Random Sampling for Seismic Acquisition

Seismic data acquired in land or marine acquisition is typically undersampled for both receivers and sources, and regularly distributed along parallel lines. The theory of compressive sampling considers that if data is undersampled, the seismic wavefield is better reconstructed if the measurements are randomly distributed. In this paper we investigate how random sampling can be implemented in different types of marine acquisition geometries. 3D finite-difference modeling data were generated to simulate acquisition geometries with regular and random sampling. We will present also a land synthetic data example for node type geometry to illustrate the benefit of random sampling for ground roll attenuation. (note: this example was not included in the abstract)