{"id":"https://openalex.org/W3210433598","doi":"https://doi.org/10.1109/lgrs.2021.3124335","title":"A Tensorial Archie\u2019s Law for Water Saturation Evaluation in Anisotropic Model","display_name":"A Tensorial Archie\u2019s Law for Water Saturation Evaluation in Anisotropic Model","publication_year":2021,"publication_date":"2021-10-29","ids":{"openalex":"https://openalex.org/W3210433598","doi":"https://doi.org/10.1109/lgrs.2021.3124335","mag":"3210433598"},"language":"en","primary_location":{"id":"doi:10.1109/lgrs.2021.3124335","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lgrs.2021.3124335","pdf_url":null,"source":{"id":"https://openalex.org/S126920919","display_name":"IEEE Geoscience and Remote Sensing Letters","issn_l":"1545-598X","issn":["1545-598X","1558-0571"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Geoscience and Remote Sensing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dspace.imech.ac.cn/handle/311007/88381","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045525540","display_name":"Chen Guo","orcid":"https://orcid.org/0000-0001-7049-4403"},"institutions":[{"id":"https://openalex.org/I25355098","display_name":"Chang'an University","ror":"https://ror.org/05mxya461","country_code":"CN","type":"education","lineage":["https://openalex.org/I25355098"]},{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Chen Guo","raw_affiliation_strings":["School of Earth, Energy and Environmental Science, Stanford University, Stanford, CA, USA","School of Information Engineering, Chang\u2019an University, Xi\u2019an, China","School of Information Engineering, Chang'an University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0001-7049-4403","affiliations":[{"raw_affiliation_string":"School of Earth, Energy and Environmental Science, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"School of Information Engineering, Chang\u2019an University, Xi\u2019an, China","institution_ids":["https://openalex.org/I25355098"]},{"raw_affiliation_string":"School of Information Engineering, Chang'an University, Xi'an, China","institution_ids":["https://openalex.org/I25355098"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101799374","display_name":"Zhenzhen Fan","orcid":"https://orcid.org/0000-0002-7371-7681"},"institutions":[{"id":"https://openalex.org/I25355098","display_name":"Chang'an University","ror":"https://ror.org/05mxya461","country_code":"CN","type":"education","lineage":["https://openalex.org/I25355098"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenzhen Fan","raw_affiliation_strings":["School of Information Engineering, Chang\u2019an University, Xi\u2019an, China","School of Information Engineering, Chang'an University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Chang\u2019an University, Xi\u2019an, China","institution_ids":["https://openalex.org/I25355098"]},{"raw_affiliation_string":"School of Information Engineering, Chang'an University, Xi'an, China","institution_ids":["https://openalex.org/I25355098"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014130479","display_name":"Bowen Ling","orcid":"https://orcid.org/0000-0002-3218-4807"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210157653","display_name":"Institute of Mechanics","ror":"https://ror.org/057jnjd73","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210157653"]},{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Bowen Ling","raw_affiliation_strings":["Institute of Mechanics, Chinese Academy of Sciences, Beijing, China","School of Earth, Energy and Environmental Science, Stanford University, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mechanics, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210157653"]},{"raw_affiliation_string":"School of Earth, Energy and Environmental Science, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113180600","display_name":"Zhifang Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112595","display_name":"Research Institute of Petroleum Exploration and Development","ror":"https://ror.org/02awe6g05","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210112595","https://openalex.org/I98227222"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhifang Yang","raw_affiliation_strings":["PetroChina Research Institute of Petroleum Exploration and Development, CNPC, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"PetroChina Research Institute of Petroleum Exploration and