Seismic Response Analysis of Cut-Off Wall of Dam Foundation Under Spatial Variability of Parameters

doi:10.16183/j.cnki.jsjtu.2021.242

Abstract

Abstract:

The overburden of rockfill dams has complex soil types, loose structures, and sometimes lenses, which make the material parameters of the overburden have spatial variability, and the impact of earthquakes on the stress and deformation of the dam foundation cut-off wall cannot be ignored. Under the framework of Monte Carlo, by using the Gaussian spatial random field discrete method of Cholesky decomposition, the secondary development of Abaqus with Python is used to realize the “non-invasive” stochastic finite element analysis of the spatial variability of the overburden material. The research results show that considering the spatial variability of the cover material, the stress and deformation of the different parts of the cut-off wall have different degrees of excess, and the coefficient of variation of dynamic stress is greater than that of the dynamic displacement, indicating the variability of the material parameters of the cover is more sensitive to the stress changes of the impervious wall under the action of earthquake. Therefore, this uncertainty should be considered in the design stage to ensure the safe operation of the dam foundation impervious wall.

Key words: overburden, cut-off wall, spatial variability, stochastic finite element, seismic response

CLC Number:

TV641

ZHANG Fuyou, ZHOU Qiangqiang, DU Pengcheng. Seismic Response Analysis of Cut-Off Wall of Dam Foundation Under Spatial Variability of Parameters[J]. Journal of Shanghai Jiao Tong University, 2022, 56(5): 684-692.

