岩土力学 ›› 2024, Vol. 45 ›› Issue (4): 1103-1111.doi: 10.16285/j.rsm.2023.0532

• 基础理论与实验研究 • 上一篇    下一篇

斜入射情形场地基本周期的计算

梁富源1, 2,谢志南1, 2,卢建旗1, 2,单振东1, 2,齐文浩1, 2,章旭斌1, 2,吕国军3   

  1. 1. 中国地震局工程力学研究所 地震工程与工程振动重点实验室,黑龙江 哈尔滨 150080; 2. 中国地震局工程力学研究所 地震灾害防治应急管理部重点实验室,黑龙江 哈尔滨 150080;3. 河北省地震局,河北 石家庄 050021
  • 收稿日期:2023-04-27 接受日期:2023-08-14 出版日期:2024-04-17 发布日期:2024-04-17
  • 通讯作者: 谢志南,男,1984年生,博士,研究员,主要从事强地震动场模拟与预测方面的研究。E-mail: wla_2012@163.com
  • 作者简介:梁富源,男,1996年生,硕士研究生,主要从事地震波动数值模拟方面的研究。E-mail: liangfuyuan2023@163.com
  • 基金资助:
    国家重点研发计划(No. 2022YFC3004303);国家自然科学基金(No. U2039209);河北省重点研发计划(No. 22375406D)

Calculation of site fundamental period in the case of oblique incidence

LIANG Fu-yuan1, 2, XIE Zhi-nan1, 2, LU Jian-qi1, 2, SHAN Zhen-dong1, 2, QI Wen-hao1, 2, ZHANG Xu-bin1, 2, LÜ Guo-jun3   

  1. 1. Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, Harbin, Heilongjiang 150080, China; 2. Key Laboratory of Earthquake Disaster Mitigation, Ministry of Emergency Management, Institute of Engineering Mechanics, China Earthquake Administration, Harbin, Heilongjiang 150080, China; 3. Earthquake Administration of Hebei Province, Shijiazhuang, Hebei 050021, China
  • Received:2023-04-27 Accepted:2023-08-14 Online:2024-04-17 Published:2024-04-17
  • Supported by:
    This work was supported by the National Key R&D Program of China (2022YFC3004303), the National Natural Science Foundation of China (U2039209) and the Key R&D Plan Projects in Hebei Province (22375406D).

摘要: 场地基本周期是场地效应模型的重要变量,是场地分类的重要指标。已有基本周期的计算假定基岩地震波为垂直入射,常用方法包括利用垂直入射情形下场地内SH波竖向一维传播模型建立的模拟与经验方法,其中逐层单自由度法这一经验方法因计算简易、结果与模拟方法相当而被日本抗震设计规范所采纳。然而垂直入射假定大多与实际不符,为此给出可考虑基岩地震波斜入射的场地基本周期计算方法。首先利用Snell定律将基岩斜入射地震波作用下场地内的SH波二维传播表征为一维竖向视传播建立了斜入射情形场地内SH波传播模型。其次利用这一模型给出了斜入射情形基本周期计算的模拟和修正逐层单自由度法并应用于KiK-net台站场地,结果表明基本周期随入射角的增加而变小,就统计所得平均入射角57°而言,基本周期将缩减11%;修正逐层单自由度法可准确考虑斜入射的影响且计算简易度和原方法相当。最后,讨论了基岩面选取对基本周期计算的影响,结果表明,若依据土体首次达到给定剪切波速以确定基岩面,当剪切波速大于700 m/s时,不同基岩面所对应的基本周期具有高度线性相关性。

关键词: 场地基本周期, 地震波入射角, 场地分类, 场地效应模型, 场地基岩

Abstract: The site fundamental period is a crucial variable for site effect models and serves as a significant index for seismic site classification. The existing methods for obtaining site fundamental period assume that the angle of incident seismic wave at the site base are vertical. These commonly used methods include simulation and empirical method based on the vertical SH wave propagation in seismic site. The empirical method of layer by layer single degree of freedom method is adopted in the Japanese seismic design code for its simple calculation and the results are equivalent to the simulation method. Nonetheless, the assumption of vertical incidence does not align with the actual incidence angle of ground motion at the site base. This paper addresses this discrepancy by focusing on establishing a method for the calculation of the basic period under obliquely incident seismic wave. First, the 2D SH wave propagation in seismic site under the action of oblique incidence wave is characterized as vertical 1D apparent propagation to establish the SH wave propagation model based on Snell law. Building upon this foundation, a wave propagation simulation model is applied to establish a numerical method and modified layer by layer single degree of freedom method for the calculation of the basic period and then applied to KiK-net stations. The findings indicate that the fundamental period decreases with an increasing incident angle. For the statistical average result of the base incident wave angle at 57°, the average deviation can be 11%. The modified method accurately considers the influence of the seismic wave incident angle, while maintaining calculation simplicity equivalent to the original method. Finally, the paper discusses the influence of selecting the bedrock surface burial depth on the calculated site fundamental period. The results demonstrate a high correlation between the basic period of the site and different depths if the top of the soil layer, with a shear wave velocity larger than 700 m/s, is defined as the bedrock surface.

Key words: site fundamental period, seismic wave incident angle, site classification, site effect model, site bedrock

中图分类号: 

  • TU 451
[1] 申辉, 刘亚群, 刘博, 李海波, . 地震波斜入射下岩质边坡放大效应的数值模拟研究[J]. 岩土力学, 2023, 44(7): 2129-2142.
[2] 陈国兴, 丁杰发, 方怡, 彭艳菊, 李小军, . 场地类别分类方案研究[J]. 岩土力学, 2020, 41(11): 3509-3522.
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