Differential effective medium theory of sedimentary rocks

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Abstract
We show that both the electrical and acoustic properties of fluid-saturated sedimentary rocks can be described within the unified framework of differential effective medium theory. Calculations based on the differential effective medium picture of rock microstructure yield predictions of sonic travel times and acoustic attenuation in good agreement with experimental data. In particular, the theory shows that the large frequency peak in attenuation and its associated velocity dispersion observed in sandstones are characteristic of a composite system containing fluid-filled microcracks.