双侧破裂模型对地震动空间相关性影响的定量研究
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摘要
本文在震源为双侧线状断层破裂模型的假定下，根据震源理论和波谱随空间坐标的展开式，得到 了场地两点地震动Ｆｏｕｒｉｅｒ谱的表达式Ａｂ（ｆ）＝Ａｎ（ｆ）ｅｘｐ（ａ１ｒ０＋ａ２ ）．文中提出了将双侧破裂模型 分解为两个单侧破裂模型计算双侧破裂模型ａ１和ａ２的数值方法．以一次地震（Ｍ＝６）为例，分析了双侧 破裂模型对地震动空间相关性的影响，计算了ａ１和ａ２的实部和虚部以及孔径随震中距、方位角和频率 变化的三维图像．
On the assumption that the seismic source is simplified as a bilateral rupture linear fault with finite length, this paper quantitatively studies the seismic source effects on spatial correlation of strong ground motion. Based on the expanding expression of Fourier spectrum of strong ground motion with spatial coordinate variables, this paper also gives an expression for describing variable law of strong ground motion field, that is Ab(f)= Aa(f)exp[a1 r0+ a2 ]. The numerical method for calculating parameters a1 and a2 is given on the basis of the fact that the bilateral rupture fault is decomposed into two single-direction rupture faults. Finally, taking an earthquake as an example, this paper gives three-dimensional patterns of real and imaginary parts of a1 and a2, and the radius of the field with epicenter distance and direction angle as well as frequency.
On the assumption that the seismic source is simplified as a bilateral rupture linear fault with finite length, this paper quantitatively studies the seismic source effects on spatial correlation of strong ground motion. Based on the expanding expression of Fourier spectrum of strong ground motion with spatial coordinate variables, this paper also gives an expression for describing variable law of strong ground motion field, that is Ab(f)= Aa(f)exp[a1 r0+ a2 ]. The numerical method for calculating parameters a1 and a2 is given on the basis of the fact that the bilateral rupture fault is decomposed into two single-direction rupture faults. Finally, taking an earthquake as an example, this paper gives three-dimensional patterns of real and imaginary parts of a1 and a2, and the radius of the field with epicenter distance and direction angle as well as frequency.
引文
[1]冯启民.胡聿贤.空间相关地面运动的教学模型[J].地震工程与工程振动,1981,1(2).
[2] Abrahamson N A, Bolt B A, Darragh R B, Penzien J., and Tsai Y B. The SMART-1 Accelerograph arrary(1980-1987)A Review[J]. Earthquake Spectra, 1987, 3(2):
[3] Abrahamson N A, Schneider J E, and Stepp J C. Empirical spatial coherency functions for application to soilstructure interaction analysis[J]. Earthquake Spectra, 1991, 7(l):
[4] Abrahamsion N A. Generation of spatially incoherent strong motion time history[A]. Tenth World Conference onEarthquake Engineering[C]. Madrid, Spain, 1992. 845-850.
[5] Yamazaki Y, Turks T. Spatial variation study on earthquake ground motion observed by the Chiba array[A]. ThenthWorld Conference on Earthquake Engineering[C]. Madrid, Spain, 1992. 651-656.
[6] Katayama T, Yamazaki F, Nagata S, Lu L, Turker T. A strong motion database for the Chiba seismometer arrary andits engineering analysis[J]. EESD, 1990, 19:1089-1106.
[7]金星.重大工程场地设计地震动与地震动场的研究[D].国家地震局工程力学研究所,1992.
[8]金星,廖振鹏.地震动随机场的物理模拟[J],地震工程与工程振动,1994, 14(3).
[9]李小军.赵凤新,胡聿贤,空间相关地震动场模拟的研究[J].地震学报, 1997, 19(2):212-215.
[10]金星,张明宇,陈超.震源对地震动空间相关性影响的定量研究[J].地震工程与工程振动,2000,20(1).
[11]金星,陈超,张明宇.单侧破裂源对地震动空间相关性影响的远场分析[J]. 地震学报,2000,22(5).
[2] Abrahamson N A, Bolt B A, Darragh R B, Penzien J., and Tsai Y B. The SMART-1 Accelerograph arrary(1980-1987)A Review[J]. Earthquake Spectra, 1987, 3(2):
[3] Abrahamson N A, Schneider J E, and Stepp J C. Empirical spatial coherency functions for application to soilstructure interaction analysis[J]. Earthquake Spectra, 1991, 7(l):
[4] Abrahamsion N A. Generation of spatially incoherent strong motion time history[A]. Tenth World Conference onEarthquake Engineering[C]. Madrid, Spain, 1992. 845-850.
[5] Yamazaki Y, Turks T. Spatial variation study on earthquake ground motion observed by the Chiba array[A]. ThenthWorld Conference on Earthquake Engineering[C]. Madrid, Spain, 1992. 651-656.
[6] Katayama T, Yamazaki F, Nagata S, Lu L, Turker T. A strong motion database for the Chiba seismometer arrary andits engineering analysis[J]. EESD, 1990, 19:1089-1106.
[7]金星.重大工程场地设计地震动与地震动场的研究[D].国家地震局工程力学研究所,1992.
[8]金星,廖振鹏.地震动随机场的物理模拟[J],地震工程与工程振动,1994, 14(3).
[9]李小军.赵凤新,胡聿贤,空间相关地震动场模拟的研究[J].地震学报, 1997, 19(2):212-215.
[10]金星,张明宇,陈超.震源对地震动空间相关性影响的定量研究[J].地震工程与工程振动,2000,20(1).
[11]金星,陈超,张明宇.单侧破裂源对地震动空间相关性影响的远场分析[J]. 地震学报,2000,22(5).
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