Ship wave maximum wave height correction method and system based on residual diagnosis

Abstract

The present application relates to a kind of ship wave maximum wave height correction method and system based on residual diagnosis, wherein the method comprises: obtaining the ship parameters corresponding to target ship wave event, navigation parameter, channel parameter and measuring point parameter;Select the initial ship wave maximum wave height estimate value calculated by classic empirical formula;Obtain the measured ship wave maximum wave height, and construct residual deviation coefficient according to it;According to the formation, propagation, deformation and channel section constraint characteristics of ship wave, determine the candidate correction parameter, and the repeatability of candidate correction parameter is judged and residual deviation diagnosis;Screen the main correction parameter that is not fully characterized by classic empirical formula and has stable correlation with residual deviation coefficient;According to the main correction parameter, construct posterior correction coefficient, and correct the initial ship wave maximum wave height estimate value, obtain the corrected ship wave maximum wave height.The present application can improve the accuracy and stability of ship wave maximum wave height calculation under complex navigation scene.

Description

Technical Field

[0001] This invention relates to the field of hydrodynamic calculation technology for traveling waves of inland waterway vessels, and more specifically, to a method and system for correcting the maximum wave height of traveling waves based on residual diagnosis. Background Technology

[0002] In inland waterways, estuaries, and nearshore waters, the ship waves generated by navigation exert a dynamic effect on bank protection structures. The maximum wave height characterizes the intensity of the ship's hydrodynamic effect and is one of the key parameters for waterway engineering design, bank slope protection, and ship navigation safety assessment. In engineering practice, formulas such as the PIANC formula and the Blaauw formula are often used to estimate the maximum wave height. These formulas are simple in form and easy to calculate, making them suitable for rapid assessment in engineering planning and design.

[0003] However, the aforementioned calculation formulas are typically based on flume tests or measured data from specific waterways, and their applicability is affected by factors such as channel cross-section, water depth, vessel type, and vessel speed. Different empirical formulas do not consistently consider and characterize factors such as vessel dimensions, navigation conditions, water depth, measuring point location, and channel cross-section constraints; some formulas even consider channel cross-section coefficients or channel morphology parameters. Due to the complexity of inland waterway navigation scenarios and the dynamic nature of channel conditions, empirical formulas still face challenges in engineering practice, including low accuracy, limited adaptability, and insufficient interpretability of results.

[0004] While coefficient refitting, adding input variables, or using machine learning models can improve the accuracy of calculating the maximum wave height of ship waves to some extent, these techniques typically rely on large datasets. The potential correlations or collinearity among feature variables can lead to insufficient model interpretability, poor parameter stability, and low generalization ability. Existing empirical formulas for the maximum wave height of ship waves are simple to calculate, but their feature parameters and coefficients are mostly derived from measured data under specific experimental conditions or in limited waterways. When applied to different navigable waterways, factors such as channel cross-section, vessel type, and water depth conditions affect the accuracy and stability of the wave height calculation. Summary of the Invention

[0005] The technical problem to be solved by this invention is to provide a method and system for correcting the maximum wave height of ship waves based on residual diagnosis. This method solves the problem of effectively correcting the traditional empirical calculation formula for ship wave height, reduces the systematic deviation of the formula, improves the accuracy and stability of the calculation results of the maximum wave height of ship waves, and enhances the applicability to complex navigation scenarios. It realizes accurate and stable calculation of the maximum wave height of ship waves in complex navigation scenarios.

[0006] The technical solution adopted by this invention to solve its technical problem is: to construct a method for correcting the maximum wave height of a ship's sailing wave based on residual diagnosis, comprising the following steps: S1. Obtain the ship parameters, navigation parameters, channel parameters, and measurement point parameters corresponding to the target ship's traveling wave event; S2. Select the classical empirical formula for calculating the maximum wave height of the ship's traveling wave, and calculate the initial estimate of the maximum wave height of the ship's traveling wave based on the ship parameters, navigation parameters, channel parameters and measuring point parameters in step S1. S3. Obtain the measured maximum wave height of the ship's traveling wave corresponding to the target ship's traveling wave event, and construct the residual deviation coefficient based on the measured maximum wave height of the ship's traveling wave and the initial estimated maximum wave height of the ship's traveling wave. S4. Based on the characteristics of ship wave formation, propagation, deformation and channel cross-section constraints, determine candidate correction parameters, and combine the variables already included in the classical empirical calculation formula in step S2 to perform repeatability judgment and residual deviation diagnosis on the candidate correction parameters. S5. Select the main correction parameters from the candidate correction parameters that are not fully represented by classical empirical calculation formulas and have a stable correlation with the residual deviation coefficient; S6. Construct posterior correction coefficients based on the main correction parameters, and use the posterior correction coefficients to correct the initial estimate of the maximum wave height of the ship's sailing wave, thereby obtaining the corrected maximum wave height of the ship's sailing wave.

