River section form adjustment mode discrimination method and system based on centroid coordinate relative amplitude variation

Abstract

The invention provides a river section form adjustment mode judgment method and system based on centroid coordinate relative amplitude variation, and the method comprises the following steps: 1, calculating centroid horizontal coordinates and centroid vertical coordinates under a flat beach water level based on the fixed section topographic data of a target river reach; 2, calculating the relative amplitude of the centroid horizontal coordinate relative to the flat beach river width and the centroid vertical coordinate relative to the flat beach water depth in each year; and step 3, judging the river section form adjustment mode based on the relative amplitude of the centroid horizontal coordinate relative to the flat beach river width and the centroid vertical coordinate relative to the flat beach water depth. According to the method, the adjustment difference of different river channel section forms can be more effectively identified, and the scientific cognition on the section form adjustment rule is expanded.

Description

Technical Field

[0001] The present invention belongs to the technical field of water conservancy projects and riverbed evolution, and particularly relates to a method and system for distinguishing river section morphology adjustment modes based on relative amplitude variation of centroid coordinates. Background Art

[0002] After being disturbed, a river will undergo an automatic adjustment process from a non-equilibrium state to an equilibrium state. The evolution of the river channel during this process can be described by an adjustment model. Traditional analysis methods for river channel cross-sectional morphological adjustment mainly rely on single indicators such as water depth, river width, gradient, cross-sectional area, and width-to-depth ratio. These methods have two major limitations: (1) it is difficult to simultaneously characterize the coordinated change characteristics of cross-sectional lateral displacement and vertical scouring and deposition; (2) there is a lack of a unified quantitative judgment standard. Therefore, there is an urgent need for a new method that can quantitatively characterize the multi-dimensional changes in cross-sectional morphology and has clear judgment standards to help identify the differences in the morphological adjustments of different river channel cross-sections and provide theoretical support for river channel management and ecological restoration. Summary of the Invention

[0003] In view of the above technical conditions and limitations, the present invention provides a method for determining the adjustment mode of the cross-section morphology of a river channel based on the relative amplitude variation of the cross-section centroid coordinates.

[0004] In order to solve the above technical problems, the present invention provides the following technical solutions: A method for determining a river channel cross-section morphology adjustment mode based on relative amplitude variation of centroid coordinates comprises the following steps: Step 1. Based on the fixed cross-section topographic data of the target river section, calculate the centroid abscissa and centroid ordinate at the flat water level; Step 2: Calculate the relative change of the centroid abscissa relative to the river width and the centroid ordinate relative to the water depth of the flat beach each year; Step 3: judging the river section morphology adjustment mode based on the relative amplitude of the centroid abscissa relative to the flat river width and the centroid ordinate relative to the flat water depth.

[0005] Furthermore, the step 1 includes: Pingtan water level The water-passing section below is divided into multiple strips according to the measurement nodes of the fixed section; Treat each strip as a rectangular strip; The centroid abscissa and ordinate of the entire water-passing section are calculated based on the centroid abscissa and centroid ordinate of each rectangular strip respectively.

[0006] Furthermore, the centroid abscissa of the entire water-passing section for:

[0007] The centroid ordinate of the entire water-passing section is:

[0008] wherein, is the distance from the center of a single rectangular strip to the origin of the horizontal coordinate, is the area of a single horizontal rectangular strip; is the distance from the center of a single rectangular strip to the origin of the vertical coordinate.

[0009] Further, in the step 2, the relative amplitude of the centroid horizontal coordinate relative to the bankfull river width and the relative amplitude of the centroid vertical coordinate relative to the bankfull water depth are respectively and ; wherein, , is the amplitude of the centroid horizontal coordinate, the amplitude of the centroid vertical coordinate, is the bankfull river width, is the bankfull water depth.

[0010] Further, the bankfull water depth is:

[0011] wherein, is the bankfull river width, is the bankfull water depth, is the bankfull area.

[0012] Further, the relative amplitude of the centroid horizontal coordinate relative to the bankfull river width and the relative amplitude of the centroid vertical coordinate relative to the bankfull water depth are calculated by the following formulas:

[0013]

[0014] wherein, is the relative amplitude of the centroid horizontal coordinate in the nth year, is the relative amplitude of the centroid vertical coordinate in the nth year, is the centroid horizontal coordinate of the entire cross section in the nth year, is the centroid vertical coordinate of the entire cross section in the nth year, is the centroid horizontal coordinate of the entire cross section in the reference year a, is the centroid vertical coordinate of the entire cross section in the reference year a; is the bankfull river width in the reference year a, is the bankfull water depth in the reference year a.

