A method and system for measuring the gas content of bubbles in a micro-nano bubble solution

Abstract

This invention proposes a method and system for measuring the gas content of bubbles in micro / nano bubble solutions, belonging to the technical field of fluid measurement. The method includes acquiring time-domain reflectometry (TDRS) waveform signals and the solution temperature of the micro / nano bubble solution; extracting characteristic parameters of the micro / nano bubble solution based on the TDRS waveform signals; constructing a bubble content measurement model; calibrating the system parameters of the bubble content measurement model to obtain a calibrated bubble content measurement model; inputting the characteristic parameters and the solution temperature into the calibrated bubble content measurement model; and outputting the bubble content measurement results for online monitoring. This invention can effectively improve the accuracy and stability of bubble content measurement in micro / nano bubble solutions, enabling online monitoring of bubble content.

Description

Technical Field

[0001] This invention relates to the field of fluid measurement technology, and in particular to a method and system for measuring the gas content of bubbles in micro / nano bubble solutions. Background Technology

[0002] Micro- and nano-bubble technology, with its high gas-liquid mass transfer efficiency and unique physicochemical properties, has been widely applied in fields such as environmental water treatment, aquaculture oxygenation, fine chemical reaction enhancement, and semiconductor precision cleaning. The gas content of the bubbles, or the gas volume fraction, is a core performance indicator of micro- and nano-bubble solutions, directly determining their application effects. Measuring the gas content of the bubbles is of great significance for related process optimization, process control, and scientific research.

[0003] Current methods for measuring the gas content in micro / nano bubble solutions mainly include offline sampling analysis, optical imaging, and acoustic attenuation methods. Offline sampling analysis methods, such as volumetric methods and pressure dissolution methods, require sampling and testing of the solution, which disrupts the continuity of the flow field, making real-time online monitoring impossible. Furthermore, gas escape is prone to occur during the measurement process, introducing significant measurement errors. Optical imaging methods use high-speed camera equipment to acquire bubble images and then process the images to statistically analyze the number and size distribution of bubbles. However, this method is expensive, has stringent requirements for the transparency of the water being measured and the on-site lighting conditions, and fails when there is overlap in high-concentration bubble groups, making it difficult to adapt to actual industrial conditions. Acoustic attenuation methods rely on the attenuation law of ultrasonic waves passing through bubble water to invert the gas content. However, this method is easily affected by multiple interferences from bubble size distribution and environmental noise, has a complex inversion model, and requires cumbersome on-site calibration procedures, limiting its practicality. However, while time-domain reflectometry (TDR) technology offers advantages such as non-invasive detection, fast response speed, and minimal disturbance to the measured medium, it has been successfully applied in fields such as soil moisture content and solution concentration detection. Micro-nano bubble solutions, being gas-liquid two-phase mixtures, exhibit a significant correlation between their equivalent dielectric constant and bubble gas content. While TDR technology can be used to measure gas content, it presents several challenges: Firstly, effective compensation measures have not been implemented to address the interference of industrial site water temperature fluctuations on the TDR detection signal, leading to measurement result drift and insufficient detection accuracy and stability. Secondly, the lack of an integrated solution that links with process equipment makes it impossible to intuitively and continuously characterize the dynamic changes in bubble gas content, hindering the dynamic online monitoring of bubble gas content in micro-nano bubble solutions using TDR technology. Summary of the Invention

[0004] To address the problems of low accuracy and poor stability in measuring the gas content of bubbles in micro-nano bubble solutions, which make it difficult to achieve online monitoring of bubble gas content in existing technologies, this invention proposes a method and system for measuring the gas content of bubbles in micro-nano bubble solutions. This method and system can effectively improve the accuracy and stability of measuring the gas content of bubbles in micro-nano bubble solutions and enable online monitoring of bubble gas content.

