# Documentation of a finite-element two-layer model for simulation of ground-water flow

by Michael J. Mallory

Publisher: U.S. Geological Survey, Water Resources Division in Menlo Park, Calif

Written in English

## Subjects:

• Groundwater -- Mathematical models.,
• Groundwater flow.

## Edition Notes

The Physical Object ID Numbers Statement by Michael J. Mallory. Series Water resources investigations - United States Geological Survey, Water Resources Division -- 79-18 Contributions San Bernardino Valley Municipal Water District (Calif.) Pagination iv, 347 p. : Number of Pages 347 Open Library OL22990803M

6-A4. A modular finite-element model (MODFE) for areal and axisymmetric ground-water-flow problems, Part 2: Derivation of finite-element equations and comparisons with analytical solutions, by R.L. Cooley: USGS-- TWRI Book 6, Chapter A4. pages. 6-A5. In this study, a water balance model incorporating a two-dimensional finite element groundwater flow model of the saturated-unsaturated zone is presented. This model takes into consideration different hydrologie parameters such as rainfall, soil evaporation, crop transpiration, inter­ ception, infiltration, depression storage, and surface runoff. In this study, finite difference method is used to solve the equations that govern groundwater flow to obtain flow rates, flow direction and hydraulic heads through an aquifer. The aim therefore is to discuss the principles of Finite Difference Method and its applications in groundwater modelling. To achieve this, a rectangular grid is overlain an aquifer in order to obtain an exact solution. In this coupled model, surface water flow is described by the depth-averaged shallow water equations, while ground water is modeled by saturated Darcy flow. The coupling between the two models assumes continuity of pressure and water flux across the ground water/surface water interface. The coupled model is approximated by a local discontinuous.

Eve L. Kuniansky has served as the Southeastern Region Groundwater Specialist since , providing technical assistance to groundwater projects and data collection throughout the southeastern USA, Puerto Rico, and the Virgin has always liked science and nature and earned a degree in physics from Franklin and Marshall College in and Bachelor of Civil Engineering , with. A Modular Finite-Element model (MODFE) for areal and axisymmetric grou L. J. Torak Ground-water hydrology and simulation of ground-water flow at Operable J. Hal Davis , Pollution, Computer simulation, Accessible book, Environmental aspects, Measurement, Congresses, Water quality, Protected. Book 3, Techniques of Water-Resources Investigations of the United Review of Ground-Water Flow and Transport Models in the Unsaturated Zone, Report No. NUREG/CR, PNL, Pacific Northwest Pinder, G. F. A Galerkin finite element simulation of groundwater contamination in Long Island, New York. Water Resources Research, Vol. Zheng, C., & Wang, P. P. () MT3DMS: a modular three-dimensional multi-species model for simulation of advection, dispersion and chemical reactions of contaminants in ground water systems: documentation and user’s guide. Report SERDPVicksburg, Mississippi: U.S. Army Engineer Research and Development Center. Google Scholar.

Voss, C.I., , A finite-element simulation model for saturated-unsaturated, fluid-density-dependent ground-water flow with energy transport or chemically-reactive single-species solute transport: U.S. Geological Survey Water-Resources Investigations Report , p. Figures Figure 1. Location of the Atlantic Coastal Plain Province. ground-water flow model, by S.A. Leake and D.E. Prudic. 68 pages. TWRI 6-A4. A modular finite-element model (MODFE) for areal and axisymmetric ground-water flow problems, Part 2: Derivation of finite-element equations and comparisons with analytical solutions, by R.L. Cooley. pages. TWRI 7-Cl. Voss, C.E., , SUTRA, A finite-element simulation model for saturated-unsaturated, fluid-density-dependent ground-water flow with energy transport or chemically-reactive single-species solute transport: U.S. Geological Survey Water-Resources Investigations Report , p. FEFLOW: A Finite‐Element Ground Water Flow and Transport Modeling Tool Mike G. Trefry CSIRO Land and Water, Private Bag 5, Wembley , Australia; @

## Documentation of a finite-element two-layer model for simulation of ground-water flow by Michael J. Mallory Download PDF EPUB FB2

A finite element model is documented for simulation of ground water flow in a two-aquifer system where the two aquifers are coupled by a leakage term that represents flow through a confining layer separating the two aquifers.

