Gel Placement in Porous Media: Constant Injection Rate |
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Authors: | Vermolen F. J. Bruining J. van Duijn C. J. |
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Affiliation: | (1) CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands;(2) Faculty of Technical Mathematics and Informatics, Delft University of Technology, Meketweg 4, 2628 CD Delft, The Netherlands;(3) Faculty of Applied Earth Sciences, Delft University of Technology, Mijnbouwstraat 120, 120, 2628 RX Delft, The Netherlands |
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Abstract: | In this paper we analyse advective transport of polymers, crosslinkers and gel, taking into account non-equilibrium gelation, gel adsorption and crosslinker precipitation. In absence of diffusion/dispersion the resulting model consists of hyperbolic transport-reaction equations. These equations are studied in several steps using mainly analytical techniques. For simple cases, we obtain explicit travelling wave solutions, whereas for more complicated cases we rely on analytical techniques to analyse the problem qualitatively. Finally, a numerical solution for the full system of equations is obtained. The results developed in this study can be used to validate numerical solutions obtained from commercial simulators. |
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Keywords: | hyperbolic equations travelling wave gelation adsorption |
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