Abstract:Based on the results of the statistical analysis of a large amount of measured data in excavation,a fundamental theoretical model of ground surface movement due to deep excavation is established by using the fuzzy measures theory of fuzzy mathematics. The formulae of ground surface displacement and deformation are developed and applied to the prediction of the ground surface movement due to deep excavation. The agreement of the theoretical results with the field measurements shows that the model is satisfactory and the formulae obtained are valid and thus can be effectively used for predicting the ground movement due to deep excavation in the city.