Two-dimensional mathematical model of debris flow

Chun Xiang Wang, Shi Wei Bai, Tetsuro Esaki, Yasuhiro Mitani

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


Debris flow is the gravity flow of water, clay, granular and rock mixtures and often triggered by torrential rains in mountainous areas. It is a catastrophic disaster that consists of grain-fluid mixtures and moves rapidly across three-dimensional terrain. Most debris flows move downslope as fluids. To predict the runout distance and extent of the hazard area of rainfall-induced debris flows, we proposed a depth-averaged two-dimensional mathematical model, in which the debris and water mixture is assumed to be uniform continuous, incompressible, unsteady Newtonian turbulence fluid. Based on mass balance equation and Navier-Stokes equations, the mathematical model is derived using the method of depth-integrated equations. The finite difference method is necessary to solve the all equations. Based on GIS, the two-dimensional mathematical model of debris flow can be used to estimate the flow range, the potentially dangerous homes and roads for hazard and risk analysis.

Original languageEnglish
Pages (from-to)1237-1241
Number of pages5
JournalYantu Lixue/Rock and Soil Mechanics
Issue number6
Publication statusPublished - Jun 2007

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Geotechnical Engineering and Engineering Geology
  • Soil Science


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