摘要
由Radon变换出发给出了地震走时问题的Δ—ζ变换.定义模型坐标(x,z)与震源位置(Δ)和射线斜率(ζ)间的线性关系为x=Δ+ζz.文中给出了Δ-ζ正反变换的理论公式,并分析了Δ-ζ变换与富氏变换的关系。理论表明,连续函数的Δ-ζ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。
Based on Radon transform, the △-ζ 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 ζ by an equation x = △ + ζz. The theoretical equations of forward and inverse △-ζ transforms are given, then therelationship between the △-ζ and Fourier transforms is discussed. It is shown in theory that a unique solution can be derived with continuous △-ζ 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.
出处
《地震学报》
CSCD
北大核心
1989年第2期170-180,共11页
Acta Seismologica Sinica
