CN115222152A - Rotation irrigation system optimization method for improving field drip irrigation uniformity - Google Patents
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Abstract
The invention discloses a method for optimizing a wheel irrigation system for improving field drip irrigation uniformity, which is applied to the technical field of agricultural irrigation, and is characterized in that based on the traditional design achievement of drip irrigation engineering, the inlet pressure of each irrigation cell of a drip irrigation system is further calculated, the pressure and flow distribution range of the drippers of the irrigation cells are calculated, the actual irrigation time required by each wheel irrigation group corresponding to the irrigation cells is calculated on the basis of ensuring that the irrigation quota of each irrigation cell is consistent, so that the pressure and flow of each node of the drip irrigation system meet the design standard, the irrigation quota is close, the irrigation time can be reduced, the energy consumption is saved, the water resource utilization efficiency is improved, the irrigation uniformity is improved, the labor intensity of farmers is reduced, and a design method and a basis are provided for large-area upgrading of the drip irrigation system and automation and intellectualization later.
Description
Technical Field
The invention relates to the technical field of agricultural irrigation, in particular to a rotation irrigation system optimization method for improving field drip irrigation uniformity.
Background
The irrigation uniformity is an important index for evaluating the irrigation quality, mainly reflects the distribution uniformity of the irrigation quantity, and is also one of important parameters of drip irrigation engineering design. Factors influencing the uniformity of irrigation are many, the manufacturing deviation of the water removing and irrigating device and the blocking condition of the irrigation device influence the uniformity of irrigation, and the change of the uniformity of irrigation is influenced by the change of the terrain, the working condition of a drip irrigation system, the structure of a pipe network, the rotation irrigation system and the temperature of irrigation water.
At present, drip irrigation engineering design mainly follows micro irrigation engineering technical specification (GB/T50485-2020), and the pressure deviation of an irrigation cell is controlled by limiting the flow deviation rate of the irrigation cell to be not less than 80 percent, so that the irrigation uniformity of a drip irrigation system is further ensured. However, the standard does not give a quantitative standard for the flow deviation rate of the whole drip irrigation pipe network, so that although a field drip irrigation system with an irrigation scale exceeding thousand mu can meet the flow deviation rate of an irrigation district, the flow deviation rate of the whole drip irrigation pipe network is 30-50%, and the irrigation uniformity is correspondingly reduced. And the reduction of the uniformity of irrigation not only can influence the high-efficiency utilization of water and fertilizer, but also can influence the fairness of water for farmers. Drip irrigation engineering design usually stipulates that the irrigation time of each irrigation cell is the same, and when actual engineering runs, the working pressure of the inlet of the irrigation cell close to a water source is high and the amount of water used is large at the same irrigation time; the inlet of the irrigation district farthest from the water source has small working pressure, and the water consumption is small. This results in different amounts of water being dispensed by the farmer for the same watering time, which in turn results in a decrease in the uniformity of the watering. Therefore, how to improve the irrigation uniformity of field drip irrigation and the water use fairness of farmers is a problem to be solved by the technical personnel in the field.
Disclosure of Invention
In view of the above, the invention provides a method for optimizing a wheel irrigation system for improving field drip irrigation uniformity, which enables the node pressure and flow of each irrigation cell to meet the technical standard of micro irrigation engineering (GB/T50485-2020), and meanwhile, the method has the advantages of higher irrigation uniformity, shortened irrigation time, further improved water resource utilization efficiency and reduced system energy consumption, and can provide a new idea for high-standard field upgrading and reconstruction, so that the drip irrigation engineering design achievement is closer to the drip irrigation engineering management requirement, and the fairness and timeliness of water consumption of farmers are better met.
In order to achieve the above purpose, the invention provides the following technical scheme:
a rotation irrigation system optimization method for improving field drip irrigation uniformity comprises the following steps:
s1, calculating the inlet pressure of each irrigation cell of a drip irrigation system based on the traditional design of a drip irrigation project;
s2, calculating the pressure range and the flow range of the drippers of the irrigation community based on the inlet pressure of each irrigation community;
s3, under the condition that the dripper distance and the capillary distance are not changed, ensuring that the irrigation quota is not changed, and respectively calculating the irrigation time of each irrigation cell based on the dripper flow range of the irrigation cell;
and S4, determining the irrigation time of each rotation group based on the irrigation time of each irrigation cell, and optimizing the rotation system by controlling the irrigation time of each rotation group.
