-state conditions: 3. Applications Water Resour: Res. 22 228-42
    • (1986) Water Resour: Res. , vol.22 , pp. 228-242
    • Carrera, J.1    Neuman, S.P.2
  • 19
    • 34548724437 scopus 로고    scopus 로고
    • Exact reconstructions of sparse signals via nonconvex minimization
    • Chartrand R 2007 Exact reconstructions of sparse signals via nonconvex minimization IEEE Signal Process. Lett. 14 707-10
    • (2007) IEEE Signal Process. Lett. , vol.14 , pp. 707-710
    • Chartrand, R.1
  • 20
    • 44449127493 scopus 로고    scopus 로고
    • Restricted isometry properties and nonconvex compressive sensing
    • Chartrand R and Staneva V 2008 Restricted isometry properties and nonconvex compressive sensing Inverse Problem 24 035020
    • (2008) Inverse Problem , vol.24 , pp. 035020
    • Chartrand, R.1    Staneva, V.2
  • 23
  • 24
    • 0023525470 scopus 로고
    • Occam's inversion: A practical algorithm for generating smooth models from electromagnetic sounding data
    • Constable S, Parker R and Constable C 1987 Occam's inversion: a practical algorithm for generating smooth models from electromagnetic sounding data Geophysics 52 289-300
    • (1987) Geophysics , vol.52 , pp. 289-300
    • Constable, S.1    Parker, R.2    Constable, C.3
  • 26
    • 0000154967 scopus 로고
    • Interpretation of interference tests in a well field using geostatistical techniques to fit the permeability distribution in a reservoir model
    • ed Verly et al (Dordrecht: Reidel)
    • de Marsily G H, Lavedan G, Boucher M and Fasanino G 1984 Interpretation of interference tests in a well field using geostatistical techniques to fit the permeability distribution in a reservoir model Proc. Geostatistics for Natural Resources Characterization: Part 2 ed Verly et al (Dordrecht: Reidel) pp 831-49
    • (1984) Proc. Geostatistics for Natural Resources Characterization: Part 2 , pp. 831-49
    • De Marsily, G.H.1    Lavedan, G.2    Boucher, M.3    Fasanino, G.4
  • 27
    • 0037373555 scopus 로고    scopus 로고
    • Groundwater model calibration using pilot points and regularization
    • Doherty J 2003 Groundwater model calibration using pilot points and regularization Ground Water 41 170-7
    • (2003) Ground Water , vol.41 , pp. 170-177
    • Doherty, J.1
  • 29
    • 44449156252 scopus 로고    scopus 로고
    • History matching of petroleum reservoirs using a level set technique
    • Dorn O and Villegas R 2008 History matching of petroleum reservoirs using a level set technique Inverse Problems 24 035015
    • (2008) Inverse Problems , vol.24 , pp. 035015
    • Dorn, O.1    Villegas, R.2
  • 32
    • 17444413785 scopus 로고    scopus 로고
    • History matching problem in reservoir engineering using die propagation-backpropagation method
    • González-Rodríguez P, Kindelan M, Moscoso M and Dorn O 2005 History matching problem in reservoir engineering using die propagation-backpropagation method Inverse Problems 21 565-90
    • (2005) Inverse Problems , vol.21 , pp. 565-590
    • González-Rodríguez, P.1    Kindelan, M.2    Moscoso, M.3    Dorn, O.4
  • 35
    • 67349254470 scopus 로고    scopus 로고
    • A comparison of seven methods for the inverse modeling of groundwater flow and the characterisation of well catchments
    • doi:10.1016//j.advwatres.2009.02.011
    • Hendricks Franssen H J, Alcolea A, Riva M, Bakr M, van der Wiel N, Stauffer F and Guadagnini A 2009 A comparison of seven methods for the inverse modeling of groundwater flow and the characterisation of well catchments Adv. Water Resour. 32 851-72 doi:10.1016//j.advwatres.2009.02.011
    • (2009) Adv. Water Resour. , vol.32 , pp. 851-872
    • Hendricks Franssen, H.J.1    Alcolea, A.2    Riva, M.3    Bakr, M.4    Van Der Wiel, N.5    Stauffer, F.6    Guadagnini, A.7
  • 36
    • 0345953611 scopus 로고    scopus 로고
    • Conditioning mean steady state flow on hydraulic head and conductivity through geostatistical inversion
    • Hernandez A F, Neuman S P, Guadagnini A and Carrera J 2003 Conditioning mean steady state flow on hydraulic head and conductivity through geostatistical inversion Stoch. Environ. Res. Risk Assess. 17 329-38
    • (2003) Stoch. Environ. Res. Risk Assess. , vol.17 , pp. 329-338
    • Hernandez, A.F.1    Neuman, S.P.2    Guadagnini, A.3    Carrera, J.4
  • 37
    • 0000602632 scopus 로고
    • Permeability distribution from field pressure data
    • Jacquard P and Jain C 1965 Permeability distribution from field pressure data Soc. Pet. Eng. J. 5 281-94
    • (1965) Soc. Pet. Eng. J. , vol.5 , pp. 281-294
    • Jacquard, P.1    Jain, C.2
  • 38
    • 84896293841 scopus 로고    scopus 로고
    • Wavelet reconstruction of geologic facies from non-linear dynamic flow measurements
    • accepted
    • Jafarpour B 2010 Wavelet reconstruction of geologic facies from non-linear dynamic flow measurements IEEE Trans. GeoSci, Remote Sens. accepted
    • (2010) IEEE Trans. GeoSci, Remote Sens.
