Stochastic Foundation to Solving Transient Unsaturated Flow Problems Using a Fractional Dispersion Term

Mathematical modeling of unsaturated water seepage through soils uses the core concepts of continuum mechanics. More precisely, it combines the continuum mass balance equation and Darcy–Buckingham Law into the Richards equation for water flow in an unsaturated porous medium. This paper proposes the possibility of an interpretation following another perspective: using the concepts of statistical mechanics and the movement of quasi-molecules of...