Flow and solute transport in strongly heterogeneous porous media

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The stochastic analysis of flow and solute transport provides the required probabilistic information for the risk assessment of hazard and radioactive waste management. Only low-order approximations of the velocity covariance based on the perturbation theory exit in literature. The high-order stochastic theory is needed to describe the flow and solute transport in strongly heterogeneous porous media. A conjecture on the high-order transverse velocity covariance is proposed in this study. It is based on the analytical results of first- and second-order velocity covariances from the perturbation theory. The conjecture is of an algebraic form with a power of 3/4. It leads to a good fit with the results of Monte Carlo simulations found in literature. Theoretical transverse macrodispersion coefficients are investigated for the first-order advection transport associated with different forms of velocity covariances including first-order (in variance of log-hydraulic conductivity), second-order, and the conjectured high-order forms. The conjecture shows a peak transverse macrodispersion coefficient growing with the variance of log conductivity. The proposed high-order velocity covariance will generate plumes that grow faster than the first-order but slower than the second-order approximation. The validity of the conjecture requires further investigation.

Original languageEnglish
Pages (from-to)148-154
Number of pages7
JournalPractice Periodical of Hazardous, Toxic, and Radioactive Waste Management
Issue number3
Publication statusPublished - 2004 Jul 1

All Science Journal Classification (ASJC) codes

  • Environmental Engineering
  • Chemical Engineering(all)
  • Water Science and Technology
  • Geotechnical Engineering and Engineering Geology


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