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    Electronic Resource
    Electronic Resource
    Instability of Buckley-Leverett flow in a heterogeneous medium (1992)
    Springer
    Transport in porous media 9 (1992), S. 165-185 
    Details
    ISSN: 1573-1634
    Keywords: oil recovery ; instability ; heterogeneous medium ; shock waves
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract We study the simultaneous one-dimensional flow of water and oil in a heterogeneous medium modelled by the Buckley-Leverett equation. It is shown both by analytical solutions and by numerical experiments that this hyperbolic model is unstable in the following sense: Perturbations in physical parameters in a tiny region of the reservoir may lead to a totally different picture of the flow. This means that simulation results obtained by solving the hyperbolic Buckley-Leverett equation may be unreliable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00611965
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