Abstract

In complex rock engineering, understanding the stress state and determining stability and damage evolution are necessary. To more accurately provide a theoretical basis for judging the stress state of bedrock in engineering, this study experimentally addressed the damage evolution of sandstone under loading and unloading conditions. A theoretical relationship between rock resistivity and porosity was obtained according to the Archie formula, which allowed the derivation of the sandstone damage variable expression. Then, sandstone rock samples were used for experimental evaluation, and the feasibility of the theoretically determined damage variable was verified. Finally, through theoretical and experimental comparison analysis, we developed a correlative damage model for sandstone under uniaxial loading and unloading. The results show that the damage variable varies linearly with strain. The proposed correlative equation describes this behavior accurately for loading and unloading conditions. Based on the results of this study, the correlative damage model of sandstone under cyclic loading and unloading conditions can be further improved to be a complete constitutive damage model.

Highlights

  • In complex rock engineering, understanding the stress state and determining stability and damage evolution are necessary

  • Taking into account previous research, this study defines sandstone damage variables based on resistivity in order to describe the degree of rock damage under uniaxial loading and unloading conditions. e effect of the damage variable on the damage condition under uniaxial loading and unloading conditions was tested and verified

  • A correlative damage model for sandstone under loading and unloading conditions was determined, and the following conclusions were obtained: (1) According to the development of rock fissures during the loading process, using the theory of fracture mechanics and the Archie formula, the mechanical properties and electrical properties of the rock were found to be related to each other via porosity. rough the theoretical model of resistivity and stress, the damage variable was defined to evaluate the degree of damage to the rock under loading and unloading conditions

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Summary

Introduction

In complex rock engineering, understanding the stress state and determining stability and damage evolution are necessary. To more accurately provide a theoretical basis for judging the stress state of bedrock in engineering, this study experimentally addressed the damage evolution of sandstone under loading and unloading conditions. Based on the results of this study, the correlative damage model of sandstone under cyclic loading and unloading conditions can be further improved to be a complete constitutive damage model. By observing changes in rock resistivity, researchers can evaluate the stress state inside the rock and predict the degree of rock damage in order to achieve simple, reliable, undisturbed, nondestructive, and economical results. Using a method combining mechanical and electrical parameters, Chen and Lin [12] studied the electrical effects of compressive stress on rock and proposed and verified an equation of state for the rock fracture law. An analytical expression for rock damage based on resistivity has not yet been established, Wang et al [18] derived the changing regularity of rock damage variables and resistivity, under loading conditions, based on rock damage theory

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