Research Article

Calculation of Elastic Modulus for Fractured Rock Mass Using Dimensional Analysis Coupled with Numerical Simulation

Table 2

The physical and mechanical parameters of Zhengxing Iron Mine.

Physical quantitiesInitial valueFinal value

Parallel fractures of aperture B (m)1 × 10−4∼5 × 10−31 × 10−5∼1 × 10−1
Depth of the goaf H (m)120∼3201 × 102∼1 × 103
Span of the goaf l (m)3.0∼160.0
Exposed area of the goaf A (m2)2.4 × 103∼1 × 1042.4 × 103∼1 × 104
Height of the goaf h (m)10.0∼50.010.0∼50.0
Parallel fractures of spacing S (m)0.05∼10.01.0
Elastic modulus of the rock E (GPa)50.050.0
Width of the goaf (m)20.020.0
Bulk weight of rock mass γ (kN/m3)27.027.0
Gravitational acceleration (m/s2)9.89.8
Poisson's ratio υ0.250.25
Kinematic viscosity of water (20°C) μk (m2/s)1.01 × 10−61.01 × 10−6
Elastic modulus reduction ratio Rm0.8