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Can the Biot poroelasticity coefficient $\alpha$ be approximated as a function solely of porosity $\phi$, and if so then how (and under what conditions)?

I've read (e.g. 2.02-3 here) that it can, specifically $\alpha=1-(1-\phi)^{m(\phi)}$ where $m(\phi)=\frac 3 {1-\phi}$ however I haven't found any explanation or derivation. Elsewhere I've simply read that $\phi < \alpha \leq 1$ (e.g. p33 here).

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Apparently this is only an empirical formula, obtained from measurements of sound velocity versus porosity in a single type of material, published in:

Krief et al, A Petrophysical Interpretation Using The Velocities Of P And S Waves (full-waveform Sonic) (1990).

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