考虑时间效应的隧道开挖三维沉降预测模型及应用  

Prediction model and application of three-dimensional ground surface settlement induced by tunnel excavation considering time effect

作　　者：刘波[1,2] 杨伟红[1] Liu Bo;Yang Weihong(School of Mechanics and Civil Engineering,China University of Mining and Technology,Beijing 100083,China;State Key Laboratory of Deep GeoMechanics and Underground Engineering,Beijing 100083,China)

机构地区：[1]中国矿业大学(北京)力学与建筑工程学院,北京100083 [2]深部岩土力学与地下工程国家重点实验室,北京100083

出　　处：《矿业科学学报》2019年第5期384-393,共10页Journal of Mining Science and Technology

基　　金：“十三五”国家重点研发计划(2016YFC080250504);国家自然科学基金(41472259)

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。It is difficult to consider the change of settlement along with time by using stochastic medium theory in the settlement prediction process in subway construction.A new settlement-time model is proposed.This model is based on normally distributed cumulative function.A prediction model of three-dimensional ground surface settlement considering time effect induced by subway tunneling is built up by using stochastic medium theory.The prediction formulae of ground surface settlement considering time effect induced by single tunnel and twin tunnels are deduced.The computing method of three-dimensional incline and curvature of the ground surface settlement considering time effect is presented.A case study of back analysis is presented based on the Dougezhuang-Heizhuanghu section tunnel project of Beijing subway construction.The results show that:The time-settlement model is close to the measured data,which proved the model is scientific;The model can make prediction of the spatial distribution and time variation of settlement;According by the predicted settlement surface,we can calculate the three-dimensional incline and curvature of the ground surface settlement,and obtain the differential settlement and shape of the surface settlement over time.

关 键 词：地下工程 地表沉降 随机介质理论 三维沉降槽 地铁隧道 

分 类 号：U45[建筑科学—桥梁与隧道工程]