{"id":"https://openalex.org/W4391526365","doi":"https://doi.org/10.1137/22m1542076","title":"Mathematical Analysis of a Subsurface Flow Model","display_name":"Mathematical Analysis of a Subsurface Flow Model","publication_year":2024,"publication_date":"2024-09-25","ids":{"openalex":"https://openalex.org/W4391526365","doi":"https://doi.org/10.1137/22m1542076"},"language":"en","primary_location":{"id":"doi:10.1137/22m1542076","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1542076","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-04430923/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019719476","display_name":"Safaa Al Nazer","orcid":null},"institutions":[{"id":"https://openalex.org/I2802487185","display_name":"Universit\u00e9 du littoral c\u00f4te d'opale","ror":"https://ror.org/02gdcg342","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802487185"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Safaa Al Nazer","raw_affiliation_strings":["Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, Laboratoire de Math\u00e9matiques Pures et Appliqu\u00e9es J. Liouville, BP 699, F-62228, Calais, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, Laboratoire de Math\u00e9matiques Pures et Appliqu\u00e9es J. Liouville, BP 699, F-62228, Calais, France","institution_ids":["https://openalex.org/I2802487185"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045434590","display_name":"Christophe Bourel","orcid":null},"institutions":[{"id":"https://openalex.org/I2802487185","display_name":"Universit\u00e9 du littoral c\u00f4te d'opale","ror":"https://ror.org/02gdcg342","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802487185"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Bourel","raw_affiliation_strings":["Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, Laboratoire de Math\u00e9matiques Pures et Appliqu\u00e9es J. Liouville, BP 699, F-62228, Calais, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, Laboratoire de Math\u00e9matiques Pures et Appliqu\u00e9es J. Liouville, BP 699, F-62228, Calais, France","institution_ids":["https://openalex.org/I2802487185"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091613403","display_name":"Carole Rosier","orcid":"https://orcid.org/0000-0002-0175-2090"},"institutions":[{"id":"https://openalex.org/I2802487185","display_name":"Universit\u00e9 du littoral c\u00f4te d'opale","ror":"https://ror.org/02gdcg342","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802487185"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Carole Rosier","raw_affiliation_strings":["Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, Laboratoire de Math\u00e9matiques Pures et Appliqu\u00e9es J. Liouville, BP 699, F-62228, Calais, France"],"raw_orcid":"https://orcid.org/0000-0002-0175-2090","affiliations":[{"raw_affiliation_string":"Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, Laboratoire de Math\u00e9matiques Pures et Appliqu\u00e9es J. Liouville, BP 699, F-62228, Calais, France","institution_ids":["https://openalex.org/I2802487185"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019719476"],"corresponding_institution_ids":["https://openalex.org/I2802487185"],"apc_list":null,"apc_paid":null,"fwci":0.1925,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.43411566,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"84","issue":"5","first_page":"1982","last_page":"1999"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10716","display_name":"Soil and Unsaturated Flow","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T13067","display_name":"Geological Modeling and Analysis","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5085228681564331},{"id":"https://openalex.org/keywords/subsurface-flow","display_name":"Subsurface flow","score":0.41912755370140076},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.39715978503227234},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3791522979736328},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3662961721420288},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.22624027729034424},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1821652352809906},{"id":"https://openalex.org/keywords/groundwater","display_name":"Groundwater","score":0.11408364772796631}],"concepts":[{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5085228681564331},{"id":"https://openalex.org/C100187453","wikidata":"https://www.wikidata.org/wiki/Q7632182","display_name":"Subsurface flow","level":3,"score":0.41912755370140076},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.39715978503227234},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3791522979736328},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3662961721420288},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.22624027729034424},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1821652352809906},{"id":"https://openalex.org/C76177295","wikidata":"https://www.wikidata.org/wiki/Q161598","display_name":"Groundwater","level":2,"score":0.11408364772796631}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1542076","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1542076","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:HAL:hal-04430923v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04430923","pdf_url":"https://hal.science/hal-04430923/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2024","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04430923v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04430923","pdf_url":"https://hal.science/hal-04430923/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2024","raw_type":"Preprints, Working Papers, ..."},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.49000000953674316,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391526365.pdf"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1512127157","https://openalex.org/W1855169650","https://openalex.org/W1967471173","https://openalex.org/W1970948210","https://openalex.org/W1979093699","https://openalex.org/W1982892327","https://openalex.org/W2010289468","https://openalex.org/W2072685235","https://openalex.org/W2075108083","https://openalex.org/W2075485187","https://openalex.org/W2129646332","https://openalex.org/W2160953641","https://openalex.org/W2287708016","https://openalex.org/W2332027858","https://openalex.org/W2563470914","https://openalex.org/W3001474322","https://openalex.org/W4235485079"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2324615561","https://openalex.org/W2086120259","https://openalex.org/W2390279801","https://openalex.org/W2245170124","https://openalex.org/W2076393078","https://openalex.org/W2358668433","https://openalex.org/W3186982001","https://openalex.org/W1984402782"],"abstract_inverted_index":{"The":[0,99],"purpose":[1],"of":[2,9,13,30,40,43,53,76,81,83,93,107,118,134],"this":[3],"article":[4],"is":[5,86,101],"the":[6,17,25,41,50,54,62,77,94,104,116,119,123,127,130],"mathematical":[7],"analysis":[8],"a":[10,35,57,71,89],"new":[11],"class":[12],"models":[14,31],"to":[15,24,121],"describe":[16],"flow":[18,48,60],"in":[19,34,49,61,110,129],"shallow":[20],"aquifers,":[21],"as":[22],"alternatives":[23],"3d-Richards":[26],"model.":[27],"This":[28],"type":[29],"was":[32],"introduced":[33],"previous":[36],"work":[37],"and":[38],"consists":[39],"coupling":[42],"an":[44,74],"almost":[45],"1d":[46],"vertical":[47],"upper":[51],"part":[52],"aquifer":[55],"with":[56,126],"2d":[58],"horizontal":[59],"lower":[63],"part.":[64],"These":[65],"two":[66],"regions":[67],"being":[68],"separated":[69],"by":[70],"time-dependent":[72],"interface,":[73],"unknown":[75],"problem.":[78],"A":[79],"result":[80],"existence":[82],"weak":[84],"solutions":[85],"proved":[87],"for":[88],"very":[90],"general":[91],"form":[92],"hydraulic":[95],"conductivity":[96],"(anisotropic":[97],"case).":[98],"strategy":[100],"based":[102],"on":[103],"classical":[105],"framework":[106],"parabolic":[108],"equations":[109],"non-cylindrical":[111],"domains.":[112],"It":[113],"also":[114],"exploits":[115],"compressibility":[117],"fluid":[120],"overcome":[122],"difficulty":[124],"associated":[125],"degeneracy":[128],"time":[131],"derivative":[132],"term":[133],"Richards":[135],"equation.":[136]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
