考虑时间效应的隧道开挖三维沉降预测模型及应用

刘波; 杨伟红

考虑时间效应的隧道开挖三维沉降预测模型及应用

刘波,
杨伟红

LiuBo1,
2

摘要

摘要: 采用随机介质理论进行地铁隧道建设的沉降预测时难以考虑沉降随时间的变化过程。本文基于正态分布累计函数及随机介质理论,建立了考虑时间效应的三维地表沉降预测模型,分别推导了考虑时间效应的单隧道及双隧道的三维地表沉降预测公式、地表沉降三维倾斜率及三维曲率的计算方法。以北京地铁七号线东延豆各庄站—黑庄户站区间工程为背景,对沉降监测数据进行了反分析预测研究。结果表明:沉降-时间模型与监测数据较为吻合,验证了本模型的科学性;根据不同时刻的预测沉降曲面可以计算三维倾斜和三维曲率,获得了地表差异沉降及地表沉降曲面的形态随时间的变化规律。

Abstract: Itisdifficulttoconsiderthechangeofsettlementalongwithtimebyusingstochasticmedium theoryinthesettlementpredictionprocessinsubwayconstruction. Anewsettlement-timemodelisproposed. Thismodelisbasedonnormallydistributedcumulativefunction. Apredictionmodelofthreedimensionalgroundsurfacesettlementconsideringtimeeffectinducedbysubwaytunnelingisbuiltup byusingstochasticmediumtheory. Thepredictionformulaeofgroundsurfacesettlementconsidering timeeffectinducedbysingletunnelandtwintunnelsarededuced. Thecomputingmethodofthree-dimensionalinclineandcurvatureofthegroundsurfacesettlementconsideringtimeeffectispresented. A casestudyofbackanalysisispresentedbasedontheDougezhuang-Heizhuanghusectiontunnelproject ofBeijingsubwayconstruction. Theresultsshowthat:Thetime-settlementmodelisclosetothemeasureddata,whichprovedthemodelisscientific;Themodelcanmakepredictionofthespatialdistributionandtimevariationofsettlement;Accordingbythepredictedsettlementsurface,wecancalculate
thethree-dimensionalinclineandcurvatureofthegroundsurfacesettlement,andobtainthedifferential settlementandshapeofthesurfacesettlementovertime.

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