(1. School of Civil and Architectural Engineering,Shandong University of Technology,Zibo,Shandong 255049,China;2. Key Laboratory for Special Area Highway Engineering of Ministry of Education,Chang'an University,Xi'an,Shaanxi 710054,China;3. School of Transportation and Vehicle Engineering,Shandong University of Technology,Zibo,Shandong 255049,China)
Abstract:Seismic damages of embankment occurred widely in strong earthquakes. It is very important to carry out the probability risk assessment and to put forward a reasonable risk management method to improve the anti-seismic capacity of highway and the capacity of regional damage prevention and mitigation. The seismic damage levels of embankment were classified and the seismic damage parameters were selected. The relationship between the seismic damage levels and seismic damage parameters was established. The embankment at K1125+470 of the expressway of Xi?an to Baoji was studied with the seismic hazard assessment to highway based on CPSHA,the seismic fragility assessment on embankment based on IDA and PSDA,and the seismic probability risk assessment on embankment based on the hazard curve. The acceptable risk and the risk management method for embankment seismic damage were put forward. The positive effect of the retaining wall on the anti-seismic performance was verified. The seismic hazard assessment results of Xi'an-Baoji segment in Lianyungang-Huoerguosi expressway is higher than that of the fourth generation seismic zoning map,which is consistent with the reality of seismic activity in Weihe fault basin. When PGA(PGA is peak ground acceleration) reaches 0.6 g,the probability exceeding the severe damage is 65.910%,when PGA reaches 0.8 g,the probability exceeding the severe damage is 99.995%,indicating that the embankment is prone to seismic damage. The risk probability of exceeding the severe damage in the next 50 years is 36.46% and the probability of mainly intact and minor damage is 28.49%. The probability risk being 40% exceeding the severe damage in the next 50 years is regarded as the acceptable. The risk management method is suitable for the anti-seismic design of new embankments and anti-seismic strengthening of existing embankments. In the next 50 years,the probability risk exceeding the severe damage of the embankment with a retaining wall is 15.29% lower than the one without a retaining wall. The probability of mainly intact and minor damage is 15.62% higher than the one without a retaining wall.
[1] 王 建,姚令侃,陈 强. 汶川地震路堤成灾模式及土工格栅加筋变形控制研究[J]. 岩石力学与工程学报,2010,29(1):3 387–3 394.(WANG Jian,YAO Lingkan,CHEN Qiang. Research on failure mode of road embankment in Wenchuan great earthquake and deformation control of georgic reinforcement[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(1):3 387–3 394.(in Chinese))
[2] 廖 燚. 汶川地震公路路基震害调查分析及易损性研究[硕士学位论文][D]. 成都:西南交通大学,2012.(LIAO Yi. Analysis of seismic hazard investigation and study on vulnerability of highway subgrades in Wenchuan Earthquake[M. S. Thesis][D]. Chengdu:Southwest Jiaotong University,2012.(in Chinese))
[3] 尹 超. 平原区路堤地震灾害风险评价研究[博士学位论文][D].西安:长安大学,2015.(YIN Chao. Study on seismic risk assessment of embankment in plain areas[Ph. D. Thesis][D]. Xi?an:Chang?an University,2015.(in Chinese))
[4] CORNELL A C. Engineering seismic risk analysis[J]. Bulletin of the Seismological Society of America,1968,(58):1 583–1 606.
[5] PAN H,JIN Y,HU Y X. Discussion about the relationship between seismic belt and seismic statistical zone[J]. ACTA Seismic Sinica,2003,16(3):323–329.
[6] 中华人民共和国国家标准编写组. GB18306—2001中国地震动参数区划图[S]. 北京:地震出版社,2001.(The National Standards Compilation Group of People?s Republic of China. GB18306—2001 The ground motion parameter zoning map of China[S]. Beijing:Seismological Press,2001.(in Chinese))
[7] LIU J W,WANG Z M,XIE F R,et al. Seismic hazard assessment for greater North China from historical intensity observations[J]. Engineering Geology,2013,164:117–130.
[8] VAMVATSIKOS D,CORNELL A C. Incremental dynamic analysis[J]. Earthquake Engineering and Structural Dynamics,2002,31(3):491–514.
[9] HWANG H,刘晶波. 地震作用下钢筋混凝土桥梁结构易损性分析[J]. 土木工程学报,2004,37(6):47–51.(HWANG H,LIU Jingbo. Seismic fragility analysis of reinforced concrete bridges[J]. China Civil Engineering Journal,2004,37(6):47–51.(in Chinese))
[10] WANG Q A,WU Z Y,LIU S K. Seismic fragility analysis of highway bridges considering multi dimensional performance limit state[J]. Earthquake Engineering and Engineering Vibration,2012,(11):185–193.