[0005] To achieve the above-mentioned technical effects, the technical solution of the present invention is as follows:

[0006] A method for measuring the gas content of bubbles in a micro / nano bubble solution includes the following steps:

[0007] S1. Acquire time-domain reflectance waveform signals and solution temperature of micro / nano bubble solution;

[0008] S2. Based on the time-domain reflection waveform signal, extract the characteristic parameters of the micro / nano bubble solution;

[0009] S3. Construct a bubble gas content measurement model, calibrate the system parameters of the bubble gas content measurement model, and obtain a bubble gas content measurement model with calibrated system parameters;

[0010] S4. Input the characteristic parameters and the solution temperature into the bubble gas content measurement model with the system parameters calibrated, and output the bubble gas content measurement results for online monitoring.

[0011] Preferably, the step of extracting characteristic parameters of the micro / nano bubble solution based on the time-domain reflection waveform signal includes:

[0012] S21. Determine the inflection point of the incident step front and the starting jump point of the first far-end reflected echo of the time-domain reflected waveform signal;

[0013] S22. Read the abscissa t1 of the inflection point of the incident step front and the abscissa t2 of the starting jump point of the far-end reflected echo, and calculate the propagation time Δt=t2-t1 of the electromagnetic wave in the sensitive section of the probe based on the abscissa t1 of the inflection point of the incident step front and the abscissa t2 of the starting jump point of the far-end reflected echo.

[0014] S23. Based on the propagation time Δt, the equivalent dielectric constant of the micro / nano bubble solution is calculated. The equivalent dielectric constant As the feature parameter.

[0015] Preferably, the equivalent dielectric constant of the micro / nano bubble solution is calculated based on the propagation time Δt. as follows:

[0016]

[0017] in, Represents the speed of light. This indicates the length of the probe's sensitive section.

[0018] Preferably, the expression for constructing the bubble gas content measurement model is as follows:

[0019]

[0020] in, This represents the calculated gas content of micro / nano bubbles. Indicates at standard reference temperature The dielectric constant of pure water, where T represents the solution temperature measured in real time. Indicates the first calibration coefficient. Indicates the second calibration coefficient. This represents the third calibration coefficient.

[0021] Preferably, the system parameters include a first calibration coefficient, a second calibration coefficient, and a third calibration coefficient, and the calibration of the system parameters for the bubble gas content measurement model includes:

[0022] S31. Determine that all are used for the first calibration coefficient. Second calibration coefficient and the third calibration coefficient The first calibration condition, the second calibration condition, and the third calibration condition;

[0023] S32. Input the first calibration condition, the second calibration condition, and the third calibration condition into the bubble gas content measurement model respectively to obtain the corresponding first bubble gas content measurement model, second bubble gas content measurement model, and third bubble gas content measurement model;

[0024] S33. Simplify the first bubble gas content measurement model and the second bubble gas content measurement model, and combine them with the third bubble gas content measurement model to obtain a ternary equation system;

[0025] S34. Perform the first calibration coefficients on the ternary equation system. Second calibration coefficient and the third calibration coefficient Solving for the first calibration coefficient yields the calibrated first calibration coefficient. Second calibration coefficient and the third calibration coefficient .

[0026] Preferably, the first calibration condition is based on the gas content of micro / nano bubbles. Real-time measurement of solution temperature in a solution with a concentration of 0. The calculated equivalent dielectric constant The second calibration condition is based on the gas content of micro / nano bubbles. = Real-time measurement of solution temperature in the solution The calculated equivalent dielectric constant The third calibration condition is based on the gas content of micro / nano bubbles. = Real-time measurement of solution temperature in the solution The calculated equivalent dielectric constant .

[0027] Preferably, the expression for the first bubble gas content measurement model is as follows:

[0028]

[0029] The expression for the second bubble gas content measurement model is as follows:

[0030]

[0031] The expression for the third bubble gas content measurement model is as follows:

[0032] .

[0033] Preferably, the first bubble gas content measurement model, the second bubble gas content measurement model, and the third bubble gas content measurement model are simplified and combined to obtain the following ternary equation system:

[0034] .

