工程科学学报，第39卷，第11期：1626-1633,2017年11月 Chinese Journal of Engineering,Vol.39,No.11:1626-1633,November 2017 D0l:10.13374/j.issn2095-9389.2017.11.003;http://journals..ustb.edu.cn 石膏围岩隧道衬砌结构破坏模式及时变可靠度模型 陈 钒12”，吴顺川”，任松》，李振元)四 1)北京科技大学土木与资源工程学院，北京1000832)中电建路桥集团有限公司，北京100048 3)重庆大学煤矿灾害动力学与控制国家重点实验室，重庆400044 ☒通信作者，E-mail:zy_wuwei(@foxmail.com 摘要石膏围岩具有很强的膨胀性和腐蚀性，在隧道全寿命周期内均会引起衬砌结构自身强度劣化及受力增加，严重影响 隧道二次衬砌结构可靠性.针对石膏围岩膨胀特性和腐蚀性对隧道二次衬砌结构的影响分别建立了二次衬砌结构膨胀破坏 模式和腐蚀破坏模式：考虑石膏围岩膨胀性和腐蚀性对隧道衬砌结构的综合影响，建立了石膏围岩隧道二次衬砌结构综合破 坏模式：基于结构体功能函数，推导出能够初步考虑围岩膨胀性和腐蚀性的隧道衬砌结构可靠度指标计算公式：并分别建立 了三种破坏模式下的时变可靠度分析模型.采用石膏围岩隧道衬砌结构综合破坏模式下的时变可靠度模型对礼让隧道进行 了分析，得到其在使用寿命1O0内的可靠度指标变化规律.根据计算结果可以优化石膏围岩隧道衬砌结构的抗腐蚀、抗膨 张和支护结构设计参数，并对石膏围岩隧道使用寿命周期内的合理维护及维修提供依据.研究成果可推广应用于隧道衬砌 结构的可靠度研究中. 关键词石膏岩：衬砌结构；破坏模式：塑性区：时变可靠度 分类号T94 Failure mode and time-dependent reliability model of tunnel lining structure built in gypsum rock CHEN Fan,WU Shun-chuan,REN Song,LI Zhen-yuan 1)School of Civil and Recourses Engineering,University of Science and Technology Beijing,Beijing 100083,China 2)Power China Road Bridge Group Co.Lid.Beijing 100048,China 3)State Key Laboratory of Coal Mine Disaster Dynamies and Control,Chongqing University,Chongqing 400044,China Corresponding author,E-mail:Izy_wuwei@foxmail.com ABSTRACT Gypsum rock is strongly corrosive and expansive,which can cause significant deterioration in the lining structure and the strength over the life sysle of a geologic tunnel.It would seriously affect the reliability of the tunnel lining structure reliability and negatively impact complex structural rules.In this reported study,the expansion failure and corrosion failure modes of the lining struc- ture were established according to the influence of the expansive character and the corrosivity of the gypsum wall rock on the tunnel lin- ing structure.Based on the combined effects of swelling and the corrosivity of gypsum on the tunnel lining structure,a comprehensive failure mode for the gypsum rock tunnel lining structure was established.Based on the structural functions,a derived reliability index formula for the tunnel lining structure based on the swelling and erosion of surrounding rock was established.A reliability analysis model of the gypsum in three failure modes was instituted.Based on the failure mode of the surrounding gypsum rock,the time-de- pendent reliability model of Lirang tunnel was analyzed,and a rule for the reliability index in a life span over a period of 100 years was obtained.According to the calculated results,the corrosion resistance,anti-swelling and supporting structure design parameters of the tunnel lining structure of gypsum rock could be optimized,and rational maintenance and repair of the gypsum rock tunnel life-eycle was provided.The research results can be applied to reliability research of tunnel lining structures. 收稿日期：2016-1201 基金项目：国家自然科学基金资助项目(51774057)工程科学学报，第 39 卷，第 11 期: 1626--1633，2017 年 11 月 Chinese Journal of Engineering，Vol． 