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CN-122021072-A - External water positioning method and system for pipe network pollution coupling inversion based on conductivity

CN122021072ACN 122021072 ACN122021072 ACN 122021072ACN-122021072-A

Abstract

The invention relates to the technical field of external water positioning, and discloses an external water positioning method and system for carrying out pipe network pollution coupling inversion based on conductivity, wherein the method comprises the steps of firstly establishing a pipe network hydraulic-conductivity coupling model, and calculating to obtain a node-monitoring point conductivity response kernel function matrix; the method comprises the steps of identifying a conductivity abnormal period, calculating an abnormal amplitude, generating an observed abnormal conductivity vector, screening out candidate external water infiltration nodes, constructing a reduced response kernel function matrix, constructing a regularized inversion equation by combining the observed abnormal conductivity vector, solving the regularized inversion equation to obtain an external water intensity inversion vector so as to determine the external water infiltration nodes, generating an external water positioning result report based on the reduced response kernel function matrix and the external water intensity inversion vector, and improving the accuracy of external water positioning of pipe network pollution coupling inversion based on conductivity.

Inventors

  • LIN HUI

Assignees

  • 浙江瑞林信息科技有限公司

Dates

Publication Date
20260512
Application Date
20260413

Claims (10)

  1. 1. The method for positioning the external water for pipe network pollution coupling inversion based on the conductivity is characterized by comprising the following steps: s1, establishing a pipe network hydraulic-conductivity coupling model based on a pipe network topological structure, pipe section attributes and monitoring point positions, and calculating to obtain a node-monitoring point conductivity response kernel function matrix; s2, based on the conductivity time sequence data of each monitoring point, identifying a conductivity abnormal period and calculating an abnormal amplitude to generate an observed abnormal conductivity vector; S3, screening out candidate external water infiltration nodes based on the conductivity abnormal period and pipe network hydraulic parameters, extracting parameters from the node-monitoring point conductivity response kernel function matrix based on the candidate external water infiltration nodes, and constructing a reduced response kernel function matrix; S4, constructing a regularized inversion equation and solving the regularized inversion equation based on the reduced response kernel function matrix and the observed abnormal conductivity vector to obtain a final external water intensity inversion vector, and determining external water infiltration nodes according to the final external water intensity inversion vector; s5, based on the reduced response kernel function matrix and the final external water intensity inversion vector, performing multi-source decoupling on the external water infiltration node and calculating positioning confidence coefficient so as to generate an external water positioning result report.
  2. 2. The method for performing pipe network pollution coupling inversion based on conductivity according to claim 1, wherein the establishing a pipe network hydraulic-conductivity coupling model based on the pipe network topology structure, pipe section attribute and monitoring point position, and calculating to obtain a node-monitoring point conductivity response kernel function matrix comprises the following steps: acquiring pipe network topological structure data, pipe section attribute data and monitoring point position data; establishing a pipe network directed graph model based on the pipe network topological structure data, and performing steady-state hydraulic calculation on the pipe network directed graph model based on the pipe section attribute data to obtain the flow rate of each pipe section and the flow velocity of each pipe section; based on the flow of each pipe section and the flow velocity of each pipe section, a one-dimensional convection dispersion equation describing the transportation process of the conductivity in the pipe network is established; traversing all potential infiltration nodes in the pipe network, and forward simulating steady-state conductivity response values generated at all monitoring points when external water with unit conductivity increment is injected at each potential node based on the one-dimensional convection dispersion equation so as to generate a node-monitoring point conductivity response kernel function matrix.
  3. 3. The method for positioning the external water for pipe network pollution coupling inversion based on conductivity according to claim 2, wherein the mathematical expression of the one-dimensional convection dispersion equation is as follows: ; wherein, C is the conductivity increment superimposed in the pipe network water caused by the infiltration of the external water, For continuous time coordinates, x is the axial distance along the pipe segment, v e is the water flow velocity in the pipe segment, and D σ is the effective diffusion coefficient within the pipe segment.
  4. 4. The method for positioning the external water for pipe network pollution coupling inversion based on the conductivity according to claim 1, wherein the steps of identifying a conductivity anomaly time period and calculating an anomaly magnitude based on the conductivity time sequence data of each monitoring point to generate an observed anomaly conductivity vector comprise the following steps: Calculating local statistical characteristics of each monitoring point based on the acquired conductivity time sequence data of each monitoring point to obtain a local mean value and a local standard deviation corresponding to each time point; Based on the local mean value and the local standard deviation, calculating an abnormality detection index of each monitoring point at each time point, comparing the abnormality detection index with a preset abnormality threshold value, identifying an abnormality moment and generating an electric conductivity abnormality period set of each monitoring point; and calculating the abnormal amplitude of the conductivity in each abnormal period based on the conductivity time sequence data and the local mean value in the abnormal period set of the conductivity, and combining the abnormal amplitudes of all monitoring points into an observed abnormal conductivity vector.
