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In fluid dynamics, the Buckley–Leverett equation is a conservation equation used to model two-phase flow in porous media. [1] 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.
Download QR code; Print/export Download as PDF; Printable version; In other projects Wikidata item; ... Buckley–Leverett equation; Burgers' equation; C ...
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 ...
Different modes of two-phase flows. In fluid mechanics, two-phase flow is a flow of gas and liquid — a particular example of multiphase flow.Two-phase flow can occur in various forms, such as flows transitioning from pure liquid to vapor as a result of external heating, separated flows, and dispersed two-phase flows where one phase is present in the form of particles, droplets, or bubbles in ...
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 ...
The Leverett J-function is an attempt at extrapolating capillary pressure data for a given rock to rocks that are similar but with differing permeability, porosity and wetting properties. It assumes that the porous rock can be modelled as a bundle of non-connecting capillary tubes, where the factor k / ϕ {\displaystyle {\sqrt {k/\phi }}} is a ...
Several equivalent formulations, called the conformal Killing equation, exist in terms of the Lie derivative of the flow e.g. = for some function on the manifold. For n ≠ 2 {\displaystyle n\neq 2} there are a finite number of solutions, specifying the conformal symmetry of that space, but in two dimensions, there is an infinity of solutions .
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.