三维时—空域曲面拟合与叠加

A 3-D curved-surface fitting and stacking method in time-space domain using compound orthogonal polynomial

多项式拟合技术在提高信噪比的同时基本上不降低资料的分辨率,但该法以往仅适用于二维拟合。本文提出了三维时—空域曲面拟合与叠加方法,给出了数理推导和实现步骤,利用三维复合正交基的可分解性,实现了线性拟合、双曲拟合、挠曲拟合的分离和复合,完成了二维拟合向三维拟合的拓展,使多项式拟合方法适用于三维地震资料处理。采用该方法对实际三维地震资料在共炮检距域进行三维曲面拟合与叠加,得到相应的叠加剖面。处理结果表明,该方法能有效地提高地震资料的信噪比和分辨率。

Polynomial fitting can increase signal-to-noise ratio without damaging resolution.But the method can only be used in processing 2-D seismic data.In this paper,a 3-D curved-surface fitting and stacking method is introduced.It can separate and compound linearity fitting,hyperbola fitting and flexure fitting using decomposability of 3-D compound orthogonal polynomial.A 3-D seismic dataset is processed in offset domain by this method.High quality section is obtained.Processing results prove that the method can improve signal-to-noise ratio and resolution effectively.