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基于人工交叉裂隙模型,通过室内透水试验,得到了不同进口与出口组合时的流量和压力变化的关系曲线。同时结合串联裂隙水力学开度的计算公式,利用最小二乘法求解超静定方程组,计算交叉裂隙中每个裂隙单元的水力学开度。通过拓扑得到裂隙交叉点的几何尺寸,并求解Navier-Stokes方程,研究裂隙交叉对其水力特性的影响。结果表明,通过室内试验和串联裂隙水力学开度计算公式相结合的方法,可以准确计算每个裂隙单元的水力学开度。当雷诺数Re较小时,交叉点内部的流体成稳态层流流动;当雷诺数较大(比如Re≥100)时,可以观测到明显的漩涡,说明流体的惯性力远大于黏性力,经典的立方定律不再适用。对于1个进口2个出口的情况,出口的流量分配比率与雷诺数成二次函数关系,随着雷诺数的增大,流量分配比率的非线性越来越明显,其最大分配比率变化超过15%。出口的水力学开度e与初始水力学开度(即力学开度E0)的比值e/E0和雷诺数Re也具有二次函数关系。当Re<1时,e=E0呈线性关系;当110时,e/E0呈现出较强的非线性;利用该关系式可以得到修正的立方定律,从而进一步求解交叉裂隙的水力特性问题。
Based on the artificial cross-fracture model, the relationship between the flow rate and pressure at different inlet and outlet combinations was obtained through the indoor water permeation test. At the same time, with the calculation formula of opening degree of series fracture hydraulics, the equations of statics are solved by the least square method, and the hydraulic opening of each fracture cell in the cross fracture is calculated. The geometry of the intersection of fractures is obtained by topology, and the Navier-Stokes equation is solved to study the influence of the intersection of fractures on the hydraulic characteristics. The results show that the hydraulic opening of each fracture cell can be accurately calculated by a combination of indoor test and calculation formula of hydraulic opening of series fracture. When the Reynolds number Re is small, the fluid inside the intersection becomes steady-state laminar flow. When the Reynolds number is large (for example, Re≥100), the obvious vortex can be observed, indicating that the fluid’s inertial force is much larger than the viscous force, The classical law of cubes no longer applies. For one export with two exits, the distribution ratio of export flow is a quadratic function with the Reynolds number. As the Reynolds number increases, the nonlinearity of the flow distribution ratio becomes more and more obvious, and the maximum distribution ratio changes more than 15 %. The ratio e / E0 and the Reynolds number Re at the outlet of hydraulics opening e and initial hydraulics opening degree (ie, the mechanical opening E0) also have a quadratic function. When Re <1, e = E0 has a linear relationship. When 1
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