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A new approach to Bäcklund transformations for longitudinal dispersion of miscible fluid flow through porous media in oil reservoir during secondary recovery process. (English) Zbl 1265.76030

Summary: A theoretical model is developed for the dispersion problem in porous media in which the flow is one dimensional and the average flow is unsteady. The solution of the dispersion problem is presented by means of a new approach to Bäcklund transformations of nonlinear partial differential equations.

MSC:

76E99 Hydrodynamic stability
80A20 Heat and mass transfer, heat flow (MSC2010)
81U30 Dispersion theory, dispersion relations arising in quantum theory
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