Comprehensive thermodynamic modeling of saline water with electrolyte NRTL model: A study on aqueous Ba2+-Na+-Cl-SO42− quaternary system

Soraya Honarparvar, Sina Hassanjani Saravi, Danny Reible, Chau Chyun Chen

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We present a thermodynamic model based on electrolyte nonrandom two-liquid theory (eNRTL) for aqueous Ba2+-Na+-Cl-SO42− quaternary system. This study is part of a larger effort to develop an accurate and comprehensive thermodynamic model for high salinity produced water from oil and gas production. The quaternary system is one of the critical subsystems that cause scaling problems with high salinity brine solution. We obtain the eNRTL binary interaction parameters including their temperature dependence for the H2O:(Ba2+-Cl) pair and the (Ba2+-Cl):(Na+-Cl) pair based on regression of available literature data. For the H2O:(Ba2+-SO42−) pair, the binary interaction parameters corresponding to the Debye-Hückel theory are adopted. The binary interaction parameters for the (Ba2+-SO42−):(Na+-SO42−) pair and the (Ba2+-Cl):(Ba2+-SO42−) pair are considered to be zero. Further incorporating the eNRTL binary interaction parameters from the literature for the molecule-electrolyte pairs of H2O:(Na+-Cl) and H2O:(Na+-SO42−) and the electrolyte-electrolyte pair of (Na+-Cl):(Na+-SO42−), the model accurately calculates all thermodynamic and calorimetric properties for the quaternary system. In addition, it predicts reliably solubilities of barium sulfate and its scaling potential in the quaternary system.

Original languageEnglish
Pages (from-to)29-38
Number of pages10
JournalFluid Phase Equilibria
StatePublished - Sep 15 2017


  • Barium chloride
  • Barium sulfate
  • Brine solution
  • Produced water
  • Solubility
  • Thermodynamic modeling
  • eNRTL


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