A finite element approach to the simulation of hydraulic fractures with lag
Summary We presented a finite‐element‐based algorithm to simulate plane‐strain, straight hydraulic fractures in an impermeable elastic medium. The algorithm accounts for the nonlinear coupling between the fluid pressure and the crack opening and separately tracks the evolution of the crack tip and t...
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| Veröffentlicht in: | International journal for numerical and analytical methods in geomechanics 2013-06, Vol.37 (9), p.993-1015 |
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| container_title | International journal for numerical and analytical methods in geomechanics |
| container_volume | 37 |
| creator | Hunsweck, Michael J. Shen, Yongxing Lew, Adrian J. |
| description | Summary
We presented a finite‐element‐based algorithm to simulate plane‐strain, straight hydraulic fractures in an impermeable elastic medium. The algorithm accounts for the nonlinear coupling between the fluid pressure and the crack opening and separately tracks the evolution of the crack tip and the fluid front. It therefore allows the existence of a fluid lag. The fluid front is advanced explicitly in time, but an implicit strategy is needed for the crack tip to guarantee the satisfaction of Griffith's criterion at each time step. We enforced the coupling between the fluid and the rock by simultaneously solving for the pressure field in the fluid and the crack opening at each time step. We provided verification of our algorithm by performing sample simulations and comparing them with two known similarity solutions. Copyright © 2012 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/nag.1131 |
| format | Article |
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We presented a finite‐element‐based algorithm to simulate plane‐strain, straight hydraulic fractures in an impermeable elastic medium. The algorithm accounts for the nonlinear coupling between the fluid pressure and the crack opening and separately tracks the evolution of the crack tip and the fluid front. It therefore allows the existence of a fluid lag. The fluid front is advanced explicitly in time, but an implicit strategy is needed for the crack tip to guarantee the satisfaction of Griffith's criterion at each time step. We enforced the coupling between the fluid and the rock by simultaneously solving for the pressure field in the fluid and the crack opening at each time step. We provided verification of our algorithm by performing sample simulations and comparing them with two known similarity solutions. Copyright © 2012 John Wiley & Sons, Ltd.</description><identifier>ISSN: 0363-9061</identifier><identifier>EISSN: 1096-9853</identifier><identifier>DOI: 10.1002/nag.1131</identifier><identifier>CODEN: IJNGDZ</identifier><language>eng</language><publisher>Chichester: Blackwell Publishing Ltd</publisher><subject>74S Mètodes numèrics ; Algorithms ; Anàlisi numèrica ; Applied sciences ; Buildings. Public works ; Computation methods. Tables. Charts ; Computational fluid dynamics ; Computer simulation ; Elasticitat ; Elasticity ; Exact sciences and technology ; finite element ; Fluid flow ; fluid lag ; Fluids ; Fracture mechanics ; hydraulic fracture ; Hydraulic fracturing ; Hydraulics ; Matemàtiques i estadística ; Mathematical analysis ; Mètodes numèrics ; Resistència de materials ; Strength of materials ; Structural analysis. Stresses ; Àrees temàtiques de la UPC</subject><ispartof>International journal for numerical and analytical methods in geomechanics, 2013-06, Vol.37 (9), p.993-1015</ispartof><rights>Copyright © 2012 John Wiley & Sons, Ltd.</rights><rights>2014 INIST-CNRS</rights><rights>Copyright © 2013 John Wiley & Sons, Ltd.</rights><rights>info:eu-repo/semantics/openAccess</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a5591-cf4e65e56c08fa701f98a0888963800aa59e3b7ef34aef2a6c7e7b079ef9763</citedby><cites>FETCH-LOGICAL-a5591-cf4e65e56c08fa701f98a0888963800aa59e3b7ef34aef2a6c7e7b079ef9763</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.1131$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnag.1131$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>230,314,780,784,885,1417,26974,27924,27925,45574,45575</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=27419908$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Hunsweck, Michael J.</creatorcontrib><creatorcontrib>Shen, Yongxing</creatorcontrib><creatorcontrib>Lew, Adrian J.</creatorcontrib><title>A finite element approach to the simulation of hydraulic fractures with lag</title><title>International journal for numerical and analytical methods in geomechanics</title><addtitle>Int. J. Numer. Anal. Meth. Geomech</addtitle><description>Summary
We presented a finite‐element‐based algorithm to simulate plane‐strain, straight hydraulic fractures in an impermeable elastic medium. The algorithm accounts for the nonlinear coupling between the fluid pressure and the crack opening and separately tracks the evolution of the crack tip and the fluid front. It therefore allows the existence of a fluid lag. The fluid front is advanced explicitly in time, but an implicit strategy is needed for the crack tip to guarantee the satisfaction of Griffith's criterion at each time step. We enforced the coupling between the fluid and the rock by simultaneously solving for the pressure field in the fluid and the crack opening at each time step. We provided verification of our algorithm by performing sample simulations and comparing them with two known similarity solutions. Copyright © 2012 John Wiley & Sons, Ltd.