摘要
以唐家山堰塞湖为研究对象,参考权威报道的数据及DEM遥感影像,探讨了堰塞湖演化、溃坝、洪波传播等方面的问题.首先,依据所采集的样本值和堰塞湖形成机理建立一般库容模型,并给出在数据不充分情况下的模型修正方法,预测了5月25日至6月12日的水位日上升高度.其次在库容模型基础上,依据经典的溃坝洪水预报模型—DAM BRK模型分别建立了溃口形态模型和水体下泄模型,给出了溃口形态、溃口流量、堰塞湖水位等物理量的数学描述,并进行了实验模拟.最后,假设漫溢性洪水在瞬时达到稳态,建立结合动力学模型和基于DEM网格模型建立洪水淹没模型,采用种子蔓延算法计算出洪水淹没区域,并进行了计算机可视化模拟.
This paper took the Tangjiashan barrier lake as the research object, referred to authoritative coverage data and DEM images, we discussed the evolution, dam breaking, water dissemination of Barrier Lake. First of all, based on the samples value and the formation mechanism of Barrier Lake, we set up a general capacity model and the improved model when the data was not sufficient. Using this model, we predicted the rising water level per day from May 25 to June 12. Based on the capacity model and the classic model of dam-break flood forecasting named DAMBRK, we set up the dam burst model and water discharge model, and gave out the mathematical description and experimental simulation. Finally, assuming that the flood can reach the steady state in an instantaneous moment, based on the dynamic model and DEM model, we established the Barrier Lake flood model, in which we used the seed spread algorithm to calculate flood area, and did computer visualization simulation.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第16期57-66,共10页
Mathematics in Practice and Theory