Preferably, after S4, the method further includes: and S5, calculating the irrigation quota deviation, and reflecting the irrigation uniformity through the irrigation quota deviation.
Preferably, the S1 calculates the inlet pressure of each irrigation cell of the drip irrigation system by the following formula:
h nm ＝H-Z p +Z b -∑h fnm -∑h inm
in the formula, h nm The working pressure of the inlet of the irrigation district on the mth branch pipe on the nth branch pipe is shown, H is the designed water head pressure of the system, Z p Height, Z, of water inlet of pipe network in irrigation district b Represents the design water level of the system water source, ∑ h fnm Represents the water head loss along the way of the pipeline from the inlet of the system to the inlet of the mth irrigation small area on the nth branch main pipe, sigma h inm And (3) local head loss of a pipeline and equipment from a system inlet to an mth irrigation cell inlet on the nth main branch pipe is represented, wherein H specifically is as follows:
H＝Z p -Z b +h 0 +∑h f +∑h i
in the formula, h 0 Represents the working pressure of the inlet of a typical irrigation district, sigma h f Represents the head loss on the way of the pipeline from the system inlet to the inlet of a typical irrigation district, sigma h i Representing the local head loss of piping and equipment from the system inlet to the inlet of a typical watering cell.
Preferably, the S2 calculates the dripper pressure by:
h dripper ij ＝h nm -h Zhi i -h Hair ij
In the formula, h Dripper ij Represents the j-th dripper inlet pressure on the ith capillary, h nm The working pressure h of the inlet of the irrigation district on the mth branch pipe on the nth branch pipe is shown Zhi i (branch i) Represents the pressure difference between the inlet of the ith capillary and the inlet of the branch pipe, h Hair ij The pressure difference from the jth dripper inlet to the ith capillary inlet is shown;
the dripper flow is calculated by:
in the formula, q Dripper ij And (4) representing the flow of the jth dripper on the ith capillary, wherein k is a flow coefficient, x is a flow state index, and the range of the flow of the dripper in the irrigation cell is calculated according to the range of the inlet pressure of the dripper in the irrigation cell.
Preferably, the S3 calculates the duration of one irrigation of the jth dripper on the ith capillary by the following formula:
t ij ＝MS e S l /q dripper ij
In the formula, t ij Showing the duration of primary irrigation of the jth dripper on the ith capillary, M showing the designed irrigation quota, and q Dripper ij Showing the flow of the jth dripper on the ith capillary, S e Is the distance between the drippers, S l The distance between the capillary tubes;
calculating the watering time of the watering cell by the following formula:
t nm ＝max(t 11 ,t 12 ,t 13 …t ij )
in the formula, t nm And the duration of primary irrigation of the irrigation district corresponding to the mth branch pipe on the nth branch pipe is represented.
Preferably, S4 specifically is: taking the irrigation time required by the irrigation cell with the maximum irrigation duration in one wheel irrigation group as the irrigation time t 'of the wheel irrigation group' nm 。
Preferably, the S5 calculates the irrigation quota deviation by using the following formula:
in the formula, M v Indicating deviation of water filling rate, M d Denotes the maximum net irrigation quota, M max For maximum water rating in pipe networks, M min For minimum irrigation quota in the pipe network, wherein:
M d ＝γzρ(θ max -θ min )
wherein gamma is the soil capacity, z is the planned wetting layer depth of the soil, rho is the designed soil wetting ratio, theta max To suit the upper limit of the water content of the soil, theta min Lower limit of water content of suitable soil q Dripper ij Denotes the flow rate, t ', of the jth dripper on the ith capillary' nm Time of irrigation for the rotation irrigation set, S e Is the distance between the drippers, S l The distance between the capillary tubes is equal to the distance between the capillary tubes,
and the actual irrigation quota of the nth branch pipe, the mth branch pipe, the ith capillary and the jth dripper in the whole pipe network within the duration of one-time irrigation is shown.