The computer program, FORTRAN 4 computer language, is described in : M. Mallory. Documentation of a finite-element two-layer model for simulation of ground-water flow.

Menlo Park, Calif.: U.S. Geological Survey, Water Resources Division, (OCoLC) Material Type: Government publication, National government publication: Document Type: Book.

DOCUMENTATION Cooley, R.L.,A MODular Finite-Element model (MODFE) for areal and axisymmetric ground-water-flow problems, part derivation of finite-element equations and comparisons with analytical solutions: U.S. Geological Survey Techniques of Water-Resources Investigations, book 6, chap.

Torak, L.J., a, A MODular Finite. Torak, L.J, a, Model description and user's manual, Part 1 of A MODular Finite-Element model (MODFE) for areal and axisymmetric ground-water-flow problems: U.S. Geological Survey Techniques of Water-Resources Investigations, book 6, chap. A3, p. Costantino Masciopinto, Angela Volpe, Domenico Palmiotta, Claudia Cherubini, A combined PHREEQC-2/parallel fracture model for the simulation of laminar/non-laminar flow and contaminant transport with reactions, Journal of Contaminant Hydrology, /d, (), ().Cited by:   Ground water modeling requires a wide range of models for different types of problems and applications.

FEFLOW is an advanced Finite-Element subsurface FLOW and transport modeling system with an. Finite Element Subsurface Flow & Transport Simulation System II.3 Setting up the Model 17 II Creating the Finite Element Mesh 17 II Loading Background Maps 17 Therefore some background knowledge of ground-water hydraulics and groundwater modeling is required.

They may also be used to predict some future ground-water flow. Some of the established solution techniques available for solving the governing equations of the model are Finite Difference and Finite Element ap-proximation or a combination of both provided that model parameters and initial and boundary conditions are properly specified.

We pioneered conceptual modeling and have refined it over many years. That's why GMS is the quickest and most intuitive groundwater modeling interface available.

Construct a high level representation of the model using familiar GIS objects: points, arcs and polygons and easily update the model as needed. Documentation of a computer program to simulate aquifer-system compaction using the modular finite-difference ground-water flow model.

U.S. Geological Survey Techniques of Water—Resources Investigations, book 6, chapter. Google Scholar. Ground-water flow modeling is an important tool fre-quently used in studies of ground-water systems.

Reviewers and users of these studies have a need to evaluate the accuracy or reasonableness of. A MODular, Finite-Element digital-computer program (MODFE) was developed to simulate steady or unsteady-state, two-dimensional or axisymmetric ground-water flow. Geometric- and hydrologic-aquifer characteristics in two spatial dimensions are represented by triangular finite elements and linear basis functions; one-dimensional finite elements and linear basis functions represent time.

A MODular Finite-Element, digital-computer program (MODFE) was developed to simulate steady or unsteady-state, two-dimensional or axisymmetric ground-water-flow.

The modular structure of MODFE places the computationally independent tasks that are performed routinely by digital-computer programs simulating ground-water flow into separate subroutines, which are executed from the main program.

A three-dimensional numerical model has been coded to use the strongly implicit procedure for solving the finite-difference approximations to the ground-water flow equation. The model allows for: (1) the representation of each aquifer and each confining bed by several layers; and (2) the use of an anisotropic hydraulic conductivity at each.

This report documents a two-dimensional finite element model, SAMFT2D, developed to simulate single-phase and multiphase fluid flow and solute transport in variably saturated porous media. The formulations of the governing equations and the numerical procedures used in the code for single-phase and multiphase flow and transport are presented.

FEFLOW is an acronym of Finite Element subsurface FLOW simulation system and solves the governing flow, mass and heat transport equations in porous and fractured media by a multidimensional finite element method for complex geometric and parametric situations including variable fluid density, variable saturation, free surface(s), multispecies reaction kinetics, non-isothermal flow and.

Finite Element Example: Solute Dispersion in Uniform Flow Field. Concluding Remarks. Appendixes: Anisotropy and Tensors. soft-bound book is a very good treatment of numerical methods applied to modeling ground water book will also be valuable as a reference for practitioners working in the area of ground water flow.

I personally. A modular finite-element model (MODFE) for areal and axisymmetric ground-water-flow problems, Part 1: Model Description and User’s Manual, by L.J.

Torak. pages. A modular finite-element model (MODFE) for areal and axisymmetric ground-water flow problems, Part 2: Derivation of. Mallory, M.J.,Documentation of a finite-element two-layer model for simulation of ground-water flow: U.S. Geological Survey, Water Resources Investigation Reportp., 2 fig.

A finite-element simulation model for saturated-unsaturated, fluid-density-dependent ground-water flow with energy transport or chemically-reactive single-species solute transport. SUTRA may be employed for areal and cross-sectional modeling of saturated ground-water flow systems, and for cross-sectional modeling of unsaturated zone flow.

Book Author(s): Paul van der Heijde. Search for more papers by this author. Yahuda Bachmat. Search for more papers by this author. John Bredehoeft. Search for more papers by this author. Barbara Andrews. Search for more papers by this author.

David Holtz. Voss CI () Finite‐element simulation of multiphase geothermal reservoirs: Computer code documentation. Princeton University Water Resources Program Report, 78‐WR‐ Pinder GF, Voss CI () AQUIFEM - A finite-element model for aquifer evaluation (Documentation). ReportDept of Water Resources Engineering, Royal Institute of.

Application of the Finite Element Method to Vertically Stratified Hydrodynamic Flow and Water finite element methods, stratified flow, two-dimensional flow, reservoir modeling, water quality, computer modeling Also included are some results obtained by the model from the simulation of temperature and dissolved oxygen for Lake Taneycomo.

A modular finite-element model (MODFE) for areal and axisymmetric ground-water-flow problems, Part 3: Design philosophy and programming details, by L.J.

Torak: USGS–TWRI book 6, chap. A5, p. 6-A6. A coupled surface-water and ground-water flow model (MODBRANCH) for simulation of stream-aquifer interaction by. 6-A2. Documentation of a computer program to simulate aquifer-system compaction using the modular finite-difference ground-water flow model, by S.

Leake and D. Prudic: USGS— TWRI Book 6, Chapter A2. 68 pages. 6-A3. A modular finite-element model (MODFE) for areal and axisymmetric ground-water-flow problems, Part 1: Model. The book covers both finite difference and finite element methods and includes practical sample programs that demonstrate theoretical points described in the text.

Each chapter is followed by problems, notes, and references to additional s: 6. The three-dimensional, finite-difference model, FTWORK, may be used to simulate groundwater flow and solute transport processes in fully saturated porous media.

The model solves the flow and transport equations separately. Transport mechanisms considered include: advection, hydrodynamic dispersion, adsorption, and radioactive decay.

Lecture Packet #9: Numerical Modeling of Groundwater Flow Simulation: The prediction of quantities of interest (dependent variables) based upon an equation or series of equations that describe system behavior under a set of assumed simplifications. Groundwater Flow Simulation • Predict hydraulic heads (1D, 2D, 3D).

Cooley, R.L.,A modular finite-element model (MODFE) for areal and axisymmetric ground-water flow problems, Part Derivation of finite- element equations and comparisons with analytical solutions: U.S.

Geological Survey Techniques of Water-Resources Investigations, book 6, chap. A4, p. In this 5 year-long project a 3-dimensional transient groundwater flow model of the Death Valley region was developed (Faunt et al., a). The transient groundwater flow model was constructed using MODFLOW The finite difference model consists of.

Modelling Water Flow in Unsaturated Porous Media Accounting for Nonlinear Permeability and Material Heterogeneity. Written By: tisy on No Comment. Users Guide For Riv2 A Package For Routing And Accounting Of.Because of its ability to treat both regions with irregular boundaries and with different material types, the finite element method is increasingly being applied to surface water and soil transport problems and this is the focus of the present volume.

The method is ideally suited to simulation of complex real applications for resolving environmental issues and for conducting environmental.A significant increase in the use of numerical methods occurred in the first half of the s, with the appearance of the Prickett-Lonnquist Aquifer Simulation Model (PLASM) and the U.S.

Geological Survey (USGS) model, which solved the three-dimensional groundwater flow model based on the finite difference method.