{"id":"https://openalex.org/W3203749090","doi":"https://doi.org/10.1109/tgrs.2021.3092714","title":"An Unsplit CFS-PML Scheme for the Second-Order Wave Equation With Its Application in Fractional Viscoacoustic Simulation","display_name":"An Unsplit CFS-PML Scheme for the Second-Order Wave Equation With Its Application in Fractional Viscoacoustic Simulation","publication_year":2021,"publication_date":"2021-07-13","ids":{"openalex":"https://openalex.org/W3203749090","doi":"https://doi.org/10.1109/tgrs.2021.3092714","mag":"3203749090"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2021.3092714","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2021.3092714","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/A5037378437","display_name":"Yufeng Wang","orcid":"https://orcid.org/0000-0001-7929-1645"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]},{"id":"https://openalex.org/I4210105990","display_name":"Institute of Geodesy and Geophysics","ror":"https://ror.org/01gkn6j11","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210105990"]},{"id":"https://openalex.org/I4391767648","display_name":"State Key Laboratory of Geodesy and Earth's Dynamics","ror":"https://ror.org/051yfbn24","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4391767648","https://openalex.org/I4405261497"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yufeng Wang","raw_affiliation_strings":["Institute of Geophysics and Geomatics, China University of Geosciences (Wuhan), Wuhan, China","State Key Laboratory of Geodesy and Earth\u2019s Dynamics, Wuhan, China","State Key Laboratory of Geodesy and Earth's Dynamics, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Institute of Geophysics and Geomatics, China University of Geosciences (Wuhan), Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]},{"raw_affiliation_string":"State Key Laboratory of Geodesy and Earth\u2019s Dynamics, Wuhan, China","institution_ids":["https://openalex.org/I4210105990","https://openalex.org/I4391767648"]},{"raw_affiliation_string":"State Key Laboratory of Geodesy and Earth's Dynamics, Wuhan, China","institution_ids":["https://openalex.org/I4210105990","https://openalex.org/I4391767648"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018916500","display_name":"Min Bai","orcid":null},"institutions":[{"id":"https://openalex.org/I177739611","display_name":"Yangtze University","ror":"https://ror.org/05bhmhz54","country_code":"CN","type":"education","lineage":["https://openalex.org/I177739611"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Bai","raw_affiliation_strings":["Key Laboratory of Exploration Technologies for Oil and Gas Resources, Ministry of Education, Yangtze University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Exploration Technologies for Oil and Gas Resources, Ministry of Education, Yangtze University, Wuhan, China","institution_ids":["https://openalex.org/I177739611"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086250883","display_name":"Liuqing Yang","orcid":"https://orcid.org/0000-0002-4064-501X"},"institutions":[{"id":"https://openalex.org/I204553293","display_name":"China University of Petroleum, Beijing","ror":"https://ror.org/041qf4r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I204553293"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liuqing Yang","raw_affiliation_strings":["College of Geophysics, China University of Petroleum at Beijing, Beijing, China"],"affiliations":[{"raw_affiliation_string":"College of Geophysics, China University of Petroleum at Beijing, Beijing, China","institution_ids":["https://openalex.org/I204553293"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076282124","display_name":"Xuebin Zhao","orcid":"https://orcid.org/0000-0003-0984-1490"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Xuebin Zhao","raw_affiliation_strings":["School of Geosciences, The University of Edinburgh, Edinburgh, U.K"],"affiliations":[{"raw_affiliation_string":"School of Geosciences, The University of Edinburgh, Edinburgh, U.K","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059397010","display_name":"Omar M. Saad","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112040","display_name":"National Research Institute of Astronomy and Geophysics","ror":"https://ror.org/01cb2rv04","country_code":"EG","type":"facility","lineage":["https://openalex.org/I4210112040"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN","EG"],"is_corresponding":false,"raw_author_name":"Omar M. Saad","raw_affiliation_strings":["National Research