Lined rock caverns (LRC) constitute a primary approach for constructing compressed air energy storage (CAES) power plants. Their mechanical capacity to withstand high internal pressures makes the stability of the overlying rock mass a crucial consideration in engineering design. For tunnel-type chambers

we establish a mechanical model of passive rock and soil pressure under the limit stress state of the overlying rock mass

based on the Mohr-Coulomb (M-C) strength criterion and the limit equilibrium concept. Stress boundary integration is applied to derive a system of three-moment equilibrium equations

and a rigorous method for calculating the safety factor of arbitrarily shaped failure surfaces is introduced. Parameter sensitivity analysis reveals that the safety factor is primarily influenced by burial depth

geostress coefficient

maximum air storage pressure

and chamber radius. The safety factor exhibits a nonlinear positive correlation with burial depth and a nonlinear negative correlation with both air storage pressure and chamber radius. For grade III rock mass

the permissible ranges of design parameters

such as burial depth

chamber radius

and maximum air storage pressure

that meet stability requirements are provided

offering valuable guidance for engineering design.