Particular cases of groundwater flow along a hillslope are studied using the groundwater hydraulic theory (e.g., Dupuit approximation) described by the Boussinesq equation. Analytical solutions are found as simple transformations of known similarity solutions. In particular, the expressions for phreatic surface level and volume flux and the corresponding loop-rating curve for the flow of a groundwater mound as well as the travelling wave solutions of the Boussinesq equation are described in detail.
All Science Journal Classification (ASJC) codes
- Water Science and Technology
- Boussinesq equation
- Dupuit approximation
- Similarity solution