| 用球谐函数拟合地幔Q值三维分布的收敛性问题 |
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| 引用本文： | 洪良辰,郭履灿.用球谐函数拟合地幔Q值三维分布的收敛性问题[J].CT理论与应用研究,1994,3(1):25-29. |
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| 作者姓名： | 洪良辰 郭履灿 |
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| 作者单位： | 北京师范大学数学系，国家地震局地球物理研究所 |
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| 摘 要： | 本文针对用球谐函数拟合地幔范围，地震体波品质因数Ｑ值三维空间分布是否存在拟合收敛性的问题，从数学理论方面进行了推算研究。分析了球谐函数与勒让得多项式收敛的条件，提出了相应的定理，当Ｑ值随深度分布的连续性甚好时，当多项式的项数多到一定的程度，则可证明这种拟和是趋于收敛的．
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| 关 键 词： | 球谐函数 三维分布 收敛性 Q值 地幔 地震波 |
On the Convergence of Fitting Seismic body-wave's Q-value 3-dimensional Distribution by Using of Spherical Harmonic Function |
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| Hong Liangchen, Guo Lucan.On the Convergence of Fitting Seismic body-wave''''s Q-value 3-dimensional Distribution by Using of Spherical Harmonic Function[J].Computerized Tomography Theory and Applications,1994,3(1):25-29. |
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| Authors: | Hong Liangchen Guo Lucan |
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| Abstract: | In this paper, the authors discuss the convergence offitting seismic body-wave Q-value'S 3D distribution in earth-mantle by using of spherical harmonic function. We analyse the condition of convergence of Q-distribution: if the continuity of Q-distribution with depth is more smoothly and the term of Legendre function arrives a fixed number then this fitting may arrive conversence. |
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| Keywords: | s: Spherical harmonic function Seismic body wave's Quality factor 3-dimension Convergence |
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