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Capillary pressure : ウィキペディア英語版
Capillary pressure
In fluid statics, capillary pressure is the difference in pressure across the interface between two immiscible fluids, and thus defined as
:p_c=p_}
In oil-water systems, water is typically the wetting phase, while for gas-oil systems, oil is typically the wetting phase.
The Young–Laplace equation states that this pressure difference is proportional to the interfacial tension, \gamma, and inversely proportional to the effective radius, r, of the interface, it also depends on the wetting angle, \theta, of the liquid on the surface of the capillary.
:p_c=\frac
The equation for capillary pressure is only valid under capillary equilibrium, which means that there can not be any flowing phases.
== In porous media==
In porous media, capillary pressure is the force necessary to squeeze a hydrocarbon droplet through a pore throat (works against the interfacial tension between oil and water phases) and is higher for smaller pore diameter. The expression for the capillary pressure remains as before, ''i.e.,''
p_c=p_}
However, the quantities p_c, p_} are quantities that are obtained by averaging these quantities within the pore space of porous media either statistically or using the volume averaging method.〔Jacob Bear: “Dynamics of Fluids in Porous Media,” Dover Publications, 1972.〕
The Brooks-Corey correlation〔Brooks, R.H. and Corey, A.T.: “Hydraulic properties of porous
media,” Hydraulic paper no. 3, Colorado State University, 1964.〕 for capillary pressure reads
:p_c = cS_w^
where c is the entry capillary pressure, 1/a is the pore-size distribution index and S_w is the normalized water saturation (see Relative permeability)

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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