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Buckley–Leverett equation : ウィキペディア英語版
Buckley–Leverett equation
In fluid dynamics, the Buckley–Leverett equation is a conservation equation used to model two-phase flow in porous media. The Buckley–Leverett equation or the Buckley–Leverett ''displacement'' can be interpreted as a way of incorporating the microscopic effects due to capillary pressure in two-phase flow into Darcy's law.
In a 1D sample (control volume), let S(x,t) be the water saturation, then the Buckley–Leverett equation is
:\frac = U(S)\frac
where
:U(S) = \frac \frac.
f is the fractional flow rate, Q is the total flow, \phi is porosity and A is area of the cross-section in the sample volume.
==Assumptions for validity==
The Buckley–Leverett equation is derived for a 1D sample given
* mass conservation
* capillary pressure p_c(S) is a function of water saturation S only
* \mathrmp_c/\mathrmS = 0 causing the pressure gradients of the two phases to be equal.
* Flow is Linear
* Flow is Steady-State
* Formation is one Layer

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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