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.
Highlights
Seismic exploration is one of the ways of identifying media properties and structures by propagation of waves
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
We develop an effective full waveform slowness inversion method for crosshole data by combing the total variation regularization with the constrained optimization together
Summary
Seismic exploration is one of the ways of identifying media properties and structures by propagation of waves. The full waveform inversion (FWI) is a high resolution method to inverse the media parameter by using the whole wavefield information such as amplitude, phase and arrival time. To overcome the ill-posedness, various methods have been developed, for example the multiscale method [10] [11] [12] and the regularization method [13] [14] Other methods such as the Laplace-domain method [15] [16] [17] and the envelop FWI method [18] are proposed to improve the inversion robustness. We develop an effective full waveform slowness inversion method for crosshole data by combing the total variation regularization with the constrained optimization together.
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