Abstract:In stability design and mechanical analysis of surrounding rock for deep roadway,it is difficult to get a great deal of data samples and its interval range can be determined easily for those basic data which affect the stability of surrounding rock because of limit of information. It is also very difficult to determine distribution function and membership function. Physical and mechanical parameters of rock mass and support are regarded as interval variables and interval math is used to analyze mechanical state of surrounding rock. Therefore,interval analysis method is introduced and interval math is regarded as a solution of above-mentioned problem in the paper. Physical and mechanical parameters are expressed through interval variables,and some response functions of surrounding rock,for example pressure equation,are expressed by interval models. An output of the interval model is an interval value. A calculation program that is used to solve interval model is suggested and applied to analyze surrounding rock of deep roadway. The engineering example shows that interval approach has good adaptability and bright future in deep rock mass engineering field.