With the development of municipal engineering

shield tunneling has been used in various kinds of underground constructions and underlines more popularly in urban area. Much more attention should be paid to the effect of tunnel construction on close environment. According to the space regularities of distribution of ground loss and by stochastic medium theory

it is assumed that ground movement process is of the property of stochastic process

and the soil displacement due to ground loss can be calculated. Combining with the basic elastic equations

the stress changes due to tunnel excavation can be calculated. Finally

with the help of computer programs

the soil displacement and superimposed stress are analyzed

which can help researchers to understand the environment effect of construction. And at the same time

these results can make(be of great help ) for in-situ engineers to make decisions on their own on these effects in advance.