Rock physics and geophysics for unconventional resource, multi-component seismic, quantitative interpretation

An extension of a previously developed, rock physics, model is made that quantifies the relationship between the ductile fraction of a brittle/ductile binary mixture and the isotropic seismic reflection response. Making a weak scattering (Born) approximation and plane wave (eikonal) approximation, with a subsequent ordering according to the smallness of the angle of incidence, a linear singular value decomposition analysis is done to understand the stack weightings, number of stacks, and the type of stacks that will optimally estimate the two fundamental rock physics parameters. It is concluded that the full PP stack and the 'full' PS stack are the two optimal stacks needed to estimate the two rock physics parameters. They dominate over both the second order AVO 'gradient' stack and the higher order (4th order) PP stack.