{"id":"https://openalex.org/W2552398073","doi":"https://doi.org/10.1109/tgrs.2016.2620482","title":"Through-Casing Hydraulic Fracture Evaluation by Induction Logging I: An Efficient EM Solver for Fracture Detection","display_name":"Through-Casing Hydraulic Fracture Evaluation by Induction Logging I: An Efficient EM Solver for Fracture Detection","publication_year":2016,"publication_date":"2016-11-10","ids":{"openalex":"https://openalex.org/W2552398073","doi":"https://doi.org/10.1109/tgrs.2016.2620482","mag":"2552398073"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2016.2620482","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2016.2620482","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"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 Transactions on Geoscience and Remote Sensing","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/A5011311993","display_name":"Yuan Fang","orcid":"https://orcid.org/0000-0002-3285-5383"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuan Fang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082330048","display_name":"Junwen Dai","orcid":"https://orcid.org/0000-0002-9229-6763"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Junwen Dai","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101819163","display_name":"Zhiru Yu","orcid":"https://orcid.org/0000-0002-0408-3590"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhiru Yu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081795273","display_name":"Jianyang Zhou","orcid":"https://orcid.org/0000-0003-2402-0156"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]},{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Jianyang Zhou","raw_affiliation_strings":["Duke University, Durham, NC, USA","Xiamen University, Xiamen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Xiamen University, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100345153","display_name":"Qing Liu","orcid":"https://orcid.org/0000-0001-5286-4423"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qing Huo Liu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA"],"raw_orcid":"https://orcid.org/0000-0001-5286-4423","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.7585,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.96050592,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"55","issue":"2","first_page":"1179","last_page":"1188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9994000196456909,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9994000196456909,"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/T11609","display_name":"Geophysical Methods and Applications","score":0.9991999864578247,"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/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9987999796867371,"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/solver","display_name":"Solver","score":0.7089929580688477},{"id":"https://openalex.org/keywords/fracture","display_name":"Fracture (geology)","score":0.6578883528709412},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.6352898478507996},{"id":"https://openalex.org/keywords/hydraulic-fracturing","display_name":"Hydraulic fracturing","score":0.6055512428283691},{"id":"https://openalex.org/keywords/casing","display_name":"Casing","score":0.5256556272506714},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.4590955376625061},{"id":"https://openalex.org/keywords/borehole","display_name":"Borehole","score":0.44762086868286133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43550971150398254},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4351658225059509},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4276399314403534},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.42593446373939514},{"id":"https://openalex.org/keywords/petroleum-engineering","display_name":"Petroleum engineering","score":0.24779590964317322},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24207457900047302},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.2073298990726471},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.155477374792099},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.15383929014205933},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1360887587070465},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11375805735588074},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10151547193527222}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7089929580688477},{"id":"https://openalex.org/C43369102","wikidata":"https://www.wikidata.org/wiki/Q2307625","display_name":"Fracture (geology)","level":2,"score":0.6578883528709412},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.6352898478507996},{"id":"https://openalex.org/C2779096232","wikidata":"https://www.wikidata.org/wiki/Q890794","display_name":"Hydraulic