{"id":"https://openalex.org/W2021475508","doi":"https://doi.org/10.1137/040616061","title":"Permeability Hysteresis in Gravity Counterflow Segregation","display_name":"Permeability Hysteresis in Gravity Counterflow Segregation","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2021475508","doi":"https://doi.org/10.1137/040616061","mag":"2021475508"},"language":"en","primary_location":{"id":"doi:10.1137/040616061","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040616061","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/A5043172751","display_name":"Christian E. Schaerer","orcid":"https://orcid.org/0000-0002-0587-7704"},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"C. E. Schaerer","raw_affiliation_strings":["Instituto de Matem\u00e1tica Pura e Aplicada-IMPA, E. D. Castorina 110, 22460-320, Rio de Janeiro, RJ, Brazil"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Pura e Aplicada-IMPA, E. D. Castorina 110, 22460-320, Rio de Janeiro, RJ, Brazil","institution_ids":["https://openalex.org/I141883831"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013057033","display_name":"D. Marchesin","orcid":null},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"D. Marchesin","raw_affiliation_strings":["Instituto de Matem\u00e1tica Pura e Aplicada-IMPA, E. D. Castorina 110, 22460-320, Rio de Janeiro, RJ, Brazil"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Pura e Aplicada-IMPA, E. D. Castorina 110, 22460-320, Rio de Janeiro, RJ, Brazil","institution_ids":["https://openalex.org/I141883831"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025777901","display_name":"Marcus Sarkis","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Sarkis","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5075699379","display_name":"Pavel Bedrikovetsky","orcid":"https://orcid.org/0000-0002-4786-8275"},"institutions":[{"id":"https://openalex.org/I3130050927","display_name":"State University of Norte Fluminense","ror":"https://ror.org/00xb6aw94","country_code":"BR","type":"education","lineage":["https://openalex.org/I3130050927"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"P. Bedrikovetsky","raw_affiliation_strings":["Petroleum Department, North Fluminense State University, R. Sebasti\u00e3o Lopes da Silva 56, Maca\u00e9, 27937-150 RJ, Brazil"],"affiliations":[{"raw_affiliation_string":"Petroleum Department, North Fluminense State University, R. Sebasti\u00e3o Lopes da Silva 56, Maca\u00e9, 27937-150 RJ, Brazil","institution_ids":["https://openalex.org/I3130050927"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5013057033"],"corresponding_institution_ids":["https://openalex.org/I141883831"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.12066069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"66","issue":"5","first_page":"1512","last_page":"1532"},"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":0.9977999925613403,"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":0.9977999925613403,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9970999956130981,"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":0.9958000183105469,"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/imbibition","display_name":"Imbibition","score":0.9080100059509277},{"id":"https://openalex.org/keywords/permeability","display_name":"Permeability (electromagnetism)","score":0.7055663466453552},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.6848400235176086},{"id":"https://openalex.org/keywords/hysteresis","display_name":"Hysteresis","score":0.6343095302581787},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5207745432853699},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42621058225631714},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4213276505470276},{"id":"https://openalex.org/keywords/two-phase-flow","display_name":"Two-phase flow","score":0.41431719064712524},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.34417521953582764},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.29494109749794006},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.271329402923584},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.247088223695755},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.11586552858352661}],"concepts":[{"id":"https://openalex.org/C2778409621","wikidata":"https://www.wikidata.org/wiki/Q1659781","display_name":"Imbibition","level":3,"score":0.9080100059509277},{"id":"https://openalex.org/C120882062","wikidata":"https://www.wikidata.org/wiki/Q28352","display_name":"Permeability (electromagnetism)","level":3,"score":0.7055663466453552},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.6848400235176086},{"id":"https://openalex.org/C123299182","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Hysteresis","level":2,"score":0.6343095302581787},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5207745432853699},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42621058225631714},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4213276505470276},{"id":"https://openalex.org/C144308804","wikidata":"https://www.wikidata.org/wiki/Q232997","display_name":"Two-phase