Figures/Tables 14

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References 24

[1]	任翔, 高大水, 高全, 等. 土石坝超深混凝土防渗墙变形与受力分析[J]. 长江科学院院报, 2018, 35(5): 120-124.
	REN Xiang, GAO Dashui, GAO Quan, et al. Deformation and stress analysis of ultra deep concrete cutoff wall of earth rock dam[J]. Journal of Yangtze River Scientific Research Institute, 2018, 35(5): 120-124.
[2]	万宇豪, 何蕴龙. 黄金坪坝基防渗墙地震反应规律[J]. 武汉大学学报(工学版), 2016, 49(3): 378-383.
	WAN Yuhao, HE Yunlong. Seismic response law of cutoff wall of Huangjinping rockfill dam[J]. Engineering Journal of Wuhan University, 2016, 49(3): 378-383.
[3]	余翔, 孔宪京, 邹德高. 混凝土防渗墙变形与应力分布特性[J]. 浙江大学学报(工学版), 2017, 51(9): 1704-1711.
	YU Xiang, KONG Xianjing, ZOU Degao. Deformation and stress distribution characteristics of concrete cut-off wall[J]. Journal of Zhejiang University (Engineering Science), 2017, 51(9): 1704-1711.
[4]	闫林. 堤坝高聚物防渗墙地震荷载下墙体动应力计算方法研究[D]. 河南: 郑州大学, 2020.
	YAN Lin. Study on calculation method of dynamic stress of earthrock dam with polymer anti-seepage wall under earthquake load[D]. Henan: Zhengzhou University, 2020.
[5]	余翔, 孔宪京, 邹德高, 等. 土石坝-覆盖层-基岩体系动力相互作用研究[J]. 水利学报, 2018, 49(11): 1378-1385.
	YU Xiang, KONG Xianjing, ZOU Degao, et al. Study on the dynamic interaction of earth dam-overburden-bedrock system[J]. Journal of Hydraulic Engineering, 2018, 49(11): 1378-1385.
[6]	余翔. 深厚覆盖层上土石坝静动力分析方法研究[D]. 大连: 大连理工大学, 2017.
	YU Xiang. Study on methods for the static and dynamic analysis of earth dam constructed on deep overburden[D]. Dalian: Dalian University of Technology, 2017.
[7]	温立峰. 复杂地质条件下混凝土面板堆石坝力学特性规律统计及数值模拟[D]. 西安: 西安理工大学, 2018.
	WEN Lifeng. Statistics and numerical simulation of mechanical characteristics of concrete faced rockfill dam under complex geological conditions[D]. Xi’an: Xi’an University of Technology, 2018.
[8]	蒋水华, 李典庆, 周创兵, 等. 考虑参数空间变异性的非饱和土坡可靠度分析[J]. 岩土力学, 2014, 35(9): 2569-2578.
	JIANG Shuihua, LI Dianqing, ZHOU Chuangbing, et al. Reliability analysis of unsaturated slope considering spatial variability[J]. Rock and Soil Mechanics, 2014, 35(9): 2569-2578.
[9]	李典庆, 蒋水华, 周创兵, 等. 考虑参数空间变异性的边坡可靠度分析非侵入式随机有限元法[J]. 岩土工程学报, 2013, 35(8): 1413-1422.
	LI Dianqing, JIANG Shuihua, ZHOU Chuangbing, et al. Reliability analysis of slopes considering spatial variability of soil parameters using non-intrusive stochastic finite element method[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(8): 1413-1422.
[10]	王建娥, 杨杰, 程琳, 等. 考虑材料参数空间变异性的堆石坝非侵入式随机有限元研究[J]. 水资源与水工程学报, 2019, 30(3): 200-207.
	WANG Jian’e, YANG Jie, CHENG Lin, et al. Study on the noninvasive stochastic finite element method of rockfill dam considering spatial variability of material parameters[J]. Journal of Water Resources and Water Engineering, 2019, 30(3): 200-207.
[11]	杨鸽, 朱晟. 考虑堆石料空间变异性的土石坝地震反应随机有限元分析[J]. 岩土工程学报, 2016, 38(10): 1822-1832.
	YANG Ge, ZHU Sheng. Seismicresponse of rockfill dams considering spatial variability of rockfill materials via randomfinite element method[J]. Chinese Journal of Geotechnical Engineering, 2016, 38 (10): 1822-1832.
[12]	郭晴, 刘东海, 陈辉. 空间差异性下沥青混凝土心墙坝应力与变形的随机有限元分析[J]. 长江科学院院报, 2019, 36(11): 140-146.
	GUO Qing, LIU Donghai, CHEN Hui. Stress and deformation of asphalt concrete core wall dam in consideration of spatial difference: Stochastic finite element analysis[J]. Journal of Yangtze River Scientific Research Institute, 2019, 36 (11): 140-146.
[13]	朱晟, 卢知是. 考虑级配空间随机特性的堆石坝变形应力分析[J]. 河海大学学报(自然科学版), 2021, 49(6): 543-549.
	ZHU Sheng, LU Zhishi. Static analysis of rockfill dams considering spatial randomness of gradation parameter[J]. Journal of Hohai University (Natural Sciences), 2021, 49(6): 543-549.
[14]	KEMAL H, ALEMDAR B, HASAN B B. Estimation of stochastic nonlinear dynamic response of rock-fill dams with uncertain material parameters for non-stationary random seismic excitation[J]. Nonlinear Dynamics, 2010, 61(1/2): 43-55. doi: 10.1007/s11071-009-9630-9 URL
[15]	蒋水华, 李典庆, 周创兵, 等. 考虑自相关函数影响的边坡可靠度分析[J]. 岩土工程学报, 2014, 36(3): 508-518.
	JIANG Shuihua, LI Dianqing, ZHOU Chuangbing, et al. Slope reliability analysis considering effect of autocorrelation functions[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(3): 508-518.
[16]	WU S H, OU C Y, CHING J Y, et al. Reliability-based design for basal heave stability of deep excavations in spatially varying soils[J]. Journal of Geotechnical & Geoenvironmental Engineering, 2012, 138(5): 594-603.
[17]	李泽发, 吴震宇, 卢祥, 等. 抗拉强度空间变异性对重力坝地震开裂的影响分析[J]. 工程科学与技术, 2019, 51(4): 116-124.
	LI Zefa, WU Zhenyu, LU Xiang, et al. Influence of spatial variability of tensile strength on seismic cracking of gravity dam[J]. Advanced Engineering Sciences, 2019, 51(4): 116-124.
[18]	KIYOHIRO I, DAN M F. Geometrically nonlinear finite element reliability analysis of structural systems. I: Theory[J]. Computers and Structures, 2000, 77(6): 677-691. doi: 10.1016/S0045-7949(00)00010-9 URL
[19]	中国水利水电科学研究院. 水工建筑物抗震设计规范[S]. 北京: 中国电力出版社, 2001.
	China Institute of Water Resources and Hydropower Research. Specifications for seismic design of hydraulic structures[S]. Beijing: China Electric Power Press, 2001.
[20]	秦瑞, 涂小龙, 李烈. 堆石体邓肯-张E-B模型反演参数的敏感性分析[J]. 水利科学与寒区工程, 2018, 1(4): 8-14.
	QIN Rui, TU Xiaolong, LI Lie. Sensitivity analysis of inversion parameters of Duncan-Chang E-B model for rock fill[J]. Water Conservancy Science and Cold Region Engineering, 2018, 1(4): 8-14.
[21]	杨玉生, 刘小生, 赵剑明, 等. 邓肯E-B模型参数敏感性分析[J]. 中国水利水电科学研究院学报, 2013, 11(2): 81-86.
	YANG Yusheng, LIU Xiaosheng, ZHAO Jianming, et al. Parameter sensitivity analysis of Duncan E-B model[J]. Hydro Science and Cold Zone Engineering, 2013, 11(2): 81-86.
[22]	陈辉, 刘东海, 戚蓝. 改进的堆石坝变形计算参数敏感性分析方法[J]. 河海大学学报(自然科学版), 2017, 45(5): 406-412.
	CHEN Hui, LIU Donghai, QI Lan. Improved sensitivity analysis method for calculating the deformation parameters of the rock-fill dam[J]. Journal of Hohai University (Natural Sciences), 2017, 45(5): 406-412.
[23]	陈辉, 刘东海, 戚蓝. 数字化施工下堆石坝模型参数空间估计及赋值[J]. 岩土工程学报, 2018, 40(2): 278-286.
	CHEN Hui, LIU Donghai, QI Lan. Spatial estimation and assignment of finite element model parameters for rockfill dams under digitized construction[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(2): 278-286.
[24]	费康, 张建伟. ABAQUS在岩土工程中的应用[M]. 北京: 中国水利水电出版社, 2010.
	FEI Kang, ZHANG Jianwei. Application of ABAQUS in geotechnical engineering[M]. Beijing: China Water Resources and Hydropower Press, 2010.

