Study on One-Dimensional Mathematical Model of Slope Erosion

doi:10.3969/j.issn.1674-0696.2015.01.16

Journal of Chongqing Jiaotong University(Natural Science) ›› 2015, Vol. 34 ›› Issue (1): 72-77.DOI: 10.3969/j.issn.1674-0696.2015.01.16

Previous Articles Next Articles

Study on One-Dimensional Mathematical Model of Slope Erosion

Li Wenjie¹, Wang Jie², Zhang Shuaishuai²

1. National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong University, Chongqing 400074, China; 2. Key Laboratory of Ministry of Education for Hydraulic & Water Transport Engineering, Chongqing Jiaotong University, Chongqing 400074, China

Received:2013-03-25 Revised:2013-06-21 Online:2015-02-15 Published:2015-03-10

一维坡面土壤侵蚀数学模型研究

李文杰¹，王洁²，张帅帅²

1. 重庆交通大学国家内河航道整治工程技术研究中心，重庆 400074； 2. 重庆交通大学省部共建水利水运工程教育部重点实验室，重庆 400074

作者简介:李文杰（1984—），男，河北秦皇岛人，副教授，博士，主要从事泥沙运动力学、流域水沙过程模拟及航道整治等方面的研究。E-mail:li_wj1984@163.com。
基金资助:
重庆市教委科学技术研究项目(KJ120406)；重庆市科委自然科学基金项目(cstc2013jcyjA30003);交通运输部应用基础研究项目（2014329814310）

Abstract

Abstract: A one dimensional model of slope erosion and sediment yield was established by combining the hydrological module and soil erosion and sediment yield module, according to the dynamical mechanism of hydrological and soil erosion processes. The processes of interception, evapotranspiration, infiltration, groundwater and overland flow were simulated in the hydrology module, and the sediment module simulated the raindrop splash detachment, overland flow erosion and sediment transport processes. The whole model was verified by the measured data of runoff plot and sediment. The simulation results indicate that the hydrological module is relatively precise and the soil erosion and sediment yield module simulates the sediment yield reasonably, so the overall effect is better.

Key words: hydraulic engineering, slope, hydrological process, soil erosion and sediment yield process, one dimensional mathematical model, simulation of runoff plot

摘要： 依据水沙运动过程的力学机理，将坡面水文模型和侵蚀产沙模型嵌套，构建了一维坡面侵蚀产沙数学模型，模型的水文模块涵盖了植被截留、蒸散发、入渗、地下水和地表水运动过程，侵蚀产沙模块则模拟了雨滴溅蚀、坡面流侵蚀以及坡面径流的输沙过程。利用径流小区径流和泥沙实测资料对模型进行检验，结果表明：水文模块的模拟精度较高，侵蚀产沙模块也能合理地计算坡面产沙量，整体效果较好。

关键词: 水利工程, 坡面, 水文过程, 侵蚀产沙过程, 一维数学模型, 径流小区模拟

CLC Number:

TV143.4

Li Wenjie, Wang Jie, Zhang Shuaishuai. Study on One-Dimensional Mathematical Model of Slope Erosion[J]. Journal of Chongqing Jiaotong University(Natural Science), 2015, 34(1): 72-77.

李文杰，王洁，张帅帅. 一维坡面土壤侵蚀数学模型研究[J]. 重庆交通大学学报（自然科学版）, 2015, 34(1): 72-77.

References

［1］王平义.森林与洪水及土壤冲蚀相关性研究［J］.重庆交通学院学报,2003,22(6):121-124.
Wang Pingyi.Investigation on the co-relations between forest and flood/soil erosion ［J］.Journal of Chongqing Jiaotong University,2003,22(6):121-124.
［2］江忠善,王志强,刘志.黄土丘陵区小流域土壤侵蚀空间变化定量研究［J］.土壤侵蚀与水土保持学报,1996,1(2):1-9.
Jiang Zhongshan,Wang Zhiqiang,Liu Zhi.Quantitative study on spatial variation of soil erosion in a small watershed in the loess hilly region ［J］.Journal of Soil Erosion and Soil and Water Conservation,1996,1(2):1-9.
［3］范瑞瑜.黄河中游地区小流域土壤流失量计算方程的研究［J］.中国水土保持,1985,2:12-18.
Fan Ruiyu.Study on formula for computation of soil loss from small watershed on the middle reaches of the Huanghe River ［J］.Soil and Water Conservation in China,1985,2:12-18.
［4］金争平,赵焕勋，何泰，等.皇甫川区小流域土壤侵蚀量预报方程研究［J］.水土保持学报,1991,5(1):8-18.
Jin Zhengping,Zhao Huanxun,He Tai,et al.An approach to the equation predicting soil erosion of small watershed in Huangfuchuan area ［J］.Journal of Soil and Water Conservation,1991,5(1):8-18.
［5］李钜章,景可,李风新.黄土高原多沙粗沙区侵蚀模型探讨［J］.地理科学进展,1999,18(1):46-53.
Li Juzhang,Jing Ke,Li Fengxin.A study on the erosion model in areas with high and coarse sediment yield ［J］.Progress in Geography,1999,18(1):46-53.
［6］张继生,王平义,刘亚辉.三峡库区中小流域产沙数学模型［J］.重庆交通学院学报,2004,23(4):117-120.
Zhang Jisheng,Wang Pingyi,Liu Yahui.Mathematical model on sediment yield of middle small watershed at the area of the Three Goreges Reservior ［J］.Journal of Chongqing Jiaotong University,2004,23(4):117-120.
［7］仪垂祥,刘开瑜.植被截留降水量公式的建立［J］.土壤侵蚀与水土保持学报,1996,2(3):47-49.
Yi Chuixiang,Liu Kaiyu.Research on a formula of rainfull interception by vegetation ［J］.Journal of Soil Erosion and Soil and Water Conservation,1996,2(3):47-49.
［8］王加虎.分布式水文模型理论与方法研究［D］.南京:河海大学,2006.
Wang Jiahu.The Theory and Method of Distributed Hydrologic Model ［D］.Nanjing:Hohai University,2006.
［9］ G R Foster,L J Lane,J D Nowlin,et al.Estimating erosion and sediment yield on field-sized areas ［J］.Transactions of the ASAE,1981,24(5):1253-1262.
［10］刘青泉,李家春,陈力，等.坡面流及土壤侵蚀动力学(I)—坡面流［J］.力学进展,2004,34(3):360-372.
Liu Qingquan,Li Jiachun,Chen Li,et al.Overland flow and soil erosion dynamics (I):Overland flow ［J］.Advances in Mechanics,2004,34(3):360-372.
［11］李文杰,李丹勋,王兴奎.雨滴溅蚀模型研究［J］.应用基础与工程科学学报,2011,19(5):689-699.
Li Wenjie,Li Danxun,Wang Xingkui.Study on raindrop splash detachment model ［J］.Journal of Basic Science and Engineering,2011,19(5):689-699.
［12］Li Wenjie,Li Danxun,Wang Xingkui.An approach to estimating sediment transport capacity of overland flow ［J］.Science China:Technological Sciences,2011,54(10):2649-2656.

