Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, United Kingdom.
Phys Rev E. 2018 May;97(5-1):053104. doi: 10.1103/PhysRevE.97.053104.
Pore-scale two-phase flow modeling is an important technology to study a rock's relative permeability behavior. To investigate if these models are predictive, the calculated pore-scale fluid distributions which determine the relative permeability need to be validated. In this work, we introduce a methodology to quantitatively compare models to experimental fluid distributions in flow experiments visualized with microcomputed tomography. First, we analyzed five repeated drainage-imbibition experiments on a single sample. In these experiments, the exact fluid distributions were not fully repeatable on a pore-by-pore basis, while the global properties of the fluid distribution were. Then two fractional flow experiments were used to validate a quasistatic pore network model. The model correctly predicted the fluid present in more than 75% of pores and throats in drainage and imbibition. To quantify what this means for the relevant global properties of the fluid distribution, we compare the main flow paths and the connectivity across the different pore sizes in the modeled and experimental fluid distributions. These essential topology characteristics matched well for drainage simulations, but not for imbibition. This suggests that the pore-filling rules in the network model we used need to be improved to make reliable predictions of imbibition. The presented analysis illustrates the potential of our methodology to systematically and robustly test two-phase flow models to aid in model development and calibration.
孔隙尺度两相流模型是研究岩石相对渗透率行为的重要技术。为了研究这些模型是否具有预测能力,需要对确定相对渗透率的计算孔隙尺度流体分布进行验证。在这项工作中,我们引入了一种方法,通过微计算机断层扫描可视化的流动实验,定量比较模型与实验流体分布。首先,我们分析了单个样本上的五个重复排水-吸水实验。在这些实验中,逐孔的精确流体分布并不完全重复,而流体分布的全局性质是重复的。然后,我们使用两个分流量实验来验证拟静态孔隙网络模型。该模型正确预测了在排水和吸水过程中 75%以上的孔隙和喉道中存在的流体。为了量化这对流体分布的相关全局性质意味着什么,我们比较了模型和实验流体分布中不同孔径的主要流动路径和连通性。排水模拟的这些基本拓扑特征匹配良好,但吸水模拟则不然。这表明,我们使用的网络模型中的孔隙填充规则需要改进,以对吸水进行可靠的预测。所提出的分析说明了我们的方法在系统和稳健地测试两相流模型以辅助模型开发和校准方面的潜力。