% This file was created with JabRef 2.6. % Encoding: UTF-8 @BOOK{DEBOOR1978, title = {{A Practical Guide to Splines}}, publisher = {Springer}, year = {1978}, author = {C. {de Boor}}, edition = {1} } @ARTICLE{VANGENUCHTEN1980, author = {M. T. {van Genuchten}}, title = {{A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils}}, journal = {Journal of the Soil Science Society of America}, year = {1980}, pages = {892--898}, number = {44}, key = {Gen80} } @PHDTHESIS{A3:oelmann:2006a, author = {\"Olmann, Ulrich}, title = {{Behandlung anisotroper Mobilit\"aten als Resultat von Upscalingverfahren mittels Mehrpunktflu{\ss}approximationen}}, school = {Institut f\"ur Wasserbau, Universit\"at Stuttgart}, year = {to be published 2006} } @PHDTHESIS{wolff2013a, author = {Markus Wolff}, title = {{ Multi-scale modeling of two-phase flow in porous media including capillary pressure effects}}, school = {Institut f\"ur Wasser- und Umweltsystemmodellierung, Universit\"at Stuttgart}, url = {http://elib.uni-stuttgart.de/opus/volltexte/2013/8661/}, year = {2013} } @INBOOK{wolff2013b, author={Wolff, Markus and Cao, Yufei and Flemisch, Bernd and Helmig, Rainer and Wohlmuth, Barbara}, title={Multi-point flux approximation L-method in 3D: numerical convergence and application to two-phase flow through porous media}, publisher = {De Gruyter}, year={2013}, pages={39--80}, editor={P. Bastian, J. Kraus, R. Scheichl, and M. Wheeler}, series = {Simulation of Flow in Porous Media: Applications in Energy and Environment} } @MISC{A3:oelmann:2006b, author = {\"Olmann, U. and Aavatsmark, I. and Helmig, R.}, title = {{Buckley-Leverett heterogen --- Konstruktion der L\"osung mit der Charakteristikenmethode}}, howpublished = {Preprint-Reihe des SFB404}, month = {March}, year = {2006}, note = {2006/05} } @ARTICLE{A3:aavatsmark:2002, author = {Aavatsmark, Ivar}, title = {{An introduction to multipoint flux approximations for quadrilateral grids}}, journal = {Computational Geosciences}, year = {2002}, volume = {6}, pages = {405--432} } @ARTICLE{A3:aavatsmark:1996, author = {Aavatsmark, I. and Barkve, T. and B{\o}e, {\O}. and Mannseth, T.}, title = {{Discretization on Non-Orthogonal, Quadrilateral Grids for Inhomogeneous Anisotropic Media}}, journal = {Journal of Computational Physics}, year = {1996}, volume = {127}, pages = {2--14} } @INPROCEEDINGS{A3:aavatsmark:1994, author = {Aavatsmark, I. and Barkve, T. and B{\o}e, {\O}. and Mannseth, T.}, title = {{Discretization on non-orthogonal, curvilinear grids for multiphase flow}}, booktitle = {Proc.\ of the 4th European Conf.\ on the Mathematics of Oil Recovery}, year = {1994}, address = {Norway} } @ARTICLE{A3:acosta:2006, author = {Acosta, M. and Merten, C. and Eigenberger, G. and Class, H. and Helmig, R. and Thoben, B. and M\"uller-Steinhagen, H.}, title = {{Modeling non-isothermal two-phase multicomponent flow in the cathode of PEM fuel cells}}, journal = {Journal of Power Sources}, year = {2006}, pages = {in print}, url={https://dx.doi.org/10.1016/j.jpowsour.2005.12.068} } @article{adams2002, title={{Equations of state for basin geofluids: algorithm review and intercomparison for brines}}, author={Adams, J. J. and Bachu, S.}, journal={Geofluids}, volume={2}, number={4}, pages={257--271}, year={2002}, publisher={Wiley Online Library}, url = {https://dx.doi.org/10.1046/j.1468-8123.2002.00041.x} } @inproceedings{adebiyi2003, title={{Formulations for the thermodynamic properties of pure substances}}, author={Adebiyi, G. A.}, booktitle={ASME 2003 International Mechanical Engineering Congress and Exposition}, pages={183--188}, year={2003}, organization={American Society of Mechanical Engineers}, url = {https://dx.doi.org/10.1115/IMECE2003-41299} } @ARTICLE{AGRAWAL2001, author = {K. Agrawal and P. N. Loezos and M. Syamlal and S. Sundaresan}, title = {{The Role of Meso-Scale Structures in Rapid Gas-Solid Flows}}, journal = {Journal of Fluid Mechanics}, year = {2001}, pages = {151--185}, number = {445} } @INPROCEEDINGS{A3:allan:1998, author = {Allan, J. and Ewing, J. and Helmig, R. and Braun, J.}, title = {{Scale effects in multiphase flow modeling}}, booktitle = {1. International conference on remediation of chlorinated and recalcitrant compounds}, year = {1998}, editor = {Wickramanayake, G.B. and Hinchee, R.E.}, address = {Monterey, California, USA}, month = {18th--21st of may}, publisher = {Battelle Press, Columbus, OH, USA} } @article{ambrose1989, title={{Vapour pressures up to their critical temperatures of normal alkanes and 1-alkanols}}, author={Ambrose, D. and Walton, J.}, journal={Pure and Applied Chemistry}, volume={61}, number={8}, pages={1395--1403}, year={1989}, url={https://dx.doi.org/10.1351/pac198961081395} } @BOOK{ANDERSON-CFD-95, title = {{Computational Fluid Mechanics}}, publisher = {McGraw-Hill}, year = {1995}, author = {J. D. Anderson}, edition = {1}, subtitle = {The Basics with Applications} } @BOOK{ARFKEN2005, title = {{Mathematical Methods for Physicists}}, publisher = {Academic Press}, year = {2005}, author = {G. B. Arfken and H. J. Weber}, edition = {6} } @BOOK{A3:aziz:1979, title = {{Petroleum Reservoir Simulation}}, publisher = {Applied Science Publishers, London}, year = {1979}, author = {Aziz, K. and Settari, A.