Spreading of a Gravity Current over a Permeable Surface

Abstract

Plane inertial gravity currents running over horizontal permeable surfaces are studied. An analytical simple model based on local and global balances is derived which describes the propagation and infiltration of an incompressible dense fluid on and through the surface. Results of laboratory experiments are presented which are in accordance with scaling laws suggested analytically. It is found that the loss of mass, the velocity, and the position of the front of the current follow exponential relationships. The dynamics is governed by a particular decay time related to the initial volume released and reduced gravity