The discharge of untreated high-salinity mine water will cause harm to the environment, such as the increase of salt content in river water. Capacitive deionization technology has the advantages of low cost, high efficiency, and no pollution. It is an effective means to treat highly mineralized water in the oil field. This paper establishes a simplified mathematical model based on the Nernst Planck equation, combined with porous media flow theory and Langmuir isotherm theory. The capacitive deionization process of NaCl solution by finite element method is simulated. The results show that the convection mass transfer effect of ions in the activated carbon electrodes is weak. When the initial solution ion concentration is equal, the activated carbon cathode can absorb more Cl⁻. In the solution with an initial concentration of 1.7 mol/m³, when the electrode adsorption reaches saturation, the concentration of Cl⁻ is 0.1 mm lower than that of Na⁺. In the capacitive deionization process using activated carbon electrodes, the desalting efficiency of ions is almost proportional to the voltage and inversely proportional to the liquid flow rate. In a relatively low concentration solution, the desalination effect of using activated carbon as electrodes is better.

未经处理的高盐矿井水的排放会对环境造成危害，例如河水中含盐量的增加。电容去离子技术具有成本低、效率高、无污染等优点。是处理油田高矿化水的有效手段。本文基于能斯特普朗克方程，结合多孔介质流动理论和朗缪尔等温线理论，建立了一个简化的数学模型。用有限元法模拟了NaCl溶液的电容去离子过程。结果表明，活性炭电极中离子的对流传质作用较弱。当初始溶液离子浓度相等时，活性炭阴极可以吸收更多的Cl ^-. 在初始浓度为1.7 mol/m ³的溶液中，当电极吸附达到饱和时，Cl ^-的浓度比Na ⁺的浓度低0.1 mm 。在使用活性炭电极的电容去离子过程中，离子的脱盐效率几乎与电压成正比，与液体流速成反比。在相对较低浓度的溶液中，使用活性炭作为电极的脱盐效果更好。