Seismic response analysis of a multi-layered sedimentary valley in a layered half-space in time domain
BA Zhenning1,2,WANG Ying1,LIANG Jianwen1,2
1.Department of Civil Engineering, Tianjin University, Tianjin 300072, China;
2.Key Laboratory of Coast Civil Structure Safety of the Ministry of Education, Tianjin University, Tianjin 300350, China
Abstract:The two-dimensional seismic response in time domain of the multi-layered sedimentary valley is investigated by using a multi-domain indirect boundary element method. In this approach, the seismic response is calculated in frequency domain firstly, and then the frequency-domain calculations are superposed and transformed back into the time-domain by the fast Fourier transform method. Multi-domain IBEM uses the full-space Green’s functions and the layered half-space Green’s functions to construct the scattered wave fields in the sediment enclosed domains and in the open semi-infinite space domain, respectively. This method can inherit the advantages of both Green’s functions. On the basis of verifying the validity of this method, numerical results of the typical layered valleys under incident El Centro wave are given. This paper focuses on the effect of the variation of sedimentary sequence on the peaks and response spectrum of the seismic ground motion nearby valley. The results show that the variation of sedimentary leads to observable differences in the seismic accelerations and the seismic response spectra. Specifically, when sedimentary layers are in normal sequence, the seismic acceleration peak is the largest, while the corresponding response spectrum peak period is the smallest; When sedimentary layers are in inverted sequence, the seismic acceleration peak is the smallest, while the corresponding response spectrum peak period is the largest. In addition, inverted-sequence sediment weakens the energy of the intermediate- and high-frequency waveband. Comparing with normal-sequence sediment, inverted-sequence sediment appears to be a good shock insulation.
巴振宁1,2,王莹1,梁建文1,2. 层状半空间中多层沉积谷地时域地震响应分析[J]. 振动与冲击, 2020, 39(18): 78-88.
BA Zhenning1,2,WANG Ying1,LIANG Jianwen1,2. Seismic response analysis of a multi-layered sedimentary valley in a layered half-space in time domain. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(18): 78-88.
[1] 李平, 薄景山, 李孝波, 肖瑞杰. 安宁河河谷及邛海地区土层场地对地震动的放大作用[J]. 岩土工程学报, 2016, 38(02): 362-369.
LI Ping, BO Jingshan, LI Xiaobo, XIAO Ruijie. Amplification effect of soil sites on ground motion in Anning River valley and Qionghai Lake area[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(02): 362-369.
[2] Trifunac M D. Surface motion of a semi-cylindrical Alluvial Valley for incident plane SH waves[J]. Bulletin of the Seismological Society of America, 1971, 61(6): 1755-1770.
[3] 袁晓铭, 廖振鹏. 圆弧形凹陷地形对平面SH波散射问题的级数解答[J]. 地震工程与工程振动, 1993, 13(2): 1-11.
YUAN Xiaoming, LIAO Zhenpeng. Series solution for scattering of plane SH waves by a canyon of circular-arc cross section[J]. Earthquake Engineering and Engineering Dynamics, 1993, 13(2): 1-11. (in Chinese)
[4] 梁建文, 张郁山, 顾晓鲁等. 圆弧形层状沉积河谷场地在平面SH波入射下动力响应分析[J]. 岩土工程学报, 2000, 22(4): 396-401.
Liang Jianwen, Zhang Yushan, Gu Xiaolu, et al. Surface motion of circular-arc layered alluvial valleys for incident plane SH waves[J]. Chinese Jounal of Geotechnical Engineering, 2000, 22(4): 396-401 ( in Chinese)
[5] Boore D M, Larner K L, Aki K. Comparison of two independent methods for the solution of wave-scattering problems: response of a sedimentary basin to vertically incident SH waves[J]. Journal of Geophysical Research, 1971, 76(2): 558-569.
[6] Bakır B S, Özkan M Y, Cılız S. Effects of basin edge on the distribution of damage in 1995 Dinar, Turkey earthquake[J]. Soil Dynamics & Earthquake Engineering, 2002, 22(4): 335-345.
[7] Sánchez-Sesma F J. An indirect boundary element method applied to simulate the seismic response of alluvial valleys for incident P, S and Rayleigh waves[J]. Earthquake Engineering & Structural Dynamics, 2010, 22(4): 279-295.
[8] Kawase H, Aki K. A study on the response of a soft basin for incident S, P, and Rayleigh waves with special reference to the long duration observed in Mexico City[J]. Bulletin of the Seismological Society of America, 1989, 79(5): 1361-1382.
[9] 金峰, 张楚汉, 王光纶. 半椭圆形河谷上沉积层地震响应研究[J]. 清华大学学报, 1993, 33(5): 23-30.
JIN Feng, ZHANG Chuhan, WANG Guanglun. Seismic response of alluvial soil deposit on a semi-elliptical canyon[J]. Journal of Tsinghua University, 1993, 33(5): 23-30. (in Chinese).
[10] 李铁飞. 沉积环境对地震动场地效应的影响研究[D]. 中国地震局地球物理研究所, 2014: 93-101.
LI Tiefei. Study of the influence of sediment environment on seismic site effect[D]. Institute of Geophysics, China Earthquake Administration, 2014: 93-101.
[11] 梁建文, 严林隽, Lee V W. 圆弧形层状沉积谷地对入射平面P波的散射解析解[J]. 地震学报, 2001, 23(2): 167-184.