} } @MISC{GSIMSKRIPT, author = {P. Bastian}, title = {{Grundlagen der Modellbildung und Simulation}}, howpublished = {University of Stuttgart, Lecture Notes}, year = {2007} } @MISC{NUMPDESKRIPT, author = {P. Bastian}, title = {{Numerische L\"{o}sung partieller Differentialgleichungen}}, howpublished = {University of Stutt\-gart, Lecture Notes}, year = {2007} } @BOOK{BEAR1972, title = {Dynamics of Fluids in Porous Media}, author = {Bear, Jacob}, isbn = {9780486656755}, series = {Dover Civil and Mechanical Engineering Series}, year = {1972}, publisher = {Dover} } @BOOK{BASTIAN1999, title = {{Numerical Computation of Multiphase Flows in Porous Media}}, publisher = {Habilitationsschrift, University of Kiel}, year = {1999}, author = {P. Bastian}, edition = {1} } @INBOOK{A3:bastian:1997, pages = {27--40}, title = {{UG: A flexible software toolbox for solving partial differential equations.}}, publisher = {Springer Verlag}, year = {1997}, author = {Bastian, P. and Birken, K. and Lang, S. and Johannsen, K. and Neuss, N. and Rentz-Reichert, H. and Wieners, C.}, volume = {1}, series = {Computing and Visualization in Science} } @ARTICLE{BASTIAN2008, author = {P. Bastian and M. Blatt and A. Dedner and C. Engwer and R. Kl\"{o}fkorn and R. Kornhuber and M. Ohlberger and O. Sander}, title = {{A Generic Grid Interface For Parallel and Adaptive Scientific Computing. Part II: implementation and tests in {DUNE}}}, journal = {Computing}, year = {2008}, volume = {82}, pages = {121--138}, number = {2} } @INBOOK{A3:bastian:2000, pages = {52--71}, title = {{Numerical Simulation of Multiphase Flow in Fractured Porous Media.}}, publisher = {Springer Verlag}, year = {2000}, author = {Bastian, P. and Chen, Z. and Ewing, R. E. and Helmig, R. and Jakobs H. and Reichenberger V.}, series = {Lecture Notes in Physics, Chen, Ewing and Shi (eds.)} } @ARTICLE{A3:bastian:1999, author = {Bastian, P. and Helmig, R.}, title = {{Efficient Fully-Coupled Solution Techniques for Two Phase Flow in Porous Media. Parallel Multigrid Solution and Large Scale Computations}}, journal = {Advances in Water Resources}, year = {1999} } @ARTICLE{BASTIAN-HELMIG1999, author = {P. Bastian and R. Helmig}, title = {{Efficient Fully-Coupled Solution Techniques for Two Phase Flow in Porous Media. Parallel Multigrid Solution and Large Scale Computations}}, journal = {Advances in Water Resources}, year = {1999}, volume = {23}, pages = {199--216}, number = {3} } @article{batzle1992, title={{Seismic properties of pore fluids}}, author={Batzle, M. and Wang, Z.}, journal={Geophysics}, volume={57}, number={11}, pages={1396--1408}, year={1992}, publisher={Society of Exploration Geophysicists}, url={https://dx.doi.org/10.1190/1.1443207} } @ARTICLE{BEAUCHEMIN1995, author = {S. S. Beauchemin and J. L. Barron}, title = {{The computation of optical flow}}, journal = {ACM Computing Surveys}, year = {1995}, volume = {27}, pages = {433--466}, number = {3} } @ARTICLE{BELIAEV2001, author = {A. Y. Beliaev and S. M. Hassanizadeh}, title = {{A Theoretical Model of Hysteresis and Dynamic Effects in the Capillary Relation for Two-phase Flow in Porous Media}}, journal = {Transport in Porous Media}, year = {2001}, volume = {43}, pages = {487--510}, number = {3} } @PHDTHESIS{A3:bielinski:2006, author = {Bielinski, A.}, title = {{Numerical Simulation of CO$_2$ Sequestration in Geological Formations}}, school = {Institut f\"ur Wasserbau, Universit\"at Stuttgart}, year = {2006} } @ARTICLE{A3:Braun:2002, author = {Braun, C. and Helmig, R. and Manthey, S.}, title = {{Determination of constitutive relationships for two-phase flow processes in heterogeneous porous media with emphasis on the relative permeability-saturation-relationship}}, journal = {Journal of Contaminant Hydrology}, year = {2005} } @BOOK{BRONSTEIN-93, title = {{Taschenbuch der Mathematik}}, publisher = {Verlag Harri Deutsch}, year = {1993}, author = {I. N. Bronstein and K. A. Semendjajew and G. Musiol and H. M\"{u}hlig}, edition = {6} } @TECHREPORT{BROOKS1964, author = {R. H. Brooks and A. T. Corey.}, title = {{Hydraulic properties of porous media}}, institution = {Colorado State University, Fort Collins}, year = {1964}, note = {Hydrology Paper No. 3, 27 pp.} } @ARTICLE{BURDINE1953, author = {N. T. Burdine}, title = {{Relative permeability calculations from pore size distribution data}}, journal = {Transactions of the American Institute of Mining and Metallurgical Engineers}, year = {1953}, volume = {198}, pages = {71--78} } @INPROCEEDINGS{BURRI2006, author = {A. Burri and A. Dedner and R. Kl\"{o}fkorn and M. Ohlberger}, title = {{An efficient implementation of an adaptive and parallel grid in DUNE.}}, booktitle = {Computational Science and High Performance Computing II}, year = {2006}, volume = {91}, pages = {67--82}, publisher = {Springer} } @ARTICLE{CARMAN1937, author = {Carman, Philip C.}, title = {Fluid flow through granular beds}, journal = {Transactions, Institution of Chemical Engineers}, year = {1937}, volume = {15}, pages = {150--166}, number = {}, doi = {10.1016/S0263-8762(97)80003-2}, note = {reprinted in \emph{Chemical Engineering Research and Design}, 75:S32--S48, 1997} } @ARTICLE{Chen2000, author = {Z. Chen and Q. Guan and R. E. Ewing}, title = {{Analysis of a compositional model for fluid flow in porous media}, journal = {SIAM Journal on Applied Mathematics}}, year = {2000}, volume = {60}, pages = {747-777}, number = {3}, owner = {faigle} } @BOOK{CLASS2007, title = {{Models for Non-Isothermal Compositional Gas-Liquid Flow and Transport in Porous Media}}, publisher = {University of Stuttgart}, year = {2007}, author = {H. Class}, edition = {1} } @BOOK{A3:class:2001, title = {{Theorie und numerische Modellierung nichtisothermer Mehrphasenprozesse in NAPL-kontaminierten por\"osen Medien}}, publisher = {Institut f\"ur Wasserbau, Universit\"at Stuttgart}, year = {2001}, author = {Class, H.