{"id":"https://openalex.org/W2128200484","doi":"https://doi.org/10.48550/arxiv.1302.5848","title":"A framework for coupling flow and deformation of the porous solid","display_name":"A framework for coupling flow and deformation of the porous solid","publication_year":2013,"publication_date":"2013-02-23","ids":{"openalex":"https://openalex.org/W2128200484","doi":"https://doi.org/10.48550/arxiv.1302.5848","mag":"2128200484"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1302.5848","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1302.5848","pdf_url":"https://arxiv.org/pdf/1302.5848","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1302.5848","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048042553","display_name":"Daniel Z. Turner","orcid":"https://orcid.org/0000-0002-1198-9841","observed_orcids":["https://orcid.org/0000-0002-1198-9841"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Turner, D. Z.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012262523","display_name":"Kalyana Babu Nakshatrala","orcid":"https://orcid.org/0000-0002-1744-6338","observed_orcids":["https://orcid.org/0000-0002-1744-6338"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nakshatrala, K. B.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101970086","display_name":"Mario J. Martinez","orcid":"https://orcid.org/0000-0002-4000-6680","observed_orcids":["https://orcid.org/0000-0002-4000-6680"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martinez, M. J.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.4805000126361847,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.4805000126361847,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.16130000352859497,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13862","display_name":"Soil, Finite Element Methods","score":0.09120000153779984,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/flow-deformation-coupling","display_name":"flow-deformation coupling","score":0.7820000052452087},{"id":"https://openalex.org/keywords/deformable-porous-media","display_name":"deformable porous media","score":0.8610000014305115},{"id":"https://openalex.org/keywords/darcy-s-law","display_name":"Darcy's law","score":0.7850000262260437},{"id":"https://openalex.org/keywords/porosity-evolution","display_name":"porosity evolution","score":0.621999979019165},{"id":"https://openalex.org/keywords/biot-consolidation","display_name":"Biot consolidation","score":0.6140000224113464},{"id":"https://openalex.org/keywords/terzaghi-consolidation","display_name":"Terzaghi consolidation","score":0.8920000195503235},{"id":"https://openalex.org/keywords/mixture-theory","display_name":"mixture theory","score":0.7450000047683716},{"id":"https://openalex.org/keywords/continuum-thermodynamics","display_name":"continuum thermodynamics","score":0.9570000171661377},{"id":"https://openalex.org/keywords/land-subsidence","display_name":"land subsidence","score":0.7929999828338623},{"id":"https://openalex.org/keywords/multiphase-flow","display_name":"multiphase flow","score":0.7870000004768372},{"id":"https://openalex.org/keywords/fluid-solid-interaction","display_name":"fluid-solid coupling","score":0.47600001096725464}],"concepts":[{"id":"https://openalex.org/C147903338","wikidata":"https://www.wikidata.org/wiki/Q7705385","display_name":"Terzaghi's principle","level":3,"score":0.8022003173828125},{"id":"https://openalex.org/C115341296","wikidata":"https://www.wikidata.org/wiki/Q864844","display_name":"Biot number","level":2,"score":0.6849709153175354},{"id":"https://openalex.org/C2776014549","wikidata":"https://www.wikidata.org/wiki/Q3050847","display_name":"Consolidation (business)","level":2,"score":0.4985806941986084},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.49466654658317566},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.4910714626312256},{"id":"https://openalex.org/C2779736610","wikidata":"https://www.wikidata.org/wiki/Q6884140","display_name":"Mixture theory","level":3,"score":0.4876478910446167},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.45910927653312683},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.45687615871429443},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.4437094032764435},{"id":"https://openalex.org/C181965411","wikidata":"https://www.wikidata.org/wiki/Q2314330","display_name":"Poromechanics","level":4,"score":0.42537933588027954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3432634770870209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32504647970199585},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.323433518409729},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2754545211791992},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.2214200496673584},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.21512022614479065},{"id":"https://openalex.org/C102579867","wikidata":"https://www.wikidata.org/wiki/Q2914346","display_name":"Pore water pressure","level":2,"score":0.1325264871120453},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12960976362228394},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C61224824","wikidata":"https://www.wikidata.org/wiki/Q2260434","display_name":"Mixture model","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:1302.5848","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1302.5848","pdf_url":"https://arxiv.org/pdf/1302.5848","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1302.5848","doi":"https://doi.org/10.48550/arxiv.1302.5848","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1302.5848","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1302.5848","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1302.5848","pdf_url":"https://arxiv.org/pdf/1302.5848","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1840521930","display_name":"FRONTIERS