{"id":"https://openalex.org/W4414898277","doi":"https://doi.org/10.1109/tgrs.2025.3618948","title":"Analytical Solutions of the Elastic Wave Equations for Inclined Layers","display_name":"Analytical Solutions of the Elastic Wave Equations for Inclined Layers","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4414898277","doi":"https://doi.org/10.1109/tgrs.2025.3618948"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2025.3618948","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2025.3618948","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/A5085688044","display_name":"Xiaobo Liu","orcid":"https://orcid.org/0000-0001-5629-7382"},"institutions":[{"id":"https://openalex.org/I3125743391","display_name":"China University of Geosciences (Beijing)","ror":"https://ror.org/04q6c7p66","country_code":"CN","type":"education","lineage":["https://openalex.org/I3125743391"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaobo Liu","raw_affiliation_strings":["School of Ocean Sciences, China University of Geosciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-5629-7382","affiliations":[{"raw_affiliation_string":"School of Ocean Sciences, China University of Geosciences, Beijing, China","institution_ids":["https://openalex.org/I3125743391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077084386","display_name":"Jun Lu","orcid":"https://orcid.org/0000-0001-9027-1637"},"institutions":[{"id":"https://openalex.org/I3125743391","display_name":"China University of Geosciences (Beijing)","ror":"https://ror.org/04q6c7p66","country_code":"CN","type":"education","lineage":["https://openalex.org/I3125743391"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Lu","raw_affiliation_strings":["School of Geophysics and Information Technology, China University of Geosciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-9027-1637","affiliations":[{"raw_affiliation_string":"School of Geophysics and Information Technology, China University of Geosciences, Beijing, China","institution_ids":["https://openalex.org/I3125743391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100662608","display_name":"Mengqi Li","orcid":"https://orcid.org/0000-0002-8083-9142"},"institutions":[{"id":"https://openalex.org/I3125743391","display_name":"China University of Geosciences (Beijing)","ror":"https://ror.org/04q6c7p66","country_code":"CN","type":"education","lineage":["https://openalex.org/I3125743391"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengqi Li","raw_affiliation_strings":["School of Geophysics and Information Technology, China University of Geosciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-8083-9142","affiliations":[{"raw_affiliation_string":"School of Geophysics and Information Technology, China University of Geosciences, Beijing, China","institution_ids":["https://openalex.org/I3125743391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004032177","display_name":"Alexey Stovas","orcid":"https://orcid.org/0000-0002-2294-9626"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]},{"id":"https://openalex.org/I4210130289","display_name":"Applied Petroleum Technology (Norway)","ror":"https://ror.org/03hjz0g77","country_code":"NO","type":"company","lineage":["https://openalex.org/I4210130289"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Alexey Stovas","raw_affiliation_strings":["Department of Petroleum Technology and Applied Geophysics, Norwegian University of Science and Technology, Trondheim, Norway","Department of Petroleum Technology and Applied Geophysics, Norwegian University of Science and Technology, Norway"],"raw_orcid":"https://orcid.org/0000-0002-2294-9626","affiliations":[{"raw_affiliation_string":"Department of Petroleum Technology and Applied Geophysics, Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]},{"raw_affiliation_string":"Department of Petroleum Technology and Applied Geophysics, Norwegian University of Science and Technology, Norway","institution_ids":["https://openalex.org/I4210130289"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27291262,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"63","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9405999779701233,"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"}},"topics":[{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9405999779701233,"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/coordinate-system","display_name":"Coordinate system","score":0.6920999884605408},{"id":"https://openalex.org/keywords/azimuth","display_name":"Azimuth","score":0.6136999726295471},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5185999870300293},{"id":"https://openalex.org/keywords/seismic-wave","display_name":"Seismic wave","score":0.5160999894142151},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5105999708175659},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.484499990940094},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.45649999380111694},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.44839999079704285}],"concepts":[{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.6920999884605408},{"id":"https://openalex.org/C159737794","wikidata":"https://www.wikidata.org/wiki/Q124274","display_name":"Azimuth","level":2,"score":0.6136999726295471},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5185999870300293},{"id":"https://openalex.org/C78542244","wikidata":"https://www.wikidata.org/wiki/Q186167","display_name":"Seismic