材料参数	混合卵石层	均值	标准差	变异系数	分布方式
R_f	0.74	—	—	—	—
K	1062.8	1062.8	158.53	0.15	对数正态
n	0.33	—	—	—	—
K_b	681.3	—	—	—	—
m	0.08	—	—	—	—
φ₀/(°)	51.04	51.04	7.84	0.15	对数正态
Δφ/(°)	9.1	—	—	—	—
c/kPa	0	—	—	—	—
ρ/(g·cm^-3)	1.30	1.30	0.13	0.10	对数正态

方向	特征点A			特征点B			特征点C
方向	U_ave/cm	C_v/%	P/%	U_ave/cm	C_v/%	P/%	U_ave/cm	C_v/%	P/%
横河向	2.464	0.48	98.0	0.875	11.39	43.2	1.777	1.26	95.8
顺河向	2.491	0.32	98.0	1.815	3.66	4.2	1.774	0.79	97.0
竖直向	2.543	0.09	97.6	2.522	0.26	4.4	1.710	0.26	96.2

检验		特征点A			特征点B			特征点C
检验		U₁	U₂	U₃	U₁	U₂	U₃	U₁	U₂	U₃
渐近显著性(双尾)		0.179	0.128	0.371	0.325	0.325	0.152	0.474	0.929	0.592
MC显著性(双尾)		0.212	0.142	0.418	0.372	0.372	0.178	0.486	0.976	0.652
95%置信区间	上限	0.176	0.111	0.375	0.330	0.330	0.144	0.442	0.963	0.610
95%置信区间	下限	0.248	0.173	0.461	0.414	0.414	0.212	0.530	0.989	0.694

应力	特征点A			特征点B			特征点C
应力	S_ave/MPa	C_v/%	P/%	S_ave/MPa	C_v/%	P/%	S_ave/MPa	C_v/%	P/%
大主应力	1.228	4.9	20	1.003	4.4	38	1.219	14.9	29
小主应力	-1.053	7.7	96	-0.994	10.1	95	-0.575	6.9	97

检验		特征点A		特征点B		特征点C
检验		S_min	S_max	S_min	S_max	S_min	S_max
渐近显著性(双尾)		0.858	0.210	0.371	0.858	0.244	0.858
MC显著性(双尾)		0.892	0.202	0.364	0.892	0.236	0.892
95%置信区间	上限	0.865	0.167	0.322	0.865	0.199	0.865
95%置信区间	下限	0.919	0.237	0.406	0.919	0.273	0.919