Some aspects of stochastic flow and transport in complex geologic media

Persistent Link:
http://hdl.handle.net/10150/278215
Title:
Some aspects of stochastic flow and transport in complex geologic media
Author:
Zhang, Dongxiao, 1967-
Issue Date:
1992
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:
This thesis has analyzed some aspects of stochastic flow and transport in geologic media with a random stationary and statistically isotropic hydraulic conductivity field. Explicit expressions for cross-covariances between velocity and head, and velocity and log conductivity as well as covariances of velocity under steady state uniform mean three-dimensional flow with an exponential log conductivity covariance are derived to first order and their structure is examined. An exact early time solution due to Batchelor for the mean concentration is compared with other existing stochastic solutions and its range of validity is determined for the case of an instantaneous point source. This early time solution is simpler and more general than any other stochastic transport solution at early time. A Monte Carlo simulation scheme is developed to study the ensemble behavior of solute particles traveling in such a field. The thesis concludes with a concentration estimation scheme conditioning on site measurements.
Type:
text; Thesis-Reproduction (electronic)
Keywords:
Hydrology.; Statistics.; Engineering, Civil.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Graduate College
Degree Grantor:
University of Arizona
Advisor:
Neuman, Shlomo P.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleSome aspects of stochastic flow and transport in complex geologic mediaen_US
dc.creatorZhang, Dongxiao, 1967-en_US
dc.contributor.authorZhang, Dongxiao, 1967-en_US
dc.date.issued1992en_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.abstractThis thesis has analyzed some aspects of stochastic flow and transport in geologic media with a random stationary and statistically isotropic hydraulic conductivity field. Explicit expressions for cross-covariances between velocity and head, and velocity and log conductivity as well as covariances of velocity under steady state uniform mean three-dimensional flow with an exponential log conductivity covariance are derived to first order and their structure is examined. An exact early time solution due to Batchelor for the mean concentration is compared with other existing stochastic solutions and its range of validity is determined for the case of an instantaneous point source. This early time solution is simpler and more general than any other stochastic transport solution at early time. A Monte Carlo simulation scheme is developed to study the ensemble behavior of solute particles traveling in such a field. The thesis concludes with a concentration estimation scheme conditioning on site measurements.en_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
dc.subjectHydrology.en_US
dc.subjectStatistics.en_US
dc.subjectEngineering, Civil.en_US
thesis.degree.nameM.S.en_US
thesis.degree.levelmastersen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorNeuman, Shlomo P.en_US
dc.identifier.proquest1350787en_US
dc.identifier.bibrecord.b25469757en_US
All Items in UA Campus Repository are protected by copyright, with all rights reserved, unless otherwise indicated.