Abstract
Based on the one-dimension wave equation and multi-scale operator, the method of imaging of wave velocity is presented. Our method in this paper can suppress the noise in the real world data, and analyse the effects of the hand-limited data in frequence. Then, the nonlinear high-frequency integral equation is given.
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Cohen J K, Bleistein N. Velocity inversion procedure for acoustic waves. Geophysics, 1979,44: 1977–1087
Mallat S, Hwang W L. Singularity detection and processing with wavelets. TEEE Trans On Information Theory, 1992, 38: 617–643
Li Shixiong. The linearized inversion of wave equation. Beijing: Seismological Press, 1993. 1
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Project supported by the Science Foundation of Hunan Province and IET Foundation for Young Teacher
Synopsis of the first author Song Shougen, professor, born in May, 1960, received Ph D in Applied Geophysics, study field is inverse problem in Mathematical Physics.
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Song, S. 1D-imaging of velocity for acoustic waves with multi-scale operator. J. Cent. South Univ. Technol. 2, 12–15 (1995). https://doi.org/10.1007/BF02652000
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DOI: https://doi.org/10.1007/BF02652000