Liang Jianwen, Yan Linjun, Lee V W. Scattering of P waves by circular-arc layered alluvial valleys ananalytical solution[J]. Acta Seismologica Sinica, 2001, 23(2): 167-184. (in Chinese)
[12] 梁建文, 严林隽, Lee V W. 圆弧形层状沉积谷地对入射平面SV波散射解析解[J]. 固体力学学报, 2003, 24(2): 235-243.
Liang Jianwen, Yan Linjun, Lee V W. Diffraction of plane SV waves by a circular-arc layered alluvial valley: analytical solution[J]. Acta Mechanica Solida Sinica, 2003, 24(2): 235-243. (in Chinese)
[13] 杨彩红, 梁建文, 张郁山. 含多个圆弧状沉积层河谷场地对平面SH波散射问题的解析解[J]. 地震工程与工程振动, 2010, 30(3): 22-3.
Yang Caihong, LiangJianwen, Zhang Yushan. Analytical solution to the scattering problem of valley site containing multiple circular-arc alluvial layers in the case of plane SH waves incidence, Journal of Earthquake Engineering and Engineering Vibration[J]. Earthquake Engineering and Engineering Dynamics, 2010, 30(3): 22-30. (in Chinese)
[14] 张郁山. 圆弧状多层沉积谷地在平面P波入射下稳态响应的解析解[J]. 地球物理学报, 2008, 51(3): 869-880.
Zhang Yushan. Analytical solution for the stationary response of alluvial valleys containing multiple circular- arc layers to incident plane P waves[J]. Chinese Journal Geophysics, 2008, 51(3): 869-880. (in Chinese)
[15] 张郁山. 圆弧状多层沉积谷地在平面SV波入射下的动力响应[J]. 地球物理学报, 2009, 52(6): 1547-1555.
Zhang Yushan. Dynamic response of alluvial valley containing multiple circular-arc layers incident by plane SV waves[J]. Chinese Journal Geophysics, 2009, 52(6): 1547-1555. (in Chinese)
[16] 张郁山. 圆弧状多层沉积谷地在Rayleigh波入射下动力响应的解析解[J]. 地球物理学报, 2010, 53(09): 2129-2143.
Zhang Yanshan. Analytical solution of dynamic response of circular-arc-shaped multi-layered valley due to incidence of Rayleigh waves[J]. Chinese Journal Geophysics, 2010, 53(9): 2129-2143. (in Chinese)
[17] 李伟华, 赵成刚. 含软夹层的层状沉积河谷场地的地震动力响应分析[J]. 岩土力学, 2009, 30(01): 45-51+58.
LI Weihua, ZHAO Chenggang. Analysis of seismic dynamic response of layered alluvial valleys with soft interlayer[J]. Rock and Soil Mechanics, 2009, 30(01): 45-51+58.
[18] 刘中宪, 黄磊. 含软夹层层状沉积谷地对P、SV和Rayleigh波的散射[J]. 地震工程与工程振动, 2015, 35(01): 105-117.
LIU Zhongxian, HUANG Lei. P, SV and Rayleigh waves scattering in layered alluvial valleys with soft interlayer[J]. Journal of Earthquake Engineering and Engineering Vibration, 2015, 35(01): 105-117.
[19] 巴振宁, 印枭, 梁建文. 沉积层序对谷地场地地震反应的影响-SH波入射[J]. 土木工程学报, 2017, 50(1): 91-103.
BA Zhenning, LIANG Jianwen. Effects of sedimentary sequence on the seismic response of valley sites-incident SH waves[J]. China Civil Engineering Journal, 2017, 50(1): 91-103.
[20] Sánchez-Sesma F J, Campillo M. Diffraction of P, SV, and Rayleigh waves by topographic features: A boundary integral formulation[J]. Bulletin of the Seismological Society of America, 1991, 81(6):2234-2253.
[21] Wolf J P. Dynamic Soil-Structure Interaction[M]. Englewood Cliffs: Prentice-Hall, 1985: 112-131.
[22] 大崎顺彦. 地震动的谱分析入门[M]. 吕敏申, 谢礼立译. 北京: 地震出版社, 1980: 21-55.
OHSAKI Y. Introduction to the spectral analysis of ground motion[M]. Translated by LV Minshen, XIE Lili. Beijing: Earthquake Press, 1980: 21-55. (in Chinese)
[23] 巴振宁, 梁建文. 平面SV波在层状半空间中沉积谷地周围的散射[J]. 地震工程与工程振动, 2011, 31(3): 18-26.
BA Zhenning, LIANG Jianwen. Diffraction of plane SV waves around an alluvial valley in layered half-space[J]. Journal of Earthquake Engineering and Engineering Vibration, 2011, 31(3): 18-26. (in Chinese)
[24] Bardet J P, Ichii K, Lin C H. EERA: a computer program for equivalent-linear earthquake site response analyses of layered soil deposits[M]. University of Southern California, Department of Civil Engineering, 2000.
[25] 梁建文, 巴振宁. 弹性层状半空间中沉积谷地对入射平面SH波的放大作用[J]. 地震工程与工程振动, 2007, 27(3): 1-9.
Liang Jianwen, Ba Zhenning. Surface motion of an alluvial valley in a layered half-space for incident plane SH waves[J]. Journal of Earthquake Engineering and Engineering Vibration, 2007, 27(3): 1-9. (in Chinese)