According to the principle of the minimum energy dissipation, a model for the critical diameter between solid phase of the coarse particles and liquid phase composed by both the fine particles and water in non-homogeneous flow was established. Furthermore, based on the modified manning's formula and mass conservation law, in combination with our experimental results, two-phase flowing velocity models for non-homogeneous debris flow were developed preliminarily. It has been indicated by verification by the models that the calculated values for two-phase flowing velocities are better corresponding to the measured data from Jiangjia Gully, Yunnan Province, China. These results above are significance for both the harnessing of control projects and subject development for debris flow.
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