Optimized inversion method based on mixed norm
混合范数下的最优化反演方法

When solving the geophysical inverse problems,we usually construct the objective function for inversion according to the least-squares standard,and it is widely used in practice.In order to enhance the robustness and reduce non-uniqueness without loss of the resolution of inversion results,this paper puts forward the optimized inversion method using mixed norm.Because data and model may obey different statistical distributions,different norms are adopted for data space and model space to construct the objective function,then the linear inversion equation based on mixed norm is deduced.Then we apply the iteratively reweighted conjugate gradient method based on mixed norm to solve the linear inversion equation because of its complexity.At last,we verified that the algorithm of this paper is workable through inversing the resistivity data.