{"id":"https://openalex.org/W2012332227","doi":"https://doi.org/10.1137/s0036139998333427","title":"Analysis of a Compositional Model for Fluid Flow in Porous Media","display_name":"Analysis of a Compositional Model for Fluid Flow in Porous Media","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2012332227","doi":"https://doi.org/10.1137/s0036139998333427","mag":"2012332227"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139998333427","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139998333427","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","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/A5101799712","display_name":"Guan Qin","orcid":"https://orcid.org/0000-0003-0527-9517"},"institutions":[{"id":"https://openalex.org/I178169726","display_name":"Southern Methodist University","ror":"https://ror.org/042tdr378","country_code":"US","type":"education","lineage":["https://openalex.org/I178169726"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guan Qin","raw_affiliation_strings":["Department of Mathematics, Box 750156, Southern Methodist University, Dallas, TX 75275-0156,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Box 750156, Southern Methodist University, Dallas, TX 75275-0156,","institution_ids":["https://openalex.org/I178169726"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112526925","display_name":"Richard E. Ewing","orcid":null},"institutions":[{"id":"https://openalex.org/I178169726","display_name":"Southern Methodist University","ror":"https://ror.org/042tdr378","country_code":"US","type":"education","lineage":["https://openalex.org/I178169726"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard E. Ewing","raw_affiliation_strings":["Department of Mathematics, Box 750156, Southern Methodist University, Dallas, TX 75275-0156,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Box 750156, Southern Methodist University, Dallas, TX 75275-0156,","institution_ids":["https://openalex.org/I178169726"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086480330","display_name":"Zhangxin Chen","orcid":"https://orcid.org/0000-0002-9107-1925"},"institutions":[{"id":"https://openalex.org/I178169726","display_name":"Southern Methodist University","ror":"https://ror.org/042tdr378","country_code":"US","type":"education","lineage":["https://openalex.org/I178169726"]},{"id":"https://openalex.org/I923382979","display_name":"ExxonMobil (United States)","ror":"https://ror.org/01xcepn55","country_code":"US","type":"company","lineage":["https://openalex.org/I923382979"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhangxin Chen","raw_affiliation_strings":["Upstream Strategic Research, Mobil Technology Company, Dallas, TX 75244-4390,","Department of Mathematics, Box 750156, Southern Methodist University, Dallas, TX 75275-0156,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Upstream Strategic Research, Mobil Technology Company, Dallas, TX 75244-4390,","institution_ids":["https://openalex.org/I923382979"]},{"raw_affiliation_string":"Department of Mathematics, Box 750156, Southern Methodist University, Dallas, TX 75275-0156,","institution_ids":["https://openalex.org/I178169726"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6642,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.81947113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"60","issue":"3","first_page":"747","last_page":"777"},"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":0.9995999932289124,"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":0.9995999932289124,"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":0.9995999932289124,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conservation-of-mass","display_name":"Conservation of mass","score":0.78033047914505},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.7232535481452942},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.6834834218025208},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5805926322937012},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5514947175979614},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5502609014511108},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5447240471839905},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5304821133613586},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.5156061053276062},{"id":"https://openalex.org/keywords/darcys-law","display_name":"Darcy's law","score":0.4657597839832306},{"id":"https://openalex.org/keywords/two-phase-flow","display_name":"Two-phase flow","score":0.4476736783981323},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4397372603416443},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3951168656349182},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.35268259048461914},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.31956541538238525},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2987324595451355},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19680356979370117},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1289815902709961},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.11267927289009094},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.10612118244171143}],"concepts":[{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.78033047914505},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.7232535481452942},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.6834834218025208},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5805926322937012},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5514947175979614},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5502609014511108},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5447240471839905},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5304821133613586},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.5156061053276062},{"id":"https://openalex.org/C183447037","wikidata":"https://www.wikidata.org/wiki/Q392416","display_name":"Darcy's law","level":4,"score":0.4657597839832306},{"id":"https://openalex.org/C144308804","wikidata":"https://www.wikidata.org/wiki/Q232997","display_name":"Two-phase flow","level":3,"score":0.4476736783981323},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4397372603416443},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3951168656349182},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.35268259048461914},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.31956541538238525},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2987324595451355},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19680356979370117},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1289815902709961},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.11267927289009094},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.10612118244171143}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036139998333427","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139998333427","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:oaktrust.library.tamu.edu:1969.1/184767","is_oa":false,"landing_page_url":"https://hdl.handle.net/1969.1/184767","pdf_url":null,"source":{"id":"https://openalex.org/S4306400291","display_name":"OakTrust (Texas A&M University Libraries)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I91045830","host_organization_name":"Texas A&M University","host_organization_lineage":["https://openalex.org/I91045830"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W656657393","https://openalex.org/W1492746283","https://openalex.org/W1590096573","https://openalex.org/W1852082788","https://openalex.org/W1965462598","https://openalex.org/W1976606387","https://openalex.org/W1980787167","https://openalex.org/W1996697036","https://openalex.org/W2001698961","https://openalex.org/W2019094916","https://openalex.org/W2020616432","https://openalex.org/W2026535266","https://openalex.org/W2031208268","https://openalex.org/W2032730144","https://openalex.org/W2040933131","https://openalex.org/W2044998128","https://openalex.org/W2051682834","https://openalex.org/W2059610520","https://openalex.org/W2062618977","https://openalex.org/W2077106134","https://openalex.org/W2084813623","https://openalex.org/W2086465716","https://openalex.org/W2125610241","https://openalex.org/W2129288307","https://openalex.org/W2132679752","https://openalex.org/W2464997744","https://openalex.org/W2798766386","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W1488888950","https://openalex.org/W4254835514","https://openalex.org/W4240700198","https://openalex.org/W1517001366","https://openalex.org/W2577602185","https://openalex.org/W2100166582","https://openalex.org/W2587301085","https://openalex.org/W10626200","https://openalex.org/W2405396227","https://openalex.org/W1632811932"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"consider":[4],"a":[5],"compositional":[6,115],"model":[7,17,116],"for":[8,22,28,33,43,86,96],"three-phase":[9],"multicomponent":[10],"fluid":[11],"flow":[12,24],"in":[13,53],"porous":[14],"media.":[15],"This":[16],"consists":[18],"of":[19,41,55,58,110,122],"Darcy's":[20],"law":[21],"volumetric":[23],"velocities,":[25],"mass":[26,34],"conservation":[27],"hydrocarbon":[29],"components,":[30],"thermodynamic":[31],"equilibrium":[32],"interchange":[35],"between":[36],"phases,":[37],"and":[38,48,61,68,71,90,117],"an":[39],"equation":[40,89],"state":[42],"saturations.":[44],"These":[45],"differential":[46],"equations":[47,99],"algebraic":[49],"constraints":[50],"are":[51,74,104],"rewritten":[52],"terms":[54],"various":[56],"formulations":[57,73],"the":[59,81,87,91,97,108,111,114,120,123],"pressure":[60,70,88],"component-conservation":[62,72,98],"equations.":[63],"Phase,":[64],"weighted":[65],"fluid,":[66],"global,":[67],"pseudoglobal":[69],"analyzed.":[75],"A":[76],"numerical":[77,125],"scheme":[78],"based":[79],"on":[80],"mixed":[82],"finite":[83],"element":[84],"method":[85,95],"Eulerian--Lagrangian":[92],"localized":[93],"adjoint":[94],"is":[100],"developed.":[101],"Numerical":[102],"results":[103],"reported":[105],"to":[106,113,118],"show":[107],"behavior":[109],"solution":[112],"investigate":[119],"performance":[121],"proposed":[124],"scheme.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
