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

Table 1

Units and dimensions of physical quantities.

Physical quantities	Symbol	Unit	Dimensions
Seepage flow in the goaf	Q	m^3/s	L3T-1
Parallel fractures of aperture	B	m	L
Parallel fractures of spacing	S	m	L
Depth of the goaf	H	m	L
Exposed area of the goaf	A	m^2	L^2
Height of the goaf	h	m	L
Bulk weight of rock mass	γ	kg/(m^2s^2)	ML-2T-2
Gravitational acceleration		m/s^2	LT-2
Elastic modulus of the fractured rock mass	Em	kg/(ms^2)	ML-1T-2