[0007] According to the above scheme, in step S1, the ship parameters include ship length, ship width, draft, displacement, and midship cross-sectional area; the navigation parameters include ship speed, course, and ship's navigation position relative to the channel cross-section; the channel parameters include channel depth, channel width, cross-sectional area, cross-sectional shape, and bank slope conditions; and the measuring point parameters include the distance from the ship to the measuring point, the distance from the ship to the shoreline, and the local water depth at the measuring point.

[0008] According to the above scheme, in step S2, the classic empirical formulas include, but are not limited to, the PIANC formula and the Blaauw formula.

[0009] According to the above scheme, in step S3, the residual deviation coefficient is constructed according to the following formula:

[0010] in, C The residual deviation coefficient, To measure the maximum wave height of the ship's traveling waves, This is the estimated maximum wave height of the initial ship's traveling wave obtained from the classical empirical formula.

[0011] According to the above scheme, in step S4, the candidate correction parameters include overall blockage ratio, local blockage ratio, cross-sectional area distribution coefficient, eccentricity coefficient, measuring point distance, local water depth, relative water depth and ship relative channel position parameters. Repeatability judgment includes: determining whether the candidate correction parameter has been included in the calculation as an input variable, coefficient variable or equivalent physical quantity of the classical empirical formula; when the candidate correction parameter has been fully characterized by the classical empirical formula, it is not used as the main correction parameter; when the candidate correction parameter has been partially involved by the classical empirical formula but the residual deviation diagnosis shows that it still has a stable relationship with the residual deviation coefficient, it is used as an optional correction parameter. Residual deviation diagnosis includes correlation analysis, group median analysis, measurement point scale statistics, waterway cross-section scale statistics, measurement batch scale statistics, and cross-validation analysis.

[0012] According to the above scheme, in step S6, the posterior correction coefficient is a function of the principal correction parameter:

[0013] in, These are the posterior correction coefficients. X Main correction parameter; The corrected maximum wave height is calculated using the following formula:

[0014] in, This is the corrected maximum wave height of the ship's sailing waves.

[0015] According to the above scheme, in step S6, when the main correction parameter is the overall blocking ratio... n When the posterior correction coefficient is in the form of a power function:

[0016] in, a and b These are correction parameters obtained by fitting historical measured data.

[0017] According to the above scheme, the overall blocking ratio n It is the ratio between the cross-sectional area of ​​the waterway and the cross-sectional area of ​​the ship amidships, or the equivalent blockage ratio that can characterize the relative constraint relationship between the ship's dimensions and the cross-sectional area of ​​the waterway.

[0018] According to the above scheme, in step S6, after obtaining the corrected maximum wave height of the ship's sailing wave, the applicability of the correction result is judged based on the root mean square error, mean absolute error, deviation value, ratio of estimated value to measured value, sample size, range of main correction parameters, and channel cross-section conditions before and after correction. When the operating condition to be calculated exceeds the effective value range of the main correction parameter, or the number of samples is lower than the preset threshold, or the error is not reduced after correction, an applicability prompt or verification prompt will be output.

[0019] This invention also provides a ship's traveling wave maximum wave height correction system based on residual diagnosis, comprising: The data acquisition module is used to acquire ship parameters, navigation parameters, waterway parameters, measuring point parameters, and the measured maximum wave height of the ship's traveling waves; The initial estimation module is used to calculate the initial estimate of the maximum wave height of the ship's traveling wave based on classical empirical formulas. The residual deviation construction module is used to construct residual deviation coefficients based on the measured maximum wave height of the ship's traveling wave and the initial estimated maximum wave height of the ship's traveling wave. The parameter diagnosis module is used to determine candidate correction parameters and perform repeatability judgment and residual deviation diagnosis on the candidate correction parameters. The correction coefficient construction module is used to construct posterior correction coefficients based on the main correction parameters obtained from the screening. The wave height correction module is used to correct the initial estimate of the maximum wave height of the ship's sailing wave based on the posterior correction coefficient, so as to obtain the corrected maximum wave height of the ship's sailing wave. The applicability judgment module is used to judge the applicability of the correction results and output prompt information based on the error change before and after correction, the ratio of estimated value to measured value, the number of samples, the range of values ​​of the main correction parameter and the characteristics of the waterway section.

