{"id":"https://openalex.org/W4313472501","doi":"https://doi.org/10.3390/rs15010230","title":"Application of the Fourier Series Expansion Method for the Inversion of Gravity Gradients using Gravity Anomalies","display_name":"Application of the Fourier Series Expansion Method for the Inversion of Gravity Gradients using Gravity Anomalies","publication_year":2022,"publication_date":"2022-12-31","ids":{"openalex":"https://openalex.org/W4313472501","doi":"https://doi.org/10.3390/rs15010230"},"language":"en","primary_location":{"id":"doi:10.3390/rs15010230","is_oa":true,"landing_page_url":"https://doi.org/10.3390/rs15010230","pdf_url":"https://www.mdpi.com/2072-4292/15/1/230/pdf?version=1672491294","source":{"id":"https://openalex.org/S43295729","display_name":"Remote Sensing","issn_l":"2072-4292","issn":["2072-4292"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Remote Sensing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2072-4292/15/1/230/pdf?version=1672491294","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100378236","display_name":"Bei Liu","orcid":"https://orcid.org/0000-0002-7229-8788"},"institutions":[{"id":"https://openalex.org/I2800710378","display_name":"Naval University of Engineering","ror":"https://ror.org/056vyez31","country_code":"CN","type":"education","lineage":["https://openalex.org/I2800710378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bei Liu","raw_affiliation_strings":["Department of Navigation, Naval University of Engineering, Wuhan 430033, China","Guangxi Key Laboratory of Spatial Information and Geomatics, Guilin 530001, China"],"affiliations":[{"raw_affiliation_string":"Department of Navigation, Naval University of Engineering, Wuhan 430033, China","institution_ids":["https://openalex.org/I2800710378"]},{"raw_affiliation_string":"Guangxi Key Laboratory of Spatial Information and Geomatics, Guilin 530001, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046853018","display_name":"Shaofeng Bian","orcid":"https://orcid.org/0000-0003-1919-2746"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaofeng Bian","raw_affiliation_strings":["Key Laboratory of Geological Exploration and Evaluation Ministry of Education, China University of Geosciences, Wuhan 430033, China","School of Geography and Information Engineering, China University of Geosciences, Wuhan 430033, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Geological Exploration and Evaluation Ministry of Education, China University of Geosciences, Wuhan 430033, China","institution_ids":["https://openalex.org/I3124059619"]},{"raw_affiliation_string":"School of Geography and Information Engineering, China University of Geosciences, Wuhan 430033, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008994992","display_name":"Bing Ji","orcid":"https://orcid.org/0000-0002-5176-8314"},"institutions":[{"id":"https://openalex.org/I2800710378","display_name":"Naval University of Engineering","ror":"https://ror.org/056vyez31","country_code":"CN","type":"education","lineage":["https://openalex.org/I2800710378"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bing Ji","raw_affiliation_strings":["Department of Navigation, Naval University of Engineering, Wuhan 430033, China"],"affiliations":[{"raw_affiliation_string":"Department of Navigation, Naval University of Engineering, Wuhan 430033, China","institution_ids":["https://openalex.org/I2800710378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102877179","display_name":"Shuguang Wu","orcid":"https://orcid.org/0000-0001-8099-6669"},"institutions":[{"id":"https://openalex.org/I2800710378","display_name":"Naval University of Engineering","ror":"https://ror.org/056vyez31","country_code":"CN","type":"education","lineage":["https://openalex.org/I2800710378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuguang Wu","raw_affiliation_strings":["Department of Navigation, Naval University of Engineering, Wuhan 430033, China"],"affiliations":[{"raw_affiliation_string":"Department of Navigation, Naval University of Engineering, Wuhan 430033, China","institution_ids":["https://openalex.org/I2800710378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030182876","display_name":"Pengfei Xian","orcid":null},"institutions":[{"id":"https://openalex.org/I2800710378","display_name":"Naval University of Engineering","ror":"https://ror.org/056vyez31","country_code":"CN","type":"education","lineage":["https://openalex.org/I2800710378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pengfei Xian","raw_affiliation_strings":["Department of Navigation, Naval University of Engineering, Wuhan 430033, China"],"affiliations":[{"raw_affiliation_string":"Department of Navigation, Naval University of Engineering, Wuhan 430033, China","institution_ids":["https://openalex.org/I2800710378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100420508","display_name":"Cheng