AUTHOR = "Ablowitz, M.J and Hebst, B.M. and Schober, C.", TITLE = "On the Numerical Solution of the Sine-Gordon Equation I. Integrable Discretizations and Homoclinic Manifolds", JOURNAL = "JCP", VOLUME = "126", NUMBER = "2", PAGES = "299--314", MONTH = "July", YEAR = "1996" } @INPROCEEDINGS{Allen:EK1, AUTHOR = "Allen, M.B. and Ewing R.E. and Koebbe, J.V.", TITLE = "Mixed Finite-Element Methods for Computing Groundwater Velocities", MONTH = "January 7-11", BOOKTITLE = "International Conference Series on Advances in Numerical Methods in Engineering Theory and Applications, ed. Zienkiewicz, O.C., et. al.", ADDRESS = "Swansea, U.K.", YEAR = "1985" } @PHDTHESIS{Amaziane:1, AUTHOR = "Amaziane, B.", TITLE = "Application des Techniques d'Homog\'{e}n\'{e}isation aux Ecoulements Diphasiques Incompressibles en Milieu Poreux", SCHOOL = "University of Lyon 1", YEAR = "1988" } @ARTICLE{Amaziane:B1, AUTHOR = "Amaziane, B. and Bourgeat, A.", TITLE = "Effective Behavior of Two-Phase Flow in Heterogeneous Reservoir", JOURNAL = "IMA", VOLUME = "11", PAGES = "1--22", YEAR = "1988" } @INCOLLECTION{Amaziane:BK1, AUTHOR = "Amaziane, B. and Bourgeat, A. and Koebbe, J.", TITLE = "Numerical Simulation and Homogenization of Two-Phase Flow in Heterogeneous Porous Media", BOOKTITLE = "Transport in Porous Media II", EDITOR = "Hornung and Dogan and Knaber", PUBLISHER = "Kluwer Academic Publishers", YEAR = "1990" } @INPROCEEDINGS{Amaziane:BK2, AUTHOR = "Amaziane, B. and Bourgeat, A. and Koebbe, J.", TITLE = "Numerical Simulation and Homogenization of Diphase Flow in Heterogeneous Reservoirs", BOOKTITLE = "Proc. 2nd European Conference on the Mathematics of Oil Recovery", MONTH = "September 11-14", YEAR = "1990" } @ARTICLE{Amaziane:D1, AUTHOR = "Amaziane, B. and Dumont, T.", TITLE = "Calcul de coefficients homog\'{e}n\'{e}is\'{e}s : Impl\'{e}mentation dans MODULEF et R\'{e}sultatas Num\'{e}riqu\'{e}s", JOURNAL = "Publications du laboratoire d'Analyses Numeriqu\'{e}", NUMBER = "61", ADDRESS = "U.A. 740 Lyon, Saint-Etienne", YEAR = "1987" } @ARTICLE{Amaziane:HK1, AUTHOR = "Amaziane, B. and Hontans, T. and Koebbe, J.", TITLE = "Equivalent Permeability and Simulation of Two-Phase Flow in Heterogeneous Porous Media", JOURNAL = "Computational Geosciences", NUMBER = "5", YEAR = "2001" } @ARTICLE{Amirat:HZ1, AUTHOR = "Amirat, Y. and Hamdache, K. and Ziani, A.", TITLE = "Homog\'{e}n\'{e}isation d'un Mod\'{e} d'Ecoulements Miscibles en Milieux Poreux", JOURNAL = "INRIA", VOLUME = "802", YEAR = "1988" } @ARTICLE{Amirat:HZ2, AUTHOR = "Amirat, Y. and Hamdache, K. and Ziani, A.", TITLE = "Homog\'{e}n\'{e}isation d'Equations Hyperboliques du Premier ordre, Application aux Milieux poreux", JOURNAL = "INRIA", NUMBER = "803", YEAR = "1988" } @ARTICLE{Antoncev:K1, AUTHOR = "Antoncev, S.N. and Kazhikhov, A.V.", TITLE = "On the Localization of Solutions of Nonlinear Degenerating Elliptic and Parabloic Equations", JOURNAL = "Dokl. Akad. Nauk SSSR.", NOTE = "T.260., N6., S1289-1293", YEAR = "1981" } @UNPUBLISHED{Arbogast:WY1, AUTHOR = "Arbogast, Todd and Wheeler, M.F.and Yotov, Ivan", TITLE = "Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences", NOTE = "accepted for publication in SIAM J. Num. Anal.", YEAR = "1995" } @UNPUBLISHED{Arbogast:DKWY1, AUTHOR = "Arbogast, Todd and Dawson, Clint and Keenan, Philip T. and Wheeler, M.F.and Yotov, Ivan", TITLE = "Implementation of Mixed Finite Element Methods for Elliptic Equations on General Geometry", NOTE = "submitted", YEAR = "1995" } @BOOK{Aziz:S1, AUTHOR = "Aziz, K. and Settari, A.", TITLE = "Petroleum Reservoir Simulation", PUBLISHER = "Elsevier Applied Science Publishers", ADDRESS = "London - New York", YEAR = "1975" } @INPROCEEDINGS{Barton:T1, AUTHOR = "Barton, M.D.. and Tyler, N.", TITLE = "Quantification of permeability structure in distribution channel deposits Ferron Sandstone, Utah", BOOKTITLE = "Geology of east-central Utah", NOTE = "Utah Geological Assoication Publication 19", EDITOR = "Chidsey, T.C.", PAGES = "273--282", YEAR = "1991" } @ARTICLE{Bell:DS1, AUTHOR = "Bell, J.B. and Dawson, C.N. and Shubin, G.R.", TITLE = "An Unsplit Higher Order Godunov Method for Scalar Conservation Laws in Multiple Dimensions", JOURNAL = "JCP", VOLUME = "74", NUMBER = "1", PAGES = "1--24", MONTH = "January", YEAR = "1988" } @ARTICLE{Bell:S1, AUTHOR = "Bell, J.B. and Shubin, G.R.", TITLE = "An Analysis of the Grid Orientation Effect in Numerical Simulation of Miscible Displacement", JOURNAL = "Comp. Meth. Appl. Mech. Eng.", VOLUME = "47", PAGES = "47--71", YEAR = "1984" } @INPROCEEDINGS{Bell:S2, AUTHOR = "Bell, J.B. and Shubin, G.R.", TITLE = "I don't know yet", BOOKTITLE = "Proc. of the Eighth SPE Symposium on Reservoir Simulation", MONTH = "February", NOTE = " Dallas, TX.", YEAR = "1985" } @BOOK{Bensoussan:LP1, AUTHOR = "Bensoussan, A. and Lions, J.L. and Papanicolaou, G.", TITLE = "Asymptotic Analysis for Periodic Structures", PUBLISHER = "North-Holland", YEAR = "1978" } @INPROCEEDINGS{Bertigger:P1, AUTHOR = "Bertigger, W.I. and Padmanabhan, L.", TITLE = "Finite Difference