Properties of Stochastic Flow and Permeability of Random Porous Media

Persistent Link:
http://hdl.handle.net/10150/193422
Title:
Properties of Stochastic Flow and Permeability of Random Porous Media
Author:
Goodman, Matthew R.
Issue Date:
2010
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:
Thermosolutal fluid flow has a strong influence on the evolution of solidification microstructures. While porous media theory and volume-averaged permeability relations give a basis to quantify these phenomena, traditional methods of permeability estimation used for random porous media fail to adequately characterize the full relation of microstructural morphology to volume-average permeability. Most significantly, the link between microstructural parameters and permeability is treated as a deterministic function at all scales, ignoring the variability inherent in porous media.The variation in permeability inherent to random porous media is investigated by the numerical solution of Stokes equations on an ensemble of porous media, which represent of many scales of sampling and morphological character. Based on volume-averaging and statistical treatment, the stochastic character of tensoral permeability in porous media is numerically investigated. Quantification of permeability variation and autocorrelation structure are presented as conditions, which future realistic stochastic permeability fields must respect.
Type:
text; Electronic Thesis
Keywords:
porous-media; solidification; stochastic; Stokes flow; tensoral permeability
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Materials Science & Engineering; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Erdmann, Robert G.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleProperties of Stochastic Flow and Permeability of Random Porous Mediaen_US
dc.creatorGoodman, Matthew R.en_US
dc.contributor.authorGoodman, Matthew R.en_US
dc.date.issued2010en_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.abstractThermosolutal fluid flow has a strong influence on the evolution of solidification microstructures. While porous media theory and volume-averaged permeability relations give a basis to quantify these phenomena, traditional methods of permeability estimation used for random porous media fail to adequately characterize the full relation of microstructural morphology to volume-average permeability. Most significantly, the link between microstructural parameters and permeability is treated as a deterministic function at all scales, ignoring the variability inherent in porous media.The variation in permeability inherent to random porous media is investigated by the numerical solution of Stokes equations on an ensemble of porous media, which represent of many scales of sampling and morphological character. Based on volume-averaging and statistical treatment, the stochastic character of tensoral permeability in porous media is numerically investigated. Quantification of permeability variation and autocorrelation structure are presented as conditions, which future realistic stochastic permeability fields must respect.en_US
dc.typetexten_US
dc.typeElectronic Thesisen_US
dc.subjectporous-mediaen_US
dc.subjectsolidificationen_US
dc.subjectstochasticen_US
dc.subjectStokes flowen_US
dc.subjecttensoral permeabilityen_US
thesis.degree.nameM.S.en_US
thesis.degree.levelmastersen_US
thesis.degree.disciplineMaterials Science & Engineeringen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairErdmann, Robert G.en_US
dc.contributor.committeememberDeymier, Pierre A.en_US
dc.contributor.committeememberPoirier, David R.en_US
dc.identifier.proquest11053en_US
dc.identifier.oclc752260966en_US
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