Upscaling of the permeability by multiscale wavelet transformations and simulation of multiphase flows in heterogeneous porous media |
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| Authors: | M Reza Rasaei Muhammad Sahimi |
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| Institution: | (1) Mork Family Department of Chemical Engineering and Materials Science, University of Southern California, Los Angeles, CA 90089-1211, USA;(2) Department of Chemical Engineering and Institute of Petroleum Engineering, University of Tehran, Tehran, 11365-4563, Iran |
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| Abstract: | We describe a new approach for simulation of multiphase flows through heterogeneous porous media, such as oil reservoirs.
The method, which is based on the wavelet transformation of the spatial distribution of the single-phase permeabilities, incorporates
in the upscaled computational grid all the relevant data on the permeability, porosity, and other important properties of
a porous medium at all the length scales. The upscaling method generates a nonuniform computational grid which preserves the resolved structure
of the geological model in the near-well zones as well as in the high-permeability sectors and upscales the rest of the geological
model. As such, the method is a multiscale one that preserves all the important information across all the relevant length
scales. Using a robust front-detection method which eliminates the numerical dispersion by a high-order total variation diminishing
method (suitable for the type of nonuniform upscaled grid that we generate), we obtain highly accurate results with a greatly
reduced computational cost. The speed-up in the computations is up to over three orders of magnitude, depending on the degree
of heterogeneity of the model. To demonstrate the accuracy and efficiency of our methods, five distinct models (including
one with fractures) of heterogeneous porous media are considered, and two-phase flows in the models are studied, with and
without the capillary pressure. |
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| Keywords: | Two-phase flows Geological model Upscaling Wavelet transformations |
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