PETE311_06A_Class25_(Maggard)

PETE311_06A_Class25_(Maggard) - Capillary Pressure /...

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Capillary Pressure / Permeability Relations
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Single Capillary Tube • Previously discussion showed that for a single capillary: – consistent units required •P c dyne/cm 2 σ dyne/cm •r c m ( ) r θ cos σ 2 P c =
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Bundle of Capillary Tubes Model • Purcell (ABW page 169) developed a model which considers the porous media to be a “bundle of capillary tubes” of varying sizes • This model was used to develop a relationship for predicting permeability from the drainage capillary pressure curve – for a discrete set of capillary sizes, in consistent units: •k c m 2 σ dyne/cm •P c dyne/cm 2 () ( ) ( ) = = n 1 i i 2 c i w 2 ) (P S 2 θ cos σ k φ
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• For a continuous distribution of capillary sizes, determined from the P c (S w ) function (consistent units) () () () w 1 S 0 S 2 c 2 dS P 1 2 θ cos σ k w w = = = α φ α is an dimensionless, empirical “lithology factor” (Purcell used symbol, λ ) – The function 1/P c 2 could
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This note was uploaded on 12/03/2009 for the course PETE 311 taught by Professor Staff during the Spring '08 term at Texas A&M.

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PETE311_06A_Class25_(Maggard) - Capillary Pressure /...

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