[1]	ZHANG Hua1, ZHANG Zhengqi2, CHENG Gao3,4, TIAN Boke1. Rational Distance of Pile Foundation in Precipitous Cliff Section of Loess Area [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(07): 93-98.
[2]	DONG Yuwen1, PENG Liang2, XIE Hui1. Effect of Rubber Powder on Frost-Resistance Durability of Concrete [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(07): 112-117.
[3]	YAO Shiming1, ZHAO Zhanchao2, QU Geng1, ZHUANG Lingguang3. Research Progress of Flow and Sediment Movement in Curved Channel [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(06): 73-79.
[4]	DONG Yuwen1, YU Xin2, QIN Yao1, WANG Zongbo1. Effect of Freeze-Thaw Cycles and Corrosion on Bond Behavior of Reinforced Concrete [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(05): 81-86.
[5]	YE Xianfeng, HAN Yijiang, ZHU Chijie, CHENG Yong. Risk Assessment of Anchorage Slope Instability Based on Improved Variable Weight-TOPISIS [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(02): 108-115.
[6]	LIU Jie, LI Xuewei, MA Haiping. Experiment Study on Effect of Different Filling Material on Dam-Break of Overtopping of Tailings Dam [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(02): 116-122.
[7]	LI Xinxin1, ZHENG Dan1, YANG Jianxi2, CAI Haonan1, ZENG Weicheng3, YUE Ruiqiang3. Water Quality Prediction and Early Warning Model of Construction Area Based on GA-BP Neural Network [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(12): 106-110.
[8]	ZHAO Tianlong1, 2, MA Tingsen1, FU Changjing1, 2, XIAN Cailin1. Experimental Study on Scour Process for Wide Graded Gravel under Non-constant Flow Process [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(10): 93-99.
[9]	ZENG Hongyan1,2, LIU Wei1,2, ZHOU Cheng1,2, HAN Libiao1,2, TAN Changming3. Experimental Study on Soil Slope Supported by Short Anti-sliding Piles [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(09): 119-126.
[10]	CHANG Jifeng1，CHEN Yanjun2，SUN Quansheng3. Numerical Simulation Analysis of Slope-Oriented Thermal Effect for Island-Shaped Permafrost Subgrade [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(07): 100-107.
[11]	ZHAO Yu1,2, YANG Qingwei1. Research Progress of River Heavy Metal Pollution in China Based on CNKI [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(04): 104-109.
[12]	MU Fengyun1, LONG Qiuyue1, YU Qing2, YANG Meng1, HE Yong1. Multi-scenario Simulation of Rainfall Runoff in Wushan County Based on SCS Model [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(02): 118-125.
[13]	XIE Zhiqiang1, 2, FU Zhi1, 2, LV Xingdong1, 2. Solar Radiation Simulation Method for Hydraulic Concrete Structure [J]. Journal of Chongqing Jiaotong University(Natural Science), 2019, 38(11): 82-89.
[14]	SUN Jiancheng, ZHU Shuanghan, JIANG Haopeng. Application of BIM Technology to Highway Slope [J]. Journal of Chongqing Jiaotong University(Natural Science), 2019, 38(09): 63-67.
[15]	SUN Yuan1, TIAN Weiqiang1, LING Dehong1, YANG Qingwen2, YANG Zheng3. Deformation Monitoring and Stability Analysis of Excavation Slope [J]. Journal of Chongqing Jiaotong University(Natural Science), 2019, 38(09): 81-87.

Study on One-Dimensional Mathematical Model of Slope Erosion

一维坡面土壤侵蚀数学模型研究

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics