CN111008357A - Method for determining average silt height of sediment in sewage pipeline - Google Patents

Method for determining average silt height of sediment in sewage pipeline Download PDF

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CN111008357A
CN111008357A CN201911317111.4A CN201911317111A CN111008357A CN 111008357 A CN111008357 A CN 111008357A CN 201911317111 A CN201911317111 A CN 201911317111A CN 111008357 A CN111008357 A CN 111008357A
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祖超锋
汤家源
吴腾
於程洋
刘杰
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Sinohydro Bureau 7 Co Ltd
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Abstract

The invention discloses a method for determining the average silting height of silt in a sewage pipeline, belonging to the technical field of drainage pipe networks1And the average flow velocity U of the cross section of the sewage pipeline0(ii) a Theoretically determining the silt-free deposition and the average flow velocity U of the pipeline when the silt deposits in the pipeline by adopting a hydraulics method1And U2(ii) a Carrying out indoor test to determine average flow velocity in pipeline under different water level conditions when no sediment is deposited, and taking U when no indoor test data exists3＝U1(ii) a Establishing a relation between flow velocities and converting the relation into a relation containing a silt clogging height Z in the sewage pipeline2And finally, determining the average silt height of the silt in the sewage pipeline by adopting a Newton iteration method. The invention is suitable for the average silting height of different silt in the circular sewage pipe orIn case of different water depths.

