Abstract:
This paper proposes a method for calculating the equivalent elastic modulus of fractured rock masses that accounts for the influence of confining pressure. It aims to quantify the anisotropic characteristics of fractured rock masses, providing a theoretical basis for engineering deformation analysis. Using field-measured fracture geometry and the rock mass's equivalent elastic modulus as inputs, the fracture normal stiffness (
Kn) and shear stiffness (
Ks) are inverted. This study integrates the mechanical properties of intact rock with fracture parameters to construct a rock mass compliance matrix and derive the equivalent elastic modulus. The degree of anisotropy is analyzed using the elastic modulus anisotropy index (
IE) and shear modulus anisotropy index (
IG), where higher values indicate greater anisotropy. Comparison shows that the equivalent elastic modulus calculated by the analytical method fits well with the simulation results from the universal discrete element code (UDEC), with a minimum coefficient of determination (
R2) of 0.89, indicating high reliability. The analytical and numerical simulation-derived
IE and
IG values show close agreement, with absolute percentage error ≤10.43%. This method can effectively obtain the compliance matrix of fractured rock masses in actual engineering projects, providing a theoretical basis for rock mass deformation.