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Modeling of Foam Flow Using Stochastic Bubble Population Model and Experimental Validation

机译：泡沫随机流动模型的泡沫流动建模与实验验证

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The transient foam flow, i. e. the forward movement of foam front until breakthrough in a one-dimensional flow, in an oil-free porous medium was studied using the stochastic bubble population (SBP) model. The premise of this model is that foam flow in porous media is a complex fluid and bubble generation is a stochastic process. The SBP foam model describes the net bubble generation using three parameters: maximum bubble density and bubble generation and destruction coefficients. The corresponding governing equations, a system of nonlinear partial differential equations in the saturation, pressure and bubble density, were solved using the IMPES method. The sensitivity to the main physical parameters was also analyzed. It was found that the increase in the maximum bubble density leads to the generation of stronger foam, characterized by a slower foam propagation rate and a larger foam mobility reduction. The bubble generation coefficient mainly controlled the foam generation rate such that a higher led to a more rapidly increasing bubble density. A comparison between the numerically obtained saturation and pressure data with those obtained from the experiments at which foam was generated by co-injecting nitrogen and alpha olefin sulfonate surfactant in Bentheimer sandstone was provided. X-ray CT scans were also obtained to visualize the foam displacement process and to determine fluid saturations at different times. A good match was obtained between the numerical and the experimental data, which confirms that the SBP foam model is robust and reproduces the main features of the transient behavior of foam flow in a homogeneous porous media.
机译：瞬时泡沫流动，即。 e。使用随机气泡总体（SBP）模型研究了无油多孔介质中泡沫前沿在一维流动中的向前运动直至突破。该模型的前提是，多孔介质中的泡沫流动是复杂的流体，而气泡的产生是随机过程。 SBP泡沫模型使用三个参数描述了净气泡的产生：最大气泡密度以及气泡的产生和破坏系数。使用IMPES方法求解了相应的控制方程，即饱和度，压力和气泡密度的非线性偏微分方程组。还分析了对主要物理参数的敏感性。发现最大气泡密度的增加导致产生更强的泡沫，其特征在于较慢的泡沫传播速率和更大的泡沫迁移率降低。气泡产生系数主要控制泡沫产生速率，使得较高的气泡产生速率更快地增加了气泡密度。提供了在数值上获得的饱和度和压力数据与通过在Bentheimer砂岩中共注入氮气和α烯烃磺酸盐表面活性剂而产生泡沫的实验所得数据的比较。还获得了X射线CT扫描以可视化泡沫置换过程并确定不同时间的流体饱和度。在数值和实验数据之间获得了良好的匹配，这证实了SBP泡沫模型是鲁棒的，并再现了均质多孔介质中泡沫流动瞬态行为的主要特征。

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