}, volume = {105}, series = {Mitteilungsheft} } @PHDTHESIS{CLASS2001, author = {H. Class}, title = {{Theorie und numerische Modellierung nichtisothermer Mehrphasenprozesse in NAPL-kontaminierten por\"{o}sen Medien.}}, school = {University of Stuttgart}, year = {2001} } @ARTICLE{A3:class:2002b, author = {Class, H. and Helmig, R.}, title = {{Numerical Simulation of Nonisothermal Multiphase Multicomponent Processes in Porous Media -- 2. Applications for the Injection of Steam and Air}}, journal = {Advances in Water Resources}, year = {2002}, volume = {25}, pages = {551--564} } @ARTICLE{A3:class:2002a, author = {Class, H. and Helmig, R. and Bastian, P.}, title = {{Numerical Simulation of Nonisothermal Multiphase Multicomponent Processes in Porous Media -- 1. An Efficient Solution Technique}}, journal = {Advances in Water Resources}, year = {2002}, volume = {25}, pages = {533--550} } @ARTICLE{A3:coats:1974, author = {Coats, K. H. and Chieh Chu, W. D. G. and Marcum, B. E.}, title = {{Three-dimensional simulation of steamflooding}}, journal = {Society of Petroleum Engineers Journal}, year = {1974}, month = {December} } @phdthesis{darcis2013, author = {Melanie Yvonne Darcis}, title = {Coupling models of different complexity for the simulation of CO2 storage in deep saline aquifers}, school = {Universit\"at Stuttgart}, year = {2013}, address = {Holzgartenstr. 16, 70174 Stuttgart}, language = {eng}, URL = {http://elib.uni-stuttgart.de/opus/volltexte/2013/8141}, ISBN = {978-3-942036-22-1}, } @MISC{DARCY1856, author = {H. Darcy}, title = {L{es Fontaines publiques de la ville de Dijon}}, howpublished = {Paris}, year = {1856}, key = {Dar1856} } % no doi or link available @book{daubert1989, title={{Physical and Thermodynamic Properties of Pure Chemicals: Design institute for physical property data, American institute of chemical engineers. vp}}, author={Daubert, T. E. and Danner, R. P.}, year={1989}, publisher={Hemisphere Publishing Corporation} } @ARTICLE{A3:deneef:1997, author = {De Neef, M. and Molenaar, J.}, title = {{Analysis of DNAPL infiltration in a Medium with a low-permeable lens}}, journal = {Computational Geosciences}, year = {1997}, volume = {1}, pages = {191-214} } @article{delshad1989, title={{Comparison of the three-phase oil relative permeability models}}, author={Delshad, M. and Pope, G. A.}, journal={Transport in Porous Media}, volume={4}, number={1}, pages={59--83}, year={1989}, publisher={Springer}, url={https://dx.doi.org/10.1007/BF00134742} } @ARTICLE{DITTERICH1996, author = {E. Ditterich}, title = {{Wirbel um den Bodenschutz}}, journal = {Umweltmagazin}, year = {1996}, pages = {46--48}, number = {4} } @article{duan2003, title={{An improved model calculating CO 2 solubility in pure water and aqueous NaCl solutions from 273 to 533 K and from 0 to 2000 bar}}, author={Duan, Z. and Sun, R.}, journal={Chemical geology}, volume={193}, number={3}, pages={257--271}, year={2003}, publisher={Elsevier}, url={https://dx.doi.org/10.1016/S0009-2541(02)00263-2} } @phdthesis{ebigbo2005, title={{Thermal effects of carbon dioxide sequestration in the subsurface}}, author={Ebigbo, A.}, year={2005}, school={Master’s thesis, Institut f{\"u}r Wasserbau, Universit{\"a}t Stuttgart}, url={https://www.hydrosys.uni-stuttgart.de/institut/hydrosys/publikationen/paper/Dipl_Anozie_Ebigbo.pdf} } @INPROCEEDINGS{A3:edwards:1994, author = {Edwards, M. G. and Rogers, C. F.}, title = {{A flux continuous scheme for the full tensor pressure equation}}, booktitle = {Proc.\ of the 4th European Conf.\ on the Mathematics of Oil Recovery}, year = {1994}, address = {Norway} } @PHDTHESIS{A3:emmert:1997, author = {Emmert, M.}, title = {{Numerische Simulation von isothermen/nichtisothermen Mehrphasenprozessen unter Ber\"ucksichtigung der Ver\"anderung der Fluideigenschaften}}, school = {Institut f\"ur Wasserbau, Universit\"at Stuttgart}, year = {1997} } @ARTICLE{A3:falta:1992, author = {Falta, R. W. and Pruess, K. and Javandel, I. and Witherspoon, P. A.}, title = {{Numerical Modeling of Steam Injection for the Removal of Nonaqueous Phase Liquids From the Subsurface. 1. Numerical Formulation}}, journal = {Water Resoures Research}, year = {1992}, volume = {28,2}, pages = {433--449} } @article{ferrell1967, title={{Diffusion coefficients of nitrogen and oxygen in water}}, author={Ferrell, R. T. and Himmelblau, D. M.}, journal={Journal of chemical and engineering data}, volume={12}, number={1}, pages={111--115}, year={1967}, publisher={ACS Publications}, url={https://dx.doi.org/10.1021/je60032a036} } @book{finsterle1993, title={{Inverse Modellierung zur Bestimmung hydrogeologischer Parameter eines Zweiphasensystems}}, author={Finsterle, Stefan}, year={1993}, publisher={VAW}, url={http://tocs.ulb.tu-darmstadt.de/26322307.pdf} } @TECHREPORT{A3:forsyth:1993, author = {Forsyth, P. A.