Constitutive Model of Stress-Dependent Seepage in Columnar Jointed Rock Mass

Columnar jointed rock mass (CJRM) is a highly symmetrical natural fractured structure. As the rock mass of the dam foundation of the Baihetan Hydropower Station, the study of its permeability anisotropy is of great significance to engineering safety. Based on the theory of composite mechanics and Goodman’s joint superposition principle, the constitutive model of joints of CJRM is derived according to the Quadrangular prism, the Pentagonal prism and the Hexagonal prism model; combined with Singh’s research results on intermittent joint stress concentration, considering column deflection angles, the joint constitutive model of CJRM in three-dimensional space is established. For the CJRM in the Baihetan dam site area, the Quadrangular prism, the Pentagonal prism and the Hexagonal prism constitutive models were used to calculate the permeability coefficients of CJRM under different deflection angles. The permeability anisotropy characteristics of the three models were compared and verified by numerical simulation results. The results show that the calculation results of the Pentagonal prism model are in good agreement with the numerical simulation results. The variation of permeability coefficient under different confining pressures is compared, and the relationship between permeability coefficient and confining pressure is obtained, which accords with the negative exponential function and conforms to the general rule of joint seepage.

[1]  F. Dai,et al.  Focal mechanism determination for microseismic events and its application to the left bank slope of the Baihetan hydropower station in China , 2018, Environmental Earth Sciences.

[2]  Alireza Baghbanan,et al.  Stress effects on permeability in a fractured rock mass with correlated fracture length and aperture , 2008 .

[3]  Jinzhong Liu,et al.  Nonlinear Creep Damage Constitutive Model of Concrete Based on Fractional Calculus Theory , 2019, Materials.

[4]  B. Singh,et al.  Continuum characterization of jointed rock masses: Part I—The constitutive equations , 1973 .

[5]  B. Tarasov,et al.  Physical Modelling of Stress-dependent Permeability in Fractured Rocks , 2012, Rock Mechanics and Rock Engineering.

[6]  Ronald A. Nelson,et al.  Experimental Study of Fracture Permeability in Porous Rock , 1977 .

[7]  C. Gerrard,et al.  EQUIVALENT ELASTIC MODULI OF A ROCK MASS CONSISTING OF ORTHORHOMBIC LAYERS , 1982 .

[8]  Jonny Rutqvist,et al.  Stress-dependent permeability of fractured rock masses: A numerical study , 2004 .

[9]  C Louis,et al.  DETERMINATION OF IN-SITU HYDRAULIC PARAMETERS IN JOINTED ROCK , 1970 .

[10]  C. Gerrard Elastic models of rock masses having one, two and three sets of joints , 1982 .

[11]  Xiating Feng,et al.  Insights into statistical structural characteristics and deformation properties of columnar jointed basalts: field investigation in the Baihetan Dam base, China , 2018, Bulletin of Engineering Geology and the Environment.

[12]  Nuwen Xu,et al.  Stability assessment of the left bank slope of the Baihetan Hydropower Station, Southwest China , 2018 .

[13]  G. Cho,et al.  Experimental Characterization of Stress- and Strain-Dependent Stiffness in Grouted Rock Masses , 2018, Materials.

[14]  R. Xu,et al.  Improved Method for Measuring the Permeability of Nanoporous Material and Its Application to Shale Matrix with Ultra-Low Permeability , 2019, Materials.

[15]  Wenbin Lu,et al.  Anisotropic constitutive model of pentagonal prism columnar jointed rock mass , 2019, Bulletin of Engineering Geology and the Environment.

[16]  B. Singh,et al.  Continuum characterization of jointed rock masses: Part II—Significance of low shear modulus , 1973 .

[17]  N. Barton,et al.  Strength, deformation and conductivity coupling of rock joints , 1985 .

[18]  N. Barton,et al.  FUNDAMENTALS OF ROCK JOINT DEFORMATION , 1983 .

[19]  Pengjiao Jia,et al.  Seepage–stress coupled analysis on anisotropic characteristics of the fractured rock mass around roadway , 2014 .

[20]  Xiating Feng,et al.  Analysis of EDZ Development of Columnar Jointed Rock Mass in the Baihetan Diversion Tunnel , 2016, Rock Mechanics and Rock Engineering.

[21]  Nong Zhang,et al.  Laboratory Testing of Silica Sol Grout in Coal Measure Mudstones , 2016, Materials.

[22]  Qiang Zhang,et al.  Generation of Numerical Models of Anisotropic Columnar Jointed Rock Mass Using Modified Centroidal Voronoi Diagrams , 2018, Symmetry.