WIDELY CONVERGENT GENERALIZED PULSE SPECTRUM METHODS FOR 2-D WAVE EQUATION INVERSION
二维波动方程约束反演的大范围收敛广义脉冲谱方法

A Widely Convergent Generalized Pulse-Spectrum Technique (WCGPST) for 2-D wave equation is given in this paper, using widely convergent homotopy method applied to the inversion process of operator identification and Tikhonov regularization method for solving ill-posed problem. In order to improve the rate of analysis, the well log is introduced to the 2-D wave equation inversion. We combine constructed WCGPST with the Regularization-Gauss-Newton method. The 2-D wave equation inversion for two classes of point source and inhomogeneous medium is solved respectively. The corresponding numerical simulations indicate that the robustness of the methods is developed with the increase of the known information.