用球面调和函数拟合地震波Q值空间分布收敛性的研究 |
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引用本文: | 郭履灿,洪良辰. 用球面调和函数拟合地震波Q值空间分布收敛性的研究[J]. CT理论与应用研究, 1993, 0(2) |
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作者姓名: | 郭履灿 洪良辰 |
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作者单位: | 国家地震局地球物理研究所,北京师范大学数学系 北京 100081,100875 |
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摘 要: | 本文从球面调和多项式的数学理论方面研究了用球函数拟合地慢地震波Q 值空间分布方法的收敛性的问题。运用一种逼近的球面多项式的误差公式,证明用球谐函数拟合地幔地震波Q 值空间分布的方法是收敛性的;也提出从地震P 波的振幅A 和周期T 拟合、反演地幔范围P 波品质因数空间分布的误差Qer 与P 波(A、T)的观测数目N 的增加,Qer 的减少来予以验证。
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关 键 词: | 球谐函数 地震波Q值 收敛性 |
On the Convergence of Fitting Seismic-wave''''s Q-value Distribution by Using of Spherical Harmonic Function |
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Abstract: | In this paper,the authors discuss the convergence of fitting seismic-wave'sQ value distribution in earth-mantle by using of spherical harmonic polynomial function,we define a formula of Q-value's error by an approximate method that using a sphericalpolynomial function.Finally we present a method which may verify the above conclusionand we wish to establish a relation between the observational number N of amplitude Aand its corresponding period T.We have used this relation to inverse the seismic Q-valueswhich will be calculated by the spherical harmonic function fitting method. |
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Keywords: | Spherical Harmonic Function Seismic-wave's Quality Factor Convergence |
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