    • Jafarpour, B.1
  • 39
    • 77952885058 scopus 로고    scopus 로고
    • Compressed history matching: Exploiting transformdomain sparsity for regularization of nonlinear dynamic data integration problems
    • Jafarpour B, Goy al V K, Freeman W T and McLaughlin D B 2010 Compressed history matching : exploiting transformdomain sparsity for regularization of nonlinear dynamic data integration problems Math. Geosci. 42 1-27
    • (2010) Math. Geosci. , vol.42 , pp. 1-27
    • Jafarpour, B.1    Goyal, V.K.2    Freeman, W.T.3    McLaughlin, D.B.4
  • 40
    • 64949124599 scopus 로고    scopus 로고
    • Reservoir characterization with discrete cosine transform, part-1: Parameterization, part-2: History matching
    • Jafarpour B and McLaughlin. D B 2009 Reservoir characterization with discrete cosine transform, part-1: parameterization, part-2: history matching Soc. Pet. Eng. J. 14 182-201
    • (2009) Soc. Pet. Eng. J. , vol.14 , pp. 182-201
    • Jafarpour, B.1    McLaughlin, D.B.2
  • 41
    • 0001196728 scopus 로고
    • A rapid method for obtaining a two-dimensional reservoir description from well pressure response data
    • Jahns O J 1966 A rapid method for obtaining a two-dimensional reservoir description from well pressure response data Soc. Pet. Eng. J. 6 315-27
    • (1966) Soc. Pet. Eng. J. , vol.6 , pp. 315-327
    • Jahns, O.J.1
  • 43
    • 2442475242 scopus 로고    scopus 로고
    • Estimating flow parameter distributions using ground-penetrating radar and hydrological measurements during transient flow in the vadose zone
    • Kowalsky M B, Finsterle S and Rubin Y 2004 Estimating flow parameter distributions using ground-penetrating radar and hydrological measurements during transient flow in the vadose zone Adv. Water Resour. 27 583-99
    • (2004) Adv. Water Resour. , vol.27 , pp. 583-599
    • Kowalsky, M.B.1    Finsterle, S.2    Rubin, Y.3
  • 44
    • 0020969111 scopus 로고
    • Compact gravity inversion
    • Last B J and Kubik K 1983 Compact gravity inversion Geophysics 48 713-21
    • (1983) Geophysics , vol.48 , pp. 713-721
    • Last, B.J.1    Kubik, K.2
  • 46
    • 84966210236 scopus 로고
    • Multiresolution approximation and wavelet orthonormal bases of l2(r)
    • Mallat S 1989 Multiresolution approximation and wavelet orthonormal bases of l2(r) Trans. Am. Math. Soc. 315 69-88
    • (1989) Trans. Am. Math. Soc. , vol.315 , pp. 69-88
    • Mallat, S.1
  • 47
    • 0346334363 scopus 로고    scopus 로고
    • Estimation of heterogeneous aquifer parameters from piezometric head data using ridge functions and neural networks
    • Mantoglou A 2003 Estimation of heterogeneous aquifer parameters from piezometric head data using ridge functions and neural networks Stoch. Environ. Res. Risk Assess. 17 339-52
    • (2003) Stoch. Environ. Res. Risk Assess. , vol.17 , pp. 339-352
    • Mantoglou, A.1
  • 48
    • 0029667847 scopus 로고    scopus 로고
    • A reassessment of the groundwater inverse problem
    • McLaughlin D and Townley L 1996 A reassessment of the groundwater inverse problem Water Resour. Res. 32 1131-61
    • (1996) Water Resour. Res. , vol.32 , pp. 1131-1161
    • McLaughlin, D.1    Townley, L.2
  • 50
    • 34347230418 scopus 로고    scopus 로고
