{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:24:55Z","timestamp":1772295895743,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":65,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540687825","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-68783-2_10","type":"book-chapter","created":{"date-parts":[[2007,6,8]],"date-time":"2007-06-08T09:14:17Z","timestamp":1181294057000},"page":"307-360","source":"Crossref","is-referenced-by-count":21,"title":["Modelling of Multiscale Structures in Flow Simulations for Petroleum Reservoirs"],"prefix":"10.1007","author":[{"given":"J\u00f8rg E.","family":"Aarnes","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vegard","family":"Kippe","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Knut-Andreas","family":"Lie","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alf Birger","family":"Rustad","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"3","key":"10_CR1","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1137\/030600655","volume":"2","author":"J.E. Aarnes","year":"2004","unstructured":"J.E. Aarnes. On the use of a mixed multiscale finite element method for greater flexibility and increased speed or improved accuracy in reservoir simulation. Multiscale Model. Simul., 2(3):421\u2013439, 2004.","journal-title":"Multiscale Model. Simul."},{"key":"10_CR2","unstructured":"J.E. Aarnes, T. Gimse, and K.-A. Lie. An introduction to the numerics of flow in porous media using Matlab. In this book."},{"issue":"3","key":"10_CR3","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1016\/j.advwatres.2004.10.007","volume":"28","author":"J.E. Aarnes","year":"2005","unstructured":"J.E. Aarnes, V. Kippe, and K.-A. Lie. Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels. Adv. Water Resour., 28(3):257\u2013271, 2005.","journal-title":"Adv. Water Resour."},{"issue":"2","key":"10_CR4","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1137\/050634566","volume":"5","author":"J. E. Aarnes","year":"2006","unstructured":"J. E. Aarnes, S. Krogstad, and K.-A. Lie. A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids. Multiscale Model. Simul., 5(2):337\u2013363, 2006.","journal-title":"Multiscale Model. Simul."},{"key":"10_CR5","unstructured":"J. E. Aarnes, S. Krogstad, and K.-A. Lie. Multiscale mixed\/mimetic methods on corner-point grids. Comput. Geosci., submitted."},{"key":"10_CR6","volume-title":"Proceedings of the 9th European Conference on the Mathematics of Oil Recovery","author":"J.E. Aarnes","year":"2004","unstructured":"J.E. Aarnes and K.-A. Lie. Toward reservoir simulation on geological grid models. In Proceedings of the 9th European Conference on the Mathematics of Oil Recovery. EAGE, Cannes, France, 2004."},{"key":"10_CR7","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1023\/B:TIPM.0000032735.57539.dc","volume":"57","author":"O. J. Arntzen","year":"2004","unstructured":"O. J. Arntzen. Higher-order terms in the capillary limit approximation of viscous-capillary flow. Transp. Porous Media, 57:17\u201334, 2004.","journal-title":"Transp. Porous Media"},{"key":"10_CR8","doi-asserted-by":"crossref","unstructured":"J.W. Barker and P. Dupouy. An analysis of dynamic pseudo relative permeability methods. In Proceedings of the 5th ECMOR conference, Leoben, Austria. 1996.","DOI":"10.3997\/2214-4609.201406870"},{"issue":"2","key":"10_CR9","doi-asserted-by":"crossref","first-page":"103","DOI":"10.2118\/22591-PA","volume":"2","author":"J.W. Barker","year":"1994","unstructured":"J.W. Barker and F.J. Fayers. Transport coefficients for compositional simulations with coarse grids in heterogeneous media. SPE Adv. Tech Series, 2(2):103\u2013112, 1994.","journal-title":"SPE Adv. Tech Series"},{"issue":"2","key":"10_CR10","doi-asserted-by":"crossref","first-page":"138","DOI":"10.2118\/35491-PA","volume":"12","author":"J.W. Barker","year":"1997","unstructured":"J.W. Barker and S. Thibeau. A critical review of the use of pseudorelative permeabilities for upscaling. SPE Reservoir Eng., 12(2):138\u2013143, 1997.","journal-title":"SPE Reservoir Eng."