Solutions to Grid Orientation Problems Using IMPES", BOOKTITLE = "Proc. of the Seventh SPE Symposium on Reservoir Simulation", NOTE = "SPE paper 11250", PAGES = "228--246", MONTH = "November 15--18", YEAR = "1983" } @INPROCEEDINGS{Bertigger:CW1, AUTHOR = "Bertigger, W.I. and Caracotsios, M. and Woo, P.T.", TITLE = "An Effective Method to Reduce Grid Orientation Effects in Steamflood Simulations", BOOKTITLE = "Proc. of the Eighth SPE Symposium on Reservoir Simulation", NOTE = "SPE paper 13509", PAGES = "125--128", MONTH = "February 10--13", YEAR = "1985" } @ARTICLE{Book:BH1, AUTHOR = "Book, D.L. Boris, J.P. and Hain, K.", TITLE = "Flux-Corrected Transport II: Generalizations of the Method", JOURNAL = "J. Comp. Phys.", VOLUME = "18", PAGES = "248--283", YEAR = "1975" } @ARTICLE{Boris:B1, AUTHOR = "Boris, J.P. and Book, D.L.", TITLE = "Flux-Corrected Transport {I: SHASTA}, A Fluid Transport that Works", JOURNAL = "J. Comp. Phys.", VOLUME = "11", PAGES = "38--69", YEAR = "1973" } @INCOLLECTION{Bourgeat:1, AUTHOR = "Bourgeat, A.", TITLE = "Homogenization Method Applied to the Behavior of a Naturally Fissured Reservoir", BOOKTITLE = "Mathematical Methods in Energy Research", EDITOR = "Gross, K.I.", PUBLISHER = "SIAM", PAGES = "181--193", YEAR = "1984" } @ARTICLE{Bourgeat:2, AUTHOR = "Bourgeat, A.", TITLE = "Homogenized Behavior of Diphasic Flow in a Naturally Fissured Reservoir with Uniform Fractures", JOURNAL = "Computer Methods in Applied Mechanics and Engineering", NUMBER = "47", PAGES = "205--217", YEAR = "1984" } @INCOLLECTION{Bourgeat:3, AUTHOR = "Bourgeat, A.", TITLE = "Nonlinear Homogenization of Two-Phase Flow in Inhomogeneous Media", BOOKTITLE = "Lecture Notes in Pure and Applied Mathematics, Vol. 45.", PUBLISHER = "Marcel Dekker", ADDRESS = "New York", PAGES = "157--163", YEAR = "1985" } @INPROCEEDINGS{Bourgeat:4, AUTHOR = "Bourgeat, A.", TITLE = "Global Behavior of Two-Phase Flow Simulation", BOOKTITLE = "3rd International Conference on Boundary Layers", PUBLISHER = "Boole Press Pub.", ADDRESS = "Dublin", PAGES = "157--160", YEAR = "1985" } @INPROCEEDINGS{Bourgeat:5, AUTHOR = "Bourgeat, A.", TITLE = "Homogenization of Two-Phase Flow", BOOKTITLE = "the Institute on Nonlinear Analysis and Applications, Symposia in Pure Mathematics, ed. F. Browder", PUBLISHER = "AMS", YEAR = "1985" } @UNPUBLISHED{Bourgeat:6, AUTHOR = "Bourgeat, A.P.", TITLE = "Rapport Final du Contract GOF/USE", NOTE = "Publication de l'Equipe d'Analyse Numerique, Lyon-St. Etienne, June 1987" } @UNPUBLISHED{Bourgeat:H1, AUTHOR = "Bourgeat, A.P. and Hidani, A.", TITLE = "Effective Model of Two-Phase Flow in a Porous Medium of Different Rock Types", NOTE = "Publication de l'Equipe d'Analyse Numerique, Lyon-St. Etienne", NUMBER = "156", MONTH = "July", YEAR = "1994" } @UNPUBLISHED{Bourgeat:KM1, AUTHOR = "Bourgeat, A.P. and Kozlov, S.M. and Mikelic, A.", TITLE = "Effective Equations of Two-Phase in Random Media", NOTE = "Publication de l'Equipe d'Analyse Numerique, Lyon-St. Etienne", NUMBER = "155", MONTH = "April", YEAR = "1993" } @UNPUBLISHED{Bourgeat:M1, AUTHOR = "Bourgeat, A.P. and Mikelic, A.", TITLE = "Homogenization of the Two-Phase Immiscible Flow in One Dimensional Porous Media", NOTE = "Publication de l'Equipe d'Analyse Numerique, Lyon-St. Etienne, April 1991" } @ARTICLE{Bourgeat:QW1, AUTHOR = "Bourgeat, A. and Quintard, M. and Whitaker, S.", TITLE = "El\'{e}ments de Comparaison entre la M\'{e}thod d'Homog\'{e}n\'{e}isation et la M\'{e}thode de Prise de Moyenne avec Fermeture", JOURNAL = "C.R.A.S. S\'{e}rie II", ADDRESS = "Paris", VOLUME = "360", PAGES = "463--466", YEAR = "1988" } @ARTICLE{Bourgeat:K1, AUTHOR = "Bourgeat, A. and Koebbe, J.", TITLE = "Minimization of Grid Orientation Effects in Simulation of Oil Recovery Problems through the use of an Unsplit Higher Order Scheme", JOURNAL = "Numerical Methods for Partial Differential Equations", VOLUME = "12", Editor = "G. Pinder", PAGES = "161--189", YEAR = "1996" } @INPROCEEDINGS{Brand:HA1, AUTHOR = "Brand, C.W. and Heinemann, Z.E. and Aziz, K.", TITLE = "The Grid Orientation Effect in Resaervoir Simulation", BOOKTITLE = "Proc. of the Eleventh SPE Symposium on Reservoir Simulation", NOTE = "SPE paper 21228", MONTH = "February 17--20", YEAR = "1991" } @ARTICLE{Brezzi:1, AUTHOR = "Brezzi, F.", TITLE = "On the Existence, Uniqueness, and Approximation of Saddle-point Problems Arising from Lagrangian Multipliers", MONTH = "January 7-11", JOURNAL = "RAIRO Anal.Numer.", VOLUME = "2", PAGES = "129--151", YEAR = "1974" } @BOOK{Brezzi:F1, AUTHOR = "Brezzi, F. and Fortin, M.", TITLE = "Mixed and Hybrid Finite Element Methods", PUBLISHER = "Springer-Verlag", ADDRESS = "New York", YEAR = "1991" } @ARTICLE{Cardwell:P1, AUTHOR = "Cardwell, W.T. and Parsons, R.L.", TITLE = "Average Permeabilities of Heterogeneous Oil Sands", JOURNAL = "Trans,. AIME", VOLUME = "160" } @ARTICLE{Chang:1, AUTHOR = "Chang, H.C.", TITLE = "Multiscale Analysis of Effective Transport in Periodic Heterogeneous Media", JOURNAL = "Chem. Eng. Comm.", VOLUME = "15", PAGES = "83-91", YEAR = "1982" } @ARTICLE{Chang:PS1, AUTHOR = "Chang, Y. and Pope, G.A. and Sepehrnoori, K.", TITLE = "A Higher Order Finite-Difference Compositional Simulator", JOURNAL = "J. Pet. Sci. and Eng.", VOLUME = "5", PAGES = "35--50", YEAR = "1990" } @INCOLLECTION{Chavent:1, AUTHOR = "Chavent, G.", TITLE = "A New Formulation of Diphasic Incompressible Flows in Porous Media", BOOKTITLE = "Lecture Notes in Mathematics Vol. 503", PUBLISHER = "Springer-Verlag", PAGES = "258--270", YEAR = "1976" } @ARTICLE{Chavent:CJ1, AUTHOR = "Chavent, G. and Cohen, G. and Jaffre, J.", TITLE = "Discontinuous Upwinding and Mixed Finite Elements for Two-Phase Flows in Reservoir Simulation", JOURNAL = "Computer Methods In Applied Mechanics and Engineering", NUMBER = "47", PAGES = "93-118", YEAR = "1984" } @ARTICLE{Chavent:CCJ1, AUTHOR = "Chavent, G. and Cockburn, B. and Cohen, G. and Jaffre, J.", TITLE = "Une M{\'e}thode d'El{\'e}ments Finis Pour la Simulation dans un R{\'e}servoir de D{\'e}placements Bidimensionels d'Huile par de l'Eau", JOURNAL = "INRIA", VOLUME = "353", YEAR = "1985" } @BOOK{Chavent:J1, AUTHOR = "Chavent, G. and Jaffre, J.", TITLE = "Mathematical Models and Finite Elements for Reservoir Simulation", PUBLISHER = "North-Holland", ADDRESS = "Amsterdam", YEAR = "1986" } @INPROCEEDINGS{Chavent:JEGW1, AUTHOR = "Chavent, G. and Jaffre, J. and Eymard, R. and Guerillot, D. and Weill, L.", TITLE = "Discontinuous and Mixed Finite Elements for Two-Phase Incompressible Flow", BOOKTITLE = "1987 SPE Reservoir Simulation Symposium", NOTE = "SPE Paper 16018", ORGANIZATION = "SPE", ADDRESS = "San Antonio, Texas", YEAR = "1987" } @ARTICLE{Chen:DEO1, AUTHOR = "Chen, W.H. and Durlofsky L.J. and Enquist, B. and Osher, S.", TITLE = "Minimization of Grid orientation Effects through the use of Higher Order Finite Difference Methods", JOURNAL = "SPEJ Paper 22887", YEAR = "1991" } @ARTICLE{Chikhliwala:Y1, AUTHOR = "Chikhliwala and Yortsos, Y.C.", TITLE = "Investigations on Viscous Fingering by Linear and Weakly Nonlinear Stability Analysis", JOURNAL = "SPERE", PAGES = "1268--1278", YEAR = "November 1988" } @ARTICLE{Christie:1, AUTHOR = "Christie, M.A.", TITLE = "High-resolution Simulation of Unstable Flows in Porous Media", JOURNAL = "SPERE", PAGES = "297--303", YEAR = "August 1989" } @UNPUBLISHED{Colella:1, AUTHOR = "Colella, P.", TITLE = "A Multidimensional Second Order Godunov Scheme for Conservation Laws", NOTE = "Lawrence Berkeley Lab Report LBL-17023, 1984" } @ARTICLE{Coray:K1, AUTHOR = "Coray, C.S. and Koebbe J.V.", TITLE = "Accuracy Optimized Methods for Constrained Numerical Solutions of Hyperbolic Conservation Laws", JOURNAL = "J. Comp. Phys.", VOLUME = "109", MONTH = "Nov.", PAGES = "115--132", YEAR = "1993" } @ARTICLE{Coray:K2, AUTHOR = "Coray, C.S. and Koebbe J.V.", TITLE = "Higher Order Accuracy Optimized Methods for Constrained Numerical Solution of Hyperbolic Conservation Laws", JOURNAL = "SIAM J. Sci. and Stat. Comp.", VOLUME = "15", NUMBER = "4", MONTH = "June", YEAR = "1994" } @ARTICLE{Crowley:1, AUTHOR = "Crowley, W.P.", TITLE = "Second-Order Numerical Advection", JOURNAL = "J. Comp. Phys.", VOLUME = "1", PAGES = "471--484", YEAR = "1967" } @ARTICLE{Cutler:B1, AUTHOR = "Cutler, A. and Breiman, L.", TITLE = "Archetypal Analysis", JOURNAL = "Technometrics", VOLUME = "36", NUMBER = "4", PAGES = "338--347", MONTH = "November", YEAR = "1994" } @PHDTHESIS{Dahle:thesis, AUTHOR = "Dahle, H.", TITLE = "Adaptive Characteristic Operator Splitting Techniques for Convection-Dominated Diffusion Problems in One and Two Space Dimensions", SCHOOL = "University of Bergen, Bergen Norway", YEAR = "1988" } @INCOLLECTION{Dahle:EE1, AUTHOR = "Dahle, H.K. and Espedal, M.S. and Ewing, R.E.", TITLE = "Characteristic Petrov-Galerkin Subdomain Methods for Convection Diffusion Problems", BOOKTITLE = "IMA Volume 11: Numerical Simulation in Oil Recovery", EDITOR = "Wheeler, M.F.", PUBLISHER = "Springer-Verlag", ADDRESS = "Berlin", YEAR = "1988", PAGES = "77--88" } @UNPUBLISHED{Dahle:EES1, AUTHOR = "Dahle, H.K. and Espedal, M.S. and Ewing, R.E. and Saevareid, O.", TITLE = "Characteristic Adaptive Subdomain Methods for Reservoir Flow Problems", NOTE = "In preparation for an issue of Numerical Methods for Parital Differential Equations" } @INPROCEEDINGS{Dahle:E1, AUTHOR = "Dahle, H.K. and Espedal, M.S.", TITLE = "Local Refinement Techniques for Two-Phase Immiscible Flow in Porous Media", BOOKTITLE = "Proc. of the 7th Conference on Finite Element Methods in Flow Problems (FEMIF7)", YEAR = "1989" } @BOOK{Dake:1, AUTHOR = "Dake, L.P.", BOOKTITLE = "Fundamentals of Reservoir Engineering", PUBLISHER = "Elsevier Scientific Publishing", ADRESS = "New York", YEAR = "1978" } @ARTICLE{DiPerna:1, AUTHOR = "DiPerna, R.", TITLE = "Convergence of Approximate Solutons to Conservation Laws", JOURNAL = "Arch. Rat. Mech. Anal.", VOLUME = "82", PAGES = "27-=70", YEAR = "1983" } @ARTICLE{Douglas:1, AUTHOR = "Douglas, J.", TITLE = "Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media", MONTH = "August", JOURNAL = "SIAM J. Numer. Anal.", VOLUME = "4", YEAR = "1983" } @ARTICLE{Douglas:EW1, AUTHOR = "Douglas, J. and Ewing, R.E. and Wheeler, M.F.", TITLE = "The Approximation of the Pressure by a Mixed Method in the Simulation of Miscible Displacement", MONTH = "August", JOURNAL = "RAIRO Anal. Numer.", VOLUME = "17", NUMBER = "1", PAGES = "17--33", YEAR = "1983" } @MASTERSTHESIS{Duersch:thesis, AUTHOR = "Duersch, Taylor.", TITLE = "Parameter Estimation with Conditional Coding", SCHOOL = "Utah State University, Logan, Utah", YEAR = "1995" } @ARTICLE{Duffy:A1, AUTHOR = "Duffy, C.J. and Al-Hassan, S." , TITLE = " Groundwater Circulation in a Closed Desert Basin: Topographic Scaling and Climatic Forcing", JOURNAL = "Water Resources Research", VOLUME = "10" , NUMBER = "24" , YEAR = "1988", PAGES = "1675--1688" } @ARTICLE{Espedal:E1, AUTHOR = "Espedal, M.S. and Ewing, R.E.", TITLE = "Characteristic Petrov-Galerkin Subdomain Methods for Two-Phase Immiscible Flow", JOURNAL = "Computer Methods in Applied Mechanics and Engineering", YEAR = "1987", VOLUME = "64", PAGES = "113--135" } @INCOLLECTION{Ewing:1, AUTHOR = "Ewing, R.E.", TITLE = "Problems Arising in the Modeling of Processes for Hydrocarbon Recovery", BOOKTITLE = "Mathematics of Reservoir Simulation, Frontiers in Applied Mathematics Vol. 1", EDITOR = "Ewing, R.E.", PUBLISHER = "SIAM", PAGES = "3--34", YEAR = "1983" } @INPROCEEDINGS{Ewing:KGW1, AUTHOR = "Ewing, R.E. and Koebbe, J.V. and Gonzales, R. and Wheeler, M.F.", TITLE = "Computing Accurate Velocities for Fluid Flow in Porous Media", BOOKTITLE = "Proc. Fifth International Symposium on Finite Elements and Flow Problems", ADDRESS = "Austin, Texas", MONTH = "January 23-26", YEAR = "1984" } @INPROCEEDINGS{Ewing:WR1, AUTHOR = "Ewing, R.E. and Wheeler, M.F. and Russell, T.F.", TITLE = "Simulation of Miscible Displacement using Mixed Finite Element Methods and a Modified Method of Characteristics", BOOKTITLE = "Proc. Seventh SPE Symposium on Reservoir Simulation", ADDRESS = "San Francisco", YEAR = "1983" } @INBOOK{Ewing:W1, AUTHOR = "Ewing, R.E. and Wheeler, M.F.", TITLE = "Computational Aspects of Mixed Finite Element Methods", BOOK = "Numerical Methods for Scientific Computing", EDITOR = "Stepleman, R.S.", PUBLISHER = "North-Holland", YEAR = "1983" } @UNPUBLISHED{Ewing:YL1, AUTHOR = "Ewing, R.E. and Yuan Y. and Li G.", TITLE = "Finite Difference Methods for Compressible Flow for Nuclear Waste-Disposal Contamination in Porous Media", NOTE = "(inpreparation)"} @UNPUBLISHED{Fabrie:M1, AUTHOR = "Frabie, P. and Mikelic A.", TITLE = "Regularity and Uniqueness Results for Two-Phase Miscible Flow in Porous Media", YEAR = "1991", NOTE = "(to appear)" } @BOOK{Fletcher:1, AUTHOR = "Fletcher, R.", TITLE = "Practical Methods of Optimization, 2nd Edition", PUBLISHER = "Wiley", YEAR = "1987" } @UNPUBLISHED{Forster:MS1, AUTHOR = "Forster, C. and Mattson, A. and Snelgrove, S.", NOTE = "private communication", YEAR = "1997" } @ARTICLE{Franchi:1, AUTHOR = "Franchi, J.R.", TITLE = "Multidimensional Numerical Dispersion", JOURNAL = "SPEJ", PAGES = "143--151", MONTH = "Freburary", YEAR = "1983" } @ARTICLE{Frauenthal:FT1, AUTHOR = "Frauenthal, J.C. and di Franco, R.B. and Towler, B.F.", TITLE = "Reduction of Grid-Orientation Effects in Reservoir Simulation with Generalized Upstream Weighting", JOURNAL = "SPEJ", VOLUME = "19", PAGES = "902--908", MONTH = "December", YEAR = "1985" } @ARTICLE{Fromm:1, AUTHOR = "Fromm, J.E.", TITLE = "A Method for Reducing Dispersion in Convective Difference Schemes", JOURNAL = "J. Comput. Phys.", PAGES = "176--189", VOLUME = "3", YEAR = "1968" } @BOOK{Girault:R1, AUTHOR = "Girault, G. and Raviart, Pierre-Arnaud", TITLE = "Finite Element Methods for Navier-Stokes Equations", PUBLISHER = "Springer-Verlag", YEAR = "1986" } @BOOK{Golub:V1, AUTHOR = "Golub, Gene H. and RVan Loan, Charles F.", TITLE = "Matrix Computations", PUBLISHER = "The Johns Hopkins University Press", YEAR = "1983" } @INCOLLECTION{Glimm:LMP1, AUTHOR = "Glimm, J. and Lindquist, B. and McBryan, O. and Padmanabhan, L.", TITLE = "A Front Tracking Reservoir Simulator, Five-Spot Validation Studies and the Water Coning Problem", BOOKTITLE = "Mathematics of Reservoir Simulation, Frontiers in Applied Mathematics Vol. 1", EDITOR = "Ewing, R.E.", PUBLISHER = "SIAM", YEAR = "1983" } @INCOLLECTION{Glimm:ILMY1, AUTHOR = "Glimm, J. and Isaacson, E. and Lindquist, B. and McBryan, O. and Yaniv, S.", TITLE = "Statistical Fluid Dynamics: The Influenceof Geometry on Surface Instabilities", BOOKTITLE = "Mathematics of Reservoir Simulation, Frontiers in Applied Mathematics Vol. 1", EDITOR = "Ewing, R.E.", PUBLISHER = "SIAM", YEAR = "1983" } @ARTICLE{Harten:HL1, AUTHOR = "Harten, A. Hyman, J.M. and Lax, P.D.", TITLE = "Finite-Difference Approximations and Entropy Conditions for Shocks", JOURNAL = "Comm. Appl. Math.", VOLUME = "29", PAGES = "297--322", YEAR = "1976" } @ARTICLE{Harten:LV1, AUTHOR = "Harten, A. Lax, P.D. and Van Leer B.", TITLE = "On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws", JOURNAL = "SIAM Review", VOLUME = "25", NUMBER = "1", PAGES = "35--61", MONTH = "January", YEAR = "1983" } @ARTICLE{Harten:1, AUTHOR = "Harten, A.", TITLE = "High Resolution Schemes for Hyperbolic Conservation Laws", JOURNAL = "J. Comp. Phys.", VOLUME = "49", PAGES = "357--393", YEAR = "1983" } @BOOK{Hastings:P1, AUTHOR = "Hastings, N. A. J. and Peacock, J. B.", TITLE = "Statistical Distributions", PUBLISHER = "John Wiley \& Sons", YEAR = "1975" } @ARTICLE{Hickernell:Y1, AUTHOR = "Hickernell, F.J. and Yortsos, Y.C.", TITLE = "Linear Stability of Miscible Processes in Porous Media in the Abscence of Dispersion", JOURNAL = "Stud. Apl. Math.", VOLUME = "74", PAGES = "93--115", YEAR = "1986" } @PHDTHESIS{Hidani:thesis, AUTHOR = "Hidani, A.", TITLE = "Modeliisation des Ecoulements Diphasiques en Milieu Poreux a Plusieurs types de roches", SCHOOL = "L'Universite de Saint-Etienne, Saint-Etienne France", YEAR = "1993" } @PHDTHESIS{Hillyard:PHDthesis, AUTHOR = "Hillyard, C.", TITLE = "Construction and Analysis of a Family of Numerical Methods for Hyperbolic Conservation Laws with Stiff Source Terms", MONTH = "August", SCHOOL = "Utah State University", YEAR = "1999" } @ARTICLE{Hillyard:K1, AUTHOR = "Hillyard, C. and Koebbe J.", TITLE = "Some Numerical Methods for Stiffly Forced Conservation Laws", JOURNAL = "submitted to JCP", VOLUME = "199", PAGES = "1--37", YEAR = "2002" } @ARTICLE{Hillyard:K2, AUTHOR = "Hillyard, C. and Koebbe J.", TITLE = "Existence and Uniqueness of Solutions of Force Conservation Laws", JOURNAL = "submitted to SIAM Journal of Applied Analysis", VOLUME = "199", PAGES = "1--37", YEAR = "2002" } @ARTICLE{Homsy:1, AUTHOR = "Homsy, G.M.", TITLE = "Viscous Fingering in Porous Media", JOURNAL = "Ann. Rev. Fluid Mech.", VOLUME = "19", PAGES = "271--311", YEAR = "1987" } @BOOK{Isaaks:S1, AUTHOR = "Isaaks, E. H. and Srivastava, R. M.", TITLE = "An Introduction to Applied Geostatistics", PUBLISHER = "Oxford University", YEAR = "1989" } @BOOK{Journel:1, AUTHOR = "Journel, A. G.", TITLE = "Fundamentals of Geostatistics in Five Lessons", PUBLISHER = "American Geophysical Union", YEAR = "1989" } @INPROCEEDINGS{Ko:BV1, AUTHOR = "Ko, S.C.M. and Buckanan, W.L. and Vinsome P.F.W.", TITLE = "A critical comparison of finite difference interblock mobility approximations in Numerical Reservior Simulations", BOOKTITLE = "Proc. pf the 32nd Annual Technical Meeting, Petroleum Society og CIM", MONTH = "May", YEAR = "1981", ADDRESS = "Calagary, Canada"} @PHDTHESIS{Koebbe:PHDthesis, AUTHOR = "Koebbe, J.V.", TITLE = "Numerical Schemes for the Immiscible Displacement Equations Using a General Polynomial Framework for the Saturation Equation and Mixed Finite Element Methods for the Pressure", MONTH = "August", SCHOOL = "University of Wyoming", YEAR = "1988" } @ARTICLE{Koebbe:1, AUTHOR = "Koebbe, J.V.", TITLE = "A Computationally Efficient Modification of Mixed Finite Element Methods for Flow Problems with Full Transmissivity Tensors", JOURNAL = " Numerical Methods for Partial Differential Equations", VOLUME = "9", EDITOR = "G. Pinder", PAGES = "339--355", YEAR = "1993" } @UNPUBLISHED{Koebbe:2, AUTHOR = "Koebbe, J.V.", TITLE = " HomCode: A Code for Scaling Up Permeabilities Using Homogenization", YEAR = "1996", NOTE = "(to appear as a Utah Geological Survey report)" } @UNPUBLISHED{Koebbe:30, AUTHOR = "Koebbe, J.V.", TITLE = "TVD and Entropy Schemes in Terms of a Polynomial Framework", YEAR = "1989", NOTE = "(in preparation)" } @UNPUBLISHED{Koebbe:31, AUTHOR = "Koebbe, J.V.", TITLE = "Accuracy Optimized Methods for Systems of Conservation Laws", YEAR = "1994", NOTE = "(in preparation)" } @ARTICLE{Koebbe:4, AUTHOR = "Koebbe, J.", TITLE = "Homogenization-Wavelet Reconstruction Methods for Elliptic Problems", JOURNAL = " Numerical Methods for Partial Differential Equations", VOLUME = "100", EDITOR = "G. Pinder", PAGES = "1--35", YEAR = "2002" } @ARTICLE{Koebbe:EHP1, AUTHOR = "Ewing, R.E. and Heinemann, R.F. and Koebbe, J.V. and Prasad, U.S.", TITLE = "Velocity Weighting Techniques for Fluid Displacement Problems", JOURNAL = "Applied Mechanics and Engineering", VOLUME = "64", YEAR = "1987", PAGES = "137--151"} @INPROCEEDINGS{Koebbe:EL1, AUTHOR = "Koebbe, J. and Ewing, R. and Lagnado, R.", TITLE = "Accurate Velocity Weighting Techniques", BOOKTITLE = "Proc. of the Second Wyoming Enhanced Oil Recovery Symposium", MONTH = "May 15-16", YEAR = "1986", ADDRESS = "Casper, Wyoming"} @INPROCEEDINGS{Koebbe:WT1, AUTHOR = "Koebbe, J. and Watkins, L. and Thomas, R.", TITLE = "Characterization and Upscaling of Sedimentary Depositional Formations using Archetypal Analysis and Homogenization", BOOKTITLE = "Proceedings of the Third International ...IMACS", MONTH = "July 9-12", YEAR = "1997", ADDRESS = "Jackson, Wyoming", NOTE = "reviewed"} @INPROCEEDINGS{Koebbe:WT1, AUTHOR = "Koebbe, J. and Thomas, R.", TITLE = "Wavelet construction based on homogenization", BOOKTITLE = "Proceedings of the XIII International Conference on Computational Methods in Water Resources", MONTH = "June 25-29", YEAR = "2000", ADDRESS = "Calgary Canada" } @INPROCEEDINGS{Koebbe:EL1, AUTHOR = "Koebbe, J.V. and