Abstract
In this study, we consider the inexact Newton method using the trust-region and line search globalization strategies when solving the large-scale full waveform inversion problem. An elaborate stopping criterion or forcing term is introduced in order to avoid oversolvings of Newton equation. We develop an efficient method to compute (pseudo) Hessian vector products. In addition, a diagonal preconditioner based on the pseudo-Hessian approach is employed to further accelerate the solution of Newton equation. We discuss the specific parameter choices for these present methods. Numerical experiments based on the Marmousi2, BP 2004, and Sigsbee models are conducted to show the numerical performance of proposed inexact Newton methods. Numerical experiments demonstrate that the trust-region can perform better than the line search globalization strategy in the presence of nonlinearity and nonconvexity of the full waveform problem, especially for high contrast velocity models.
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