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單軸壓縮條件下裂隙粗糙度對滲透系數的影響

Effect of fracture roughness on permeability coefficient under uniaxial compression

  • 摘要: 裂隙粗糙度是影響裂隙巖體滲流特性和流體流動復雜性的重要因素,為了深入研究單軸壓縮條件下粗糙度對滲透系數的影響,采用3D打印技術和數字建模方法制備了粗糙度不同的裂隙試樣,通過自制的試驗裝置對不同法向壓力下的裂隙試樣進行了試驗。結果表明,在沒有法向壓力的條件下,隨著粗糙度的增加,滲透系數以負指數函數形式減小,采用Forchheimer方程定量的分析了滲流流量與水力梯度之間的非線性關系,Forchheimer方程可以很好地描述粗糙裂隙表面的流動過程,線性項系數隨著粗糙度的增大而減小,非線性項系數隨著粗糙度的增大而增大;在恒定法向壓力且大于水壓的條件下,裂隙試樣的滲透系數隨著粗糙度的增大線性減小,隨著水壓的增大,粗糙度對滲透系數的影響作用增強;定義了系數\delta ,分析了在有無法向壓力條件下,粗糙度對滲透系數影響的差異性,\delta 隨著水力梯度的增加而增加,隨著法向壓力的增加而減小。研究結果可以加深對粗糙裂隙表面流體流動的認識,為進一步研究巖體流動特性奠定堅實的基礎。

     

    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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