Capillarity in Porous Media: Recent Advances and Challenges
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Fig. 14

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Euler characteristic of the gas clusters – which is a measure for connectivity – vs. gas saturation for the pressure depletion experiments (left) and gas injection experiments (right). Euler characteristic χ > 0 indicates disconnected gas clusters while χ < 0 indicates connectivity. χ = 0 coincides approximately with the percolation threshold, and hence serves as an indication for the critical gas saturation Sgc. For the pressure depletion experiments (A) the critical gas saturation Sgc = 0.2 for pressure depletion and Sgc = 0.25 for re-pressurization, which is overall in the range of percolation thresholds for porous objects in 3D. For the gas-injection experiments we observe an overall not-connected (χ > 0) situation for the low injection case (B) and an overall connected situation (χ < 0) for the high injection case (C).

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