Abstract
The general equations of shallow free-surface flow in porous media are formally derived by an expansion similar to Friedrichs' (4) theory of shallow water-waves. The same equations are derived in an alternative way by a process of matching of asymptotic expansions, the shallow-flow approximation being obtained rigorously as an inner expansion. The first term of the expansion satisfies the same equations as the usual Dupuit-Forcheimer equations; however, a second-order term is for the first time presented.
| Original language | English |
|---|---|
| Pages (from-to) | 517-526 |
| Number of pages | 10 |
| Journal | Quarterly Journal of Mechanics and Applied Mathematics |
| Volume | 20 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1967 |
| Externally published | Yes |