Abstract：Stochastic medium method(SMM) and Peck method are widely used in the field of ground movement induced by urban soft ground tunneling in China. However，little is known on their relations of theoretical background，the application conditions，and how to evaluate the results from these two methods. Besides，the determination for the key parameters for SMM is also a problem because of the relative little experience from the engineering application in China. Based on the theoretical background study and case study analysis，the theoretical relationship between SMM and Peck method is discussed；and one of the main conclusions is that Peck method can be regarded as a simplification of SMM，but they both are suitable for relatively deeper excavation condition. However，Peck method is not acceptable for the ultra-shallow tunneling where the specific conditions are expected to cause considerable large errors. Although the Peck method is feasible in most urban tunneling conditions，the SMM has a broader application against Peck method in terms of its theoretical background. The relations between the parameters of these two methods are also studied；and some simple but efficient methods for the determination of the parameters have been proposed. The suggested methods are proven and verified by many practical engineering projects；and they can significantly improve the adaptability of SMM in engineering application.
