We present a new analytical solution that relates travel distance and time for movement of a solute into a confined aquifer to the increase in river stage (H), and aquifer parameters hydraulic conductivity, storativity (S), porosity (θ), and aquifer thickness (b). Combining solute travel time with an existing solution for pressure travel time yields a ratio that is solely a function of H, S, θ, and b.
A 2D numerical model of an aquifer slice perpendicular to a river was constructed in FEFLOW. Simulations of a confined system indicate good agreement with solute and pressure travel times predicted by the analytical solutions. The applicability of the relationships to unconfined systems is evaluated through simulations in an equivalent model that explicitly includes the unsaturated zone. Sensitivity analysis indicates that the predicted relationships generally hold, providing that unsaturated zone storage is appropriately represented.
The utility of the method for estimating aquifer thickness and storage is tested using extended time series data from an observation bore. The field example indicates that co-measurement of pressure and EC and application of the analytical relationships can reasonably estimate aquifer thickness using standard ratios for storage parameters, or conversely, if aquifer thickness is known, can provide an estimate of the storage parameters.
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