Probabilistic Design Framework for Granular Filters
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 147, Issue 11
Abstract
A granular filter is required to satisfy two requirements of retention and hydraulic conductivity. The current design approaches are based on the representative grain sizes for retention and hydraulic conductivity requirements. The importance of consideration of the grain-size distribution (GSD) in satisfying the filter requirements is highlighted in this paper. An assessment criterion is presented for retention and hydraulic conductivity requirements based on GSD. A probabilistic assessment criterion is developed for retention requirements considering the grain size and constriction size as random variables. For hydraulic conductivity requirements, a probabilistic assessment criterion is defined by considering hydraulic conductivity’s variability and a semianalytical model for saturated hydraulic conductivity. The limit states for developed criteria are established based on published experimental data. The proposed approach is demonstrated with examples, and it is illustrated that the filter bandwidth is governed by the convexity of the soil GSD.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The work described in this paper is financially supported by Prime Minister’s Fellowship Scheme for Doctoral Research, a public–private partnership between the Science and Engineering Research Board, Department of Science and Technology, Government of India, and the Confederation of Indian Industry with industry partner Maccaferri Environmental Solutions Pvt. Ltd. The authors wish to thank the editor, associate editor, and reviewers for their careful reading of the manuscript and many insightful comments and suggestions.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 147 • Issue 11 • November 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Apr 6, 2020
Accepted: Jul 15, 2021
Published online: Sep 13, 2021
Published in print: Nov 1, 2021
Discussion open until: Feb 13, 2022
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