[0020] The method and system for correcting the maximum wave height of ship traveling waves based on residual diagnosis, as described in this invention, have the following beneficial effects: 1. This invention diagnoses the residual deviation between the measured maximum wave height of a ship's traveling wave and the estimated value of an existing empirical formula, identifies the systematic estimation of classical empirical formulas under specific waterway conditions, and screens correction parameters that are not fully represented by classical empirical formulas and have a stable correlation with the residual deviation. It then constructs posterior correction coefficients to correct the initial wave height estimate, thereby improving the accuracy and stability of the calculation results of the maximum wave height of a ship's traveling wave. 2. This invention does not require the creation of a new ship wave height prediction model, nor does it rely on large-scale physical model tests or numerical simulations. It can achieve rapid correction based on existing empirical calculation formulas and measured data, reducing the cost of creating a new model and calibrating parameters. 3. In the process of correcting parameter screening, this invention considers the existing variable structure of empirical calculation formulas, which can avoid problems such as repeated correction, variable collinearity or unclear correction logic. Compared with directly adding variables or black box models, it has better engineering interpretability and scenario applicability. 4. The present invention can also combine the error changes before and after correction, the number of samples, the range of correction parameters and the characteristics of the channel cross section to judge the applicability of the correction results, so as to avoid blindly adopting the correction results under working conditions that exceed the applicable range, and improve the reliability of ship wave height estimation in channel engineering design, bank slope protection and navigation safety assessment. Attached Figure Description

[0021] The present invention will be further described below with reference to the accompanying drawings and embodiments. In the accompanying drawings: Figure 1 This is a flowchart of the maximum wave height correction method for ship sailing waves based on residual diagnosis according to the present invention; Figure 2 This is a structural diagram of the ship's maximum wave height correction system based on residual diagnosis according to the present invention; Figure 3 This is a logic block diagram of the first embodiment of the ship's maximum wave height correction method based on residual diagnosis according to the present invention; Figure 4 In the preferred embodiment of the present invention, the overall blocking ratio is... n Flowchart as the main correction parameter; Figure 5 In a preferred embodiment of the present invention, the improved PIANC formula is used as the classic empirical calculation formula, and the overall blocking ratio is adopted. n A schematic diagram illustrating the error improvement results during posterior correction. Detailed Implementation

[0022] To provide a clearer understanding of the technical features, objectives, and effects of the present invention, specific embodiments of the present invention will now be described in detail with reference to the accompanying drawings.

[0023] like Figure 1-5 As shown, the maximum wave height correction method for ship traveling waves based on residual diagnosis of the present invention includes the following steps: S1. Obtain the ship parameters, navigation parameters, channel parameters, and measurement point parameters corresponding to the target ship's traveling wave event; Ship parameters include at least one of the following: ship length, ship width, draft, displacement, and midship cross-sectional area; navigation parameters include at least one of the following: ship speed, course, and ship's navigation position relative to the channel cross-section; channel parameters include at least one of the following: channel depth, channel width, cross-sectional area, cross-sectional shape, and bank slope conditions; measuring point parameters include at least one of the following: distance from ship to measuring point, distance from ship to shoreline, and local water depth at measuring point.

[0024] S2. Select a classical empirical formula for calculating the maximum wave height of ship waves, and calculate the initial estimate of the maximum wave height of ship waves based on the ship parameters, navigation parameters, channel parameters and measuring point parameters in step S1; the classical empirical formula includes the PIANC formula, the Blaauw formula or other empirical formulas that can be used to estimate the maximum wave height of ship waves.

[0025] S3. Obtain the measured maximum wave height of the ship's traveling wave corresponding to the target ship's traveling wave event, and construct the residual deviation coefficient based on the measured maximum wave height and the initial estimated maximum wave height of the ship's traveling wave.

