|本期目录/Table of Contents|

[1]赵 楠,姜云木,刘章军*. 海底地震动过程的降维建模 [J].武汉工程大学学报,2025,47(04):418-425.[doi:10.19843/j.cnki.CN42-1779/TQ.202311006]
　ZHAO Nan,JIANG Yunmu,LIU Zhangjun*. Dimension-reduced modeling of offshore ground motion processes [J].Journal of Wuhan Institute of Technology,2025,47(04):418-425.[doi:10.19843/j.cnki.CN42-1779/TQ.202311006]
点击复制

海底地震动过程的降维建模
(/HTML)
分享到：

《武汉工程大学学报》[ISSN:1674-2869/CN:42-1779/TQ]

卷:
47
期数:
2025年04期
页码:
418-425
栏目:
智能制造
出版日期:
2025-08-29

文章信息/Info

Title:
Dimension-reduced modeling of offshore ground motion processes
文章编号:
1674 - 2869（2025）04 - 0418 - 08
作者:
1. 武汉工程大学土木工程与建筑学院，湖北 武汉 430074;
2. 大连理工大学海岸和近海工程国家重点实验室，辽宁 大连 116024
Author(s):
1. School of Civil Engineering and Architecture, Wuhan Institute of Technology, Wuhan 430074, China;
2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
关键词:
Keywords:
分类号:
P315.9；TU311.3
DOI:
10.19843/j.cnki.CN42-1779/TQ.202311006
文献标志码:
A
摘要:
基于KIK强震台网的1 325条实测海底强震记录，运用参数识别方法验证了Clough-Penzien谱对于海底地震动的适用性，并结合降维方法，实现海底地震动的降维建模。首先，基于最佳平方逼近理论，以实测平均功率谱为目标值识别Clough-Penzien谱的场地参数，将获得的具有场地参数的Clough-Penzien谱与实测功率谱进行对比，验证了传统Clough-Penzien谱仍适用于海底地震动过程；其次，识别演变功率谱参数并确定演变功率谱参数的最优概率模型；最后，基于随机过程的谱表示-降维模拟方法，用4个基本随机变量精细化模拟海底地震动过程。算例结果表明，海底地震动过程的降维模拟方法仅需生成较少样本，便可达到较高的模拟精度，且该方法具有可重现性。此外，生成的代表性样本集具有概率完备性，可与概率密度演化理论结合，从而为海洋工程的抗震可靠性分析提供有效途径。
Abstract:
Based on 1 325 measured offshore strong ground motion records from the KIK-net strong motion network, the applicability of the Clough-Penzien spectrum to offshore seismic motions using parameter identification methods was verified. A dimension-reduced modeling approach for offshore ground motions was subsequently developed. First, based on the best square approximation theory, the site parameters of the Clough Penzien spectrum were identified using the measured average power spectrum as the target value, and the obtained Clough Penzien spectrum with site parameters was compared with the measured power spectrum, verifying that the conventional Clough Penzien spectrum is still suitable for offshore ground processes. Second, the evolutionary power spectrum parameters were identified and the optimal probability model for the evolutionary power spectrum parameters was determined. Finally, based on the spectral representation dimension-reduced simulation method of random processes, the offshore ground motion process was finely simulated using one basic random variable. The results of the example showed that the dimension-reduced method can achieve high simulation accuracy with minimal samples, showing excellent reproducibility. At the same time, the samples generated by the dimension-reduced method have complete probability assignment, which can be combined with probability density evolution theory, thus providing an effective approach for seismic reliability analysis in marine engineering.

参考文献/References:

