{"id":"https://openalex.org/W2804460754","doi":"https://doi.org/10.1007/s11242-018-1171-6","title":"Flow in Fractured Porous Media: A Review of Conceptual Models and Discretization Approaches","display_name":"Flow in Fractured Porous Media: A Review of Conceptual Models and Discretization Approaches","publication_year":2018,"publication_date":"2018-10-19","ids":{"openalex":"https://openalex.org/W2804460754","doi":"https://doi.org/10.1007/s11242-018-1171-6","mag":"2804460754"},"language":"en","primary_location":{"id":"doi:10.1007/s11242-018-1171-6","doi":"https://doi.org/10.1007/s11242-018-1171-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11242-018-1171-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11242-018-1171-6.pdf","source":{"id":"https://openalex.org/S183886180","display_name":"Transport in Porous Media","issn_l":"0169-3913","issn":["0169-3913","1573-1634"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-2","poland-70","russia-white-list-1"],"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":"Transport in Porous Media","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11242-018-1171-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023075206","display_name":"Inga Berre","orcid":"https://orcid.org/0000-0002-0212-7959","observed_orcids":["https://orcid.org/0000-0002-0212-7959"]},"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":true,"raw_author_name":"Inga Berre","raw_affiliation_strings":["Christian Michelsen Research AS, Bergen, Norway","Department of Mathematics, University of Bergen, Bergen, Norway"],"raw_orcid":"https://orcid.org/0000-0002-0212-7959","affiliations":[{"raw_affiliation_string":"Christian Michelsen Research AS, Bergen, Norway","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037664666","display_name":"Florian Doster","orcid":"https://orcid.org/0000-0001-7460-573X","observed_orcids":["https://orcid.org/0000-0001-7460-573X"]},"institutions":[{"id":"https://openalex.org/I32062511","display_name":"Heriot-Watt University","ror":"https://ror.org/04mghma93","country_code":"GB","type":"education","lineage":["https://openalex.org/I32062511"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Florian Doster","raw_affiliation_strings":["Institute of Petroleum Engineering, Heriot-Watt University, Edinburgh, UK"],"raw_orcid":"https://orcid.org/0000-0001-7460-573X","affiliations":[{"raw_affiliation_string":"Institute of Petroleum Engineering, Heriot-Watt University, Edinburgh, UK","institution_ids":["https://openalex.org/I32062511"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016158002","display_name":"Eirik Keilegavlen","orcid":"https://orcid.org/0000-0002-0333-9507","observed_orcids":["https://orcid.org/0000-0002-0333-9507"]},"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":"Eirik Keilegavlen","raw_affiliation_strings":["Department of Mathematics, University of Bergen, Bergen, Norway"],"raw_orcid":"https://orcid.org/0000-0002-0333-9507","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023075206"],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":{"value":3790,"currency":"USD","value_usd":3790},"apc_paid":{"value":3790,"currency":"USD","value_usd":3790},"fwci":35.3327,"has_fulltext":true,"cited_by_count":530,"citation_normalized_percentile":{"value":0.99972779,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"130","issue":"1","first_page":"215","last_page":"236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.4828999936580658,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.4828999936580658,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.44209998846054077,"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/T12063","display_name":"Heat and Mass Transfer in Porous Media","score":0.032499998807907104,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fractured-porous-media","display_name":"fractured porous media","score":0.8930000066757202},{"id":"https://openalex.org/keywords/conceptual-model","display_name":"conceptual model","score":0.7720000147819519},{"id":"https://openalex.org/keywords/multiscale-modeling","display_name":"multiscale modeling","score":0.6660000085830688},{"id":"https://openalex.org/keywords/averaging","display_name":"averaging","score":0.4269999861717224},{"id":"https://openalex.org/keywords/subsurface-processes","display_name":"subsurface processes","score":0.6299999952316284},{"id":"https://openalex.org/keywords/transportation","display_name":"transportation","score":0.4650000035762787},{"id":"https://openalex.org/keywords/multiphase-flow","display_name":"multiphase flow","score":0.9620000123977661},{"id":"https://openalex.org/keywords/fluid-solid-interaction","display_name":"fluid-solid