According to the technical scheme, compared with the prior art, the invention discloses the wheel irrigation system optimization method for improving the field drip irrigation uniformity, so that the pressure and flow of each node of the drip irrigation system meet the design standard, the irrigation quota is close, the irrigation time can be reduced, the energy consumption is saved, the water resource utilization efficiency is improved, the irrigation uniformity is improved, the labor intensity of farmers is reduced, and the design method and the basis are provided for large-area upgrading and modification of the drip irrigation system and automation and intellectualization.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the embodiments or the prior art descriptions will be briefly described below, it is obvious that the drawings in the following description are only embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the provided drawings without creative efforts.
FIG. 1 is a flow chart of the method of the present invention;
FIG. 2 is a schematic view of the inlet pressure of each irrigation cell in accordance with an embodiment of the present invention;
FIG. 3 is a schematic diagram of dripper pressure-flow range for each irrigation cell in accordance with an embodiment of the present invention;
FIG. 4 is a diagram illustrating the range of irrigation times for each irrigation cell in an embodiment of the invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The embodiment of the invention discloses a rotation irrigation system optimization method for improving field drip irrigation uniformity, which comprises the following steps as shown in figure 1:
s1, calculating the inlet pressure of each irrigation cell of a drip irrigation system based on the traditional design of a drip irrigation project;
s2, calculating the pressure range and the flow range of drippers in the irrigation community based on the inlet pressure of each irrigation community;
s3, under the condition that the dripper distance and the capillary distance are not changed, ensuring that the irrigation quota is not changed, and respectively calculating the irrigation time of each irrigation cell based on the dripper flow range of the irrigation cell;
and S4, determining the irrigation time of each rotation irrigation group based on the irrigation time of each irrigation cell, and optimizing a rotation irrigation system by controlling the irrigation time of each rotation irrigation group.
It should be understood that the irrigation range controlled by a branch pipe in the irrigation pipe network is one irrigation cell, and a rotation irrigation group comprises a plurality of irrigation cells.
In another embodiment of the present invention, S1 calculates the inlet pressure of each irrigation cell of the drip irrigation system by the following formula:
h nm ＝H-Z p +Z b -∑h fnm -∑h inm
in the formula, h nm The working pressure of the inlet of the irrigation district on the mth branch pipe on the nth branch pipe is shown, H is the designed water head pressure of the system, Z p Indicates the height, Z, of the water inlet of the pipe network of the irrigation school zone b Represents the design water level of the system water source, sigma h fnm Represents the water head loss along the way of the pipeline from the inlet of the system to the inlet of the mth irrigation small area on the nth branch main pipe, sigma h inm The local head loss of the pipeline and the equipment from the system inlet to the mth irrigation district inlet on the nth branch main pipe is expressed, it needs to be understood that when the drip irrigation system actually operates, the pump lift of a water pump is usually larger than or equal to a design head H, and water is supplied to each rotation irrigation group by a relatively stable pump lift, so that when other rotation irrigation groups operate, the working pressure of the irrigation district inlet is different due to the fact that the water pump is far from a water source and the terrain height difference is different, and therefore the working pressure of the irrigation district inlet is calculated by the above formula.
Wherein H is specifically:
H＝Z p -Z b +h 0 +∑h f +∑h i
in the formula, h 0 The working pressure of the inlet of a typical irrigation district is shown, and comprises a pressure head consumed by auxiliary facilities such as filtration, fertilization (pesticide) and the like of the district. Sigma h f The loss of the water head of the pipeline from the inlet of the system to the inlet of the typical irrigation district along the way is shown, and the loss of the water head of the pipeline with the head junction along the way is shown. Sigma h i The local head loss of pipelines and equipment from the system inlet to the inlet of a typical irrigation cell is shown, and the local head loss of a head hub is included.
