Conditions when anisotropy is negligible for solute transfer in sediment beds of lakes or streams

Qin Qian, Vaughan R Voller, Heinz G. Stefan

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

To reduce the complexity and save computation time, an isotropic and a scalar dispersion model are explored and compared to the anisotropic advection/dispersion model to study the interstitial flow in a stream and lake sediment induced by a periodic pressure wave. In these systems, the solute transport is controlled by the ratio (R=a/(LS)) of the pressure wave steepness (a/L) to the stream slope (S), and the dispersivity ratio (λ=αL/L) that measures the longitudinal dispersivity (αL) relative to the pressure wave length (L). Through a series of numerical experiments, the conclusion is reached that a scalar dispersion model can be applied with satisfactory results for advection-dominated transport, i.e. when R 0.1 and λ0.01, or λ0.0001, i.e. Peclet number (Pe) 10000; an isotropic dispersion model can be applied when R10 or λ0.001, and the full anisotropic advection/dispersion model has to be applied when R>10 and λ>0.001.

Original languageEnglish (US)
Pages (from-to)1542-1550
Number of pages9
JournalAdvances in Water Resources
Volume33
Issue number12
DOIs
StatePublished - Dec 1 2010

Keywords

  • Advection
  • Dispersivity
  • Interstitial flow
  • Model
  • Sediment
  • Solute transfer

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