1D-imaging of velocity for acoustic waves with multi-scale operator

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.

Keywords

imaging of velocity / wave equation / multi-scale operator

References

[1] CohenJ K, BleisteinN. Velocity inversion procedure for acoustic waves. Geophysics, 1979, 44: 1977-1087

[2] MallatS, HwangW L. Singularity detection and processing with wavelets. TEEE Trans On Information Theory, 1992, 38: 617-643

[3] LiShixiongThe linearized inversion of wave equation, 1993, Beijing, Seismological Press: 1-1