黄河下游断面形态与水沙输移关系模拟模型

黄河下游断面形态与水沙输移关系模拟模型

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Initial contribute: 2018-12-04

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岳天祥编著
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yue@lreis.ac.cn
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黄河下游断面形态与水沙输移关系模拟模型

1. 来水来沙及其搭配对断面形态的影响

(1)河流断面形态表达式:

               Bi=f1(Bi-1,Qi-1,Qi)

               hi=f2(hi-1,Qi-1,Qi)

 

式中,Bi-1Bi分别为第i,i-1时段河流的宽度;hihi-1分别为第i,i-1时段河流流量;f1f2代表函数关系。

(2)宽深比与流量的关系式:

                

式中,B为河宽;h为水深;Q为流量;α为系数。

(3)输沙率与流量关系式:
                 QS=K(QJ)m

式中,QS为输沙率;Q为流量;指数m小者为游荡型河流,大者为弯曲型河流。

2. 断面形态对输水输沙的影响

(1)流速公式:

                     

(2)挟沙公式:

               

(3)热烈兹拿柯夫断面形状参数:

                

式中,β*为断面形状参数;H为断面平均水深;A为断面面积;z为沿河宽方向的坐标。

(4)断面平均含沙量计算公式:

                    

式中,s()为断面平均含沙量;η为水流功率用于悬浮泥沙的分数;ρs,ρ分别为泥沙与水体密度;ω为泥沙沉速;v为流速;A为比降;α*为断面形状参数。

3. 主流摆动及坍岸所造成断面变化模型

(1)泥沙连续方程:

不考虑滩坎坍塌:

                   

式中,S为含沙量;γ’为泥沙干容重;ΔA为断面冲淤面积;A为过水断面面积。

考虑滩坎坍塌:

                 

式中,h’为岸高;为坍岸速率。

(2)输沙方程:

不考虑滩坎坍塌:

                      

考虑滩坎坍塌:

4.纵向冲淤量在横断面上分布的模拟方法

     冲刷量的横向分布公式:

            

式中,ΔA为冲刷面积;Δbi为第i条垂线单位的宽度;为对整个断面内的根垂线单元求和;为垂线挟沙力,,其中u,h分别为垂线流速与水深,

梁志勇,曾庆华,周文浩:黄河下游断面形态与水沙输移关系及数学模拟方法。地理研究,1993,12(2)

 

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《资源环境数学模型手册》 (2018). 黄河下游断面形态与水沙输移关系模拟模型, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/457d9333-dbf5-4fbf-91b6-64520339a359
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Zhiyi Zhu
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Initial contribute : 2018-12-04

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Authorship

:  
岳天祥编著
:  
yue@lreis.ac.cn
:  
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Last modifier
Zhiyi Zhu
Last modify time
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