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边坡负压排水非稳定流研究
引用本文:雷怡,帅飞翔,孙红月,张泽坤,熊超.边坡负压排水非稳定流研究[J].吉林大学学报(地球科学版),2022,52(1):162-170.
作者姓名:雷怡  帅飞翔  孙红月  张泽坤  熊超
作者单位:浙江大学海洋学院,浙江舟山316021
基金项目:国家自然科学基金项目(41772276)。
摘    要:自启动负压排水方法是一种新兴的间歇性波动排水方法,为对该方法的实现机理进行理论研究,建立了可供解析研究的负压排水模型。先引入狄拉克函数表述负压排水模型中点汇的数理特性,并对此模型推求出潜水剖面二维流运动方程及潜水面边界条件;再使用二维傅里叶正逆变换求解负压排水模型的定解问题,得到负压排水渗流场解析解。设置两种工况分别计算了自启动负压排水方法下数值模拟和理论解得到的边坡浸润线曲线,并进行了对比分析。结果表明:在不同排水孔位置工况的3组条件中,排水孔位置越深,理论解误差越大,其中排水孔位置为(24,10)时,靠近排水孔区域理论解与数值模拟结果误差最大;在排水孔位置固定、不同初始水头高度工况的3组条件中,左、右水头越高,理论解误差越大,其中左水头为28 m、右水头为8 m时,理论解与数值模拟结果误差最大。该自启动负压排水渗流场解析解在简化条件下的浸润线理论解与数值模拟结果吻合度较高。

关 键 词:滑坡  自启动负压排水方法  潜水  浸润线  解析解  数值模拟  
收稿时间:2020-06-08

Study on Unsteady Flow of Slope Self-Starting Drainage Method
Lei Yi,Shuai Feixiang,Sun Hongyue,Zhang Zekun,Xiong Chao.Study on Unsteady Flow of Slope Self-Starting Drainage Method[J].Journal of Jilin Unviersity:Earth Science Edition,2022,52(1):162-170.
Authors:Lei Yi  Shuai Feixiang  Sun Hongyue  Zhang Zekun  Xiong Chao
Institution:Ocean College, Zhejiang University, Zhoushan 316021, Zhejiang, China
Abstract:The self starting drainage method is a new type of intermittent wave drainage method. In this paper, a self starting drainage model for analytical study is established innovatively, and Dirac δ function is introduced to describe the mathematical characteristics of the point sink of the self starting drainage model and to derive the two dimensional flow motion equation of the diving profile and the boundary conditions of the diving surface from this model. The two dimensional Fourier transform is used to solve the problem of the model, and the analytical solution of the seepage field after self starting drainage is obtained. Under the two setting conditions, the slope phreatic line curves obtained from the numerical simulation results and the theoretical solutions by the self starting negative pressure drainage method are calculated and compared. The results show that in the three groups of working conditions with different drain hole positions, the deeper the drain hole position, the greater the error of the theoretical solution, and the error between the theoretical solution and the numerical simulation results is the largest near the drain hole area when the drain hole position is (24,10); In the three groups of working conditions with fixed drainage hole position but different initial head heights, the higher the left and right heads, the greater the error of the theoretical solution, and the error between the theoretical solution and the numerical simulation results is the largest when the left head is 28 m and the right head is 8 m. The theoretical solution of saturation line of the analytical solution of the self starting negative pressure drainage seepage field is in good agreement with the numerical simulation results under simplified conditions.
Keywords:landslide  self-starting drainage method  phreatic water  phreatic line  analytical solution  numerical simulation
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