基于岩质滑坡引发泥石流的影响范围评价模型  

MATHEMATICAL MODEL FOR EVALUATING AFFECTED RANGE OF DEBRIS FLOW INDUCED BY ROCK LANDSLIDE

作　　者：张锡涛[1] 刘翔宇[1,2] 谢谟文[2] 尹彦礼[2,3] 

机构地区：[1]国核电力规划设计研究院,北京100095 [2]北京科技大学土木与环境工程学院,北京100083 [3]华北水利水电学院,郑州450045

出　　处：《工程地质学报》2013年第4期598-606,共9页Journal of Engineering Geology

基　　金：国家自然科学基金项目(40972229)资助

摘　　要：降雨滑坡引发泥石流是发生于山区的复杂地质灾害现象。通常与地质、地层岩性、岩土体的力学性质、雨量、地下水和土地使用情况有关。分析滑坡与泥石流之间的内在关联因素不仅为分析滑坡破坏机理提供一个参考依据,而且也可以作为滑坡引发泥石流评估的基础。本文基于质量守恒定律和黏性牛顿流体Navier-Stokes方程的泥石流二维数学模型,进行深度积分后采用有限差分法进行数值求解,引用统计得出的溪流倾斜角正切值与泥石流影响范围的宽度关系表达式。结合GIS,完善了3DslopeGIS系统。对以往记载的山体滑坡引发泥石流案例进行类似地质条件的滑坡灾害再发可能性和影响范围分析。本文模型及系统不仅可用于预测泥石流的影响范围,还可以风险地图来显示可能受泥石流影响的地区。Debris or mud flow caused by the landside is one of complicated geologic hazards in mountain area, which is usually related to geology,lithology,the mechanical characteristics of the rock and soil,rainfall,groundwater,and land usage condition.The analysis of immanent relationships between landslide and mud flow can not only afford a reference for the analysis of landslide failure mechanism,but also be used as the basis of evaluation of mud flow triggered by landslides.In this paper,the depth integral is applied two two-dimensional mathematical model of mud flow.The model is based on the principle of conservation of mass and viscous Newtonian fluid NavierStovkes equation.Then,this equation is numerically computed by using the finite difference method.The relational expression between streams tilt angle and the width of affected range of mud flow is obtained from statistics.It is applied to analyzing the possibility of mud flow induced by landslides which once failed under the similar geological conditions.Combining with GIS,the model can also be used to predict impacted range of mud flow by using risk map to show the zones that may be affected by the mud flow.

关 键 词：岩质滑坡 泥石流 数学模型 深度积分 GIS 影响范围 

分 类 号：P642.23[天文地球—工程地质学]