基于H/V谱比法的场地卓越周期及其与地震动参数的关系

李小军; 刘浩楠; 荣棉水; 刘培玄

doi:10.11899/zzfy20260042

基于H/V谱比法的场地卓越周期及其与地震动参数的关系

doi: 10.11899/zzfy20260042

1.
北京工业大学, 桥梁工程安全与韧性全国重点实验室, 北京 100124
2.
中国地震灾害防御中心, 北京 100029

基金项目: 国家自然科学基金项目（U2539204）

详细信息

作者简介:
李小军，男，生于1965年。研究员，从事地震工程研究。E-mail：beerli@vip.sina.com

中图分类号: P315.9
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- 文章访问数: 16
- HTML全文浏览量: 13
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- 被引次数: 0
出版历程
- 收稿日期: 2026-02-14
- 录用日期: 2026-05-13
- 修回日期: 2026-04-03
- 网络出版日期: 2026-10-12

Site Predominant Period Based on H/V Spectral Ratio Method and Its Relationship with Seismic Motion Parameters

1.
State Key Laboratory of Bridge Engineering Safety and Resilience, Beijing University of Technology, Beijing 100124
2.
China Earthquake Disaster Prevention Center, Beijing 100029

摘要

摘要: 局部场地条件是影响地震动特征以及震害分布的关键性因素，而场地周期值被用于表征场地条件对地震动特性的影响，并应用于场地类别划分。本文探讨了基于地震动记录的水平与竖向傅里叶谱比（H/V谱比）法用于场地周期确定的有效性，利用日本KiK-net台网中31个台站的强震动记录计算其H/V谱比曲线，分析了场地卓越周期与场地地震动峰值加速度（PGA）、震级和震中距等参数的关系。结果表明，不同类别场地的谱比曲线特征差异显著，H/V谱比法能有效识别场地的卓越周期；在中远场地震动条件下，H/V谱比曲线形态稳定，受震级和震中距影响较小，展示了H/V谱比法识别场地卓越周期的可靠性；场地卓越周期随PGA增大向更大值偏移，体现了土体的非线性反应效应。考虑土体非线性影响，提出了基于地震动强度的场地卓越周期动态修正方法。研究结果可供基于场地周期值进的场地类别划分方法考虑场地土非线性影响提供参考。
- 场地分类 /
- H/V谱比法 /
- 卓越周期 /
- 地震动参数 /
- 土体非线性效应
Abstract: Local site conditions are critical factors affecting the ground motion characteristics and the distribution of earthquake damage. Site period values are used to characterize the influence of site conditions on ground motion properties and are applied in site classification. To address these issues, this paper investigated the effectiveness of the horizontal-to-vertical Fourier spectrum ratio (H/V spectral ratio) method based on strong motion records in determining and classifying site periods, and calculated the H/V ratio curves by utilizing strong motion records from 31 stations in Japan's KiK-net seismic network, and analyzed the relationship between site predominant period and peak ground acceleration (PGA), earthquake magnitude, and epicentral distance. Results indicate that (1) the H/V spectral ratio method effectively identifies the site predominant period, with significant differences in spectral ratio curve characteristics across site categories. (2) Under mid-to-long-distance seismic motion conditions, the H/V spectral ratio curve exhibits stable morphology with minimal influence from earthquake magnitude and epicentral distance, validating the method's reliability. (3) Site predominant periods shift toward bigger values with increasing PGA, reflecting soil nonlinear response. Considering the nonlinear effect of soil, a dynamic correction method for the site predominant period based on ground motion intensity is proposed. The research results can provide a reference for site classification methods based on site period values to take into account the nonlinear influence of site soil.
- Site classification /
- H/V spectral ratio method /
- Predominant period /
- Seismic motion parameters /
- Nonlinear effect of soil

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图 1 所选取记录的峰值加速度PGA随震级M和震中距的分布

Figure 1. Distribution of the PGAs with earthquake magnitude M and epicentral distance for the selected records

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图 2 31个台站的H/V谱比曲线

Figure 2. Figure H/V spectrum ratio curve of 31 stations

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图 3 不同场地不同PGA分档下的H/V谱比均值

Figure 3. Mean H/V spectral ratios under different playing surfaces and PGA classifications

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图 4 台站震级、震中距分档下的H/V谱比均值

Figure 4. The mean value of H/V spectrum ratio under the station magnitude and epicenter distance

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图 5 场地卓越周期T_g与不同分档PGA、震级、震中距的散点分布

