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

Trescott, Peter C.; Pinder, George Francis; Larson, S. P.

Abstract:

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.

Genre:

USGS Numbered Series

ProdID:

4724

Citation Author:

Trescott, Peter C.; Pinder, George Francis; Larson, S. P.

Citation Contributing Office:

Citation Datum:

Citation Day:

Citation Edition:

Revision -1976

Citation Editor:

Citation End Page:

Citation Issue:

Citation Keywords:

Citation Language:

ENGLISH

Citation Larger Work Title:

Citation LatN:

Citation LatS:

Citation LonE:

Citation LonW:

Citation Month:

Citation No Pagination:

Citation Number Of Pages:

Citation Online Only Flag:

Citation Phsyical Description:

vi, 116 p. :ill. ;26 cm. Reprinted in 1980, 1984.

Citation Projection:

Citation Public Comments:

Citation Publisher:

U.S. Dept. of the Interior, Geological Survey,

Citation Series:

Techniques of Water-Resource Investigation

Citation Series Code:

TWRI

Citation Series Number:

07-C1

Citation Search Results Text:

Finite difference model for aquifer simulation in two dimensions with results of numerical experiments; 1976; TWRI; 07-C1; Trescott, Peter C.; Pinder, George Francis; Larson, S. P.

Citation Start Page:

Citation Volume:

Citation Year:

1976

Type:

citation/reference

Text:

Finite difference model for aquifer simulation in two dimensions with results of numerical experiments; 1976; TWRI; 07-C1; Trescott, Peter C.; Pinder, George Francis; Larson, S. P.