title: Full waveform inversion with optimal basis functions.
abstract: Based on the approach suggested by Tarantola, and Gauthier et al., we show that the alternate use of the step (linear) function basis and the block function (quasi-delta function) basis can give accurate full waveform inversion results for the layered acoustic systems, starting from a uniform background. Our method is robust against additive white noise (up to 20% of the signal) and can resolve layers that are comparable to or smaller than a wavelength in thickness. The physical reason for the success of our approach is illustrated through a simple example.
authors.affiliation: Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China.
authors.forename: Gang
authors.initials: G
authors.lastname: Sun
authors.forename: Qianshun
authors.initials: Q
authors.lastname: Chang
authors.forename: Ping
authors.initials: P
authors.lastname: Sheng