During the long-time operation of salt rock storage cavern, between its formations, damaged interfaces induced by discontinuous creep deformations between adjacent layers will possibly lead to serious gas leakage. In this paper, damaged interfaces are considered as main potential leakage path: firstly in meso-level, gas flow rule along the interface is analyzed and the calculation of equivalent permeability is discussed. Then based on porous media seepage theory, gas leakage simulation model including salt rock, cavity interlayers and interface...