A general viscous-spring transmitting boundary for dynamic analysis of saturated poroelastic media
Summary A time‐domain viscous‐spring transmitting boundary is presented for transient dynamic analysis of saturated poroelastic media with linear elastic and isotropic properties. The u–U formulation of Biot equation in cylindrical coordinate is adopted in the derivation. By this general viscous‐spr...
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| Veröffentlicht in: | International journal for numerical and analytical methods in geomechanics 2016-02, Vol.40 (3), p.344-366 |
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| container_title | International journal for numerical and analytical methods in geomechanics |
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| creator | Li, Peng Song, Er-xiang |
| description | Summary
A time‐domain viscous‐spring transmitting boundary is presented for transient dynamic analysis of saturated poroelastic media with linear elastic and isotropic properties. The u–U formulation of Biot equation in cylindrical coordinate is adopted in the derivation. By this general viscous‐spring boundary, the effective stress and pore fluid pressure on the truncated boundary of the computational area are replaced by a set of continuously distributed spring and dashpot elements, of which the parameters are defined assuming an infinite permeability and considering the two dilatational waves. Numerical examples demonstrate good absorption of both the two cylindrical dilatational waves by the proposed ‘drained’ boundary. For general two‐dimensional wave propagation problems, acceptable accuracy can still be achieved by setting the proposed boundary relatively far away from the scatter. Numerical comparison shows that the results obtained by using this boundary are more accurate for all permeability values than those by the traditional viscous‐spring or viscous boundaries established for u–U formulation. Copyright © 2015 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/nag.2403 |
| format | Article |
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A time‐domain viscous‐spring transmitting boundary is presented for transient dynamic analysis of saturated poroelastic media with linear elastic and isotropic properties. The u–U formulation of Biot equation in cylindrical coordinate is adopted in the derivation. By this general viscous‐spring boundary, the effective stress and pore fluid pressure on the truncated boundary of the computational area are replaced by a set of continuously distributed spring and dashpot elements, of which the parameters are defined assuming an infinite permeability and considering the two dilatational waves. Numerical examples demonstrate good absorption of both the two cylindrical dilatational waves by the proposed ‘drained’ boundary. For general two‐dimensional wave propagation problems, acceptable accuracy can still be achieved by setting the proposed boundary relatively far away from the scatter. Numerical comparison shows that the results obtained by using this boundary are more accurate for all permeability values than those by the traditional viscous‐spring or viscous boundaries established for u–U formulation. Copyright © 2015 John Wiley & Sons, Ltd.</description><identifier>ISSN: 0363-9061</identifier><identifier>EISSN: 1096-9853</identifier><identifier>DOI: 10.1002/nag.2403</identifier><identifier>CODEN: IJNGDZ</identifier><language>eng</language><publisher>Bognor Regis: Blackwell Publishing Ltd</publisher><subject>Boundaries ; Dilatational waves ; Dynamic tests ; finite element method ; infinite domain ; Mathematical analysis ; Mathematical models ; Media ; Permeability ; saturated porous media ; Transmission ; transmitting boundary ; wave propagation</subject><ispartof>International journal for numerical and analytical methods in geomechanics, 2016-02, Vol.40 (3), p.344-366</ispartof><rights>Copyright © 2015 John Wiley & Sons, Ltd.</rights><rights>Copyright © 2016 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a4903-e1f44b53647f79b4f3ef15e05a8c4e3fb9b4a363365a6788802220a7755e8afc3</citedby><cites>FETCH-LOGICAL-a4903-e1f44b53647f79b4f3ef15e05a8c4e3fb9b4a363365a6788802220a7755e8afc3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fnag.2403$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnag.2403$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Li, Peng</creatorcontrib><creatorcontrib>Song, Er-xiang</creatorcontrib><title>A general viscous-spring transmitting boundary for dynamic analysis of saturated poroelastic media</title><title>International journal for numerical and analytical methods in geomechanics</title><addtitle>Int. J. Numer. Anal. Meth. Geomech</addtitle><description>Summary
