Finite-difference techniques in digital computer modeling of groundwater systems

Persistent Link:
http://hdl.handle.net/10150/191655
Title:
Finite-difference techniques in digital computer modeling of groundwater systems
Author:
Santillan Cruz, Victor Hugo,1948-
Issue Date:
1977
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
The main .purpose of this research effort is to provide a comprehensive insight into the current use of computerized finite-difference models that simulate the dynamic behavior of real groundwater systems in response to imposed stresses. A major stress is placed on the accurate representation of groundwater systems by a simulation approach (operations research technique). Finite-difference techniques are among the available methods to approximate the mathematical description of groundwater flow. Two specific finite-difference techniques are examined herein: the alternating direction implicit (ADI) algorithm and the asymmetrical network (ASYM) method. Application of these techniques is restricted in this report to two-dimensional flow in an isotropic, heterogeneous, water-table aquifer. A comparative evaluation of the AD1 and ASYM methods, in the representation of a hypothesized groundwater system, shows that both techniques are accurate and reliable. The ASYM method provides a more accurate assessment in those areas where water levels are varying rapidly. Also, it is superior to the ADI method when dealing with functional domains of irregular boundaries. The ADI representation of the hypothesized groundwater system required 33K of computer central memory and 1391CP seconds of execution time. The ASYM representation of the same hypothesized system required 29K of computer central memory and 325CP seconds of execution time.
Type:
Thesis-Reproduction (electronic); text
LCSH Subjects:
Hydrology.; Groundwater -- Mathematical models.; Digital computer simulation.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Hydrology and Water Resources; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Evans, Daniel D.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleFinite-difference techniques in digital computer modeling of groundwater systemsen_US
dc.creatorSantillan Cruz, Victor Hugo,1948-en_US
dc.contributor.authorSantillan Cruz, Victor Hugo,1948-en_US
dc.date.issued1977en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThe main .purpose of this research effort is to provide a comprehensive insight into the current use of computerized finite-difference models that simulate the dynamic behavior of real groundwater systems in response to imposed stresses. A major stress is placed on the accurate representation of groundwater systems by a simulation approach (operations research technique). Finite-difference techniques are among the available methods to approximate the mathematical description of groundwater flow. Two specific finite-difference techniques are examined herein: the alternating direction implicit (ADI) algorithm and the asymmetrical network (ASYM) method. Application of these techniques is restricted in this report to two-dimensional flow in an isotropic, heterogeneous, water-table aquifer. A comparative evaluation of the AD1 and ASYM methods, in the representation of a hypothesized groundwater system, shows that both techniques are accurate and reliable. The ASYM method provides a more accurate assessment in those areas where water levels are varying rapidly. Also, it is superior to the ADI method when dealing with functional domains of irregular boundaries. The ADI representation of the hypothesized groundwater system required 33K of computer central memory and 1391CP seconds of execution time. The ASYM representation of the same hypothesized system required 29K of computer central memory and 325CP seconds of execution time.en_US
dc.description.notehydrology collectionen_US
dc.typeThesis-Reproduction (electronic)en_US
dc.typetexten_US
dc.subject.lcshHydrology.en_US
dc.subject.lcshGroundwater -- Mathematical models.en_US
dc.subject.lcshDigital computer simulation.en_US
thesis.degree.nameM.S.en_US
thesis.degree.levelmastersen_US
thesis.degree.disciplineHydrology and Water Resourcesen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairEvans, Daniel D.en_US
dc.identifier.oclc212764268en_US
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