Simulation of contaminant transport in a fractured porous aquifer

Sergei Fomin, Vladimir Chugunov, Toshiyuki Hashida

Research output: Contribution to journalArticlepeer-review

Abstract

Solute transport in the fractured porous confined aquifer is modeled by the advection-dispersion equation with fractional time derivative of orderγy, which may vary from 0 to 1. Accounting for diffusion in the surrounding rock mass leads to the introduction of an additional fractional time derivative of order 1/2 in the equation for solute transport. The closed-form solutions for concentrations in the aquifer and surrounding rocks are obtained for the arbitrary time-dependent source of contamination located in the inlet of the aquifer. Based on these solutions, different regimes of contamination of the aquifers with different physical properties are modeled and analyzed.

Original languageEnglish
Pages (from-to)1157-1163
Number of pages7
JournalJournal of Fluids Engineering, Transactions of the ASME
Volume129
Issue number9
DOIs
Publication statusPublished - 2007 Sep 1

Keywords

  • Closed-form solutions
  • Contamination
  • Fractional-in-time derivative
  • Fractured aquifer
  • Porous blocks
  • Solute transport

ASJC Scopus subject areas

  • Mechanical Engineering

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