</description><subject>74S Mètodes numèrics</subject><subject>Algorithms</subject><subject>Anàlisi numèrica</subject><subject>Applied sciences</subject><subject>Buildings. Public works</subject><subject>Computation methods. Tables. Charts</subject><subject>Computational fluid dynamics</subject><subject>Computer simulation</subject><subject>Elasticitat</subject><subject>Elasticity</subject><subject>Exact sciences and technology</subject><subject>finite element</subject><subject>Fluid flow</subject><subject>fluid lag</subject><subject>Fluids</subject><subject>Fracture mechanics</subject><subject>hydraulic fracture</subject><subject>Hydraulic fracturing</subject><subject>Hydraulics</subject><subject>Matemàtiques i estadística</subject><subject>Mathematical analysis</subject><subject>Mètodes numèrics</subject><subject>Resistència de materials</subject><subject>Strength of materials</subject><subject>Structural analysis. Stresses</subject><subject>Àrees temàtiques de la UPC</subject><issn>0363-9061</issn><issn>1096-9853</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>XX2</sourceid><recordid>eNqFkW9rFDEQhxdR8GwFP0JABN9snWyy-fPyOOxVPFpEsdA3YRonvdS93TPJUu_bu8cdLQjiizCEPPOEmV9VveFwxgGaDz3enXEu-LNqxsGq2ppWPK9mIJSoLSj-snqV8z0AtNPrrPo8ZyH2sRCjjjbUF4bbbRrQr1kZWFkTy3Ezdlji0LMhsPXuR8Kxi56FhL6MiTJ7iGXNOrw7rV4E7DK9PtaT6uv5x2-Li3p1tfy0mK9qbFvLax8kqZZa5cEE1MCDNQjGGKuEAUBsLYlbTUFIpNCg8pr0LWhLwWolTip-sPo8epfIU_JY3IDx6bI_DejGNdJaLaee94eeabRfI-XiNjF76jrsaRiz41pKzTU39v-oFFYLBc3e-vYv9H4YUz-N7rhQ7fSxMvpJ6NOQc6LgtiluMO0cB7ePzE2RuX1kE_ruKMTssZs23PuYH_lGS24tmImrD9xD7Gj3T5-7nC-P3iMfc6Hfjzymn05poVt3fbl0-sv3hVzJG3ch_gAEwbFv</recordid><startdate>20130625</startdate><enddate>20130625</enddate><creator>Hunsweck, Michael J.</creator><creator>Shen, Yongxing</creator><creator>Lew, Adrian J.</creator><general>Blackwell Publishing Ltd</general><general>Wiley</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>IQODW</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><scope>XX2</scope></search><sort><creationdate>20130625</creationdate><title>A finite element approach to the simulation of hydraulic fractures with lag</title><author>Hunsweck, Michael J. ; Shen, Yongxing ; Lew, Adrian J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a5591-cf4e65e56c08fa701f98a0888963800aa59e3b7ef34aef2a6c7e7b079ef9763</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>74S Mètodes numèrics</topic><topic>Algorithms</topic><topic>Anàlisi numèrica</topic><topic>Applied sciences</topic><topic>Buildings. Public works</topic><topic>Computation methods. Tables. Charts</topic><topic>Computational fluid dynamics</topic><topic>Computer simulation</topic><topic>Elasticitat</topic><topic>Elasticity</topic><topic>Exact sciences and technology</topic><topic>finite element</topic><topic>Fluid flow</topic><topic>fluid lag</topic><topic>Fluids</topic><topic>Fracture mechanics</topic><topic>hydraulic fracture</topic><topic>Hydraulic fracturing</topic><topic>Hydraulics</topic><topic>Matemàtiques i estadística</topic><topic>Mathematical analysis</topic><topic>Mètodes numèrics</topic><topic>Resistència de materials</topic><topic>Strength of materials</topic><topic>Structural analysis. Stresses</topic><topic>Àrees temàtiques de la UPC</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hunsweck, Michael J.</creatorcontrib><creatorcontrib>Shen, Yongxing</creatorcontrib><creatorcontrib>Lew, Adrian J.</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</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><collection>Recercat</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>Hunsweck, Michael J.</au><au>Shen, Yongxing</au><au>Lew, Adrian J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A finite element approach to the simulation of hydraulic fractures with lag</atitle><jtitle>International journal for numerical and analytical methods in geomechanics</jtitle><addtitle>Int. J. Numer. Anal. Meth. Geomech</addtitle><date>2013-06-25</date><risdate>2013</risdate><volume>37</volume><issue>9</issue><spage>993</spage><epage>1015</epage><pages>993-1015</pages><issn>0363-9061</issn><eissn>1096-9853</eissn><coden>IJNGDZ</coden><abstract>Summary
We presented a finite‐element‐based algorithm to simulate plane‐strain, straight hydraulic fractures in an impermeable elastic medium. The algorithm accounts for the nonlinear coupling between the fluid pressure and the crack opening and separately tracks the evolution of the crack tip and the fluid front. It therefore allows the existence of a fluid lag. The fluid front is advanced explicitly in time, but an implicit strategy is needed for the crack tip to guarantee the satisfaction of Griffith's criterion at each time step. We enforced the coupling between the fluid and the rock by simultaneously solving for the pressure field in the fluid and the crack opening at each time step. We provided verification of our algorithm by performing sample simulations and comparing them with two known similarity solutions. Copyright © 2012 John Wiley & Sons, Ltd.</abstract><cop>Chichester</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1002/nag.1131</doi><tpages>23</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | 74S Mètodes numèrics Algorithms Anàlisi numèrica Applied sciences Buildings. Public works Computation methods. Tables. Charts Computational fluid dynamics Computer simulation Elasticitat Elasticity Exact sciences and technology finite element Fluid flow fluid lag Fluids Fracture mechanics hydraulic fracture Hydraulic fracturing Hydraulics Matemàtiques i estadística Mathematical analysis Mètodes numèrics Resistència de materials Strength of materials Structural analysis. Stresses Àrees temàtiques de la UPC |
| title | A finite element approach to the simulation of hydraulic fractures with lag |
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