  5. 5. The method for positioning the external water for pipe network pollution coupling inversion based on the conductivity according to claim 2, wherein the step of screening out candidate external water infiltration nodes based on the abnormal conductivity period and the pipe network hydraulic parameters comprises the following steps: Calculating abnormal signal time difference between any two monitoring points based on the conductivity abnormal time period set of each monitoring point; calculating hydraulic propagation time between any two monitoring points based on the pipe network topological structure and the flow velocity of each pipe section; Screening the monitoring points based on the abnormal signal time difference and the hydraulic propagation time to obtain a monitoring point pair meeting the propagation consistency condition; And tracing upstream nodes along the countercurrent direction based on the monitoring point pairs meeting the transmission consistency condition and the pipe network topological structure, and combining all traced upstream nodes to generate a candidate external water infiltration node set.
  6. 6. The method for performing pipe network pollution coupling inversion based on conductivity according to claim 5, wherein the screening the monitoring points based on the abnormal signal time difference and the hydraulic propagation time to obtain the monitoring point pair meeting the propagation consistency condition comprises: Calculating the propagation consistency index of the abnormal signal between two monitoring points based on the abnormal signal time difference and the hydraulic propagation time; And comparing the transmission consistency index with a preset consistency threshold value, and screening out monitoring point pairs meeting transmission consistency conditions.
  7. 7. The method for performing pipe network pollution coupling inversion based on conductivity according to claim 1, wherein the extracting parameters from the node-monitoring point conductivity response kernel function matrix based on the candidate external water infiltration node to construct a reduced response kernel function matrix comprises: And extracting the corresponding row of the candidate external water infiltration node from the node-monitoring point conductivity response kernel function matrix to generate a reduced response kernel function matrix.
  8. 8. The method for performing pipe network pollution coupling inversion based on conductivity according to claim 1, wherein constructing a regularized inversion equation based on the reduced response kernel function matrix and the observed abnormal conductivity vector and solving to obtain a final external water intensity inversion vector, and determining external water infiltration nodes according to the final external water intensity inversion vector comprises: Based on the reduced response kernel function matrix and the observed abnormal conductivity vector, introducing a regularization term, and constructing a regularized inversion equation describing a linear relation between monitoring abnormality and node infiltration intensity; Solving the regularized inversion equation, deducing to obtain a corresponding normal equation, and obtaining an external water intensity inversion vector related to regularized parameters by solving the normal equation; Selecting a value which minimizes a generalized cross validation index from a group of candidate regularization parameters as an optimal regularization parameter, and re-solving the normal equation based on the optimal regularization parameter to obtain a final external water intensity inversion vector; And calculating the normalized contribution rate of each candidate node based on the final external water intensity inversion vector, and determining external water infiltration nodes according to a preset contribution rate threshold.
  9. 9. The method for performing pipe network pollution coupling inversion based on conductivity according to claim 1, wherein said performing multi-source decoupling on said external water infiltration node and calculating a positioning confidence based on said reduced response kernel function matrix and said final external water intensity inversion vector to generate an external water positioning result report comprises: Calculating the response similarity between any two external water infiltration positioning nodes based on the reduced response kernel function matrix and the final external water intensity inversion vector; Based on the response similarity and a preset similarity threshold, performing multi-source decoupling on the positioning nodes, and merging nodes with highly similar responses into an equivalent external water source; Calculating a positioning confidence index of each final positioning node based on the reduced response kernel function matrix, the external water intensity inversion vector and a multi-source decoupling result; and grading the positioning result based on the positioning confidence index, and generating an external water positioning result report by combining the spatial position, infiltration intensity, normalized contribution rate and multi-source decoupling information of each node.
  10. 10. An external water positioning system for pipe network pollution coupling inversion based on conductivity, which is used for realizing the external water positioning method for pipe network pollution coupling inversion based on conductivity according to any one of claims 1-9, and is characterized in that the system comprises: conductivity coupling modeling is used for establishing a pipe network hydraulic-conductivity coupling model based on a pipe network topological structure, pipe section attributes and monitoring point positions, and generating a node-monitoring point conductivity response kernel function matrix; the abnormality identification module is used for identifying a conductivity abnormal period and calculating an abnormal amplitude based on the conductivity time sequence data of each monitoring point to generate an observed abnormal conductivity vector; The regional primary screening module is used for calculating abnormal signal propagation consistency based on the conductivity abnormal period and pipe network hydraulic parameters, screening out candidate external water infiltration nodes, extracting corresponding rows from the node-monitoring point conductivity response kernel function matrix and generating a reduced response kernel function matrix; The intensity inversion module is used for constructing a regularized inversion equation based on the reduced response kernel function matrix and the observed abnormal conductivity vector and solving the regularized inversion equation to obtain a final external water intensity inversion vector, and determining external water infiltration nodes according to the final external water intensity inversion vector; And the decoupling evaluation module is used for carrying out multi-source decoupling on a plurality of external water infiltration nodes based on the reduced response kernel function matrix and the final external water intensity inversion vector and calculating positioning confidence so as to generate an external water positioning result report.