Chen","orcid":"https://orcid.org/0000-0001-7105-6667"},"institutions":[{"id":"https://openalex.org/I2800710378","display_name":"Naval University of Engineering","ror":"https://ror.org/056vyez31","country_code":"CN","type":"education","lineage":["https://openalex.org/I2800710378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Chen","raw_affiliation_strings":["Department of Navigation, Naval University of Engineering, Wuhan 430033, China"],"affiliations":[{"raw_affiliation_string":"Department of Navigation, Naval University of Engineering, Wuhan 430033, China","institution_ids":["https://openalex.org/I2800710378"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058603412","display_name":"Ruichen Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I2800710378","display_name":"Naval University of Engineering","ror":"https://ror.org/056vyez31","country_code":"CN","type":"education","lineage":["https://openalex.org/I2800710378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruichen Zhang","raw_affiliation_strings":["Department of Navigation, Naval University of Engineering, Wuhan 430033, China"],"affiliations":[{"raw_affiliation_string":"Department of Navigation, Naval University of Engineering, Wuhan 430033, China","institution_ids":["https://openalex.org/I2800710378"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5008994992"],"corresponding_institution_ids":["https://openalex.org/I2800710378"],"apc_list":{"value":2500,"currency":"CHF","value_usd":2707},"apc_paid":{"value":2500,"currency":"CHF","value_usd":2707},"fwci":0.5879,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69439144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"15","issue":"1","first_page":"230","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"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/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"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/T10572","display_name":"Geophysical and Geoelectrical Methods","score":0.9994999766349792,"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/T13177","display_name":"Geological and Geophysical Studies","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1907","display_name":"Geology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gravity-anomaly","display_name":"Gravity anomaly","score":0.6451840996742249},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.5085991621017456},{"id":"https://openalex.org/keywords/gravitational-field","display_name":"Gravitational field","score":0.49955034255981445},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.4823607802391052},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.4117320775985718},{"id":"https://openalex.org/keywords/geophysics","display_name":"Geophysics","score":0.4094691276550293},{"id":"https://openalex.org/keywords/geodesy","display_name":"Geodesy","score":0.4051308333873749},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.39705339074134827},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3498428761959076},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33183005452156067},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2226623296737671},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.20603546500205994},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.10968506336212158}],"concepts":[{"id":"https://openalex.org/C96342900","wikidata":"https://www.wikidata.org/wiki/Q1413914","display_name":"Gravity anomaly","level":3,"score":0.6451840996742249},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.5085991621017456},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.49955034255981445},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.4823607802391052},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.4117320775985718},{"id":"https://openalex.org/C8058405","wikidata":"https://www.wikidata.org/wiki/Q46255","display_name":"Geophysics","level":1,"score":0.4094691276550293},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.4051308333873749},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.39705339074134827},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3498428761959076},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33183005452156067},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2226623296737671},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.20603546500205994},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.10968506336212158},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","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},{"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:10.3390/rs15010230","is_oa":true,"landing_page_url":"https://doi.org/10.3390/rs15010230","pdf_url":"https://www.mdpi.com/2072-4292/15/1/230/pdf?version=1672491294","source":{"id":"https://openalex.org/S43295729","display_name":"Remote Sensing","issn_l":"2072-4292","issn":["2072-4292"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Remote