On the generalized Buckley-Leverett equation
نویسندگان
چکیده
منابع مشابه
The Buckley-Leverett Equation with Spatially Stochastic Flux Function
When the reservoir parameters are stochastic, then the flow in a reservoir is described by stochastic partial differential equations. Spatial stochastic relative permeability in one spatial dimension is modeled by the stochastic Buckley–Leverett equation s(x, t)t + f(s(x, t), x)x = 0 for x > 0 and t > 0. f is the stochastic flux function and s is the saturation. This equation is analyzed, and i...
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In this paper, we extend the second and third order classical central schemes for the hyperbolic conservation laws to solve the modified Buckley-Leverett (MBL) equation which is of pseudo-parabolic type. The MBL equation describes two-phase flow in porous media, and it differs from the classical Buckley-Leverett (BL) equation by including a balanced diffusive-dispersive combination. The classic...
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The Buckley–Leverett (nonlinear advection) equation is often used to describe twophase flow in porous media. We develop a new probabilistic method to quantify parametric uncertainty in the Buckley–Leverett model. Our approach is based on the concept of a fine-grained cumulative density function (CDF) and provides a full statistical description of the system states. Hence, it enables one to obta...
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Article history: Received 6 February 2014 Available online 18 March 2015 Submitted by C. Gutierrez
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Abstract. The focus of the present study is the modified Buckley-Leverett (MBL) equation 1 describing two-phase flow in porous media. The MBL equation differs from the classical Buckley2 Leverett (BL) equation by including a balanced diffusive-dispersive combination. The dispersive term 3 is a third order mixed derivatives term, which models the dynamic effects in the pressure difference 4 betw...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2016
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4945786