A Pre-stack Basis Pursuit Seismic Inversion

Zhang and Castagna (2011) formulated basis pursuit inversion for post-stack seismic data. Here we extend it to the pre-stack angle gather domain. The major contribution of this work is the introduction and feasibility of application of basis pursuit inversion on pre-stack seismic data. The BPI inversion follows a L1 norm optimization framework. The resulting inversion enforces sharpness of the layer interfaces, thereby achieving better focus of layer boundaries. Unlike other AVA inversion methods which output smooth Vp, Vs and density, our method can generate spiky reflectivities of Rp, Rs and Rρ and blocky velocities and density, which can resolve structural boundaries and lithology information better for interpretation.