TITLE:
Full-waveform Velocity Inversion Based on the Acoustic Wave Equation
AUTHORS:
Wensheng Zhang, Jia Luo
KEYWORDS:
Finite Difference; Acoustic Wave Equation; Full-waveform Inversion; CG Method; BFGS Method; Marmousi Model
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.3 No.3B,
October
25,
2013
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.