A Comparative Study for Application of Pitzer and ePC-SAFT Equations to Predict Volumetric and Saturation Properties in
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A Comparative Study for Application of Pitzer and ePC‑SAFT Equations to Predict Volumetric and Saturation Properties in “Formation” Water Iman Barzinejad1 · Mehdi Assareh1 · Mohammad Reza Dehghani1 Received: 10 August 2019 / Accepted: 19 April 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Predictions of salt solubility, brine vapor pressure and density are necessary to plan subsurface and surface operations. In this work, a comparative study was conducted to investigate prediction capabilities for salt solubility, equilibrium and volumetric properties of several minerals in “Formation” water by the Pitzer model (a commonly used industrial model) and by the ePC-SAFT equation of state (EOS). To achieve this, several validation and comparison steps were considered for reliable implementation of both models. Firstly, solubility, brine densities and vapor pressures for single-salt solutions were predicted. Afterward, the models’ applications were extended to several mixtures of two salts to predict solubility compared to experimental data from available literature. ePC-SAFT shows promising accuracy. The average relative deviation for prediction of liquid density (which cannot be estimated with the Pitzer model) for single-salt solutions of NaBr, KCl, NaCl and Na2SO4 are 1.13%, 0.70%, 1.02% and 0.36%, respectively. The average relative deviation from experimental data of vapor pressure for mixtures of NaCl and KBr is 0.75% and for mixtures of NaBr and KCl is 0.74% for systems with different concentrations. Moreover, a stochastic regression procedure is presented to evaluate the ePC-SAFT parameters. This technique is used for strontium in different salt solutions. The average relative deviation for mean ionic activity coefficients calculated by ePC-SAFT from experimental data using the ePC-SAFT parameters of strontium from the work of Held et al. [1] for single-salt solutions of strontium chloride, strontium bromide, strontium iodide, strontium nitrate and strontium perchlorate are 19.73%, 19.96%, 15.15%, 14.95% and 25.70%, respectively. These values using the ePC-SAFT parameters of strontium regressed in this work are 6.98%, 10.13%, 8.33%, 9.59% and 10.08%, respectively. Finally, the solubility of different salts was studied for mixing of formation water (FW) and injection water (SW). Keywords Salt precipitation · Water · Pitzer model · ePC-SAFT · Water injection Abbreviations a Helmholtz free energy * Mehdi Assareh [email protected] 1
School of Chemical, Petroleum and Gas Engineering, Iran University of Science and Technology, 16846‑13114 Tehran, Iran
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Vol.:(0123456789)
Journal of Solution Chemistry
aH2 O Water activity K Equilibrium constant [ ] kB = 1.38065 × 10−23 J ⋅ K−1 Boltzmann constant M Concentration P[Pa] ] [ Pressure R J ⋅ mol−1 ⋅ K−1 Ideal gas constant T[K] Temperature x Mole fraction Z Compressibility factor [ ] 𝜌N Å−3 Number density 𝜂 Reduced density ] [ 𝜅 Å−1 Inverse Debye screening length 𝜇 Chemical potential 𝜑 Fugacity coefficient Δ
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