[1] 胡进军, 刁红旗, 谢礼立. 海底强地震动观测及其特征的研究进展[J]. 地震工程与工程振动, 2013, 33(6): 1-8.
[2] BOORE D M, SMITH C E. Analysis of earthquake recordings obtained from the seafloor earthquake measurement system (SEMS) instruments deployed off the coast of southern California [J]. Bulletin of the Seismological Society of America, 1999, 89(1): 260-274.
[3] SLEEFE G E. The long-term measurement of strong-motion earthquakes offshore southern California [C]//Offshore Technology Conference. Houston, Texas. OTC, 1990: OTC-6336-MS.
[4] NAKAMURA T, TAKENAKA H, OKAMOTO T, et al. Seismic wavefields in the deep seafloor area from a submarine landslide source [J]. Pure and Applied Geophysics, 2014, 171(7): 1153-1167.
[5] 李飒, 刘鑫, 余建星, 等. 地震作用下海底场地地震动效应研究[J]. 天津大学学报(自然科学与工程技术版), 2018, 51(11): 1171-1180.
[6] CHEN B K, WANG B W, MA Z Q, et al. Influence of seawater depth on offshore ground motion characteristics and seismic responses of sea-crossing cable-stayed bridges [J]. Ocean Engineering, 2023, 280: 114853.
[7] 陈宝魁, 王东升, 李宏男, 等. 海底地震动特性及相关谱研究[J]. 防灾减灾工程学报, 2016, 36(1): 38-43.
[8] HU J J, HU L, JIN C Y, et al. Offshore ground motion models for Arias intensity and cumulative absolute velocity in the Japan trench area [J]. Journal of Earthquake Engineering, 2023, 27(14): 4005-4023.
[9] 胡进军, 郑旭, 郝彦春, 等. 俯冲带地震动特征及其衰减规律探讨[J]. 地球物理学报, 2017, 60(5): 1773-1787.
[10] 姜云木, 阮鑫鑫, 刘章军. 主余震型地震动过程的降维模拟[J]. 振动与冲击, 2021, 40(24): 282-292.
[11] 刘章军, 刘子心, 阮鑫鑫, 等. 地震动随机场的POD降维表达[J]. 中国科学: 技术科学, 2019, 49(5): 589-601.
[12] LIU Z J, LIU W, PENG Y B. Random function based spectral representation of stationary and non-stationary stochastic processes [J]. Probabilistic Engineering Mechanics, 2016, 45: 115-126.
[13] CHEN J B ,LI J. Stochastic dynamics of structures[M]. Singapore: John Wiley & Sons, 2009.
[14] LI J, CHEN J B. The principle of preservation of probability and the generalized density evolution equation [J]. Structural Safety, 2008, 30(1): 65-77.
[15] 中华人民共和国建设部、国家质量监督检验检疫总局. 建筑抗震设计规范（2008年版）: GB 50011—2001[S]. 北京: 中国建筑工业出版社, 2004.
[16] KANAI K. Semi-empirical formula for the seismic characteristics of the ground [J]. Bulletin of the Earthquake Institute,University of Tokyo,1957, 35(2): 309-325.
[17] 胡聿贤, 周锡元. 弹性体系在平稳和平稳化地面运动下的反应[C]. 地震工程研究报告集第1集. 北京: 科学出版社, 1962: 33-50.
[18] CLOUGH R W, PENZIEN J. Dynamic of structures [M]. New York: McGraw-HILL Inc, 1993.
[19] PRIESTLEY M B. Evolutionary spectra and non-stationary processes [J]. Journal of the Royal Statistical Society： Series B (Methodological),1965， 27(2): 204-237.
[20] BOGDANOFF J L, GOLDBERG J E, BERNARD M C. Response of a simple structure to a random earthquake-type disturbance [J]. Bulletin of the Seismological Society of America, 1961, 51(2): 293-310.
[21] VANMARCKE E H. Structural response to earthquakes[M]// Developments in Geotechnical Engineering. Amsterdam: Elsevier, 1976: 287-337.
[22] LEGATES D R, MCCABE JR G J. Evaluating the use of “goodness-of-fit” Measures in hydrologic and hydroclimatic model validation [J]. Water Resources Research, 1999, 35(1): 233-241.
[23] 刘子心, 姜云木, 刘章军, 等. 基于实测强震记录的主余震向量过程降维模拟[J]. 地震工程与工程振动, 2022, 42(4): 179-190.
[24] KOTZ S, NADARAJAH S. Extreme value distributions. theory and applications [M]. Upper Saddle River: Prentice Hall, 2000.
[25] SCHWARZ G. Estimating the dimension of a model [J]. The Annals of Statistics, 1978, 6(2): 461-464.
[26] 姜云木. 主余震型地震动作用下高墩大跨刚构桥的随机动力响应与可靠度研究[D]. 武汉: 武汉工程大学, 2022.
[27] LI J, CHEN J B. The number theoretical method in response analysis of nonlinear stochastic structures [J]. Computational Mechanics,2007,39(6):693-708.

相似文献/References:

备注/Memo

备注/Memo:
收稿日期：2023-11-13
基金项目：国家自然科学基金（52478557）
作者简介：赵 楠，硕士研究生。Email：landunan@126.com
*通信作者：刘章军，博士，教授。Email：liuzhangjun73@aliyun.com
引文格式：赵楠，姜云木，刘章军. 海底地震动过程的降维建模［J］. 武汉工程大学学报，2025，47（4）：418-425.
更新日期/Last Update: 2025-08-29