{"id":"https://openalex.org/W2031334421","doi":"https://doi.org/10.1137/060650404","title":"Efficient Incorporation of Global Effects in Upscaled Models of Two-Phase Flow and Transport in Heterogeneous Formations","display_name":"Efficient Incorporation of Global Effects in Upscaled Models of Two-Phase Flow and Transport in Heterogeneous Formations","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2031334421","doi":"https://doi.org/10.1137/060650404","mag":"2031334421"},"language":"en","primary_location":{"id":"doi:10.1137/060650404","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060650404","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 & Simulation","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/A5114858803","display_name":"Yuguang Chen","orcid":"https://orcid.org/0000-0002-1679-6395"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yuguang Chen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5002057296","display_name":"Louis J. Durlofsky","orcid":"https://orcid.org/0000-0003-2733-6543"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Louis J. Durlofsky","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5114858803"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6162,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.89375639,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"5","issue":"2","first_page":"445","last_page":"475"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994000196456909,"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/T11558","display_name":"Composite Material Mechanics","score":0.9959999918937683,"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/computation","display_name":"Computation","score":0.5859377980232239},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5696583986282349},{"id":"https://openalex.org/keywords/relative-permeability","display_name":"Relative permeability","score":0.5199414491653442},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4935568571090698},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.46616891026496887},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4275834560394287},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.42285722494125366},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38088715076446533},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.37525853514671326},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3713683485984802},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37037283182144165},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34647369384765625},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.2397345006465912},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17948588728904724},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14375385642051697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13426828384399414},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.12317979335784912},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07722234725952148}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5859377980232239},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5696583986282349},{"id":"https://openalex.org/C113378726","wikidata":"https://www.wikidata.org/wiki/Q7310797","display_name":"Relative permeability","level":3,"score":0.5199414491653442},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4935568571090698},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.46616891026496887},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4275834560394287},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.42285722494125366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38088715076446533},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.37525853514671326},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3713683485984802},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37037283182144165},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34647369384765625},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.2397345006465912},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17948588728904724},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14375385642051697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13426828384399414},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.12317979335784912},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07722234725952148},{"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/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/060650404","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060650404","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 & Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W22751996","https://openalex.org/W155382158","https://openalex.org/W192773411","https://openalex.org/W260872158","https://openalex.org/W1499393129","https://openalex.org/W1516954207","https://openalex.org/W1530030810","https://openalex.org/W1545095299","https://openalex.org/W1563329641","https://openalex.org/W1653265391","https://openalex.org/W1974210778","https://openalex.org/W1983139887","https://openalex.org/W1986663052","https://openalex.org/W1991014164","https://openalex.org/W2005788407","https://openalex.org/W2019649196","https://openalex.org/W2024798661","https://openalex.org/W2029612298","https://openalex.org/W2029918260","https://openalex.org/W2041651115","https://openalex.org/W2046463940","https://openalex.org/W2050892063","https://openalex.org/W2056236393","https://openalex.org/W2065292253","https://openalex.org/W2069326881","https://openalex.org/W2076799009","https://openalex.org/W2082921768","https://openalex.org/W2090392691","https://openalex.org/W2104040898","https://openalex.org/W2130866345","https://openalex.org/W2157366329","https://openalex.org/W2165752777"],"related_works":["https://openalex.org/W2912679009","https://openalex.org/W2057996673","https://openalex.org/W1597420886","https://openalex.org/W2064565396","https://openalex.org/W2028690217","https://openalex.org/W2073968511","https://openalex.org/W2382803696","https://openalex.org/W2124696720","https://openalex.org/W1976017160","https://openalex.org/W2147638105"],"abstract_inverted_index":{"Geological":[0],"variability":[1],"occurring":[2],"over":[3],"multiple":[4],"length":[5],"scales":[6],"can":[7],"significantly":[8],"affect":[9],"fluid":[10],"flow":[11,36,80,117],"in":[12,141,193],"subsurface":[13],"formations.":[14],"In":[15],"this":[16],"paper":[17],"we":[18],"explore":[19],"the":[20,28,100,142,148,157,209],"impact":[21],"of":[22,30,147,160,202],"large":[23],"scale":[24,32,59,122],"(global)":[25],"information":[26],"on":[27,40],"accuracy":[29,159],"coarse":[31,48,121,219],"models":[33,49,70],"for":[34,46,71,78,106,114,138,166,171,200],"two-phase":[35,72,79,120,167],"and":[37,85,91],"transport.":[38],"Based":[39],"these":[41,203],"findings,":[42],"a":[43,86,115],"new":[44,210],"methodology":[45,211],"generating":[47],"is":[50,180,212],"introduced.":[51],"This":[52],"approach,":[53],"which":[54,135],"avoids":[55],"any":[56],"global":[57,107,139,188],"fine":[58],"calculations,":[60],"entails":[61],"adaptive":[62,101,149],"local-global":[63,102,150],"single-phase":[64,95,152],"parameter":[65],"upscaling":[66,197],"coupled":[67],"with":[68,187],"subgrid":[69,76],"parameters.":[73],"Two":[74],"related":[75],"treatments":[77,165],"effects---a":[81],"pseudorelative":[82],"permeability":[83],"model":[84],"generalized":[87],"convection-diffusion":[88],"model---are":[89],"investigated":[90],"applied.":[92],"The":[93,119,145,177],"upscaled":[94,151],"parameters":[96],"(transmissibilities),":[97],"computed":[98,125],"using":[99,129],"procedure,":[103],"account":[104,136],"explicitly":[105],"boundary":[108,132,189],"conditions":[109,133,190],"as":[110,154,156],"they":[111],"are":[112,124,169,205],"adapted":[113],"specific":[116],"scenario.":[118],"functions":[123],"from":[126],"local":[127,143],"simulations":[128],"effective":[130],"flux":[131],"(EFBCs),":[134],"approximately":[137],"effects":[140],"computations.":[144],"advantages":[146],"parameters,":[153,168],"well":[155],"superior":[158],"EFBCs":[161],"relative":[162],"to":[163,183,214],"standard":[164,196],"demonstrated":[170],"several":[172],"challenging":[173],"two-dimensional":[174],"example":[175],"cases.":[176],"overall":[178],"method":[179],"also":[181],"applied":[182],"highly":[184],"heterogeneous":[185],"systems":[186],"that":[191],"vary":[192],"time.":[194],"Using":[195],"methods,":[198],"errors":[199],"some":[201],"cases":[204],"very":[206],"large,":[207],"though":[208],"shown":[213],"consistently":[215],"provide":[216],"reasonably":[217],"accurate":[218],"models.":[220]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}