{"id":"https://openalex.org/W2874321887","doi":"https://doi.org/10.3390/sym10070273","title":"An Analytical Model of Seepage Field for Symmetrical Underwater Tunnels","display_name":"An Analytical Model of Seepage Field for Symmetrical Underwater Tunnels","publication_year":2018,"publication_date":"2018-07-11","ids":{"openalex":"https://openalex.org/W2874321887","doi":"https://doi.org/10.3390/sym10070273","mag":"2874321887"},"language":"en","primary_location":{"id":"doi:10.3390/sym10070273","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10070273","pdf_url":"https://www.mdpi.com/2073-8994/10/7/273/pdf?version=1531300465","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/10/7/273/pdf?version=1531300465","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102009514","display_name":"Fan Wang","orcid":"https://orcid.org/0000-0002-7410-342X"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fan Wang","raw_affiliation_strings":["The Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China"],"raw_orcid":"https://orcid.org/0000-0002-7410-342X","affiliations":[{"raw_affiliation_string":"The Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050762456","display_name":"Pengfei Li","orcid":"https://orcid.org/0000-0002-4996-368X"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Pengfei Li","raw_affiliation_strings":["The Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050762456"],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.6955,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.72160039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"10","issue":"7","first_page":"273","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11220","display_name":"Water Systems and Optimization","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11220","display_name":"Water Systems and Optimization","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10894","display_name":"Groundwater flow and contamination studies","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12293","display_name":"Dam Engineering and Safety","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/inflow","display_name":"Inflow","score":0.7835500240325928},{"id":"https://openalex.org/keywords/underwater","display_name":"Underwater","score":0.7365443706512451},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.6743575930595398},{"id":"https://openalex.org/keywords/subsea","display_name":"Subsea","score":0.6524509787559509},{"id":"https://openalex.org/keywords/aquifer","display_name":"Aquifer","score":0.541696310043335},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.5267598032951355},{"id":"https://openalex.org/keywords/water-tunnel","display_name":"Water tunnel","score":0.5030993819236755},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.4852900207042694},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4735153019428253},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.4642406702041626},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4469687342643738},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4451008141040802},{"id":"https://openalex.org/keywords/groundwater","display_name":"Groundwater","score":0.24923983216285706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17194154858589172},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14308592677116394},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12353858351707458},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1040436327457428},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08267071843147278}],"concepts":[{"id":"https://openalex.org/C2776132308","wikidata":"https://www.wikidata.org/wiki/Q11070850","display_name":"Inflow","level":2,"score":0.7835500240325928},{"id":"https://openalex.org/C98083399","wikidata":"https://www.wikidata.org/wiki/Q3246517","display_name":"Underwater","level":2,"score":0.7365443706512451},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.6743575930595398},{"id":"https://openalex.org/C2777737062","wikidata":"https://www.wikidata.org/wiki/Q14898686","display_name":"Subsea","level":2,"score":0.6524509787559509},{"id":"https://openalex.org/C75622301","wikidata":"https://www.wikidata.org/wiki/Q208791","display_name":"Aquifer","level":3,"score":0.541696310043335},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.5267598032951355},{"id":"https://openalex.org/C2776827753","wikidata":"https://www.wikidata.org/wiki/Q2551054","display_name":"Water tunnel","level":3,"score":0.5030993819236755},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.4852900207042694},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4735153019428253},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.4642406702041626},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4469687342643738},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4451008141040802},{"id":"https://openalex.org/C76177295","wikidata":"https://www.wikidata.org/wiki/Q161598","display_name":"Groundwater","level":2,"score":0.24923983216285706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17194154858589172},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14308592677116394},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12353858351707458},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1040436327457428},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08267071843147278},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym10070273","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10070273","pdf_url":"https://www.mdpi.com/2073-8994/10/7/273/pdf?version=1531300465","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4719a3ec4209480d9f33bb9e538114d8","is_oa":true,"landing_page_url":"https://doaj.org/article/4719a3ec4209480d9f33bb9e538114d8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 10, Iss 7, p 273 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/10/7/273/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym10070273","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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym10070273","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10070273","pdf_url":"https://www.mdpi.com/2073-8994/10/7/273/pdf?version=1531300465","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life below water","score":0.5899999737739563,"id":"https://metadata.un.org/sdg/14"}],"awards":[{"id":"https://openalex.org/G7658227137","display_name":null,"funder_award_id":"51778025","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2874321887.pdf","grobid_xml":"https://content.openalex.org/works/W2874321887.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1966459447","https://openalex.org/W1972923596","https://openalex.org/W1989614081","https://openalex.org/W2003856504","https://openalex.org/W2012346838","https://openalex.org/W2024864242","https://openalex.org/W2053906469","https://openalex.org/W2594521946","https://openalex.org/W2728377031","https://openalex.org/W2747731828","https://openalex.org/W2790021569","https://openalex.org/W2808849094","https://openalex.org/W2980614490","https://openalex.org/W4292778635","https://openalex.org/W6768424886"],"related_works":["https://openalex.org/W2364994408","https://openalex.org/W2919247569","https://openalex.org/W2968368388","https://openalex.org/W2756406360","https://openalex.org/W2012346838","https://openalex.org/W2373460090","https://openalex.org/W2808849094","https://openalex.org/W4327566984","https://openalex.org/W2937988369","https://openalex.org/W4378760231"],"abstract_inverted_index":{"Based":[0],"on":[1],"the":[2,63,79,100,107,116,129,134,147,155],"mirror":[3],"image":[4],"method":[5],"and":[6,32,42,51,74,94,123,132,164],"superposition":[7],"principle,":[8],"an":[9,88,140],"analytical":[10,92,117,148],"model":[11,149],"of":[12,47,65,82,102,109,159],"seepage":[13,157],"field":[14,158],"for":[15,119],"symmetrical":[16,31,66,110,160],"underwater":[17,34,161],"tunnels":[18,35,55,67,81,162],"is":[19,23],"proposed.":[20],"The":[21,112,143],"condition":[22],"assumed":[24],"as":[25,87],"two-dimensional":[26],"steady":[27,156],"water":[28,49,52,76,104,124],"inflow":[29,53,125],"into":[30,54],"horizontal":[33],"in":[36,85,99,139,150],"a":[37],"fully":[38],"saturated,":[39],"homogeneous,":[40],"isotropic,":[41],"semi-infinite":[43],"aquifer.":[44],"Analytical":[45],"solutions":[46,93,96,118,131,144],"pore":[48,120],"distribution":[50,122],"are":[56,68,97,137],"obtained.":[57],"Two":[58],"different":[59],"boundary":[60],"conditions":[61],"at":[62,106],"perimeter":[64,108],"considered,":[69],"constant":[70,75],"total":[71],"hydraulic":[72],"head":[73],"pressure.":[77],"Taking":[78],"subsea":[80],"Xiamen":[83],"Xiang\u2019an":[84],"China":[86],"example,":[89],"comparisons":[90],"between":[91],"numerical":[95,130],"analyzed":[98],"case":[101],"zero":[103],"pressure":[105,121],"tunnels.":[111],"results":[113],"show":[114],"that":[115,133],"match":[126],"well":[127],"with":[128],"relative":[135],"deviations":[136],"all":[138],"acceptable":[141],"range.":[142],"derived":[145],"from":[146],"this":[151],"paper":[152],"can":[153],"analyze":[154],"accurately":[163],"reasonably.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}