Research And Application Of Mathmatical Model Of Debris Flow

Debris flow is a kind of natural disaster that directly threatens the security of human’s life and property and seriously impedes the sustainable development of the social economic. This article presents a mathematical model of debris flow based on hydrodynamic theory. The mathematical model is applied in forecasting the debris flow which has important academic significance and application value.In this paper, the initiate mechanization is studied of three stages and five cities’ administrative areas of Guangxi province as the region boundary. Based on the hydrodynamic theory, the mathematical model of debris flow is introduced including the real time rainfall process、confluence and runoff. Many factors such as geography, geology, climate and hydrology, vegetation and population are considered in this mathematical model. Elevation、boundary and river information are extracted from DEM with GIS. Fortran programming interpolate and generates the calculating meshes by Finite volume method. All the factors such as velocity, gradient, geology, vegetation coverage and people distribution are all digitized. The river channels are considered to be two models as generalization and grading coding, and base on which the risk of debris flow is calculated. Comparing the simulated results with those obtained from geology disaster distribution chart, the region occurring debris flow is nearly the same, the mathematical model of debris flow can be used for risk assessment of debris flow in GuangxiDebris flow occurred in Quanzhou in May of 2011, so the rainfall data is gathered to check the model and certified it is reasonable.