Conduit EM Wave Speed Measurement Using k-ω Spectral Ridge Analysis
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Solution Overview
Problem
Existing methods for measuring the speed of electromagnetic wave propagation in fluids within conduits are limited by the need for calibration and are ineffective in lossy fluid mixtures, and they do not provide full-bore measurements across all fluid volumes.
Innovation Solution
A method using an array of antennas to acquire spatio-temporally-sampled data, generate a k-ω plot, identify a spectral ridge, and determine the slope to calculate the speed of electromagnetic wave propagation, which does not require calibration and works with both lossy and non-lossy fluids.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If traditional calibration-based methods are used to measure EM wave propagation speed, then measurement can be performed with existing equipment, but the method requires calibration and is ineffective in lossy fluid mixtures
Solution Approach 1:
The patent extracts and eliminates the calibration step from the measurement process by using a different physical approach. Instead of relying on calibration-based methods that fail in lossy fluids, the invention uses spectral analysis of EM wave propagation characteristics to directly determine propagation speed without calibration, thereby resolving the contradiction between reliability in lossy fluids and device complexity
Solution Approach 2:
The patent changes the measurement parameter from calibration-dependent values to spectral characteristics (frequency and wavenumber relationships) that are inherently independent of fluid loss properties. By measuring the relationship between angular frequency ω and wavenumber k, the system determines propagation speed c through the dispersion relation without requiring calibration or being affected by fluid losses
2Measurement precision
If conventional measurement techniques are used, then equipment cost is reduced, but full-bore measurements across all fluid volumes are not achieved
Solution Approach 1:
The patent transitions from point-based or partial measurements to full-bore measurements by utilizing the spatial distribution of antenna elements across the conduit cross-section. The spectral analysis method processes signals from multiple antenna elements simultaneously, enabling measurement across the entire fluid volume (full-bore) rather than at discrete points, thereby achieving comprehensive measurement coverage
Solution Approach 2:
The measurement system achieves multi-functionality by using the same antenna array and spectral analysis approach to measure EM wave propagation speed across all fluid volumes and conditions. The system universally handles different fluid types (lossy and non-lossy) and full-bore measurements without requiring different equipment configurations
3Measurement precision
If vector network analyzers are used for measurement, then accurate speed determination is achieved, but costly equipment is required
Solution Approach 1:
The patent replaces expensive vector network analyzers with more economical equipment such as spectrum analyzers or signal processing systems that can perform spectral analysis. By using the relationship between angular frequency and wavenumber from antenna array measurements, the system achieves accurate propagation speed determination without requiring costly specialized equipment, thereby reducing device complexity and cost while maintaining measurement precision
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
Enables accurate measurement of electromagnetic wave propagation speed in fluids without calibration, providing full-bore measurements across all fluid volumes and operating at any frequency, eliminating the need for costly vector network analyzers.
Implementation Method 1
measuring the speed of electromagnetic wave propagation in a fluid within a conduit
Implementation Method 2
A k-ω plot plotting curves having a kinematic relationship ω=ck is generated based on the spatio-temporally-sampled data and using a spectral-based algorithm technique
Data Source
AI summary
Systems and methods include a method for determining wave propagation speed. Spatio-temporally-sampled data for electromagnetic (EM) wave propagation through a fluid in a conduit is acquired for different instants of time from each antenna of an array of antennas distributed at predetermined locations. A k-ω plot plotting curves having a kinematic relationship ω=ck is generated based on the spatio-temporally-sampled data and using a spectral-based algorithm, where ω is an angular frequency of a spectral component of EM disturbances, k is a wavenumber, and c is an unknown speed of the EM wave propagation. A spectral ridge on the curves is identified using the k-ω plot. Parameters for calculating a slope of the spectral ridge are determined. The slope of the spectral ridge is determined. The speed of EM wave propagation is determined assuming a relation between the speed of EM wave propagation and the slope of the spectral ridge.