A Multifractal Analysis of Dispersion During Miscible Flow in Porous Media
Dispersion experiments were performed using three linear, homogeneous, non-uniform porous media constructed in lucite columns with three sizes of spherical glass beads as the porous media. The columns were joined end to end to create a series of layered heterogeneous porous media. Each column and all combinations of columns were studied to determine the effects that porosity, permeability, velocity, viscosity, length, and column order have upon dispersion.
A computer simulation based on a random walk model was used to predict the heterogeneous dispersion coefficients using data from the homogeneous columns. The model correlates the data using a multifractal analysis and predicts that dispersion is dependent upon length and column order.
KeywordsPorous Medium Fractal Dimension Dispersion Coefficient Water Resource Research Random Walk Model
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