Development, CNPC, Beijing, China","institution_ids":["https://openalex.org/I4210112595"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6059,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.8096736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"19","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10572","display_name":"Geophysical and Geoelectrical Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10572","display_name":"Geophysical and Geoelectrical Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12603","display_name":"NMR spectroscopy and applications","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10399","display_name":"Hydrocarbon exploration and reservoir analysis","score":0.9977999925613403,"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/anisotropy","display_name":"Anisotropy","score":0.7122747898101807},{"id":"https://openalex.org/keywords/electrical-resistivity-and-conductivity","display_name":"Electrical resistivity and conductivity","score":0.631688117980957},{"id":"https://openalex.org/keywords/saturation","display_name":"Saturation (graph theory)","score":0.5697750449180603},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.5074109435081482},{"id":"https://openalex.org/keywords/water-saturation","display_name":"Water saturation","score":0.5019955635070801},{"id":"https://openalex.org/keywords/petrophysics","display_name":"Petrophysics","score":0.4499571621417999},{"id":"https://openalex.org/keywords/predictability","display_name":"Predictability","score":0.44192349910736084},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.42927539348602295},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.41823089122772217},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.3857664167881012},{"id":"https://openalex.org/keywords/mineralogy","display_name":"Mineralogy","score":0.32412010431289673},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2620052695274353},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.21783447265625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16377708315849304},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1636132001876831},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.07421448826789856}],"concepts":[{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.7122747898101807},{"id":"https://openalex.org/C69990965","wikidata":"https://www.wikidata.org/wiki/Q65402698","display_name":"Electrical resistivity and conductivity","level":2,"score":0.631688117980957},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.5697750449180603},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.5074109435081482},{"id":"https://openalex.org/C2992996259","wikidata":"https://www.wikidata.org/wiki/Q373499","display_name":"Water saturation","level":3,"score":0.5019955635070801},{"id":"https://openalex.org/C46293882","wikidata":"https://www.wikidata.org/wiki/Q2080707","display_name":"Petrophysics","level":3,"score":0.4499571621417999},{"id":"https://openalex.org/C197640229","wikidata":"https://www.wikidata.org/wiki/Q2534066","display_name":"Predictability","level":2,"score":0.44192349910736084},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.42927539348602295},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.41823089122772217},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.3857664167881012},{"id":"https://openalex.org/C199289684","wikidata":"https://www.wikidata.org/wiki/Q83353","display_name":"Mineralogy","level":1,"score":0.32412010431289673},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2620052695274353},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.21783447265625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16377708315849304},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1636132001876831},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07421448826789856},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.0},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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":3,"locations":[{"id":"doi:10.1109/lgrs.2021.3124335","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lgrs.2021.3124335","pdf_url":null,"source":{"id":"https://openalex.org/S126920919","display_name":"IEEE Geoscience and Remote Sensing Letters","issn_l":"1545-598X","issn":["1545-598X","1558-0571"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Geoscience and Remote Sensing