三维正交多项式拟合去噪在叠后地震资料中的应用

Application of denoising with 3D orthogonal polynomial fitting on poststack seismic data

1.成都理工大学地球物理学院，四川成都610059；2.四川大学数学学院，四川成都610065；3.川庆钻探工程有限公司地球物理勘探公司，四川成都610213

Zou Meng, Geophysics College,Chengdu University of Technology,Chengdu 610059,China

根据叠后地震信号在横向上连续的性质，可以构建合适的多项式来拟合地震信号以提高地震资料信噪比，但利用传统的二维多项式拟合三维地震数据往往会造成能量突跳。三维正交多项式拟合能有效地避免能量突跳现象的发生，但该方法需要大量的人机交互，拟合三维地震资料的运算量十分巨大。提出一种隐式的正交多项式拟合方法，该方法不需要计算出正交多项式的表达式，采用新的快速扫描技术使得整个拟合过程无需人工干预，因而能够快速自动地处理大数据量的三维地震数据。实际地震资料测试结果表明，该方法对三维叠后地震资料有很好的去噪效果。

Poststack seismic signals is continuous in lateral direction,in terms of this property,we can construct suitable polynomial to fit seismic signals for improving S/N.however,3D seismic data fitting by traditional 2D polynomial often causes energy jumping.3D orthogonal polynomial fitting can effectively avoid energy jumping phenomena,but the method leads to abundant of humancomputer interaction and huge computation.Therefore,we proposed a new implicit orthogonal polynomial fitting method,which not needs computing orthogonal polynomial any more.In addition,the new fast scanning technique can quickly and automatically process huge 3D seismic data without human intervention.The processing on real data shows that this method has great denoising effect on 3D poststack seismic data.

10.3969/j.issn.10001441.2013.05.014