In another embodiment of the present invention, S2 calculates the dripper pressure by:
h dripper ij ＝h nm -h Zhi i (branch i) -h Hair ij
In the formula, h Dripper ij Represents the j-th dripper inlet pressure on the ith capillary, h nm The working pressure h of the inlet of the irrigation district on the mth branch pipe on the nth branch pipe is shown Zhi i The pressure difference from the inlet of the ith capillary to the inlet of the branch pipe is shown,h hair ij Showing the pressure difference from the jth dripper inlet to the ith capillary inlet; it is to be understood that, because the distance from the water source to each irrigation cell is different, the produced on-way head loss, local head loss and the influence caused by terrain height difference are also different, so that the inlet pressure of each irrigation cell is different, when the inlet working pressure of the irrigation cells is different, the difference of the dripper flow of the corresponding irrigation cells is also caused, and the working pressure range of the dripper of each irrigation cell is calculated by the above formula;
the dripper flow is calculated by:
in the formula, q Dripper ij And (3) representing the flow of the jth dripper on the ith capillary, wherein k is a flow coefficient, x is a flow state index, and the range of the flow of the dripper in the irrigation cell is calculated according to the range of the inlet pressure of the dripper in the irrigation cell.
In another embodiment of the present invention, S3 calculates the duration of the first irrigation of the jth dripper on the ith capillary by the following formula:
t ij ＝M′S e S l /q dripper ij
In the formula, t ij Showing the duration of the first irrigation of the jth dripper on the ith capillary, M' showing the designed irrigation quota, q Dripper ij Showing the flow of the jth dripper on the ith capillary, S e Is the distance between the drippers, S l The distance between the capillary tubes is set;
calculating the watering time of the watering cell by the following formula:
t nm ＝max(t 11 ,t 12 ,t 13 …t ij )
in the formula, t nm And the duration of primary irrigation of the irrigation district corresponding to the mth branch pipe on the nth branch pipe is represented. It should be understood that under the condition that the dripper distance and the capillary distance are not changed, the irrigation time range of each irrigation cell is calculated respectively. Because only one ball valve is arranged at the inlet of one branch pipe to control the water supply of the capillary pipe of the irrigation district,therefore, in order to meet the management requirement, the capillary irrigation time of the irrigation community is kept consistent, t nm Taking the maximum value in the range, the actual calculation can also simplify the calculation process, and the watering time required by the dripper farthest away from the inlet of the branch pipe is t nm 。
In another embodiment of the present invention, S4 specifically is: the irrigation time required by the irrigation cell with the maximum irrigation duration in one rotation irrigation group is used as the irrigation time t 'of the rotation irrigation group' nm . For convenience of management, the irrigation time of a rotation irrigation group should be kept consistent, and therefore the irrigation time of the rotation irrigation group should be the maximum value of the irrigation time required in the irrigation cells, for example, if a rotation irrigation group is composed of 1 branch of irrigation cells, 2 branches of irrigation cells and 3 branches of irrigation cells, the irrigation time of the irrigation cells corresponding to 1 branch of irrigation cells, 2 branches of irrigation cells and 3 branches of irrigation cells is: t is t 11 、t 12 、t 13 If the irrigation time of the rotation irrigation group is t' nm ＝max(t 11 ,t 12 ,t 13 ,)。
In another embodiment of the present invention, S4 is followed by: s5, calculating irrigation quota deviation, and reflecting irrigation uniformity through the irrigation quota deviation; it is to be understood that the uniformity of irrigation refers to the uniformity of field irrigation water wetting the soil zone of crop roots after irrigation, the design of the drip irrigation system is the early work of drip irrigation engineering construction and operation management, and the uniformity after engineering implementation cannot be accurately predicted, so the requirement of the uniformity of irrigation is met by controlling the flow deviation rate of the irrigation cells, and the essence is to control the total irrigation amount of each irrigation cell within the one-time irrigation duration, namely, the irrigation quota. However, in the traditional design, the duration time of one-time irrigation of each irrigation cell is the same, and the flow rate is different, so that the irrigation quota of each irrigation cell is greatly different, and the irrigation time of each rotation group is optimized, so that the deviation of the irrigation quota is reduced, and the irrigation uniformity is improved.