}, title = {{Three dimensional modeling of steam flush for DNAPL site remediation}}, institution = {Dep. of Computer Science}, year = {1993}, address = {University of Waterloo}, note = {CS-93-56} } @PHDTHESIS{Fritz2010, author = {J. Fritz}, title = {{A Decoupled Model for Compositional Non-Isothermal Multiphase Flow in Porous Media and Multiphysics Approaches for Two-Phase Flow}}, school = {Universit\"at Stuttgart}, year = {2010}, owner = {rodrigog}, timestamp = {2011.02.07} } @ARTICLE{A3:gimse:1992, author = {Gimse, T. and Risebro, N. H.}, title = {{Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function}}, journal = {SIAM J.\ Math.\ Anal.}, year = {1992}, volume = {23}, pages = {635-648}, number = {3} } @INPROCEEDINGS{A3:gimse:1991, author = {Gimse, T. and Risebro, N. H.}, title = {{Riemann Problems with a Discontinuous Flux Function}}, booktitle = {Proc.\ 3rd Internat.\ Conf.\ Hyperbolic Problems}, year = {1991}, pages = {488-502}, address = {Uppsala} } @TECHREPORT{subgrid, author = {C. Gr\"aser and O. Sander}, title = {{The dune-subgrid Module and Some Applications}}, year = {2009}, note = {Matheon 566} } @MASTERSTHESIS{A3:grass:2005, author = {Grass, C.}, title = {{Untersuchung von Randbedingungen bei der numerischen Simulation von Zweiphasenstr\"omungen in por\"osen Medien}}, school = {Institut f\"ur Wasserbau, Universit\"at Stuttgart}, year = {2005}, month = {January} } @BOOK{GRIEBEL2003, title = {{Numerische Simulation in der Molek\"{u}ldynamik}}, publisher = {Springer}, year = {2003}, author = {M. Griebel and S. Knapek and G. Zumbusch and A. Caglar}, edition = {1} } @article{gudbjerg2004, title = {{On spurious water flow during numerical simulation of steam injection into water-saturated soil}}, author = {{J. Gudbjerg and O. Trötschler and A. Färber and T.O. Sonnenborg and K.H. Jensen}}, journal = {{Journal of Contaminant Hydrology}}, volume = {75}, number = {3–4}, pages = {297 - 318}, year = {2004}, doi = {http://dx.doi.org/10.1016/j.jconhyd.2004.07.003}, url = {http://www.sciencedirect.com/science/article/pii/S0169772204001160} } @INPROCEEDINGS{A3:freiboth:2004, author = {S. H\"olzemann and H. Class and R. Helmig}, title = {{A New Concept for the Numerical Simulation and Parameter Identification of Multiphase Flow and Transport Processes in Cohesive Soils}}, booktitle = {{Unsaturated Soils: Numerical and Theoretical Approaches -- Proceedings of the International Conference ``From Experimental Evidence towards Numerical Modelling of Unsaturated Soils'' (18. - 19. September 2003, Bauhaus-Universit\"at Weimar)}}, year = {2004}, editor = {Schanz, T.}, publisher = {Springer-Verlag}, note = {ISBN: 3-540-21122-5} } @ARTICLE{HASSANIZADEH1987, author = {S. M. Hassanizadeh and W. G. Gray}, title = {{High velocity flow in porous media}}, journal = {Transport in Porous Media}, year = {1987} } @BOOK{A3:helmig:1997, title = {{Multiphase Flow and Transport Processes in the Subsurface --- A Contribution to the Modeling of Hydrosystems}}, publisher = {Springer Verlag}, year = {1997}, author = {Helmig, R.} } @BOOK{HELMIG1997, title = {{Multiphase Flow and Transport Processes in the Subsurface: A Contribution to the Modeling of Hydrosystems}}, publisher = {Springer}, year = {1997}, author = {R. Helmig}, edition = {1} } @article{hollis1996, title={{Real-Gas Flow Properties for NASA Langley Research Center Aerothermodynamic Facilities Complex Wind Tunnels}}, author={Hollis, B. R.}, year={1996}, publisher={NASA Langley Technical Report Server}, url = {{http://dl.acm.org/citation.cfm?id=886001}} } @BOOK{HYDROSKRIPT, title = {{Grundlagen der Hydromechanik}}, publisher = {Shaker}, year = {2005}, author = {R. Helmig and H. Class}, edition = {1} } @INBOOK{A3:sfb404:2003, chapter = {A3}, pages = {69--98}, title = {{Arbeits- und Ergebnisbericht 2003}}, publisher = {SFB 404}, year = {2003}, author = {Helmig, R. and Class, H. and Jakobs, H. and Bierlinski, A. and \"Olmann, U.}, month = {May} } @INPROCEEDINGS{A3:HelmigEtAl:2006, author = {Helmig, R. and Miller, C. T. and Jakobs, H. and Class, H. and Hilpert, M. and Kees, C. E. and Niessner, J.}, title = {{Multiphase Flow and Transport Modeling in Heterogeneous Porous Media}}, booktitle = {Progress in Industrial Mathematics at ECMI 2004}, year = {2006}, editor = {Di Bucchianico, A. and Mattheij, R. M. M. and Peletier, M. A.}, pages = {449--488}, address = {Eindhoven University of Technology}, month = {6}, publisher = {Springer-Verlag}, note = {3-540-28072-3}, type = {Plenary lecture} } @PHDTHESIS{HUBER2000, author = {R. U. Huber}, title = {{Compositional Multiphase Flow and Transport in Heterogeneous Porous Media}}, school = {University of Stuttgart}, year = {2000} } @article{joekar2008, title={{Insights into the relationships among capillary pressure, saturation, interfacial area and relative permeability using pore-network modeling}}, author={Joekar-Niasar, V. and Hassanizadeh, S. M. and Leijnse, A.}, journal={Transport in Porous Media}, volume={74}, number={2}, pages={201--219}, year={2008}, publisher={Springer}, url={https://dx.doi.org/10.1007/s11242-007-9191-7} } @techreport{johansen1977, title={{Thermal conductivity of soils}}, author={Johansen, O.}, year={1977}, institution={DTIC Document}, url={http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADA044002} } @ARTICLE{KALUARACHCHI1992, author = {J. J. Kaluarachchi and J. C. Parker}, title = {{Multiphase Flow with a Simplified Model for Oil Entrapment}}, journal = {Transport in Porous Media}, year = {1992}, volume = {7}, pages = {1--14}, number = {1} } @BOOK{KARNIADAKIS2005, title = {{Microflows and Nanoflows: Fundamentals and Simulation}}, publisher = {Springer}, year = {2005}, author = {G. Karniadakis and A. Be{\c c}k\"{o}k and N. R. Aluru}, edition = {1} } % no doi or link available @BOOK{kays2005, title = {{Convective heat and mass transfer}}, publisher = {McGraw-Hill Higher Education}, year = {2005}, author = {W. M. Kays and M. E. Crawford and B. Weigand}, edition = {4}, } @ARTICLE{A3:King:1996, author = {King, P. R.