Consolidation of unsaturated composite ground reinforced by permeable columns
In this paper, the governing equations and semi-analytical solutions are proposed to investigate the consolidation behavior of unsaturated composite ground with the permeable columns. Based on the stress and strain equilibrium conditions of composite ground and the strain–stress relations of unsatur...
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Veröffentlicht in: | Computers and geotechnics 2020-09, Vol.125, p.103706, Article 103706 |
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description | In this paper, the governing equations and semi-analytical solutions are proposed to investigate the consolidation behavior of unsaturated composite ground with the permeable columns. Based on the stress and strain equilibrium conditions of composite ground and the strain–stress relations of unsaturated soils under the axisymmetric condition, a set of the basic equations are proposed for describing the strain–stress relations of soil element, air and water phases of unsaturated soils in the composite ground. Then, two consolidation equations for air and water phases are derived considering the continuity of pore volume change, and flow laws for air and water phases under the axisymmetric condition. Correspondingly, the semi-analytical solutions of the consolidation equations are proposed by using the Laplace and finite Hankel transforms. The proposed governing equations as well as the semi-analytical solutions are verified by checking against the existing ones for a special case in the literature. Finally, a parametric study is performed to investigate the consolidation behavior with different parameters for the permeable columns and surrounding unsaturated soils. |
doi_str_mv | 10.1016/j.compgeo.2020.103706 |
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Based on the stress and strain equilibrium conditions of composite ground and the strain–stress relations of unsaturated soils under the axisymmetric condition, a set of the basic equations are proposed for describing the strain–stress relations of soil element, air and water phases of unsaturated soils in the composite ground. Then, two consolidation equations for air and water phases are derived considering the continuity of pore volume change, and flow laws for air and water phases under the axisymmetric condition. Correspondingly, the semi-analytical solutions of the consolidation equations are proposed by using the Laplace and finite Hankel transforms. The proposed governing equations as well as the semi-analytical solutions are verified by checking against the existing ones for a special case in the literature. Finally, a parametric study is performed to investigate the consolidation behavior with different parameters for the permeable columns and surrounding unsaturated soils.</description><identifier>ISSN: 0266-352X</identifier><identifier>EISSN: 1873-7633</identifier><identifier>DOI: 10.1016/j.compgeo.2020.103706</identifier><language>eng</language><publisher>New York: Elsevier Ltd</publisher><subject>Air ; Columns (structural) ; Composite ground ; Consolidation ; Equilibrium conditions ; Exact solutions ; Mathematical analysis ; Permeable column ; Phases ; Semi-analytical solution ; Soil ; Soil conditions ; Soil permeability ; Soil stresses ; Soil water ; Strain ; Unsaturated soil ; Unsaturated soils</subject><ispartof>Computers and geotechnics, 2020-09, Vol.125, p.103706, Article 103706</ispartof><rights>2020 Elsevier Ltd</rights><rights>Copyright Elsevier BV Sep 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c337t-fe73ba1ccd7f92667f7683ec918d85b1eb17a24e942d2851af8e7a10cbfc9cfc3</citedby><cites>FETCH-LOGICAL-c337t-fe73ba1ccd7f92667f7683ec918d85b1eb17a24e942d2851af8e7a10cbfc9cfc3</cites><orcidid>0000-0001-5209-5169</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.compgeo.2020.103706$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Wang, Lei</creatorcontrib><creatorcontrib>Zhou, Annan</creatorcontrib><creatorcontrib>Xu, Yongfu</creatorcontrib><creatorcontrib>Xia, Xiaohe</creatorcontrib><title>Consolidation of unsaturated composite ground reinforced by permeable columns</title><title>Computers and geotechnics</title><description>In this paper, the governing equations and semi-analytical solutions are proposed to investigate the consolidation behavior of unsaturated composite ground with the permeable columns. Based on the stress and strain equilibrium conditions of composite ground and the strain–stress relations of unsaturated soils under the axisymmetric condition, a set of the basic equations are proposed for describing the strain–stress relations of soil element, air and water phases of unsaturated soils in the composite ground. Then, two consolidation equations for air and water phases are derived considering the continuity of pore volume change, and flow laws for air and water phases under the axisymmetric condition. Correspondingly, the semi-analytical solutions of the consolidation equations are proposed by using the Laplace and finite Hankel transforms. The proposed governing equations as well as the semi-analytical solutions are verified by checking against the existing ones for a special case in the literature. Finally, a parametric study is performed to investigate the consolidation behavior with different parameters for the permeable columns and surrounding unsaturated soils.