Abstract：A study of quasi-static three-dimensional model technique which shows the typical features of translatory coal bumps in deep coal mining is introduced. The three-dimensional model is studied on the basis of the elementary theory of bumps developed by Lippmann H. This model can be used to analyze the mechanism of coal bumps occurring in the roadways with rock roof and rock floor. The friction forces in the coal seam are considered in this three-dimensional model，and the pre-critical three-zone model for pressure distribution is analyzed. A simplified elastoplastic theory is applied to analyze the translatory bumps in deep mining and some basic mechanisms of bumps are revealed. The length of secondary stress distribution region is obtained which can be used to analyze the bumps potential of coal seam. The material properties of the coal from the Zhaogezhuang coal mine are used to prove the validity of the model；and the conclusions deduced from the theory are compared with the phenomena observed in-situ. The analytical results show that the blasting mining method is the main reason causing the incident in level No.11. The geometric parameter characteristics of this three-dimensional model are analyzed and some useful information is achieved.
