This study uses experimental data of pore-scale foam flow inside a high-complexity network to fit a graph-based model describing preferential flow paths using microstructural characteristics of the porous medium. Two experiments, with equal gas fractions but varying injection rates, are modeled in parallel. Proposed paths are solution paths to the k-Shortest Paths with Limited Overlap (k-SPwLO) problem, applied to a graph representation of the porous medium with edge weights representing local throat properties. A 1-parameter model based on throat radius only is tested before integrating a second parameter, describing the alignment of the pores surrounding the throat with respect to the injection pressure gradient. The preferential paths observed in both experiments differ in quantity and with respect to the specific porous zones used. As such, the best fit preferential path models for either experiment show different dependencies on the microstructural parameters. The optimized model for the high injection rate experiment markedly shows a dependence on the pore alignment with pressure gradient as well as throat size, whereas the lower injection rate experiment was best fitted to a model that only includes the throat radius. Overall, the graph-based framework was able to capture many high-flow zones in various model parameter combinations, perhaps as consequence of the relatively spiked throat size distribution of the model.

中文翻译：

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使用基于图形的 2 参数模型访问 2D 微模型中的优先泡沫流动路径

本研究使用高复杂性网络内孔隙尺度泡沫流动的实验数据来拟合基于图形的模型，该模型使用多孔介质的微观结构特征描述优先流动路径。两个具有相同气体分数但不同注入速率的实验被并行建模。建议的路径是 k-Shortest Paths with Limited Overlap (k-SPwLO) 问题的解路径，应用于多孔介质的图形表示，边缘权重表示局部喉道特性。在对第二个参数进行积分之前测试仅基于喉道半径的 1 参数模型，第二个参数描述了喉道周围的孔隙相对于注入压力梯度的排列。在两个实验中观察到的优先路径在数量和使用的特定多孔区域方面不同。因此，任一实验的最佳拟合优先路径模型显示出对微观结构参数的不同依赖性。高注入速率实验的优化模型显着显示了孔隙排列与压力梯度以及喉道尺寸的相关性，而低注入速率实验最适合仅包含喉道半径的模型。总体而言，基于图形的框架能够在各种模型参数组合中捕获许多高流量区域，这可能是模型喉部尺寸分布相对尖峰的结果。高注入速率实验的优化模型显着显示了孔隙排列与压力梯度以及喉道尺寸的相关性，而低注入速率实验最适合仅包含喉道半径的模型。总体而言，基于图形的框架能够在各种模型参数组合中捕获许多高流量区域，这可能是模型喉部尺寸分布相对尖峰的结果。高注入速率实验的优化模型显着显示了孔隙排列与压力梯度以及喉道尺寸的相关性，而低注入速率实验最适合仅包含喉道半径的模型。总体而言，基于图形的框架能够在各种模型参数组合中捕获许多高流量区域，这可能是模型喉部尺寸分布相对尖峰的结果。