Full-waveform Velocity Inversion Based on the Acoustic Wave Equation ()

Wensheng Zhang, Jia Luo

Institute of Computational Mathematics and Scientific/Engineering Computing, LSEC Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, P. R. China.

**DOI: **10.4236/ajcm.2013.33B003
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Institute of Computational Mathematics and Scientific/Engineering Computing, LSEC Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, P. R. China.

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.

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W. Zhang and J. Luo, "Full-waveform Velocity Inversion Based on the Acoustic Wave Equation," *American Journal of Computational Mathematics*, Vol. 3 No. 3B, 2013, pp. 13-20. doi: 10.4236/ajcm.2013.33B003.

Conflicts of Interest

The authors declare no conflicts of interest.

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