Sensing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:368ab85f476f4142bec4fe187436cefc","is_oa":true,"landing_page_url":"https://doaj.org/article/368ab85f476f4142bec4fe187436cefc","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Remote Sensing, Vol 15, Iss 1, p 230 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2072-4292/15/1/230/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/rs15010230","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Remote Sensing; Volume 15; Issue 1; Pages: 230","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/rs15010230","is_oa":true,"landing_page_url":"https://doi.org/10.3390/rs15010230","pdf_url":"https://www.mdpi.com/2072-4292/15/1/230/pdf?version=1672491294","source":{"id":"https://openalex.org/S43295729","display_name":"Remote Sensing","issn_l":"2072-4292","issn":["2072-4292"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Remote Sensing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.7699999809265137,"display_name":"Life below water"}],"awards":[{"id":"https://openalex.org/G2187586418","display_name":null,"funder_award_id":"41874091","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8151753531","display_name":null,"funder_award_id":"41971416","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4313472501.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1121970413","https://openalex.org/W1511720900","https://openalex.org/W1977299426","https://openalex.org/W1984195633","https://openalex.org/W1992742660","https://openalex.org/W2002198246","https://openalex.org/W2012208288","https://openalex.org/W2012682642","https://openalex.org/W2033885968","https://openalex.org/W2046715438","https://openalex.org/W2061250918","https://openalex.org/W2061641282","https://openalex.org/W2100490849","https://openalex.org/W2108548334","https://openalex.org/W2150643309","https://openalex.org/W2336437377","https://openalex.org/W2352624880","https://openalex.org/W2356523787","https://openalex.org/W2360746481","https://openalex.org/W2366664666","https://openalex.org/W2380189118","https://openalex.org/W2406943272","https://openalex.org/W2542294900","https://openalex.org/W2914121423","https://openalex.org/W2954699656","https://openalex.org/W2971507844","https://openalex.org/W3006604863","https://openalex.org/W3106332491","https://openalex.org/W3200995408","https://openalex.org/W4289520915","https://openalex.org/W6774112913","https://openalex.org/W6999746393"],"related_works":["https://openalex.org/W3148881609","https://openalex.org/W2350962908","https://openalex.org/W1508605967","https://openalex.org/W1698695505","https://openalex.org/W1980470275","https://openalex.org/W2490267035","https://openalex.org/W2581535539","https://openalex.org/W2380881626","https://openalex.org/W2385259984","https://openalex.org/W2345275082"],"abstract_inverted_index":{"Accurate":[0],"and":[1,20,80,114,184],"highly":[2],"precise":[3],"gravity":[4,14,25,48,53,60,74,93,97,125,164,182,191],"gradient":[5,26,49,61,75,94,165,192],"data":[6,27,99,127,193],"are":[7,28,83,100,131,143],"an":[8],"important":[9],"component":[10],"of,":[11],"for":[12,72,90,190],"example,":[13],"field":[15,126],"modeling,":[16],"seabed":[17],"topography":[18],"inversion,":[19],"resource":[21],"exploration.":[22],"However,":[23],"high-precision":[24],"difficult":[29],"to":[30,44,103,133],"obtain.":[31],"To":[32],"address":[33],"this":[34,36,155,171],"difficulty,":[35],"work":[37],"introduces":[38],"the":[39,45,55,59,92,104,107,115,135,141,150,161,178],"Fourier":[40,116],"series":[41,117],"expansion":[42,118],"method":[43,71,189],"modeling":[46],"of":[47,58,111,137,163,180],"fields.":[50],"Based":[51],"on":[52,96,154],"anomalies,":[54],"analytic":[56,88],"expressions":[57,89],"tensors":[62],"have":[63,173],"been":[64],"deduced,":[65],"which":[66],"provides":[67],"a":[68,186],"new":[69,187],"mathematical":[70,188],"obtaining":[73],"data.":[76],"The":[77,145,167],"expression\u2019s":[78],"derivation":[79],"verification":[81],"processes":[82],"as":[84],"follows.":[85],"First,":[86],"these":[87,138],"inverting":[91],"based":[95,153],"anomaly":[98],"derived":[101,169],"according":[102],"Laplace":[105],"equation,":[106],"boundary":[108],"value":[109],"conditions":[110],"spherical":[112],"approximation,":[113],"method.":[119],"Then,":[120],"global":[121],"1\u2019":[122,124],"\u00d7":[123],"provided":[128],"by":[129],"UCSD":[130],"used":[132],"verify":[134],"accuracy":[136],"formulas.":[139],"Finally,":[140],"results":[142,147,151],"analyzed.":[144],"experimental":[146],"show":[148,160],"that":[149],"obtained":[152],"inversion":[156,179],"formula":[157],"can":[158],"sufficiently":[159],"details":[162],"changes.":[166],"formulas":[168],"in":[170,177],"paper":[172],"good":[174],"computational":[175],"efficiency":[176],"regional":[181],"gradients":[183],"provide":[185],"acquisition.":[194]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2023-01-06T00:00:00"}