Further, S5, calculating the irrigation quota deviation by adopting the following formula:
in the formula, M v Indicating deviation of water filling quota, M d Denotes the maximum net irrigation quota, M max For maximum water rating in pipe networks, M min For minimum irrigation quota in the pipe network, wherein:
M d ＝γzρ(θ max -θ min )
wherein gamma is the soil capacity, z is the planned wetting layer depth of the soil, rho is the designed soil wetting ratio, theta max To suit the upper limit of the water content of the soil, theta min Lower limit of water content of suitable soil q Dripper ij Denotes the flow rate of the jth dripper on the ith capillary, t' nm Time of irrigation for the rotation irrigation set, S e Is the distance between the drippers, S l The distance between the capillary tubes is equal to the distance between the capillary tubes,
and the actual irrigation quota of the nth branch pipe, the mth branch pipe, the ith capillary and the jth dripper in the whole pipe network within the duration of one-time irrigation is shown.
In another embodiment of the invention, a drip irrigation system designed according to the traditional drip irrigation design method is optimized, the pipe diameter of the OA section of a main pipe of the system is 250mm, one branch pipe is 250mm, the rest branch pipes are 200mm, the pipe diameters of branch pipes are 110mm, and the pipe diameter of a capillary pipe is 16mm, the main design parameters are shown in table 1, the drip irrigation system in the embodiment has 70 branch pipes in total, and the flow rate of each branch pipe is 66.15m 3 Perh, 20 rotation irrigation groups are provided, and each rotation irrigation group is provided with 4 branch irrigation devicesThe working time is 5.01 hours each time, and the irrigation period is 6 days. In order to meet the requirements of farmers, the rotation irrigation system before and after optimization in the embodiment adopts a centralized rotation irrigation group except that rotation irrigation time is different and other parameters are the same, and the specific rotation irrigation scheme is shown in table 2. In the embodiment, the inlet pressure of each irrigation district is shown in fig. 2, the water pressure elevation of the irrigation district A5 in the figure is 393.42m, the ground elevation is 377.7m, and the pressure water head is 15.72m; in this embodiment, the inlet pressure-flow range of each irrigation district is shown in fig. 3, in which the dripper flow range of the irrigation district A5 is 2.39-2.68m 3 The pressure range of the dripper is 12.89-15.69m; in this embodiment, the watering time range of each watering cell is shown in fig. 4, and the watering time range of the watering cell A5 in the figure is 3.36-3.77h.
Table 1 main design parameters of drip irrigation engineering
TABLE 2 time chart of front and rear irrigation set optimization
As can be seen from Table 1, the theoretical maximum irrigation quota per irrigation cell is 33.38mm (22.2 m) 3 Mu), capillary spacing of 90cm and dripper spacing of 30cm, calculating to obtain irrigation quota deviation, and comparing optimization results to be shown in table 3.
Table 3 comparison of case optimization results:
as can be seen from table 3, after the optimization method is adopted in this embodiment, the drip irrigation system completes a complete irrigation process, which can shorten a time of irrigation by about 14 hours, reduce energy consumption by 19%, improve water resource utilization by about 15%, reduce the deviation rate of the entire irrigation quota of the pipe network by 37%, significantly improve irrigation uniformity, and reduce labor intensity of farmers.
The embodiments in the present description are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other. The device disclosed by the embodiment corresponds to the method disclosed by the embodiment, so that the description is simple, and the relevant points can be referred to the method part for description.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (7)
1. A rotation irrigation system optimization method for improving field drip irrigation uniformity is characterized by comprising the following steps:
s1, calculating the inlet pressure of each irrigation cell of a drip irrigation system based on the traditional design of a drip irrigation project;
s2, calculating the pressure range and the flow range of the drippers of the irrigation community based on the inlet pressure of each irrigation community;
s3, under the condition that the dripper distance and the capillary distance are not changed, ensuring that the irrigation quota is not changed, and respectively calculating the irrigation time of each irrigation cell based on the dripper flow range of the irrigation cell;
and S4, determining the irrigation time of each rotation group based on the irrigation time of each irrigation cell, and optimizing the rotation system by controlling the irrigation time of each rotation group.
2. The method for optimizing a rotation system for improving field drip irrigation uniformity according to claim 1, wherein the step S4 is followed by the step of: and S5, calculating the irrigation quota deviation, and reflecting the irrigation uniformity through the irrigation quota deviation.