Figure 5. Scatter plot of site excellence period Tg versus different PGA bands, magnitude, and epicenter distance

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图 6 不同PGA强度各类别的的实测卓越周期分布箱线图

Figure 6. Box plot of measured excellent cycle T_g distribution for different PGA strength categories

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表 1 GB 50011—2010《建筑抗震设计规范》中的场地分类方法

Table 1. Site classification method in GB 50011—2010《Code for seismic design of buildings》

岩石的剪切波速或土的等效剪切波速/（m·s⁻¹）	覆盖层厚度/m
岩石的剪切波速或土的等效剪切波速/（m·s⁻¹）	Ⅰ₀	Ⅰ₁	Ⅱ	Ⅲ	Ⅳ
800<V_S	0	—	—	—	—
500<V_S≤800	—	0	—	—	—
250<V_Se20≤500	—	<5	≥5	—	—
150<V_Se20≤250	—	<3	3～50	>50	—
V_Se20≤150	—	<3	3～15	15～80	>80
注：表中V_S表示岩石的剪切波速，V_Se20表示土层计算深度内的等效剪切波速，计算深度取覆盖层厚度和20 m中的较小值。

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表 2 所选取台站的地理信息和场地类别

Table 2. Geographical Information and Site Categories of Selected Stations

编号	台站代码	纬度/(°N)	经度/(°E)	覆盖层厚度/m	V_Se，20/(m·s⁻¹)	中国场地类别	场地基本周期T_B/s	日本场地类别	H/V谱比卓越周期T_P/s
1	AKTH02	39.6634	140.5721	5.2	250	Ⅱ	0.083	SC Ⅰ	0.097
2	AKTH13	39.9819	140.4072	4	130	Ⅱ	0.151	SC Ⅰ	0.090
3	AOMH05	40.8564	141.1033	26	204	Ⅱ	0.483	SC Ⅲ	0.246
4	AOMH13	40.5794	141.4451	118	139	Ⅳ	2.146	SC Ⅳ	4.830
5	AOMH16	40.4624	141.0923	64	196	Ⅲ	1.252	SC Ⅳ	0.839
6	AOMH17	40.4624	141.3374	8	196	Ⅱ	0.317	SC Ⅱ	—
7	FKSH11	37.2006	140.3386	34	235	Ⅱ	0.564	SC Ⅲ	2.149
8	FKSH14	37.0264	140.9702	52	219	Ⅲ	0.822	SC Ⅳ	0.944
9	FKSH20	37.4911	140.9871	60	地表4 m范围波速值缺失	—	—	SC Ⅳ	1.721
10	HDKH01	42.7031	142.2296	16	264	Ⅱ	0.319	SC Ⅱ	0.192
11	HDKH04	42.5126	142.0381	26	210	Ⅱ	1.035	SC Ⅳ	4.524
12	IBRH06	36.8809	140.6545	14.2	地表14.2 m范围波速值缺失	地表14.2 m范围波速值缺失	—	SC Ⅰ	0.160
13	IBRH10	36.1112	139.9889	190	110	Ⅳ	4.177	SC Ⅳ	2.979
14	IBRH13	36.7955	140.575	24	287	Ⅱ	0.384	SC Ⅱ	0.266
15	IBRH17	36.0864	140.314	235	272	Ⅱ	3.231	SC Ⅳ	2.386
16	IBUH01	42.8739	141.8191	20	248	Ⅱ	0.619	SC Ⅳ	0.205
17	IWTH02	39.825	141.3826	19	294	Ⅱ	0.258	SC Ⅱ	0.126
18	IWTH06	40.2611	141.1709	6	160	Ⅱ	0.289	SC Ⅱ	0.144
19	IWTH08	40.2686	141.7831	20	238	Ⅱ	0.418	SC Ⅲ	0.299
20	IWTH24	39.1979	141.0118	10	447	Ⅱ	1.146	SC Ⅳ	4.351
21	IWTH27	39.0307	141.532	4	150	Ⅱ	0.107	SC Ⅰ	0.102
22	KMMH01	33.109	130.695	10	329	Ⅱ	0.121	SC Ⅰ	0.125
23	KSRH06	43.22	144.4285	30	279	Ⅱ	1.947	SC Ⅳ	6.438
24	KSRH07	43.1359	144.3274	82	160	Ⅲ	2.148	SC Ⅳ	5.799
25	KSRH10	43.2084	145.1168	36	185	Ⅱ	0.644	SC Ⅳ	0.472
26	MYGH13	38.699	141.418	5	250	Ⅱ	0.184	SC Ⅰ	0.173
27	NIGH11	37.1728	138.744	56	363	Ⅱ	1.405	SC Ⅳ	—
28	NMRH04	43.3978	145.1224	186	142	Ⅳ	2.990	SC Ⅳ	6.272
29	SMNH12	35.1634	132.8558	4	120	Ⅱ	0.133	SC Ⅰ	0.099
30	TCGH12	36.6959	139.9842	50	305	Ⅱ	0.742	SC Ⅳ	4.644
31	TKCH08	42.4865	143.152	36	311	Ⅱ	0.674	SC Ⅳ	0.448

