Frequency-dependent P-wave Reflection Coefficients for a Double Porosity Reservoir

Abstract

The effective Biot governing equations and the boundary conditions are applied to derive the exact frequency dependent reflection coefficients of normal incident (NI) P-waves through a pure elastic medium on the interface of a effective Biot media (DPDP media). The frequency dependence of the reflection coefficients is calculated for three models; dim-out interface, phase-shift interface and bright-spot interface. We show that the simple acoustic reflection coefficients, without consideration of the slow P-waves, have sufficient accuracy compared with the exact DPDP solution over the typical seismic frequency range.