子空间法单输入多输出系统混合相位地震子波提取

Mixed-phase seismic wavelet extraction of SIMO system by subspace method

针对高阶统计量混合相位地震子波提取方法要求地层反射系数是非高斯白噪声,并且子波提取速度较慢的缺陷,提出子空间法单输入多输出系统(SIMO)混合相位地震子波提取方法,即基于信号和噪声子空间正交的原理,建立二次型的目标函数,通过对目标函数进行优化就可以提取出混合相位的地震子波,它不需要对地层反射系数做任何假设,因此完全不同于高阶统计量地震子波提取。模型试验和实际应用结果表明,子空间法SIMO系统混合相位子波提取速度快且准确度高,非常适合于无井和井资料不可靠地区的地震子波提取,具有广阔的应用前景。

The method of high-order statistics seismic wavelet extraction requires reflection coefficient to be non-gauss white noise and its extraction speed is slow. In order to overcome the shortcomings, a novel mixed-phase seismic wavelet extraction method for single input multiple output（SIMO） system by subspace method was presented. Quadratic objective function was built based on the orthogonality between a signal and a noise subspaces, and the seismic wavelets were extracted by optimizing the objective function. The reflection coefficient need not be made any assumption. So this method is totally different from high-order statistics wavelet extraction. The results of numerical simulation and application show that this method is characterized by high accuracy and good stability, and it is very suitable for the areas without well materials or reliable well materials. This method has wide application perspects.