[0035] Preferably, the output of the bubble gas content measurement result for online monitoring includes:

[0036] A dynamic curve is constructed to show the change of the bubble gas content measurement result over time. The horizontal axis of the dynamic curve represents the operating time of the bubble generator, and the vertical axis represents the bubble gas content measurement result. The dynamic curve is used to monitor the bubble gas content measurement result online.

[0037] This invention also proposes a system for measuring the gas content of bubbles in micro / nano bubble solutions, comprising:

[0038] A bubble generating module is used to generate bubbles in the test solution to form a micro / nano bubble solution;

[0039] Temperature acquisition module, used to acquire the solution temperature of micro-nano bubble solution;

[0040] The measurement module is used to acquire time-domain reflection waveform signals;

[0041] The signal processing module is used to extract characteristic parameters of the micro / nano bubble solution based on the time-domain reflection waveform signal, construct a bubble gas content measurement model, calibrate the system parameters of the bubble gas content measurement model to obtain a bubble gas content measurement model with calibrated system parameters, input the characteristic parameters and the solution temperature into the bubble gas content measurement model, and output the bubble gas content measurement result from the bubble gas content measurement model.

[0042] Compared with the prior art, the beneficial effects of the technical solution of the present invention are:

[0043] This invention proposes a method and system for measuring the gas content of bubbles in micro / nano bubble solutions. First, it simultaneously acquires time-domain reflectometry waveform signals and the solution temperature of the micro / nano bubble solution. Then, it introduces the solution temperature as the core input variable into a bubble content measurement model. Based on the time-domain reflectometry waveform signal, it extracts characteristic parameters of the micro / nano bubble solution and constructs a bubble content measurement model. The system parameters of the bubble content measurement model are calibrated, resulting in a usable bubble content measurement model that simplifies the requirement for measuring complex physicochemical parameters. Furthermore, it uses the characteristic parameters and the solution temperature as core inputs to the calibrated bubble content measurement model, outputting bubble content measurement results for online monitoring. This avoids the interference of water temperature fluctuations on the time-domain reflectometry waveform signal from the data acquisition source, effectively preventing measurement drift caused by temperature effects, improving the accuracy and stability of bubble content measurement in micro / nano bubble solutions, and enabling online monitoring of bubble content. Attached Figure Description

[0044] Figure 1 This is a flowchart illustrating a method for measuring the gas content of bubbles in a micro / nano bubble solution proposed in an embodiment of the present invention.

[0045] Figure 2 This represents the dynamic curve diagram proposed in the embodiments of the present invention;

[0046] Figure 3 This is a structural block diagram of a micro / nano bubble solution bubble content measurement system proposed in an embodiment of the present invention.

[0047] Figure 4 This is a schematic diagram illustrating the specific structure of a micro / nano bubble solution bubble content measurement system proposed in this embodiment of the invention.

[0048] 11. Bubble generator; 21. Temperature sensor; 31. TDR device; 311. Pulse generator; 312. Reflection collector; 32. Coaxial cable; 33. TDR probe; 41. Processor. Detailed Implementation

[0049] The accompanying drawings are for illustrative purposes only and should not be construed as limiting the scope of this patent.

[0050] It is understandable to those skilled in the art that some well-known details may be omitted from the accompanying drawings;

[0051] The technical solution of the present invention will be further described below with reference to the accompanying drawings and embodiments.

