In this paper, we explore single-phase flow in pores with triangular cross-sections at the pore-scale level. We use analytic and asymptotic methods to calculate the hydraulic conductivity in triangular pores, a typical geometry used in network models of porous media flow. We present an analytical formula for hydraulic conductivity based on Poiseuille flow that can be used in network models contrasting the typical geometric approach leading to many different estimations of the hydraulic conductivity. We consider perturbations to an equilateral triangle by changing the length of one of the triangle sides. We look at both small and large triangles in order to capture triangles that are near and far from equilateral. In each case, the calculations are compared with numerical solutions and the corresponding network approximations. We show that the analytical solution reduces to a quantitatively justifiable formula and agrees well with the numerical solutions in both the near and far from equilateral cases.

在本文中，我们探索了在孔隙尺度水平上具有三角形横截面的孔隙中的单相流动。我们使用分析和渐近方法来计算三角形孔中的水力传导率，三角形孔是多孔介质流网络模型中使用的典型几何形状。我们提出了一种基于Poiseuille流量的水力传导率分析公式，该公式可用于网​​络模型，与典型的几何方法进行对比，从而得出许多不同的水力传导率估算值。我们通过改变三角形边之一的长度来考虑对等边三角形的摄动。我们同时查看大三角形和小三角形，以捕获接近和远离等边三角形。在每种情况下，将计算结果与数值解和相应的网络近似值进行比较。