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- W2062131212 abstract "ABSTRACT This paper depicts an original model for the description of heterogeneous media, based on fractal and multifractal geometries. Rather than using, as in Hewett's fractal approach, a random noise to generate heterogeneous patterns, we have developed an approach much closer to geostatistics and based on multifractal approach. Multifractal is a characterization of spatial distribution of a continuous variable, such as permeability or porosity. The construction rule is based on a multiplicative process which gives a multifractal square structure with the size 2n × 2n. The main property of such a construction is the correlations it gives at all length scales. This method is then modified to generate anisotropies in the x and y directions by using rectangular rather than square multifractal blocks. A wide variety of patterns is obtained by tuning only two dimensionless correlation lengths. Consequently, any pattern can be located on a 2D diagram with the extreme cases being the homogeneous medium, the horizontal and vertical layering, and the multifractal. Two-phase displacement patterns are obtained by a network flow simulator coupled to this anisotropic multifractal generator. The results are in good agreement with experimental patterns obtained by CT-Scanning during gas injection in layered Berea sandstone. The model contains the main features of the rock sample, which play a role in immiscible displacements, such as randomness, all ranges of correlations and anisotropy." @default.
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- W2062131212 date "1990-09-23" @default.
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- W2062131212 title "Use of a Multifractal Approach for Multiphase Flow in Heterogeneous Porous Media: Comparison With CT-Scanning Experiment" @default.
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- W2062131212 doi "https://doi.org/10.2118/20475-ms" @default.
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