{"id":"https://openalex.org/W4404997316","doi":"https://doi.org/10.1007/s00366-024-02089-6","title":"Estimation of uncertainties in the density driven flow in fractured porous media using MLMC","display_name":"Estimation of uncertainties in the density driven flow in fractured porous media using MLMC","publication_year":2024,"publication_date":"2024-12-04","ids":{"openalex":"https://openalex.org/W4404997316","doi":"https://doi.org/10.1007/s00366-024-02089-6"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-024-02089-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-024-02089-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-024-02089-6.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00366-024-02089-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077413030","display_name":"Dmitry Logashenko","orcid":"https://orcid.org/0000-0001-9384-5296"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Dmitry Logashenko","raw_affiliation_strings":["CSE Department, KAUST, Thuwal-Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CSE Department, KAUST, Thuwal-Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087474564","display_name":"Alexander Litvinenko","orcid":"https://orcid.org/0000-0001-5427-3598"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Alexander Litvinenko","raw_affiliation_strings":["Department of Mathematics, RWTH Aachen, Aachen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, RWTH Aachen, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004939553","display_name":"Ra\u00fal Tempone","orcid":"https://orcid.org/0000-0003-1967-4446"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]},{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE","SA"],"is_corresponding":false,"raw_author_name":"Raul Tempone","raw_affiliation_strings":["CSE Department, KAUST, Thuwal-Jeddah, Saudi Arabia","Department of Mathematics, RWTH Aachen, Aachen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CSE Department, KAUST, Thuwal-Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"Department of Mathematics, RWTH Aachen, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036489735","display_name":"Gabriel Wittum","orcid":"https://orcid.org/0000-0002-6993-5520"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Gabriel Wittum","raw_affiliation_strings":["CSE Department, KAUST, Thuwal-Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CSE Department, KAUST, Thuwal-Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087474564"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.6092,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73261856,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"41","issue":"6","first_page":"4109","last_page":"4123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.9923999905586243,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9652000069618225,"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/monte-carlo-method","display_name":"Monte Carlo method","score":0.7009759545326233},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.552696943283081},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.4749443829059601},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.4433850646018982},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4395866394042969},{"id":"https://openalex.org/keywords/permeability","display_name":"Permeability (electromagnetism)","score":0.4252723455429077},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40165823698043823},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.37656357884407043},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3392448425292969},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.29043933749198914},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.2554902136325836},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15598610043525696},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15168389678001404},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14339032769203186},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.09139186143875122}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.7009759545326233},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.552696943283081},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.4749443829059601},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.4433850646018982},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4395866394042969},{"id":"https://openalex.org/C120882062","wikidata":"https://www.wikidata.org/wiki/Q28352","display_name":"Permeability (electromagnetism)","level":3,"score":0.4252723455429077},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40165823698043823},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.37656357884407043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3392448425292969},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.29043933749198914},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.2554902136325836},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15598610043525696},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15168389678001404},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14339032769203186},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09139186143875122},{"id":"https://openalex.org/C41625074","wikidata":"https://www.wikidata.org/wiki/Q176088","display_name":"Membrane","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00366-024-02089-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-024-02089-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-024-02089-6.