[0026] The residual deviation coefficient is constructed according to the following formula:

[0027] in, C The residual deviation coefficient, To measure the maximum wave height of the ship's traveling waves, This is the estimated maximum wave height of the initial ship's traveling wave obtained from the classical empirical formula.

[0028] S4. Based on the characteristics of ship wave formation, propagation, deformation and channel cross-section constraints, determine candidate correction parameters, and combine the variables already included in the classical empirical calculation formula in step S2 to perform repeatability judgment and residual deviation diagnosis on the candidate correction parameters.

[0029] Candidate correction parameters include one or more of the following: overall blockage ratio, local blockage ratio, cross-sectional area distribution coefficient, eccentricity coefficient, measuring point distance, local water depth, relative water depth, and vessel relative channel position parameters. Repeatability assessment includes: determining whether the candidate correction parameter has already been included in the calculation as an input variable, coefficient variable, or equivalent physical quantity in the classical empirical formula; when the candidate correction parameter has been fully characterized by the classical empirical formula, it is not used as the primary correction parameter; when the candidate correction parameter has been partially involved in the classical empirical formula but the residual deviation diagnosis shows that it still has a stable relationship with the residual deviation coefficient, it is used as an optional correction parameter. Residual deviation diagnosis includes correlation analysis, grouped median analysis, measuring point scale statistics, channel cross-sectional scale statistics, measurement batch scale statistics, and cross-validation analysis.

[0030] S5. Select the main correction parameters from the candidate correction parameters that are not fully represented by the classical empirical calculation formula and have a stable correlation with the residual deviation coefficient.

[0031] S6. Construct posterior correction coefficients based on the principal correction parameters, and use the posterior correction coefficients to correct the initial estimate of the maximum wave height of the ship's sailing wave, thus obtaining the corrected maximum wave height of the ship's sailing wave.

[0032] The posterior correction coefficients are functions of the principal correction parameters.

[0033] in, These are the posterior correction coefficients. X Main correction parameter; The corrected maximum wave height is calculated using the following formula:

[0034] in, This is the corrected maximum wave height of the ship's sailing waves.

[0035] When the main correction parameter is the overall blocking ratio n When the posterior correction coefficient is in the form of a power function:

[0036] in, a and b These are correction parameters obtained by fitting historical measured data. Overall blocking ratio. n It is the ratio between the cross-sectional area of ​​the waterway and the cross-sectional area of ​​the ship amidships, or the equivalent blockage ratio that can characterize the relative constraint relationship between the ship's dimensions and the cross-sectional area of ​​the waterway.

[0037] After obtaining the corrected maximum wave height, the applicability of the correction result is further judged based on one or more of the following: root mean square error before and after correction, mean absolute error, deviation value, ratio of estimated value to measured value, sample size, range of main correction parameters, and channel cross-section conditions. If the calculation condition exceeds the valid range of the main correction parameters, the sample size is lower than a preset threshold, or the error is not reduced after correction, an applicability prompt or verification prompt is output.

[0038] In a preferred embodiment of the present invention, firstly, basic data such as the dimensions, speed, channel depth, cross-sectional shape, and location of measuring points of the navigable vessel are obtained; secondly, a classic empirical formula for the maximum wave height of ship waves applicable to the target waterway or navigation scenario is selected to calculate an uncorrected initial wave height estimate; then, based on historical measured wave heights or on-site monitored wave height data, a residual deviation coefficient between the measured wave height and the initial estimated wave height is constructed to characterize the degree of systematic overestimation or underestimation of the classic empirical formula under the current channel conditions.

[0039] In a preferred embodiment of this invention, candidate correction parameters are selected for factors that may affect the maximum wave height of ship sails, such as channel cross-section constraints, ship relative dimensions, measuring point layout, and local water depth, but which are not explicitly expressed or fully characterized by basic empirical formulas. Combining the characteristic variables and formula structure already included in classical empirical formulas, a diagnostic analysis is performed on the correlation between each candidate correction parameter and the residual deviation coefficient, screening out the principal correction parameters that are not included in the classical calculation formula and have a stable correlation with the residual deviation. A posterior correction function is constructed based on the screened principal correction parameters, generating correction coefficients to correct the calculation results of the classical empirical formulas. These correction coefficients are then combined with the initial wave height estimate to obtain the corrected maximum wave height of ship sails. Finally, considering the change in error before and after correction, the ratio of the estimated value to the measured value, the sample size, the range of correction parameter values, and channel cross-section conditions, the applicability of the correction results is assessed, and the corrected maximum wave height of ship sails and corresponding applicability indicators are output.

