A model for the simulation of flow of variable-density ground water in three dimensions under steady-state conditions

Weiss, Emanuel

doi:10.3133/ofr82352

Cited by 23 publications

(30 citation statements)

References 6 publications

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“…Also, the VDF Process can be used without the IMT Process, which allows for fast variable‐density simulations, but only if it can be assumed that fluid density remains constant during the simulation. This type of variable‐density simulation would be similar to those represented by Weiss (1982), Maas and Emke (1988), and Olsthoorn (1996). Langevin et al (2003) provide a description of the processes and their compatibility in SEAWAT‐2000.…”

Section: Model Descriptionmentioning

confidence: 65%

“…MODFLOW‐based codes designed to simulate variable‐density flow typically solve a formulation of the ground water flow equation in terms of equivalent fresh water head. Weiss (1982) was one of the first to recast the ground water flow equation in this form. With the equivalent fresh water head formulation, density effects can be incorporated into a constant‐density flow model as “pseudosources.”Lebbe (1983) also implemented an equivalent fresh water head formulation of the flow equation by modifying the method of characteristics program (Konikow and Bredehoeft 1978) to simulate variable‐density flow.…”

Section: Introductionmentioning

confidence: 99%

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MODFLOW/MT3DMS–Based Simulation of Variable‐Density Ground Water Flow and Transport

Langevin¹,

2005

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This paper presents an approach for coupling MODFLOW and MT3DMS for the simulation of variabledensity ground water flow. MODFLOW routines were modified to solve a variable-density form of the ground water flow equation in which the density terms are calculated using an equation of state and the simulated MT3DMS solute concentrations. Changes to the MODFLOW and MT3DMS input files were kept to a minimum, and thus existing data files and data files created with most pre-and postprocessors can be used directly with the SEAWAT code. The approach was tested by simulating the Henry problem and two of the saltpool laboratory experiments (low-and high-density cases). For the Henry problem, the simulated results compared well with the steady-state semianalytic solution and also the transient isochlor movement as simulated by a finite-element model. For the saltpool problem, the simulated breakthrough curves compared better with the laboratory measurements for the low-density case than for the high-density case but showed good agreement with the measured salinity isosurfaces for both cases. Results from the test cases presented here indicate that the MODFLOW/MT3DMS approach provides accurate solutions for problems involving variable-density ground water flow and solute transport.

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Section: Model Descriptionmentioning

confidence: 65%

Section: Introductionmentioning

confidence: 99%

MODFLOW/MT3DMS–Based Simulation of Variable‐Density Ground Water Flow and Transport

Langevin¹,

2005

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“…The formulation is written in terms of vertically integrated fluxes. Weiss [1982] and Maas and Emke [1988] used vertically integrated fluxes to simulate instantaneous flow fields, but did not consider the evolution of the density distribution through time. Both formulations result in the same differential equation as for single‐density flow, but with an additional pseudosource term representing the density effects.…”

Section: Introductionmentioning

confidence: 99%

A Dupuit formulation for modeling seawater intrusion in regional aquifer systems

Bakker

2003

Water Resources Research

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[1] A new formulation is presented for the modeling of seawater intrusion in coastal multiaquifer systems. The formulation is intended for the simulation of three-dimensional regional seawater intrusion starting from a specified salinity distribution. The Dupuit approximation is adopted, and diffusion and dispersion are not taken into account. The formulation is 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). The zones are separated from each other by curved surfaces, representing interfaces for stratified flow and isosurfaces of the density for variable density flow. During a simulation both the change of the elevations of the surfaces and the change in head are computed through consistent application of continuity of flow; a simple tip and toe tracking algorithm is applied to simulate the horizontal movement of the surfaces. The resulting differential equations are equivalent in form to the differential equation for single-density flow. The density effects are incorporated through the addition of pseudosource terms. This makes it easy to implement the formulation in existing numerical groundwater codes. The main advantage of the formulation is the tremendous reduction of the number of cells needed for a simulation because every aquifer may be represented by a single layer of cells. The accuracy of the formulation is demonstrated through comparison with existing exact solutions and a numerical solution.

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“…Three-dimensional (Variable density) (Weiss, 1982 Three-dimensional (Variable density) (Kuiper, 1985).................... 39…”

Section: 35mentioning

confidence: 99%

Selected reports that include computer programs produced by the US Geological Survey for simulation of ground-water flow and quality

Appel¹,

Reilly²

1988

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A model for the simulation of flow of variable-density ground water in three dimensions under steady-state conditions

Cited by 23 publications

References 6 publications

MODFLOW/MT3DMS–Based Simulation of Variable‐Density Ground Water Flow and Transport

MODFLOW/MT3DMS–Based Simulation of Variable‐Density Ground Water Flow and Transport

A Dupuit formulation for modeling seawater intrusion in regional aquifer systems

Selected reports that include computer programs produced by the US Geological Survey for simulation of ground-water flow and quality

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