Description

Method for determining average silt height of sediment in sewage pipeline
Technical Field
The invention belongs to the technical field of drainage pipe networks, and particularly relates to a method for determining the average silt height of silt in a sewage pipeline.
Background
The pipeline in the city is equivalent to the artery of a city, and whether the drainage pipe can normally operate or not influences the central problem and the economic development of the city development and construction in China. The problem of silt clogging of the drain pipe is increasingly prominent when domestic drainage, industrial garbage, silt and other garbage enter the drain pipe. The clogging components of the drain pipe mainly comprise silt, various metal particles, fine domestic garbage, nitrogen and phosphorus organic matters and the like. In severe cases, the outbreak of heavy rain can cause urban waterlogging or sewage overflow.
In order to solve the problem of serious accumulation of sludge in a sewage discharge pipe, sludge cleaning work is carried out every year in China.
At present, manual dredging is adopted for pipelines with larger diameters in the drainage pipes. The most commonly adopted method is to flush sludge in the pipe to one side by using a high-pressure water gun and to assist by using a sewage suction truck, and a large amount of manpower and material resources are required by adopting the method. And for some pipelines with smaller diameters and which cannot be entered manually, robots are mostly adopted for dredging. Currently, pipeline robots can walk freely along pipelines and carry various sensors.
General pipeline robot can accomplish drain pipe liquid level detection, pipeline clearance, the inside gas analysis of pipeline, old pipeline corrosion degree and damaged condition monitoring etc.. The method for detecting the liquid level of the drainage pipe network mainly comprises an ultrasonic method, a pressure method and the like. But the calculation method for the silt clogging height in the drainage pipe is less at present. The real-time online detector for the sludge thickness of the drainage pipeline is used for online monitoring of the sludge accumulation thickness in urban rainwater, sewage and other similar pipelines, and provides support for dredging work through online monitoring of the sludge thickness. However, the required instruments of the invention have high cost and complex operation.
Disclosure of Invention
The purpose of the invention is as follows: the invention aims to provide a method for determining the average silt height in a sewage pipeline, which can calculate the average silt height in a drainage pipe only by knowing the water level of the drainage pipe and the flow velocity of water in the drainage pipe; the method is simple in calculation and high in operability.
The technical scheme is as follows: in order to achieve the purpose, the invention provides the following technical scheme:
a method for determining the average silt blockage height of a sewage pipeline comprises the following steps:
step 1, measuring the diameter d of a sewage pipeline and the average slope J of the laid sewage pipeline, and determining the resistance coefficient n of the sewage pipeline;
step 2, measuring the water surface height Z of the sewage pipeline1And the average flow velocity U of the cross section in the sewage pipeline under the condition0And assuming that the silt blocking height in the sewage pipeline is Z2；
Step 3, setting parameters
Figure BDA0002326133300000021
Calculating the water surface height Z in the sewage pipeline when no silt deposits in the sewage pipeline1Under the condition, the cross-sectional area A of the pipeline1Hezhou chi1；
Step 4, calculating the average flow speed U of the pipeline when no silt is deposited in the sewage pipe under the theoretical condition according to the conditions in the step 1 and the step 31；
Step 5, the height Z of the water surface in the sewage pipeline1The silt blocking height is Z2While establishing the average flow velocity U of the pipeline2The expression of (1);
step 6, theoretically, the ratio of the average flow velocity in the pipeline when silt deposition exists and silt deposition does not exist is
Figure BDA0002326133300000022
Step 7, measuring the water surface height Z when no silt deposits1Measured average flow velocity U in pipe under condition3；
Step 8, calculating the ratio of the measured average flow velocity in the sewage pipeline when sediment is deposited to the measured average flow velocity in the pipeline when no sediment is deposited
Figure BDA0002326133300000023
Step 9, considering the measured value K in step 80And the theoretical value K in step 61Equality, equation K is established1＝K0；
Step 10, converting the equation in the step 9 into a function related to B;
step 11, solving the function in the step 10 by adopting a Newton iteration method to obtain a numerical value of the parameter B;
step 12, converting the parameter B into the average silting height Z of the silt in the pipeline2＝d(1-B)/2。
Further, in the step 1, the average slope J of the sewage pipeline laying can be a design value, and when no design data exists, 1 per thousand can be selected; the drag coefficient n of the sewage pipeline can be determined according to the material of the pipeline, wherein the plastic pipe of UPVC, HDPE and the like is 0.01, the reinforced concrete pipe is 0.014, and when the material can not be determined, 0.013 can be taken.
Further, in the step 3, the water cross-sectional area A1Hezhou chi1The calculation formula of (a) is respectively:
Figure BDA0002326133300000024
χ1＝d·arccosA；
wherein d is the diameter of the drain pipe and the unit is m;
Figure BDA0002326133300000031
Z1is the height of the water surface and has the unit of m.
Further, in step 4, the average flow velocity U in the pipeline when no silt is deposited1Calculated using the formula:
Figure BDA0002326133300000032
further, in step 5, the pipelines are averaged when silt is depositedFlow rate U2The expression of (a) is:
Figure BDA0002326133300000033
in the formula (I), the compound is shown in the specification,
Figure BDA0002326133300000034
further, in step 7, the measured average flow velocity U in the pipeline when no sediment is deposited3Can be obtained by laboratory test, and when there is no laboratory test data, take U3＝U1。
Further, the function of step 10 with respect to B is:
Figure BDA0002326133300000035
order to
Figure BDA0002326133300000036
The function becomes:
Figure BDA0002326133300000037
further, in step 11, the newton iteration method is:
Figure BDA0002326133300000038
in the formula (I), the compound is shown in the specification,
Figure BDA0002326133300000039
f'(Bk) Is the derivative of f (B); k is the number of times in the iterative process and is a positive integer.
The working principle is as follows: the average silt blocking height of the sewage pipeline is difficult to measure directly, the invention adopts the hydraulics principle to calculate the average flow velocity when silt is blocked in the pipeline and the average flow velocity when no silt is blocked, determines the ratio of the average flow velocity and the average flow velocity, establishes a function containing the average silt blocking height of the pipeline, and solves the problem by a Newton iteration method. The method only needs to measure the water level of the pipeline and the corresponding average flow velocity of the pipeline and can obtain the silting height of the pipeline.
