基于低频约束的高分辨率Radon变换多次波压制方法研究

抛物线Radon变换是地震资料处理中常用的一种多次波压制方法,常规Radon变换由于采用最小二乘算法的原因,对不同的曲率值采用相同的加权值进行求解,分辨率较低。为提高Radon域数据的分辨率,应采用对不同曲率值应用不同的加权值的方法。一般的思路是利用前一次迭代的结果得到加权矩阵,该算法需要迭代进行,运算量较大。这里拟采用低频约束的方式提高Radon变换的分辨率,即利用前一个频率的运算结果对下一个频率的计算进行约束,该算法分辨率高,计算速度快。模拟数据和实际数据的测试表明,本文方法在多次波压制处理中,可以快速有效地完成多次波去除。

Multiple attenuation using low frequency constrained high-resolution parabolic Radon transform

Parabolic Radon transform is one of the common used method of multiple attenuation in seismic data processing. Conventional Radon transform with the least squares algorithm,adopts the same weight for different q values,thus generate low resolution data in Radon domain. In order to increase the resolution in the Radon domain,the method of giving different weight for different q value should be adopted. The general idea is to use the result of previous iteration to get the weighted matrix. The method needs to be solved iteratively,and requires large computation. We propose a method based low frequency constraint to improve the resolution in Radon domain,which use the result of previous frequency to constrain the computation of the next frequency. The method can get a high-resolution result,and can get a good result very quickly. Simulated data and real data tests demonstrated the feasibility and efficiency of the method in multiple suppression.