A free boundary problem for fluid flow through porous media
Carmine Di Nucci
TL;DR
This paper presents an analytical approach to determine the free boundary, velocity, and pressure fields in steady seepage flow through a dam, with results aligning with existing data.
Contribution
It introduces an approximate analytical model for the free boundary profile in steady seepage flow through porous media.
Findings
Analytical expression for free boundary profile derived.
Model results agree with literature data.
Provides a simplified method for free boundary estimation.
Abstract
This brief note addresses the free boundary problem arising from the steady two-dimensional seepage flow through a rectangular dam. The flow problem consists in finding the free boundary location, and the velocity and pressure fields. The problem solution is obtained by using an approximate model which provides the analytical expression for the free boundary profile. Within the range of validity of the model assumptions, the computational results show agreement with data in literature.
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Taxonomy
TopicsSoil and Unsaturated Flow · Advanced Numerical Methods in Computational Mathematics · Dam Engineering and Safety