Letters","raw_type":"journal-article"},{"id":"pmh:oai:dspace.imech.ac.cn:311007/88380","is_oa":false,"landing_page_url":"http://dspace.imech.ac.cn/handle/311007/88380","pdf_url":null,"source":{"id":"https://openalex.org/S4306400463","display_name":"\u4e2d\u56fd\u79d1\u5b66\u9662\u529b\u5b66\u7814\u7a76\u6240","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"\u671f\u520a\u8bba\u6587"},{"id":"pmh:oai:dspace.imech.ac.cn:311007/88382","is_oa":true,"landing_page_url":"http://dspace.imech.ac.cn/handle/311007/88381","pdf_url":null,"source":{"id":"https://openalex.org/S4306400463","display_name":"\u4e2d\u56fd\u79d1\u5b66\u9662\u529b\u5b66\u7814\u7a76\u6240","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"\u671f\u520a\u8bba\u6587"}],"best_oa_location":{"id":"pmh:oai:dspace.imech.ac.cn:311007/88382","is_oa":true,"landing_page_url":"http://dspace.imech.ac.cn/handle/311007/88381","pdf_url":null,"source":{"id":"https://openalex.org/S4306400463","display_name":"\u4e2d\u56fd\u79d1\u5b66\u9662\u529b\u5b66\u7814\u7a76\u6240","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"\u671f\u520a\u8bba\u6587"},"sustainable_development_goals":[{"score":0.7300000190734863,"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation"}],"awards":[{"id":"https://openalex.org/G713374685","display_name":"\u88c2\u7f1d\u9875\u5ca9\u7684\u4e09\u7ef4\u7535\u5404\u5411\u5f02\u6027\u7b49\u6548\u6a21\u578b\u53ca\u672c\u5f81\u88c2\u7f1d\u53cd\u6f14\u65b9\u6cd5\u7814\u7a76","funder_award_id":"41874140","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7380619674","display_name":null,"funder_award_id":"41704107","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W164969953","https://openalex.org/W640354944","https://openalex.org/W1584301859","https://openalex.org/W1585383936","https://openalex.org/W1985813382","https://openalex.org/W2042791487","https://openalex.org/W2058259949","https://openalex.org/W2067341549","https://openalex.org/W2087452412","https://openalex.org/W2103678458","https://openalex.org/W2105325334","https://openalex.org/W2123347956","https://openalex.org/W2124303483","https://openalex.org/W2131111449","https://openalex.org/W2138955368","https://openalex.org/W2138975335","https://openalex.org/W2158725482","https://openalex.org/W2387933466","https://openalex.org/W2423586964","https://openalex.org/W2476256944","https://openalex.org/W2548535835","https://openalex.org/W2725897202","https://openalex.org/W2807094983","https://openalex.org/W2941052933","https://openalex.org/W2951970759","https://openalex.org/W2972053215","https://openalex.org/W3002793389","https://openalex.org/W3086923685","https://openalex.org/W6721284631","https://openalex.org/W6729664054","https://openalex.org/W6987473310"],"related_works":["https://openalex.org/W1990082719","https://openalex.org/W2970833488","https://openalex.org/W2064132443","https://openalex.org/W319249141","https://openalex.org/W2502086910","https://openalex.org/W1966402527","https://openalex.org/W2045521944","https://openalex.org/W2745299267","https://openalex.org/W4379515775","https://openalex.org/W4233199948"],"abstract_inverted_index":{"In":[0,64],"oil":[1],"and":[2,17,26,104,120],"gas":[3],"exploration,":[4],"formation":[5,24,47,89,151],"water":[6,27,115],"(or":[7],"hydrocarbon)":[8],"content":[9],"estimation":[10],"is":[11,58,98,123],"essential":[12],"for":[13,33],"reservoir":[14,34],"evaluation,":[15],"development,":[16],"production.":[18],"Archie\u2019s":[19,42,71,110,144],"law,":[20],"which":[21],"associates":[22],"the":[23,37,40,46,55,61,75,80,101,107,114,118,121,127,131,135,142,147,150,158,162],"resistivity":[25,77,96],"saturation,":[28],"has":[29],"been":[30],"widely":[31],"adopted":[32],"assessment.":[35],"However,":[36],"accuracy":[38],"of":[39,79,86,117,149,157],"scalar-based":[41],"law":[43,72,111,145],"falls":[44],"when":[45],"exhibits":[48],"strong":[49],"heterogeneity":[50],"(e.g.,":[51],"fractured":[52],"shales),":[53],"as":[54],"electrical":[56],"anisotropy":[57,148],"neglected":[59],"in":[60,106],"scalar":[62],"model.":[63],"this":[65],"letter,":[66],"we":[67],"propose":[68],"a":[69],"tensorial":[70,143],"based":[73],"on":[74],"effective":[76],"tensor":[78,97,155],"formation.":[81],"We":[82],"construct":[83],"numerical":[84],"experiments":[85],"idealized":[87],"three-phase":[88],"geometries":[90],"that":[91,141],"contain":[92],"ellipsoidal":[93],"inclusions.":[94],"The":[95,138],"calculated":[99,132],"from":[100,134],"simulation":[102],"results":[103,139],"used":[105],"newly":[108],"proposed":[109],"to":[112],"calculate":[113],"saturation":[116,129],"formation,":[119],"model":[122],"validated":[124],"by":[125,152],"comparing":[126],"predicted":[128],"with":[130],"value":[133],"known":[136],"geometries.":[137],"show":[140],"captures":[146],"including":[153],"all":[154],"elements":[156],"resistivity,":[159],"thus":[160],"improving":[161],"predictability.":[163]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}