A generalized equation for the shape of the water table between two base levels

Persistent Link:
http://hdl.handle.net/10150/191644
Title:
A generalized equation for the shape of the water table between two base levels
Author:
Ajayi, Owolabi
Issue Date:
1976
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 steady-state, water table profile of unconfined aquifer systems bounded by streams is examined theoretically, and an analytical solution is obtained that is more general than heretofore encountered in the literature. The solution incorporates the Dupuit-Forchheimer assumptions as applicable to free-surface flows, and includes a non-horizontal lower boundary and unequal drainage levels as variables. A computer program is given to obtain solutions to numerical problems. Some selected solutions are presented as non-dimensional type curves for determining the location and magnitude of the highest point on the water table between the two base levels. The dimensionless ratio of recharge to hydraulic conductivity, P, is found to determine the maximum elevation of the water table (hMAX). For a symmetrical water table aquifer, this ratio is critical in determining hMAX for values of dimensionless H (ratio of the base level height to distance between the two base levels) up to 0.05. For aquifers having unequal base levels, the dimensionless ratio of A/P (A = H1² - H2²; H1 = H₁/L; H2 = H₂/L) determines the location of hMAX (or XMAX). For values of A/P less than or equal to 0.1, hMAX is essentially located halfway between the two base levels. In the case of aquifers having equal base levels, but bounded by inclined lower boundaries, for any given slope, XMAX depends on H.
Type:
Thesis-Reproduction (electronic); text
LCSH Subjects:
Hydrology.; Water table -- Mathematical models.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Hydrology and Water Resources; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Simpson, Eugene S.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleA generalized equation for the shape of the water table between two base levelsen_US
dc.creatorAjayi, Owolabien_US
dc.contributor.authorAjayi, Owolabien_US
dc.date.issued1976en_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 steady-state, water table profile of unconfined aquifer systems bounded by streams is examined theoretically, and an analytical solution is obtained that is more general than heretofore encountered in the literature. The solution incorporates the Dupuit-Forchheimer assumptions as applicable to free-surface flows, and includes a non-horizontal lower boundary and unequal drainage levels as variables. A computer program is given to obtain solutions to numerical problems. Some selected solutions are presented as non-dimensional type curves for determining the location and magnitude of the highest point on the water table between the two base levels. The dimensionless ratio of recharge to hydraulic conductivity, P, is found to determine the maximum elevation of the water table (hMAX). For a symmetrical water table aquifer, this ratio is critical in determining hMAX for values of dimensionless H (ratio of the base level height to distance between the two base levels) up to 0.05. For aquifers having unequal base levels, the dimensionless ratio of A/P (A = H1² - H2²; H1 = H₁/L; H2 = H₂/L) determines the location of hMAX (or XMAX). For values of A/P less than or equal to 0.1, hMAX is essentially located halfway between the two base levels. In the case of aquifers having equal base levels, but bounded by inclined lower boundaries, for any given slope, XMAX depends on H.en_US
dc.description.notehydrology collectionen_US
dc.typeThesis-Reproduction (electronic)en_US
dc.typetexten_US
dc.subject.lcshHydrology.en_US
dc.subject.lcshWater table -- Mathematical models.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.chairSimpson, Eugene S.en_US
dc.contributor.committeememberKafri, Urien_US
dc.contributor.committeememberNeuman, Shlomo P.en_US
dc.identifier.oclc212768368en_US
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