Peter S Kondratenko

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We investigate colloid-facilitated contaminant advection in strongly heterogeneous geological medium with fractal properties. Transport regimes and asymptotic behavior at large distances are studied for different relationships between sorption parameters and characteristics of percolation medium. Crossover times between transport regimes are determined.
Advection flow is a dominating physical mechanism of contaminant transport over geologic fractured media. Natural fractures often combine into percolation cluster, having fractal properties. As a result long-ranged correlations arise in the fluctuating velocity field of infiltration flux. The presence of preferred direction due to the gravity force leads to(More)
We study the transport of impurity particles on a comb structure in the presence of advection. The main body concentration and asymptotic concentration distributions are obtained. Seven different transport regimes occur on the comb structure with finite teeth: classical diffusion, advection, quasidiffusion, subdiffusion, slow classical diffusion, and two(More)
The problem of tracer advection in random self-similar (fractal) media with strong anisotropy is solved. Transport regimes and concentration tails are described depending on the rate of velocity correlation function decay and on the degree of anisotropy. The influence of the finite correlation length of the fractal medium on transport regimes is analyzed.(More)
We investigate tracer advection in fractal media with finite correlation length. The process is superdiffusive at early times and transforms to a classical diffusion regime later. At large time the spatial tail of the concentration has a two-stage structure with a long-distant part corresponding to superdiffusive regime.
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