Drying front in a sloping aquifer: Nonlinear effects

Analytical approximation for the recession of a sloping aquifer

An approximation is obtained for the recession of a sloping aquifer. The analytical approximation can provide a useful tool to analyze data and obtain physical properties of the aquifer. In contrast to the case of a horizontal aquifer, when plotting the time derivative of the flux versus the flux on a log scale, the result shows that the flux derivative reaches a minimum value and that the curv...

Nonlinear Diiusion in an Inhomogeneous Aquifer

Nonlinear diffusion in an inhomogeneous aquifer

A selection of these reports is available in PostScript form at the Faculty's anonymous ftp-Abstract We study the large-time behaviour and the behaviour of the interfaces of the nonlinear diiusion equation (x)u t = A(u) in one and two space dimensions. The function A is of porous media type, smooth but with a vanishing derivative at some values of u, and > 0 is supposed continuous and bounded f...

Linear and Nonlinear Stratified Spindown over Sloping Topography

In a stratified rotating fluid, frictionally driven circulations couple with the buoyancy field over sloping topography. Analytical and numerical methods are used to quantify the impact of this coupling on the vertical circulation, spindown of geostrophic flows, and the formation of a shelfbreak jet. Over a stratified. slope, linear spindown of a geostrophic along-isobath flow induces cross-iso...

Viscous stabilization of drying front: three-dimensional pore network simulations

In this study, a recently developed pore network drying model (Metzger et al. 2007a), which accounts for liquid viscosity, is applied to three dimensions for the first time. Isothermal convective drying is simulated for a cubic network (25×25×50) with pore throats of mono-modal radius distribution. The role of liquid viscosity is assessed by comparison with non-viscous drying of the same networ...