[0052] Example 1

[0053] like Figure 1 As shown in the figure, this embodiment proposes a method for measuring the gas content of bubbles in micro / nano bubble solutions, including the following steps:

[0054] S1. Acquire the time-domain reflectance waveform signal and the solution temperature of the micro / nano bubble solution; the micro / nano bubble solution is formed by generating bubbles in the test solution using a bubble generator; during the measurement period, the time-domain reflectance waveform signal and solution temperature are acquired synchronously, which can ensure that the temperature data and the time-domain reflectance waveform signal correspond at the same time and under the same measurement state, avoiding the temperature compensation timing deviation caused by asynchronous signal acquisition, and eliminating the calculation error caused by the asynchronous temperature and time-domain reflectance waveform signals from the source;

[0055] S2. Based on the time-domain reflection waveform signal, extract the characteristic parameters of the micro / nano bubble solution;

[0056] The extraction of characteristic parameters of the micro / nano bubble solution based on the time-domain reflection waveform signal includes:

[0057] S21. Determine the inflection point of the incident step front and the starting jump point of the first far-end reflected echo of the time-domain reflected waveform signal;

[0058] S22. Read the abscissa t1 of the inflection point of the incident step front and the abscissa t2 of the starting jump point of the far-end reflected echo, and calculate the propagation time Δt=t2-t1 of the electromagnetic wave in the sensitive section of the probe based on the abscissa t1 of the inflection point of the incident step front and the abscissa t2 of the starting jump point of the far-end reflected echo.

[0059] S23. Based on the propagation time Δt, the equivalent dielectric constant of the micro / nano bubble solution is calculated. The equivalent dielectric constant As the characteristic parameter, the equivalent dielectric constant of the micro / nano bubble solution is calculated based on the propagation time Δt. as follows:

[0060]

[0061] in, Represents the speed of light. This indicates the length of the probe's sensitive section.

[0062] S2 precisely locates the inflection point of the incident step front and the starting jump point of the first far-end reflected echo of the time-domain reflected waveform signal, reads the corresponding abscissa values ​​to calculate the electromagnetic wave propagation time, and then calculates the equivalent dielectric constant based on the propagation time as the core feature parameter. This achieves refined and standardized analysis of the time-domain reflected waveform signal, eliminating the ambiguity and randomness of traditional signal processing. It can accurately capture the changes in dielectric properties of micro-nano bubble solutions, avoid the interference of bubble overlap and signal clutter on feature parameter extraction, and ensure that the extracted feature parameters are unique and accurate. This provides reliable data support for the accurate calculation of bubble gas content, improves the stability and anti-interference ability of the overall measurement method, and is suitable for detection scenarios of high-concentration micro-nano bubble solutions.

[0063] S3. Construct a bubble gas content measurement model, calibrate the system parameters of the bubble gas content measurement model, and obtain a bubble gas content measurement model with calibrated system parameters; the expression for constructing the bubble gas content measurement model is as follows:

[0064]

[0065] in, This represents the calculated gas content of micro / nano bubbles, indicating the measurement result of the gas content of bubbles in the micro / nano bubble solution. Indicates at standard reference temperature The dielectric constant of pure water is typically taken as 78.4, at a standard reference temperature. The value is usually taken as 25℃, where T represents the real-time measured solution temperature. Indicates the first calibration coefficient. Indicates the second calibration coefficient. This represents the third calibration coefficient. The first calibration coefficient... Second calibration coefficient The third calibration coefficient needs to be determined through a one-time system calibration experiment. For a fixed probe and a similar solution system, it is a constant. This is the temperature compensation coefficient, in units of... This represents the correction value required for the bubble gas content reading for every 1°C deviation of the temperature from the reference temperature, which is determined through subsequent calibration experiments.

[0066] In the bubble gas content measurement model The item was established at the standard reference temperature The core relationship between the lower equivalent dielectric constant and the gas content of bubbles; It is a linear compensation term used to dynamically compensate for measurement baseline drift caused by water temperature changes in real time. This is crucial for ensuring long-term stability in industrial settings, and is especially important in applications requiring higher precision. It can be replaced by a polynomial compensation form with temperature as the variable.

[0067] S4. Input the characteristic parameters and the solution temperature into the bubble gas content measurement model with the system parameters calibrated, and output the bubble gas content measurement results for online monitoring.

[0068] Example 2

[0069] This embodiment further illustrates the method for measuring the gas content of bubbles in a micro / nano bubble solution proposed in the above embodiments.