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表 3 场地卓越周期的经验值和标准

Table 3. Experience points and standards for the excellence cycle in venues

规范及手册	场地类别及周期范围				参考的场地类别划分规范	场地分类指标及修正
规范及手册	I	II	Ⅲ	Ⅳ	参考的场地类别划分规范	场地分类指标及修正
《岩土工程试验监测手册》（林宗元，2005）	—	0.1<T_P≤0.4	0.4<T_P≤0.8	T_P>0.8	GB 50011—2010 《建筑抗震设计规范》	20 m土层等效剪切波速V_se、覆盖层厚度。Ⅱ类场地与Ⅲ类场地覆盖层厚度界限分别为15 m和50 m。

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表 4 不同地震动强度下场地卓越周期的取值范围

Table 4. Value range of predominant periods for different ground motion intensity

地震动强度	Ⅰ类场地	Ⅱ类场地	Ⅲ类场地	Ⅳ类场地
10～20 Gal	T_P <0.1 s	0.1 s≤T_P <0.4 s	0.4 s≤T_P<0.8 s	T_P≥0.8 s
20～100 Gal	T_P <0.08 s	0.08 s≤T_P <0.441 s	0.441 s≤T_P<0.876 s	T_P≥0.876 s
>100 Gal	T_P <0.08 s	0.08 s≤T_P<0.483 s	0.483 s≤T_P <0.965 s	T_P≥0.965 s
综合	T_P <0.08 s	0.08 s≤T_P<0.45 s	0.45 s≤T_P <0.9 s	T_P≥0.9 s

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参考文献(38)

薄景山, 李秀领, 李山有, 2003. 场地条件对地震动影响研究的若干进展. 世界地震工程, 19(2): 11−15.

Bo J. S., Li X. L., Li S. Y., 2003. Some progress of study on the effect of site conditions on ground motion. World Earthquake Engineering, 19(2): 11−15. (in Chinese)

迟明杰, 李小军, 陈学良等, 2021. 场地划分中存在的问题及建议. 地震学报, 43(6): 787−803.

Chi M. J., Li X. J., Chen X. L., et al., 2021. Problems and suggestions on site classification. Acta Seismologica Sinica, 43(6): 787−803. (in Chinese)

冀昆, 2014. 基于H/V谱比法的场地特征研究. 哈尔滨: 中国地震局工程力学研究所.

Ji K., 2014. Estimation on site characteristic based on H/V spectral method. Harbin: Institute of engineering Machanics, China Earthquake Adminstration. (in Chinese)

李小军, 彭青, 刘文忠, 2001a. 设计地震动参数确定中的场地影响考虑. 世界地震工程, 17(4): 34−41. doi: 10.3969/j.issn.1007-6069.2001.04.006

Li X. J., Pen Q., Liu W. Z., 2001a. Consideration of site effects for determination of design earthquake ground motion parameters. World Information on Earthquake Engineering, 17(4): 34−41. (in Chinese) doi: 10.3969/j.issn.1007-6069.2001.04.006

李小军, 彭青, 2001b. 不同类别场地地震动参数的计算分析. 地震工程与工程振动, 21(1): 29−36.

Li X. J., Pen Q., 2001b. Calculation and analysis of earthquake ground motion parameters for different site categories. Earthquake Engineering and Engineering Vibration, 21(1): 29−36. (in Chinese)

李小军, 2013. 地震动参数区划图场地条件影响调整. 岩土工程学报, 35(S2): 21−29.

Li X. J., 2013. Adjustment of seismic ground motion parameters considering site effects in seismic zonation map. Chinese Journal of Geotechnical Engineering, 35(S2): 21−29. (in Chinese)

李小军, 李娜, 王巨科等, 2021. 场地地震动水平/竖向谱比与地表/基底谱比差异及修正水平/竖向谱比法研究. 震灾防御技术, 16(1): 81−90.