</description><subject>Air</subject><subject>Columns (structural)</subject><subject>Composite ground</subject><subject>Consolidation</subject><subject>Equilibrium conditions</subject><subject>Exact solutions</subject><subject>Mathematical analysis</subject><subject>Permeable column</subject><subject>Phases</subject><subject>Semi-analytical solution</subject><subject>Soil</subject><subject>Soil conditions</subject><subject>Soil permeability</subject><subject>Soil stresses</subject><subject>Soil water</subject><subject>Strain</subject><subject>Unsaturated soil</subject><subject>Unsaturated soils</subject><issn>0266-352X</issn><issn>1873-7633</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LxDAQhoMoWFd_glDw3DUfbdOeRBa_YMWLgreQppMlpU1q0gr7703p3j0NzLzvOzMPQrcEbwkm5X23VW4YD-C2FNOlxzguz1BCKs4yXjJ2jhJMyzJjBf2-RFchdDj66qpO0PvO2eB608rJOJs6nc42yGn2coI2XXJdMBOkB-9m26YejNXOqzhrjukIfgDZ9BCF_TzYcI0utOwD3JzqBn09P33uXrP9x8vb7nGfKcb4lGngrJFEqZbrOh7GNS8rBqomVVsVDYGGcElzqHPa0qogUlfAJcGq0apWWrENultzR-9-ZgiT6NzsbVwpaJ6XnOZ1UURVsaqUdyF40GL0ZpD-KAgWCznRiRM5sZATK7noe1h9EF_4NeBFUAZsfNp4UJNonfkn4Q9UrHu4</recordid><startdate>202009</startdate><enddate>202009</enddate><creator>Wang, Lei</creator><creator>Zhou, Annan</creator><creator>Xu, Yongfu</creator><creator>Xia, Xiaohe</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><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/0000-0001-5209-5169</orcidid></search><sort><creationdate>202009</creationdate><title>Consolidation of unsaturated composite ground reinforced by permeable columns</title><author>Wang, Lei ; Zhou, Annan ; Xu, Yongfu ; Xia, Xiaohe</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c337t-fe73ba1ccd7f92667f7683ec918d85b1eb17a24e942d2851af8e7a10cbfc9cfc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Air</topic><topic>Columns (structural)</topic><topic>Composite ground</topic><topic>Consolidation</topic><topic>Equilibrium conditions</topic><topic>Exact solutions</topic><topic>Mathematical analysis</topic><topic>Permeable column</topic><topic>Phases</topic><topic>Semi-analytical solution</topic><topic>Soil</topic><topic>Soil conditions</topic><topic>Soil permeability</topic><topic>Soil stresses</topic><topic>Soil water</topic><topic>Strain</topic><topic>Unsaturated soil</topic><topic>Unsaturated soils</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Lei</creatorcontrib><creatorcontrib>Zhou, Annan</creatorcontrib><creatorcontrib>Xu, Yongfu</creatorcontrib><creatorcontrib>Xia, Xiaohe</creatorcontrib><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>Computers and geotechnics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Lei</au><au>Zhou, Annan</au><au>Xu, Yongfu</au><au>Xia, Xiaohe</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Consolidation of unsaturated composite ground reinforced by permeable columns</atitle><jtitle>Computers and geotechnics</jtitle><date>2020-09</date><risdate>2020</risdate><volume>125</volume><spage>103706</spage><pages>103706-</pages><artnum>103706</artnum><issn>0266-352X</issn><eissn>1873-7633</eissn><abstract>In this paper, the governing equations and semi-analytical solutions are proposed to investigate the consolidation behavior of unsaturated composite ground with the permeable columns. Based on the stress and strain equilibrium conditions of composite ground and the strain–stress relations of unsaturated soils under the axisymmetric condition, a set of the basic equations are proposed for describing the strain–stress relations of soil element, air and water phases of unsaturated soils in the composite ground. Then, two consolidation equations for air and water phases are derived considering the continuity of pore volume change, and flow laws for air and water phases under the axisymmetric condition. Correspondingly, the semi-analytical solutions of the consolidation equations are proposed by using the Laplace and finite Hankel transforms. The proposed governing equations as well as the semi-analytical solutions are verified by checking against the existing ones for a special case in the literature. Finally, a parametric study is performed to investigate the consolidation behavior with different parameters for the permeable columns and surrounding unsaturated soils.</abstract><cop>New York</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.compgeo.2020.103706</doi><orcidid>https://orcid.org/0000-0001-5209-5169</orcidid></addata></record> |
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subjects | Air Columns (structural) Composite ground Consolidation Equilibrium conditions Exact solutions Mathematical analysis Permeable column Phases Semi-analytical solution Soil Soil conditions Soil permeability Soil stresses Soil water Strain Unsaturated soil Unsaturated soils |
title | Consolidation of unsaturated composite ground reinforced by permeable columns |
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