Full-waveform Velocity Inversion Based on the Acoustic Wave Equation

Abstract

Full-waveform velocity inversion based on the acoustic wave equation in the time domain is investigated in this paper. The inversion is the iterative minimization of the misfit between observed data and synthetic data obtained by a numerical solution of the wave equation. Two inversion algorithms in combination with the CG method and the BFGS method are described respectively. Numerical computations for two models including the benchmark Marmousi model with complex structure are implemented. The inversion results show that the BFGS-based algorithm behaves better in inversion than the CG-based algorithm does. Moreover, the good inversion result for Marmousi model with the BFGS-based algorithm suggests the quasi-Newton methods can provide an important tool for large-scale velocity inversion. More computations demonstrate the correctness and effectives of our inversion algorithms and code.

Elastic Full Waveform Inversion Based on the Trust Region Strategy

“…This technique has been successfully applied to the time-domain acoustic FWI, see e.g. [8] [9]. In order to reconstruct the long wavelength of the macroscopic velocity model, the Laplace-domain FWI is proposed [10].…”

Optimal transport for seismic full waveform inversion

“…(1)      u tt (x, z, t) − v(x, z) 2 (u xx (x, z, t) + u zz (x, z, t)) = 0, u(x, z, 0) = u 0 (x, z), u t (x, z, 0) = 0, where u 0 (x, z) is the initial wave field generated by a Ricker wavelet signal [19]. For a given wavefield v, the solution of this wave equation yields the simulated data (2) f (v) = u(x, 0, t).…”