},{"issue":"4","key":"10_CR11","doi-asserted-by":"crossref","first-page":"455","DOI":"10.2118\/16754-PA","volume":"4","author":"S.H. Begg","year":"1989","unstructured":"S.H. Begg, R.R. Carter, and P. Dranfield. Assigning effective values to simulator gridblock parameters for heterogeneous reservoirs. SPE Reservoir Eng., 4(4):455\u2013463, 1989.","journal-title":"SPE Reservoir Eng."},{"key":"10_CR12","volume-title":"Asymptotic Analysis for Periodic Structures","author":"A. Benesoussan","year":"1978","unstructured":"A. Benesoussan, J.-L. Lions, and G. Papanicolaou. Asymptotic Analysis for Periodic Structures. Elsevier Science Publishers, Amsterdam, 1978."},{"key":"10_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-07233-2","volume-title":"Finite elements: Theory fast solvers and applications in solid mechanics","author":"D. Braess","year":"1997","unstructured":"D. Braess. Finite elements: Theory fast solvers and applications in solid mechanics. Cambridge University Press, Cambridge, 1997."},{"key":"10_CR14","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-4338-8","volume-title":"The mathematical theory of finite element methods","author":"S.C. Brenner","year":"1994","unstructured":"S.C. Brenner and L.R. Scott. The mathematical theory of finite element methods. Springer-Verlag, New York, 1994."},{"key":"10_CR15","series-title":"Computational Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-3172-1","volume-title":"Mixed and hybrid finite element methods","author":"F. Brezzi","year":"1991","unstructured":"F. Brezzi and M. Fortin. Mixed and hybrid finite element methods. Computational Mathematics. Springer-Verlag, New York, 1991."},{"issue":"2","key":"10_CR16","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/s11242-005-0619-7","volume":"62","author":"Y. Chen","year":"2006","unstructured":"Y. Chen and L.J. Durlofsky. Adaptive local-global upscaling for general flow scenarios in heterogeneous formations. Transp. Porous Media, 62(2):157\u2013185, 2006","journal-title":"Transp. Porous Media"},{"key":"10_CR17","doi-asserted-by":"publisher","first-page":"1041","DOI":"10.1016\/S0309-1708(03)00101-5","volume":"26","author":"Y. Chen","year":"2003","unstructured":"Y. Chen, L.J. Durlofsky, M. Gerritsen, and X.H. Wen. A coupled local-global upscaling approach for simulationg flow in highly heterogeneous formations. Adv. Water Resour., 26:1041\u20131060, 2003.","journal-title":"Adv. Water Resour."},{"key":"10_CR18","doi-asserted-by":"publisher","first-page":"541","DOI":"10.1090\/S0025-5718-02-01441-2","volume":"72","author":"Z. Chen","year":"2003","unstructured":"Z. Chen and T.Y. Hou. A mixed multiscale finite element method for elliptic problems with oscillating coefficients. Math. Comp., 72:541\u2013576, 2003.","journal-title":"Math. Comp."},{"issue":"4","key":"10_CR19","doi-asserted-by":"crossref","first-page":"308","DOI":"10.2118\/72469-PA","volume":"4","author":"M. A. Christie","year":"2001","unstructured":"M. A. Christie and M. J. Blunt. Tenth SPE comparative solution project: A comparison of upscaling techniques. SPE Reservoir Eval. Eng., 4(4):308\u2013317, 2001. url: www.spe.org\/csp.","journal-title":"SPE Reservoir Eval. Eng."},{"key":"10_CR20","doi-asserted-by":"crossref","first-page":"1004","DOI":"10.2118\/37324-JPT","volume":"48","author":"M.A. Christie","year":"1996","unstructured":"M.A. Christie. Upscaling for reservoir simulation. JPT J. Pet. Tech., 48:1004\u20131010, 1996.","journal-title":"JPT J. Pet. Tech."