Impact of Stress-Induced Rock Damage on Elastic Symmetry: From Transverse Isotropy to Orthotropy

Abstract

In this article we explore the change in elastic symmetry and anisotropy of two geological materials with stress-induced damage. Two independent uniaxial deformation experiments on two layered and natural geomaterials, a shale and a sandstone, support this analysis. Both samples were loaded along their bedding planes at a constant strain rate up to mechanical failure. During deformation, an array of ultrasonic P- and S-wave transducers were employed to monitor the evolution of the ultrasonic velocities up to and beyond sample failure. We report here the impact on elastic symmetry and anisotropy of a uniaxial load applied parallel to the bedding plane of the transversely isotropic shale and sandstone samples. Based on symmetry considerations we analyse whether this load and the resulting stress-induced damage preserve the original transverse isotropy of the rock prior to loading, or lead to orthotropy (orthorhombic symmetry). Our results show that the two transverse isotropic samples retained their transverse isotropy in the initial stages of loading/damage. However for the more anisotropic shale sample the main failure mode was splitting of the bedding planes. In contrast the sandstone sample failed along a shear plane inclined to the bedding plane. In addition, the experimental data are further analysed using continuum damage mechanics to identify the evolution of the general fourth order anisotropic damage tensor during loading. We found that the highest damage variable of the damage tensor was $$D_{11}$$ D 11 for the shale and $$D_{55}$$ D 55 for the sandstone sample. The next highest damage variables for the shale sample were related to the bedding plane ($$x_2$$ x 2 –$$x_3$$ x 3 plane) symmetry: $$D_{23}, D_{32}, D_{44}$$ D 23 , D 32 , D 44 . However the damage variables obtained for the less anisotropic and more brittle sandstone sample were harder to interpret due to the mixed mode of fracturing present.

Effect of regionalized structures on rock fracture process

“…Rocks are complex geological formations with various defects such as cracks, holes, and structural surfaces. These defects contribute to differences in the rock’s ability to withstand forces and in the process of damage evolution 5 – 8 . Discovering the evolutionary relationships between rock structure and failure damage has great importance in the field of rock mechanics and engineering.…”

Dynamic Loading Effects on the Mechanical Behavior and Constitutive Damage Model of Foliated Slate

“…The orientation of the foliation plane significantly influences the dynamic mechanical properties of a foliated rock mass at a given strain rate [35,39]. The complex co-effects of the foliation planes and strain rate strengthening effect greatly complicate the mechanics' laws of the foliated rock mass [34]. The constitutive model is vital in rock mechanics regarding theory development and numerical analysis.…”