Journal ArticleDOI
A Dupuit-Forchheimer Model for three-dimensional flow with variable density
TLDR
In this article, a mathematical framework is presented for three-dimensional shallow groundwater flow with variable density, which is based on the Dupuit-Forchheimer assumption, and the problem is posed in terms of a discharge potential that satisfies the same differential equation as the discharge potentials for single-density flow.Abstract:
A mathematical framework is presented for three-dimensional shallow groundwater flow with variable density. The formulation is based on the Dupuit-Forchheimer assumption. The problem is posed in terms of a discharge potential that satisfies the same differential equation as the discharge potentials for single-density flow. The freshwater head, defined as the pressure divided by the unit weight of fresh water plus the elevation head, may be computed as a function of position in three dimensions from the potential and a known density distribution. The density distribution may be approximated using the multiquadrics interpolator. It is explained how the change in density may be computed as a function of time. Discontinuities in the aquifer properties cause a jump in the normal component of flow for flow fields computed with the Dupuit-Forchheimer approximation. An interpretation of this jump is given by comparison with an exact formulation, which makes it possible to obtain the approximate streamlines as they cross discontinuities.read more
Citations
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Journal ArticleDOI
Incorporating the concept of equivalent freshwater head in successive horizontal simulations of seawater intrusion in the Nile Delta aquifer, Egypt
TL;DR: In this article, a 3D finite element variable density model (FEFLOW) is employed to study seawater intrusion problems in coastal aquifers in the Nile Delta aquifer in Egypt.
Journal ArticleDOI
Groundwater flow through anisotropic fault zones in multiaquifer systems
Erik I. Anderson,Mark Bakker +1 more
TL;DR: In this article, the authors investigate the effects of vertical anisotropy of a fault zone on the distribution of hydraulic head within the fault, using an analytic solution, and conclude that anisotropic ratios greater than 100 result in nearly hydrostatic conditions within the fracture zone, despite the existence of significant vertical flow rates.
MOC3D adapted to simulate 3D density-dependent groundwater flow
TL;DR: In this article, the authors adapted the three-dimensional computer code MOC3D (Konikow et al., 1996) for density differences: MOCDENS3D. As a result, it is possible to model transient threedimensional groundwater flow in large-scale hydrogeologic systems where nonuniform density distributions occur.
Journal ArticleDOI
Quasi-horizontal circulation cells in 3D seawater intrusion
TL;DR: The seawater intrusion process is characterized by the difference in freshwater and seawater density that causes freshwater to float on seawater as mentioned in this paper, and the effective gravity is controlled by the slope and the shape of the aquifer boundaries.
Journal ArticleDOI
A Dupuit formulation for modeling seawater intrusion in regional aquifer systems
TL;DR: In this paper, a new formulation is presented for the modeling of seawater intrusion in coastal multiaquifer systems, based on a vertical discretization of the groundwater into zones of either constant density (stratified flow) or continuously varying density (piecewise linear in the vertical direction).
References
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Book
Dynamics of fluids in porous media
TL;DR: In this paper, the Milieux poreux Reference Record was created on 2004-09-07, modified on 2016-08-08 and the reference record was updated in 2016.
Journal ArticleDOI
Multiquadric equations of topography and other irregular surfaces
TL;DR: In this paper, a method of representing irregular surfaces that involves the summation of equations of quadric surfaces having unknown coefficients is described, and procedures are given for solving multiquadric equations of topography that are based on coordinate data.
Book ChapterDOI
Interpolation of scattered data: Distance matrices and conditionally positive definite functions
TL;DR: In this paper, it was shown that multiquadric surface interpolation is always solvable, thereby settling a conjecture of R Franke, which is a conjecture that was later proved in the present paper.
SUTRA (Saturated-Unsaturated Transport). A Finite-Element Simulation Model for Saturated-Unsaturated, Fluid-Density-Dependent Ground-Water Flow with Energy Transport or Chemically-Reactive Single-Species Solute Transport.
TL;DR: SUTRA as mentioned in this paper is a computer program which simulates fluid movement and the transport of either energy or dissolved substances in a subsurface environment, which employs a two-dimensional hybrid finite-element and integrated-finite-difference method to approximate the governing equations that describe the two interdependent processes that are simulated by SUTRA.