Longitudinal seismic response analysis of long tunnels based on random field model of strata parameters
YU Haitao1, HE Shuang2, LI Pan2,3*, LI Shuai4, CHEN Fengjun5, WANG Xinxin5
1. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China; 2. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 3. School of Rail Transportation, Soochow University, Suzhou 215131, Jiangsu, China; 4. China Machinery Industry Information Institute, Beijing 100037, China; 5. Shanghai Construction Group Co., Ltd., Shanghai 200080, China
Abstract: Seismic responses of tunnel structures are closely related to the surrounding strata properties. Currently, long tunnel construction develops fast and the tunnel length may reach up to several or even scores of kilometers. The strata parameters along the tunnel have significant spatial variability and correlation. However, the strata data used in the longitudinal seismic design of the tunnel was based on limited borehole data, and thus the random field characteristics of strata parameters between the boreholes have not been considered yet, or at least not well addressed. In this paper, a stochastic field model describing spatial variability and correlation of strata parameters was established based on the random field theory, and the covariance matrix decomposition method was used to generate random field distribution of strata parameters, which were employed into the simplified three-dimensional finite element model to characterize the dynamic interaction between stratum and structure. A series of simulation cases of tunnel longitudinal seismic response considering the influence of random field of stratum parameters were carried out to study the influence of horizontal correlation distance, variation coefficient and mean value of stratum on the seismic response of tunnel structure. Results indicated that: the correlation distance, variation coefficient and mean value all had a significant impact on the seismic response of the structure, and the change of horizontal correlation distance and mean value had a negative influence on the seismic response of the structure while the coefficient of variation had a positive influence. The influence of variation coefficient on the structural response was significantly greater than correlation distance; compared with the mean field without consideration of the randomness, the random field could significantly amplify the moment response amplitude of the tunnel structure by about 80%, and the mean field results would lead to unsafe design under the confidence level of 0.005.
禹海涛, 何爽, 李攀, 李帅, 陈峰军, 王新新. 基于地层参数随机场模型的长隧道纵向地震响应分析[J]. 隧道与地下工程灾害防治, 2020, 2(3): 58-66.
YU Haitao, HE Shuang, LI Pan, LI Shuai, CHEN Fengjun, WANG Xinxin. Longitudinal seismic response analysis of long tunnels based on random field model of strata parameters. Hazard Control in Tunnelling and Underground Engineering, 2020, 2(3): 58-66.
[1] VANMARCKE E H. Probabilistic modeling of soil profiles[J]. Journal of the Geotechnical Engineering Division, 1977, 103(11): 1227-1246. [2] 方超, 薛亚东. 围岩空间变异性对隧道结构可靠度的影响分析[J]. 现代隧道技术, 2014, 51(5): 41-47. FANG Chao, XUE Yadong. Analysis of the influence of spatial variability of surrounding rock on the reliability of a tunnel structure[J]. Modern Tunnelling Technology, 2014, 51(5): 41-47. [3] HUANG H W, GONG W P, KHOSHNEVISAN S, et al. Simplified procedure for finite element analysis of the longitudinal performance of shield tunnels considering spatial soil variability in longitudinal direction[J]. Computers and Geotechnics, 2015, 64: 132-145. [4] 程红战, 陈健, 胡之锋, 等. 考虑参数空间变异性的隧道下穿建筑物安全性评价[J]. 