},{"issue":"5","key":"10_CR21","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1029\/91WR00107","volume":"27","author":"L.J. Durlofsky","year":"1991","unstructured":"L.J. Durlofsky. Numerical calculations of equivalent gridblock permeability tensors for heterogeneous porous media. Water Resour. Res., 27(5):699\u2013708, 1991.","journal-title":"Water Resour. Res."},{"issue":"4","key":"10_CR22","doi-asserted-by":"crossref","first-page":"474","DOI":"10.2118\/37987-PA","volume":"2","author":"L.J. Durlofsky","year":"1997","unstructured":"L.J. Durlofsky. Use of higher moments for the description of upscaled, process independent relative permeabilities. SPE J., 2(4):474\u2013484, 1997.","journal-title":"SPE J."},{"key":"10_CR23","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1023\/A:1011593901771","volume":"2","author":"L.J. Durlofsky","year":"1998","unstructured":"L.J. Durlofsky. Coarse scale models of two-phase flow in heterogeneous reservoirs: Volume averaged equations and their relation to existing upscaling techniques. Comput. Geosci., 2:73\u201392, 1998.","journal-title":"Comput. Geosci."},{"key":"10_CR24","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1016\/S0309-1708(96)00053-X","volume":"20","author":"L.J. Durlofsky","year":"1997","unstructured":"L.J. Durlofsky, R.C. Jones, and W.J. Milliken. A nonuniform coarsening approach for the scale-up of displacement processes in heterogeneous porous media. Adv. Water Resour., 20:335\u2013347, 1997.","journal-title":"Adv. Water Resour."},{"key":"10_CR25","unstructured":"Y. Efendiev. The Multiscale Finite Element Method and its Applications. PhD thesis, California Institute of Technology, 1999."},{"key":"10_CR26","doi-asserted-by":"publisher","first-page":"1128","DOI":"10.1029\/2000WR000190","volume":"38","author":"Y. Efendiev","year":"2002","unstructured":"Y. Efendiev and L.J. Durlofsky. Numerical modeling of subgrid heterogeneity in two phase flow simulations. Water Resour. Res., 38:1128, 2002.","journal-title":"Water Resour. Res."},{"key":"10_CR27","doi-asserted-by":"publisher","first-page":"504","DOI":"10.1137\/S1540345902413693","volume":"1","author":"Y. Efendiev","year":"2003","unstructured":"Y. Efendiev and L.J. Durlofsky. A generalized convection-diffusion model for subgrid transport in porous media. Multiscale Model. Simul., 1:504\u2013526, 2003.","journal-title":"Multiscale Model. Simul."},{"issue":"8","key":"10_CR28","doi-asserted-by":"publisher","first-page":"2031","DOI":"10.1029\/2000WR900141","volume":"36","author":"Y. Efendiev","year":"2000","unstructured":"Y. Efendiev, L.J. Durlofsky, and S.H. Lee. Modeling of subgrid effects in coarse scale simulations of transport in heterogeneous porous media. Water Resour. Res., 36(8):2031\u20132041, 2000.","journal-title":"Water Resour. Res."},{"issue":"1","key":"10_CR29","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1016\/j.jcp.2006.05.015","volume":"220","author":"Y. Efendiev","year":"2006","unstructured":"Y. Efendiev, V. Ginting, T. Hou, and R. Ewing. Accurate multiscale finite element methods for two-phase flow simulations. J. Comp. Phys., 220(1):155\u2013174, 2006.","journal-title":"J. Comp. Phys."},{"key":"10_CR30","first-page":"297","volume":"4","author":"Y. Efendiev","year":"2005","unstructured":"Y. Efendiev and B. Popov. On homogenization of nonlinear hyperbolic equations. Commun. Pure and Appl. Anal., 4:297\u2013311, 2005.","journal-title":"Commun. Pure and Appl. Anal."},{"issue":"3","key":"10_CR31","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1023\/A:1006765424927","volume":"41","author":"S. Ekrann","year":"2000","unstructured":"S. Ekrann and J. O. Aasen. Steady-state upscaling. Transp. Porous Media, 41(3):245\u2013262, 2000.","journal-title":"Transp. Porous Media"},{"key":"10_CR32","unstructured":"M.H. Garcia, A.G. Journel, and K. Aziz. Automatic grid generation and adjustment method for modeling reservoir heterogeneities. Technical report, Stanford Center for Reservoir Forecasting, 1990."