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00366-024-02089-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00366-024-02089-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00366-024-02089-6.pdf","source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6","score":0.8500000238418579}],"awards":[],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320322320","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38"},{"id":"https://openalex.org/F4320324232","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404997316.pdf","grobid_xml":"https://content.openalex.org/works/W4404997316.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W105300439","https://openalex.org/W184844038","https://openalex.org/W1501183190","https://openalex.org/W1575701986","https://openalex.org/W1955320167","https://openalex.org/W1978729039","https://openalex.org/W1985548633","https://openalex.org/W1991785777","https://openalex.org/W2014945091","https://openalex.org/W2019511110","https://openalex.org/W2022090406","https://openalex.org/W2023130238","https://openalex.org/W2024771618","https://openalex.org/W2025158168","https://openalex.org/W2032909949","https://openalex.org/W2036413370","https://openalex.org/W2037053393","https://openalex.org/W2049774453","https://openalex.org/W2057274687","https://openalex.org/W2065037713","https://openalex.org/W2079884585","https://openalex.org/W2082205240","https://openalex.org/W2083415217","https://openalex.org/W2090458015","https://openalex.org/W2091977478","https://openalex.org/W2094168343","https://openalex.org/W2094293004","https://openalex.org/W2098233482","https://openalex.org/W2106605796","https://openalex.org/W2125085333","https://openalex.org/W2125242177","https://openalex.org/W2126036157","https://openalex.org/W2128811293","https://openalex.org/W2135459060","https://openalex.org/W2139999045","https://openalex.org/W2146765045","https://openalex.org/W2147874172","https://openalex.org/W2163715525","https://openalex.org/W2494509035","https://openalex.org/W2578146255","https://openalex.org/W2889338203","https://openalex.org/W2920434758","https://openalex.org/W2943083705","https://openalex.org/W3005601165","https://openalex.org/W3014645544","https://openalex.org/W4200042917","https://openalex.org/W4230055019","https://openalex.org/W4391788293"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2793786119","https://openalex.org/W1507702947","https://openalex.org/W2022062253"],"abstract_inverted_index":{"Abstract":[0],"We":[1,139],"use":[2],"the":[3,27,30,33,39,45,75,82,88,99,121,127,142,155,188],"Multi":[4],"Level":[5],"Monte":[6,161],"Carlo":[7,162],"method":[8,144],"to":[9,149,159,194],"estimate":[10],"uncertainties":[11,124],"in":[12,135,192],"a":[13,20,110,117,132],"Henry-like":[14],"salt":[15,130],"water":[16,136],"intrusion":[17],"problem":[18],"with":[19,116],"fracture.":[21,122],"The":[22,183],"flow":[23],"is":[24,48,52,64,107],"induced":[25],"by":[26,164,172],"variation":[28],"of":[29,32,42,90,95,101,112,129],"density":[31],"fluid":[34],"phase,":[35],"which":[36],"depends":[37],"on":[38],"mass":[40,102],"fraction":[41,103],"salt.":[43],"While":[44],"fracture\u2019s":[46],"location":[47],"fixed,":[49],"its":[50],"aperture":[51],"uncertain.":[53],"In":[54],"our":[55],"setting,":[56],"porosity":[57,76],"and":[58,62,77,85,104,168,171,179],"permeability":[59,78],"vary":[60],"spatially":[61],"recharge":[63],"time-dependent.":[65],"So":[66],"we":[67],"introduce":[68],"three":[69],"random":[70],"variables,":[71],"one":[72,80,86],"controlling":[73],"both":[74],"fields,":[79],"for":[81,87],"fracture":[83],"width":[84],"intensity":[89],"recharge.":[91],"For":[92],"each":[93],"realization":[94],"these":[96],"uncertain":[97],"parameters,":[98],"evolution":[100],"pressure":[105],"fields":[106],"modeled":[108],"using":[109,187],"system":[111],"non-linear,":[113],"time-dependent":[114],"PDEs":[115],"solution":[118],"discontinuity":[119],"at":[120],"These":[123],"propagate,":[125],"affecting":[126],"distribution":[128],"concentration,":[131],"key":[133],"factor":[134],"resource":[137],"quality.":[138],"show":[140],"that":[141],"MLMC":[143],"can":[145],"be":[146],"successfully":[147],"applied":[148],"this":[150],"problem.":[151],"It":[152],"significantly":[153],"reduces":[154],"computational":[156],"cost":[157],"compared":[158],"classical":[160],"methods":[163],"effectively":[165],"balancing":[166],"discretisation":[167],"statistical":[169],"errors,":[170],"evaluating":[173],"multiple":[174],"scenarios":[175],"over":[176],"different":[177],"spatial":[178],"temporal":[180],"mesh":[181],"levels.":[182],"deterministic":[184],"PDE":[185],"solver,":[186],"ug4":[189],"library,":[190],"runs":[191],"parallel":[193],"compute":[195],"all":[196],"stochastic":[197],"scenarios.":[198]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