}, title = {{Upscaling Permeability: Error Analysis for Renormalisation}}, journal = {Transport in Porous Media}, year = {1996}, volume = {23}, pages = {337--354} } @ARTICLE{KOOL1987, author = {J. Kool and J. C. Parker and M. T. van Genuchten}, title = {{Parameter Estimation for Unsaturated Flow and Transport Models - A Review}}, journal = {Journal of Hydrology}, year = {1987}, volume = {91}, pages = {255--293} } @Article{Kunz2016, author={{Kunz, P. and Zarikos, I. M. and Karadimitriou, N. K. and Huber, M. and Nieken, U. and Hassanizadeh, S. M.}}, title={{Study of Multi-phase Flow in Porous Media: Comparison of SPH Simulations with Micro-model Experiments}}, journal={{Transport in Porous Media}}, year={2016}, volume={114}, number={2}, pages={581--600}, doi={10.1007/s11242-015-0599-1}, url={http://dx.doi.org/10.1007/s11242-015-0599-1} } @BOOK{A3:lancaster:1969, title = {{Theory of Matrices}}, publisher = {Academic Press, Inc.\ (London) Ltd.}, year = {1969}, author = {Lancaster, Peter} } @ARTICLE{LAND1968, author = {C. S. Land}, title = {{Calculation of Imbibition Relative Permeability for Two- and Three-Phase Flow from Rock Properties}}, journal = {Journal of the Society of Petroleum Engineers}, year = {1968}, volume = {8}, pages = {149--156}, number = {2} } @ARTICLE{LENHARD1987, author = {R. J. Lenhard and J. C. Parker}, title = {{A Model for Hysteretic Constitutive Relations Governing Multiphase Flow. 2. Permeability-Saturation Relations}}, journal = {Water Resources Research}, year = {1987}, volume = {23}, pages = {2197--2206}, number = {12} } @ARTICLE{LHHW2011, author = {A. Lauser and C. Hager and R. Helmig and B. Wohlmuth}, title = {{A new approach for phase transitions in miscible multi-phase flow in porous media}}, journal = {Advances in Water Resources}, year = {2011}, pages = {957--966}, volume = {34}, number = {8} } @BOOK{A3:leveque:1998, title = {{Numerical Methods for Conservation Laws}}, publisher = {Birkh\"auser Verlag, Basel Boston, Berlin}, year = {1998}, author = {LeVeque, R. J.} } @BOOK{LEVEQUE1992, title = {{Numerical Methods for Conservation Laws}}, publisher = {Birkh\"{a}user}, year = {1992}, author = {R. J. LeVeque}, edition = {2} } @BOOK{A3:looney:2000, title = {{Vadose Zone}}, publisher = {Batelle Press, Columbus OH}, year = {2000}, author = {Looney, B. B. and Falta, R. W.} } @article{lyman1990, title={{Handbook of chemical property estimation methods: environmental behavior of organic compounds}}, author={Lyman, W. J. and Reehl, W. F. and Rosenblatt, D. H.}, year={1990}, publisher={Washington, DC (United States); American Chemical Society}, url={https://www.osti.gov/scitech/biblio/6902382} } @BOOK{MEISTER2008, title = {{Numerik linearer Gleichungssysteme: Eine Einf\"{u}hrung in moderne Verfahren.}}, publisher = {Vieweg}, year = {2008}, author = {A. Meister}, edition = {3} } @BOOK{MEYBERG2000, title = {{H\"{o}here Mathematik 1}}, publisher = {Springer}, year = {2001}, author = {K. Meyberg and P. Vachenauer}, edition = {6} } @article{michaelides1981, title={{Thermodynamic properties of geothermal fluids}}, author={Michaelides, E. E.}, journal={Trans.-Geotherm. Resour. Counc.;(United States)}, volume={5}, number={CONF-811015-}, year={1981}, publisher={Univ. of Delaware, Newark}, url={https://www.osti.gov/scitech/biblio/6760030} } @Article{MILLINGTON1961, author ={Millington, R. J. and Quirk, J. P.}, title ={Permeability of porous solids}, journal ={Trans. Faraday Soc.}, year ={1961}, volume ={57}, issue ={0}, pages ={1200--1207}, doi ={10.1039/TF9615701200} } @ARTICLE{MUALEM1976, author = {Y. Mualem}, title = {{A new model for predicting the hydraulic conductivity of unsaturated porous media}}, journal = {Water Resources Research}, year = {1976}, volume = {12}, pages = {513--522}, number = {3} } @ARTICLE{MUCCINO1998, author = {J. C. Muccino and W. G. G. Gray and L. A. Ferrand}, title = {{Toward an Improved Understanding of Multiphase Flow in Porous Media}, journal = {Reviews of Geophysics}}, year = {1998}, volume = {36}, pages = {401--422}, number = {3} } @BOOK{MUSKAT1937, title = {{The Flow of Homogeneous Fluids Through Porous Media}}, publisher = {McGraw-Hill}, year = {1937}, author = {M. Muskat}, edition = {1} } @PHDTHESIS{DeNEFF2000, author = {de Neef, M. J.}, title = {{Modeling Capillary Effects in Heterogeneous Porous Media}}, school = {Technical University Delft}, year = {2000} } @article{nield2006, title={{Convection with Change of Phase}}, author={Nield, D. A. and Bejan, A.}, journal={Convection in Porous Media}, pages={403--452}, year={2006}, publisher={Springer}, url={https://dx.doi.org/10.1007/0-387-33431-9_10} } @ARTICLE{NIESSNER2005, author = {J. Niessner and R. Helmig and H. Jakobs and J. Roberts}, title = {{Interface Condition and Exact Linearization in the Newton Iterations for Two-phase Flow in Heterogeneous Porous Media}}, journal = {Advances in Water Resources}, year = {2005}, volume = {28}, pages = {671--687}, number = {7} } @ARTICLE{A3:nordbotten:2005a, author = {Nordbotten, J. M. and Celia, M. A. and Bachu, S.