caa a22 4500 463163443 CHVBK 20180406164754.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s11242-006-9031-1 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9031-1 Numerical modeling of multiphase first-contact miscible flows. Part 1. Analytical Riemann solver [Elektronische Daten] [Ruben Juanes, Knut-Andreas Lie] In this series of two papers, we present a front-tracking method for the numerical simulation of first-contact miscible gas injection processes. The method is developed for constructing very accurate (or even exact) solutions to one-dimensional initial-boundary-value problems in the form of a set of evolving discontinuities. The evolution of the discontinuities is given by analytical solutions to Riemann problems. In this paper, we present the mathematical model of the problem and the complete Riemann solver, that is, the analytical solution to the one-dimensional problem with piecewise constant initial data separated by a single discontinuity, for any left and right states. The Riemann solver presented here is the building block for the front-tracking/streamline method described and applied in the second paper. Springer Science+Business Media B.V., 2006 Porous media nationallicence First-contact miscible displacement nationallicence Water-alternating-gas nationallicence Shocks nationallicence Riemann problem nationallicence Analytical solution nationallicence Front-tracking nationallicence Juanes Ruben Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Building 48, 77 Mass. Ave., 02139, Cambridge, MA, USA aut Lie Knut-Andreas Department of Applied Mathematics, SINTEF ICT, P.O. Box 124, NO-0314, Blindern, Oslo, Norway aut Transport in Porous Media Kluwer Academic Publishers 67/3(2007-04-01), 375-393 0169-3913 67:3<375 2007 67 11242 https://doi.org/10.1007/s11242-006-9031-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9031-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Juanes Ruben Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Building 48, 77 Mass. Ave., 02139, Cambridge, MA, USA aut NATIONALLICENCE 700 1- Lie Knut-Andreas Department of Applied Mathematics, SINTEF ICT, P.O. Box 124, NO-0314, Blindern, Oslo, Norway aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 67/3(2007-04-01), 375-393 0169-3913 67:3<375 2007 67 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 458065110 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer