Finite difference model for aquifer simulation in two dimensions with results of numerical experiments

Techniques of Water-Resources Investigations 07-C1
By: , and 



The model will simulate ground-water flow in an artesian aquifer, a water-table aquifer, or a combined artesian and water-table aquifer. The aquifer may be heterogeneous and anisotropic and have irregular boundaries. The source term in the flow equation may include well discharge, constant recharge, leakage from confining beds in which the effects of storage are considered, and evapotranspiration as a linear function of depth to water.

The theoretical development includes presentation of the appropriate flow equations and derivation of the finite-difference approximations (written for a variable grid). The documentation emphasizes the numerical techniques that can be used for solving the simultaneous equations and describes the results of numerical experiments using these techniques. Of the three numerical techniques available in the model, the strongly implicit procedure, in general, requires less computer time and has fewer numerical difficulties than do the iterative alternating direction implicit procedure and line successive overrelaxation (which includes a two-dimensional correction procedure to accelerate convergence).

The documentation includes a flow chart, program listing, an example simulation, and sections on designing an aquifer model and requirements for data input. It illustrates how model results can be presented on the line printer and pen plotters with a program that utilizes the graphical display software available from the Geological Survey Computer Center Division. In addition the model includes options for reading input data from a disk and writing intermediate results on a disk.

Publication type Report
Publication Subtype USGS Numbered Series
Title Finite difference model for aquifer simulation in two dimensions with results of numerical experiments
Series title Techniques of Water-Resources Investigations
Series number 07-C1
DOI 10.3133/twri07C1
Edition Revision -1976
Year Published 1976
Language English
Publisher U.S. Government Printing Office
Publisher location Washington, D.C.
Contributing office(s) Minnesota Water Science Center
Description vi, 116 p.
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