非线性各向异性波形反演方法

本文以经典的最优化理论为基础,将反演声波介质和各向同性弹性介质的弹性常数、波阻抗和密度等参数的非线性波形庆演方法．推广于弹性各向异性介质弹性参数和密度的反演.详细地推导了反演上述参数的迭代公式.为了有效地利用与各模型参数对应的目标函数的梯度分量,文中给出了子空间法修改模型参数的方法,使每个模型参数修正量的修正系统都能用最优化方法确定,从而有利于加快迭代的收敛速度.

Nonlinear waveform inversion in anisotropic medium

On the basis of classical optimization theory,the nonlinear waveform inversion technique for calculating elastic constant, wave impedance and density of acoustic and isotropic elastic media is used to estimate the elastic parameter and density of elasticanisotropic medium. The iterative formulae for inverse computing the parameters are deduced in detail. In order to effectively use the gradient component of the target function corresponding to each model parameter,we develop the parameter revision technique using subspace method,so that the revision coefficient of each model parameter can be determined by doing optimization to speed the convergence of iteration operation.