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\author[1]{Gang Lin}%
\author[1]{Samuel Chapman}%
\author[2]{Dmitry Garagash}%
\author[1]{Jérôme Fortin}%
\author[1]{Alexandre Schubnel}%
\affil[1]{Laboratoire de Géologie, UMR 8538, Ecole Normale Supérieure/CNRS, PSL Research University}%
\affil[2]{Department of Civil and Resource Engineering, Dalhousie University}%


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  \date{May 20, 2024}


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\begin{abstract}
Understanding the coupling between rock permeability, pore pressure, and
fluid flow is crucial, as fluids play an important role in the Earth's
crustal dynamics. We measured the distribution of fluid pressure during
fluid-flow experiments on two typical crustal lithologies, granite and
basalt. Our results demonstrate that the pore-pressure distribution
transitions from a linear to a non-linear profile as the imposed
pore-pressure gradient is increased (from 2.5 MPa to 60 MPa) across the
specimen. This non-linearity results from the effective pressure
dependence of permeability, for which two analytical formulations were
considered: an empirical exponential and a new micromechanics-based
model. In both cases, the non-linearity of pore pressure distribution is
well predicted. However, using a compilation of permeability vs.
effective pressure data for granites and basalts, we show that our
micromechanics-based model, which combines the rough crack asperity
model and cubic law theories, outperforms the exponential formulation at
low effective pressures.%
\end{abstract}%



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