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The transport of nuclear contamination in fractured porous media. (English) Zbl 0989.76062

Summary: We formulate a model for transport of a chain of radioactive waste products in a fractured porous medium, to devise an effective numerical method for approximating the solution of the model, and to demonstrate the convergence of the numerical method. The formulation begins from a model in an unfractured (single porosity) medium, passes through a double-porosity model in a fractured medium, and ends with a modified single porosity model that takes into account the relevant time scales of the flow and the nuclear decay.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76S05 Flows in porous media; filtration; seepage
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
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