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震源对地震动空间相关性影响的定量研究

Quantitative research on effects of seismic source on space correlation of strong ground motion

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【作者】 金星陈超张明宇

【Author】 JIN Xing; CHENG Chao; ZHANG Ming-yu (Institute of Engineering Mechanics, CSB, Harbin 150080)

【机构】 中国地震局工程力学研究所!黑龙江哈尔滨150080

【摘要】 在震源为线性破裂断层模型的假定下,本文根据震源理论和波谱随空间坐标的展开式,定量分析了震源对地震动空间相关性的影响,得到了场地上相距为d的αb两点地震动的Fourier谱的关系式为Ab(f)=Aα(f)exp(α1δr0+α2δθ)。其中,α1,α2为与震源参数、介质特性和场地位置相关并随频率变化的两个复数.δr0与δθ为与台站相对位置有关的参数.本文绘出了计算α1和α2的理论公式,并对α1和α2的物理意义进行了讨论.在此基础上,本文也得到了根据α1和α2估计地震动场孔径的理论公式,最后,以一次M=6单侧破裂地震为例.通过数值积分,计算α1~α2和孔径防震中矩、方位角和频率变化的三维图像.

【Abstract】 Assuming that the seismic source is a linear fault along one-directional rupture,the authors quantitatively analyze the effect of seisdric souree on the space correlation of strong ground motion based on the seismic source theory and expansion of Fourier spectrum of seismic motion with space coordinate variables, and obtain a relation of Fourier spectra at two points a and b of a site with a distance d, that is Ab(f) =Aα (f) exp (α1δr0 + α2δθ),α1 and α2 are two complex numbers which are related to seismin source parameters, media properties, space coordinates of the site as well as frequency. δr0 and δθ are two parameters which are mainly related to relative local space coordinates of sites. This paper presents the theoretical formula calculating α1 and α2, discusses the physical significance of α1 and α2, and obtains a formula for estimating the radius of strong ground motion field based on α1 and α2Finally, taking an earthquake with magnitude 6.0 as an example, the authors calculate threedimensional patterns of α1 and α2 with epicenter distance, direction angle and frequency based on numerical integration, and give the radius variation of the field with frequency.

【基金】 国家自然科学基金!59895410;地震学联合基金;中国地震局“九五”项目!95-05-02-03-04
  • 【文献出处】 地震工程与工程振动 ,EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION , 编辑部邮箱 ,2000年01期
  • 【分类号】P315.9
  • 【被引频次】12
  • 【下载频次】144
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