CN111008357B - Method for determining average blocking height of sediment in sewage pipeline - Google Patents
Method for determining average blocking height of sediment in sewage pipeline Download PDFInfo
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- CN111008357B CN111008357B CN201911317111.4A CN201911317111A CN111008357B CN 111008357 B CN111008357 B CN 111008357B CN 201911317111 A CN201911317111 A CN 201911317111A CN 111008357 B CN111008357 B CN 111008357B
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
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- G06F17/10—Complex mathematical operations
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- E—FIXED CONSTRUCTIONS
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- E03F—SEWERS; CESSPOOLS
- E03F3/00—Sewer pipe-line systems
Abstract
The invention discloses a method for determining the average blocking height of sediment in a sewage pipeline, which belongs to the technical field of drainage pipe networks, and comprises the steps of determining the pipeline resistance coefficient according to the material of the pipeline, measuring the diameter d of the sewage pipeline and measuring the water surface height Z in the sewage pipeline 1 And the section average flow velocity U of the sewage pipeline 0 The method comprises the steps of carrying out a first treatment on the surface of the The average flow velocity U of the pipeline without sediment and with sediment is determined theoretically by adopting a hydraulic method 1 And U 2 The method comprises the steps of carrying out a first treatment on the surface of the When no sediment accumulation is determined by carrying out an indoor test, taking U when no indoor test data are available 3 =U 1 The method comprises the steps of carrying out a first treatment on the surface of the Establishing a relation between the flow rates and converting the relation into a relation containing the sediment clogging height Z in the sewage pipeline 2 And finally, determining the average blocking height of the sediment in the sewage pipeline by adopting a Newton iteration method. The invention is suitable for the conditions of different average silt blocking heights or different water depths in the sewage circular tube.
Description
Technical Field
The invention belongs to the technical field of drainage pipe networks, and particularly relates to a method for determining an average silt blocking height of silt in a sewage pipeline.
Background
The pipelines in the cities are equivalent to the arteries of one city, and whether the water draining pipe can normally run influences the central problem and economic development of urban development and construction in China. The problems of silt blockage of the drain pipe are increasingly prominent due to the fact that domestic drainage, industrial garbage, silt and other garbage enter the drain pipe. The clogging components of the drain pipe are mainly silt, various metal particles, fine household garbage, nitrogen and phosphorus organic matters and the like. In severe cases, a storm outbreak can cause urban inland inundation or sewage overflow.
In order to solve the problem of serious accumulation of sludge in a sewage drain pipe, the sludge cleaning work is carried out every year in China.
At present, for the pipeline with larger diameter in the drain pipe, manual dredging is adopted. The most commonly adopted method is to use a high-pressure water gun to wash sludge in a pipe to one side and use a sewage suction truck for assistance, and a large amount of manpower and material resources are needed by adopting the method. And for some pipelines with smaller diameters and which cannot be accessed by manpower, robotic dredging is adopted. Currently pipeline robots can walk freely along a pipeline and carry various sensors.
The general pipeline robot can finish drain pipe liquid level detection, pipeline cleaning, pipeline internal gas analysis, old pipeline corrosion degree, damage condition monitoring and the like. 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 sediment blocking height in the drain pipe is less at present. The present invention provides a real-time on-line detector for the thickness of sludge in drainage pipelines, which is used for on-line monitoring of the thickness of sludge accumulation in urban rainwater, sewage and other similar pipelines, and provides support for dredging work through on-line monitoring of the thickness of sludge. However, the apparatus required by the practical invention has high cost and complex operation.
Disclosure of Invention
The invention aims to: the invention aims to provide a method for determining the average silt height of silt in a sewage pipeline, which can calculate the average silt height of silt in a drain pipe by only knowing the water level of the drain pipe and the water flow velocity in the drain pipe; the method is simple in calculation and high in operability.
