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Numerical model of contaminant transport through conduit-porous matrix system

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Abstract

A mathematical model for determining solute concentrations at a point within a cylindrically symmetrical conduit-porous matrix system is described. Both convection and diffusion are considered within the conduit subsystem, whereas only diffusion is considered within the porous matrix subsystem. The two subsystems are coupled through continuity conditions imposed at their interface boundary. The transport equations are solved utilizing an alternating-direction implicit-method technique. The solute concentration profiles resulting from this model are then sketched and discussed.

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Bobba, A.G. Numerical model of contaminant transport through conduit-porous matrix system. Math Geol 21, 861–890 (1989). https://doi.org/10.1007/BF00894453

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  • DOI: https://doi.org/10.1007/BF00894453

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