A Multifractal Analysis of Dispersion During Miscible Flow in Porous Media

  • Michael M. Botz
  • Steven P. K. Sternberg
  • Robert A. Greenkorn
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 114)


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.


Porous Medium Fractal Dimension Dispersion Coefficient Water Resource Research Random Walk Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Basel AG 1993

Authors and Affiliations

  • Michael M. Botz
    • 1
  • Steven P. K. Sternberg
    • 1
  • Robert A. Greenkorn
    • 1
  1. 1.Department of Chemical EngineeringPurdue UniversityWest LafayetteUSA

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