The technical scheme is as follows: in order to achieve the above purpose, the present invention provides the following technical solutions:
a method for determining the average blocking height of sediment in a sewage pipeline comprises the following steps:
step 1, measuring the diameter d of a sewage pipeline, the average gradient J of the laying of the sewage pipeline, and determining the resistance coefficient n of the sewage pipeline;
step 2, measuring the water surface height Z of the sewage pipeline 1 And a section average flow velocity U in the sewage pipeline under the condition 0 And assuming that the height of the sediment block in the sewage pipeline is Z 2 ;
Step 3, setting parametersCalculating the water level Z in a sewer pipe when no sediment is deposited in the sewer pipe 1 Under the condition, the water cross-section area A of the pipeline 1 And wet circumference chi 1 ;
Step 4, calculating the average flow velocity U of the pipeline under theoretical conditions when no sediment is deposited in the sewage pipe according to the conditions in the step 1 and the step 3 1 ;
Step 5, water level Z in the sewer 1 The sediment blocking height is Z 2 When establishing the average flow velocity U of the pipeline 2 Is an expression of (2);
step 6, the average flow velocity ratio in the pipeline is theoretically that the sediment is deposited and the sediment is not deposited
Step 7, measuring the water surface height Z when sediment accumulation is not generated 1 Measured average flow velocity U in pipeline under condition 3 ;
Step 8, calculating the ratio of the measured average flow velocity in the sewage pipeline with sediment accumulation to the measured average flow velocity in the pipeline without sediment accumulation
Step 9, consider the measured value K in step 8 0 And theoretical value K in step 6 1 Equality, establish equation K 1 =K 0 ;
Step 10, converting the equation in step 9 into a function about B;
step 11, solving the function in the step 10 by adopting a Newton iteration method to obtain the numerical value of the parameter B;
step 12, converting the parameter B into an average dredging height Z of the sediment in the pipeline 2 =d(1-B)/2。
Furthermore, in the step 1, the average gradient J of the sewage pipeline laying can take a design value, and when no design data exists, the average gradient J can take 1%; the drag coefficient n of the sewer line can be determined according to the material of the pipeline, wherein the plastic pipe such as UPVC, HDPE and the like is 0.01, the reinforced concrete pipe is 0.014, and when the material cannot be determined, 0.013 is preferable.
Further, in the step 3, the water passing cross-sectional area A 1 And wet circumference chi 1 The calculation formula of (2) is as follows:
χ 1 =d·arccosA;
wherein d is the diameter of the drain pipe, and the unit is m;Z 1 the water surface height is given by m.
Further, in the step 4, the average flow velocity U in the pipeline without sediment accumulation 1 The following formula was used for calculation:
further, in the step 5, there is an average flow rate U of the pipeline when sediment is deposited 2 The expression of (2) is:
further, in the step 7, the measured average flow velocity U in the pipeline is measured when no sediment is deposited 3 Can be obtained through indoor test, and when no indoor test data exist, U is taken out 3 =U 1 。
Further, the function about B in the step 10 is:
further, in step 11, the newton iteration method is:
in the method, in the process of the invention,f'(B k ) A derivative of f (B); k is the number of times in the iterative process, and the value is a positive integer.
Working principle: the average sediment blocking height of the sewage pipeline is difficult to directly measure, the average flow velocity when sediment blocking exists in the pipeline and the average flow velocity when sediment blocking does not exist in the pipeline are calculated by adopting the principle of hydraulics, the ratio of the average flow velocity to the average flow velocity when sediment blocking exists in the pipeline is determined, a function containing the average sediment blocking height of the pipeline is established, and the function is solved through a Newton iteration method. The method can obtain the blocking height of the pipeline by only measuring the water level of the pipeline and the average flow velocity of the corresponding pipeline.
The beneficial effects are that: compared with the prior art, the method for determining the average silt blocking height of the silt in the sewage pipeline disclosed by the invention has the advantages that the silt blocking height is determined by utilizing the sewage flow rate in the sewage pipeline according to the characteristics of the drainage 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 sediment blocking height is suitable for the conditions of different water depths or different sediment blocking heights in the drain pipe, and has universality.
Drawings
FIG. 1 is a flow chart of an average silt height in a drainage pipeline according to the present invention;
FIG. 2 is a first position pattern of the top surface of the pipe silt block and the surface of the overflow water according to the invention;
FIG. 3 is a second position pattern of the top surface of the pipe silt block and the surface of the overflow water according to the invention;
FIG. 4 is a third position pattern of the top surface of the pipe silt block and the surface of the overflow water according to the invention.
