{"id":"https://openalex.org/W7147478144","doi":"https://doi.org/10.1061/jenmdt.emeng-8858","title":"Novel Semianalytical Solution for Three-Dimensional Consolidation of Multilayered Saturated Soils with Distributed Drainage Boundaries","display_name":"Novel Semianalytical Solution for Three-Dimensional Consolidation of Multilayered Saturated Soils with Distributed Drainage Boundaries","publication_year":2026,"publication_date":"2026-04-01","ids":{"openalex":"https://openalex.org/W7147478144","doi":"https://doi.org/10.1061/jenmdt.emeng-8858"},"language":"en","primary_location":{"id":"doi:10.1061/jenmdt.emeng-8858","doi":"https://doi.org/10.1061/jenmdt.emeng-8858","is_oa":false,"landing_page_url":"https://doi.org/10.1061/jenmdt.emeng-8858","pdf_url":null,"source":{"id":"https://openalex.org/S160934207","display_name":"Journal of Engineering Mechanics","issn_l":"0733-9399","issn":["0733-9399","1943-7889"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310315747","host_organization_name":"American Society of Civil Engineers","host_organization_lineage":["https://openalex.org/P4310315747"],"host_organization_lineage_names":["American Society of Civil Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Engineering Mechanics","raw_type":"journal-article"},"volume":null,"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":null,"display_name":"Chaofan Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chaofan Liu","raw_affiliation_strings":["Hunan Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunan Univ","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5120992306","display_name":"Minghua Huang","orcid":"https://orcid.org/0000-0002-8140-2436","observed_orcids":["https://orcid.org/0000-0002-8140-2436"]},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Minghua Huang","raw_affiliation_strings":["Hunan Univ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunan Univ","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16609230"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1652164,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"152","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11375","display_name":"Geotechnical Engineering and Soil Stabilization","score":0.5493000149726868,"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/T11375","display_name":"Geotechnical Engineering and Soil Stabilization","score":0.5493000149726868,"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/T10233","display_name":"Geotechnical Engineering and Soil Mechanics","score":0.3125,"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/T10716","display_name":"Soil and Unsaturated Flow","score":0.0348999984562397,"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/three-dimensional-consolidation","display_name":"three-dimensional consolidation","score":0.9900000095367432},{"id":"https://openalex.org/keywords/semi-analytical-solution","display_name":"semi-analytical solution","score":0.9369999766349792},{"id":"https://openalex.org/keywords/excess-pore-pressure","display_name":"excess pore water pressure","score":0.8859999775886536},{"id":"https://openalex.org/keywords/degree-of-consolidation","display_name":"degree of consolidation","score":0.984000027179718},{"id":"https://openalex.org/keywords/fourier-cosine-series","display_name":"Fourier cosine series","score":0.7360000014305115},{"id":"https://openalex.org/keywords/indicator-function","display_name":"indicator function","score":0.7459999918937683},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.6290000081062317},{"id":"https://openalex.org/keywords/inverse-laplace-transform","display_name":"inverse Laplace transform","score":0.7760000228881836},{"id":"https://openalex.org/keywords/relative-permeability","display_name":"relative permeability","score":0.6710000038146973},{"id":"https://openalex.org/keywords/soil-anisotropy","display_name":"soil anisotropy","score":0.8069999814033508}],"concepts":[{"id":"https://openalex.org/C2776014549","wikidata":"https://www.wikidata.org/wiki/Q3050847","display_name":"Consolidation (business)","level":2,"score":0.7993999719619751},{"id":"https://openalex.org/C67592535","wikidata":"https://www.wikidata.org/wiki/Q7481320","display_name":"Drainage","level":2,"score":0.7419999837875366},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6287999749183655},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.49390000104904175},{"id":"https://openalex.org/C102579867","wikidata":"https://www.wikidata.org/wiki/Q2914346","display_name":"Pore water pressure","level":2,"score":0.4578000009059906},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.438400000333786},{"id":"https://openalex.org/C159750122","wikidata":"https://www.wikidata.org/wiki/Q96621023","display_name":"Soil water","level":2,"score":0.4250999987125397},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4172999858856201},{"id":"https://openalex.org/C103272765","wikidata":"https://www.wikidata.org/wiki/Q2151066","display_name":"Richards equation","level":3,"score":0.4113999903202057},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.36169999837875366},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.328000009059906},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.3240000009536743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32100000977516174},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3043000102043152},{"id":"https://openalex.org/C47615080","wikidata":"https://www.wikidata.org/wiki/Q1328722","display_name":"Sine and cosine