Author(s)

Wensheng Zhang^1,2, Atish Kumar Joardar^1,2,3

¹LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China.
²School of Mathematical Sciences, University of Chinese Academy of Sciences, Chinese Academy of Sciences, Beijing, China.
³Department of Mathematics, Islamic University, Kushtia, Bangladesh.

We develop a new full waveform inversion (FWI) method for slowness with the crosshole data based on the acoustic wave equation in the time domain. The method combines the total variation (TV) regularization with the constrained optimization together which can inverse the slowness effectively. One advantage of slowness inversion is that there is no further approximation in the gradient derivation. Moreover, a new algorithm named the skip method for solving the constrained optimization problem is proposed. The TV regularization has good ability to inverse slowness at its discontinuities while the constrained optimization can keep the inversion converging in the right direction. Numerical computations both for noise free data and noisy data show the robustness and effectiveness of our method and good inversion results are yielded.

Acoustic Wave Equation, Crosshole, Full Waveform Inversion, Slowness, Bound Constraints, TV Regularization

Zhang, W. and Joardar, A. (2018) Acoustic Based Crosshole Full Waveform Slowness Inversion in the Time Domain. Journal of Applied Mathematics and Physics, 6, 1086-1110. doi: 10.4236/jamp.2018.65094.