},{"key":"10_CR33","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1023\/A:1011535210857","volume":"3","author":"Y. Gautier","year":"1999","unstructured":"Y. Gautier, M. J. Blunt, and M. A. Christie. Nested gridding and streamline-based simulation for fast reservoir performance prediction. Comput. Geosci., 3:295\u2013320, 1999.","journal-title":"Comput. Geosci."},{"key":"10_CR34","volume-title":"A Stochastic Approach to the Simulation of Block Conductivity Conditioned Upon Data Measured at a Smaller Scale","author":"J.J. G\u00f3mez-Hern\u00e1ndez","year":"1991","unstructured":"J.J. G\u00f3mez-Hern\u00e1ndez. A Stochastic Approach to the Simulation of Block Conductivity Conditioned Upon Data Measured at a Smaller Scale. PhD thesis, Stanford University, CA, 1991."},{"key":"10_CR35","doi-asserted-by":"crossref","unstructured":"R.E. Guzman, D. Giordano, F.J. Fayers, A. Godi, and K. Aziz. Evaluation of dynamic pseudo functions for reservoir simulation. In SPE Annual Technical Conference and Exhibition, 6\u20139 October, Denver, Colorado, SPE 35157, 1996.","DOI":"10.2118\/35157-MS"},{"key":"10_CR36","volume-title":"Reservoir Characterization II","author":"T.A. Hewett","year":"1991","unstructured":"T.A. Hewett and R.A. Behrens. Scaling laws in reservoir simulation and their use in a hybrid finite difference\/streamtube approach to simulating the effects of permeability heterogeneity. In L.W. Lake, H.B. Caroll, and T.C. Wesson, editors, Reservoir Characterization II. Academic Press, San Diego, Ca, 1991."},{"issue":"3","key":"10_CR37","doi-asserted-by":"crossref","first-page":"293","DOI":"10.2118\/51269-PA","volume":"3","author":"T.A. Hewett","year":"1998","unstructured":"T.A. Hewett, K. Suzuki, and M.A. Christie. Analytical calculation of coarse-grid corrections for use in pseudofunctions. SPE J., 3(3):293\u2013304, 1998.","journal-title":"SPE J."},{"issue":"2","key":"10_CR38","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1023\/A:1006657515753","volume":"40","author":"L. Holden","year":"2000","unstructured":"L. Holden and B.F. Nielsen. Global upscaling of permeability in heterogeneous reservoirs; the output least squares (ols) method. Trans. Porous Media, 40(2):115\u2013143, 2000.","journal-title":"Trans. Porous Media"},{"key":"10_CR39","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1920-0","volume-title":"Homogenization and Porous Media","author":"U. Hornung","year":"1997","unstructured":"U. Hornung. Homogenization and Porous Media. Springer-Verlag, New York, 1997."},{"key":"10_CR40","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1006\/jcph.1997.5682","volume":"134","author":"T.Y. Hou","year":"1997","unstructured":"T.Y. Hou and X-H. Wu. A multiscale finite element method for elliptic problems in composite materials and porous media. J. Comput. Phys., 134:169\u2013189, 1997.","journal-title":"J. Comput. Phys."},{"key":"10_CR41","doi-asserted-by":"crossref","unstructured":"H. Jacks, O.J.E. Smith, and C.C. Mattax. The modeling of a three-dimensional reservoir with a two-dimensional reservoir simulator-the use of dynamic pseudo functions. SPE J., pages 175\u2013185, 1973.","DOI":"10.2118\/4071-PA"},{"key":"10_CR42","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/S0021-9991(03)00075-5","volume":"187","author":"P. Jenny","year":"2003","unstructured":"P. Jenny, S. H. Lee, and H. A. Tchelepi. Multi-scale finite-volume method for elliptic problems in subsurface flow simulation. J. Comput. Phys., 187:47\u201367, 2003.","journal-title":"J. Comput. Phys."