【摘要】 针对二维双相介质波动方程反问题,将大范围收敛的同伦方法与求解大规模优化问题的共轭梯度法有机结合,并引入求解不适定问题的Tikhonov正则化方法,构造出正则化-同伦-共轭梯度法。数值实验结果表明了该方法能有效地处理非线性的、不适定的地震勘探反演问题。更多还原

【Abstract】 To solve the two-phase medium wave equation inversion problem,a regularization-Homotopy-conjugate gradient method is constructed by combinating a widely convergent homotopy method with the conjugate gradient method for solving large-scale optimization problem,and introducing the Tikhonov regularization method for solving ill-posed problems.The results of numerical experiments show that the method is very effective in dealing with non-linear,ill-posed problem of seismic exploration inversion.更多还原