Scale up of Flow in Porous Media 1
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چکیده
We study the scale up problem for ow in porous media. The general nature of this problem is outlined, leading to a discussion of assumptions on random elds appropriate for the description of geological heterogeneities. The main point of this paper is to use direct numerical simulation to evaluate the ensemble averages describing uid dispersion, for ow in porous media. The relation between ensemble dispersion and single realization dispersion is discussed in the case of linear transport, and the role of plume or channel width is also explored. Finally we consider nonlinear transport, and contrast dispersive to hyperbolic renormaliza-tion of the ow equations. For the geological and uid paramters considered here, the hyperbolic renormalization is trivial, indicating that dispersive renormalization is appropriate in these cases. Further study of the ideas explored in this paper will be required for a proper understanding of their role in a more complete theory which we hope will follow.
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تاریخ انتشار 1995