A dynamic model is derived for the transport of a conservative solute along a stream connected to an aquifer contaminated by the solute. It relates downstream concentration to upstream concentration, stream discharge, and piezometric levels in the aquifer. Submodels for solute travel time in the stream and aquifer inflow into the stream are presented. In paper 2, (Jakeman et al., this issue), the model is applied to a reach of the River Murray in Australia and the model structure and probability distribution of parameter values are determined using linear system identification methods.
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