中高温地热生产井中含多组分非凝析气体的地热流体相变流动和闪蒸深度评价

Assessment of flow with phase transition of geothermal fluids containing multi-component non-condensable gases and flash depth in medium-high temperature geothermal production wells

  • 摘要: 含多组分非凝析气体的地热流体在井筒中的相变流动是中高温地热生产井产能、闪蒸深度和防垢除垢评价的重要基础。首先基于气体逸度–液体活度模型,构建了温度20~300 ℃,压力0.1~60.0 MPa条件下的含CO2和CH4非凝析气体的地热流体气–液两相多组分的相互溶解度模型和属性(包括密度、黏度和焓值)计算模型,并与前人的结果进行了对比验证。然后,根据质量守恒、能量守恒和动量守恒方程,联合两相的热力学平衡模型和气−液速度的漂移流模型,建立了CO2–CH4–H2O体系一维井筒相变稳定流动模型,并提出了“由下至上”逐步迭代的稳健求解方法,能够准确预测中高温地热生产井开采过程中的含多组分非凝析气体的地热流体相态、相变流动过程及闪蒸深度。选取匈牙利、土耳其和中国西藏地区3口典型地热井作为研究对象,基于其实际条件,评价了井筒中的相变流动过程。结果显示:非凝析气体对井筒中的地热流体的相变位置和相变流动有重要的影响,相同含量的CO2和CH4,由于CH4的低溶解度,CH4更加容易从液相中析出形成气相,从而显著增加相变的深度。井筒压力和温度分布受相变影响显著,相变位置越深,相变程度越高,井筒的平均压力和温度也越大。井底温度、压力以及CO2和CH4的总含量和相对含量决定了整个井筒相变流动特征。井筒相变流动模型可以准确预测闪蒸深度,而常用的压力梯度识别方法可以近似估算相变流动的深度范围,只有在气化程度高的地热井才能较准确地识别闪蒸深度。

     

    Abstract: The flow with phase transition of geothermal fluids containing multi-component non-condensable gases in the wellbore is an important basis for evaluating the productivity, flash depth, and scale inhibition/removal of medium-to-high temperature geothermal production wells. Based on fugacity models for the gas mixtures and activity models for the liquid mixtures, a mutual solubility model and property calculation models (including density, viscosity, and enthalpy) for geothermal fluid containing non-condensable gases of CO2 and CH4 were established for temperatures up to 300 ℃ and pressures up to 60 MPa, and were validated against previous results. Then, according to the conservation laws of mass, energy, and momentum, combined with the two-phase thermodynamic equilibrium model and the drift-flux model for gas-liquid velocity, a one-dimensional steady-state wellbore flow model with phase change for the CO2–CH4–H2O system is developed. A robust “bottom-up” stepwise iterative solution method was proposed to accurately predict the phase behavior, flow process with phase change, and flash depth of geothermal fluids containing multi-component non-condensable gases during the production of medium-to-high temperature geothermal wells. Based on the conditions of three typical geothermal wells in Hungary, Turkey, and China, the phase-change flow processes in the wellbore were evaluated. The results show that non-condensable gases have a significant influence on the phase-change location and phase-change flow of geothermal fluids in the wellbore. For the same content of CO2 and CH4, due to the low solubility of CH4, CH4 is more likely to exsolve from the liquid phase to form a gas phase, thereby significantly increasing the flash depth. The wellbore pressure and temperature distributions are strongly affected by phase change: the deeper the phase-change location and the higher the degree of phase change, the greater the average wellbore pressure and temperature. The bottom-hole temperature, pressure, and the total and relative contents of CO2 and CH4 determine the characteristics of the phase-change flow throughout the wellbore. The wellbore phase-change flow model can accurately predict the flash depth, while the commonly used pressure-gradient identification method can approximately estimate the depth range of two-phase flow. Only in geothermal wells with a high degree of vaporization can the flash depth be identified more accurately.

     

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