flow","level":3,"score":0.41431719064712524},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.34417521953582764},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.29494109749794006},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.271329402923584},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.247088223695755},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.11586552858352661},{"id":"https://openalex.org/C100701293","wikidata":"https://www.wikidata.org/wiki/Q193838","display_name":"Germination","level":2,"score":0.0},{"id":"https://openalex.org/C41625074","wikidata":"https://www.wikidata.org/wiki/Q176088","display_name":"Membrane","level":2,"score":0.0},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/040616061","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040616061","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:digitalcommons.wpi.edu:mathematicalsciences-pubs-1045","is_oa":false,"landing_page_url":"https://digitalcommons.wpi.edu/cgi/viewcontent.cgi?article=1045&context=mathematicalsciences-pubs","pdf_url":null,"source":{"id":"https://openalex.org/S4377196141","display_name":"Digital WPI","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Sciences Faculty Publications","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.489.9953","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.489.9953","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://users.wpi.edu/~msarkis/papers/SSMB_06.pdf","raw_type":"text"},{"id":"pmh:oai:bibcyt.ucla.edu.ve:T070300014386/2","is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300014386/2&Nombrebd=Bciucla","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"pmh:oai:digital.library.adelaide.edu.au:2440/47408","is_oa":false,"landing_page_url":"http://hdl.handle.net/2440/47408","pdf_url":null,"source":{"id":"https://openalex.org/S4306401835","display_name":"Adelaide Research & Scholarship (AR&S) (University of Adelaide)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5681781","host_organization_name":"The University of Adelaide","host_organization_lineage":["https://openalex.org/I5681781"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dx.doi.org/10.1137/040616061","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[{"id":"https://openalex.org/G3601516360","display_name":null,"funder_award_id":"Brazil","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G3774713694","display_name":"CAREER:  Multi-Level Multi-Material Problem Solver Environment with Semisolid Material Applications and Education","funder_award_id":"9984404","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5079005330","display_name":null,"funder_award_id":"support","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W11372905","https://openalex.org/W656657393","https://openalex.org/W1483397936","https://openalex.org/W1517656122","https://openalex.org/W1965462598","https://openalex.org/W1977449576","https://openalex.org/W1977499535","https://openalex.org/W2002830170","https://openalex.org/W2008433620","https://openalex.org/W2019211548","https://openalex.org/W2031328613","https://openalex.org/W2034976587","https://openalex.org/W2044098605","https://openalex.org/W2044670314","https://openalex.org/W2059366768","https://openalex.org/W2077106134","https://openalex.org/W2094865853","https://openalex.org/W2778033595"],"related_works":["https://openalex.org/W2004690139","https://openalex.org/W2023028181","https://openalex.org/W2009450764","https://openalex.org/W2524877387","https://openalex.org/W2035057460","https://openalex.org/W2095262078","https://openalex.org/W2342396098","https://openalex.org/W3146107892","https://openalex.org/W1892613812","https://openalex.org/W1492403222"],"abstract_inverted_index":{"Hysteresis":[0],"effects":[1],"in":[2,5,10,18,137],"two-phase":[3],"flow":[4,32],"porous":[6],"media":[7],"are":[8,82],"important":[9],"applications":[11],"such":[12,30],"as":[13,67,84,86],"waterflooding":[14],"or":[15],"gas":[16],"storage":[17],"sand":[19],"aquifers.":[20],"In":[21,120],"this":[22],"paper,":[23],"we":[24],"develop":[25],"a":[26,31,40,68],"numerical":[27,106,123],"scheme":[28,55,81,124],"for":[29,79],"where":[33],"the":[34,71,80,87,91,114,118,122,127,138],"permeability":[35,52,115],"hysteresis":[36,116,132],"is":[37,56,133],"modeled":[38],"by":[39,47],"family":[41],"of":[42,70,100,113],"reversible":[43],"scanning":[44],"curves":[45],"enclosed":[46],"irreversible":[48],"imbibition":[49],"and":[50,63,102,107],"drainage":[51],"curves.":[53],"The":[54,75,105],"based":[57],"on":[58,117],"associated":[59],"local":[60],"Riemann":[61,76,94],"solutions":[62,77],"can":[64],"be":[65],"viewed":[66],"modification":[69],"classical":[72],"Godunov":[73],"method.":[74],"necessary":[78],"presented,":[83],"well":[85],"criteria":[88],"that":[89],"guarantee":[90],"well-posedness":[92],"ofthe":[93],"problem":[95],"with":[96],"respect":[97],"to":[98],"perturbations":[99],"left":[101],"right":[103],"states.":[104],"analytical":[108],"results":[109],"show":[110],"strong":[111],"influence":[112],"flow.":[119],"addition,":[121],"accurately":[125],"reproduces":[126],"available":[128],"experimental":[129],"data":[130],"once":[131],"taken":[134],"into":[135],"account":[136],"model.":[139]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
