Multi-dip radon stack as an alternative to conventional stacking

Abstract

Conventional velocity stack is performed after a hyperbolic moveout correction and straight summation of the data (CMP gathers). This process is equivalent to summing the data along hyperbolic paths. Although the Radon transform (RT) has never been designed to perform such operation as stacking, it is very interesting to note the basic definition of the forward generalized Radon transform (GRT) which is obtained by summing the original data along a path. If this path happens to be a hyperbolic one, then in principle, the forward GRT domain would indeed be equivalent to a velocity stack domain. And picking suitably in this transform domain should enable us to obtain an equivalent of a velocity stack. This is the idea that lays the foundation of the proposed method.