P-wave Dispersion and Attenuation in Patchy-saturated Rocks - White, Dutta, Johnson and Biot-Rayleigh Theories

The P-wave attenuation and dispersion in fluid-saturated porous rocks are studied.A double-porosity saturation model is formulated based on the flow dynamics theory developed by Rayleigh, where the local fluid flow of a spherical inclusion is modelled. the Biot-Rayleigh (BR) theory is extended to the case of patchy-saturation rocks. The dispersion/attenuation curves of this method are compared with serveral previous theories. BR model shows better behaviour in fitting experimental data when inclusion size is at the same level of experimental diffusion length.