Has the advantages that: compared with the prior art, the method for determining the average silt blockage height in the sewage pipeline has the advantages that the silt blockage height is obtained by utilizing the sewage flow speed in the sewage pipeline according to the characteristics of the drain pipe; meanwhile, the method is simple and convenient, and does not need a complex instrument to measure the thickness of the silt blockage; the calculation formula of the silt blocking height is suitable for the conditions of different water depths or different silt blocking heights in the drainage pipe, and has universality.
Drawings
FIG. 1 is a flow chart of the average silt height in a drainage pipeline according to the present invention;
FIG. 2 is a first pattern of the positions of the silt lock top surface and the overflow surface of the pipe of the present invention;
FIG. 3 is a second pattern of the position of the silt lock top surface and overflow surface of the pipeline of the present invention;
FIG. 4 is a third pattern of the position of the silt lock top surface of the pipe and the overflow surface of the present invention.
Detailed Description
The invention will be further described with reference to the following drawings and specific embodiments.
FIG. 1 is a flow chart of a method for determining the average silt depth in a sewer line, the flow including determining characteristics of the line including material, diameter, level of the sewer line, and flow rate; then, establishing an expression of the average flow speed and the average silting height of the pipeline after and before the pipeline is silted based on the hydraulics principle; substituting the pipeline characteristic parameters into the formula, and finally carrying out iterative solution to obtain the average silt height of the pipeline. Fig. 2-4 are three position patterns of a silt clogging top surface and an overflowing water surface of a pipeline respectively, and a method for determining the average clogging height of silt in a sewage pipeline comprises the following steps:
step 1, measuring the diameter d of a sewage pipeline and the average slope J of the laid sewage pipeline, and determining the resistance coefficient n of the sewage pipeline;
step 2, measuring the water surface height Z of the sewage pipeline1And the average flow velocity U of the cross section in the sewage pipeline under the condition0And assuming that the silt blocking height in the sewage pipeline is Z2；
Step 3, setting parameters
Figure BDA0002326133300000041
Calculating the water surface height Z in the sewage pipeline when no silt deposits in the sewage pipeline1Under the condition, the cross-sectional area A of the pipeline1Hezhou chi1；
Step 4, calculating the average flow speed U of the pipeline when no silt is deposited in the sewage pipe under the theoretical condition according to the conditions in the step 1 and the step 31；
Step 5, the height Z of the water surface in the sewage pipeline1The silt blocking height is Z2While establishing the average flow velocity U of the pipeline2The expression of (1);
step 6, theoretically, the ratio of the average flow velocity of the pipeline when silt deposition exists and silt deposition does not exist is
Figure BDA0002326133300000051
Step 7, measuring the water surface height Z when no silt deposits1Measured average flow velocity U in pipe under condition3；
Step 8, calculating the ratio of the actually measured average flow velocity of the section of the sewage pipeline when sediment is deposited to the actually measured average flow velocity of the pipeline when no sediment is deposited
Figure BDA0002326133300000052
Step 9, considering the measured value K in step 80And the theoretical value K in step 61Equality, equation K is established1＝K0；
Step 10, converting the equation in the step 9 into a function related to B;
step 11, solving the function in the step 10 by adopting a Newton iteration method to obtain a numerical value of the parameter B;
step 12, converting the parameter B into the average silting height Z of the silt in the pipeline2＝d(1-B)/2。
In the step 1, the average slope J of the sewage pipeline laying can be a design value, and when no design data exists, 1 per mill can be taken; the drag coefficient n of the sewage pipeline can be determined according to the material of the pipeline, wherein the plastic pipe of UPVC, HDPE and the like is 0.01, the reinforced concrete pipe is 0.014, and when the material can not be determined, 0.013 can be taken.
In step 3, the cross-sectional area A of the water1Hezhou chi1The calculation formula of (a) is respectively:
Figure BDA0002326133300000053
χ1＝d·arccosA；
wherein d is the diameter of the drain pipe and the unit is m;
Figure BDA0002326133300000054
Z1is the height of the water surface and has the unit of m.
In step 4, the average flow rate U of the pipeline when no silt is deposited1Calculated using the formula:
Figure BDA0002326133300000055
in step 5, the average flow rate U of the pipeline when silt is deposited2The expression of (a) is:
Figure BDA0002326133300000056
in the formula (I), the compound is shown in the specification,
Figure BDA0002326133300000057
in step 7, the actually measured average flow rate U in the pipeline when no sediment is deposited3Can be obtained by laboratory test, and when there is no laboratory test data, it can be taken as U3＝U1。
The function for B in step 10 is:
Figure BDA0002326133300000061
order to
Figure BDA0002326133300000062
The function becomes:
Figure BDA0002326133300000063
in step 11, the newton iteration method is:
Figure BDA0002326133300000064
in the formula (I), the compound is shown in the specification,
Figure BDA0002326133300000065
f'(Bk) Is the derivative of f (B); k is the number of times in the iterative process and is a positive integer.
Examples
Step 1, measuring the diameter d of the sewage pipeline to be 0.6m, and measuring the average slope drop J of the laid sewage pipeline to be 1 per mill; the sewage pipeline is UPVC, and the resistance coefficient n is 0.01.
Step 2, measuring the water surface height Z in the sewage pipeline10.45m, the average flow velocity U of the sewage pipeline section0＝0.893m/s；
Step 3, setting parameters
Figure BDA0002326133300000066
Step 4, calculating the water passing section area A of the pipeline under the condition that the water surface height in the pipeline is 0.45m when no silt is deposited in the sewage pipe1Hezhou chi1(ii) a Cross-sectional area A1Hezhou chi1The calculation formula of (a) is respectively:
Figure BDA0002326133300000067
χ1＝d·arccosA
wherein d is the diameter of the drain pipe and the unit is m;
Figure BDA0002326133300000068
Z1is the height of the water surface and has the unit of m.
Calculating to obtain A1＝0.227m2，χ1＝1.256m；
Step 5, calculating the theoretical average flow velocity of the pipeline when no sediment is deposited in the sewage pipe
Figure BDA0002326133300000069
Figure BDA0002326133300000071
Step 6, average flow velocity U of pipeline when silt is deposited2The expression of (a) is:
Figure BDA0002326133300000072
in the formula (I), the compound is shown in the specification,
Figure BDA0002326133300000073
step 7, taking U3＝U1Establishing a function with respect to B
Figure BDA0002326133300000074
Namely:
Figure BDA0002326133300000075
step 8, solving the equation in the step 7 by adopting Newton iteration to obtain B which is 0.5;
step 9, converting the parameter B into the average silting height Z of the silt in the pipeline2D (1-B)/2 is 0.15m, i.e., the average height of the fouling in the pipe under the conditions of this example is 0.15 m.

