A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Modeling Water Flow in Variably Saturated Porous Soils and Alluvial Sediments
The sustainable exploitation of groundwater resources is a multifaceted and complex problem, which is controlled, among many other factors and processes, by water flow in porous soils and sediments. Modeling water flow in unsaturated, non-deformable porous media is commonly based on a partial differential equation, which translates the mass conservation principle into mathematical terms. Such an equation assumes that the variation of the volumetric water content () in the medium is balanced by the net flux of water flow, i.e., the divergence of specific discharge, if source/sink terms are negligible. Specific discharge is in turn related to the matric potential (h), through the non-linear Darcy–Buckingham law. The resulting equation can be rewritten in different ways, in order to express it as a partial differential equation where a single physical quantity is considered to be a dependent variable. Namely, the most common instances are the Fokker–Planck Equation (for ), and the Richards Equation (for h). The other two forms can be given for generalized matric flux potential () and for hydraulic conductivity (K). The latter two cases are shown to limit the non-linearity to multiplicative terms for an exponential K-to-h relationship. Different types of boundary conditions are examined for the four different formalisms. Moreover, remarks given on the physico-mathematical properties of the relationships between K, h, and could be useful for further theoretical and practical studies.
Modeling Water Flow in Variably Saturated Porous Soils and Alluvial Sediments
The sustainable exploitation of groundwater resources is a multifaceted and complex problem, which is controlled, among many other factors and processes, by water flow in porous soils and sediments. Modeling water flow in unsaturated, non-deformable porous media is commonly based on a partial differential equation, which translates the mass conservation principle into mathematical terms. Such an equation assumes that the variation of the volumetric water content () in the medium is balanced by the net flux of water flow, i.e., the divergence of specific discharge, if source/sink terms are negligible. Specific discharge is in turn related to the matric potential (h), through the non-linear Darcy–Buckingham law. The resulting equation can be rewritten in different ways, in order to express it as a partial differential equation where a single physical quantity is considered to be a dependent variable. Namely, the most common instances are the Fokker–Planck Equation (for ), and the Richards Equation (for h). The other two forms can be given for generalized matric flux potential () and for hydraulic conductivity (K). The latter two cases are shown to limit the non-linearity to multiplicative terms for an exponential K-to-h relationship. Different types of boundary conditions are examined for the four different formalisms. Moreover, remarks given on the physico-mathematical properties of the relationships between K, h, and could be useful for further theoretical and practical studies.
Modeling Water Flow in Variably Saturated Porous Soils and Alluvial Sediments
Mauro Giudici (author)
2023
Article (Journal)
Electronic Resource
Unknown
Metadata by DOAJ is licensed under CC BY-SA 1.0
Modeling Flow in Variably-Saturated Porous Media
| British Library Conference Proceedings | 1994
Suffusion Modeling in Variably Saturated Heterogeneous Soils
| Springer Verlag | 2025
Stochastic finite element modelling of water flow in variably saturated heterogeneous soils
| British Library Online Contents | 2011
Necessary conditions for inverse modeling of flow through variably saturated porous media
| British Library Online Contents | 2013
Efficient and robust numerical modeling of variably saturated flow in layered porous media
| British Library Conference Proceedings | 1998