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In a quasi-1D domain, the Buckley–Leverett equation is given by: + (()) =, where (,) is the wetting-phase (water) saturation, is the total flow rate, is the rock porosity, is the area of the cross-section in the sample volume, and () is the fractional flow function of the wetting phase.
Without FD models, recovery estimates and oil rates can also be calculated using numerous analytical techniques which include material balance equations (including Havlena–Odeh and Tarner method), fractional flow curve methods (such as the Buckley–Leverett one-dimensional displacement method, the Deitz method for inclined structures, or coning models), and sweep efficiency estimation ...
Buckley–Leverett equation; Camassa–Holm equation; Chaplygin's equation; Continuity equation for conservation laws; Convection–diffusion equation. Double diffusive convection; Davey–Stewartson equation; Euler–Tricomi equation; Falkner–Skan boundary layer; Gardner equation in hydrodynamics; General equation of heat transfer ...
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In petroleum engineering, the Leverett J-function is a dimensionless function of water saturation describing the capillary pressure, [1] = / where is the water saturation measured as a fraction, is the capillary pressure (in pascal), is the permeability (measured in m²), is the porosity (0-1), is the surface tension (in N/m) and is the contact angle.
In fluid mechanics, fluid flow through porous media is the manner in which fluids behave when flowing through a porous medium, for example sponge or wood, or when filtering water using sand or another porous material. As commonly observed, some fluid flows through the media while some mass of the fluid is stored in the pores present in the media.
In multiphase flow in porous media, the relative permeability of a phase is a dimensionless measure of the effective permeability of that phase. It is the ratio of the effective permeability of that phase to the absolute permeability. It can be viewed as an adaptation of Darcy's law to multiphase flow.
The fluid travels in a parabolic pattern with the velocity of the flow, increasing with the distance from the walls up towards the centre of the channel. Separation takes place close to the accumulation (bottom) wall of the channel. Field-flow fractionation, abbreviated FFF, [1] is a separation technique invented by J. Calvin Giddings.