Conditional moments of the breakthrough curves of kinetically sorbing solutes

We present a methodology for calculating the conditional temporal moments of kinetically sorbing solutes based on the conditional temporal moments of non-reactive tracers. The methodology is based on a Lagrangian description of solute transport in heterogeneous media, and it can be applied to a large variety of flow configurations and mass-transfer ratelimited processes. A stochastic approach is needed, as a deterministic description of the velocity field is usually not available. Conditioning the temporal moments on hydraulic conductivity or transmissivity measurements improves the accuracy and reduces the uncertainty in the results, as shown by a reduction in the variance of the travel time. We present results showing the effect of the geochemical parameters on the reduction in uncertainty obtained by conditioning.