基于Tikhonov正则化方法的背景噪声源反演

Inversion of Azimuthal Noise Source Energy Distribution Based on Tikhonov Regularization Method

在平面波假设下,基于Tikhonov正则化方法对背景噪声源能量随方位角的分布进行反演;从数据分辨率矩阵、模型分辨率矩阵和单位协方差矩阵的角度对解进行了评价;通过数值实验,分别研究了速度模型、噪声源能量分布模型、周期对解的估计的影响;从不同的角度,说明了Tikhonov正则化方法在背景噪声能量随方位角分布的反演中是一种有效的、稳定的反演方法。

Based on the plane wave hypothesis,the Tikhonov regularization method is used to invert the energy distribution of the ambient noise source with azimuth Angle.The solutions are evaluated from the perspectives of data resolution matrix,model resolution matrix and unit covariance matrix.Through numerical experiments,the effects of velocity model,noise source energy distribution model and period on the estimation of the solution are studied respectively.From different perspectives,the Tikhonov regularization method is proved to be an effective and stable inversion method in the inversion of the azimuth distribution of the background noise energy。