免地震波动追踪的覆盖层场地时域地震响应计算方法研究

doi:10.3724/1000-6915.jrme.2025.0382

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (526 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract The time-domain seismic response analysis of sites is fundamental for investigating the true nonlinear seismic behavior of overburden sites. Typically, the time-domain seismic response is derived from the Fourier inverse transformation of frequency-domain solutions. This process involves wave response superposition, which inherently limits frequency-domain methods from accurately capturing the true nonlinear seismic response of the soil. In this study, we propose a recursive method for analyzing the time-domain seismic response of overburden sites without the need for wave tracing, based on the theoretical solution of the wave equation and wave propagation characteristics. This method employs the reflected and transmitted waves incident at each soil interface to construct both up-going and down-going waves at these interfaces, treating each soil interface as a wave source. The up-going and down-going waves at each soil interface for the current moment are generated by the reflected and transmitted waves from incident waves that originated from neighboring soil interfaces at the previous moment. Ultimately, these up-going and down-going waves at the soil interfaces are utilized to determine the free-field time-domain seismic response at any point within the field. The proposed method avoids tracking the reflected and transmitted waves at each soil interface, significantly reducing computational effort and simplifying the wave propagation process. Numerical examples validate the applicability and accuracy of this method, while also exploring the impact of overburden thickness and soft interlayers on seismic wave propagation in overburden sites. The results indicate that the overburden layer significantly amplifies acceleration within a specific depth range from the surface, while exhibiting minimal amplification below this depth. Furthermore, the soft soil interlayer within the overburden demonstrates a notable energy absorption effect on seismic wave energy. This proposed method establishes a foundation for the true nonlinear seismic response analysis of overburden sites.

Key words： soil mechanics overburden site wave propagation wave-tracking-free recursive method step-by step time domain response

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	LI Yanpeng1*
	HU Zhiqiang2
	LI Zhiyuan3
	LIN Gao2

Cite this article:

LI Yanpeng1*,HU Zhiqiang2,LI Zhiyuan3, et al. Wave-tracking-free calculation method for time-domain seismic response of overburden sites[J]. , 2026, 45(S1): 113-119.

URL:

https://rockmech.whrsm.ac.cn/EN/10.3724/1000-6915.jrme.2025.0382 OR https://rockmech.whrsm.ac.cn/EN/Y2026/V45/IS1/113

[1] 孔宪京，陈健云，邹德高. 高坝抗震安全理论发展趋势研究[J]. 水力发电学报，2020，39(7)：1–11.(KONG Xianjing，CHEN Jianyun，ZOU Degao. Study on development trend of seismic safety theory for high dams[J]. Journal of Hydroelectric Engineering，2020，39(7)：1–11.(in Chinese))
[2] THOMSON W T. Transmission of elastic waves through a stratified solid medium[J]. Journal of Applied Physics，1950，21(2)：89–93.
[3] IDRISS I M，SUN J I. User?s manual for SHAKE91：A computer program for conducting equivalent linear seismic response analyses of horizontally layered soil deposits[R]. Davis，CA，USA：Center for Geotechnical Modeling，Department of Civil and Environmental Engineering，University of California 1992.
[4] BARDET J P，ICHII K，LIN C H. EERA：A computer program for equivalent-linear earthquake site response analyses of layered soil deposits[R]. Los Angeles，CA，USA：Department of Civil Engineering，University of Southern California，2000.
[5] 袁晓铭，李瑞山，孙锐. 新一代土层地震反应分析方法[J]. 土木工程学报，2016，49(10)：95–102.(YUAN Xiaoming，LI Ruishan，SUN Rui. A new generation method for earthquake response analysis of soil layers[J]. China Civil Engineering Journal，2016，49(10)：95–102.(in Chinese))
[6] 李志远，钟红，胡志强，等. 局部褶皱对层状地基马蹄形孔洞散射的影响分析[J]. 工程力学，2020，37(8)：237–245.(LI Zhiyuan，ZHONG Hong，HU Zhiqiang，et al. Analysis of the influence of local folds on the scattering of horseshoe cavity in a layered half-space[J]. Engineering Mechanics，2020，37(8)：237–245.(in Chinese))
[7] WOLF J P. Dynamic soil-structure interaction [M]. Englewood-Cliffs：Prentice Hall Int.，1985.
[8] 尤红兵，赵凤新，荣棉水. 地震波斜入射时水平层状场地的非线性地震反应[J]. 岩土工程学报，2009，31(2)：234–240.(YOU Hongbin，ZHAO Fengxin，RONG Mianshui. Nonlinear seismic response of horizontal layered site due to inclined wave[J]. Chinese Journal of Geotechnical Engineering，2009，31(2)：234–240.(in Chinese))
[9] 陈少林，郭琪超，周国良. 核电结构土–结相互作用分析分区混合计算方法[J]. 力学学报，2020，52(1)：258–282.(CHEN Shaolin，GUO Qichao，ZHOU Guoliang. Partitioned hybrid method for soil-structure interaction analysis of nuclear power structure[J]. Chinese Journal of Theoretical and Applied Mechanics，2020，52(1)：258–282.(in Chinese))
[10] 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)：1 378–1 385.(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)：1 378–1 385.(in Chinese))
[11] 刘晶波，王艳. 成层介质中平面内自由波场的一维化时域算法[J]. 工程力学，2007，24(7)：16–22.(LIU Jingbo，WANG Yan. A 1D time-domain method for in-plane wave motion of free field in layered media [J]. Engineering Mechanics，2007，24(7)：16–22.(in Chinese))
[12] 杜修力，许紫刚，许成顺，等. 基于等效线性化的土–地下结构整体动力时程分析方法研究[J]. 岩土工程学报，2018，40(12)：2 155–2 163.(DU Xiuli，XU Zigang，XU Chengshun，et al. Time-history analysis method for soil-underground structure system based on equivalent linear method[J]. Chinese Journal of Geotechnical Engineering，2018，40(12)：2 155–2 163.(in Chinese))
[13] 韩鲁，宋志强，王飞，等. 基于设计地震动的覆盖层场地空间自由场构建[J]. 工程力学，2022，39(7)：137–146.(HAN Lu，SONG Zhiqiang，WANG Fei，et al.. Construction of free fields in bedrock-overburden site spaces based on designed ground motions[J]. Engineering Mechanics，2022，39(7)：137–146.(in Chinese))
[14] 杨笑梅，赖强林. 二维土层地震反应分析的时域等效线性化解法[J]. 岩土力学，2017，38(3)：847–856.(YANG Xiaomei，LAI Qianglin. Time-domain equivalent linearization method for two-dimensional seismic response analysis[J]. Rock and Soil Mechanics，2017，38(3)：847–856.(in Chinese))
[15] 杨正权，刘小生，赵剑明，等. 考虑深厚覆盖土层结构特性的场地地震反应分析研究[J]. 水力发电学报，2015，34(1)：175–182. (YANG Zhengquan，LIU Xiaosheng，ZHAO Jianming，et al. Study on ground seismic response analysis considering structural characteristics of deep overburden layer[J]. Journal of Hydroelectric Engineering，2015，34(1)：175–182.(in Chinese))