The burial depth issue of compressed air energy storage(CAES) caverns significantly influences initial site selection and overall stability assessment

serving as a critical aspect in the design of artificial gas storage caverns. To investigate the uplift failure mode of tunnel-type gas storage reservoirs for CAES

we propose a multi-cavern conical failure model based on the single-cavern limit equilibrium framework. The model accounts for rock-mass friction and cohesion

as well as interactions between adjacent caverns. We introduce parameters describing the equivalent slip surface and its inclination angle . By enforcing equality of the inter-block force () between the central and lateral blocks

we derive a governing equation for ω. Solving this equation yields the safe burial depth. Research findings demonstrate that the calculation results of multi-cavern model

which considers the influence of adjacent caverns

are more reasonable compared to those of the single-cavern model. To further explore the response characteristics of the multi-cavern model to design parameters

we conduct a systematic analysis of the impacts of cohesion

horizontal in-situ stress coefficient

cavern diameter

and cavern spacing on buried depth. The results indicate that burial depth is negatively correlated with cohesion and decreases as cohesion increases. In contrast

burial depth is positively correlated with the horizontal in-situ stress coefficient and increases as this coefficient rises. Burial depth also increases with cavern diameter but decreases as the spacing between adjacent caverns increases. Notably

when the spacing between adjacent caverns exceeds four times the cavern diameter

the multi- cavern effect can be neglected.