Abstract: Although the finite-difference method (FDM) has been commonly used to numerically solve Richard’s equation, numerical difficulties are often encountered, even for comparatively simple problems. To minimize convergence ...

Abstract: Richard’s equation governs the migration of moisture in the soil under unsaturated conditions. Although this differential equation provides a rigorous approach to simulating important infiltration problems, obtaining ...

Abstract: 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 ...

Abstract: An analytical solution for the advection-dispersion equation, including sorption effects, was first proposed by Akio Ogata and Robert Banks in 1961. This solution allows the computation of the percentage of dissipation of ...

Abstract: Models have been developed to represent soils, thereby establishing the unsaturated soil theory. Accurate models include physical deductions based on soil properties. The soil–water retention surface (SWRS) represents the ...

Abstract: Progress in the study of unsaturated soils and their application in practical geotechnics could be partially attributed to the advancement of their modeling and computational technologies. The soil–water retention curve ...

Abstract: Batch tests are extensively used in a wide range of fields, including environmental engineering, to forecast the impact of sorption on contaminant transportation in soil and wastewater treatment effectiveness. Recently, ...

Abstract: The hydraulic deposition process linked to tailings dams normally presents some technical deficiencies mainly because of the lack of control of hydraulic parameters. Problems of instability in tailings dams usually arise ...

Abstract: One of the most basic topics in soil mechanics is the geometrical features of the particles and the soil arrangement. Although these features are of high relevance, many definitions and processes used to evaluate them are ...

Abstract: This study presents a novel three-dimensional (3D) analytical solution to the Richards equation, which takes as a basis a linear unsaturated model that was previously proposed. Specifically, the partial differential equation ...