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The waveform analysis is a powerful tool to investigate the physical properties in the areas of interest. Since the wave propagation is influenced by all elastic parameters, it is necessary to include these parameters in the inversion. On the other hand, multi-parameter FWI is a challenging problem because some elastic parameters increases the dimension of the solution space, in other words desensitization of each parameter occurs due to the difference of each radiation pattern and geometrical spreading. Some previous works used preconditioning gradient method using approximate Hessian that takes radiation pattern and geometrical spreading into account in order to compensate the desensitization. However, such methods solve many forward calculations to make the preconditioning operator so the computational cost becomes expensive. In this paper, we suggest new preconditioning gradient method that seeks preconditioning operator by scattering theory instead of many forward calculation to compensate the desensitization. We conduct numerical experiments to compare the results obtained by the new method with those from a conventional method. This method can estimate more reliable results than conventional one and restrain the rise of computational costs.

Preconditioning elastic full waveform inversion by scattering theory