Sequentially ordered single‐frequency 2‐D acoustic waveform inversion in the Laplace‐Fourier domain

Abstract

We propose a sequentially ordered single‐frequency 2‐D acoustic waveform inversion using a logarithmic objective function in the Laplace‐Fourier domain. While previous Laplace‐ and Laplace‐Fourier‐domain waveform inversions were implemented as a simultaneous inversion of each frequency component, our algorithm sequentially inverts single‐frequency data in the Laplace‐Fourier domain, thus reducing computational resources. Most conventional waveform inversion methods need an initial velocity model close to true model. We overcome this problem by proposing a one‐step waveform inversion method seeking to find a final velocity structure from simple initial velocity model such as a two‐layer velocity model through hybrid combination of both Laplace domain inversion and Fourier domain inversion. The proposed algorithm is validated by the numerical experiments of both synthetic seismic data and field dataset.