Detailed Description
The invention will be further described with reference to the drawings and the specific examples.
FIG. 1 is a flow chart of a method for determining the average clogging height of sediment in a sewer pipe, the flow including determining characteristics of the pipe including material, diameter, water level of the sewer pipe, and flow rate; then establishing an expression of average flow velocity and average blocking height of the pipeline after and before blocking based on a hydraulic principle; substituting the characteristic parameters of the pipeline into the pipeline, and finally carrying out iterative solution to obtain the average silt blocking height of the pipeline. Figures 2-4 are three types of positions of the top surface of the silt block and the overflow surface of the pipeline respectively, and a method for determining the average silt block height of the silt in the sewage pipeline comprises the following steps:
step 1, measuring the diameter d of a sewage pipeline, the average gradient J of the laying of the sewage pipeline, and determining the resistance coefficient n of the sewage pipeline;
step 2, measuring the water surface height Z of the sewage pipeline 1 And a section average flow velocity U in the sewage pipeline under the condition 0 And assuming that the height of the sediment block in the sewage pipeline is Z 2 ;
Step 3, setting parametersCalculating the water level Z in a sewer pipe when no sediment is deposited in the sewer pipe 1 Under the condition, the water cross-section area A of the pipeline 1 And wet circumference chi 1 ;/>
Step 4, calculating the average flow velocity U of the pipeline under theoretical conditions when no sediment is deposited in the sewage pipe according to the conditions in the step 1 and the step 3 1 ;
Step 5, water level Z in the sewer 1 The sediment blocking height is Z 2 When establishing the average flow velocity U of the pipeline 2 Is an expression of (2);
step 6, the average flow velocity ratio of the pipeline is theoretically that the sediment is deposited and the pipeline is free of sediment
Step 7, measuring the water surface height Z when sediment accumulation is not generated 1 Measured average flow velocity U in pipeline under condition 3 ;
Step 8, calculating the ratio of the measured section average flow velocity of the sewage pipeline with sediment accumulation to the measured pipeline average flow velocity without sediment accumulation
Step 9, consider the measured value K in step 8 0 And theoretical value K in step 6 1 Equality, establish equation K 1 =K 0 ;
Step 10, converting the equation in step 9 into a function about B;
step 11, solving the function in the step 10 by adopting a Newton iteration method to obtain the numerical value of the parameter B;
step 12, converting the parameter B into an average dredging height Z of the sediment in the pipeline 2 =d(1-B)/2。
In the step 1, the average gradient J of the sewage pipeline pavement can take a design value, and 1%o can be taken when no design data exists; the drag coefficient n of the sewer line can be determined according to the material of the pipeline, wherein the plastic pipe such as UPVC, HDPE and the like is 0.01, the reinforced concrete pipe is 0.014, and when the material cannot be determined, 0.013 is preferable.
In step 3, the cross-sectional area A of water passing 1 And wet circumference chi 1 The calculation formula of (2) is as follows:
χ 1 =d·arccosA;
wherein d is the diameter of the drain pipe, and the unit is m;Z 1 the water surface height is given by m.
In step 4, the average flow velocity U of the pipeline without sediment accumulation 1 The following formula was used for calculation:
in step 5, the average flow velocity U of the pipeline when sediment is deposited 2 The expression of (2) is:
in step 7, the measured average flow velocity U in the pipeline without sediment accumulation 3 Can be obtained through indoor test, and when no indoor test data exist, U can be taken out 3 =U 1 。
The function for B in step 10 is:
in step 11, the newton iteration method is:
in the method, in the process of the invention,f'(B k ) A derivative of f (B); k is the number of times in the iterative process, and the value is a positive integer.
Examples
Step 1, measuring the diameter d=0.6m of a sewage pipeline, and measuring the average gradient J of the laying of the sewage pipeline to be 1 per mill; the pipe material of the sewage pipeline is UPVC, and the resistance coefficient n is 0.01.
Step 2, measuring the water level Z in the sewer line 1 =0.45m, at which time the average flow velocity U of the sewage conduit section 0 =0.893m/s;
Step 4, calculating the water cross-section area A of the pipeline under the condition that the water surface height in the pipeline is 0.45m when sediment accumulation in the sewage pipe is avoided 1 And wet circumference chi 1 The method comprises the steps of carrying out a first treatment on the surface of the Cross-sectional area A of water 1 And wet circumference chi 1 The calculation formula of (2) is as follows:
χ 1 =d·arccosA
wherein d is the diameter of the drain pipe,the unit is m;Z 1 the water surface height is given by m.