wave","level":2,"score":0.5160999894142151},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5105999708175659},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.48899999260902405},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.484499990940094},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.45649999380111694},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4499000012874603},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.44839999079704285},{"id":"https://openalex.org/C16895185","wikidata":"https://www.wikidata.org/wiki/Q15101726","display_name":"Perfectly matched layer","level":3,"score":0.44110000133514404},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.4336000084877014},{"id":"https://openalex.org/C201076478","wikidata":"https://www.wikidata.org/wiki/Q211851","display_name":"Cylindrical coordinate system","level":2,"score":0.4065999984741211},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.397599995136261},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3849000036716461},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3589000105857849},{"id":"https://openalex.org/C2985650181","wikidata":"https://www.wikidata.org/wiki/Q1500431","display_name":"Seismic exploration","level":2,"score":0.3416000008583069},{"id":"https://openalex.org/C126990412","wikidata":"https://www.wikidata.org/wiki/Q203218","display_name":"Spherical coordinate system","level":2,"score":0.3197999894618988},{"id":"https://openalex.org/C84174578","wikidata":"https://www.wikidata.org/wiki/Q889796","display_name":"Surface wave","level":2,"score":0.3043000102043152},{"id":"https://openalex.org/C118496448","wikidata":"https://www.wikidata.org/wiki/Q2111620","display_name":"Seismic migration","level":2,"score":0.28060001134872437},{"id":"https://openalex.org/C8058405","wikidata":"https://www.wikidata.org/wiki/Q46255","display_name":"Geophysics","level":1,"score":0.2736999988555908},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.2671999931335449},{"id":"https://openalex.org/C177071327","wikidata":"https://www.wikidata.org/wiki/Q5610921","display_name":"Ground wave propagation","level":3,"score":0.260699987411499},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2574000060558319}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tgrs.2025.3618948","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2025.3618948","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/G6405534777","display_name":null,"funder_award_id":"2024ZD1002905","funder_id":"https://openalex.org/F4320329860","funder_display_name":"National Science and Technology Major Project"}],"funders":[{"id":"https://openalex.org/F4320329860","display_name":"National Science and Technology Major Project","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W2002331102","https://openalex.org/W2021312966","https://openalex.org/W2045869776","https://openalex.org/W2089754656","https://openalex.org/W2129121375","https://openalex.org/W2130144540","https://openalex.org/W2170090767","https://openalex.org/W2801873885","https://openalex.org/W2885633012","https://openalex.org/W2969956391","https://openalex.org/W2999462424","https://openalex.org/W3042604813","https://openalex.org/W3084109611","https://openalex.org/W4207049323","https://openalex.org/W4286498364","https://openalex.org/W4290005347","https://openalex.org/W4386434150","https://openalex.org/W4390123169","https://openalex.org/W4390769411","https://openalex.org/W4394595677","https://openalex.org/W4399426508","https://openalex.org/W4401070577","https://openalex.org/W4401624200","https://openalex.org/W4401767459","https://openalex.org/W4402627418"],"related_works":[],"abstract_inverted_index":{"Analytical":[0],"solutions":[1,12,41,99],"provide":[2],"accurate":[3],"approach":[4],"for":[5,25,42,78],"wavefield":[6],"calculations.":[7],"However,":[8],"conventional":[9],"seismic":[10,29,66,79,104,121,132],"analytical":[11,40,98],"assume":[13],"simplified":[14],"boundary":[15,62,108],"conditions":[16,63,109],"and":[17,64,107,118,123,142],"constant":[18],"layer":[19],"orientations,":[20],"which":[21],"makes":[22],"them":[23],"unsuitable":[24],"accurately":[26],"modeling":[27],"of":[28,47,115],"wave":[30,45,67,105],"propagation":[31],"in":[32,81,87,134],"media":[33],"with":[34],"inclined":[35,48,82,111,135],"layers.":[36],"To":[37],"derive":[38],"the":[39,43,61,72,102],"elastic":[44,65,103],"equations":[46,68,106],"layered":[49],"formations,":[50],"a":[51],"natural":[52,73,88],"coordinate":[53,58,74,89],"system":[54],"is":[55],"established.":[56],"Using":[57],"transformation":[59],"techniques,":[60],"are":[69,85,125],"transformed":[70],"into":[71],"system.":[75,90],"Recursive":[76],"matrices":[77],"wavefields":[80,133],"multi-layered":[83,136],"formations":[84,137],"derived":[86,97],"The":[91,113,127],"verification":[92],"results":[93,129],"confirm":[94],"that":[95,131],"these":[96],"satisfy":[100],"both":[101],"across":[110],"interfaces.":[112],"effects":[114],"dipping":[116],"angles":[117],"azimuths":[119],"on":[120],"displacements":[122],"stresses":[124],"studied.":[126],"numerical":[128],"indicate":[130],"exhibit":[138],"irregular":[139],"spatial":[140],"periodicity":[141],"complex":[143],"interference":[144],"patterns.":[145]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}