Five-dimensional Vector Data Interpolation

Five dimensional interpolation and denoising of multicomponent seismic data is carried out using the quaternions and Projection Onto Convex Sets (POCS). The method is able to reconstruct up to four components of data simultaneously. A real data example is shown for a converted wave dataset acquired over a heavy oil reservoir in the Western Canadian Sedimentary Basin that displays the effects of shear wave splitting. Vector reconstruction is compared with traditional component-by-component reconstruction and is shown to give an improved reconstruction result while preserving the vector relationship between components.