    • Three-dimensional source inversion of self-potential data
    • Minsley B J, Sogade J and Morgan F D 2007 Three-dimensional source inversion of self-potential data J. Geophys. Res. 112 B02202
    • (2007) J. Geophys. Res. , vol.112
    • Minsley, B.J.1    Sogade, J.2    Morgan, F.D.3
  • 51
    • 0029291966 scopus 로고
    • Sparse approximate solutions to linear systems
    • Natarajan B K 1995 Sparse approximate solutions to linear systems SIAM J. Comput. 24 227-34
    • (1995) SIAM J. Comput. , vol.24 , pp. 227-234
    • Natarajan, B.K.1
  • 53
    • 0029413406 scopus 로고
    • Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields: 1. Theory and computational experiments
    • Ramarao B S, Lavenue A M, de Marsily G H and Marietta M G 1995 Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields: 1. Theory and computational experiments Water Resour. Res. 31 475-93
    • (1995) Water Resour. Res. , vol.31 , pp. 475-493
    • Ramarao, B.S.1    Lavenue, A.M.2    De Marsily, G.H.3    Marietta, M.G.4
  • 54
    • 0030349281 scopus 로고    scopus 로고
    • Reparameterization techniques for generating reservoir descriptions conditioned to variograms and well-test pressure data
    • Reynolds A C, He N, Chu L and Oliver D S 1996 Reparameterization techniques for generating reservoir descriptions conditioned to variograms and well-test pressure data Soc. Pet. Eng. J. 1 413-26
    • (1996) Soc. Pet. Eng. J. , vol.1 , pp. 413-426
    • Reynolds, A.C.1    He, N.2    Chu, L.3    Oliver, D.S.4
  • 56
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • Tibshirani R 1996 Regression shrinkage and selection via the lasso J. R. Stat. Soc. B 58 267-88
    • (1996) J. R. Stat. Soc. , vol.B 58 , pp. 267-288
    • Tibshirani, R.1
  • 58
    • 43049138027 scopus 로고    scopus 로고
    • A view toward the future of subsurface characterization: CAT scanning groundwater basins
    • doi:10.1029/2007WR006375
    • Yeh T C J et al 2008 A view toward the future of subsurface characterization: CAT scanning groundwater basins Water Resour. Res. 44 W03301 doi:10.1029/2007WR006375
    • (2008) Water Resour. Res. , vol.44
    • Yeh, T.C.J.1
  • 59
    • 0022823154 scopus 로고
    • Review of parameter estimation procedures in groundwater hydrology: The inverse problem
    • Yeh W 1986 Review of parameter estimation procedures in groundwater hydrology: the inverse problem Water Resour. Res. 22 95-108
    • (1986) Water Resour. Res. , vol.22 , pp. 95-108
    • Yeh, W.1
  • 60
    • 67149139672 scopus 로고    scopus 로고
    • New advances in regularized inversion of gravity and electromagnetic data
    • Zhdanov M S 2009 New advances in regularized inversion of gravity and electromagnetic data Geophys. Prospect. 57 463-78
    • (2009) Geophys. Prospect. , vol.57 , pp. 463-478
    • Zhdanov, M.S.1
  • 61
    • 3042570260 scopus 로고    scopus 로고
    • Minimum support nonlinear parameterization in the solution of a 3D magnetotelluric inverse problem
    • Zhdanov M S and Tolstaya E 2004 Minimum support nonlinear parameterization in the solution of a 3D magnetotelluric inverse problem. Inverse Problems 20 937-52
    • (2004) Inverse Problems , vol.20 , pp. 937-952
    • Zhdanov, M.S.1    Tolstaya, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.