}, title = {{Injection and Storage of {CO$_2$} in Deep Saline Aquifers: Analytical Solution for {CO$_2$} Plume Evolution During Injection}}, journal = {Transport in Porous Media}, year = {2005}, volume = {58(3)}, pages = {339--360} } @ARTICLE{A3:nordbotten:2005b, author = {Nordbotten, J. M. and Celia, M. A. and Bachu, S. and Dahle, H.}, title = {{Semi-Analytical Solution for {CO$_2$} Leakage through an Abandoned Well}}, journal = {Environmental Science and Technology}, year = {2005}, volume = {39(2)}, pages = {602--611} } @UNPUBLISHED{A3:nordbotten:2005c, author = {Nordbotten, J. M. and Aavatsmark, I. and Eigestad, G. T.}, title = {{Monotonicity of Control Volume Methods}}, note = {submitted to Numerische Mathematik}, year = {2005} } @article{aavatsmark2010, title={A new finite-volume approach to efficient discretization on challenging grids}, author={Aavatsmark, I. and Eigestad, G. T. and Heimsund, B. and Mallison, B. and Nordbotten, J. and {\O}ian, E. and others}, journal={SPE Journal}, volume={15}, number={03}, pages={658--669}, year={2010}, publisher={Society of Petroleum Engineers} } @book{stoer2005, address = {Berlin}, author = {Stoer, Josef and Bulirsch, Roland}, publisher = {Springer}, title = {Numerische Mathematik 1}, edition={9}, year = {2005} } %no doi or link available @phdthesis{nuske2009, title={{Determination of interfacial area-capillary pressure-saturation relationships for a single fracture}}, author={Nuske, K. P.}, year={2009}, school={Master’s thesis, Universit{\"a}t Stuttgart} } @article{ochs2008, title={{Structural and electrochemical characterization of zirconium and silicon based sol-gel coatings for corrosion protection}}, author={Ochs, C. J. and Sittner, F. and Ugas-Carri{\'o}n, R. and Yekehtaz, M. and Ensinger, W.}, journal={Current Topics in Electrochemistry}, volume={13}, pages={59--65}, year={2008}, url={https://www.researchgate.net/profile/Christopher_Ochs/publication/229811805_Structural_and_electrochemical_characterization_of_zirconium_and_silicon_based_sol-gel_coatings_for_corrosion_protection/links/09e41501118fbee7b2000000.pdf} } @article{oliveira2003, title={{Estimation of primary drainage three-phase relative permeability for organic liquid transport in the vadose zone}}, author={Oliveira, L. I. and Demond, A. H.}, journal={Journal of Contaminant Hydrology}, volume={66}, number={3}, pages={261--285}, year={2003}, publisher={Elsevier}, url={https://dx.doi.org/10.1016/S0169-7722(03)00029-9} } @BOOK{ORTEGA2000, title = {{Iterative Solution of Nonlinear Equations in Several Variables}}, publisher = {Society for Industrial and Applied Mathematics}, year = {2000}, author = {J. M. Ortega and W. C. Rheinboldt}, address = {Philadelphia, PA, USA}, edition = {1} } @PHDTHESIS{PAPAFOTIOU2008, author = {A. Papafotiou}, title = {{Numerical investigations of the role of hysteresis in heterogeneous two-phase flow systems}}, school = {University of Stuttgart}, year = {2008} } @ARTICLE{PARKER1987, author = {J. C. Parker and R. J. Lenhard and T. Kuppusamy}, title = {{A Parametric Model for Constitutive Properties Governing Multiphase Flow in Porous Media}}, journal = {Water Resources Research}, year = {1987}, volume = {23}, pages = {618--624}, number = {4} } @Article{Pebesma1998a, author = {Edzer J. Pebesma and Cees G. Wesseling}, title = {{Gstat: a program for geostatistical modelling, prediction and simulation}}, journal = {Computers \& Geosciences}, year = {1998}, volume = {24}, pages = {17--31}, number = {1}, doi = {http://dx.doi.org/10.1016/S0098-3004(97)00082-4}, issn = {0098-3004}, url = {http://dx.doi.org/10.1016/S0098-3004(97)00082-4} } @BOOK{PRANDTL2002, title = {{F\"{u}hrer durch die Str\"{o}mungslehre}}, publisher = {Vieweg}, year = {2002}, author = {L. Prandtl and H. Oertel}, edition = {11} } @MISC{A3:IAPWS:2003, author = {IAPWS (The International Association for the Properties of Water and Steam)}, title = {{Revised Release on the IAPS Formulation 1985 for the Viscosity of Ordinary Water Substance}}, howpublished = {\url{http://www.iapws.org/}}, year = {2003} } @MISC{IAPWS1997, author = {IAPWS (The International Association for the Properties of Water and Steam)}, title = {{Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam}}, howpublished = {\url{http://www.iapws.org/IF97-Rev.pdf}}, year = {1997} } % no doi or link available @misc{cooper2008, title={{Release of the IAPWS formulation 2008 for the viscosity of ordinary water substance}}, author={Cooper, J. R. and Dooley, R. B.}, year={2008}, publisher={The International Association of the Properties of Water and Steam, Berlin, Germany} } @BOOK{reid1987, title = {{The Properties of Gases and Liquids}}, publisher = {McGraw-Hill Inc.}, year = {1987}, author = {Reid, R. C. and Prausnitz, J.M. and Poling, B. E.}, url={https://www.osti.gov/scitech/biblio/6504847} } @article{rutqvist2002, title={A study of caprock hydromechanical changes associated with CO2-injection into a brine formation}, author={Rutqvist, Jonny and Tsang, Chin-Fu}, journal={Environmental Geology}, volume={42}, number={2-3}, pages={296--305}, year={2002}, publisher={Springer} } @article{palliser1998, title={{A model for deep geothermal brines, III: Thermodynamic properties--enthalpy and viscosity}}, author={Palliser, C. and McKibbin, R.