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dc.contributor.authorZhiguo, Zhang
dc.contributor.authorMengxi, Zhang
dc.contributor.authorPan, Yutao
dc.contributor.authorZhenbo, Li
dc.contributor.authorAnxi, Shen
dc.contributor.authorQihua, Zhao
dc.date.accessioned2022-03-09T11:28:50Z
dc.date.available2022-03-09T11:28:50Z
dc.date.created2021-06-27T17:07:54Z
dc.date.issued2021
dc.identifier.citationApplied Mathematical Modelling. 2021, 98 537-562.en_US
dc.identifier.issn0307-904X
dc.identifier.urihttps://hdl.handle.net/11250/2983971
dc.description.abstractThe long-term leakage of lining under train loading has a significant impact on the consolidation settlements around shield tunnel and the rheological behaviour of viscoelastic porous soils will further exacerbate this consequence, which adversely affect the adjacent geo-environments and the subsidence of existing structures. At present, the assumptions of tunnel impermeable lining and liner-elastic clays are usually received to conduct on the consolidation settlements. Moreover, little attention is paid on the coupled influence of lining leakage and train loading. For better engineering serviceability in viscous porous clays, this paper presents a closed-form analytical solution for predicting the ground consolidation settlements under train loading considering the lining leakage and the rheological medium, with the scope of Terzaghi-Rendulic theory. By introducing semi-permeable boundary condition, the triangular cyclic loading is equivalently applied to the tunnel lining and the Boltzmann viscoelastic model is employed to simulate the rheological characteristic of the actual geology. The dissipation solution of excess pore water pressure and the ground responses in viscoelastic porous clays are derived using the conformal mapping. In addition, the accuracy of the analytical solutions is verified by comparisons with in-situ observed data and existing numerical simulation results from the engineering cases, showing reasonable alignments. The differences between the Kelvin and Boltzmann model are further analyzed to estimate the influences of rheological geology. Furthermore, a detailed sensitivity analysis is also implemented to investigate the performance of concerned parameters on the surface consolidation settlements, including the lining-soil permeability, the parameters of Boltzmann model (elasticity module Eh in the Hoek body, elasticity module Ek and viscosity coefficient ηk in the Kelvin body), and the train loading. The interesting point and ingenious approach in this study are tracing the corresponding analytical solutions on the consideration for not only the coupled influence of lining leakage and train loading but also the rheological behaviour in the viscoelastic porous soils.en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.titleMathematical modelling for ground consolidation settlements induced by lining leakage of shield tunnel under train loading in viscoelastic porous soilsen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.rights.holderThis version of the article will not be available due to copyright restrictions by Elsevieren_US
dc.source.pagenumber537-562en_US
dc.source.volume98en_US
dc.source.journalApplied Mathematical Modellingen_US
dc.identifier.doi10.1016/j.apm.2021.05.025
dc.identifier.cristin1918743
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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