{"id":"https://openalex.org/W2016403855","doi":"https://doi.org/10.2118/79694-ms","title":"Stabilized Finite Element Methods for Coupled Geomechanics \u2013 Reservoir Flow Simulations","display_name":"Stabilized Finite Element Methods for Coupled Geomechanics \u2013 Reservoir Flow Simulations","publication_year":2003,"publication_date":"2003-02-03","ids":{"openalex":"https://openalex.org/W2016403855","doi":"https://doi.org/10.2118/79694-ms","mag":"2016403855"},"language":"en","primary_location":{"id":"doi:10.2118/79694-ms","doi":"https://doi.org/10.2118/79694-ms","is_oa":false,"landing_page_url":"https://doi.org/10.2118/79694-ms","pdf_url":null,"source":{"id":"https://openalex.org/S4306530705","display_name":"SPE Reservoir Simulation Conference","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SPE Reservoir Simulation Symposium","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103580986","display_name":"Jing Wan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Wan","raw_affiliation_strings":["1 Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1 Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002057296","display_name":"Louis J. Durlofsky","orcid":"https://orcid.org/0000-0003-2733-6543","observed_orcids":["https://orcid.org/0000-0003-2733-6543"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. J. Durlofsky","raw_affiliation_strings":["1 Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1 Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031451887","display_name":"Thomas J.R. Hughes","orcid":"https://orcid.org/0000-0001-7024-8368","observed_orcids":["https://orcid.org/0000-0001-7024-8368","https://orcid.org/0009-0008-4299-5145"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. J. R. Hughes","raw_affiliation_strings":["1 Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1 Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060666498","display_name":"Khalid Aziz","orcid":"https://orcid.org/0000-0002-7868-9069","observed_orcids":["https://orcid.org/0000-0002-7868-9069","https://orcid.org/0000-0003-4413-5508"]},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K. Aziz","raw_affiliation_strings":["1 Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1 Stanford University","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":3.5766,"has_fulltext":false,"cited_by_count":76,"citation_normalized_percentile":{"value":0.92430124,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.41260001063346863,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.41260001063346863,"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/T10635","display_name":"Hydraulic Fracturing and Reservoir Analysis","score":0.41190001368522644,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.07119999825954437,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"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/reservoir-simulation","display_name":"reservoir simulation","score":0.7080000042915344},{"id":"https://openalex.org/keywords/stabilized-finite-element-method","display_name":"stabilized finite element method","score":0.8379999995231628},{"id":"https://openalex.org/keywords/babuska-brezzi-condition","display_name":"Babu\u0161ka-Brezzi condition","score":0.9580000042915344},{"id":"https://openalex.org/keywords/pressure-oscillations","display_name":"pressure oscillations","score":0.8980000019073486},{"id":"https://openalex.org/keywords/stress-sensitive-reservoirs","display_name":"stress-sensitive reservoirs","score":0.7870000004768372},{"id":"https://openalex.org/keywords/rock-deformation","display_name":"rock deformation","score":0.6069999933242798},{"id":"https://openalex.org/keywords/force-balance","display_name":"force balance","score":0.5400000214576721},{"id":"https://openalex.org/keywords/pore-pressure","display_name":"pore pressure","score":0.703000009059906},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"finite volume method","score":0.8040000200271606},{"id":"https://openalex.org/keywords/mass-balance-equations","display_name":"mass balance equations","score":0.6539999842643738},{"id":"https://openalex.org/keywords/low-permeability-barriers","display_name":"low-permeability barriers","score":0.7490000128746033},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"numerical