[0040] In a preferred embodiment of the present invention, the candidate correction parameters are determined based on the variable composition of the classical empirical formula and the diagnostic results of the residual deviation. When the classical empirical formula fails to adequately characterize the influence of channel section constraints, and a stable relationship is observed between the overall blockage ratio and the residual deviation coefficient, the overall blockage ratio is selected as the primary correction parameter. A power-law posterior correction coefficient is then constructed to multiply and correct the wave height estimation results of the classical empirical formula. This process can diagnose and correct the systematic deviations of existing empirical formulas without building a new ship wave maximum wave height prediction model, thereby improving the accuracy, stability, and engineering applicability of the ship wave maximum wave height estimation results.

[0041] This invention also provides a ship wave maximum height correction system based on residual diagnosis, comprising: a data acquisition module for acquiring ship parameters, navigation parameters, channel parameters, measuring point parameters, and measured ship wave maximum height; an initial estimation module for calculating an initial estimated value of the ship wave maximum height using classical empirical formulas; a residual deviation construction module for constructing residual deviation coefficients based on the measured ship wave maximum height and the initial estimated value of the ship wave maximum height; a parameter diagnosis module for determining candidate correction parameters and performing repeatability judgment and residual deviation diagnosis on the candidate correction parameters; a correction coefficient construction module for constructing posterior correction coefficients based on the selected master correction parameters; a wave height correction module for correcting the initial estimated value of the ship wave maximum height based on the posterior correction coefficients to obtain the corrected ship wave maximum height; and an applicability judgment module for judging the applicability of the correction result and outputting prompt information based on the error change before and after correction, the ratio of the estimated value to the measured value, the sample size, the range of the master correction parameter values, and the channel cross-section characteristics.

[0042] The embodiments of the present invention have been described above with reference to the accompanying drawings. However, the present invention is not limited to the specific embodiments described above. The specific embodiments described above are merely illustrative and not restrictive. Those skilled in the art can make many other forms under the guidance of the present invention without departing from the spirit and scope of the claims. All of these forms are within the protection scope of the present invention.

Claims

1. A method for correcting the maximum wave height of a ship's sailing wave based on residual diagnosis, characterized in that, Includes the following steps: S1. Obtain the ship parameters, navigation parameters, channel parameters, and measurement point parameters corresponding to the target ship's traveling wave event; S2. Select the classical empirical formula for calculating the maximum wave height of the ship's traveling wave, and calculate the initial estimate of the maximum wave height of the ship's traveling wave based on the ship parameters, navigation parameters, channel parameters and measuring point parameters in step S1. S3. Obtain the measured maximum wave height of the ship's traveling wave corresponding to the target ship's traveling wave event, and construct the residual deviation coefficient based on the measured maximum wave height of the ship's traveling wave and the initial estimated maximum wave height of the ship's traveling wave. S4. Based on the characteristics of ship wave formation, propagation, deformation and channel cross-section constraints, determine candidate correction parameters, and combine the variables already included in the classical empirical calculation formula in step S2 to perform repeatability judgment and residual deviation diagnosis on the candidate correction parameters. S5. Select the main correction parameters from the candidate correction parameters that are not fully represented by classical empirical calculation formulas and have a stable correlation with the residual deviation coefficient; S6. Construct posterior correction coefficients based on the main correction parameters, and use the posterior correction coefficients to correct the initial estimate of the maximum wave height of the ship's sailing wave, thereby obtaining the corrected maximum wave height of the ship's sailing wave.

2. The method for correcting the maximum wave height of a ship's traveling wave based on residual diagnosis according to claim 1, characterized in that, In step S1, the ship parameters include ship length, ship width, draft, displacement, and midship cross-sectional area; the navigation parameters include ship speed, course, and ship's position relative to the channel cross-section; the channel parameters include channel depth, channel width, cross-sectional area, cross-sectional shape, and bank slope conditions; and the measuring point parameters include the distance from the ship to the measuring point, the distance from the ship to the shoreline, and the local water depth at the measuring point.