coupling","score":0.9300000071525574}],"concepts":[{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.8048975467681885},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7472205758094788},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.651401162147522},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.6282309889793396},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6101579070091248},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5436290502548218},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.462560772895813},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.45330509543418884},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.4475819766521454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41417834162712097},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.3650226593017578},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.3077097535133362},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24228689074516296},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16898173093795776},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08101633191108704},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s11242-018-1171-6","doi":"https://doi.org/10.1007/s11242-018-1171-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11242-018-1171-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11242-018-1171-6.pdf","source":{"id":"https://openalex.org/S183886180","display_name":"Transport in Porous Media","issn_l":"0169-3913","issn":["0169-3913","1573-1634"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-2","poland-70","russia-white-list-1"],"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":"Transport in Porous Media","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1805.05701","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.05701","pdf_url":"https://arxiv.org/pdf/1805.05701","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2804460754","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1805.05701.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:bora.uib.no:1956/21538","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/1956/21538","pdf_url":null,"source":{"id":"https://openalex.org/S7407064446","display_name":"NORA - Norwegian Open Research Archives","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Transport in Porous Media","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1805.05701","doi":"https://doi.org/10.48550/arxiv.1805.05701","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.05701","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s11242-018-1171-6","doi":"https://doi.org/10.1007/s11242-018-1171-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11242-018-1171-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11242-018-1171-6.pdf","source":{"id":"https://openalex.org/S183886180","display_name":"Transport in Porous Media","issn_l":"0169-3913","issn":["0169-3913","1573-1634"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-2","poland-70","russia-white-list-1"],"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":"Transport in Porous Media","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1674407527","display_name":null,"funder_award_id":"267908","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G6763030320","display_name":null,"funder_award_id":"250223","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G6990089276","display_name":null,"funder_award_id":"267908/E20","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G8272172508","display_name":null,"funder_award_id":"244129","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"}],"funders":[{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2804460754.pdf","grobid_xml":"https://content.openalex.org/works/W2804460754.grobid-xml"},"referenced_works_count":105,"referenced_works":["https://openalex.org/W117356646","https://openalex.org/W237401681","https://openalex.org/W630473446","https://openalex.org/W1580090917","https://openalex.org/W1617816035","https://openalex.org/W1622910871","https://openalex.org/W1832889940","https://openalex.org/W1964705086","https://openalex.org/W1969416491","https://openalex.org/W1972892940","https://openalex.org/W1978305759","https://openalex.org/W1978972363","https://openalex.org/W1981047834","https://openalex.org/W1982964755","https://openalex.org/W1983067651","https://openalex.org/W1989093406","https://openalex.org/W1989730926","https://openalex.org/W1991783310","https://openalex.org/W1997174216","https://openalex.org/W2001583131","https://openalex.org/W2006521985","https://openalex.org/W2008981917","https://openalex.org/W2009253206","https://openalex.org/W2012474102","https://openalex.org/W2017048267","https://openalex.org/W2024335963","https://openalex.org/W2031102999","https://openalex.org/W2041780885","https://openalex.org/W2045229670","https://openalex.org/W2048370221","https://openalex.org/W2049435842","https://openalex.org/W2050148511","https://openalex.org/W2051875053","https://openalex.org/W2054005367","https://openalex.org/W