OF SUBSURFACE ENERGY SECURITY -- EFRC","funder_award_id":"DESC0001114","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G194215011","display_name":null,"funder_award_id":"DE\u2013AC04\u201394AL85000","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2075401295","display_name":null,"funder_award_id":"DE-AC04- 94AL85000","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G237582453","display_name":null,"funder_award_id":"DE-AC04-94-AL85000","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G3469581542","display_name":null,"funder_award_id":"94AL85000","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G351415096","display_name":null,"funder_award_id":"DEAC04-94AL85000","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G4079503858","display_name":"Strongly Coupled Fluid-Structure Interaction with Application to Blood Flow in Deformable Arteries","funder_award_id":"1068181","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6207548617","display_name":"FRONTIERS OF SUBSURFACE ENERGY SECURITY -- EFRC","funder_award_id":"DESC0001114","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G6485281451","display_name":null,"funder_award_id":"DE-AC04-94AL85000","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7318852158","display_name":null,"funder_award_id":"AC04-94AL85000","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G8456466421","display_name":null,"funder_award_id":"AC04-94AL85000","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8484748944","display_name":null,"funder_award_id":"CMMI 1068181","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G875654730","display_name":null,"funder_award_id":"DE-AC04-94AL85000","funder_id":"https://openalex.org/F4320337480","funder_display_name":"Basic Energy Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"},{"id":"https://openalex.org/F4320337480","display_name":"Basic Energy Sciences","ror":"https://ror.org/05mg91w61"},{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2128200484.pdf","grobid_xml":"https://content.openalex.org/works/W2128200484.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W46647164","https://openalex.org/W235370986","https://openalex.org/W624910771","https://openalex.org/W637647918","https://openalex.org/W1499759633","https://openalex.org/W1570175539","https://openalex.org/W2012968676","https://openalex.org/W2021867586","https://openalex.org/W2030393728","https://openalex.org/W2042629176","https://openalex.org/W2063244626","https://openalex.org/W2100203796","https://openalex.org/W2106562658","https://openalex.org/W2118642055","https://openalex.org/W2131820056","https://openalex.org/W2183010026","https://openalex.org/W2889747651","https://openalex.org/W2965281379","https://openalex.org/W3186605155"],"related_works":["https://openalex.org/W4390465241","https://openalex.org/W2059677665","https://openalex.org/W2735211706","https://openalex.org/W2391011389","https://openalex.org/W2894257416","https://openalex.org/W4391977111","https://openalex.org/W57719583","https://openalex.org/W1976747621","https://openalex.org/W2087488124","https://openalex.org/W2016304518"],"abstract_inverted_index":{"In":[0,31],"this":[1,36,120],"paper,":[2],"we":[3],"consider":[4],"the":[5,22,26,56,66,69,91,103,110,129,140,156,164,180,206,209,213,216],"flow":[6],"of":[7,28,68,85,102,112,139,160,168,208,215],"an":[8,83],"incompressible":[9],"fluid":[10],"in":[11,59,128],"a":[12,18,39,60,75,148],"deformable":[13],"porous":[14,92,104],"solid.":[15,105],"We":[16,116,187],"present":[17,189],"mathematical":[19,210],"model":[20,77,107,121,165,181,211],"using":[21,119],"framework":[23,37,130,141],"offered":[24],"by":[25,132],"theory":[27,151],"interacting":[29],"continua.":[30],"its":[32],"most":[33],"general":[34],"form,":[35],"provides":[38],"mechanism":[40],"for":[41,74],"capturing":[42],"multiphase":[43],"flow,":[44],"deformation,":[45],"chemical":[46],"reactions":[47],"and":[48,134,153,158,175,178,212],"thermal":[49],"processes,":[50],"as":[51,53,82,127,143],"well":[52],"interactions":[54],"between":[55],"various":[57,170],"physics":[58],"conveniently":[61],"implemented":[62],"fashion.":[63],"To":[64],"simplify":[65],"presentation":[67],"framework,":[70],"results":[71,126],"are":[72,142,202],"presented":[73,203],"particular":[76],"than":[78],"can":[79,123],"be":[80],"seen":[81],"extension":[84],"Darcy's":[86],"equation":[87],"(which":[88],"assumes":[89],"that":[90,96,118],"solid":[93],"is":[94,147,166,182],"rigid)":[95],"takes":[97],"into":[98],"account":[99],"elastic":[100],"deformation":[101,113],"The":[106],"also":[108,188],"considers":[109],"effect":[111],"on":[114],"porosity.":[115],"show":[117],"one":[122],"recover":[124],"identical":[125],"proposed":[131],"Biot":[133],"Terzaghi.":[135],"Some":[136],"salient":[137],"features":[138],"follows:":[144],"(a)":[145],"It":[146],"consistent":[149],"mixture":[150],"model,":[152],"adheres":[154],"to":[155,184,193,204],"laws":[157],"principles":[159],"continuum":[161],"thermodynamics,":[162],"(b)":[163],"capable":[167],"simulating":[169],"important":[171],"phenomena":[172],"like":[173],"consolidation":[174],"surface":[176],"subsidence,":[177],"(c)":[179],"amenable":[183],"several":[185],"extensions.":[186],"numerical":[190,200],"coupling":[191],"algorithms":[192],"obtain":[194],"coupled":[195],"flow-deformation":[196],"response.":[197],"Several":[198],"representative":[199],"examples":[201],"illustrate":[205],"capability":[207],"performance":[214],"computational":[217],"framework.":[218]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2025-10-10T00:00:00"}