[0070] The system parameters described in S3 include a first calibration coefficient, a second calibration coefficient, and a third calibration coefficient. The calibration of the system parameters for the bubble gas content measurement model includes:

[0071] S31. Determine that all are used for the first calibration coefficient. Second calibration coefficient and the third calibration coefficient The first calibration condition, the second calibration condition, and the third calibration condition;

[0072] The first calibration condition is based on the gas content of micro / nano bubbles. Real-time measurement of solution temperature in a solution with a concentration of 0. The calculated equivalent dielectric constant At this point, the solution is clear water.

[0073] The second calibration condition is based on the gas content of micro / nano bubbles. = Real-time measurement of solution temperature in the solution The calculated equivalent dielectric constant Among them, the gas content of micro-nano bubbles = The solution was approximately obtained using an offline method, specifically by measuring the density ρ1 of the gas-containing solution and the density ρ2 of the degassed solution, as well as the gas content of the micro / nano bubbles. =(ρ2-ρ1) / ρ2×100%;

[0074] The third calibration condition is based on the gas content of micro / nano bubbles. = Real-time measurement of solution temperature in the solution The calculated equivalent dielectric constant The method for changing the temperature under calibration conditions is to control the temperature of the solution by cooling or heating it in a water bath, with the aim of keeping the solution unchanged and maintaining the stability of the bubbles.

[0075] S32. Input the first calibration condition, the second calibration condition, and the third calibration condition into the bubble gas content measurement model respectively to obtain the corresponding first bubble gas content measurement model, second bubble gas content measurement model, and third bubble gas content measurement model; the first bubble gas content measurement model is used for benchmark measurement, the second bubble gas content measurement model is used for bubble gas content calibration, and the third bubble gas content measurement model is used for temperature coefficient calibration;

[0076] The expression for the first bubble gas content measurement model is as follows:

[0077]

[0078] The expression for the second bubble gas content measurement model is as follows:

[0079]

[0080] The expression for the third bubble gas content measurement model is as follows:

[0081] .

[0082] S33. Simplify the first bubble gas content measurement model and the second bubble gas content measurement model, and combine them with the third bubble gas content measurement model to obtain a ternary equation system;

[0083] In S33, the first bubble gas content measurement model is simplified as follows:

[0084]

[0085] Further simplification:

[0086] ;

[0087] The second bubble gas content measurement model is simplified as follows:

[0088]

[0089] Combining the simplified formulas from the first and second bubble gas content measurement models with the third bubble gas content measurement model yields the following ternary equation system:

[0090] .

[0091] S34. Perform the first calibration coefficients on the ternary equation system. Second calibration coefficient and the third calibration coefficient Solving for the first calibration coefficient yields the calibrated first calibration coefficient. Second calibration coefficient and the third calibration coefficient .

[0092] The output, used for online monitoring, includes the bubble gas content measurement results, including:

[0093] Construct a dynamic curve of the bubble gas content measurement result changing over time, i.e. The dynamic curve is defined by the following axis: the horizontal axis represents the operating time t of the bubble generator. This operating time parameter can be replaced by other easily controllable physical quantities, such as the generator's operating current or the opening of the inlet valve, as long as a correspondence between these parameters and the change in the gas content of the solution can be established. The vertical axis represents the bubble gas content measurement result, specifically the gas content of micro / nano bubbles. The dynamic curve is used to monitor the gas content measurement results of the bubbles online.

[0094] The method for measuring the gas content of bubbles in micro / nano bubble solutions proposed in this embodiment has the following advantages:

[0095] First, it significantly improves the measurement accuracy and stability in industrial environments. By introducing a dedicated real-time temperature compensation algorithm, it effectively overcomes the most significant environmental interference on-site, ensuring that the TDR technology maintains a stable measurement accuracy of bubble gas content within ±3% under variable temperature conditions.

