Approximate models for bacteria leaching through porous media

V Shcherbakov, G Horgan, I Molchanov, S Zuyev

Research output: Contribution to journalArticle

Abstract

To study leaching of bacteria through complex soils, the researcher has to employ numerical methods as the known theoretical methods available are too restricted. Direct simulation of diffusion faces the problem of absence of statistical stability as the diffusion times vary dramatically between different realisations and soil samples. We propose an approximation to the original leaching problem which is fast to simulate and is shown to give reliable approximation to the exit times in the whole range of parameter values including the problematic values that exhibit extreme behaviour. In addition, we have shown that a completely different type of pore structure, such as produced by tunnels through the soil, does not greatly affect diffusive properties when we are not close to the percolation threshold.
Original languageEnglish
Pages (from-to)14
Number of pages1
JournalApplied Mathematics and Computation
Publication statusPublished - 2007

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Leaching
Approximate Model
Bacteria
Porous Media
Porous materials
Soil
Soils
Exit Time
Percolation Threshold
Approximation
Pore structure
Tunnel
Numerical methods
Tunnels
Extremes
Numerical Methods
Vary
Range of data
Simulation

Cite this

Shcherbakov, V., Horgan, G., Molchanov, I., & Zuyev, S. (2007). Approximate models for bacteria leaching through porous media. Applied Mathematics and Computation, 14.

Approximate models for bacteria leaching through porous media. / Shcherbakov, V; Horgan, G; Molchanov, I; Zuyev, S.

In: Applied Mathematics and Computation, 2007, p. 14.

Research output: Contribution to journalArticle

Shcherbakov, V, Horgan, G, Molchanov, I & Zuyev, S 2007, 'Approximate models for bacteria leaching through porous media', Applied Mathematics and Computation, pp. 14.
Shcherbakov, V ; Horgan, G ; Molchanov, I ; Zuyev, S. / Approximate models for bacteria leaching through porous media. In: Applied Mathematics and Computation. 2007 ; pp. 14.
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