Effects of incomplete mixing on multicomponent reactive transport

A. M. Tartakovsky, G. D. Tartakovsky, T. D. Scheibe

Research output: Contribution to journalArticlepeer-review


Darcy-scale description of multicomponent reactive transport can significantly over-predict the extent of mixing-controlled reactions. Here we present a systematic pore- and Darcy-scale study of multicomponent reactive transport for various Peclet (Pe) and Damkohler (Da) numbers. We use pore-scale simulations to parameterize and validate Darcy-scale model. Our results reveal that for small Pe, the Darcy-scale model of mixing-controlled reactions is accurate, but its accuracy deteriorates with increasing Pe. The dilution index is calculated based on the pore-scale simulations as a measure of the degree of true solute mixing (dilution) for different Pe. We find that true mixing decreases with increasing Pe. A strong correlation is found between the magnitude of the dilution index and the error in the Darcy-scale model prediction. The error (over-prediction of the mass of a product of the mixing-controlled reaction) increases with decreasing dilution index (reduced dilution).

Original languageEnglish (US)
Pages (from-to)1674-1679
Number of pages6
JournalAdvances in Water Resources
Issue number11
StatePublished - Nov 2009
Externally publishedYes


  • Dilution index
  • Mixing
  • Reactive transport

ASJC Scopus subject areas

  • Water Science and Technology


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