Quantification of Gas Exsolution Dynamics for CO2/CH4-Heavy Oil Systems with Population Balance Equations

Xiaomeng Dong, Zulong Zhao, Daoyong Yang, Na Jia
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Abstract

Although foamy oil phenomenon has been considered as the key factor that dominates heavy oil recovery, the existing models cannot be used to accurately quantify gas exsolution dynamics in foamy oil under various conditions due to the inherent physics and complex flow behaviour. In this study, experimental and theoretical techniques have been developed to quantify gas exsolution dynamics of CO2/CH4-heavy oil systems while considering gas bubble nucleation mobilization, and binary coalescence. Experimentally, constant composition expansion (CCE) tests were performed with a sealed PVT apparatus for the CO2/CH4-heavy oil systems to induce foamy oil behaviour by gradually depleting pressure at a constant temperature, during which the pressures and volume changes were monitored and recorded continuously. Theoretically, the Fick's law, equation of state, classical nucleation theory, and population balance equation have been integrated to describe the gas exsolution dynamics, during which gas bubbles are discretized with the fixed-pivot technique. The gas bubble number and size distribution in the induced foamy oil can then be determined once the deviations between the measured and calculated parameters, including liquid volume and pseudo-bubble point pressure, have been minimized with the genetic algorithm. For both CO2- and CH4-heavy oil systems, not only can a reducing pressure depletion rate or an increasing temperature result in a higher pseudo-bubblepoint pressure, but also gas bubble growth is strongly dependent on both temperature and diffusion of a gas component in heavy oil, while increasing the solvent concentration in the heavy oil tends to hinder the gas bubble nucleation and mitigation due to the higher pressure set for the experiments. During the generation of foamy oil, a higher temperature reduces heavy oil viscosity to accelerate the diffusion process, positively contributing to the gas bubble nucleation, binary coalescence, and bubble mobilization, respectively. Compared with CO2, CH4 induces a stronger and more stable foamy oil, illustrating that, at a lower temperature, foamy oil is more stable with more dispersed gas bubbles. In this study, the newly developed theoretical techniques are able to reproduce gas exsolution dynamics at the bubble level, allowing us to seamlessly integrate them with any reservoir simulators to not only accurately characterize foamy oil behaviour, but also evaluate the associated recovery performance.
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利用种群平衡方程量化二氧化碳/CH4-重油系统的气体溶出动力学
尽管泡沫油现象一直被认为是影响重油采收率的关键因素,但由于其固有的物理特性和复杂的流动行为,现有模型无法用于准确量化各种条件下泡沫油中的气体溶出动力学。本研究开发了实验和理论技术,以量化 CO2/CH4 重油体系的气体外溶解动力学,同时考虑气泡成核动员和二元凝聚。在实验方面,对 CO2/CH4 重油体系使用密封的 PVT 仪器进行了恒定成分膨胀(CCE)试验,通过在恒定温度下逐渐降低压力来诱导泡沫油行为,在此期间对压力和体积变化进行了连续监测和记录。理论上,费克定律、状态方程、经典成核理论和种群平衡方程被综合用来描述气体外溶解动力学,在此过程中,气泡被固定支点技术离散化。利用遗传算法将测量和计算参数(包括液体体积和伪泡点压力)之间的偏差最小化后,就可以确定诱导泡沫油中的气泡数量和大小分布。对于 CO2-和 CH4-重油体系,不仅减压率降低或温度升高会导致伪泡点压力升高,而且气泡的增长与温度和气体成分在重油中的扩散密切相关,而由于实验设定的压力较高,增加重油中的溶剂浓度往往会阻碍气泡的成核和缓解。在泡沫油生成过程中,较高的温度会降低重油粘度,从而加速扩散过程,分别对气泡成核、二元凝聚和气泡移动起到积极作用。与 CO2 相比,CH4 引发的泡沫油更强、更稳定,说明在较低温度下,泡沫油更稳定,气泡更分散。在这项研究中,新开发的理论技术能够在气泡水平上再现气体外溶解动力学,使我们能够将其与任何储层模拟器无缝集成,不仅能准确描述泡沫油的行为特征,还能评估相关的采收性能。
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