[0096] Secondly, the simplified bubble gas content measurement model avoids the need for online measurement of complex physicochemical parameters. The system parameters of the bubble gas content measurement model can be calibrated once and used for a long time, which greatly reduces the complexity of operation and maintenance of the bubble gas content measurement method and is more suitable for industrial sites.

[0097] Thirdly, it achieves intuitive visualization and convenient verification of the dynamic process of bubble gas content by synchronously controlling and monitoring the operating time of the bubble generator, thus constructing... The -t dynamic curve provides an intuitive and powerful tool for evaluating the performance of bubble generators and verifying the bubble content measurement results.

[0098] Fourth, it provides a simple interface for industrial automation control, and outputs real-time data. Values ​​and established The -t correlation dynamic curve provides a direct basis for realizing simple automatic control based on timing or threshold, and promotes the automation level of micro-nano bubble technology.

[0099] This embodiment also demonstrates dynamic application and verification based on the operating time of the bubble generator. To intuitively verify the testing performance of the proposed method for measuring the gas content of bubbles in micro / nano bubble solutions and to achieve simple control, the specific application is as follows:

[0100] Dynamic curve generation: In a solution with an initial bubble content of zero, the bubble generator is started and timer t is initiated; then steps S1-S4 are executed, and the gas content of micro / nano bubbles is plotted. The dynamic curve showing the change with the operating time t of the bubble generator can be found in [reference]. Figure 2 This dynamic curve can directly reflect the rate of bubble formation, the system's response speed, and the final stable value.

[0101] Performance verification: through analysis The characteristics of the -t curve, such as the rising slope and stabilization time, can be used to evaluate the efficiency of the bubble generator and the dynamic tracking performance of the method of the present invention on the gas content of the bubbles.

[0102] Simplified process control: based on Figure 2 Obtained The -t relationship, in practical applications, can be used to approximately achieve the expected target gas content range by setting a fixed operating time t for the bubble generator, thus realizing a simple open-loop or semi-closed-loop control that meets the needs of most industrial scenarios.

[0103] Example 3

[0104] See Figure 3 and Figure 4 This embodiment proposes a system for measuring the gas content of bubbles in micro / nano bubble solutions, comprising:

[0105] A bubble generating module is used to generate bubbles in the test solution to form a micro-nano bubble solution; the bubble generating module is a bubble generator 11, and the power supply or gas path of the bubble generator 11 is controlled by a signal processing module.

[0106] A temperature acquisition module is used to acquire the solution temperature of the micro-nano bubble solution; the temperature acquisition module is a temperature sensor 21; the temperature sensor 21 is installed close to the probe of the measurement host.

[0107] A measurement module is used to acquire time-domain reflectance waveform signals. The measurement module includes a TRD device 31, a coaxial cable 32, and a dedicated TDR probe 33. The TRD device 31 includes a pulse generator 311 and a reflection collector 312, which are used to generate electromagnetic step pulses and simultaneously acquire time-domain reflectance waveform signals at high speed. Specifically, the pulse generator 311 continuously generates high-frequency, fast-edge electromagnetic step pulse signals, which are transmitted to the TDR probe 33 inserted into the micro / nano bubble solution via the coaxial cable 32. When an impedance mismatch occurs at the interface between the electromagnetic pulse and the gas-liquid two-phase medium, a corresponding reflected pulse is generated and propagates back along the original path. The reflection collector 312 simultaneously captures, samples, and quantizes the returned reflected pulse at high speed, recording the amplitude change of the pulse on the transmission time axis as a continuous time-domain reflectance waveform signal, thereby completing the complete acquisition of the time-domain reflectance waveform signal of the micro / nano bubble solution. The dedicated TDR probe 33 is a three-needle probe. The three-needle probe is made of stainless steel and coated with an anti-corrosion coating, which can enhance corrosion resistance and extend service life. The length of the three-needle probe can be selected according to the depth of the test water. The three-needle probe is directly inserted into the micro-nano bubble water to monitor the change of gas content in the micro-nano bubble water in real time. The three-needle probe adopts a corrosion-resistant, low-flow-resistance slender structure to minimize disturbance to the flow field. The three-needle probe is connected to the TDR device 31 through a coaxial cable 32.