[0015] Further, in the step 3, the river channel cross section form adjustment mode includes: balanced type, overall incision type, overall deposition type, translation incision type, translation deposition type, and translation adjustment type.

[0016] Further, when <5% and <5%, the lateral and longitudinal adjustment of the cross-section morphology is small, the cross-section morphology is stable, and the quasi-equilibrium cross-section morphology adjustment mode is set; when <5% and <-5%, the adjustment of the cross-section morphology is dominated by vertical uniform downcutting, and the overall downcutting type cross-section morphology adjustment mode is set; when <5% and >5%, the adjustment of the cross-section morphology is dominated by vertical uniform deposition, and the overall deposition type cross-section morphology adjustment mode is set; when >5% and <-5%, the adjustment of the cross-section morphology is a synergistic effect of lateral migration and vertical downcutting, and the translation downcutting type cross-section morphology adjustment mode is set; when >5% and >5%, the adjustment of the cross-section morphology is a synergistic effect of lateral migration and vertical deposition, and the translation deposition type cross-section morphology adjustment mode is set; when >5% and <5%, the adjustment of the cross-section morphology is dominated by lateral migration, and the translation adjustment type cross-section morphology adjustment mode is set.

[0017] Further, the reference year is the initial state year before the river is disturbed.

[0018] In another aspect, the application provides a river cross-section morphology adjustment mode discrimination system based on the relative amplitude of the centroid coordinates, comprising: a centroid horizontal and vertical coordinate calculation module, which is used to calculate the centroid horizontal coordinate and the centroid vertical coordinate under the flat water level based on the fixed cross-section topographic data of the target river section; a relative amplitude calculation module, which is used to calculate the relative amplitude of the centroid horizontal coordinate relative to the flat river width and the centroid vertical coordinate relative to the flat water depth each year; a discrimination module, which is used to discriminate the river cross-section morphology adjustment mode based on the relative amplitude of the centroid horizontal coordinate relative to the flat river width and the centroid vertical coordinate relative to the flat water depth.

[0019] Compared with the prior art, the application has the following beneficial effects: The application is based on the relative amplitude of the centroid horizontal and vertical coordinates relative to the width and depth of the flat beach, and according to the change trend and corresponding judgment of the relative amplitude between years, the cross-section adjustment direction is divided into six modes, i.e. quasi-equilibrium type, overall incision type, overall deposition type, translation incision type, translation deposition type and translation adjustment type. The discrimination method can more effectively identify the differences of different river cross-section shape adjustment, and expand the scientific cognition of the cross-section shape adjustment law. BRIEF DESCRIPTION OF DRAWINGS

[0020] In order to more clearly illustrate the technical solutions in the present application or prior art, the following will briefly introduce the drawings needed to be used in the embodiments or prior art description. Obviously, the drawings in the following description are some embodiments of the present application, and other drawings can be obtained by those skilled in the art without creative labor.

[0021] Figure 1 The flowchart for the discrimination method of the river cross-section shape adjustment mode based on the relative amplitude of the cross-section centroid coordinates in the embodiments of the present application is generated.

[0022] Figure 2 The centroid calculation diagram of the cross-section is shown.

[0023] Figure 3 The typical cross-section shape and centroid coordinate change diagram of the Three Gorges Reservoir downstream is shown, (a) is the cross-section shape and centroid coordinate change of Y49, (b) is the cross-section shape and centroid coordinate change of CZ92, (c) is the cross-section shape and centroid coordinate change of CZ44-1, (d) is the cross-section shape and centroid coordinate change of Shi6, and (e) is the cross-section shape and centroid coordinate change of Jing182. DETAILED DESCRIPTION

[0024] In order to make the purpose, technical scheme and advantages of the present application more clear, the technical scheme in the present application will be described clearly and completely in the following with reference to the drawings in the present application. Obviously, the described embodiments are part of the embodiments of the present application, rather than all the embodiments. Based on the embodiments in the present application, all other embodiments obtained by those skilled in the art without creative labor belong to the scope of protection of the present application.

