Finite Medium Green’s Function Solutions to Nuclide Transport in Porous Material
It is important to develop mathematical models to estimate the release of buried radioactive waste to the biosphere and its potential impact on man. A necessary link in simulating this process is a model that accurately represents the subsurface transport. Among the analytical techniques used to predict the transport of nuclides in porous materials is the Green’s function approach (1), i.e., the response characteristics of a geologic pathway to an impulse function input. To date, the analyses all have set the boundary conditions needed to solve the 1-D transport equation as though each pathway were infinite in length. This paper critically examines the effects that the infinite pathway assumption has on Green’s function models of nuclide transport in porous media. It treats the more difficult problem of obtaining suitable Green’s functions for finite pathways whose dimensions may not be much greater than the diffusion length. Such pathways may occur in multipath representations of a waste repository, for example.
KeywordsMass Flux Slug Flow Pipe Inlet Unit Impulse Lawrence Livermore Laboratory
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