Correcting for short-wavelength statics with low rank approximation

Short-wavelength statics resulting from the unconsolidated near-surface weathering layers need to be corrected for in order to obtain an undistorted image of the subsurface. Existing methods based on the surface consistency assumption can be computationally intensive and may not fully correct for residual statics. In this work, we follow a data-driven and computationally efficient low-rank approximation approach to correct for short-wavelength statics. The method is based on the property that short-wavelength statics increase the rank of the data, while statics-free data is of low-rank nature in a transform domain. We demonstrate the performance of the proposed method on real land seismic data and compare it with conventional residual statics correction.