39，No． 11: 1626--1633，November 2017 DOI: 10． 13374 /j． issn2095--9389． 2017． 11． 003; http: / /journals． ustb． edu． cn 石膏围岩隧道衬砌结构破坏模式及时变可靠度模型 陈 钒1，2) ，吴顺川1) ，任 松3) ，李振元3)  收稿日期: 2016--12--01 基金项目: 国家自然科学基金资助项目( 51774057) 1) 北京科技大学土木与资源工程学院，北京 100083 2) 中电建路桥集团有限公司，北京 100048 3) 重庆大学煤矿灾害动力学与控制国家重点实验室，重庆 400044  通信作者，E-mail: lzy_wuwei@ foxmail． com 摘 要 石膏围岩具有很强的膨胀性和腐蚀性，在隧道全寿命周期内均会引起衬砌结构自身强度劣化及受力增加，严重影响 隧道二次衬砌结构可靠性． 针对石膏围岩膨胀特性和腐蚀性对隧道二次衬砌结构的影响分别建立了二次衬砌结构膨胀破坏 模式和腐蚀破坏模式; 考虑石膏围岩膨胀性和腐蚀性对隧道衬砌结构的综合影响，建立了石膏围岩隧道二次衬砌结构综合破 坏模式; 基于结构体功能函数，推导出能够初步考虑围岩膨胀性和腐蚀性的隧道衬砌结构可靠度指标计算公式; 并分别建立 了三种破坏模式下的时变可靠度分析模型． 采用石膏围岩隧道衬砌结构综合破坏模式下的时变可靠度模型对礼让隧道进行 了分析，得到其在使用寿命 100 a 内的可靠度指标变化规律． 根据计算结果可以优化石膏围岩隧道衬砌结构的抗腐蚀、抗膨 胀和支护结构设计参数，并对石膏围岩隧道使用寿命周期内的合理维护及维修提供依据． 研究成果可推广应用于隧道衬砌 结构的可靠度研究中． 关键词 石膏岩; 衬砌结构; 破坏模式; 塑性区; 时变可靠度 分类号 TU94 Failure mode and time-dependent reliability model of tunnel lining structure built in gypsum rock CHEN Fan1，2) ，WU Shun-chuan1) ，ＲEN Song3) ，LI Zhen-yuan3)  1) School of Civil and Ｒecourses Engineering，University of Science and Technology Beijing，Beijing 100083，China 2) Power China Ｒoad Bridge Group Co． Ltd． ，Beijing 100048，China 3) State Key Laboratory of Coal Mine Disaster Dynamics and Control，Chongqing University，Chongqing 400044，China  Corresponding author，E-mail: lzy_wuwei@ foxmail． com ABSTＲACT Gypsum rock is strongly corrosive and expansive，which can cause significant deterioration in the lining structure and the strength over the life sysle of a geologic tunnel． It would seriously affect the reliability of the tunnel lining structure reliability and negatively impact complex structural rules． In this reported study，the expansion failure and corrosion failure modes of the lining struc￾ture were established according to the influence of the expansive character and the corrosivity of the gypsum wall rock on the tunnel lin￾ing structure． Based on the combined effects of swelling and the corrosivity of gypsum on the tunnel lining structure，a comprehensive failure mode for the gypsum rock tunnel lining structure was established． Based on the structural functions，a derived reliability index formula for the tunnel lining structure based on the swelling and erosion of surrounding rock was established． A reliability analysis model of the gypsum in three failure modes was instituted． Based on the failure mode of the surrounding gypsum rock，the time-de￾pendent reliability model of Lirang tunnel was analyzed，and a rule for the reliability index in a life span over a period of 100 years was obtained． According to the calculated results，the corrosion resistance，anti-swelling and supporting structure design parameters of the tunnel lining structure of gypsum rock could be optimized，and rational maintenance and repair of the gypsum rock tunnel life-cycle was provided． The research results can be applied to reliability research of tunnel lining structures．