An efficient transient‐state algorithm for evaluation of leakage through defective cutoff walls
Artificial barriers are widely used to prevent leakages. However, due to construction errors during the wall installation, passages with small dimensions may occasionally penetrate through the barrier, undermining its tightness. A three‐dimensional discretized algorithm (TDA) is proposed for quantit...
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| Veröffentlicht in: | International journal for numerical and analytical methods in geomechanics 2021-01, Vol.45 (1), p.108-131 |
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| container_title | International journal for numerical and analytical methods in geomechanics |
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| creator | Pan, Yutao Hicks, Michael A. Broere, Wout |
| description | Artificial barriers are widely used to prevent leakages. However, due to construction errors during the wall installation, passages with small dimensions may occasionally penetrate through the barrier, undermining its tightness. A three‐dimensional discretized algorithm (TDA) is proposed for quantitatively estimating the transient‐state discharge rate through defective cutoff walls. By discretizing the wall into a three‐dimensional refined mesh grid, the algorithm enables an examination of penetrating passages, an evaluation of defect dimensions, and an estimation of discharge rate through the penetrating passages. A rigorous realization‐by‐realization comparison between the TDA and the finite element method (FEM) was made, and it was found that the TDA results show strong correlations with the FEM results, but at a remarkably lower (1/103‐1/104) computational cost. The TDA generally gives a discharge rate that is 0.1‐1.0 times greater than its FEM counterpart, as the lengthened seepage distance due to random corrugations in the penetrating untreated zone cannot be replicated by the TDA. |
| doi_str_mv | 10.1002/nag.3145 |
| format | Article |
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However, due to construction errors during the wall installation, passages with small dimensions may occasionally penetrate through the barrier, undermining its tightness. A three‐dimensional discretized algorithm (TDA) is proposed for quantitatively estimating the transient‐state discharge rate through defective cutoff walls. By discretizing the wall into a three‐dimensional refined mesh grid, the algorithm enables an examination of penetrating passages, an evaluation of defect dimensions, and an estimation of discharge rate through the penetrating passages. A rigorous realization‐by‐realization comparison between the TDA and the finite element method (FEM) was made, and it was found that the TDA results show strong correlations with the FEM results, but at a remarkably lower (1/103‐1/104) computational cost. The TDA generally gives a discharge rate that is 0.1‐1.0 times greater than its FEM counterpart, as the lengthened seepage distance due to random corrugations in the penetrating untreated zone cannot be replicated by the TDA.</description><identifier>ISSN: 0363-9061</identifier><identifier>EISSN: 1096-9853</identifier><identifier>DOI: 10.1002/nag.3145</identifier><language>eng</language><publisher>Bognor Regis: Wiley Subscription Services, Inc</publisher><subject>Algorithms ; Barriers ; Computer applications ; construction error ; cutoff wall ; Dimensions ; Discharge ; Evaluation ; Finite element method ; groundwater ; leakage ; Seepage ; statistics ; Tightness ; Walls</subject><ispartof>International journal for numerical and analytical methods in geomechanics, 2021-01, Vol.45 (1), p.108-131</ispartof><rights>2020 The Authors. published by John Wiley & Sons Ltd.</rights><rights>2020. This article is published under http://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). 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However, due to construction errors during the wall installation, passages with small dimensions may occasionally penetrate through the barrier, undermining its tightness. A three‐dimensional discretized algorithm (TDA) is proposed for quantitatively estimating the transient‐state discharge rate through defective cutoff walls. By discretizing the wall into a three‐dimensional refined mesh grid, the algorithm enables an examination of penetrating passages, an evaluation of defect dimensions, and an estimation of discharge rate through the penetrating passages. A rigorous realization‐by‐realization comparison between the TDA and the finite element method (FEM) was made, and it was found that the TDA results show strong correlations with the FEM results, but at a remarkably lower (1/103‐1/104) computational cost. The TDA generally gives a discharge rate that is 0.1‐1.0 times greater than its FEM counterpart, as the lengthened seepage distance due to random corrugations in the penetrating untreated zone cannot be replicated by the TDA.