This day of the GEOframe Summer School is dedicated to the soil transport in GEOSPACE solving the Advection-Dispersion Equation using the approach presented in Casulli and Zanolli, 2005.
You can find the GEOframe projects and material at this OSF page.
Advection Dispersion Equation - Solute Transport
Casulli, Vincenzo, and Paola Zanolli. 2005. “High Resolution Methods for Multidimensional Advection–diffusion Problems in Free-Surface Hydrodynamics.” Ocean Modelling 10 (1): 137–51. https://doi.org/10.1016/j.ocemod.2004.06.007.