| 地震层析成象的-变换 |
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| 引用本文： | 武利钧,冯锐.地震层析成象的-变换[J].地震学报,1989,11(2):170-180. |
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| 作者姓名： | 武利钧 冯锐 |
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| 作者单位： | 国家地震局地球物理研究所 |
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| 摘 要： | 由Radon变换出发给出了地震走时问题的——变换.定义模型坐标(x,z)与震源位置()和射线斜率()间的线性关系为x=+z.文中给出了-正反变换的理论公式,并分析了-变换与富氏变换的关系。理论表明,连续函数的-变换可得到走时反演问题的唯一解。 在地震学非完全层析成象中,欲提高图象质量必须压制假频和提高分辨.作者对重建图象的分辨进行了详细讨论,最后通过数值模拟讨论了观测系统和滤波处理的影响。
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| 关 键 词： | 地震层析成象 △-ξ变换 Radon变换 走时反演 |
THE △- TRANSFORM IN SEISMIC TOMOGRAPHY |
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| Institution: | Institute of Geophysics, State Seismological Bureau |
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| Abstract: | Based on Radon transform, the △- transform for seismic travel-time inversion is proposed in this paper. We define the linear relationship of model coordinates (x, z), source position △ and seismic ray slope by an equation x = △ + z. The theoretical equations of forward and inverse △- transforms are given, then therelationship between the △- and Fourier transforms is discussed. It is shown in theory that a unique solution can be derived with continuous △- transform.For an incomplete tomographic image reconstruction in seismology, in order to avoid the artificiality and to increase the resolution so as to improve the image quality, the authors give a detailed discussion about the resolution of reconstructed image. Finaly, the influnce of observational system and filter approach upon the reconstruction is discussed through numerical computation. |
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