On White's model of attenuation in rocks with partial gas saturation

N. C. Dutta, A. J. Seriff
1979 Geophysics  
In two important papers, J. E. White and coauthors (White, 1975; White et al, 1976) have given an approximate theory for the calculation of attenuation and dispersion of compressional seismic waves in porous rocks filled mostly with brine but containing gas-filled regions. Modifications of White' s formulas for kE and Q in the case of gas-filled spheres brings the results into good agreement with the more exact calculations of Dutta and Ode (1979 a, b, this issue) , who used Biot' s theory for
more » ... Biot' s theory for porous solids. In particular, the modified formulas give the expected Gassmann-Wood velocity at very low frequencies. Inclusion of the finite gas compressibility in numerical calculations for gas-filled spheres shows an interesting maximum of the attenuation at low gas saturations which is not seen if the gas is ignored. A comparison of the attenuation calculated for the same rock and fluids but for three different geometries of the gas-filled regions suggests that the configuration of the gas-filled zones does not hav*e an important effect on the magnitude of the attenuation.
doi:10.1190/1.1440940 fatcat:owpbiq636jbnjlq3iyftzvbuyu