Heterogeneous Dispersive Henry Problem
نویسندگان
چکیده
The effect of heterogeneity on seawater intrusion is analyzed. Heterogeneity in hydraulic properties such as hydraulic conductivity is well known to significantly affect groundwater flow and solute transport. Yet, few studies [Mc Kribbin and O`Sullivan, 1980; Schincariol and Schwartz, 1990; Schincariol et al., 1997 and 1998; Simmons et al., 2001] have focused on evaluating the impact of heterogeneity on variable density flow. These works cannot be directly extended to saltwater intrusion problems, as they focus on instabilities caused by dense fluids overlying lighter ones and not on the opposite case. Our objective is to evaluate the effect of heterogeneity on the movement of the saltwater wedge and also on the thickness of the mixing zone.
منابع مشابه
A dispersive effective equation for wave propagation through spatio-temporal laminates
We consider the problem of wave propagation through one-dimensional spatio-temporal or dynamic laminates when the wavelength of the disturbance is large relative to the scale of the microstructure. Dynamic materials are heterogeneous formations assembled from materials which are distributed on a microscale in space and in time. Using the techniques of Floquet analysis and asymptotic expansions,...
متن کاملDr . Henry Samueli of Broadcom Delivered Opening Keynote Address at IEEE GLOBECOM
In this paper, two new modulation schemes using multilevel pulse-position modulation (PPM) for application in unipolar optical wireless systems are presented. Balanced incomplete block designs (BIBD) are used for constructing the symbol alphabets. Each symbol is obtained by combining multiple codewords of a BIBD code. In one scheme the symbols have equal energies, and therefore, no threshold is...
متن کاملThe effects of cut-off walls on repulsing saltwater based on modeling of density-driven groundwater flow and salt transport
Abstract: A two-dimensional fully implicit finite difference model, which can be easily extended to three dimensions, is developed to study the effect of cut-off walls on saltwater intrusion into the aquifers. This model consists of a coupled system of two nonlinear partial differential equations which describe unsteady density-driven groundwater flow and solute transport. The numerica...
متن کاملUpscaling Mass Transport with Homogeneous and Heterogeneous Reaction in Porous Media
The upscaling process of mass transport with chemical reaction in porous media is carried out using the method of volume averaging under diffusive and dispersive conditions. We study cases in which the (first-order) reaction takes place in the fluid phase that saturates the porous medium or when the reaction occurs at the solid-fluid interface. The upscaling effort leads to average transport eq...
متن کاملFinite Volume Methods for Nonlinear Elasticity in Heterogeneous Media
An approximate Riemann solver is developed for the equations of nonlinear elasticity in a heterogeneous medium, where each grid cell has an associated density and stress-strain relation. The nonlinear flux function is spatially varying and a wave decomposition of the flux difference across a cell interface is used to approximate the wave structure of the Riemann solution. This solver is used in...
متن کامل