By Mehdi Matt Honarpour, Leonard F. Koederitz, A. Herbert Harvey
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Extra info for Relative Permeability of Petroleum Reservoirs
At low saturationsof the fluid that preferentiallytends to wet the grains of a rock, the rings aroundthe grain contactpoints. Theseare called wetting phaseforms doughnut-shaped with each other and pressurecannot be not communicate rings do pendular rings. The such a distributionmay occupy Sometimes another. pendular ring to transmittedfrom one upon the nature and shape depends The amount pore space. of the fraction an appreciable cementation. of and type well as degree as grains, distribution, of individqal Above the critical wetting-phasesaturation,the wetting phaseis mobile through a tortuous path under a pressuredifferential and as the wetting-phasesaturationincreases,the wettingphaserelative permeability increasesas well.
Severalother authorshave proposedsimilar water relative permeabilityequations with different exponentsfor other types of porous media. 521 were proposedfor unconsolidatedsands with a single grain structurewhich may not be absolutelyuniform in pore size but should have a nalrow rangeof pore sizes. Corey compared the calculated values of oil and gas relative permeabilities for poorly values and obtainedgood results. Corey concludedthat the equationsare not valid when stratification,solutionchannels,fractures, or extensiveconsolidationis present.
25 : (l)^ s** (3s) for P. i Po where tr, and Po are constants characteristicof the media; ), is a measure of pore size distributionof the media, and Po is a measureof maximum pore size (minimum drainage capillary pressureat which a continuousnonwettingphaseexists). Using this relationship, two-phaserelative permeabilitiesare given by k "rwt 2 + l A r - / S * l \vw (36) , and k . *, and k-*, are wetting and nonwettingphaserelative permeabilitiesrespectively. The valuesof tr and Po are obtainedby plotting (S* - S*,)/(l - S*,) vs.
Relative Permeability of Petroleum Reservoirs by Mehdi Matt Honarpour, Leonard F. Koederitz, A. Herbert Harvey