Channel Network Models for Solute Migration and Dispersalby Peter Grindrod, Intera, Oxfordshire, United Kingdom,
Michael D. Impey, Intera, Oxfordshire, United Kingdom,
Abstract: We introduce a class of channel-network models for solute migration and dispersal in saturated rock. In discussing the behaviour of any dispersive process it is necessary to compare and contrast it with standard models. For this reason we calibrate three models together at one breakthrough length, and demonstrate how the models produce alternative up-scaled behaviour. The application of a range of approaches to upscaling breakthrough behaviour is often limited by the availability of alternative concepts. Hence the need for models which can be applied to laboratory and field data. Simplified versions of the channel network models are derived, which possess known, closed form, solutions. At (relatively) short scales, channel network models are similar to channelling models, whereas over asymptotically large length scales they give rise to a generalized (Taylor) dispersive process. By considering time dependent breakthrough curves at various distances from a source we shall illustrate how such scale dependence is representative of that often observed in field tests.
Subject Headings: Hydraulic models | Field tests | Mathematical models | Saturated soils | Data processing | Scale models | Rock mechanics | Rocks
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