[0108] The signal processing module is used to extract characteristic parameters of the micro / nano bubble solution based on the time-domain reflection waveform signal, construct a bubble gas content measurement model, calibrate the system parameters of the bubble gas content measurement model to obtain a calibrated bubble gas content measurement model, input the characteristic parameters and the solution temperature into the bubble gas content measurement model, and output the bubble gas content measurement result from the bubble gas content measurement model. The signal processing module is an embedded computer or a processor 41 integrated into the host computer. Its core is a dedicated algorithm program that stores and runs the bubble gas content measurement method in the micro / nano bubble solution proposed in the above embodiments, including: a reflection waveform analysis algorithm, a characteristic parameter extraction algorithm, a core inversion model algorithm, and a temperature compensation algorithm. The processor 41 is also connected to a display and a standard industrial communication interface, displaying the bubble gas content measurement result on the display and transmitting it to the upper control system through the standard industrial communication interface.

[0109] In this embodiment, the time-domain reflectance waveform signal and the solution temperature of the micro / nano bubble solution are first acquired synchronously. Then, the solution temperature is used as the core input variable to introduce the bubble gas content measurement model. Based on the time-domain reflectance waveform signal, the characteristic parameters of the micro / nano bubble solution are extracted, and the bubble gas content measurement model is constructed. The system parameters of the bubble gas content measurement model are calibrated, and the bubble gas content measurement model with calibrated system parameters can be used, simplifying the requirement for measuring complex physicochemical parameters. Furthermore, the characteristic parameters and the solution temperature are used as the core input to the calibrated bubble gas content measurement model, and the bubble gas content measurement results for online monitoring are output. This avoids the interference of water temperature fluctuations on the time-domain reflectance waveform signal from the data acquisition source, effectively avoids the measurement value drift caused by temperature influence, improves the measurement accuracy and stability of bubble gas content in micro / nano bubble solution, and realizes online monitoring of bubble gas content.

[0110] Obviously, the above embodiments of the present invention are merely examples for clearly illustrating the present invention, and are not intended to limit the implementation of the present invention. Those skilled in the art can make other variations or modifications based on the above description. It is neither necessary nor possible to exhaustively describe all embodiments here. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the scope of protection of the claims of the present invention.

Claims

1. A method for measuring the gas content of bubbles in a micro / nano bubble solution, characterized in that, Includes the following steps: S1. Acquire time-domain reflectance waveform signals and solution temperature of micro / nano bubble solution; S2. Based on the time-domain reflectance waveform signal, extract characteristic parameters of the micro / nano bubble solution; the extraction of characteristic parameters of the micro / nano bubble solution based on the time-domain reflectance waveform signal includes: S21. Determine the inflection point of the incident step front and the starting jump point of the first far-end reflected echo of the time-domain reflected waveform signal; S22. Read the abscissa t1 of the inflection point of the incident step front and the abscissa t2 of the starting jump point of the far-end reflected echo, and calculate the propagation time Δt=t2-t1 of the electromagnetic wave in the sensitive section of the probe based on the abscissa t1 of the inflection point of the incident step front and the abscissa t2 of the starting jump point of the far-end reflected echo. S23. Based on the propagation time Δt, the equivalent dielectric constant of the micro / nano bubble solution is calculated. The equivalent dielectric constant As the feature parameter; S3. Construct a bubble gas content measurement model, calibrate the system parameters of the bubble gas content measurement model, and obtain a bubble gas content measurement model with calibrated system parameters; the expression for constructing the bubble gas content measurement model is as follows: in, This represents the calculated gas content of micro / nano bubbles. Indicates at standard reference temperature The dielectric constant of pure water, where T represents the solution temperature measured in real time. Indicates the first calibration coefficient. Indicates the second calibration coefficient. Indicates the third calibration coefficient; The system parameters include a first calibration coefficient, a second calibration coefficient, and a third calibration coefficient. The calibration of the system parameters for the bubble gas content measurement model includes: S31. Determine that all are used for the first calibration coefficient. Second calibration coefficient and the third calibration coefficient The first calibration condition, the second calibration condition, and the third calibration condition; S32. Input the first calibration condition, the second calibration condition, and the third calibration condition into the bubble gas content measurement model respectively to obtain the corresponding first bubble gas content measurement model, second bubble gas content measurement model, and third bubble gas content measurement model; S33. Simplify the first bubble gas content measurement model and the second bubble gas content measurement model, and combine them with the third bubble gas content measurement model to obtain a ternary equation system; S34. Perform the first calibration coefficients on the ternary equation system. Second calibration coefficient and the third calibration coefficient Solving for the first calibration coefficient yields the calibrated first calibration coefficient. Second calibration coefficient and the third calibration coefficient ; S4. Input the characteristic parameters and the solution temperature into the bubble gas content measurement model with the system parameters calibrated, and output the bubble gas content measurement results for online monitoring.