[0025] Embodiment 1 The present application will be further described in the following with reference to the drawings.

[0026] As shown in the drawings, Figure 1 the present application provides a discrimination method of river cross-section shape adjustment mode based on the relative amplitude of the centroid coordinates, which comprises the following steps: Step 1, based on the fixed cross-section topographic data of the target river section, calculating the centroid horizontal coordinate and the centroid vertical coordinate under the flat beach water level ; like Figure 2 As shown in the figure, the coordinate axis is established and the flat water level is The water-passing section below is divided into multiple strips according to the measurement nodes of the fixed section, and each strip can be approximated as a rectangle (the strips at both ends are approximated as triangles).

[0027] The abscissa of the centroid of each rectangular strip is , then the abscissa of the centroid of the entire water-passing section is The calculation formula is as follows:

[0028] Where, is the distance from the center of a single rectangular bar to the starting point of the horizontal axis, is the area of ​​a single horizontal rectangular bar.

[0029] The vertical coordinate of the centroid of each rectangular strip is , then the centroid ordinate of the entire water-passing section is The calculation formula is as follows:

[0030] Where, The distance from the center of a single rectangle to the starting point of the vertical coordinate.

[0031] Step 2: Calculate the horizontal coordinate of the centroid , centroid vertical coordinate Relative width of the river , flat water depth The relative change of , ); Taking the centroid abscissa and centroid ordinate of the cross section in a fixed year (year a) as the benchmark, calculate the difference between the centroid abscissa and centroid ordinate of the cross section in the target year (year n) and the centroid abscissa and centroid ordinate of the cross section in year a, and compare them with the flat river width and flat water depth in year a to obtain the relative variation of the centroid abscissa and centroid ordinate. The formula for calculating the relative variation of the centroid abscissa and centroid ordinate in year n is as follows:

[0032] Where, is the relative variation of the abscissa of the centroid in the nth year, is the relative change of the centroid ordinate in the nth year, is the abscissa of the centroid of the nth year, is the vertical coordinate of the centroid of the nth year, is the width of Pingtan River in year a, is the depth of the flat water in year a, The river is wide and flat. It is a flat beach with deep water. It is a flat beach area.

[0033] Step 3, determine the cross-section morphology adjustment mode: when <5% and <5%, indicating that the horizontal and vertical adjustments of the cross-sectional morphology are small and the cross-sectional morphology is relatively stable, which is defined as a quasi-balanced cross-sectional morphology adjustment mode; when <5% and <-5%, indicating that the cross-sectional morphology adjustment is dominated by vertical uniform downcutting, which is defined as the overall downcutting cross-sectional morphology adjustment mode; when <5% and >5%, indicating that the cross-sectional morphology adjustment is dominated by vertical uniform sedimentation, which is defined as the overall sedimentation-type cross-sectional morphology adjustment mode; when >5% and <-5%, indicating that the adjustment of the cross-section morphology is the synergistic effect of lateral offset and vertical downcutting, which is defined as the translation downcutting cross-section morphology adjustment mode; when >5% and >5%, indicating that the adjustment of the cross-section morphology is the synergistic effect of lateral displacement and vertical sedimentation, which is defined as the translational sedimentation type cross-section morphology adjustment mode; when >5% and <5%, indicating that the adjustment of cross-sectional morphology is dominated by lateral migration, which is defined as the translation adjustment type cross-sectional morphology adjustment mode.

[0034] The specific steps of the embodiment are as follows: Step 1: Select fixed sections downstream of the Three Gorges Reservoir on the Yangtze River. Initially select five sections: Yi49, CZ92, CZ44-1, Shi6 and Jing182, and calculate the centroid abscissa at the flat water level. and the centroid ordinate ; like Figure 2 The coordinate axis is established as shown, and the flat water level The water-passing section below is divided into multiple strips according to the measurement nodes of the fixed section, and each strip can be approximated as a rectangle (the strips at both ends are approximated as triangles).

[0035] The abscissa of the centroid of each rectangular strip is , then the abscissa of the centroid of the entire water-passing section is The calculation formula is as follows:

[0036] Where, The distance from the center of a single rectangular strip to the starting point of the horizontal coordinate is The area of a single horizontal rectangular strip.

[0037] The centroidal longitudinal coordinate of each rectangular strip is The centroidal longitudinal coordinate of the entire cross-section is The calculation formula is as follows:

[0038] In the formula, The distance from the center of a single rectangular strip to the starting point of the longitudinal coordinate.

