论文标题
修补Hele-Shaw细胞以研究断裂网络中低雷诺数的流动
Patching Hele-Shaw cells to investigate the flow at low Reynolds number in fracture networks
论文作者
论文摘要
这项研究发现了一种新型的计算有效方法，可以通过裂缝网络在低雷诺数下进行建模流动。通过连接Hele-shaw细胞来研究交叉路口与给定入口和出口压力值的压力场和液压电阻的效果进行数值分析。在此分析中，研究了相交长度，相交角和断裂孔径对流体流动的影响。为此，建立了两个具有不同拓扑结构的模型。 Hele-Shaw仿真的液压电阻，压力和速度的结果与通过求解完整的Navier-Stokes方程（NSE）获得的结果一致。结果表明相交长度和液压电阻之间有大约线性关系。具体而言，相交长度的增加会增加流速，结果，交叉路口长度的压力减小。与NSE相比，使用Hele-Shaw近似相关的误差小于2％。所有研究均在雷诺数范围为1-10范围内进行。
This research has found a novel computational efficient method of modelling flow at low Reynolds number through fracture networks. The numerical analysis was performed by connecting Hele-Shaw cells to investigate the effect of the intersection to the pressure field and hydraulic resistance for given inlet and outlet pressure values. In this analysis, the impact of intersecting length, intersecting angle and fracture aperture on the fluid flow was studied. For this purpose, two models with different topologies were established. The Hele-Shaw simulation results for hydraulic resistance, pressure and velocity agreed well with results obtained by solving the full Navier-Stokes equations (NSE). The results indicated an approximately linear relationship between intersection length and hydraulic resistance. Specifically, an increase in the intersection length increases the flow rate and as a result, the pressure along the intersection length decreases. The error associated with employing the Hele-Shaw approximation in comparison with NSE is less than 2%. All Investigations were performed in the Reynolds Number range of 1-10.
