Amplitude-preserved low velocity noise suppression

Low velocity noise can contaminate reflections and distort AVO amplitude information. I explore different inversion methods for suppressing low velocity noise while simultaneously preserving amplitudes along reflections. A velocity-stack inversion process is used for recreating models in velocity space that can reconstruct the reflections and the low velocity noise. Velocity-stack inversion is the process of creating a velocity space model that can correctly reconstruct the measured data. This is usually implemented by minimizing the L2 norm of the data misfit and the L2 norm of the model. Better velocity space images, with a better separation of the reflections and the low velocity noise, can be created by minimizing a different norm of the data misfit and a different norm of the model length. Norms closer to the L1 norm appear to be better at rejecting impulsive noise and creating a spiky model. Current tests with the CORPOVEN 3-component dataset show very encouraging results.