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Non-classical regimes of colloid-facilitated impurity transport in statistically homogeneous double porosity media

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  • Kutsepalov, V.A.
  • Matveev, L.V.

Abstract

In the context of impurity transport study it is shown how complexity of the system leads to emergence of anomalous transport regimes, moreover the power-law behavior of which changes with time. Specifically, a model of nonequillibrium colloid-facilitated transport in statistically homogeneous double porosity media is presented and possible transport regimes are simulated. Depending on the medium and colloids characteristics different sequences of transport regimes can realize. Temporal interval exists where anomalous transport regimes (sub-diffusion and quasi-diffusion) occur. At asymptotically large times the transport is described by the classical advection-diffusion with modified parameters.

Suggested Citation

  • Kutsepalov, V.A. & Matveev, L.V., 2015. "Non-classical regimes of colloid-facilitated impurity transport in statistically homogeneous double porosity media," Chaos, Solitons & Fractals, Elsevier, vol. 81(PB), pages 480-486.
    • Handle: RePEc:eee:chsofr:v:81:y:2015:i:pb:p:480-486
    DOI: 10.1016/j.chaos.2015.07.024
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    1. Matveev, L.V., 2014. "Anomalous nonequilibrium transport simulations using a model of statistically homogeneous fractured-porous medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 119-130.
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