Calculating to obtain A 1 =0.227m 2 ,χ 1 =1.256m;
Step 5, calculating theoretical average flow velocity of pipeline without sediment accumulation in sewage pipe
Step 6, pipeline average flow velocity U when sediment is deposited 2 The expression of (2) is:
step 7, taking U 3 =U 1 Build a function about B
step 8, solving the equation in the step 7 by adopting Newton iteration to obtain B=0.5;
step 9, converting the parameter B into an average dredging height Z of sediment in the pipeline 2 D (1-B)/2=0.15 m, i.e. the average plug height in the pipe under the conditions of this example is 0.15m.
Claims (3)
1. A method for determining the average clogging height of sediment in a sewage pipeline is characterized by comprising the following steps of: the method comprises the following steps:
step 1, measuring the diameter d of a sewage pipeline, the average gradient J of the laying of the sewage pipeline, and determining the resistance coefficient n of the sewage pipeline;
step 2, measuring the water surface height Z of the sewage pipeline 1 And a section average flow velocity U in the sewage pipeline under the condition 0 And assuming that the average blocking height of the sediment in the sewage pipeline is Z 2 ;
Step 3, setting parametersCalculating the water level Z in a sewer pipe when no sediment is deposited in the sewer pipe 1 Under the condition, the water cross-section area A of the pipeline 1 And wet circumference chi 1 ;
In the step 3, the cross-sectional area A of the water passing 1 And wet circumference chi 1 The calculation formula of (2) is as follows:
χ 1 =d·arccosA;
wherein d is the diameter of the drain pipe, and the unit is m;Z 1 the unit is m, which is the height of the water surface;
step 4, calculating the average flow velocity U of the pipeline under theoretical conditions when no sediment is deposited in the sewage pipe according to the conditions in the step 1 and the step 3 1 ;
In the step 4, the average flow speed U of the pipeline without sediment accumulation 1 The following formula was used for calculation:
step 5, sewage pipeHeight Z of water surface in road 1 The sediment blocking height is Z 2 When the average flow velocity U of the pipeline is established when sediment is deposited 2 Is an expression of (2);
in the step 5, the average flow speed U of the pipeline when sediment is deposited 2 The expression of (2) is:
step 6, the average flow velocity ratio in the pipeline is theoretically that the sediment is deposited and the sediment is not deposited
Step 7, measuring the water surface height Z when sediment accumulation is not generated 1 Measured average flow velocity U in pipeline under condition 3 ;
Step 8, calculating the ratio of the measured average flow velocity in the sewage pipeline with sediment accumulation to the measured average flow velocity of the pipeline without sediment accumulation
Step 9, consider the measured value K in step 8 0 And theoretical value K in step 6 1 Equality, establish equation K 1 =K 0 ;
Step 10, converting the equation in step 9 into a function about B;
in the step 10, the function about B is:
step 11, solving the function in the step 10 by adopting a Newton iteration method to obtain the numerical value of the parameter B;
in the step 11, the newton iteration method is as follows:
in the method, in the process of the invention,f'(B k ) A derivative of f (B); k is the number of times in the iterative process, and the value is a positive integer;
step 12, converting the parameter B into an average dredging height Z of the sediment in the pipeline 2 =d(1-B)/2。
2. A method for determining the average clogging height of silt in a sewage conduit according to claim 1, wherein: in the step 1, the average gradient J of the sewage pipeline is designed to be 1 per mill when no design data exists; the drag coefficient n of the sewer line was determined based on the material of the pipeline, wherein the UPVC and HDPE plastic pipes were 0.01 and the reinforced concrete pipes were 0.014, and 0.013 when the material could not be determined.
3. A method for determining the average clogging height of silt in a sewage conduit according to claim 1, wherein: in the step 7, the measured average flow velocity U in the pipeline without sediment accumulation 3 Obtained through indoor test, when no indoor test data exist, U is taken out 3 =U 1 。
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