</description><subject>Algorithms</subject><subject>Barriers</subject><subject>Computer applications</subject><subject>construction error</subject><subject>cutoff wall</subject><subject>Dimensions</subject><subject>Discharge</subject><subject>Evaluation</subject><subject>Finite element method</subject><subject>groundwater</subject><subject>leakage</subject><subject>Seepage</subject><subject>statistics</subject><subject>Tightness</subject><subject>Walls</subject><issn>0363-9061</issn><issn>1096-9853</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>24P</sourceid><recordid>eNp10M9Kw0AQBvBFFKxV8BEWvHhJ3T_JZnssRatQ9KLnMNnOpqlptu5uWnrzEXxGn8TUevU0A_PjG_gIueZsxBkTdy1UI8nT7IQMOBurZKwzeUoGTCqZjJni5-QihBVjLOuvAwKTlqK1tamxjTR6aMNh-_78ChEiUmgq5-u4XFPrPMUtNB3E2rXUWdogvEOFNC6966olXaBFE-stUtNFZy3dQdOES3JmoQl49TeH5O3h_nX6mMxfZk_TyTwxUuRZossUQNhUCFNCCdJq1CJVWmu5wLRUuS65gJKhsSCYtpgtMkxNrsayFGC4HJKbY-7Gu48OQyxWrvNt_7LocxRLRa5Ur26PyngXgkdbbHy9Br8vOCsOBRZ9gcWhwJ4mR7qrG9z_64rnyezX_wDS23Q2</recordid><startdate>202101</startdate><enddate>202101</enddate><creator>Pan, Yutao</creator><creator>Hicks, Michael A.</creator><creator>Broere, Wout</creator><general>Wiley Subscription Services, Inc</general><scope>24P</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7UA</scope><scope>8FD</scope><scope>C1K</scope><scope>F1W</scope><scope>FR3</scope><scope>H96</scope><scope>JQ2</scope><scope>KR7</scope><scope>L.G</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0001-9504-1347</orcidid></search><sort><creationdate>202101</creationdate><title>An efficient transient‐state algorithm for evaluation of leakage through defective cutoff walls</title><author>Pan, Yutao ; Hicks, Michael A. ; Broere, Wout</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3275-8b4aa2f422cbaba3f8e82468883de4b678b12ab0ecfa208fe5d5e4c7693b2ac13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Algorithms</topic><topic>Barriers</topic><topic>Computer applications</topic><topic>construction error</topic><topic>cutoff wall</topic><topic>Dimensions</topic><topic>Discharge</topic><topic>Evaluation</topic><topic>Finite element method</topic><topic>groundwater</topic><topic>leakage</topic><topic>Seepage</topic><topic>statistics</topic><topic>Tightness</topic><topic>Walls</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pan, Yutao</creatorcontrib><creatorcontrib>Hicks, Michael A.</creatorcontrib><creatorcontrib>Broere, Wout</creatorcontrib><collection>Wiley Online Library Open Access</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Engineering Research Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal for numerical and analytical methods in geomechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pan, Yutao</au><au>Hicks, Michael A.</au><au>Broere, Wout</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An efficient transient‐state algorithm for evaluation of leakage through defective cutoff walls</atitle><jtitle>International journal for numerical and analytical methods in geomechanics</jtitle><date>2021-01</date><risdate>2021</risdate><volume>45</volume><issue>1</issue><spage>108</spage><epage>131</epage><pages>108-131</pages><issn>0363-9061</issn><eissn>1096-9853</eissn><abstract>Artificial barriers are widely used to prevent leakages. However, due to construction errors during the wall installation, passages with small dimensions may occasionally penetrate through the barrier, undermining its tightness. A three‐dimensional discretized algorithm (TDA) is proposed for quantitatively estimating the transient‐state discharge rate through defective cutoff walls. By discretizing the wall into a three‐dimensional refined mesh grid, the algorithm enables an examination of penetrating passages, an evaluation of defect dimensions, and an estimation of discharge rate through the penetrating passages. A rigorous realization‐by‐realization comparison between the TDA and the finite element method (FEM) was made, and it was found that the TDA results show strong correlations with the FEM results, but at a remarkably lower (1/103‐1/104) computational cost. 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| issn | 0363-9061 1096-9853 |
| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Algorithms Barriers Computer applications construction error cutoff wall Dimensions Discharge Evaluation Finite element method groundwater leakage Seepage statistics Tightness Walls |
| title | An efficient transient‐state algorithm for evaluation of leakage through defective cutoff walls |
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