岩土工程学报, 2017, 39(增刊2): 75-78. CHENG Hongzhan, CHEN Jian, HU Zhifeng, et al. Evaluation of safety of buildings above tunnels accounting for spatial variability of soil properties[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(Suppl.2): 75-78. [5] 王长虹, 朱合华, 徐子川, 等. 考虑岩土参数空间变异性的盾构隧道地表沉降分析[J]. 岩土工程学报, 2018, 40(2): 270-277. WANG Changhong, ZHU Hehua, XU Zichuan, et al. Ground surface settlement of shield tunnels considering spatial variability of multiple geotechnical parameters[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(2): 270-277. [6] 禹海涛, 袁勇. 长大隧道地震响应分析与试验方法新进展[J]. 中国公路学报, 2018, 31(10): 19-35. YU Haitao, YUAN Yong. Review on seismic response analysis and test methods for long and large tunnels [J]. China Journal of Highway and Transport, 2018, 31(10): 19-35. [7] 禹海涛, 蔡创, 张正伟. 任意动载作用下长隧道纵向响应解析解[J]. 同济大学学报(自然科学版), 2018, 46(1): 1-6. YU Haitao, CAI Chuang, ZHANG Zhengwei. Analytical solutions for long tunnels under arbitrary dynamic loadings [J]. Journal of Tongji University(Natural Science), 2018, 46(1): 1-6. [8] 袁勇, 禹海涛, 燕晓, 等. 超长沉管隧道多点振动台试验模拟与分析[J]. 中国公路学报, 2016, 29(12): 157-165. YUAN Yong, YU Haitao, YAN Xiao, et al. Multi-point shaking table test simulation and analysis of a super-long immersed tunnel[J]. China Journal of Highway and Transport, 2016, 29(12): 157-165. [9] 禹海涛, 袁勇, 顾玉亮, 等. 非一致激励下长距离输水隧道地震响应分析[J]. 水利学报, 2013, 44(6): 718-725. YU Haitao, YUAN Yong, GU Yuliang, et al. Effect of non-uniform excitation on seismic response of long-distance water-conveyance tunnel[J]. Journal of Hydraulic Engineering, 2013, 44(6): 718-725. [10] 袁勇, 包蓁, 禹海涛, 等. 考虑行波效应的盾构隧道多点振动台试验[J]. 中国公路学报, 2017, 30(8): 174-182. YUAN Yong, BAO Zhen, YU Haitao, et al. Multi-point shaking table test on shield tunnels in consideration of wave-passage effect [J]. China Journal of Highway and Transport, 2017, 30(8): 174-182. [11] 岳庆霞, 任晓丹, 张鑫. 考虑地层弹性模量随机场的隧道结构地震响应分析[J]. 建筑结构学报, 2016, 37(增刊1): 356-361. YUE Qingxia, REN Xiaodan, ZHANG Xin. Seismic response of tunnel considering soil elastic modulus as random field[J]. Journal of Building Structures, 2016, 37(Suppl.1): 356-361. [12] 李杰, 廖松涛. 考虑岩土介质随机特性的工程场地地震动随机场分析[J]. 岩土工程学报, 2002, 24(6): 685-689. LI Jie, LIAO Songtao.The analysis of coherency function of earthquake ground motion considering stochastic effect in site media[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(6): 685-689. [13] CHEN Z Y, LIANG S B, HE C. Seismic performance of an immersed tunnel considering random soil properties and wave passage effects[J]. Structure and Infrastructure Engineering, 2018, 14(1/3): 89-103. [14] CHILES J P, DELFINER P. Geostatistics: modeling spatial uncertainty[M]. [S.l.] :John Wiley & Sons,1999. [15] DAVIS M W. Production of conditional simulations via the LU triangular decomposition of the covariance matrix[J]. Mathematical Geology, 1987, 19(2): 91-98. [16] COOLEY J W, TUKEY J W. An algorithm for the machine calculation of complex fourier series[J]. Mathematics of Computation, 1965, 19(90): 297-301. [17] FENTON G A, VANMARCKE E H. Simulation of random fields via local average subdivision[J]. Journal of Engineering Mechanics, ASCE, 1990, 116(8): 1733-1949. [18] JOHN C M S, ZAHRAH T F. Aseismic design of underground structures[J]. Tunnelling and Underground Space Technology, 1987, 2(2): 165-197. [19] TON V. The JCSS probabilistic model code[J]. Structural Safety, 1997, 19(3). [20] 禹海涛,张正伟,李攀, 等. 土岩变化地层长隧道纵向地震响应解析解[J]. 岩土工程学报, 2019, 41(7): 1244-1250. YU Haitao, ZHANG Zhengwei, LI Pan, et al. Analytical solution for longitudinal seismic responses of long tunnels crossing soil-rock stratum[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(7): 1244-1250.
2020, Vol. 2 
