{"id":"https://openalex.org/W2115137311","doi":"https://doi.org/10.1137/140967118","title":"A Phase-Field Method for Propagating Fluid-Filled Fractures Coupled to a Surrounding Porous Medium","display_name":"A Phase-Field Method for Propagating Fluid-Filled Fractures Coupled to a Surrounding Porous Medium","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2115137311","doi":"https://doi.org/10.1137/140967118","mag":"2115137311"},"language":"en","primary_location":{"id":"doi:10.1137/140967118","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140967118","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01114228","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077009185","display_name":"Andro Mikeli\u0107","orcid":"https://orcid.org/0000-0002-4752-8705"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andro Mikeli\u0107","raw_affiliation_strings":["Mod\u00e9lisation math\u00e9matique, calcul scientifique"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mod\u00e9lisation math\u00e9matique, calcul scientifique","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104561607","display_name":"Mary F. Wheeler","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mary F. Wheeler","raw_affiliation_strings":["Institute for Computational Engineering and Sciences [Austin]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Computational Engineering and Sciences [Austin]","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010756889","display_name":"Thomas Wick","orcid":"https://orcid.org/0000-0002-1102-6332"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thomas Wick","raw_affiliation_strings":["Institute for Computational Engineering and Sciences [Austin]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Computational Engineering and Sciences [Austin]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":26.5186,"has_fulltext":false,"cited_by_count":241,"citation_normalized_percentile":{"value":0.99903317,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"13","issue":"1","first_page":"367","last_page":"398"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":1.0,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9990000128746033,"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/T11558","display_name":"Composite Material Mechanics","score":0.9986000061035156,"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/biot-number","display_name":"Biot number","score":0.7536741495132446},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.7153472900390625},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5244391560554504},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.5113934874534607},{"id":"https://openalex.org/keywords/stress-field","display_name":"Stress field","score":0.4693601727485657},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4539598524570465},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4448445439338684},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4331137537956238},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3826281726360321},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3585394620895386},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.349756121635437},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31572240591049194},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.20475232601165771},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.11633852124214172},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.10884475708007812}],"concepts":[{"id":"https://openalex.org/C115341296","wikidata":"https://www.wikidata.org/wiki/Q864844","display_name":"Biot number","level":2,"score":0.7536741495132446},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.7153472900390625},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5244391560554504},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5113934874534607},{"id":"https://openalex.org/C2778414698","wikidata":"https://www.wikidata.org/wiki/Q7623438","display_name":"Stress field","level":3,"score":0.4693601727485657},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4539598524570465},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4448445439338684},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4331137537956238},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3826281726360321},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3585394620895386},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.349756121635437},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31572240591049194},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.20475232601165771},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11633852124214172},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.10884475708007812},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/140967118","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140967118","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01114228v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01114228","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://epubs.siam.org/action/doSearch?journalCode=mmsubt&issue=1&volume=13&filter=issue&field1=Contrib&&text1=Andro%20Mikeli%C4%87","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01114228v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01114228","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://epubs.siam.org/action/doSearch?journalCode=mmsubt&issue=1&volume=13&filter=issue&field1=Contrib&&text1=Andro%20Mikeli%C4%87","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1843737582","https://openalex.org/W1970323437","https://openalex.org/W1980905255","https://openalex.org/W1987576086","https://openalex.org/W1992524894","https://openalex.org/W2005447590","https://openalex.org/W2006078294","https://openalex.org/W2033599738","https://openalex.org/W2033882205","https://openalex.org/W2034584048","https://openalex.org/W2037372924","https://openalex.org/W2043198468","https://openalex.org/W2043784721","https://openalex.org/W2055072688","https://openalex.org/W2060471433","https://openalex.org/W2063461366","https://openalex.org/W2063904787","https://openalex.org/W2074646290","https://openalex.org/W2088160222","https://openalex.org/W2098137286","https://openalex.org/W2105965900","https://openalex.org/W2118635499","https://openalex.org/W2121470112","https://openalex.org/W2129945419","https://openalex.org/W2138070359","https://openalex.org/W2150407397","https://openalex.org/W4236112156"],"related_works":["https://openalex.org/W2350014060","https://openalex.org/W3138486632","https://openalex.org/W2153298740","https://openalex.org/W4323064972","https://openalex.org/W2314722823","https://openalex.org/W2012550599","https://openalex.org/W1537558955","https://openalex.org/W2051365595","https://openalex.org/W2590383644","https://openalex.org/W1900509220"],"abstract_inverted_index":{"The":[0,73,92,105],"recently":[1],"introduced":[2],"phase-field":[3,38,59],"approach":[4],"for":[5,17],"pressurized":[6,37],"fractures":[7,44],"in":[8,29,45,114],"a":[9,52,82,102],"porous":[10],"medium":[11],"offers":[12],"various":[13],"attractive":[14],"computational":[15],"features":[16],"numerical":[18,94,111],"simulations":[19],"of":[20],"cracks":[21],"such":[22],"as":[23,63],"joining,":[24],"branching,":[25],"and":[26,70,116],"nonplanar":[27],"propagation":[28],"possibly":[30],"heterogeneous":[31],"media.":[32],"In":[33],"this":[34],"paper,":[35],"the":[36,47,58,89,99],"framework":[39,76,106],"is":[40,49,61,81,86,107],"extended":[41],"to":[42,67],"fluid-filled":[43],"which":[46],"pressure":[48],"computed":[50],"from":[51],"generalized":[53],"parabolic":[54],"diffraction":[55],"problem.":[56],"Here,":[57],"variable":[60],"used":[62],"an":[64],"indicator":[65],"function":[66],"combine":[68],"reservoir":[69],"fracture":[71],"pressure.":[72],"resulting":[74],"three-field":[75],"(elasticity,":[77],"phase":[78],"field,":[79],"pressure)":[80],"multiscale":[83],"problem":[84],"that":[85],"based":[87],"on":[88],"Biot":[90],"equations.":[91],"proposed":[93],"solution":[95],"algorithm":[96],"iteratively":[97],"decouples":[98],"equations":[100],"using":[101],"fixed-stress":[103],"splitting.":[104],"substantiated":[108],"with":[109],"several":[110],"benchmark":[112],"tests":[113],"two":[115],"three":[117],"dimensions.":[118]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":21},{"year":2023,"cited_by_count":27},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":34},{"year":2019,"cited_by_count":24},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":31},{"year":2016,"cited_by_count":21},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-04T07:58:01.006859","created_date":"2025-10-10T00:00:00"}
