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计算线源响应的广义反射透射系数矩阵方法
A GENERALIZED REFLECTION-TRANSMISSION COEFFICIENT MATRIX FOR THE SOLUTION OF LINE SOURCE
【摘要】 本文给出了一种迅速有效地计算成层介质中线源综合地震图的方法.推导了平面内P-SV波在成层介质中的反射透射系数矩阵及线复的震源系数,并由此得到线源响应被积函数的表达式;通过在有限和半无限区域内分别将被积函数展成不同多项式的线性组合,获得了波数积分的解析表达式.数值算例表明,当震中距大于10km以后,这种积分方法的速度逐步快于离散有限波数法.
【Abstract】 This paper Presents an approach for the calculation of synthetic seismograms.The reflection-transmission coefficient matrix of P-SV wave for layered media under plane strain condition and the line source functions are derived. The integrands are represented by means of different polynomials in finite and semi-infinite panels,and the resulting oscillatory integrals are evaluated analytically, Numerical examples have shown that this approach is accurate and efficient, the quadrature scheme is more efficient than the discrete wavenumber summation method for evaluating the wavenumber integrals.
【Key words】 Line source; Reflection-transmission coefficient matrix; Wavenumber integrals.;
- 【文献出处】 地球物理学报 ,Chinese Journal of Geophysics , 编辑部邮箱 ,1994年S2期
- 【分类号】P631.4
- 【被引频次】2
- 【下载频次】182