A Numerical Method Based on the Range-Discrete Grid for One-Dimensional Buckley-Leverett Equation
نویسندگان
چکیده
منابع مشابه
the algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولCentral schemes for the modified Buckley-Leverett equation
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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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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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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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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ژورنال
عنوان ژورنال: MATEC Web of Conferences
سال: 2016
ISSN: 2261-236X
DOI: 10.1051/matecconf/20166807001