Abstract

Damage theory studies the whole process of initiation, propagation, and instability of microcracks in materials and provides an important basis for the estimation of the risk of materials. Therefore, it is assumed that the rock microunit strength is the damage variable of the medium and obeys the Weibull distribution. According to the tensile failure characteristics of filled fractured rock under the action of seepage stress, the maximum tensile strain criterion is used to define the rock microunit strength parameters, and the equivalent elastic modulus of the fractured rock is used to establish a new damage statistical model. This paper mainly studies the rationality and feasibility of using this new constitutive model to describe the seepage failure process and damage characteristics of filled fractured rock. The results indicate that (1) the accuracy of the equivalent elastic modulus is affected by the confining pressure and the characteristics of the structural surface. In the elastic phase, using the equivalent elastic modulus, E V R H has better fit. In the plastic phase, it is better to use the E V parameter. (2) The established Weibull distribution statistical model can better calculate the stress-strain curve of fractured rocks with weak and soluble fillings. (3) The rock strength characteristics affected by different stress conditions and different filling fracture states calculated by the model are the same as the experimental data. (4) The model using equivalent elastic modulus parameters reflects the threshold characteristics of rock failure and the damage evolution process. After comparison, it is found that the model can accurately calculate the final damage value of the fractured rock with weak and soluble filling. However, the final damage value used to calculate the fractured rock of the hydraulic material filling is much higher and inaccurate.

Highlights

  • In geotechnical engineering, a key theoretical problem to solve the stability prediction and evaluation of surrounding rock is the rock constitutive model

  • According to the randomness of the distribution of the cracks in the rock, it is proposed that the damage variable of the medium obeys the Weibull distribution, and the continuous damage theory and the statistical strength theory are used to solve the problem. is statistical damage model can better reflect the rock deformation than similar models established by predecessors

  • According to the Weibull distribution of damage variables and the seepage failure characteristics of the filled fractured rock, a new statistical damage model is established by using equivalent model to calculate the elastic modulus parameters

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Summary

Introduction

A key theoretical problem to solve the stability prediction and evaluation of surrounding rock is the rock constitutive model. Rough the establishment of the Weibull distribution damage statistical constitutive model, Wang et al [13] realized the fitting calculation of the residual strength of the rock. Based on the Weibull distribution model, Li et al [16] realized the fitting of the progressive failure of the rock, and Sun and Zhu [17] studied the relationship between the stress-strain of the rock and the wave velocity. E purpose of this study is to investigate the strength and damage characteristics of fractured sandstone with fillings under the action of seepage stress, establish a reasonable and feasible constitutive model, and verify the reliability of the model by analyzing the rock damage softening characteristics. A new Weibull distribution statistical damage model is established, which is used to characterize the seepage damage and failure process and characteristics of fractured rock with fillings under hydrodynamic force

Seepage Damage Statistical Model
Fitting Calculation
Discussion
Conclusions

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