Gassmann's (1951) equations relate the elastic bulk (Ksat) and shear (Gsat) moduli of a fully saturated rock to the elastic bulk and shear moduli of the dry-rock frame (Kdry and Gdry, respectively), porosity φ, and the bulk moduli of the mineral phase (Ks) and pore fluid (Kf): (1)Ksat=KsϕKdry−(1+ϕ)KfKdry/Ks+Kf(1−ϕ)Kf+ϕKs−KfKdry/Ks,Gdry=Gsat≡G.
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Dvorkin et al. (1999) studied this question.
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