Flow-estimation Processor Using Manning Formula for Sewer Flow
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Solution Overview
Problem
Estimating flow rates in water management systems is challenging due to the high cost of direct measurement instruments and the sensitivity of the Manning formula to small errors in static sewer pipe characteristics, which can change over time, making it difficult to obtain accurate calculations without frequent and costly real-time measurements.
Innovation Solution
A system that uses a flow-estimation processor to calculate and visualize estimated flow rates based on flow-depth measurements and initial/updated flow-estimation parameters, allowing for presentation via a user interface and enabling users to input updated values to adjust calculations, incorporating the Manning formula and other parameters for accurate flow rate estimation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If direct measurements of flow rates are performed using instruments, then measurement precision is improved, but device complexity and cost increase
Solution Approach 1:
The patent uses an intermediary approach by measuring flow depth (a simple parameter) and using the Manning formula as a mediator to calculate flow rate, rather than directly measuring flow rate with complex instruments. This intermediary measurement method achieves acceptable accuracy while avoiding complex flow measurement devices.
Solution Approach 2:
The patent replaces mechanical flow measurement instruments with a computational approach using the Manning formula. Instead of using mechanical devices to directly measure flow rate, the system substitutes a mathematical model that calculates flow rate from flow depth measurements, thereby eliminating the need for complex mechanical flow measurement systems.
2Manufacturing precision
If real-time measurements of sewer pipe characteristics are performed, then manufacturing precision is improved, but device complexity and cost increase
Solution Approach 1:
The patent applies preliminary action by measuring sewer pipe characteristics (slope, shape, roughness) during construction or at convenient intervals, storing these values for later use in flow rate calculations. This preliminary measurement approach allows the system to use static characteristics without requiring continuous real-time measurement, thereby reducing device complexity while maintaining calculation accuracy.
Solution Approach 2:
The system uses self-service by relying on previously measured sewer pipe characteristics that remain relatively stable over time. Instead of requiring continuous external measurement interventions, the system serves itself by using stored characteristic values for ongoing flow rate estimations, reducing the need for complex continuous monitoring equipment.
3Device complexity
If the Manning formula is used to estimate flow rates, then device complexity is reduced, but measurement precision deteriorates due to sensitivity to parameter errors
Solution Approach 1:
The patent implements feedback by allowing users to input updated values for Manning formula parameters (such as roughness coefficient, slope, or shape factors) when new information becomes available or when calculations are found to be inaccurate. This feedback mechanism enables the system to refine its flow rate estimations without requiring complex real-time measurement systems, thereby maintaining simplicity while improving precision when needed.
4Measurement precision
If frequent updates of flow-estimation parameters are performed, then measurement precision is improved, but loss of time increases
Solution Approach 1:
The patent applies periodic action by allowing users to update Manning formula parameters at convenient intervals rather than requiring continuous updates. The system maintains flow rate estimation capability using initial parameter values and allows periodic refinement when new information is obtained or when accuracy issues arise, thereby balancing precision improvement with time efficiency.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach provides a cost-effective method for estimating flow rates by allowing for real-time adjustments and visual representation of changes in flow rate calculations, improving accuracy and reducing the need for frequent, costly measurements of sewer pipe characteristics.
Implementation Method 1
using the 'Gauckler-Manning-Strickler formula' (or simply the 'Manning formula'), flow rates can be estimated based on characteristics of the sewage flow and the sewer pipe
Implementation Method 2
The Manning formula is sensitive to the accuracy of the formula's variable values: even small errors in these values may affect the accuracy of the estimations produced by the formula
Data Source
AI summary
In one embodiment, a flow-estimation processor receives one or more flow-depth measurements with each flow-depth measurement having been taken at a respective time. The processor calculates a respective estimated flow rate for each of the times based on the corresponding flow-depth measurement and one or more flow-estimation parameters each set to a respective initial value. The processor outputs the estimated flow rates for presentation via a user interface, and receives via the user interface one or more updated values corresponding respectively to a flow-estimation parameter. The processor calculates an updated estimated flow rate for each of the one or more times, such that each respective updated estimated flow rate is calculated based on the received updated values. The processor then outputs the updated estimated flow rates for presentation via the user interface.