A preconditioning scheme for full waveform inversion |

In this paper, we use a time domain approach for solving the scalar acoustic wave equation (parametrized in terms of P-wave velocity ):

with the source term where is the source function at and the pressure field. Tarantola (1984) derives the expression of the gradient for the acoustic equation (3) for each component of (equal to only in this case).

where is the

where is the updated solution, the step length computed by a line search that ensures a sufficient decrease of and the approximate Hessian. To improve chances of not falling into a local minimum, we follow a multi-scale approach (Bunks et al., 1995) where the source and data are bandpassed prior to inversion. We introduce our preconditioning scheme in the following section.

A preconditioning scheme for full waveform inversion |

2010-11-26