}, journal={Transport in Porous Media}, volume={33}, number={1-2}, pages={155--171}, year={1998}, publisher={Springer}, url={https://dx.doi.org/10.1023/A:1006549810989} } @book{poling2001, title={{The properties of gases and liquids}}, author={Poling, B. E. and Prausnitz, J. M. and O'Connell, J. P. and others}, volume={5}, year={2001}, publisher={McGraw-Hill New York}, url={https://dx.doi.org/10.1036/0070116822} } @ARTICLE{Pardiso, author = {O. Schenk and K. G\"artner}, title = {{Solving unsymmetric sparse systems of linear equations with {PARDISO}}}, journal = {Future Generation Computer Systems}, year = {2004}, volume = {20}, pages = {475 - 487}, number = {3}, doi = {DOI: 10.1016/j.future.2003.07.011}, issn = {0167-739X}, keywords = {Computational sciences}, url = {\url{http://www.sciencedirect.com/science/article/B6V06-49NXY7J-F/2/e8260e5d8f19639019cddea4776c024c}} } @article{peng1976, title={{A new two-constant equation of state}}, author={Peng, D.-Y. and Robinson, D. B.}, journal={Industrial \& Engineering Chemistry Fundamentals}, volume={15}, number={1}, pages={59--64}, year={1976}, publisher={ACS Publications}, url={https://dx.doi.org/10.1021/i160057a011} } @article{prydz1972, title={An Improved Oxygen Vapor Pressure Representation}, author={Prydz, R.}, journal={Metrologia}, volume={8}, number={1}, pages={1}, year={1972}, publisher={IOP Publishing}, url={https://dx.doi.org/10.1088/0026-1394/8/1/002} } @misc{sander1999, title={{Compilation of Henry's law constants for inorganic and organic species of potential importance in environmental chemistry}}, author={Sander, R.}, year={1999}, publisher={Max-Planck Institute of Chemistry, Air Chemistry Department Mainz, Germany}, url={http://enviromap.utah.gov/businesses/E/EnSolutions/depleteduranium/performassess/compliancereport/docs/2014/07Jul/supinfo/appreferences/Sander1999.pdf} } @PHDTHESIS{SHETA1999, author = {H. Sheta}, title = {{Simulation von Mehrphasenvorg\"{a}engen in por\"{o}sen Medien unter Einbeziehung von Hystereseeffekten}}, school = {University of Stuttgart}, year = {1999} } @ARTICLE{SPAETH1969, author = {H. Sp{\"{a}}th}, title = {{Exponential Spline Interpolation}}, journal = {Computing}, year = {1969}, volume = {4}, pages = {225--233}, number = {3}, key = {Spa69} } @article{span1996, title={{A new equation of state for carbon dioxide covering the fluid region from the triple-point temperature to 1100 K at pressures up to 800 MPa}}, author={Span, R. and Wagner, W.}, journal={Journal of physical and chemical reference data}, volume={25}, number={6}, pages={1509--1596}, year={1996}, publisher={AIP Publishing}, url={https://dx.doi.org/10.1063/1.555991} } @article{span2000, title={{A reference equation of state for the thermodynamic properties of nitrogen for temperatures from 63.151 to 1000 K and pressures to 2200 MPa}}, author={Span, R. and Lemmon, E. W. and Jacobsen, R. T. and Wagner, W. and Yokozeki, A.}, journal={Journal of Physical and Chemical Reference Data}, volume={29}, number={6}, pages={1361--1433}, year={2000}, publisher={AIP Publishing}, url={https://dx.doi.org/10.1063/1.1349047} } @ARTICLE{SPE5, author = {J. E. Killough and C. A. Kossack}, title = {{Fifth Comparative Solution Project: Evaluation of Miscible Flood Simulators}}, journal = {Society of Petroleum Engineers}, year = {1987}, volume = {SPE 16000} } @BOOK{A3:Stauffer:1984, title = {{Introduction to Percolation Theory}}, publisher = {Taylor \& Francis}, year = {1994}, author = {Stauffer, F. and Aharnony, A.} } @BOOK{SAENDIG-05, title = {{Mathematische Methoden in der Kontinuumsmechanik}}, publisher = {Institut f\"{u}r Angewandte Analysis und Numerische Simulation}, year = {2005}, author = {A. - M. S{\"{a}}ndig}, edition = {1}, key = {Sae05} } @article{somerton1974, title={{Thermal behavior of unconsolidated oil sands}}, author={Somerton, W. H. and Keese, J. A. and Chu, S. L. and others}, journal={Society of Petroleum Engineers Journal}, volume={14}, number={05}, pages={513--521}, year={1974}, publisher={Society of Petroleum Engineers}, url={https://dx.doi.org/10.2118/4506-PA} } @article{spycher2003, title={{CO 2-H 2 O mixtures in the geological sequestration of CO 2. I. Assessment and calculation of mutual solubilities from 12 to 100 C and up to 600 bar}}, author={Spycher, N. and Pruess, K. and Ennis-King, J.}, journal={Geochimica et cosmochimica acta}, volume={67}, number={16}, pages={3015--3031}, year={2003}, publisher={Elsevier}, url={https://dx.doi.org/10.1016/S0016-7037(03)00273-4} } @article{spycher2005, title={{CO 2-H 2 O mixtures in the geological sequestration of CO 2. II. Partitioning in chloride brines at 12--100 C and up to 600 bar}}, author={Spycher, N. and Pruess, K.}, journal={Geochimica et Cosmochimica Acta}, volume={69}, number={13}, pages={3309--3320}, year={2005}, publisher={Elsevier}, url={https://dx.doi.org/10.1016/j.gca.2005.01.015} } %no doi or link available @article{tchobanoglous1985, title={Water Quality: Characteristics}, author={Tchobanoglous, G. and Schroeder, E. D.}, journal={Modeling, Modification: Addison-Wesley}, year={1985} } @ARTICLE{TENG2000, author = {H. Teng and T. S. Zhao}, title = {{An extension of Darcy's law to non-Stokes flow in porous media}}, journal = {Chemical engineering science}, year = {2000}, volume = {55}, pages = {2727--2735}, number = {14} } @article{ward1964, title={{Turbulent flow in porous media}}, author={Ward, J.C.}, journal={Journal of the Hydraulics Division}, volume={90}, number={5}, pages={1--12}, year={1964}, publisher={ASCE} } @ARTICLE{A3:Wen:1996, author = {Wen, X. H. and G\'{o}mez-Hern\'{a}ndez, J. J.