Imaging of radar and shallow seismic data using full wave equation migration in the wavelet domain

摘要

The traditional Kirchhoff and wave equation migration decompose the seismic wave with basic functions, such as Green's function or sine function, which are simple and unlocalized solutions to the wave equation. But the un-localization connects computing the local field with the wave field in the whole field. Hence, the computational resolution and efficiency are degraded greatly. Taking the localization and multi-scale character of the wavelet transform into account, we present a new kind of migration in the wavelet domain. This migration operator is very sparse, and expressed with multi-scale functions. The sparseness and compressing the decomposing coefficient can greatly improve the computation efficiency. The synthetic data points out that the truncation of the decomposed coefficients to half of its size is acceptable for migration, and simultaneity its correctness and validity. Finally, this method is applied to migrate the seismic data and the ground radar data.