{"id":"https://openalex.org/W2069527558","doi":"https://doi.org/10.1137/050623152","title":"Combined Adaptive Multiscale and Level-Set Parameter Estimation","display_name":"Combined Adaptive Multiscale and Level-Set Parameter Estimation","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2069527558","doi":"https://doi.org/10.1137/050623152","mag":"2069527558"},"language":"en","primary_location":{"id":"doi:10.1137/050623152","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050623152","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/A5044931899","display_name":"Martha Lien","orcid":"https://orcid.org/0000-0001-8342-4375"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Martha Lien","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023075206","display_name":"Inga Berre","orcid":"https://orcid.org/0000-0002-0212-7959"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Inga Berre","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006406763","display_name":"Trond Mannseth","orcid":"https://orcid.org/0000-0001-6171-6545"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Trond Mannseth","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044931899"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.1397,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.98129496,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"4","issue":"4","first_page":"1349","last_page":"1372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9973000288009644,"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/T10635","display_name":"Hydraulic Fracturing and Reservoir Analysis","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.6607367396354675},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5564238429069519},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5564090013504028},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5257980227470398},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5169653296470642},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4847952425479889},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4243903160095215},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.41111502051353455},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3487025499343872},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3186468482017517},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15940260887145996},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.12084904313087463},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.114869624376297},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0967409610748291}],"concepts":[{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6607367396354675},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5564238429069519},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5564090013504028},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5257980227470398},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5169653296470642},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4847952425479889},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4243903160095215},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.41111502051353455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3487025499343872},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3186468482017517},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15940260887145996},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.12084904313087463},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.114869624376297},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0967409610748291},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/050623152","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050623152","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":20,"referenced_works":["https://openalex.org/W84228000","https://openalex.org/W199310666","https://openalex.org/W315929303","https://openalex.org/W656657393","https://openalex.org/W1968149231","https://openalex.org/W1977946246","https://openalex.org/W1991113069","https://openalex.org/W2038988652","https://openalex.org/W2042124130","https://openalex.org/W2046892057","https://openalex.org/W2055565344","https://openalex.org/W2056827945","https://openalex.org/W2064902143","https://openalex.org/W2085359408","https://openalex.org/W2086479654","https://openalex.org/W2159451621","https://openalex.org/W2165734775","https://openalex.org/W2236623899","https://openalex.org/W2797431976","https://openalex.org/W4251366914"],"related_works":["https://openalex.org/W2978298679","https://openalex.org/W87843013","https://openalex.org/W4315644953","https://openalex.org/W616311453","https://openalex.org/W3206187690","https://openalex.org/W2088391744","https://openalex.org/W2392446712","https://openalex.org/W2331917905","https://openalex.org/W3155039083","https://openalex.org/W1970914699"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,30,34,57,128,148,169,192,202,249],"solution":[3],"strategy":[4],"for":[5,171],"parameter":[6,130,150],"estimation,":[7],"where":[8,56,209],"we":[9,199],"combine":[10,205],"adaptive":[11],"multiscale":[12],"estimation":[13,17],"(AME)":[14],"and":[15,92,174,207],"level-set":[16],"(LSE).":[18],"The":[19,45,82,156,232],"approach":[20,234],"is":[21,65,77,90,139,168],"applied":[22],"to":[23,79,101,165,187,204,239],"the":[24,86,97,105,112,116,133,137,153,160,178,218,229,244],"nonlinear":[25],"inverse":[26,75],"problem":[27,76],"of":[28,36,85,111,132,152,177,217,243,252],"recovering":[29,240],"coefficient":[31,58,88,117,154,246],"function":[32,59,89,118],"in":[33,49,72,104,115],"system":[35],"differential":[37],"equations":[38,47],"from":[39],"spatially":[40],"sparsely":[41],"distributed":[42],"measurement":[43],"data.":[44],"specific":[46],"considered":[48],"this":[50,197],"paper":[51],"describe":[52],"two-phase":[53],"porous-media":[54],"flow":[55],"defining":[60],"absolute":[61],"permeability":[62],"(fluid":[63],"conductivity)":[64],"estimated":[66],"based":[67],"on":[68,159,225],"fluid":[69],"pressure":[70],"observations":[71],"wells.":[73],"This":[74],"known":[78],"be":[80,120,222],"ill-posed.":[81],"spatial":[83],"variability":[84,114],"sought":[87,134,245],"unknown":[91],"will":[93,119],"typically":[94],"vary":[95],"within":[96],"porous":[98],"medium.":[99],"Due":[100],"limited":[102],"information":[103],"available":[106],"data,":[107],"mainly":[108],"coarse-scale":[109,241],"features":[110,242],"existing":[113],"attainable.":[121],"In":[122,185,196],"AME,":[123],"one":[124],"starts":[125],"out":[126],"with":[127,237,248],"single":[129],"representation":[131],"function,":[135],"whereafter":[136],"domain":[138],"successively":[140],"divided":[141],"into":[142,181],"finer":[143],"rectangular":[144],"zones,":[145],"each":[146,211],"representing":[147],"constant":[149],"value":[151],"function.":[155],"strong":[157],"restrictions":[158],"zone":[161,179,219],"geometry":[162],"may":[163,221],"lead":[164],"overparameterization.":[166],"LSE":[167,190],"method":[170,227],"moving":[172],"curves":[173],"enables":[175],"adjustments":[176],"structure":[180,220],"more":[182],"general":[183],"geometries.":[184],"order":[186],"perform":[188],"well,":[189],"requires":[191],"reasonable":[193],"starting":[194],"point.":[195],"paper,":[198],"have":[200],"developed":[201],"methodology":[203],"AME":[206],"LSE,":[208],"at":[210],"step":[212],"either":[213],"refinements":[214],"or":[215],"deformation":[216],"conducted,":[223],"depending":[224],"which":[226],"promises":[228],"better":[230],"result.":[231],"combined":[233],"seems":[235],"promising":[236],"respect":[238],"functions":[247],"low":[250],"number":[251],"parameters.":[253]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}