3. The method for correcting the maximum wave height of a ship's traveling wave based on residual diagnosis according to claim 2, characterized in that, In step S2, the classic empirical formulas include the PIANC formula and the Blaauw formula.

4. The method for correcting the maximum wave height of a ship's traveling wave based on residual diagnosis according to claim 3, characterized in that, In step S3, the residual deviation coefficient is constructed according to the following formula: in, C The residual deviation coefficient, To measure the maximum wave height of the ship's traveling waves, This is the estimated maximum wave height of the initial ship's traveling wave obtained from the classical empirical formula.

5. The method for correcting the maximum wave height of a ship's traveling wave based on residual diagnosis according to claim 4, characterized in that, In step S4, the candidate correction parameters include overall blockage ratio, local blockage ratio, cross-sectional area distribution coefficient, eccentricity coefficient, measuring point distance, local water depth, relative water depth, and ship relative channel position parameters. Repeatability judgment includes: determining whether the candidate correction parameter has been included in the calculation as an input variable, coefficient variable or equivalent physical quantity of the classical empirical formula; when the candidate correction parameter has been fully characterized by the classical empirical formula, it is not used as the main correction parameter; when the candidate correction parameter has been partially involved by the classical empirical formula, but the residual deviation diagnosis shows that it still has a stable relationship with the residual deviation coefficient, it is used as an optional correction parameter. Residual deviation diagnosis includes correlation analysis, group median analysis, measurement point scale statistics, waterway cross-section scale statistics, measurement batch scale statistics, and cross-validation analysis.

6. The method for correcting the maximum wave height of a ship's traveling wave based on residual diagnosis according to claim 5, characterized in that, In step S6, the posterior correction coefficient is a function of the principal correction parameter: in, These are the posterior correction coefficients. X Main correction parameter; The corrected maximum wave height is calculated using the following formula: in, This is the corrected maximum wave height of the ship's sailing waves.

7. The method for correcting the maximum wave height of a ship's sailing wave based on residual diagnosis according to claim 6, characterized in that, In step S6, when the main correction parameter is the overall blocking ratio n When the posterior correction coefficient is in the form of a power function: in, a and b These are correction parameters obtained by fitting historical measured data.

8. The method for correcting the maximum wave height of a ship's traveling wave based on residual diagnosis according to claim 7, characterized in that, The overall blocking ratio n It is the ratio between the cross-sectional area of ​​the waterway and the cross-sectional area of ​​the ship amidships, or the equivalent blockage ratio that can characterize the relative constraint relationship between the ship's dimensions and the cross-sectional area of ​​the waterway.

9. The method for correcting the maximum wave height of a ship's traveling wave based on residual diagnosis according to claim 1, characterized in that, In step S6, after obtaining the corrected maximum wave height of the ship's sailing wave, the applicability of the correction result is judged based on the root mean square error, mean absolute error, deviation value, ratio of estimated value to measured value, sample size, range of main correction parameters, and channel cross-section conditions before and after correction. When the operating condition to be calculated exceeds the effective value range of the main correction parameter, or the number of samples is lower than the preset threshold, or the error is not reduced after correction, an applicability prompt or verification prompt will be output.

10. A ship wave maximum height correction system based on residual diagnosis, characterized in that, include: The data acquisition module is used to acquire ship parameters, navigation parameters, waterway parameters, measuring point parameters, and the measured maximum wave height of the ship's traveling waves; The initial estimation module is used to calculate the initial estimate of the maximum wave height of the ship's traveling wave based on classical empirical formulas. The residual deviation construction module is used to construct residual deviation coefficients based on the measured maximum wave height of the ship's traveling wave and the initial estimated maximum wave height of the ship's traveling wave. The parameter diagnosis module is used to determine candidate correction parameters and perform repeatability judgment and residual deviation diagnosis on the candidate correction parameters. The correction coefficient construction module is used to construct posterior correction coefficients based on the main correction parameters obtained from the screening. The wave height correction module is used to correct the initial estimate of the maximum wave height of the ship's sailing wave based on the posterior correction coefficient, so as to obtain the corrected maximum wave height of the ship's sailing wave. The applicability judgment module is used to judge the applicability of the correction results and output prompt information based on the error change before and after correction, the ratio of estimated value to measured value, the number of samples, the range of values ​​of the main correction parameter and the characteristics of the waterway section.

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