Abstract
Seismic exploration is an important method in geophysical engineering. In this paper, with three-dimensional wavelet operator, a new inverse and imaging method is presented to the seismic inversion problem. Compared with the singular-function method in [1], [2] and [3], the method in this paper can suppress the noise in real-world data and can provide a formula to estimate the error produced by the band-limited nature of the data. As a result, the location of the interior surface in the earth can be detected more precisely.
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Shougen, S., Jishan, H. Velocity inversion for acoustic waves with wavelet operator. J Eng Math 29, 591–606 (1995). https://doi.org/10.1007/BF00044124
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DOI: https://doi.org/10.1007/BF00044124