transforms","level":5,"score":0.29269999265670776},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2847000062465668},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.2750000059604645},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.26899999380111694},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.2671000063419342},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2563999891281128},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.251800000667572},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1061/jenmdt.emeng-8858","doi":"https://doi.org/10.1061/jenmdt.emeng-8858","is_oa":false,"landing_page_url":"https://doi.org/10.1061/jenmdt.emeng-8858","pdf_url":null,"source":{"id":"https://openalex.org/S160934207","display_name":"Journal of Engineering Mechanics","issn_l":"0733-9399","issn":["0733-9399","1943-7889"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310315747","host_organization_name":"American Society of Civil Engineers","host_organization_lineage":["https://openalex.org/P4310315747"],"host_organization_lineage_names":["American Society of Civil Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Engineering Mechanics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.6202235817909241,"display_name":"Life on land","id":"https://metadata.un.org/sdg/15"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1967076749","https://openalex.org/W1981007691","https://openalex.org/W2006014837","https://openalex.org/W2030869335","https://openalex.org/W2058343092","https://openalex.org/W2072728128","https://openalex.org/W2083673489","https://openalex.org/W2313737253","https://openalex.org/W2326745949","https://openalex.org/W2625272749","https://openalex.org/W2888637889","https://openalex.org/W2893808944","https://openalex.org/W2898060790","https://openalex.org/W2911358843","https://openalex.org/W2916589850","https://openalex.org/W2920131688","https://openalex.org/W2983467292","https://openalex.org/W3025635997","https://openalex.org/W3137392825","https://openalex.org/W3217622486","https://openalex.org/W4213018669","https://openalex.org/W4220791134","https://openalex.org/W4317042679","https://openalex.org/W4320085761","https://openalex.org/W4324359175","https://openalex.org/W4385507189","https://openalex.org/W4387139592","https://openalex.org/W4391136556","https://openalex.org/W4392821746","https://openalex.org/W4401341839","https://openalex.org/W4402619573"],"related_works":[],"abstract_inverted_index":{"This":[0],"study":[1],"develops":[2],"a":[3,31,74,230],"novel":[4],"semianalytical":[5],"solution":[6,81,139],"to":[7,46,66,79,158,211],"the":[8,24,41,48,52,56,69,80,86,117,137,162,167,172,176,180,199,204,212,218,221,224,235,246],"three-dimensional":[9],"(3D)":[10],"consolidation":[11,113,173,200,237],"problem":[12],"of":[13,112,136,207,223,249],"multilayered":[14],"saturated":[15],"soils":[16],"with":[17,77,149],"distributed":[18,26,70,163,250],"drainage":[19,27,71,107,164,213,251],"boundaries.":[20],"The":[21,120,132],"method":[22],"integrates":[23],"piecewise-defined":[25],"boundary":[28,165,214],"conditions":[29],"into":[30],"unified":[32],"mathematical":[33],"expression":[34],"by":[35],"introducing":[36],"an":[37],"indicator":[38],"function.":[39],"Subsequently,":[40],"Laplace":[42,118,130],"transform":[43],"is":[44,83],"applied":[45],"process":[47,89,201],"governing":[49],"equation":[50],"in":[51,91,116,175],"time":[53,121],"domain,":[54],"and":[55,61,109,134,147,170,187,202],"Fourier":[57],"cosine":[58],"series":[59],"expansion":[60],"its":[62],"orthogonality":[63],"are":[64,114,124,140],"utilized":[65],"directly":[67],"treat":[68],"boundary.":[72],"Thus,":[73],"linear":[75],"system":[76],"respect":[78],"coefficients":[82],"derived,":[84],"avoiding":[85],"complex":[87],"iterative":[88],"used":[90],"previous":[92],"studies.":[93],"By":[94],"using":[95,127],"matrix":[96],"operation":[97],"techniques,":[98],"analytical":[99],"expressions":[100],"for":[101,245],"excess":[102],"pore":[103],"pressure":[104],"(EPP),":[105],"average":[106,110],"velocity,":[108],"degree":[111],"obtained":[115,126],"domain.":[119],"domain":[122],"solutions":[123],"then":[125],"numerical":[128],"inverse":[129],"transforms.":[131],"accuracy":[133],"effectiveness":[135],"proposed":[138],"verified":[141],"through":[142],"rigorous":[143],"theoretical":[144,243],"reduction":[145],"analysis":[146,154],"comparisons":[148],"finite-element":[150],"simulation":[151],"results.":[152],"Parametric":[153],"indicates":[155],"that":[156],"compared":[157],"fully":[159],"permeable":[160],"conditions,":[161],"extends":[166],"seepage":[168],"path":[169],"delays":[171],"rate":[174],"early":[177],"stage.":[178],"Increasing":[179],"pave":[181],"rate,":[182],"thickness\u2013width":[183],"ratio,":[184],"anisotropy":[185],"coefficient,":[186],"relative":[188,194],"permeability,":[189],"as":[190,192],"well":[191],"reducing":[193],"compressibility,":[195],"can":[196,241],"effectively":[197],"accelerate":[198],"weaken":[203],"stratification":[205],"phenomenon":[206],"EPP.":[208],"Furthermore,":[209],"due":[210],"being":[215],"located":[216],"at":[217],"top":[219],"surface,":[220],"parameters":[222],"upper":[225],"soil":[226],"layer":[227],"typically":[228],"have":[229],"more":[231],"significant":[232],"influence":[233],"on":[234],"overall":[236],"behavior.":[238],"These":[239],"findings":[240],"provide":[242],"guidance":[244],"optimal":[247],"design":[248],"systems.":[252]},"counts_by_year":[],"updated_date":"2026-09-21T07:43:02.447757","created_date":"2026-04-02T00:00:00"}