2. The method for measuring the gas content of bubbles in a micro / nano bubble solution according to claim 1, characterized in that, The equivalent dielectric constant of the micro / nano bubble solution is calculated based on the propagation time Δt. as follows: in, Represents the speed of light. This indicates the length of the probe's sensitive section.

3. The method for measuring the gas content of bubbles in a micro / nano bubble solution according to claim 1, characterized in that, The first calibration condition is based on the gas content of micro / nano bubbles. Real-time measurement of solution temperature in a solution with a concentration of 0. The calculated equivalent dielectric constant The second calibration condition is based on the gas content of micro / nano bubbles. = Real-time measurement of solution temperature in the solution The calculated equivalent dielectric constant The third calibration condition is based on the gas content of micro / nano bubbles. = Real-time measurement of solution temperature in the solution The calculated equivalent dielectric constant .

4. The method for measuring the gas content of bubbles in a micro / nano bubble solution according to claim 3, characterized in that, The expression for the first bubble gas content measurement model is as follows: The expression for the second bubble gas content measurement model is as follows: The expression for the third bubble gas content measurement model is as follows: 。 5. The method for measuring the gas content of bubbles in a micro / nano bubble solution according to claim 4, characterized in that, The first bubble gas content measurement model, the second bubble gas content measurement model, and the third bubble gas content measurement model are simplified and combined to obtain the following ternary equation system: 。 6. The method for measuring the gas content of bubbles in a micro / nano bubble solution according to any one of claims 1-5, characterized in that, The output, used for online monitoring, includes the bubble gas content measurement results, including: A dynamic curve is constructed to show the change of the bubble gas content measurement result over time. The horizontal axis of the dynamic curve represents the operating time of the bubble generator, and the vertical axis represents the bubble gas content measurement result. The dynamic curve is used to monitor the bubble gas content measurement result online.

7. A system for measuring the gas content of bubbles in a micro / nano bubble solution, wherein the system is implemented using the method for measuring the gas content of bubbles in a micro / nano bubble solution as described in any one of claims 1-6, characterized in that, include: A bubble generating module is used to generate bubbles in the test solution to form a micro / nano bubble solution; Temperature acquisition module, used to acquire the solution temperature of micro-nano bubble solution; The measurement module is used to acquire time-domain reflection waveform signals; The signal processing module is used to extract characteristic parameters of the micro / nano bubble solution based on the time-domain reflection waveform signal, construct a bubble gas content measurement model, calibrate the system parameters of the bubble gas content measurement model to obtain a bubble gas content measurement model with calibrated system parameters, input the characteristic parameters and the solution temperature into the bubble gas content measurement model, and output the bubble gas content measurement result from the bubble gas content measurement model.

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