<p>Bonded Block Modeling (BBM) excels at modeling the mechanical behavior of brittle intact rock. In BBMs, material is broken into distinct elements that are bonded together but are allowed to separate from one another following damage accumulation. This discrete interaction of blocks with adjacent blocks is analogous to the loss of strength along grain boundaries in real rock, and when these contacts fail, explicit fractures form in the model, which replicates the micro-fracturing failure process in rock. Previous BBM modeling efforts have focused on simulating highly brittle mechanical behaviors, but many rocks exhibit a more ductile mechanical behavior under low to moderate confining stress, including some salts, limestones, and marbles. This study investigates the capability of BBM to replicate the full range of stress–strain behavior of Carrara marble. Specifically, three different BBMs of Carrara marble were developed: (1) homogeneously assigned input parameters with elastically deformable blocks, (2) heterogeneously assigned input parameters with elastically deformable blocks, and (3) heterogeneously assigned input parameters with inelastically deformable blocks. Model #3 was found to best match the stress–strain behavior of Carrara marble; however, none of the three models were able to fully match the degree of ductility of Carrara marble. The BBM approaches evaluated were therefore not found to be suitable to reproduce ductile rock deformation. Additionally, in contrast to a prior study considering more brittle rock, the calibrated BBMs developed through this study were not found to be predictive of strength of specimens with joints added (i.e. rockmass analog specimens). Potential improvements to the BBM approach to more successfully replicate more ductile intact rock behavior are suggested.</p>

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Numerical Modeling of Semi Ductile Failure in Intact and Jointed Rock Using Bonded Block Modeling Methods

  • Isabella West,
  • Gabriel Walton

摘要

Bonded Block Modeling (BBM) excels at modeling the mechanical behavior of brittle intact rock. In BBMs, material is broken into distinct elements that are bonded together but are allowed to separate from one another following damage accumulation. This discrete interaction of blocks with adjacent blocks is analogous to the loss of strength along grain boundaries in real rock, and when these contacts fail, explicit fractures form in the model, which replicates the micro-fracturing failure process in rock. Previous BBM modeling efforts have focused on simulating highly brittle mechanical behaviors, but many rocks exhibit a more ductile mechanical behavior under low to moderate confining stress, including some salts, limestones, and marbles. This study investigates the capability of BBM to replicate the full range of stress–strain behavior of Carrara marble. Specifically, three different BBMs of Carrara marble were developed: (1) homogeneously assigned input parameters with elastically deformable blocks, (2) heterogeneously assigned input parameters with elastically deformable blocks, and (3) heterogeneously assigned input parameters with inelastically deformable blocks. Model #3 was found to best match the stress–strain behavior of Carrara marble; however, none of the three models were able to fully match the degree of ductility of Carrara marble. The BBM approaches evaluated were therefore not found to be suitable to reproduce ductile rock deformation. Additionally, in contrast to a prior study considering more brittle rock, the calibrated BBMs developed through this study were not found to be predictive of strength of specimens with joints added (i.e. rockmass analog specimens). Potential improvements to the BBM approach to more successfully replicate more ductile intact rock behavior are suggested.