TITLE:
Acoustic Based Crosshole Full Waveform Slowness Inversion in the Time Domain
AUTHORS:
Wensheng Zhang, Atish Kumar Joardar
KEYWORDS:
Acoustic Wave Equation, Crosshole, Full Waveform Inversion, Slowness, Bound Constraints, TV Regularization
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.5,
May
31,
2018
ABSTRACT: 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.