单轴压缩条件下裂隙粗糙度对渗透系数的影响

Effect of fracture roughness on permeability coefficient under uniaxial compression

  • 摘要: 裂隙粗糙度是影响裂隙岩体渗流特性和流体流动复杂性的重要因素,为了深入研究单轴压缩条件下粗糙度对渗透系数的影响,采用3D打印技术和数字建模方法制备了粗糙度不同的裂隙试样,通过自制的试验装置对不同法向压力下的裂隙试样进行了试验。结果表明,在没有法向压力的条件下,随着粗糙度的增加,渗透系数以负指数函数形式减小,采用Forchheimer方程定量的分析了渗流流量与水力梯度之间的非线性关系,Forchheimer方程可以很好地描述粗糙裂隙表面的流动过程,线性项系数随着粗糙度的增大而减小,非线性项系数随着粗糙度的增大而增大;在恒定法向压力且大于水压的条件下,裂隙试样的渗透系数随着粗糙度的增大线性减小,随着水压的增大,粗糙度对渗透系数的影响作用增强;定义了系数\delta ,分析了在有无法向压力条件下,粗糙度对渗透系数影响的差异性,\delta 随着水力梯度的增加而增加,随着法向压力的增加而减小。研究结果可以加深对粗糙裂隙表面流体流动的认识,为进一步研究岩体流动特性奠定坚实的基础。

     

    Abstract: The surface roughness of natural rock-fractures is an important factor affecting the fractured rock mass flow characteristics and further complicating the flow process in the natural fractures. To further study the influence of the fracture surface roughness on the permeability coefficient under uniaxial compression and different hydraulic pressures, 3D printing technology and digital modeling were utilized to prepare the fracture specimens with different fracture surface roughnesses and laboratory permeability tests were conducted through a self-made testing device under different normal pressures and different hydraulic pressures. The experimental results show that in the absence of normal pressure, the rough fracture specimens permeability decreases in a negative exponential form with the increase in the fracture surface roughness. The Forchheimer equation is used to quantitatively describe the nonlinear relationship between seepage flow rate and hydraulic gradients. The regression analyses of the experimental data indicate that the Forchheimer equation provides a good description of the flow process through the rough fracture surface. With the increase in the fracture surface roughness, the linear term coefficient decreases, while the nonlinear term coefficient increases. Under the conditions of fixed normal pressure and normal pressure greater than hydraulic pressure, the fracture specimens permeability decreases linearly with the increase in the fracture surface roughness, and the influence of the fracture surface roughness on the permeability increases with the increase in the hydraulic pressure. The coefficient \delta was used to analyze the difference between the influences of fracture surface roughness on the permeability under normal pressure and without normal pressure. The coefficient \delta increases with the increase in the hydraulic gradients and decreases with the increase in the normal pressure. The results can further clarify the fluid flow through rough fracture surfaces and provide a solid foundation for further research in the fields of rock mass flow characteristics.

     

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