The Riemann Solution for the Injection of Steam and Nitrogen in a Porous Medium |
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Authors: | Wanderson Lambert Dan Marchesin Johannes Bruining |
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Institution: | 1.Instituto Nacional de Matemática Pura e Aplicada,Rio de Janeiro,Brazil;2.Instituto de Matemática Pura e Aplicada,Rio de Janeiro,Brazil;3.TUDelf - Delft University of Technology,Delft,The Netherlands |
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Abstract: | We solve the model for the flow of nitrogen, vapor, and water in a porous medium, neglecting compressibility, heat conductivity,
and capillary effects. Our choice of injection conditions is determined by the application to clean up polluted sites. We
study all mathematical structures, such as rarefaction, shock waves, and their bifurcations; we also develop a systematic
method to find fundamental solutions for thermal compositional flows in porous media. In addition, we unexpectedly find a
rarefaction evaporation wave which has not been previously reported in any other study. |
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Keywords: | |
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