Ewing, R.E. and Lagnado, R.R.", TITLE = "Accurate Velocity Weighting Techniques", BOOKTITLE = "Second Wyoming Enhanced Oil Recovery Symposium", MONTH = "May 15-16", YEAR = "1986", ADDRESS = "Casper, Wyoming", PAGES = "140--157"} @ARTICLE{Koebbe:W1, AUTHOR = "Koebbe, J. and Watkins, L.", TITLE = "Boundary Value Problems for Systems of Two-Phase Porous Flow Type: Statement of th Problems, Questions of Solvability, Justification of Approximation Methods", JOURNAL = "submitted to Transport in Porous Media", NUMBER = "1", VOLUME = "1", PAGES = "1--39", YEAR = "2002" } @UNPUBLISHED{JHUG, AUTHOR = "Koebbe, J.", TITLE = "JHomogenizer User's Guide", NOTE = "download available at http://www.math.usu.edu/ ~koebbe/wwwHomog/", YEAR = "2004" } @UNPUBLISHED{JHomsite, AUTHOR = "Koebbe, J.", TITLE = "Computational Homogenization and Multiscale Research Web Site", NOTE = "download available at http://www.math.usu.edu/ ~koebbe/wwwHomog/", YEAR = "2004" } @ARTICLE{Kruzkov:S1, AUTHOR = "Kruzkov, S.N. and Sukorjanskii, S.M.", TITLE = "Boundary Value Problems for Systems of Two-Phase Porous Flow Type: Statement of th Problems, Questions of Solvability, Justification of Approximation Methods", JOURNAL = "Math. USSR, Sbornik", NUMBER = "1", VOLUME = "33", PAGES = "62--80", YEAR = "1977" } @ARTICLE{Iserles:S1, AUTHOR = "Iserles, A. and Strang, G.", TITLE = " The Optimal Accuracy of Difference Schemes", JOURNAL = "Trans. of the AMS", VOLUME = "277", NUMBER = "2", PAGES = "779--803", MONTH = "June", YEAR = "1983" } @BOOK{Lax:1, AUTHOR = "Lax, P.D.", TITLE = " Hyperbolic Systems of Conservation laws and the Mathematical Theory of Shock Waves", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA.", YEAR = "1973" } @ARTICLE{Lax:W1, AUTHOR = "Lax, P.D. and Wendroff, B.", TITLE = " Systems of Conservation Laws", JOURNAL = "Comm. Appl. Math.", VOLUME = "13", PAGES = "217--237", YEAR = "1960" } @ARTICLE{Lax:W2, AUTHOR = "Lax, P.D. and Wendroff, B.", TITLE = " Difference Schemes for Hyperbolic Equations with Higher Order Accuracy", JOURNAL = "Comm. Appl. Math.", VOLUME = "17", PAGES = "381--398", YEAR = "1964" } @ARTICLE{Lellemand:BP1, AUTHOR = "Lallemand-Barres, A. and Peaudecerf, P." , TITLE = "Recherchedes Relations entre la Valeur de la Dispersivite d'un milieu aquif'ere ses autre Characteristic et les Conditions de Mesure", JOURNAL = "Bull. Bur. Rech. Geol. Min. Sect.", VOLUME = "3" , NUMBER = "4" , YEAR = "1978" } @BOOK{LeVeque:1, AUTHOR = "LeVeque, Randall J.", TITLE = "Numerical Methods for Conservation Laws", PUBLISHER = "BirkHauser", ADRESS = "Zurich", YEAR = "1990" } @ARTICLE{LeVeque:Y1, AUTHOR = "LeVeque, R.J. and Yee, H.C." , TITLE = "A Study of Numerical Methods for Hyperbolic Conservation Laws with Stiff Source Terms", JOURNAL = "J. Comp. Phys.", VOLUME = "86" , PAGES = "187--210", YEAR = "1990" } @BOOK{Lin:S1, AUTHOR = "Lin, C.C. and Segel, L.A.", BOOKTITLE = "Mathematics Applied to Deterministic Problems in the Natural Sciences", PUBLISHER = "Macmillan Publishing", ADRESS = "New York", YEAR = "1977" } @BOOK{Matheron:1, AUTHOR = "Matheron, G.", TITLE = "El{\'e}ments pour une Th{\'e}orie des Milieux Poreux", PUBLISHER = "Masson", ADDRESS = "Paris", YEAR = "1967" } @MASTERSTHESIS{Mattson:1, AUTHOR = "Mattson, A.", TITLE = "Characterization, facies, relationships, and architecture framework in a fluvial-deltaic sandstone: Cretaceous Ferron Sandstone, Central Utah", SCHOOL = "University of Utah", NOTE = "Department of Geology", YEAR = "1997"} @ARTICLE{McCracken:Y1, AUTHOR = "McCracken, T. and Yanosik, J.", TITLE = "A Nine-Point, Finite Difference, Reservoir Simulation for Realistic Prediction of Adverse Mobility Ratio Displacements", JOURNAL = "SPEJ", VOLUME = "17", PAGES = "228--246", MONTH = "August", YEAR = "1979" } @MASTERSTHESIS{McCleary:1, AUTHOR = "McCleary, K." , TITLE = "Density-dependent Convection Flow in Closed Basins", SCHOOL = "Utah State University", YEAR = "1989", NOTE = "Department of Civil and Environmental Engineering" } @UNPUBLISHED{Murat:1, AUTHOR = "Murat, F.", TITLE = "H-Convergence", NOTE = "S{\'e}minaire d'Analyse Fonctionnelle et Num{\'e}rique, Universit{\'e} d'Alger", YEAR = "1977--78" } @BOOK{Numerical_Recipes, AUTHOR = "Press, William H. and Teukolsky, Saul A. and Vettering, William T. and Flannery, Brian P.", TITLE = "Numerical Recipes in Fortran: The Art of Scientific Computing, 2nd Edition", PUBLISHER = "Cambridge University Press", ADDRESS = "New York", YEAR = "1992" } @ARTICLE{Olenik:1, AUTHOR = "Olenik, O." , TITLE = "Discontinuous Solutions of Nonlinear Differential Equations", JOURNAL = " Amer. Math. Soc. Trans. Ser. 2" , VOLUME = "26" , YEAR = "1957", PAGES = "95--172" } @ARTICLE{Osher:1, AUTHOR = "Osher, S." , TITLE = "Riemann Solvers, the Entropy Condition, and Difference Approximations", JOURNAL = " SIAM J. Numer. Anal." , VOLUME = "21" , NUMBER = "2" , MONTH = "April" , YEAR = "1984", PAGES = "217--235" } @ARTICLE{Osher:2, AUTHOR = "Osher, S." , TITLE = "On The Convergence of Difference Approxiamtions to Scalar Conservation Laws" , JOURNAL = " Math