Institute of Astronomy and Geophysics (NRIAG), Helwan, Egypt","School of Earth Sciences, Zhejiang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"National Research Institute of Astronomy and Geophysics (NRIAG), Helwan, Egypt","institution_ids":["https://openalex.org/I4210112040"]},{"raw_affiliation_string":"School of Earth Sciences, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019972279","display_name":"Yangkang Chen","orcid":"https://orcid.org/0000-0001-6429-4261"},"institutions":[{"id":"https://openalex.org/I1288783943","display_name":"Bureau of Economic Analysis","ror":"https://ror.org/03b17a012","country_code":"US","type":"government","lineage":["https://openalex.org/I1288783943","https://openalex.org/I1343035065"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yangkang Chen","raw_affiliation_strings":["Bureau of Economic Geology, John A. and Katherine G. Jackson School of Geosciences, The University of Texas at Austin, Austin, TX, USA"],"affiliations":[{"raw_affiliation_string":"Bureau of Economic Geology, John A. and Katherine G. Jackson School of Geosciences, The University of Texas at Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I1288783943","https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5037378437"],"corresponding_institution_ids":["https://openalex.org/I3124059619","https://openalex.org/I4210105990","https://openalex.org/I4391767648"],"apc_list":null,"apc_paid":null,"fwci":0.9108,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.74271365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"60","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.6909180283546448},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.6702582836151123},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6042296886444092},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.588502824306488},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5332649946212769},{"id":"https://openalex.org/keywords/perfectly-matched-layer","display_name":"Perfectly matched layer","score":0.5130852460861206},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4245683252811432},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36561286449432373},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16951191425323486}],"concepts":[{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.6909180283546448},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.6702582836151123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6042296886444092},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.588502824306488},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5332649946212769},{"id":"https://openalex.org/C16895185","wikidata":"https://www.wikidata.org/wiki/Q15101726","display_name":"Perfectly matched layer","level":3,"score":0.5130852460861206},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4245683252811432},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36561286449432373},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16951191425323486},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tgrs.2021.3092714","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2021.3092714","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":[{"id":"https://openalex.org/G3620008080","display_name":null,"funder_award_id":"162301202635","funder_id":"https://openalex.org/F4320328899","funder_display_name":"China University of Geosciences"},{"id":"https://openalex.org/G4274504533","display_name":null,"funder_award_id":"KPI2021-01","funder_id":"https://openalex.org/F4320324773","funder_display_name":"Yangtze University"},{"id":"https://openalex.org/G6406390024","display_name":null,"funder_award_id":"SKLGED2021-5-6","funder_id":"https://openalex.org/F4320335678","funder_display_name":"State Key Laboratory of Geodesy and Earth's Dynamics"}],"funders":[{"id":"https://openalex.org/F4320324773","display_name":"Yangtze University","ror":"https://ror.org/05bhmhz54"},{"id":"https://openalex.org/F4320328899","display_name":"China University of Geosciences","ror":null},{"id":"https://openalex.org/F4320335678","display_name":"State Key Laboratory of Geodesy and Earth's Dynamics","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W1975139914","https://openalex.org/W1978791088","https://openalex.org/W1979417083","https://openalex.org/W1986414589","https://openalex.org/W1994751539","https://openalex.org/W2003017040","https://openalex.org/W2007212379","https://openalex.org/W2012029480","https://openalex.org/W2015906912","https://openalex.org/W2019840928","https://openalex.org/W2026947212","https://openalex.org/W2028402538","https://openalex.org/W2031027147","https://openalex.org/W2033167592","https://openalex.org/W2034097561","https://openalex.org/W2034171425","https://openalex.org/W2049463568","https://openalex.org/W2057557906","https://openalex.org/W2059496156","https://openalex.org/W2060741622","https://openalex.org/W2064660626","https://openalex.org/W2070547279","https://openalex.org/W2072774369","https://openalex.org/W2073632069","https://openalex.org/W2077673417","https://openalex.org/W2091464317","https://openalex.org/W2097664123","https://openalex.org/W2099891394","https://openalex.org/W2104498626","https://openalex.org/W2105071350","https://openalex.org/W2107317680","https://openalex.org/W2109206815","https://openalex.org/W2115651029","https://openalex.org/W2116660099","https://openalex.org/W2120016012","https://openalex.org/W2123930157","https://openalex.org/W2134837756","https://openalex.org/W2135522010","https://openalex.org/W2138332664","https://openalex.org/W2138487264","https://openalex.org/W2138531082","https://openalex.org/W2148095980","https://openalex.org/W2149484971","https://openalex.org/W2150067498","https://openalex.org/W2151437212","https://openalex.org/W2151901634","https://openalex.org/W2153774829","https://openalex.org/W2156498488","https://openalex.org/W2164405805","https://openalex.org/W2166303440","https://openalex.org/W2285134756","https://openalex.org/W2330456793","https://openalex.org/W2518382909","https://openalex.org/W2911792739","https://openalex.org/W2969834310","https://openalex.org/W2970170095","https://openalex.org/W3042604813","https://openalex.org/W3202528256","https://openalex.org/W4241117599"],"related_works":["https://openalex.org/W2479815380","https://openalex.org/W2145453501","https://openalex.org/W2184067990","https://openalex.org/W2368008598","https://openalex.org/W2187730484","https://openalex.org/W2026105776","https://openalex.org/W2105071350","https://openalex.org/W2052698720","https://openalex.org/W2163239203","https://openalex.org/W4378229712"],"abstract_inverted_index":{"The":[0],"unsplit":[1,41,104],"complex":[2,137],"frequency-shifted":[3],"perfectly":[4],"matched":[5],"layer":[6],"(CFS-PML)":[7],"has":[8],"been":[9],"widely":[10],"used":[11],"in":[12,17,33],"the":[13,25,40,44,57,62,65,79,91,108,136,148,161,199,203],"first-order":[14,133],"wave":[15,26,46,85,110],"equation":[16,27,47,86,111],"velocity":[18],"and":[19,52,89,112,126,193,201],"stress":[20],"while":[21],"rarely":[22],"formulated":[23],"for":[24,43,107],"recast":[28],"as":[29,72,74,143],"a":[30,132,180],"second-order":[31,45,109],"system":[32],"displacement.":[34],"Among":[35],"different":[36],"variants":[37],"of":[38,64,68,147,168,173,205],"PML,":[39,59],"CFS-PML":[42,105],"enjoys":[48],"better":[49],"absorbing":[50,202],"performance":[51,204],"numerical":[53],"stability,":[54],"compared":[55],"to":[56,61,101,116,128],"traditional":[58],"due":[60],"presence":[63],"general":[66],"form":[67],"CFS":[69],"stretching":[70,157,165],"factors,":[71],"well":[73],"higher":[75],"computational":[76],"efficiency":[77],"over":[78],"split":[80],"PMLs":[81],"since":[82],"it":[83],"avoids":[84],"order":[87],"reduction":[88],"splitting":[90],"state":[92],"variables":[93],"into":[94,131],"multiple":[95],"directional":[96],"components.":[97],"This":[98,164],"study":[99],"aims":[100],"develop":[102],"an":[103,144,154],"scheme":[106],"devote":[113],"specific":[114],"attention":[115],"fractional":[117,121],"viscoacoustic":[118],"simulation":[119],"where":[120],"time":[122],"derivatives":[123],"are":[124],"involved":[125],"hard":[127],"be":[129,176],"reformulated":[130],"form.":[134],"In":[135],"space,":[138],"PML":[139],"is":[140],"typically":[141],"regarded":[142],"analytical":[145],"continuation":[146],"real":[149],"coordinates;":[150],"thus,":[151],"we":[152],"define":[153],"explicit":[155],"coordinate":[156],"operator":[158,166],"acting":[159],"on":[160,187],"Laplacian":[162],"operator.":[163],"consists":[167],"several":[169],"convolution":[170,182],"terms;":[171],"each":[172],"them":[174],"can":[175],"efficiently":[177],"resolved":[178],"by":[179],"recursive":[181],"updating":[183],"strategy.":[184],"Viscoacoustic":[185],"simulations":[186],"homogeneous":[188],"Pierre":[189],"Shale,":[190],"Marmousi":[191],"model,":[192],"3-D":[194],"SEG/EAGE":[195],"overthrust":[196],"model":[197],"verify":[198],"feasibility":[200],"our":[206],"proposed":[207],"scheme.":[208]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}