3. The optimization method of the rotation regime for improving the irrigation uniformity of the field drip irrigation according to claim 1, wherein the S1 is used for calculating the inlet pressure of each irrigation cell of the drip irrigation system according to the following formula:
h nm ＝H-Z p +Z b -∑h fnm -∑h inm
in the formula, h nm The working pressure of the inlet of the irrigation district on the mth branch pipe on the nth branch pipe is shown, H is the designed water head pressure of the system, Z p Indicates the height, Z, of the water inlet of the pipe network of the irrigation school zone b Represents the design water level of the system water source, sigma h fnm Represents the water head loss on the way of the pipeline from the inlet of the system to the inlet of the mth irrigation small area on the nth main branch pipe, sigma h inm And (3) local head loss of a pipeline and equipment from a system inlet to an mth irrigation cell inlet on the nth main branch pipe is represented, wherein H specifically is as follows:
H＝Z p -Z b +h 0 +∑h f +∑h i
in the formula, h 0 Represents the working pressure, Σ h, of the inlet of a typical irrigation district f Represents the head loss on the way of the pipeline from the system inlet to the inlet of a typical irrigation district, sigma h i Representing the local head loss of piping and equipment from the system inlet to the inlet of a typical watering cell.
4. The optimization method of the rotation irrigation system for improving the irrigation uniformity of the field drip irrigation according to claim 1, wherein the S2 is used for calculating the pressure of the drippers according to the following formula:
h dripper ij ＝h nm -h Zhi i -h Hair ij
In the formula, h Dripper ij Represents the j-th dripper inlet pressure on the ith capillary, h nm Denotes the number n on the nth divided pipeWorking pressure of inlet of irrigation district on m branch pipes, h Zhi i Represents the pressure difference between the inlet of the ith capillary and the inlet of the branch pipe, h Hair ij The pressure difference from the jth dripper inlet to the ith capillary inlet is shown;
the dripper flow is calculated by:
in the formula, q Dripper ij And (3) representing the flow of the jth dripper on the ith capillary, wherein k is a flow coefficient, x is a flow state index, and the range of the flow of the dripper in the irrigation cell is calculated according to the range of the inlet pressure of the dripper in the irrigation cell.
5. The optimization method of the rotation irrigation system for improving the uniformity of field drip irrigation according to claim 1, wherein the S3 calculates the duration of the first irrigation of the jth emitter on the ith capillary according to the following formula:
t ij ＝MS e S l /q dripper ij
In the formula, t ij Showing the duration of primary irrigation of the jth dripper on the ith capillary, M showing the designed irrigation quota, and q Dripper ij Showing the flow of the jth dripper on the ith capillary, S e Is the dripper spacing, S l The distance between the capillary tubes;
calculating the watering time of the watering cell by the following formula:
t nm ＝max(t 11 ,t 12 ,t 13 …t ij )
in the formula, t nm And the duration of primary irrigation of the irrigation district corresponding to the mth branch pipe on the nth branch pipe is represented.
6. The optimization method of the rotation irrigation system for improving the field drip irrigation uniformity according to claim 1, wherein the step S4 specifically comprises: taking the irrigation time required by the irrigation cell with the maximum irrigation duration in one rotation irrigation group as the rotation irrigation groupIs water filling time t' nm 。
7. The optimization method of the rotation irrigation system for improving the irrigation uniformity of the field drip irrigation according to claim 2, wherein the irrigation quota deviation is calculated by the following formula in S5:
in the formula, M v Indicating deviation of water filling quota, M d Denotes the maximum net irrigation quota, M max For maximum water rating in the pipe network, M min For minimum irrigation quota in the pipe network, wherein:
M d ＝γzρ(θ max -θ min )
wherein gamma is the soil capacity, z is the planned wetting layer depth of the soil, rho is the designed soil wetting ratio, theta max To suit the upper limit of the water content of the soil, theta min Lower limit of water content of suitable soil q Dripper ij Denotes the flow rate, t ', of the jth dripper on the ith capillary' nm Time of irrigation for the rotation irrigation set, S e Is the dripper spacing, S l The distance between the capillary tubes is equal to the distance between the capillary tubes,
the nth branch pipe, the mth branch pipe and the mth branch pipe in the whole pipe networkThe actual irrigation quota of the i capillary and the j-th dripper within the duration of one irrigation.
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