2057807154","https://openalex.org/W2060084268","https://openalex.org/W2061266340","https://openalex.org/W2062684873","https://openalex.org/W2062946869","https://openalex.org/W2066420657","https://openalex.org/W2069062027","https://openalex.org/W2070964413","https://openalex.org/W2071807072","https://openalex.org/W2077106134","https://openalex.org/W2078843866","https://openalex.org/W2082503602","https://openalex.org/W2083501255","https://openalex.org/W2083501502","https://openalex.org/W2083875017","https://openalex.org/W2087442327","https://openalex.org/W2090392691","https://openalex.org/W2093948150","https://openalex.org/W2094293004","https://openalex.org/W2095404433","https://openalex.org/W2109991971","https://openalex.org/W2111848695","https://openalex.org/W2112311198","https://openalex.org/W2116495447","https://openalex.org/W2117676671","https://openalex.org/W2120324362","https://openalex.org/W2120548916","https://openalex.org/W2126979631","https://openalex.org/W2129412583","https://openalex.org/W2130527887","https://openalex.org/W2131343962","https://openalex.org/W2136750680","https://openalex.org/W2145062249","https://openalex.org/W2147874172","https://openalex.org/W2149880603","https://openalex.org/W2150031561","https://openalex.org/W2159094700","https://openalex.org/W2170329098","https://openalex.org/W2173097816","https://openalex.org/W2184349688","https://openalex.org/W2188276974","https://openalex.org/W2265749247","https://openalex.org/W2274050252","https://openalex.org/W2328674896","https://openalex.org/W2472000623","https://openalex.org/W2487694981","https://openalex.org/W2488846664","https://openalex.org/W2489065796","https://openalex.org/W2504838254","https://openalex.org/W2510192254","https://openalex.org/W2512102494","https://openalex.org/W2528656778","https://openalex.org/W2549516606","https://openalex.org/W2571404626","https://openalex.org/W2578146255","https://openalex.org/W2604334956","https://openalex.org/W2613852982","https://openalex.org/W2734812188","https://openalex.org/W2757143997","https://openalex.org/W2769580612","https://openalex.org/W2771688124","https://openalex.org/W2786028739","https://openalex.org/W2792000907","https://openalex.org/W2792794485","https://openalex.org/W2804149125","https://openalex.org/W2963157298","https://openalex.org/W4211097011","https://openalex.org/W4236222228","https://openalex.org/W4246382791","https://openalex.org/W4247018207","https://openalex.org/W4248846224"],"related_works":["https://openalex.org/W2479803659","https://openalex.org/W2287972849","https://openalex.org/W7011527436","https://openalex.org/W2150286250","https://openalex.org/W4392394404","https://openalex.org/W2909393297","https://openalex.org/W4381954991","https://openalex.org/W7097743916","https://openalex.org/W1622910871","https://openalex.org/W2733615599"],"abstract_inverted_index":{"The":[0],"last":[1,67],"decade":[2],"has":[3],"seen":[4],"a":[5],"strong":[6],"increase":[7],"of":[8,59],"research":[9,126],"into":[10],"flows":[11],"in":[12,23,90],"fractured":[13,91],"porous":[14,92],"media,":[15,93],"mainly":[16],"related":[17,128],"to":[18,38,129],"subsurface":[19],"processes":[20],"but":[21],"also":[22,71,137],"materials":[24],"science":[25],"and":[26,56,70,85,118,121,125,133],"biological":[27],"applications,":[28],"as":[29,42],"connected":[30],"fractures":[31,102],"can":[32],"totally":[33],"dominate":[34],"flow":[35,60,89,105,132],"patterns.":[36],"Due":[37],"the":[39,66,98,101,110,113],"fractures\u2019":[40],"characteristics":[41],"approximately":[43],"planar":[44],"discontinuities":[45],"with":[46,94],"an":[47,95],"extreme":[48],"size-to-width":[49],"ratio,":[50],"they":[51],"challenge":[52],"standard":[53],"macroscale":[54],"mathematical":[55,119],"numerical":[57],"modeling":[58,74,120],"based":[61],"on":[62,97,104],"averaging.":[63],"Thus,":[64],"over":[65],"decades,":[68],"various,":[69],"fundamentally":[72],"different,":[73],"approaches":[75,87],"have":[76,103],"been":[77],"developed.":[78],"This":[79],"paper":[80,111],"reviews":[81],"common":[82],"conceptual":[83],"models":[84],"discretization":[86],"for":[88],"emphasis":[96],"dominating":[99],"effects":[100],"processes.":[106],"In":[107],"this":[108],"context,":[109],"discusses":[112],"tight":[114],"connection":[115],"between":[116],"physical":[117],"simulation":[122],"approaches.":[123],"Extensions":[124],"challenges":[127],"transport,":[130],"multi-phase":[131],"fluid-solid":[134],"interaction":[135],"are":[136],"commented":[138],"on.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":79},{"year":2025,"cited_by_count":73},{"year":2024,"cited_by_count":83},{"year":2023,"cited_by_count":62},{"year":2022,"cited_by_count":80},{"year":2021,"cited_by_count":88},{"year":2020,"cited_by_count":48},{"year":2019,"cited_by_count":17}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2018-06-01T00:00:00"}