{"id":"https://openalex.org/W2007691267","doi":"https://doi.org/10.1007/s00791-013-0206-3","title":"Hysteretic upscaled constitutive relationships for vertically integrated porous media flow","display_name":"Hysteretic upscaled constitutive relationships for vertically integrated porous media flow","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W2007691267","doi":"https://doi.org/10.1007/s00791-013-0206-3","mag":"2007691267"},"language":"en","primary_location":{"id":"doi:10.1007/s00791-013-0206-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-013-0206-3","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing and Visualization in Science","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/A5037664666","display_name":"Florian Doster","orcid":"https://orcid.org/0000-0001-7460-573X"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Florian Doster","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Princeton University, Princeton, NJ, USA","Department of Civil & Environmental Engineering, Princeton University, Princeton, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Civil & Environmental Engineering, Princeton University, Princeton, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087384117","display_name":"Jan M. Nordbotten","orcid":"https://orcid.org/0000-0003-1455-5704"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Jan M. Nordbotten","raw_affiliation_strings":["Department of Mathematics, University of Bergen, Bergen, Norway","Department of Mathematics, University of Bergen , Bergen , Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Department of Mathematics, University of Bergen , Bergen , Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048257969","display_name":"Michael A. Celia","orcid":"https://orcid.org/0000-0002-1927-6600"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael A. Celia","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Princeton University, Princeton, NJ, USA","Department of Civil & Environmental Engineering, Princeton University, Princeton, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Civil & Environmental Engineering, Princeton University, Princeton, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037664666"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":3.5744,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.91454852,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"15","issue":"4","first_page":"147","last_page":"161"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10491","display_name":"Enhanced Oil Recovery Techniques","score":0.9997000098228455,"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/T10491","display_name":"Enhanced Oil Recovery Techniques","score":0.9997000098228455,"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":0.9995999932289124,"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/T10399","display_name":"Hydrocarbon exploration and reservoir analysis","score":0.9991999864578247,"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/capillary-pressure","display_name":"Capillary pressure","score":0.7642258405685425},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.6716257929801941},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.6233784556388855},{"id":"https://openalex.org/keywords/relative-permeability","display_name":"Relative permeability","score":0.5603936314582825},{"id":"https://openalex.org/keywords/capillary-action","display_name":"Capillary action","score":0.5565775036811829},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.5459635853767395},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5335417985916138},{"id":"https://openalex.org/keywords/buoyancy","display_name":"Buoyancy","score":0.46579205989837646},{"id":"https://openalex.org/keywords/hydrostatic-equilibrium","display_name":"Hydrostatic equilibrium","score":0.4506707787513733},{"id":"https://openalex.org/keywords/constitutive-equation","display_name":"Constitutive equation","score":0.4236512780189514},{"id":"https://openalex.org/keywords/hysteresis","display_name":"Hysteresis","score":0.42050665616989136},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.4121585786342621},{"id":"https://openalex.org/keywords/permeability","display_name":"Permeability (electromagnetism)","score":0.41028618812561035},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.3787391185760498},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3775646686553955},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34330734610557556},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23956888914108276},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.234796404838562},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.1309385597705841},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.08012911677360535}],"concepts":[{"id":"https://openalex.org/C48797263","wikidata":"https://www.wikidata.org/wiki/Q4212891","display_name":"Capillary pressure","level":4,"score":0.7642258405685425},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.6716257929801941},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6233784556388855},{"id":"https://openalex.org/C113378726","wikidata":"https://www.wikidata.org/wiki/Q7310797","display_name":"Relative permeability","level":3,"score":0.5603936314582825},{"id":"https://openalex.org/C196806460","wikidata":"https://www.wikidata.org/wiki/Q188603","display_name":"Capillary action","level":2,"score":0.5565775036811829},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.5459635853767395},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5335417985916138},{"id":"https://openalex.org/C538625479","wikidata":"https://www.wikidata.org/wiki/Q6497624","display_name":"Buoyancy","level":2,"score":0.46579205989837646},{"id":"https://openalex.org/C134853933","wikidata":"https://www.wikidata.org/wiki/Q208641","display_name":"Hydrostatic equilibrium","level":2,"score":0.4506707787513733},{"id":"https://openalex.org/C202973686","wikidata":"https://www.wikidata.org/wiki/Q1937401","display_name":"Constitutive equation","level":3,"score":0.4236512780189514},{"id":"https://openalex.org/C123299182","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Hysteresis","level":2,"score":0.42050665616989136},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.4121585786342621},{"id":"https://openalex.org/C120882062","wikidata":"https://www.wikidata.org/wiki/Q28352","display_name":"Permeability (electromagnetism)","level":3,"score":0.41028618812561035},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.3787391185760498},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3775646686553955},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34330734610557556},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23956888914108276},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.234796404838562},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.1309385597705841},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.08012911677360535},{"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/C41625074","wikidata":"https://www.wikidata.org/wiki/Q176088","display_name":"Membrane","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00791-013-0206-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00791-013-0206-3","pdf_url":null,"source":{"id":"https://openalex.org/S55464786","display_name":"Computing and Visualization in Science","issn_l":"1432-9360","issn":["1432-9360","1433-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing and Visualization in Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1507163784","https://openalex.org/W1512610647","https://openalex.org/W1520415266","https://openalex.org/W1977854320","https://openalex.org/W1990957957","https://openalex.org/W2021575994","https://openalex.org/W2031535375","https://openalex.org/W2050148511","https://openalex.org/W2064097204","https://openalex.org/W2077106134","https://openalex.org/W2105831484","https://openalex.org/W2118980223","https://openalex.org/W2120730494","https://openalex.org/W2130969829","https://openalex.org/W2134235010","https://openalex.org/W2142055337","https://openalex.org/W2146179049","https://openalex.org/W2463993679","https://openalex.org/W3044656254","https://openalex.org/W4244700868","https://openalex.org/W4245761966","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2059150570","https://openalex.org/W2399314273","https://openalex.org/W2008108819","https://openalex.org/W3095890955","https://openalex.org/W2560193102","https://openalex.org/W2925705603","https://openalex.org/W1880257192","https://openalex.org/W1987166608","https://openalex.org/W2085314152","https://openalex.org/W4245723156"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-09T07:27:16.801131","created_date":"2025-10-10T00:00:00"}