stability","score":0.48899999260902405}],"concepts":[{"id":"https://openalex.org/C185715996","wikidata":"https://www.wikidata.org/wiki/Q2670285","display_name":"Geomechanics","level":2,"score":0.8324240446090698},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7537423372268677},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5619931817054749},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4938260018825531},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.473240464925766},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4506804645061493},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.41798752546310425},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39940163493156433},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38202303647994995},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.311659038066864},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.25353723764419556},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.20558124780654907},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19463616609573364},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1941634714603424},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.13608449697494507},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2118/79694-ms","doi":"https://doi.org/10.2118/79694-ms","is_oa":false,"landing_page_url":"https://doi.org/10.2118/79694-ms","pdf_url":null,"source":{"id":"https://openalex.org/S4306530705","display_name":"SPE Reservoir Simulation Conference","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SPE Reservoir Simulation Symposium","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W656657393","https://openalex.org/W1542994047","https://openalex.org/W1580192384","https://openalex.org/W1964406532","https://openalex.org/W1968364545","https://openalex.org/W1969540877","https://openalex.org/W1977727715","https://openalex.org/W1979560958","https://openalex.org/W1986608219","https://openalex.org/W2015148405","https://openalex.org/W2016403855","https://openalex.org/W2028740696","https://openalex.org/W2041005267","https://openalex.org/W2050092501","https://openalex.org/W2054248209","https://openalex.org/W2065438814","https://openalex.org/W2073897969","https://openalex.org/W2082969232","https://openalex.org/W2083510900","https://openalex.org/W2088904218","https://openalex.org/W2097951549","https://openalex.org/W2111446010","https://openalex.org/W2149400269","https://openalex.org/W4231175842","https://openalex.org/W4255695603","https://openalex.org/W6621717652","https://openalex.org/W6790340191"],"related_works":["https://openalex.org/W7097170520","https://openalex.org/W1990997499","https://openalex.org/W2106514778","https://openalex.org/W2179474776","https://openalex.org/W2037547326","https://openalex.org/W2292525429","https://openalex.org/W2068671018","https://openalex.org/W1983731606","https://openalex.org/W1968640337","https://openalex.org/W2623460117"],"abstract_inverted_index":{"Abstract":[0],"Coupled":[1],"geomechanical-fluid":[2],"flow":[3],"models":[4,35,84,150],"are":[5,85,133],"needed":[6],"to":[7,49,94,107,121,192],"account":[8],"for":[9,156,164,200],"rock":[10],"deformation":[11],"resulting":[12],"from":[13],"flow-induced":[14],"pressure":[15,50,113],"changes":[16],"in":[17,135],"stress":[18],"sensitive":[19],"reservoirs.":[20],"There":[21],"are,":[22],"however,":[23],"issues":[24],"of":[25,55,58,68,79,82,130,166],"numerical":[26],"stability":[27,195],"that":[28,44,175],"must":[29],"be":[30,37],"addressed":[31],"before":[32],"these":[33],"coupled":[34,83,138,146,149],"can":[36,47],"used":[38],"reliably.":[39],"Specifically,":[40],"it":[41],"is":[42,92,142,190],"known":[43],"standard":[45],"procedures":[46],"lead":[48],"oscillations":[51],"as":[52],"a":[53,77,102,117,136],"result":[54],"the":[56,59,69,96,109,123,131,157,167],"violation":[57],"Babu\u0161ka-Brezzi":[60],"(B-B)":[61],"condition,":[62],"which":[63],"requires":[64],"unequal":[65],"order":[66],"interpolation":[67],"displacement":[70],"and":[71,112,147,199],"pore-pressure":[72],"variables.":[73],"In":[74],"this":[75],"paper,":[76],"number":[78],"different":[80],"types":[81],"considered.":[86],"A":[87],"novel":[88],"finite":[89,104,118,154,161],"element":[90,105],"method":[91,100,120,141,189],"developed":[93,151],"circumvent":[95],"B-B":[97],"condition.":[98],"The":[99,187],"applies":[101],"stabilized":[103,188],"technique":[106],"solve":[108,122],"force":[110,158],"balance":[111,127,159,170],"equations":[114,132],"along":[115],"with":[116,144,160,202],"volume":[119,162],"remaining":[124],"component":[125,168],"mass":[126,169],"equations.":[128,171],"All":[129],"solved":[134],"fully":[137,145],"fashion.":[139],"This":[140],"compared":[143],"iteratively":[148],"using":[152],"non-stabilized":[153],"elements":[155],"methods":[163,177],"all":[165,176],"These":[172],"comparisons":[173],"demonstrate":[174],"perform":[178],"reliably":[179],"on":[180],"homogeneous":[181],"reservoirs":[182,201],"over":[183],"long":[184],"time":[185],"scales.":[186],"shown":[191],"provide":[193],"improved":[194],"at":[196],"early":[197],"times":[198],"very":[203],"low":[204],"permeability":[205],"barriers.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-10-29T09:56:32.521200","created_date":"2016-06-24T00:00:00"}
