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dc.contributor.advisorSunada, D. K.
dc.contributor.authorReddell, Donald Lee
dc.contributor.committeememberBreitenbach, E. A.
dc.contributor.committeememberWaltz, James P.
dc.contributor.committeememberEvans, Normal A.
dc.contributor.committeememberMorel-Seytoux, H. J.
dc.contributor.committeememberCorey, A. T.
dc.date.accessioned2021-10-12T22:18:55Z
dc.date.available2021-10-12T22:18:55Z
dc.date.issued1969-12
dc.descriptionDecember 1969.
dc.descriptionIncludes bibliographic references (pages 109-117).
dc.description.abstractA fundamental flow equation for a mixture of miscible fluids was derived by combining the law of conservation of mass, Darcy's law, and an equation of state describing the pressure-volume-temperature- concentration relationship. The result is an equation involving two dependent variables, pressure and concentration. A relationship for determining concentration was derived by expressing a continuity equation for the dispersed tracer. The problem was formulated on a microscopic basis and averaged over a cross-sectional area of the porous medium to give a macroscopic convective-dispersion equation. The resulting coefficient of dispersion was a second rank tensor. The two resulting differential equations are solved numerically on the digital computer. An implicit numerical technique was used to solve the flow equation for pressure and the method of characteristics with a tensor transformation was used to solve the convective-dispersion equation. The results from the flow equation were used in solving the convective-dispersion equation and the results from the convective-dispersion equation were then used to resolve the flow equation. The proposed computer simulator successfully solved the longitudinal dispersion problem and the longitudinal and lateral dispersion problem. Using the tensor transformation, problems of longitudinal and lateral dispersion were successfully solved in a rotated coordinate system. The computer simulator was used to solve the salt-water intrusion problem. The numerical results for the fresh water head in the aquifer closely matched those obtained analytically. Also, the numerical results for the location of the fresh-salt interface were good except in the region of the wedge toe.
dc.format.mediumdoctoral dissertations
dc.identifier.urihttps://hdl.handle.net/10217/233945
dc.languageEnglish
dc.publisherColorado State University. Libraries
dc.relationCatalog record number (MMS ID): 991004437069703361
dc.relationTC171.R43
dc.relation.ispartof1950-1979 - CSU Theses and Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.subject.lcshHydrodynamics
dc.subject.lcshPermeability
dc.titleDispersion in groundwater flow systems
dc.typeText
dcterms.rights.dplaThis Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
thesis.degree.disciplineAgricultural Engineering
thesis.degree.grantorColorado State University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy (Ph.D)


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