[0039] Step 2, calculate the centroidal horizontal coordinate , the centroidal longitudinal coordinate The relative amplitude of the relative flat river width , the flat water depth ; , ); Take the centroidal horizontal coordinate and the centroidal longitudinal coordinate of the section in 2003, the starting year of the Three Gorges Reservoir impoundment, as the benchmark. Calculate the difference between the centroidal horizontal coordinate and the centroidal longitudinal coordinate of the section in 2003~2020 and the centroidal horizontal coordinate and the centroidal longitudinal coordinate of the section in 2003, and compare it with the flat river width and the flat water depth in 2003 to obtain the relative amplitude of the centroidal horizontal coordinate and the centroidal longitudinal coordinate, as shown in Figure 3 .

[0040] For the Y49 section, the relative amplitude of the centroidal horizontal coordinate and the centroidal longitudinal coordinate in 2003~2020 is calculated as follows:

[0041]

[0042] For the CZ92 section, the relative amplitude of the centroidal horizontal coordinate and the centroidal longitudinal coordinate in 2003~2020 is calculated as follows:

[0043]

[0044] For the CZ44-1 section, the relative amplitude of the centroidal horizontal coordinate and the centroidal longitudinal coordinate in 2003~2020 is calculated as follows:

[0045]

[0046] For the Shi6 section, the relative amplitude of the centroidal horizontal coordinate and the centroidal longitudinal coordinate in 2003~2020 is calculated as follows:

[0047]

[0048] For the Jing 182 section, the relative amplitude calculation formula of the centroid horizontal coordinate and the centroid vertical coordinate from 2003 to 2020 is as follows:

[0049]

[0050] Step 3, section shape adjustment mode identification: When <5% and <5%, representing small horizontal and vertical adjustment of section shape, the section shape is relatively stable, defined as quasi-equilibrium section shape adjustment mode; When <5% and <-5%, representing vertical uniform downcutting dominated adjustment of section shape, defined as overall downcutting section shape adjustment mode; When <5% and >5%, representing vertical uniform deposition dominated adjustment of section shape, defined as overall deposition section shape adjustment mode; When >5% and <-5%, representing the synergistic effect of horizontal migration and vertical downcutting, defined as translation downcutting section shape adjustment mode; When >5% and >5%, representing the synergistic effect of horizontal migration and vertical deposition, defined as translation deposition section shape adjustment mode; When >5% and <5%, representing horizontal migration dominated adjustment of section shape, defined as translation adjustment section shape adjustment mode.

[0051] For the Y49 section, from 2003 to 2020, <5% and <5%, showing quasi-equilibrium section shape adjustment mode; For the CZ92 section, from 2003 to 2020, <5% and <-5%, showing overall downcutting section shape adjustment mode; For the CZ44-1 section, from 2003 to 2020, >5% and < 5%, showing a translation under-cut cross-section morphology adjustment mode; For the Shi 6 cross-section, between 2003 and 2020, > 5% and > 5%, showing a translation under-cut cross-section morphology adjustment mode; For the Jing 182 cross-section, between 2003 and 2020, > 5% and < 5%, showing a translation under-cut cross-section morphology adjustment mode.

[0052] In this embodiment, the centroid is a basic concept in mechanics (statics) and geometry, referring to the geometric center of a two-dimensional or three-dimensional figure, or the center of mass of an object under uniform density conditions, which is used to represent the center position of the water cross-section in this invention. In the field of engineering (such as structural mechanics, materials mechanics), the centroid is often used to calculate the cross-sectional moment of inertia, analyze force balance, etc. Currently, the centroid is less used in the field of water conservancy and riverbed evolution, the main reason being that the cross-section morphology of the river is the result of the interaction and mutual adaptation of water and sediment conditions and riverbed boundaries, i.e. the cross-section morphology represents the adaptability of hydrodynamic conditions and river channel. In previous studies, the relationship between the centroid swing and the water flow dynamic axis swing, and the relationship between the centroid rise and fall and the riverbed erosion and deposition have not been verified. Through the analysis of the water flow movement process and the erosion and deposition evolution process in different sections of the Yangtze River and other river channels, it is found that the centroid horizontal swing is consistent with the water flow dynamic axis horizontal swing, and the centroid rise and fall are also consistent with the riverbed erosion and deposition. Therefore, the centroid position itself represents the adaptability of hydrodynamic conditions and river channel, and its change can represent the adjustment direction of the cross-section morphology.