Description

External water positioning method and system for pipe network pollution coupling inversion based on conductivity Technical Field The invention relates to the technical field of external water positioning, in particular to an external water positioning method and an external water positioning system for pipe network pollution coupling inversion based on conductivity. Background The external water infiltration positioning of the pipe network is a key technology for operation maintenance and pollution prevention and control of the pipe network, in the prior art, external water infiltration is identified through conductivity monitoring, but an accurate pipe network hydraulic-conductivity coupling model is not constructed, conductivity data and hydraulic parameters are only analyzed independently, a convection dispersion transportation rule of conductivity in the pipe network is not considered, a node-monitoring point conductivity response kernel function matrix is not generated, influence relation of different node infiltration on the conductivity of the monitoring point cannot be quantified, theoretical support is lacked in association analysis of a conductivity abnormal signal and an infiltration node, and physical association and accuracy of positioning results are low. The existing external water positioning method mostly adopts a single inversion or screening strategy, lacks a multi-stage fusion inversion positioning framework, only screens and determines candidate nodes through simple abnormal time periods, does not combine regularized inversion to realize accurate solution of infiltration intensity, does not carry out multi-source decoupling and positioning confidence assessment on the positioning nodes, easily misjudges coupling sources with similar response as a plurality of independent infiltration sources, cannot quantify the credibility of positioning results, has the problems of overlarge range of the candidate nodes, unstable inversion solution, lack of uncertainty assessment on the positioning results and the like, and is difficult to meet the requirement of accurately positioning the external water infiltration nodes in engineering practice, so that the accuracy of positioning the external water infiltration nodes is improved, and the problem to be solved urgently is solved. Disclosure of Invention The invention provides an external water positioning method and an external water positioning system for pipe network pollution coupling inversion based on conductivity, which are used for solving the problems in the background technology. In order to achieve the above purpose, the method for positioning the external water for pipe network pollution coupling inversion based on conductivity provided by the invention comprises the following steps: s1, establishing a pipe network hydraulic-conductivity coupling model based on a pipe network topological structure, pipe section attributes and monitoring point positions, and calculating to obtain a node-monitoring point conductivity response kernel function matrix; s2, based on the conductivity time sequence data of each monitoring point, identifying a conductivity abnormal period and calculating an abnormal amplitude to generate an observed abnormal conductivity vector; S3, screening out candidate external water infiltration nodes based on the conductivity abnormal period and pipe network hydraulic parameters, extracting parameters from the node-monitoring point conductivity response kernel function matrix based on the candidate external water infiltration nodes, and constructing a reduced response kernel function matrix; S4, constructing a regularized inversion equation and solving the regularized inversion equation based on the reduced response kernel function matrix and the observed abnormal conductivity vector to obtain a final external water intensity inversion vector, and determining external water infiltration nodes according to the final external water intensity inversion vector; s5, based on the reduced response kernel function matrix and the final external water intensity inversion vector, performing multi-source decoupling on the external water infiltration node and calculating positioning confidence coefficient so as to generate an external water positioning result report. In a preferred embodiment, the building of the hydraulic-electric conductivity coupling model of the pipe network based on the pipe network topology structure, pipe section attribute and monitoring point position, and the calculation of the node-monitoring point electric conductivity response kernel function matrix comprise: acquiring pipe network topological structure data, pipe section attribute data and monitoring point position data; establishing a pipe network directed graph model based on the pipe network topological structure data, and performing steady-state hydraulic calculation on the pipe network directed graph model based on the pipe section attribute data to obta