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The Buckley–Leverett equation or the Buckley–Leverett displacement describes an immiscible displacement process, such as the displacement of oil by water, in a one-dimensional or quasi-one-dimensional reservoir. This equation can be derived from the mass conservation equations of two-phase flow, under the assumptions listed below.
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.
Barotropic vorticity equation; Basset–Boussinesq–Oseen equation; Batchelor vortex; Batchelor–Chandrasekhar equation; Benedict–Webb–Rubin equation; Benjamin–Bona–Mahony equation; Bernoulli's principle; Black-oil equations; Borda–Carnot equation; Bosanquet equation; Boussinesq approximation (water waves) Buckley–Leverett ...
Buckley–Leverett equation: Two-phase flow in porous media: S. E. Buckley and M. C. Leverett: Burgers' equation: Fluid dynamics: Johannes Martinus Burgers: Cahn–Hilliard equation: Phase separation: John W. Cahn and John E. Hilliard: Callan–Symanzik equation: Quantum field theory: Curtis Callan and Kurt Symanzik: Callendar–Van Dusen ...
Buckley–Leverett equation This page was last edited on 12 September 2023, at 20:48 (UTC). Text is available under the Creative Commons ...
Web articles on the the Buckley-Leverett equation point out that it assumptions imply that the "relative permeabilities" of oil and water become a function of the "saturation of water" alone. This leads to an equation whose unknown function is S, which is the saturation of water.
With this equation and model, Everett noted the behavior of water and ice given different pressure conditions at the solid-liquid interface. Everett determined that if the pressure of the ice is equal to the pressure of the liquid underneath the surface, ice growth is unable to continue into the capillary.
In quantum mechanics, the Gorini–Kossakowski–Sudarshan–Lindblad equation (GKSL equation, named after Vittorio Gorini, Andrzej Kossakowski, George Sudarshan and Göran Lindblad), master equation in Lindblad form, quantum Liouvillian, or Lindbladian is one of the general forms of Markovian master equations describing open quantum systems.