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Prediction and modeling of permeability function and its application to the evaluation of breakthrough suction of a two-layer capillary barrier
Yan, W. M.; Chiu, C. F.; Yuen, Ka-Veng
2017-06
Source PublicationCANADIAN GEOTECHNICAL JOURNAL
ISSN0008-3674
Volume54Issue:6Pages:778-788
AbstractDifferent empirical formulas have been proposed to describe the water retention curve (WRC) and relative permeability (k(r)) of soils. This paper presents a Bayesian framework that evaluates not only the most probable empirical fitting constants, but also their joint probability density function. A dataset containing two soil classes - sand and silty loam - compiled from the UNSODA database is used for illustration. First, model constants of the van Genuchten's WRC formula are calibrated and subsequently used to predict k(r) of the studied soils using two existing formulas based on Mualem's and Burdine's models. The best estimated k(r) in both formulas is found to skew towards the lower side of the measurement. Then, a new three-parameter empirical formula is proposed to describe k(r) with suction while the model constants are calibrated from the permeability data. Using the proposed framework, the statistical distribution of k(r) and subsequently the unsaturated permeability (k(unsat)), as a function of suction, can be obtained. The results are then applied to a hypothetical two-layer capillary barrier composed of soils of the compiled dataset to determine the breakthrough suction (psi(BT)) of the barrier. The proposed Bayesian approach gives a probabilistic distribution of psi(BT) instead of a single value in the traditional deterministic method.
KeywordBayesian analysis capillary barrier permeability random variable unsaturated soils
DOI10.1139/cgj-2016-0339
URLView the original
Indexed BySCI
Language英语
WOS Research AreaEngineering ; Geology
WOS SubjectEngineering, Geological ; Geosciences, Multidisciplinary
WOS IDWOS:000402315200003
PublisherCANADIAN SCIENCE PUBLISHING, NRC RESEARCH PRESS
The Source to ArticleWOS
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被引频次[WOS]:4   [WOS记录]     [WOS相关记录]
Document TypeJournal article
专题University of Macau
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Yan, W. M.,Chiu, C. F.,Yuen, Ka-Veng. Prediction and modeling of permeability function and its application to the evaluation of breakthrough suction of a two-layer capillary barrier[J]. CANADIAN GEOTECHNICAL JOURNAL,2017,54(6):778-788.
APA Yan, W. M.,Chiu, C. F.,&Yuen, Ka-Veng.(2017).Prediction and modeling of permeability function and its application to the evaluation of breakthrough suction of a two-layer capillary barrier.CANADIAN GEOTECHNICAL JOURNAL,54(6),778-788.
MLA Yan, W. M.,et al."Prediction and modeling of permeability function and its application to the evaluation of breakthrough suction of a two-layer capillary barrier".CANADIAN GEOTECHNICAL JOURNAL 54.6(2017):778-788.
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