“…Exactly, the analytic method is a means of solving complex problems by using mathematical operations, which has the advantage of being both efficient and economical. There are four essential types of analytical methods for the disturbances in the surroundings induced by linear tunnel excavation, including complex variable solution [17,18,27], virtual image solution [29,41,49,54], stress function method in polar co-ordinate [9,19,25,26,36] and stochastic medium method [2,13,31,43]. In general, the above studies concluded that tunnel excavation generates soil gaps and loading effects, assuming soil recovery as a uniform or non-uniform radial movement.…”