干旱和半干旱地区农田灌溉的规划模型

干旱和半干旱地区农田灌溉的规划模型

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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 categoriesData-perspectiveGeostatistical analysis
Method-focused categoriesProcess-perspectivePhysical process calculation
Method-focused categoriesProcess-perspectiveHuman-activity calculation

Model Description

Chinese {{currentDetailLanguage}} Chinese

干旱和半干旱地区农田灌溉的规划模型

1.   目标函数

     

式中,Cj为第j处理量的产量;Xj为第j处理的灌溉面积。

2.   约束条件

使上面的目标函数达到最大,应满足以下约束条件。

(1)各时段各灌水处理的灌溉面积之和不能超过该时段灌溉系统的灌溉能力。即:

                  i=1,2,3,4

式中,为第i时段灌溉系统的灌溉能力;Xij为第j处理在第i时段的灌溉面积。

     为了使求得最优灌溉方案便于在本地区各灌溉系统下推广使用,这里以灌溉系统能保浇(灌4次水:起身、拔节、抽穗、乳熟)的面积为100确定参数,求最优解与保浇面积的百分比。对于2,3,4时段,由于灌水时间与保浇地的灌水时间相对应,且3个时间段的时间长度相同,所以,这3个时段灌溉系统的灌溉能力应等于其保浇面积,即:

                      

     对于第1时段,灌水的时间长度是后三个时段的2倍,所以,b1应是b22倍,即b1=200。这样对照各时段的灌水处理,可得约束条件为:

                      

(2)灌溉面积不能无限的增大:

 由于耕地面积的限制或其他原因,灌溉面积应有一定限制。即:

                      

式中,b5的取值各灌溉系统可能有所不同。但在设保浇面积为100时,b5应是一个与保浇面积相比的相对数。这样,各灌溉系统中b5的取值差异不会太大。这里,从宏观上考虑b5的取值。目前该地区水浇地面积占耕地面积的40%左右,3/4的耕地为冬小麦,所以,在设保浇地面积为100时,新灌溉方案下的灌溉面积最大可扩大为100/40%×3/4188亩,即b5=188。于是有:

3.   归结为模型

由上面的目标函数和约束条件,可得本规划问题的模型为:

        

          

                 

                              

参考文献:

    王道龙:用规划方法安排干旱和半干旱地区的农田灌溉方案。自然资源学报,1989,44

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How to Cite

《资源环境数学模型手册》 (2018). 干旱和半干旱地区农田灌溉的规划模型, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/43558e5a-41af-4b52-9942-1b81fe65f9d2
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Last modifier : 
Zihuan Wang
Last modify time : 
2020-11-01
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Contributor(s)

Initial contribute: 2018-12-04

Authorship

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

History

Last modifier : 
Zihuan Wang
Last modify time : 
2020-11-01
Modify times : 
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