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CAPILLARY PRESSURE - UPC

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Daniel Fernàndez Garcia<br />

<strong>UPC</strong> – Constitutive eqs.<br />

LEVERETT J-FUNCTION (1941)<br />

The p c -S-relations in NAPL-water or gas-NAPL systems differ from<br />

gas-water due to the interdependence of the interfacial tension and<br />

the contact angle<br />

Dimensionless form of the p c -S-relations<br />

Leverett (1941)<br />

Richardson (1961)<br />

J(S)<br />

J(S)<br />

Pc<br />

= κ / φ<br />

σ<br />

= Pc<br />

κ φ<br />

f ( θ)<br />

σ<br />

/<br />

Influence of contact angle not negligible for drainage or wetting<br />

processes with θ =35-40 or 15-25, respectively.<br />

Contact angle increases with decreasing surface tension so that it is<br />

possible to estimate a range for σ (not negligible for < 50 mN/m)<br />

12

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