[0053] At the same time, due to the large difference in the size of the river cross-section in different sections, for different cross-sections, simply using the change of the centroid position to represent the adjustment of the cross-section morphology is not comparable. The flat river channel refers to the stable river morphology under the condition of the bankfull water level, i.e. the cross-section state when the water flow just fills the main river channel and the water level reaches the initial boundary of the floodplain. The flow at this time is called the bankfull flow, which usually corresponds to a medium-sized flood event with a return period of 1.5-2 years, and is a geomorphic feature under the long-term water and sediment transport balance. The bankfull river channel parameters (bankfull river width, bankfull water depth, bankfull water level, bankfull area, etc.) are important indicators in riverbed evolution. By standardizing the horizontal and vertical coordinates of the centroid with the bankfull river width and the bankfull water depth respectively (calculating the relative amplitude), the influence of the cross-section size difference can be eliminated, making the morphology adjustment of different cross-sections comparable. This relative amplitude quantification method can highlight the trend characteristics of the cross-section morphology change, rather than the fluctuation of the absolute value.

[0054] Based on the relative amplitude of the cross-section centroid horizontal coordinate and the centroid vertical coordinate relative to the relative amplitude of the flat river width and the flat water depth, according to the change trend of the relative amplitude between years, it is found that when the relative amplitude of the centroid horizontal and vertical coordinates is within 5%, the cross-section morphology does not show obvious change trend in horizontal and vertical directions. Therefore, taking 5% as the criterion, the cross-section adjustment is divided into six modes: quasi-equilibrium type, overall incision type, overall deposition type, translation incision type, translation deposition type and translation adjustment type. This discrimination method can more effectively identify the differences of different river cross-section morphology adjustment.

[0055] Embodiment 2 The embodiment provides a river cross-section morphology adjustment mode discrimination system based on centroid coordinate relative amplitude, including: The centroid horizontal and vertical coordinate calculation module is used for calculating the centroid horizontal coordinate and the centroid vertical coordinate under the flat water level based on the fixed cross-section topographic data of the target river section; The relative amplitude calculation module is used for calculating the relative amplitude of the centroid horizontal coordinate relative to the flat river width and the centroid vertical coordinate relative to the flat water depth each year; The discrimination module is used for discriminating the river cross-section morphology adjustment mode based on the relative amplitude of the centroid horizontal coordinate relative to the flat river width and the centroid vertical coordinate relative to the flat water depth.

[0056] It should be understood that the parts not elaborated in the specification are all prior art.

[0057] It should be understood that the above description of the preferred embodiments is more detailed, and therefore cannot be considered as a limitation on the scope of patent protection of the present application. It is not necessary and impossible to enumerate all the embodiments here. Those skilled in the art can make substitutions or modifications without departing from the scope of the claims of the present application, which fall within the scope of protection of the present application. The scope of protection of the present application should be subject to the appended claims.

Claims

1. A method for determining the adjustment mode of a river channel cross-section based on the relative amplitude variation of centroid coordinates, characterized by: The following steps are involved: Step 1. Based on the fixed cross-section topographic data of the target river section, calculate the centroid abscissa and centroid ordinate at the flat water level; Step 2: Calculate the relative change of the centroid abscissa relative to the river width and the centroid ordinate relative to the water depth of the flat beach each year; Step 3: judging the river section morphology adjustment mode based on the relative amplitude of the centroid abscissa relative to the flat river width and the centroid ordinate relative to the flat water depth.

2. The method for determining the adjustment mode of a river channel cross-section based on the relative amplitude variation of centroid coordinates according to claim 1, characterized in that: The step 1 comprises: Pingtan water level The water-passing section below is divided into multiple strips according to the measurement nodes of the fixed section; Treat each strip as a rectangular strip; The centroid abscissa and ordinate of the entire water-passing section are calculated based on the centroid abscissa and centroid ordinate of each rectangular strip, respectively.

