Kirchhoff Beam Migration Based on Compressive Sensing

Kirchhoff beam migration (KBM) is a seismic-signal-based imaging method that considers both computational efficiency and computational precision. This method requires the decomposition of the seismic records, at each center-window, to plane waves in different directions. KBM achieves this step via the conventional linear Radon transform (LRT), which has obvious drawbacks. First, many noises and spatial aliasing exist in the transform result; and second, the resolution of the result does not meet a pre-defined threshold. These drawbacks could affect the imaging ability of KBM. To solve these problems, this paper introduced a high-resolution LRT method based on compressive sensing to KBM to improve the quality of the obtained plane waves and imaging results. This paper verifies the seismic-signal imaging method via multiple numerical models.