[11] 宁超列. 基于概率密度演化理论的地震概率安全评估[J]. 同济大学学报:自然科学版,2015,43(3):325–331.(NING Chaolie. Seismic probability safety assessment based on probability density evolution method[J]. Journal of Tongji University:Natural Science,2015,43(3):325–331.(in Chinese))
[12] YOSHIHISA M,FUMIO Y,KIKU M. Fragility curves for expressway embankments based on damage datasets after recent earthquakes in Japan[J]. Soil Dynamics and Earthquake Engineering,2010,30(11):1 158–1 167.
[13] YIANNIS T,NIKOS D L,PRODROMOS N. Simulating the seismic response of embankments via artificial neural networks[J]. Advances in Engineering Software,2008,40(8):640–651.
[14] MELANI A,KHARE R K,DHAKAL R P. Seismic risk assessment of low rise RC frame structure[J]. Structures,2016,(5):13–22.
[15] LUISA B,ANNA S,PAOLA S. Structural risk assessment of corroding RC structures under seismic excitation[J]. Construction and Building Materials,2012,30:803–813.
[16] 谷 音,郑文婷,卓卫东. 基于LHS-MC方法的矮塔斜拉桥地震风险概率分析[J]. 工程力学,2013,30(8):96–102.(GU Yin,ZHENG Wenting,ZHUO Weidong. Analysis of seismic risk probability assessment of lower tower cable stayed bridge based on LHS-MC method[J]. Engineering Mechanics,2013,30(8):96–102. (in Chinese))
[17] 吕大刚,于晓辉. 基于地震易损性解析函数的概率地震风险理论研究[J]. 建筑结构学报,2013,34(10):41–48.(LU Dagang,YU Xiaohui. Theoretical study of probabilistic seismic risk assessment based on analytical functions of seismic fragility[J]. Journal of Building Structures,2013,34(10):41–48.(in Chinese))
[18] 陈 鲲,高孟潭. 中国大陆地区一般建设工程抗地震倒塌风险研究[J]. 建筑结构学报,2015,36(1):23–29.(CHEN Kun,GAO Mengtan. Controlling seismic collapse risk of general construction projects in China mainland[J]. Journal of Building Structure,2015,36(1):23–29.(in Chinese))
[19] 中华人民共和国国家标准编写组. GB/T24336—2009 生命线工程地震破坏等级划分[S]. 北京:地震出版社,2009.(The National Standards Compilation Group of People?s Republic of China. GB/T24336—2009 Seismic damage hierarchies of lifeline engineering[S]. Beijing:Seismological Press,2009.(in Chinese))
[20] 宗 亮,王元清,杨赛霓,等. 基于HAZUS平台的中国公路桥梁震害评估模型研究[J]. 土木工程学报,2014,47(增1):263–268.(ZONG Liang,WANG Yuanqing,YANG Saini,et al. Research on highway bridges seismic damage assessment system for China based on HAZUS[J]. China Civil Engineering Journal,2014,47(Supp.1):263–268.(in Chinese))
[21] 中华人民共和国国家标准编写组. GB17741—2005 工程场地地震安全性评价[S]. 北京:地震出版社,2005.(The National Standards Compilation Group of People?s Republic of China. GB17741—2005 Seismic safety assessment of engineering site[S]. Beijing:Seismological Press,2005. (in Chinese))
[22] LI Z X,LI Y,LI N. Vector-intensity measure based seismic vulnerability analysis of bridge structures[J]. Earthquake Engineering and Engineering Vibration,2014,13(4):695–705.
[23] KARTHIK R,JAMIE P,REGINALD D R. Temporal evolution of seismic fragility curves for concrete box-girder bridges in California engineering[J]. Structures,2015,97:29–46.
[24] 肖明洋. 高墩混凝土连续刚构桥地震易损性分析[硕士学位论文][D]. 成都:西南交通大学,2013.(XIAO Mingyang. Seismic vulnerability analysis for concrete continuous rigid bridge with high piers[M. S. Thesis][D]. Chengdu:Southwest Jiaotong University,2013.(in Chinese))
[25] WU D,TESFAMARIAM S,STIEMER S F,et al. Seismic fragility assessment of RC frame structure designed according to modern Chinese code for seismic design of buildings[J]. Earthquake Engineering and Engineering Vibration,2012,11(3):331–342.
[26] 齐洪亮. 公路自然灾害评价系统的研究[博士学位论文][D]. 西安:长安大学,2011.(QI Hongliang. Study on highway natural disaster assessment system[Ph. D. Thesis][D]. Xi?an:Chang?an University,2011.(in Chinese))
[27] 杨海清,杨秀明,周小平. 地震作用下挡土墙主动土压力及转动位移分析[J]. 岩土力学,2012,33(增2):139–144.(YANG Haiqing,YANG Xiuming,ZHOU Xiaoping. Analysis of active earth pressure and rotational displacement at retaining wall under seismic loads[J]. Rock and Soil Mechanics,2012,33(Supp.2):139–144.(in Chinese))
[28] SUN Z G,WANG D S,DU X L,et al. Rapid repair of severely earthquake damaged bridge piers with flexural shear failure mode[J]. Earthquake Engineering and Engineering Vibration,2011,10(4):553–567.