Abstract

A semianalytical solution of stress and displacement in the strain-softening and plastic flow zones of a salt cavern is presented. The solution is derived by adopting the large deformation theory, considering the nonlinear Hoek–Brown (H-B) strength criterion. The Romberg method is used to carry out numerical calculation, and then, the large deformation law of displacement is analyzed. The results are compared with those obtained by former numerical methods, and the solutions are validated. The results indicate that the displacement of the plastic zone decreases with the increase in distance away from the salt cavern. Similarly, it decreases with an increase in the geological strength index or running pressure, with the running pressure having a more significant effect on the displacement. It increases with the dilation angle, and the impact degree gradually increases. Compared with the softening parameter, h, of the plastic zone, the flow parameter, f, has little impact on the displacement. The displacement of the plastic zone obviously increased when considering the strain-softening of salt rock. When considering the shear dilation and softening behaviors of salt rock, the analytical solution obtained by employing the experiential regression Hoek–Brown (H-B) criterion, which considers many factors such as the structural characteristics of the salt formation and the rock mass quality, is safer and closer to the actual situation. This study can provide reference for many applications, including but not confined to analyzing the deformation of the surrounding rock of an underground salt cavern storage facility during construction.

Highlights

  • Salt caverns are considered the best places in the world for energy reserves [1,2,3,4,5]. e reason is that salt cavern storage facilities, compared to other underground storage facilities, have many advantages

  • Internal pressure caused excessive volume shrinkage, and the Eminence salt cavern storage in Mississippi, USA, lost about 40% of its volume in 2 years [6]. us, analysis of the stability of underground salt cavern gas storage is very important for controlling this hazard

  • Many studies on generalized three-dimensional H-B strength criterion have been carried out [38,39,40,41]. e commonly used H-B criterion is modified continuously, and the generalized three-dimensional model is the future direction in the research and application

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Summary

Introduction

Salt caverns are considered the best places in the world for energy reserves [1,2,3,4,5]. e reason is that salt cavern storage facilities, compared to other underground storage facilities, have many advantages. Adopting the M-C criterion and nonassociated flow rule and introducing the large deformation theory, Wang and Zhu [22] obtained an elastoplastic analytical solution to the cavity expansion. Zhang et al [23] established a multistep brittle-plastic model by simplifying the strain-softening process of the postfailure region, and they proposed analytical solutions of a spherical cavern with considering the deterioration of elastic parameters. Both M-C and H-B criteria are included in their analysis. This paper considers the large deformation around a salt cavern by introducing the H-B criterion and taking the strain-softening property of salt rock into account. is study can have significant implications for the design and construction of a deep hollow spherical domain

Mechanics Model for Spherical Salt Cavern Gas Storage
Solutions in the Elastic Zone
Stress Analysis in the Plastic Zone
Deformation Analysis in the Plastic Zone
Discussion
Case Study
Findings
Conclusions
Full Text
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