Simulation Study On Self-organized Criticality Of Debris Flow's Triggering And Confluence System

Considering interior mechanism of debris flow's triggering and confluence system, in this essay we simulates its self-organized criticality by Cell Automaton Model.By reading papers on debris flow's triggering and confluence, we know that if we consider debris flow's triggering and confluence as a whole system, its whole process have many critical characteristic situation. Such as, critical slope grade, critical thickness of earth source, critical precipitation, critical runoff and critical velocity of flow. So basing on self-organized criticality theory and critical situation of debris flow's triggering and confluence process, this essay tries to establish relevant dynamics model.Because the system that has self-organized criticality has two important tokens, those are a power-law frequency-area distribution and long correlation in temporal area. So this essay tries to discuss self-organized criticality of debris flow's triggering and confluence system by proving these two tokens.Lacking of impersonal observation information of triggering area of debris flow, this essay brings forward to cell automaton model to study on it based on sand pile model. By 2-D CA model simulation, we get simulative data. And we use statistical computation and relativity analysis for the first time. So we make the conclusion that the simulation system obeys the power-law frequency-area distribution by improved 2-D CA model. And by relativity analysis we know simulation sequences are long correlative. These two results offerimportant evidences for self-organized criticality of debris flow's triggering area.Also for the first time this essay give quantitative proving for self-organized criticality of debris flow's confluence process by using observation data of Jiangjia Ravine. By statistical computation we prove that the confluence process of Jiangjia Ravine obeys the power-law frequency-area distribution. And through relativity analyzing, we get the results that tune sequences of Jiangjia Ravine are long correlative. So these two results are important to proving self-organized criticality of debris flow's confluence process.