},{"issue":"1","key":"10_CR43","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1137\/030600795","volume":"3","author":"P. Jenny","year":"2004","unstructured":"P. Jenny, S. H. Lee, and H. A. Tchelepi. Adaptive multiscale finite-volume method for multiphase flow and transport in porous media. Multiscale Model. Simul., 3(1):50\u201364, 2004.","journal-title":"Multiscale Model. Simul."},{"key":"10_CR44","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-84659-5","volume-title":"Homogenization of differential operators and integral functionals","author":"V.V. Jikov","year":"1994","unstructured":"V.V. Jikov, S.M. Kozlov, and O.A. Oleinik. Homogenization of differential operators and integral functionals. Springer-Verlag, New York, 1994."},{"key":"10_CR45","doi-asserted-by":"crossref","unstructured":"A.G. Journel, C.V. Deutsch, and A.J. Desbarats. Power averaging for block effective permeability. In SPE California Regional Meeting, 2\u20134 April, Oakland, California, SPE 15128, 1986.","DOI":"10.2118\/15128-MS"},{"key":"10_CR46","doi-asserted-by":"crossref","unstructured":"M.J. King, D.G. MacDonald, S.P. Todd, and H. Leung. Application of novel upscaling approaches to the Magnus and Andrew reservoirs. In European Petroleum Conference, 20\u201322 October, The Hague, Netherlands, SPE 50643, 1998.","DOI":"10.2118\/50643-MS"},{"key":"10_CR47","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/BF00134741","volume":"4","author":"P.R. King","year":"1989","unstructured":"P.R. King. The use of renormalization for calculating effective permeability. Transp. Porous Media, 4:37\u201358, 1989.","journal-title":"Transp. Porous Media"},{"key":"10_CR48","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1007\/BF00624460","volume":"12","author":"P.R. King","year":"1993","unstructured":"P.R. King, A.H. Muggeridge, and W.G. Price. Renormalization calculations of immiscible flow. Transp. Porous Media, 12:237\u2013260, 1993.","journal-title":"Transp. Porous Media"},{"key":"10_CR49","unstructured":"V. Kippe, J. E. Aarnes, and K.-A. Lie. A comparison of multiscale methods for elliptic problems in porous media flow. Comput. Geosci., submitted."},{"key":"10_CR50","doi-asserted-by":"crossref","unstructured":"A. T. Kumar and G. R. Jerauld. Impacts of scale-up on fluid flow from plug to gridblock scale in reservoir rock. In SPE\/DOE Improved Oil Recovery Symposium, 21\u201324 April, Tulsa, Oklahoma, SPE 35452, 1996.","DOI":"10.2118\/35452-MS"},{"key":"10_CR51","doi-asserted-by":"crossref","unstructured":"J.R. Kyte and D.W. Berry. New pseudofunctions to control numerical dispersion. SPE J., pages 269\u2013276, August 1975.","DOI":"10.2118\/5105-PA"},{"key":"10_CR52","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1016\/0309-1708(94)90033-7","volume":"17","author":"P. Langlo","year":"1994","unstructured":"P. Langlo and Magne S. Espedal. Macrodispersion for two-phase, immiscible flow in porous media. Adv. Water Resour., 17:291\u2013316, 1994.","journal-title":"Adv. Water Resour."},{"key":"10_CR53","doi-asserted-by":"publisher","first-page":"92","DOI":"10.1023\/A:1011541917701","volume":"2","author":"B.F. Nielsen","year":"1998","unstructured":"B.F. Nielsen and A. Tveito. An upscaling method for one-phase flow in heterogeneous reservoirs; a Weighted Output Least Squares (WOLS) approach. Comput. Geosci., 2:92\u2013123, 1998.","journal-title":"Comput. Geosci."},{"issue":"4","key":"10_CR54","doi-asserted-by":"crossref","first-page":"324","DOI":"10.2118\/52052-PA","volume":"3","author":"P.-E. \u00d8ren","year":"1998","unstructured":"P.-E. \u00d8ren, S. Bakke, and O.J. Arntzen. Extending predictive capabilities to network models. SPE J., 3(4):324\u2013336, 1998.","journal-title":"SPE J."