Li X. J., Li N., Wang J. K., et al., 2021. Difference between horizontal-to-vertical spectral ratio and surface-to-bedrock spectral ratio of strong-motion and modified horizontal-to-vertical spectral ratio method. Technology for Earthquake Disaster Prevention, 16(1): 81−90. (in Chinese)

李小军, 钱玉, 荣棉水, 等, 2024. 基于地震动反应谱与傅里叶谱确定场地卓越频率的差异性. 震灾防御技术, 19(3): 421−435.

Li X. J., Qian Y., Rong M. S., et al., 2024. Difference analysis of site dominant frequencies obtained from response spectra and Fourier spectra of earthquake motion. Seismic Disaster Prevention Technology, 19(3): 421−435. (in Chinese)

林宗元, 2005. 岩土工程试验监测手册. 北京: 中国建筑工业出版社.

刘琨, 卢育霞, 李倩, 2012. 复杂地形条件对强地震动特征的影响. 世界地震工程, 28(4): 80−88.

Liu K., Lu Y. X., Li Q., 2012. Influence of complicated topography conditions on strong ground motion characteristics. World Earthquake Engineering, 28(4): 80−88. (in Chinese)

齐文浩, 薄景山, 2007. 土层地震反应等效线性化方法综述. 世界地震工程, 23(4): 221−226.

Qi W. H., Bo J. S., 2007. Summarization on equivalent linear method of seismic responses for soil layers. World Earthquake Engineering, 23(4): 221−226. (in Chinese)

任叶飞, 刘也, 张鹏, 等, 2023. 基于聚类分析的我国工程场地分类方案优化研究. 建筑结构学报, 44(11): 226−235.

Ren Y. F., Liu Y., Zhang P., et al., 2023. Research on optimization of site classification scheme in Chinese seismic code based on clustering analysis. Journal of Architectural Structure, 44(11): 226−235. (in Chinese)

王竞, 王世元, 宴金旭等, 2002. 中外场地分类研究现状及其应用讨论. 世界地震工程, 38(3): 236−245.

Wang J., Wang S. Y., Yan J. X., et al., 2002. Research progress and application on site classification in the world. World Earthquake Engineering, 38(3): 236−245. (in Chinese)

王伟, 刘必灯, 刘培玄等, 2016. 基于台阵记录的局部场地条件地震动效应分析. 地震学报, 38(2): 307−317.

Wang W., Liu B. D., Liu P. X., et al., 2016. Analyses on the effect of the local site conditions on the strong motion based on the array records. Acta Seismologica Sinica, 38(2): 307−317. (in Chinese)

温卫平, 陈树培, 白克生等, 2022. 含软弱土层的二维沉积盆地非线性地震反应分析. 地震工程与工程振动, 42(4): 133−141.

Wen W. P., Chen S. P., Bai K. S., et al., 2022. Nonlinear seismic response analysis of two-dimensional sedimentary basin with weak interlayer. Earthquake Engineering and Engineering Dynamics, 42(4): 133−141. (in Chinese)

徐扬, 赵晋泉, 李小军等, 2008. 基于汶川地震远场强震动记录的厚覆盖土层对长周期地震动影响分析. 震灾防御技术, 3(4): 345−351.

Xu Y., Zhao J. Q., Li X. J., et al., 2008. Study on effect of thick sedimentary layers on long-period ground motion from far-field strong motion records of Wenchun Earthquake. Technology for Earthquake Disaster Prevention, 3(4): 345−351. (in Chinese)

姚鑫鑫, 任叶飞, 温瑞智, 2017. 汶川地震强余震场地非线性反应. 地震地磁观测与研究, 38(2): 104−111.

Yao X. X., Ren Y. F., Wen R. Z., 2017. Identification of the nonlinear site response during the Wenchuan aftershocks. Seismological and Geomagnetic Observation and Research, 38(2): 104−111. (in Chinese)

袁丽侠, 2003. 场地土对地震波的放大效应. 世界地震工程, 19(1): 113−120.

Yuan L. X., 2003. The amplifying effect of ground soil to earthquake wave. World Earthquake Engineering, 19(1): 113−120. (in Chinese)

袁一凡, 2008. 四川汶川8.0级地震损失评估. 地震工程与工程振动, 28(5): 10−19.

