Edge preserving vector filter for smoothing reflector dip and azimuth

This paper proposes an edge preserving vector filter (EPVF) for smoothing seismic dip and azimuth computed by the finite-difference method. Our approach is composed of three steps: (1) set a reference direction, (2) invert opposite vectors to convert directions into orientations, and (3) smooth vectors with the EPVF. Inspired by Tomita’s multi-window analysis technique, the EPVF divides the vicinity of every location in a 3D vector field into a number of sub-windows as the analysis point moves throughout the volume. At an interior discontinuity location within any 3D orientation field, the EPVF utilizes the most centralized neighboring orientation instead of simply averaging across the edge. The proposed smoothing scheme preserves lateral and vertical geological boundaries in the resultant seismic dip and azimuth, which lead to increased resolution of well-established algorithms such as structurally oriented filtering, volumetric estimates of seismic reflector curvature and angular unconformities. Experimental results of a real seismic data example demonstrate the efficiency of our approach.