压气储能内衬洞室的空气泄漏率及围岩力学响应估算方法

A method for estimating air leakage through inner seals and mechanical responses of the surrounding rock of lined rock caverns for compressed air energy storage

为评价压气储能内衬洞室的密封性及围岩稳定性,提出一种估算洞室空气泄漏率和围岩应力、位移的方法。该方法以一种计算压气储能洞室温度和压力的简化解为基础,结合高分子材料气体渗透方程和多孔介质径向流方程,还采用无限大平板孔口问题的弹性力学解,通过迭代计算的方式求解出洞室空气泄漏率和围岩应力、位移。通过5个算例对迭代计算方法进行验证,结果表明:该方法可以较为准确地估算压气储能内衬洞室的空气泄漏率以及洞室围岩的应力、位移,并且便于在计算机中编程实现,计算速度优于数值模拟,可以直接应用在压气储能内衬洞室研究的初始阶段(如选址、初设阶段),也可与精细数值模拟的结果相互印证,为后续研究提供指导。

In this paper,an iterative method was proposed to calculate the air leakage rates and the stresses and displacements of the surrounding rock of lined rock caverns（LRCs） for the compressed air energy storage（CAES）. The proposed method is based on the simplified solution for temperature and pressure variations in CAES caverns,the diffusion equation of polymers,the equation of radial laminar flow in porous media,and the analytical solutions for a circular hole in an infinite elastic medium. Five case studies were used to confirm the capability of the proposed method in correctly estimating the air leakage rates and the stresses and displacementsof the surrounding rock. The proposed method is easy to be programmed and yields the results faster than the numerical modeling. Thus,the proposed method can be used in a primary study stage of CAES research（i.e.,sites selection,initial designing stage） or be compared with the results from the detailed numerical modeling to provide the critical information for further studies.