Yuan Y. F., 2008. Loss assessment of Wenchuan earthquake. Journal of Earthquake Engineering and Engineering Vibration, 28(5): 10−19. (in Chinese)

战吉艳, 陈国兴, 刘建达等, 2013. 远场大地震作用下大尺度深软场地的非线性地震效应分析. 岩土力学, 34(11): 3229−3238.

Zhan J. Y., Chen G. X., Liu J. D., et al., 2013. Analysis of nonlinear seismic effects of large-scale deep soft site under far-field large earthquake. Rock and Soil Mechanics, 34(11): 3229−3238. (in Chinese)

章小龙, 李小军, 周正华等, 2018. 武都盆地效应三维有限元数值模拟. 振动工程学报, 31(5): 811−820.

Zhang X. L., Li X. J., Zhou Z. H., et al., 2018. Three-dimensional simulations of seismic-wave propagation in the Wudu basin with realistic topography based upon the finite-element method. Journal of Vibration Engineering, 31(5): 811−820. (in Chinese)

周锡元, 樊水荣, 苏经宇, 1999. 场地分类和设计反应谱的特征周期−−《建筑抗震设计规范》修订简介(八). 工程抗震, (4): 3−8.

Beresnev I. A., Wen K. L., 1996. Nonlinear soil response−a reality?. Bulletin of the Seismological Society of America, 86(6): 1964−1978.

Kuramoto H., 2006. Seismic design codes for buildings in Japan. Journal of Disaster Research, 1(3): 341−356.

Li X. J., Zhou Z. H., Yu H. Y., et al., 2008. Strong motion observations and recordings from the great Wenchuan Earthquake. Earthquake Engineering and Engineering Vibration, 7(3): 235−246.

Li X. J., Li N., Rong M. S., et al., 2022. Novel evaluation method for site effect on earthquake ground motion based on modified horizontal to vertical spectral ratio. Frontiers in Earth Science, 10: 938514.

Lee C. T., Cheng C. T., Liao C. W., et al., 2001. Site classification of Taiwan free-field strong-motion stations. Bulletin of the Seismological Society of America, 91(5): 1283−1297.

Liu H. X., Housner G. W., Xie L. L, et al., 2002. The great Tangshan earthquake of 1976. English Edition. California Institute of Technology. Earthquake Engineering Research Laboratory. (2019-10-03) [2026-02-14]. https://doi.org/10.7907/AFEE-X539

Nakamura Y., 1989. A method for dynamic characteristics estimation of subsurface using microtremor on the ground surface. Quarterly Report of RTRI, 30(1): 25−33.

Oth A., Bindi D., Parolai S., et al., 2011. Spectral analysis of K-NET and KiK-net data in Japan, Part II: on attenuation characteristics, source spectra, and site response of borehole and surface stations. Bulletin of the Seismological Society of America, 101(2): 667−687.

Seed H. B., Idriss I. M., 1970. Soil moduli and damping factors for dynamic response analysis. Berkeley: Earthquake Engineering Research Center, University of California.

Wen K. L., Bersenev I. A., Yeh Y. T., 1994. Nonlinear soil amplification inferred from downhole strong seismic motion data. Geophysical Research Letters, 21(24): 2625−2628.

Wen R. Z., Ren Y. F., Zhou Z. H., et al., 2010. Preliminary site classification of free-field strong motion stations based on Wenchuan earthquake records. Earthquake Science, 23(1): 101−110.

Wen R. Z., Ren Y. F., Shi D. C., 2011. Improved HVSR site classification method for free-field strong motion stations validated with Wenchuan aftershock recordings. Earthquake Engineering and Engineering Vibration, 10(3): 325−337.

Yamazaki F., Ansary M. A., 1997. Horizontal-to-vertical spectrum ratio of earthquake ground motion for site characterization. Earthquake Engineering & Structural Dynamics, 26(7): 671−689.

Zare M., Bard P. Y., Ghafory-Ashtiany M., 1999. Site characterizations for the Iranian strong motion network. Soil Dynamics and Earthquake Engineering, 18(2): 101−123.

Zhang, X. L., Peng X. B., Li X. J., et al., 2020. Seismic effects of a small sedimentary basin in the eastern Tibetan Plateau based on numerical simulation and ground motion records from aftershocks of the 2008 M_W7.9 Wenchuan, China earthquake. Journal of Asian Earth Sciences, 192: 104257.

Zhao J. X., Irikura K., Zhang J., 2006. An empirical site-classification method for strong-motion stations in Japan using H/V response ratio. Bulletin of the Seismological Society of America, 96(3): 914−925.

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