3. The method for determining the adjustment mode of a river channel cross-section based on the relative amplitude variation of centroid coordinates according to claim 2, characterized in that: The centroid abscissa of the entire water-passing section for: The centroid ordinate of the entire water-passing section for: Where, is the distance from the center of a single rectangular bar to the starting point of the horizontal axis, is the area of ​​a single horizontal rectangular strip; The distance from the center of a single rectangle to the starting point of the vertical coordinate.

4. The method for determining the adjustment mode of a river channel cross-section based on the relative amplitude variation of centroid coordinates according to claim 1, characterized in that: In step 2, the relative amplitude of the centroid abscissa relative to the river width of the flat beach and the relative amplitude of the centroid ordinate relative to the water depth of the flat beach are respectively and ; in, 、 are the amplitude of the centroid abscissa and the amplitude of the centroid ordinate, The river is wide and flat. It is a flat beach with deep water.

5. The method for determining the adjustment mode of a river channel cross-section based on the relative amplitude variation of centroid coordinates according to claim 4, characterized in that: Flat water depth for: in, The river is wide and flat. It is a flat beach with deep water. It is a flat beach area.

6. The method for determining the adjustment mode of a river channel cross-section based on the relative amplitude variation of centroid coordinates according to claim 5, characterized in that: The calculation formulas for the relative variation of the centroid abscissa relative to the river width and the relative variation of the centroid ordinate relative to the water depth are as follows: Where, is the relative variation of the abscissa of the centroid in the nth year, is the relative change of the centroid ordinate in the nth year, is the abscissa of the centroid of the entire water-passing section in the nth year, is the vertical coordinate of the centroid of the entire water-passing section in the nth year, is the abscissa of the centroid of the entire water-passing section in the base year a, is the vertical coordinate of the centroid of the entire water-passing section in the base year a; is the width of Pingtan River in the base year a, is the flat water depth in the base year a.

7. The method for determining the adjustment mode of a river channel cross-section based on the relative amplitude variation of centroid coordinates according to claim 6, characterized in that: The river section morphology adjustment modes in step 3 include: balanced type, overall downcut type, overall sedimentation type, translation downcut type, translation sedimentation type, and translation adjustment type.

8. The method for determining the adjustment mode of a river channel cross-section based on the relative amplitude variation of centroid coordinates according to claim 7, characterized in that: when <5% and <5%, indicating that the horizontal and vertical adjustments of the cross-sectional morphology are small, the cross-sectional morphology is relatively stable, and it is set to the quasi-balanced cross-sectional morphology adjustment mode; when <5% and <-5%, indicating that the cross-sectional shape adjustment is dominated by vertical uniform downcutting, and the cross-sectional shape adjustment mode is set to the overall downcutting type; when <5% and >5%, indicating that the cross-sectional morphology adjustment is dominated by vertical uniform sedimentation, and the cross-sectional morphology adjustment mode is set as the overall sedimentation type; when >5% and <-5%, indicating that the cross-sectional morphology adjustment is the synergistic effect of lateral offset and vertical downcutting, and is set to the translation downcutting cross-sectional morphology adjustment mode; when >5% and >5%, indicating that the adjustment of the cross-section morphology is the synergistic effect of lateral displacement and vertical sedimentation, and is set to the translation sedimentation type cross-section morphology adjustment mode; when >5% and <5%, indicating that the adjustment of cross-sectional morphology is dominated by lateral migration, and the cross-sectional morphology adjustment mode is set as translation adjustment type.

9. The method for determining the adjustment mode of a river channel cross-section based on the relative amplitude variation of centroid coordinates according to claim 6, characterized in that: The base year is the year of the river's initial state before it was disturbed.

10. A river channel cross-section morphology adjustment mode discrimination system based on relative amplitude variation of centroid coordinates, characterized by: include: Centroid horizontal and vertical coordinate calculation module. It is used to calculate the centroid horizontal and vertical coordinates at the flat water level based on the fixed cross-section terrain data of the target river section; Relative amplitude calculation module. It is used to calculate the relative amplitude of the centroid abscissa relative to the flat river width and the centroid ordinate relative to the flat river depth each year; A discrimination module is used to discriminate the river section morphology adjustment mode based on the relative amplitude of the centroid abscissa relative to the flat river width and the centroid ordinate relative to the flat water depth; The river section morphology adjustment mode discrimination system based on the relative amplitude variation of centroid coordinates is used to execute the steps in the river section morphology adjustment mode discrimination method based on the relative amplitude variation of centroid coordinates described in any one of claims 1-9.

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