流域侵蚀产沙和物质转移数学模型

流域侵蚀产沙和物质转移数学模型

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contributed at 2018-12-04

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Affiliation:  
岳天祥编著
Email:  
yue@lreis.ac.cn
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Method-focused categoriesProcess-perspectivePhysical process calculation

Model Description

Chinese {{currentDetailLanguage}} Chinese

流域侵蚀产沙和物质转移数学模型

 

1.  沟蚀

(1)    河网密度与侵蚀模数的经验公式:

丘陵沟壑区:

高原沟壑区:

式中,为河网密度;为侵蚀模数。

(2)    输沙率的计算公式:

式中,为输沙率;为沟道流域闭合断面上的流量;为闭合断面径流浑浊度;为平均粒径;为闭合断面上的径流深度;为允许不冲流速;为沟道集水区流域闭合断面上的流速。

(3)    沟蚀估算公式:

式中,为常数,为水流宽度。

(4)    沟蚀长度计算公式:

式中,为该地侵蚀基准深度;为沟壑集水流域闭合断面上的流量;为表征岩石可蚀性的流速,为糙率;为系数,其绝对值第一类岩石取10,第二类岩石取5

2.  河道泥沙输移数学模型

(1)    一维数学模型:

水流连续方程式:

水流运动方程式:

泥沙连续方程式:

水流挟沙力公式:

河床变形方程式:

            

式中,B为河宽;h,U为断面平均水深及流速;z为断面平均河底高程;S,S*为断面平均实际含沙量和水流挟沙力;为断面平均泥沙沉速;为泥沙干容重,g为重力加速度;C为谢才系数R为水力半径;为系数;xt为距离及时间。

(2)二维数学模型:

 水流连续方程式:

       

水流运动方程式:

  

泥沙连续方程式:

  

水流挟沙力公式:

     

河床变形方程式:

           

式中,h为垂线水深及平均流速;U,V为垂线平均流速在x,y方向上的分量;z0为点河床高程;S,S*为垂线平均实际含沙量和相应水流挟沙力;为垂线平均泥沙沉速;为涡流黏性系数。

(3)溯源淤积数学控制方程:

                   

式中,q为单宽流量;为泥沙和水的容重;为系数。z为溯源淤积厚度。

 

 

 

参考文献:

陆中臣:流域侵蚀产沙和物质转移。地理研究,1989,82

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How to Cite

《资源环境数学模型手册》 (2018). 流域侵蚀产沙和物质转移数学模型, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/3310711d-c4e5-4638-b9a3-771e1192562d
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Contributor(s)

initial contribute: 2018-12-04

Authorship

Affiliation:  
岳天祥编著
Email:  
yue@lreis.ac.cn
Homepage:  
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Is authorship not correct? Feedback

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Last modifier : 
NNU_Group
Last modify time : 
2020-11-14
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