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| {{DISPLAYTITLE:Leverett ''J''-function}}
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| {{technical|date=June 2012}}
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| In [[petroleum engineering]], the '''Leverett ''J''-function''' is a dimensionless function of [[water saturation]] describing the [[capillary pressure]],<ref>
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| {{cite journal|author=M.C. Leverett|title=Capillary behaviour in porous solids|journal=Transactions of the AIME|issue=142|pages=159–172|year=1941}}
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| </ref>
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| :<math>J(S_w) = \frac{p_c(S_w) \sqrt{k/\phi}}{\gamma \cos \theta}</math>
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| where <math>S_w</math> is the water saturation measured as a fraction, <math>p_c</math> is the [[capillary pressure]] (in [[Pascal (unit)|pascal]]), <math>k</math> is the [[Permeability (fluid)|permeability]] (measured in [[Square metre|m²]]), <math>\phi</math> is the [[porosity]] (0-1), <math>\gamma</math> is the [[surface tension]] and <math>\theta</math> is the [[contact angle]]. The function is important in that it is constant for a given saturation within a reservoir, thus relating reservoir properties for neighboring beds.
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| The Leverett ''J''-function is an attempt at extrapolating capillary pressure data for a given rock to rocks that are similar but with differing permeability, porosity and wetting properties. It assumes that the porous rock can be modelled as a bundle of non-connecting capillary tubes, where the factor <math>\sqrt{k/\phi}</math> is a characteristic length of the capillaries' radii.
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| ==See also==
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| * [[Amott test]]
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| ==References==
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| {{reflist}}
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| ==External links==
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| * http://www.ux.uis.no/~s-skj/ResTek1-v03/Notater/Tamu.Lecture.Notes/Capillary.Pressure/Lecture_16.ppt
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| [[Category:Petroleum engineering]]
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| {{fluiddynamics-stub}}
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Latest revision as of 04:24, 12 January 2015
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