}, title = {{Upscaling hydraulic conductivities in heterogenous media: An overview}}, journal = {Journal of Hydrology}, year = {1996}, volume = {183}, pages = {ix--xxxii} } @BOOK{A3:whitaker:1999, title = {{The Method of Volume Averaging}}, publisher = {Kluwer Academic Publishers}, year = {1999}, author = {Whitaker, S.}, volume = {13}, series = {Theory and Applications of Transport in Porous Media}, address = {Dordrecht} } @ARTICLE{WHITAKER1985, author = {S. Whitaker}, title = {{Flow in porous media I: A theoretical derivation of Darcy's law}}, journal = {Transport in Porous Media}, year = {1985}, volume = {1}, pages = {3--25}, number = {1} } @ARTICLE{A3:Williams:1989, author = {Williams, J. K.}, title = {{Simple Renormalisation Schemes for Calculating Effective Properties of Heterogeneous Reservoirs}}, journal = {1st European Conference on the Mathematics of Oil Recovery, Cambridge, UK, July 1989}, year = {1989} } @ARTICLE{GEUZAINE2009, title={{Gmsh: A 3-{D} finite element mesh generator with built-in pre-and post-processing facilities}}, author={Geuzaine, C. and Remacle, J. - F.}, journal={International Journal for Numerical Methods in Engineering}, volume={79}, number={11}, pages={1309--1331}, year={2009}, publisher={Wiley Online Library} } @BOOK{GLADROW2000, title = {{Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction}}, publisher = {Springer}, year = {2000}, author = {D. A. Wolf-Gladrow}, edition = {1} } @article{gmehling1980, title={{Vapor-liquid equilibriums for the binary systems diethyl ether-halothane (1, 1, 1-trifluoro-2-bromo-2-chloroethane), halothane-methanol, and diethyl ether-methanol}}, author={Gmehling, J. and Onken, U. and Schulte, H. W.}, journal={Journal of Chemical and Engineering Data}, volume={25}, number={1}, pages={29--32}, year={1980}, publisher={ACS Publications}, url={https://dx.doi.org/10.1021/je60084a016} } @article{vargaftik1975, title={{Tables on the thermophysical properties of liquids and gases in normal and dissociated states}}, author={Vargaftik, Natan B}, year={1975}, publisher={Hemisphere}, url={https://cds.cern.ch/record/101055} } @article{watanabe2004, title={{Guideline on the Henry's Constant and Vapor-Liquid Distribution Constant for Gases in H2O and D2O at High Temperatures}}, author={Watanabe, K. and Dooley, R. B.}, journal={International Association for the Properties of Water and Steam}, year={2004}, url={http://www.iapws.org/relguide/HenGuide.pdf} } @techreport{walker1981, title={{Studies of heat transfer and water migration in soils. Final report}}, author={Walker, W. R. and Sabey, J. D. and Hampton, D. R.}, year={1981}, institution={Colorado State Univ., Fort Collins (USA). Solar Energy Applications Lab.}, url={https://www.osti.gov/scitech/biblio/6149346} } @article{xu2003, title={{Diffusion of water in liquid and supercritical carbon dioxide: an NMR study}}, author={Xu, B. and Nagashima, K. and DeSimone, J. M. and Johnson, C. S.}, journal={The Journal of Physical Chemistry A}, volume={107}, number={1}, pages={1--3}, year={2003}, publisher={ACS Publications}, url={https://dx.doi.org/10.1021/jp021943g} } @MISC{ALUGRID-HP, title = {T{he {ALUG}rid Website: \url{http://www.mathematik.uni-freiburg.de/IAM/Research/alugrid/}}}, key = {ALU} } @MISC{APACHE-SUBVERSION-HP, title = {{The Apache Subversion Website: \url{http://subversion.apache.org/}}}, key = {APACHE-SUBVERSION} } @MISC{CMAKE-DOC, title = {{{CMake} Documentation: \url{http://www.cmake.org/documentation/}}}, key = {CMAKE} } @MISC{DOXYGEN-HP, title = {{Doxygen Homepage: \url{http://www.stack.nl/~dimitri/doxygen/}}}, key = {DOXYGEN} } @MISC{DUMUX-HP, title = {{{DuMuX} homepage: \url{http://www.dumux.org/}}}, key = {DUMUX} } @MISC{DUMUX-DOWNLOAD, title = {{{DuMuX} download folder: \url{http://www.dumux.org/download/}}}, key = {DUMUX-DOWNLOAD} } @MISC{DUNE-CMAKE, title = {{Building Dune with CMake -- Frequently Asked Questions}: \url{http://www.dune-project.org/doc/buildsystem/cmakefaq.pdf}}, key = {DUNE-CMAKE} } @MISC{DUNE-DOWNLOAD-GIT, title = {{Download of {DUNE} via Git: \url{http://www.dune-project.org/downloadgit.html}}}, key = {DUNE-DOWNLOAD-GIT} } @MISC{DUNE-EXT-LIB, title = {{Use of external libraries in DUNE \url{http://www.dune-project.org/external_libraries/index.html}}}, key = {DUNE-EXTERNAL-LIBRARIES} } @MISC{DUNE-EXT-MOD, title = {{Use of external modules in DUNE \url{http://www.dune-project.org/downloadext.html}}}, key = {DUNE-EXTERNAL-MODULES} } @MISC{DUNE-HP, title = {{The {DUNE} Project: \url{http://www.dune-project.org/}}}, key = {DUNE} } @MISC{DUNE-INST, title = {{Installation notes to {DUNE}: \url{http://www.dune-project.org/doc/installation-notes.html}}}, key = {DUNE-INST} } @MISC{FENICS-HP, title = {{The {FEniCS} Project: \url{http://www.fenicsproject.org/}}}, key = {FENICS} } @MISC{NIST, title = {{Thermophysical Properties of Fluid Systems: \url{http://webbook.nist.gov/chemistry/fluid/}}}, key = {NIST} } @MISC{STL-REF-HP, title = {{A {STL} Reference: \url{http://www.cplusplus.com/reference/stl/}}}, key = {STL} } @MISC{UG-HP, title = {{{UG} Homepage: \url{http://www.iwr.uni-heidelberg.de/frame/iwrwikiequipment/software/ug}}}, key = {UG} } @MISC{WIKIPED-ALIASING, title = {{Wikipedia about aliasing data location in memory: \url{http://en.wikipedia.org/wiki/Aliasing\_(computing)}}}, key = {WikipediaAliasing} }