fracturing","level":2,"score":0.6055512428283691},{"id":"https://openalex.org/C30399818","wikidata":"https://www.wikidata.org/wiki/Q5048830","display_name":"Casing","level":2,"score":0.5256556272506714},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.4590955376625061},{"id":"https://openalex.org/C150560799","wikidata":"https://www.wikidata.org/wiki/Q502102","display_name":"Borehole","level":2,"score":0.44762086868286133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43550971150398254},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4351658225059509},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4276399314403534},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.42593446373939514},{"id":"https://openalex.org/C78762247","wikidata":"https://www.wikidata.org/wiki/Q1273174","display_name":"Petroleum engineering","level":1,"score":0.24779590964317322},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24207457900047302},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.2073298990726471},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.155477374792099},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.15383929014205933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1360887587070465},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11375805735588074},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10151547193527222},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tgrs.2016.2620482","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2016.2620482","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"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 Transactions on Geoscience and Remote Sensing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320307816","display_name":"Shell","ror":"https://ror.org/00b5m4j81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1515302430","https://openalex.org/W1520664314","https://openalex.org/W1524573041","https://openalex.org/W1564924066","https://openalex.org/W1966989614","https://openalex.org/W1973637087","https://openalex.org/W1982291084","https://openalex.org/W1987207658","https://openalex.org/W1989242241","https://openalex.org/W1993550108","https://openalex.org/W2006861919","https://openalex.org/W2013193658","https://openalex.org/W2015181520","https://openalex.org/W2018446638","https://openalex.org/W2019880844","https://openalex.org/W2026889326","https://openalex.org/W2034961158","https://openalex.org/W2043382708","https://openalex.org/W2062701718","https://openalex.org/W2070401132","https://openalex.org/W2090875757","https://openalex.org/W2106846882","https://openalex.org/W2109622333","https://openalex.org/W2123589135","https://openalex.org/W2141494677","https://openalex.org/W2144651118","https://openalex.org/W2153694490","https://openalex.org/W2155288115","https://openalex.org/W2158960207","https://openalex.org/W2170967261","https://openalex.org/W2172174789","https://openalex.org/W2173104689","https://openalex.org/W2328445717","https://openalex.org/W2487397456","https://openalex.org/W2549295621","https://openalex.org/W2594315115","https://openalex.org/W2858620542","https://openalex.org/W6677093974"],"related_works":["https://openalex.org/W2091880458","https://openalex.org/W2163151421","https://openalex.org/W1484787325","https://openalex.org/W4323308383","https://openalex.org/W2945827115","https://openalex.org/W2955202669","https://openalex.org/W2054461016","https://openalex.org/W2789727506","https://openalex.org/W2329053358","https://openalex.org/W2046625640"],"abstract_inverted_index":{"Hydraulic":[0],"fracturing":[1],"is":[2,17,49,62],"an":[3],"essential":[4],"way":[5],"to":[6,19,65,72,104],"improve":[7],"the":[8,21,35,46,58,76,80,106,136,143,147],"production":[9],"of":[10,51,79,131,142],"unconventional":[11],"shale":[12],"oil":[13],"and":[14,75,92,111,119,160],"gas.":[15],"It":[16],"important":[18],"characterize":[20],"produced":[22],"fractures":[23],"using":[24],"either":[25],"acoustic":[26],"or":[27],"electromagnetic":[28],"(EM)":[29],"methods.":[30],"Conventional":[31],"EM":[32,69],"solvers":[33,70],"in":[34],"low-frequency":[36],"range":[37],"face":[38],"significant":[39],"challenges":[40],"by":[41,154],"such":[42],"multiscale":[43,77],"problems":[44],"where":[45],"fracture":[47,114,150],"width":[48],"orders":[50,130],"magnitude":[52,132],"smaller":[53],"than":[54,135],"its":[55],"diameters.":[56],"Furthermore,":[57],"cased":[59,120],"borehole":[60,121],"environment":[61],"extremely":[63],"difficult":[64],"simulate":[66,105],"with":[67,156],"conventional":[68],"due":[71],"meshing":[73],"difficulties":[74],"nature":[78],"problem.":[81],"In":[82],"this":[83,127],"paper,":[84],"we":[85],"develop":[86],"a":[87],"hybrid":[88],"distorted":[89],"Born":[90],"approximation":[91],"3-D":[93,112],"mixed":[94],"ordered":[95],"stabilized":[96],"biconjugate":[97],"gradient":[98],"fast":[99],"Fourier":[100],"transform":[101],"(DBA-BCGS-FFT)":[102],"method":[103,128,145],"very":[107],"challenging":[108],"2-D,":[109],"2-D-axisymmetric,":[110],"hydraulic":[113],"models":[115],"under":[116],"both":[117],"open":[118],"environments.":[122],"Numerical":[123],"examples":[124],"show":[125],"that":[126],"has":[129],"higher":[133],"efficiency":[134],"finite":[137],"element":[138],"method.":[139],"The":[140],"capabilities":[141],"DBA-BCGS-FFT":[144],"for":[146],"induction":[148],"tool":[149],"mapping":[151],"are":[152],"demonstrated":[153],"comparing":[155],"laboratory":[157],"experimental":[158],"results":[159],"other":[161],"reference":[162],"results.":[163]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