A time‐domain viscous‐spring transmitting boundary is presented for transient dynamic analysis of saturated poroelastic media with linear elastic and isotropic properties. The u–U formulation of Biot equation in cylindrical coordinate is adopted in the derivation. By this general viscous‐spring boundary, the effective stress and pore fluid pressure on the truncated boundary of the computational area are replaced by a set of continuously distributed spring and dashpot elements, of which the parameters are defined assuming an infinite permeability and considering the two dilatational waves. Numerical examples demonstrate good absorption of both the two cylindrical dilatational waves by the proposed ‘drained’ boundary. For general two‐dimensional wave propagation problems, acceptable accuracy can still be achieved by setting the proposed boundary relatively far away from the scatter. Numerical comparison shows that the results obtained by using this boundary are more accurate for all permeability values than those by the traditional viscous‐spring or viscous boundaries established for u–U formulation. Copyright © 2015 John Wiley & Sons, Ltd.</description><subject>Boundaries</subject><subject>Dilatational waves</subject><subject>Dynamic tests</subject><subject>finite element method</subject><subject>infinite domain</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Media</subject><subject>Permeability</subject><subject>saturated porous media</subject><subject>Transmission</subject><subject>transmitting boundary</subject><subject>wave propagation</subject><issn>0363-9061</issn><issn>1096-9853</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNqF0U1r3DAQBmBRGsg2KfQnCHrpxenI-rKPS2g3hTTtISGQixh7R4tT29pIdpL999GS0JJC6UlIehh432Hsg4ATAVB-HnFzUiqQb9hCQG2KutLyLVuANLKowYhD9i6lWwDQ-XfBmiXf0EgRe37fpTbMqUjb2I0bPkUc09BN0_7ShHlcY9xxHyJf70YcupbjiP0udYkHzxNOc8SJ1nwbYqAe05TFQOsOj9mBxz7R-5fziF19_XJ5elac_1h9O12eF6hqkAUJr1SjpVHW27pRXpIXmkBj1SqSvslvmFNIo9HYqqqgLEtAa7WmCn0rj9in57nbGO5mSpMbciLqexwp53KiAlCVKgH-T601Rte2lJl-_Ivehjnm5HtlRK1y6fWfgW0MKUXyLpc45MKcALffi8t7cfu9ZFo804eup90_nbtYrl77Lk30-Ntj_OWMlVa764uVM9dnl-b7zU8H8gnF1Z1M</recordid><startdate>20160225</startdate><enddate>20160225</enddate><creator>Li, Peng</creator><creator>Song, Er-xiang</creator><general>Blackwell Publishing Ltd</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</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></search><sort><creationdate>20160225</creationdate><title>A general viscous-spring transmitting boundary for dynamic analysis of saturated poroelastic media</title><author>Li, Peng ; Song, Er-xiang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a4903-e1f44b53647f79b4f3ef15e05a8c4e3fb9b4a363365a6788802220a7755e8afc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Boundaries</topic><topic>Dilatational waves</topic><topic>Dynamic tests</topic><topic>finite element method</topic><topic>infinite domain</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Media</topic><topic>Permeability</topic><topic>saturated porous media</topic><topic>Transmission</topic><topic>transmitting boundary</topic><topic>wave propagation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Peng</creatorcontrib><creatorcontrib>Song, Er-xiang</creatorcontrib><collection>Istex</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>Li, Peng</au><au>Song, Er-xiang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A general viscous-spring transmitting boundary for dynamic analysis of saturated poroelastic media</atitle><jtitle>International journal for numerical and analytical methods in geomechanics</jtitle><addtitle>Int. J. Numer. Anal. Meth. Geomech</addtitle><date>2016-02-25</date><risdate>2016</risdate><volume>40</volume><issue>3</issue><spage>344</spage><epage>366</epage><pages>344-366</pages><issn>0363-9061</issn><eissn>1096-9853</eissn><coden>IJNGDZ</coden><abstract>Summary
A time‐domain viscous‐spring transmitting boundary is presented for transient dynamic analysis of saturated poroelastic media with linear elastic and isotropic properties. The u–U formulation of Biot equation in cylindrical coordinate is adopted in the derivation. By this general viscous‐spring boundary, the effective stress and pore fluid pressure on the truncated boundary of the computational area are replaced by a set of continuously distributed spring and dashpot elements, of which the parameters are defined assuming an infinite permeability and considering the two dilatational waves. Numerical examples demonstrate good absorption of both the two cylindrical dilatational waves by the proposed ‘drained’ boundary. For general two‐dimensional wave propagation problems, acceptable accuracy can still be achieved by setting the proposed boundary relatively far away from the scatter. Numerical comparison shows that the results obtained by using this boundary are more accurate for all permeability values than those by the traditional viscous‐spring or viscous boundaries established for u–U formulation. Copyright © 2015 John Wiley & Sons, Ltd.</abstract><cop>Bognor Regis</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1002/nag.2403</doi><tpages>23</tpages></addata></record> |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Boundaries Dilatational waves Dynamic tests finite element method infinite domain Mathematical analysis Mathematical models Media Permeability saturated porous media Transmission transmitting boundary wave propagation |
| title | A general viscous-spring transmitting boundary for dynamic analysis of saturated poroelastic media |
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