Stress-dependent mechanical properties and bounds of Poisson’s ratio for fractured rock masses investigated by a DFN-DEM technique

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Min, Ki-Bok; Jing, L.
Issue Date
Int J Rock Mech Min Sci 2004;41:431-2
Fractured rock massesStress-dependencyPoisson’s ratioAnisotropyDFN-DEMUDEC
Stress-dependent mechanical properties and bounds of Poisson’s ratios for fractured rock masses are investigated using the
distinct element method code (UDEC) with the Barton–Bandis (BB) fracture model, with stochastic multiple fracture system models
constructed by the discrete fracture network (DFN) approach. Numerical experiments are conducted on both a transversely
isotropic model crossed by one parallel fracture set and 10 more realistic random DFN models. The transversely isotropic model is
investigated by an analytical solution with constant stiffnesses and by a numerical method using the UDEC-BB approach. Results
show that mechanical properties are highly anisotropic and the calculated elastic modulus increases substantially with the increased
stresses. The Poisson ratio can be well above 0.5.
Numerical experiments on the 10 random DFN models using the UDEC-BB approach suggest that the elastic modulus of the
fractured rock masses increases substantially with the increase of stresses (Fig. 1a). A simple empirical equation relating the mean
normal stress (s) and rock mass elastic modulus (Em) is proposed in the following form: 1/Em=1/Ei+1/(Sms), where Ei is the intact
rock elastic modulus and Sm is a sensitivity parameter. The results from the equation fit well with the numerical results obtained
from the 10 random DFN models. The calculated Poisson’s ratios generally decrease with the stress increase and they are also well
above 0.5 (Fig. 1b).
The limitation of the two-dimensional (2D) approach is discussed for the case of the transversely isotropic model and the 2D
values represent the maximum trace of the 3D results (Fig. 1c). The large Poisson’s ratios in this particular study are due to a high
fracture density and connectivity of the DFN models and the 2D simplification. This paper suggests that engineering practice should
consider the stress dependency of the mechanical properties of the fractured rock masses and the common practice of assuming the
Poisson ratio as 0.2–0.3 may need careful re-evaluation for specific stress and fracture system conditions.
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Energy Systems Engineering (에너지시스템공학부)Journal Papers (저널논문_에너지시스템공학부)
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