Claims (8)

1. A method for determining the average silt height in a sewage pipeline is characterized by comprising the following steps: the method comprises the following steps:
step 1, measuring the diameter d of a sewage pipeline and the average slope J of the laid sewage pipeline, and determining the resistance coefficient n of the sewage pipeline;
step 2, measuring the water surface height Z of the sewage pipeline1And the average flow velocity U of the cross section in the sewage pipeline under the condition0And assuming that the average silt height of the silt in the sewage pipeline is Z2；
Step 3, setting parameters
Figure FDA0002326133290000011
Calculating the water surface height Z in the sewage pipeline when no silt deposits in the sewage pipeline1Under the condition, the cross-sectional area A of the pipeline1Hezhou chi1；
Step 4, calculating the average flow speed U of the pipeline when no silt is deposited in the sewage pipe under the theoretical condition according to the conditions in the step 1 and the step 31；
Step 5, the height Z of the water surface in the sewage pipeline1The silt blocking height is Z2In time, the average flow rate U of the pipeline when silt is deposited is established2The expression of (1);
step 6, theoretically, the ratio of the average flow velocity in the pipeline when silt deposition exists and silt deposition does not exist is
Figure FDA0002326133290000012
Step 7, measuring the water surface height Z when no silt deposits1Measured average flow velocity U in pipe under condition3；
Step 8, calculating the ratio of the measured average flow velocity in the sewage pipeline when sediment is deposited to the measured average flow velocity in the pipeline when no sediment is deposited
Figure FDA0002326133290000013
Step 9, considering the measured value K in step 80And the theoretical value K in step 61Equality, equation K is established1＝K0；
Step 10, converting the equation in the step 9 into a function related to B;
step 11, solving the function in the step 10 by adopting a Newton iteration method to obtain a numerical value of the parameter B;
step 12, converting the parameter B into the average silting height Z of the silt in the pipeline2＝d(1-B)/2。
2. The method of claim 1 for determining the average silt depth in a sewer line, further comprising: in the step 1, the average slope drop J of the sewage pipeline laying is a design value, and when no design data exists, 1 per thousand can be selected; the resistance coefficient n of the sewage pipeline is determined according to the material of the pipeline, wherein the plastic pipe of UPVC, HDPE and the like is 0.01, the reinforced concrete pipe is 0.014, and when the material cannot be determined, 0.013 can be taken.
3. The method of claim 1 for determining the average silt depth in a sewer line, further comprising: in the step 3, the cross-sectional area A of the water1Hezhou chi1The calculation formula of (a) is respectively:
Figure FDA0002326133290000021
χ1＝d·arccos A；
wherein d is the diameter of the drain pipe and the unit is m;
Figure FDA0002326133290000022
Z1is the height of the water surface and has the unit of m.
4. The method of claim 3, wherein the step of determining the average silt depth in the sewer line comprises: in step 4, the average flow velocity U of the pipeline when no silt is deposited1By using a lower partCalculating the formula:
Figure FDA0002326133290000023
5. the method of claim 4 for determining the average silt depth in a sewer line, further comprising: in step 5, the average flow velocity U of the pipeline when silt is deposited2The expression of (a) is:
Figure FDA0002326133290000024
in the formula (I), the compound is shown in the specification,
Figure FDA0002326133290000025
6. the method of claim 1 for determining the average silt depth in a sewer line, further comprising: in step 7, the actually measured average flow rate U in the pipeline when no sediment is deposited3Obtained by laboratory test, when there is no laboratory test data, take U3＝U1。
7. The method of claim 3, wherein the step of determining the average silt depth in the sewer line comprises: in step 10, the function related to B is:
Figure FDA0002326133290000026
order to
Figure FDA0002326133290000027
The function becomes:
Figure FDA0002326133290000028
8. the method of claim 7, wherein the step of determining the average silt depth in the sewer line comprises: in step 11, the newton iteration method is:
in the formula (I), the compound is shown in the specification,
Figure FDA0002326133290000031
Figure FDA0002326133290000032
f'(Bk) Is the derivative of f (B); k is the number of times in the iterative process and is a positive integer.
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