The effect of non-Fickian diffusion into surrounding rocks on contaminant transport in a fractured porous aquifer

Sergei Fomin, Vladimir Chugunov, Toshiyuki Hashida

研究成果: Article査読

20 被引用数 (Scopus)

抄録

Solute transport in a fractured porous confined aquifer is modelled by using an equation with a fractional-in-time derivative of order γ, which may vary from 0 to 1. Accounting for non-Fickian diffusion into the surrounding rock mass, which is modelled by a fractional spatial derivative of order α, leads to the introduction of an additional fractional-in-time derivative of order α/(1+α) in the equation for solute transport. Closed-form solutions for solute concentrations in the aquifer and surrounding rocks are obtained for an arbitrary time-dependent source of contamination located at the inlet of the aquifer. Based on these solutions, different regimes of contaminant transport in aquifers with various physical properties are modelled and analysed.

本文言語English
ページ(範囲)2923-2939
ページ数17
ジャーナルProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
461
2061
DOI
出版ステータスPublished - 2005 8 9

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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