},{"key":"10_CR55","doi-asserted-by":"crossref","unstructured":"G.E. Pickup and K.S. Sorbie. Development and application of a new two-phase scaleup method based on tensor permeabilities. SPE J., pages 369\u2013382, 1996.","DOI":"10.2118\/28586-PA"},{"key":"10_CR56","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1007\/BFb0064470","volume-title":"Mathematical Aspects of Finite Element Methods","author":"P.A. Raviart","year":"1977","unstructured":"P.A. Raviart and J.M. Thomas. A mixed finite element method for second order elliptic equations. In I. Galligani and E. Magenes, editors, Mathematical Aspects of Finite Element Methods, pages 292\u2013315. Springer-Verlag, Berlin \u2014 Heidelberg \u2014 New York, 1977."},{"key":"10_CR57","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1016\/S0309-1708(96)00050-4","volume":"20","author":"P. Renard","year":"1997","unstructured":"P. Renard and G. de Marsily. Calculating equivalent permeability. Adv. Water Resour., 20:253\u2013278, 1997.","journal-title":"Adv. Water Resour."},{"key":"10_CR58","doi-asserted-by":"crossref","unstructured":"E.H. Smith. The influence of small scale heterogeneity on average relative permeability. In L.W. Lake, H.B. Carroll, and T.C. Wesson, editors, Reservoar Characterization II. Academic Press, 1991.","DOI":"10.1016\/B978-0-12-434066-4.50007-2"},{"key":"10_CR59","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1023\/A:1011850618324","volume":"45","author":"K. D. Stephen","year":"2001","unstructured":"K. D. Stephen, G. E. Pickup, and K. S. Sorbie. The local analysis of changing force balances in immiscible incompressible two-phase flow. Transp. Porous Media, 45:63\u201388, 2001.","journal-title":"Transp. Porous Media"},{"key":"10_CR60","doi-asserted-by":"crossref","unstructured":"H.L. Stone. Rigorous black-oil pseudo functions. In SPE Symposium on Reservoir Simulation, 17\u201320 February, Anaheim, California, SPE 21207, 1991.","DOI":"10.2118\/21207-MS"},{"key":"10_CR61","doi-asserted-by":"crossref","unstructured":"G.W. Thomas. An extension of pseudofunction concepts. In SPE Reservoir Simulation Symposium, 15\u201318 November, San Francisco, California, SPE 12274, 1983.","DOI":"10.2118\/12274-MS"},{"key":"10_CR62","doi-asserted-by":"publisher","first-page":"ix","DOI":"10.1016\/S0022-1694(96)80030-8","volume":"183","author":"X.-H. Wen","year":"1996","unstructured":"X.-H. Wen and J.J. G\u00f3mez-Hern\u00e1ndez. Upscaling hydraulic conductivities in heterogeneous media: An overview. J. Hydrol., 183:ix\u2013xxxii, 1996.","journal-title":"J. Hydrol."},{"key":"10_CR63","unstructured":"O. Wiener. Abhandlungen der Matematisch. PhD thesis, Physischen Klasse der K\u00f6niglichen S\u00e4chsischen Gesellscaft der Wissenschaften, 1912."},{"issue":"2","key":"10_CR64","doi-asserted-by":"publisher","first-page":"185","DOI":"10.3934\/dcdsb.2002.2.185","volume":"2","author":"X.H. Wu","year":"2002","unstructured":"X.H. Wu, Y. Efendiev, and T.Y. Hou. Analysis of upscaling absolute permeability. Discrete Contin. Dyn. Syst. Ser. B, 2(2):185\u2013204, 2002.","journal-title":"Discrete Contin. Dyn. Syst. Ser. B"},{"key":"10_CR65","doi-asserted-by":"crossref","unstructured":"P. Zhang, G. E. Pickup, and M. A. Christie. A new upscaling approach for highly heterogenous reservoirs. In SPE Reservoir Simulation Symposium, 31 January\u20132 Feburary, The Woodlands, Texas, SPE 93339, 2005.","DOI":"10.2118\/93339-MS"}],"container-title":["Geometric Modelling, Numerical Simulation, and Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-68783-2_10.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,3]],"date-time":"2021-05-03T00:13:21Z","timestamp":1620000801000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-68783-2_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540687825"],"references-count":65,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-68783-2_10","relation":{},"subject":[]}}