Comp " , VOLUME = "50" , NUMBER = "181" , MONTH = "January" , YEAR = "1988", PAGES = "19--51" } @ARTICLE{Osher:C1, AUTHOR = "Osher, S. and Chakravarthy, S." , TITLE = " High Resolution Schemes and the Entropy Condition", JOURNAL = " SIAM J. Numer. Anal." , VOLUME = "21" , NUMBER = "5" , MONTH = "October" , YEAR = "1984", PAGES = "955--984" } @ARTICLE{Osher:S1, AUTHOR = "Osher, S. and Soloman, F." , TITLE = " Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws", JOURNAL = " Math. Comp." , VOLUME = "38" , NUMBER = "158" , MONTH = "April" , YEAR = "1982", PAGES = "339--374" } @INCOLLECTION{Papanicolaou:V1, AUTHOR = "Papanicolaou, G. and Varahan, S.", TITLE = "Diffusion in Region with many Small Holes", BOOKTITLE = "Lecture Notes in Control and Information, Vol. 75", PUBLISHER = "Springer-Verlag", PAGES = "190--206", YEAR = "1980" } @BOOK{Peaceman:1, AUTHOR = "Peaceman, D.W.", BOOKTITLE = "Fundamentals of Numerical Reservoir Engineering", PUBLISHER = "Elsevier Scientific Publishing", ADRESS = "New York", YEAR = "1977" } @ARTICLE{Potempa:1, AUTHOR = "Potempa, T.", TITLE = "An Improved Implementation of the McCracken and Yanosik Nine Point Finite Difference Procedure", JOURNAL = "Applied Numerical Mathematics", VOLUME = "1", PAGES = "261--272", PUBLISHER = "North-Holland", YEAR = "1985" } @BOOK{Press:TVF1, AUTHOR = "W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery", TITLE = "Numerical Recipes in FORTRAN: the art of scientific computing", PUBLISHER = "Cambridge University Press ", YEAR = "1992" } @UNPUBLISHED{Potempa:2, AUTHOR = "Potempa, T.", TITLE = "A Numerical Model of Two-Dimensional, Two Component Single Phase Flow in Porous Media", YEAR = "1983", NOTE = "Technical Report TR-83-10, Rice University Department of Mathematical Sciences" } @INCOLLECTION{Raviart:T1, AUTHOR = "Raviart, P.A. and Thomas, J.M.", TITLE = "Mixed Finite Element Methods for $2^{nd}$ Order Elliptic Problems", BOOKTITLE = "Lecture Notes in Mathematics Vol. 606", PUBLISHER = "Springer-Verlag", YEAR = "1977" } @BOOK{Rice:1, AUTHOR = "Rice, J. A.", TITLE = "Mathematical Statistics and Data Analysis", PUBLISHER = "Wadsworth Publishing Company", YEAR = "1995" } @UNPUBLISHED{Roe:1, AUTHOR = "Roe, P.L.", TITLE = "Some contributions to the modelling of discontinuous flows", NOTE = " Proc. AMS/SIAM Seminar, San Diego", YEAR = "1983" } @INPROCEEDINGS{Rozen:1, AUTHOR = "Rozen, B.J.", TITLE = "A Generalized Finite Volume Discretization for Reservoir Simulation", BOOKTITLE = "Proc. of the Tenth SPE Symposium on Reservoir Simulation", NOTE = "SPE paper 18414", PAGES = "71--84", MONTH = "February 6--8", YEAR = "1989" } @INCOLLECTION{Russell:W1, AUTHOR = "Russell, T.F. and Wheeler, M.F.", TITLE = "Finite Element and Finite Difference Methods for Continuous Flows in Porous Media", BOOKTITLE = "Mathematics of Reservoir Simulation, Frontiers in Applied Mathematics Vol. 1", EDITOR = "Ewing, R.E.", PUBLISHER = "SIAM", YEAR = "1983" } @INCOLLECTION{Sanchez-Palencia:1, AUTHOR = "Sanchez-Palencia, E.", TITLE = "Nonhomogeneous Media and Vibration Theory", BOOKTITLE = "Lecture Notes in Physics, Vol. 127", PUBLISHER = "Springer-Verlag", YEAR = "1980" } @ARTICLE{Sanders:1, AUTHOR = "Sanders, R." , TITLE = " Convergence of Monotone Finite Difference Schemes with Variable Spatial Differencing", JOURNAL = "Math. Comp." , VOLUME = "40" , NUMBER = "161" , MONTH = "January" , YEAR = "1983", PAGES = "91--106" } @ARTICLE{Sanders:2, AUTHOR = "Sanders, R." , TITLE = " A Third-Order Accurate Variation Nonexpansive Difference Scheme for Single Nonlinear Conservation Laws", JOURNAL = "Math. Comp." , VOLUME = "51" , NUMBER = "184" , MONTH = "October" , YEAR = "1988", PAGES = "535--558" } @ARTICLE{Sheldon:ZC1, AUTHOR = "Sheldon, J.W. and Zondek, B. and cardwell, W.T." , TITLE = "I don't know yet", JOURNAL = "Trans. Soc. Pet. Eng. AIME" , YEAR = "1959" , PAGES = "290" } @BOOK{Smith:1, AUTHOR = "Smith, G.D.", BOOKTITLE = "Numerical Solution of Partial Differential Equations Finite Difference Methods", PUBLISHER = "Oxford University Press", ADRESS = "New York", YEAR = "1985" } @BOOK{Smoller:1, AUTHOR = "Smoller, J.", TITLE = "Shock Waves and Reaction-Diffusion Equations", PUBLISHER = "Springer-Verlag", ADRESS = "New York", YEAR = "1983" } @PHDTHESIS{Snelgrove:1, AUTHOR = "Snelgrove, S.", TITLE = "Some title", SCHOOL = "University of Utah", NOTE = "Department of Geology", YEAR = "1998"} @UNPUBLISHED{Spillette:HS1, AUTHOR = "Spillette, A.G. and Hillestad, J.G. and Stone, H.L.", TITLE = "A High Stability Sequential Solution Approach ti Reservoir Simulation", NOTE = "SPE paper 4542, Las Vegas, Nevada, Sept. 1973" } @ARTICLE{Sod:1, AUTHOR = "Sod, G.A." , TITLE = "A Survey of Several Finite Difference Methods for Systems of Nonlinear Hyperbolic Conservation Laws", JOURNAL = "J. Comp. Phys." , VOLUME = "27" , YEAR = "1978" , PAGES = "1--31" } @BOOK{Stakgold:1, AUTHOR = "Stakgold, I.", TITLE = "Green's Functions and Boundary Value Problems", PUBLISHER = "Wiley-Interscience", ADRESS = "New York", YEAR = "1979" } @ARTICLE{Strang:1, AUTHOR = "Strang, G.", TITLE = " On the Construction and Comparison of Difference Schemes", JOURNAL = "SIAM J. Num. Anal.", VOLUME = "5", PAGES = "506--517", YEAR = "1968" } @ARTICLE{Sweby:1, AUTHOR = "Sweby, P.K." , TITLE = " High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws", JOURNAL = " SIAM J. Numer. Anal." , VOLUME = "21" , NUMBER = "5" , MONTH = "October" , YEAR = "1984", PAGES = "995--1011" } @UNPUBLISHED{Sweldens:1, AUTHOR = "Sweldens, W." , TITLE = "The Lifting Scheme: A construction of second generation wavelets", NOTE = "Technical Report 1995:6, Industrial Mathematics Initiative, Department of Mathematics, University of South Carolina", YEAR = "1995" } @ARTICLE{Tadmor:1, AUTHOR = "Tadmor, E. " , TITLE = " Convenient Total Variation Diminishing Conditions for Nonlinear Difference Schemes", JOURNAL = " SIAM J. Numer. Anal." , VOLUME = "25" , NUMBER = "5" , MONTH = "October" , YEAR = "1988", PAGES = "1002--1014" } @ARTICLE{Taggart:P1, AUTHOR = "Taggart, I.J.and Pinczewski", TITLE = "The Use of Higher Order Differencing Techniques in Reservoir Simulation", JOURNAL = "SPEJ" , YEAR = "1972", PAGES = "515--530" } @UNPUBLISHED{Tartar:1, AUTHOR = "Tartar, L.", TITLE = "Incompressible Fluid Flow in a Porous Medium. Convergence of the Homogenization Process.", NOTE = "Appendix to paper by E. Sanchez-Palencia above", YEAR = "1980" } @ARTICLE{Todd:OH1, AUTHOR = "Todd, M.R.and O'Dell, P.M. and Hirisaki, G.J.", TITLE = "Methods for Increased Accuracy in Numerical Reservoir Simulation", JOURNAL = "SPEJ" , YEAR = "1972", PAGES = "515--530" } @UNPUBLISHED{UGS:1, AUTHOR = "Chidsey, T.C.", TITLE = "Geological and Petrophysical Characterization of the Ferron Sandstone for 3-D Simulation of a Fluvial-Deltaic Reservoir", NOTE = "Deliverable 2.5.10 3-D Representation of Petrophyscial Units, Ferron Sandstone, Emery and Seveir Counties, Utah, DOE Contrac No. DE-AC22-93BC14896", MONTH = "September", YEAR = "1997" } @ARTICLE{VanLeer:1, AUTHOR = "Van Leer, B.", TITLE = "Towards the Ultimate Conservative Difference Scheme, {II} Monotonicity and Conservation in a Second Order Scheme", JOURNAL = " J. Comp. Phys." , VOLUME = "14" , YEAR = "1974", PAGES = "361--380" } @BOOK{VanLeer:2, AUTHOR = "Van Leer, B.", BOOKTITLE = "Computing Methods in Applied Sciences and Engineering, VI", TITLE = "Multidimensional Explicit Difference Schemes for Hyperbolic Conservation Laws", PUBLISHER = "Elsevier Science", ADDRESS = "New York", YEAR = "1984" } @PHDTHESIS{Viallon:PHDThesis, AUTHOR = "Viallon, M.", TITLE = " Etude des Schemas Double-Amont et Elements Finis Discontinus $P^0P^1$ pour la Resolution Numerique del lois de Conservation Scalaires", SCHOOL = "University Jean Monnet de Saint-Etienne", YEAR = "1989" } @BOOK{Vichnevetsky:B1, AUTHOR = "Vichnevetsky, R. and Bowles, J.B.", BOOKTITLE = "Fourier Analysis of Numerical Approximations of Hyperbolic Equations", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA.", YEAR = "1982" } @ARTICLE{Vinsome:A1, AUTHOR = "Vinsome, P.K.W. and Au, A.D.K.", TITLE = "One Approach to the Grid Orientation Problem in Reservoir Simulation", JOURNAL = "SPEJ", PAGES = "160--161", YEAR = "1981" } @MISC{Voss:1, AUTHOR = "Voss, C.I." , TITLE = "A finite Element Simulation Model for Saturated and Unsaturated Density Dependent Groundwater Flow", HOWPUBLISHED = "U.S. Geological Survey", YEAR = "1988", NOTE = "409p." } @ARTICLE{Warming:B1, AUTHOR = "Warming, R.F. and Beam, R.M.", TITLE = "Upwind second order difference schemes and applications in aerodynamics", JOURNAL = "AIAA J.", VOLUME = "14", YEAR = "1976", PAGES = "1241--1249" } @ARTICLE{Warren:S1, AUTHOR = "Warren, J.E. and Skiba, F.F.", TITLE = "Macroscopic Dispersion", JOURNAL = "SPEJ", PAGES = "215--230", YEAR = "1964" } @MASTERSTHESIS{Watkins:MSthesis, AUTHOR = "Watkins, Laura.", TITLE = "Characterization of Fluvial-Deltaic Formations using Archetypal Analysis", SCHOOL = "Utah State University, Logan, Utah", YEAR = "1997" } @PHDTHESIS{Watkins:PHDthesis, AUTHOR = "Watkins, Laura.", TITLE = "Something about wavelets and homogenization", SCHOOL = "Utah State University, Logan, Utah", YEAR = "2003" } @UNPUBLISHED{Yee:1, AUTHOR = "Yee, H.C.", TITLE = "Upwind and Symmetric Shock-Capturing Schemes", NOTE = "NASA Technical Memorandum 89464, NASA Ames Research Center, May 1987" } @ARTICLE{Yee:SG1, AUTHOR = "Yee, H.C. and Sweby, P.K. and Griffiths, D.F.", TITLE = "Dynamical Approach Study of Spurious Steady-State Numerical Solutions of Nonlinear Differential Equations, I. The Dynamics of Time Discretization and Its Implications for Algorithm Development in Computational Fluid Mechanics", JOURNAL = "JCP", PAGES = "249--310", VOLUME = "97", YEAR = "1991" } @ARTICLE{Yortsos:H1, AUTHOR = "Yortsos, Y.C.and Huang, A.B.", TITLE = "Linear Stability Analysis of Immiscible Displacement", JOURNAL = "SPERE", PAGES = "378--390", YEAR = "July 1986" } @ARTICLE{Zalesak:1, AUTHOR = "Zalesak, S.T.", TITLE = "Fully multidimensional flux corrected transport algorithms for fluids", JOURNAL = "J. Comp. Phys.", VOLUME = "31", YEAR = "1979", PAGES = "335--362" }