Deterministic and random Isogeometric analysis of fluid flow in unsaturated soils
<p>The main objective of this research is to use IGA as an efficient and robust alternative for numerical simulation of unsaturated seepage problems. Moreover, this research develops an IGA-based probabilistic framework that can properly account for the variability of soil hydraulic properties...
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ndltd-MSSTATE-oai-library.msstate.edu-etd-10262017-1627332019-05-15T18:44:00Z Deterministic and random Isogeometric analysis of fluid flow in unsaturated soils Shahrokhabadi , Shahriar Civil and Environmental Engineering <p>The main objective of this research is to use IGA as an efficient and robust alternative for numerical simulation of unsaturated seepage problems. Moreover, this research develops an IGA-based probabilistic framework that can properly account for the variability of soil hydraulic properties in the simulations. In the first part, IGA is used in a deterministic framework to solve a head-based form of Richards equation. It is shown that IGA is able to properly simulate changes in pore pressure at the soils interface. In the second part of this research, a new probabilistic framework, named random IGA (RIGA), is developed. A joint lognormal distribution function is used with IGA to perform Monte Carlo simulations. The results depict the statistical outputs relating to seepage quantities and pore water pressure. It is shown that pore water pressure, flow rate, etc. change considerably with respect to standard deviation and correlation of the model parameters.</p> Farshid Vahedifard John F. Peters Shantia Yarahmadian MSSTATE 2017-12-12 text application/pdf http://sun.library.msstate.edu/ETD-db/theses/available/etd-10262017-162733/ http://sun.library.msstate.edu/ETD-db/theses/available/etd-10262017-162733/ en unrestricted I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, Dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Mississippi State University Libraries or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, Dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, Dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, Dissertation, or project report. |
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Civil and Environmental Engineering |
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Civil and Environmental Engineering Shahrokhabadi , Shahriar Deterministic and random Isogeometric analysis of fluid flow in unsaturated soils |
description |
<p>The main objective of this research is to use IGA as an efficient and robust alternative for numerical simulation of unsaturated seepage problems. Moreover, this research develops an IGA-based probabilistic framework that can properly account for the variability of soil hydraulic properties in the simulations. In the first part, IGA is used in a deterministic framework to solve a head-based form of Richards equation. It is shown that IGA is able to properly simulate changes in pore pressure at the soils interface. In the second part of this research, a new probabilistic framework, named random IGA (RIGA), is developed. A joint lognormal distribution function is used with IGA to perform Monte Carlo simulations. The results depict the statistical outputs relating to seepage quantities and pore water pressure. It is shown that pore water pressure, flow rate, etc. change considerably with respect to standard deviation and correlation of the model parameters.</p> |
author2 |
Farshid Vahedifard |
author_facet |
Farshid Vahedifard Shahrokhabadi , Shahriar |
author |
Shahrokhabadi , Shahriar |
author_sort |
Shahrokhabadi , Shahriar |
title |
Deterministic and random Isogeometric analysis of fluid flow in unsaturated soils |
title_short |
Deterministic and random Isogeometric analysis of fluid flow in unsaturated soils |
title_full |
Deterministic and random Isogeometric analysis of fluid flow in unsaturated soils |
title_fullStr |
Deterministic and random Isogeometric analysis of fluid flow in unsaturated soils |
title_full_unstemmed |
Deterministic and random Isogeometric analysis of fluid flow in unsaturated soils |
title_sort |
deterministic and random isogeometric analysis of fluid flow in unsaturated soils |
publisher |
MSSTATE |
publishDate |
2017 |
url |
http://sun.library.msstate.edu/ETD-db/theses/available/etd-10262017-162733/ |
work_keys_str_mv |
AT shahrokhabadishahriar deterministicandrandomisogeometricanalysisoffluidflowinunsaturatedsoils |
_version_ |
1719086276450189312 |