CN116796517A - Method, system, equipment and medium for calculating tidal volume of section of gulf mouth - Google Patents

Method, system, equipment and medium for calculating tidal volume of section of gulf mouth Download PDF

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CN116796517A
CN116796517A CN202310632983.XA CN202310632983A CN116796517A CN 116796517 A CN116796517 A CN 116796517A CN 202310632983 A CN202310632983 A CN 202310632983A CN 116796517 A CN116796517 A CN 116796517A
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gulf
tide
section
target
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CN116796517B (en
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朱金龙
徐艳东
陈玮
刘宁
孙贵芹
孙伟
王腾
孔茹
王玉祯
魏潇
朱淑香
王军
张娟
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Shandong Marine Resource and Environment Research Institute
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Shandong Marine Resource and Environment Research Institute
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00Details relating to the application field
    • G06F2113/08Fluids
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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Abstract

The invention discloses a method, a system, equipment and a medium for calculating the tidal volume of a gulf mouth section, and relates to the technical field of ocean engineering. The method comprises the following steps: acquiring hydrodynamic force numerical simulation data; carrying out two-dimensional tide numerical simulation according to hydrodynamic numerical simulation data to obtain a two-dimensional tide numerical simulation result; extracting the calculated data of the tide amount of the target gulf mouth section in the target time period from the two-dimensional tide numerical simulation result; calculating single-wide flow data according to the tide level calculation data; calculating gulf mouth section flow data according to the single-width flow data; and calculating the tide receiving amount of the target gulf mouth section according to the gulf mouth section flow data. The method can accurately and efficiently calculate the tidal volume of the bay without being limited by the area of the bay, and is convenient for researching and analyzing the space-time distribution of the tidal volume of the bay.

Description

Method, system, equipment and medium for calculating tidal volume of section of gulf mouth
Technical Field
The invention relates to the technical field of ocean engineering, in particular to a method, a system, equipment and a medium for calculating the tidal volume of a gulf mouth section.
Background
The tidal volume of the bay is the volume of the tidal water received by the bay, and for the bay, the tidal volume directly reflects the self-cleaning capacity of the bay, is the basis of water bodies inside and outside the bay and material exchange, and plays a decisive role in transporting and diffusing materials in the bay. Compared with open sea, the area of the bay water area is narrow, the tide condition is weaker, and the pollution bearing and self-cleaning capacities are poorer. The bay generally has good natural and social conditions, the development and utilization intensity of the sea area is high, the heavy pressure is caused to the shoreline resources, meanwhile, the serious challenges are brought to the water environment of the coastal zone, particularly, the development of the offshore area is continuous and deep, the emission of land pollutants is continuously increased, the water quality of part of the bay is deteriorated, the marine environment pollution is serious, and the marine condition is changed greatly. The tide receiving amount is the most critical index for calculating the bay environment capacity, the bay environment capacity is an important basis for formulating bay environment management targets and sewage drainage standards, and is a key for reasonably formulating sea area pollution control countermeasures and implementing total sewage drainage control.
For bay, tidal current varies periodically with time, so the amount of nanotide at different tide cycles is also different. The conventional method is used for calculating the static tidal volume of the bay by adopting the area of the bay and the tidal range, and the tidal range is changed with time and space, so the method is only suitable for calculating the average tidal volume of the bay with smaller area, and cannot calculate the tidal volume of the bay with larger area.
Disclosure of Invention
The invention aims to provide a gulf mouth section tide level calculation method, a gulf mouth section tide level calculation system, gulf mouth section tide level calculation equipment and a gulf mouth section tide level calculation medium, so that the gulf tide level can be accurately and efficiently calculated without being limited by the area of a gulf.
In order to achieve the above object, the present invention provides the following solutions:
a calculation method of the tidal volume of the section of the gulf mouth comprises the following steps:
acquiring hydrodynamic force numerical simulation data; the hydrodynamic force numerical simulation data comprise shoreline data, water depth data and boundary tide level data;
performing two-dimensional tide numerical simulation according to the hydrodynamic force numerical simulation data to obtain a two-dimensional tide numerical simulation result;
extracting the calculated data of the tide amount of the target gulf mouth section in the target time period from the two-dimensional tide numerical simulation result; a plurality of control points are distributed on the section of the target gulf opening; a plurality of time steps are arranged in the target time period, and one end point of each time step is a moment; the target time period is a tide rising period or a tide falling period; the tide level calculation data comprise water depth data, flow rate data and flow direction data of each control point at different moments;
calculating single-wide flow data according to the tide level calculation data; the single-wide flow data comprise single-wide flows of the control points at different moments;
calculating gulf mouth section flow data according to the single wide flow data; the gulf mouth section flow data comprise section flow of a target gulf mouth section at different moments;
and calculating the tide receiving amount of the target gulf mouth section according to the gulf mouth section flow data.
Optionally, calculating single-wide flow data according to the nano-tide amount calculation data, wherein the specific formula is as follows:
wherein:single wide flow at the moment of the ith control point j; />The water depth at the moment j of the ith control point; />The flow rate at the moment of the ith control point j; />The flow direction at the moment of the ith control point j; and gamma is an included angle between the N direction and the direction of the starting point and the ending point of the section clockwise.
Optionally, calculating the data of the gulf mouth section flow according to the single wide flow data, wherein the specific formula is as follows:
wherein: ΔQ j The section flow rate at the moment of the section j of the mouth of the target gulf is; m is the control point number on the section of the target gulf opening;single wide flow at the moment of the ith control point j; />Single wide flow at the moment of j of the (i+1) th control point; Δl i Is the distance between the ith control point and the (i+1) th control point.
Optionally, calculating the tide content of the target gulf mouth section according to the gulf mouth section flow data, wherein the specific formula is as follows:
wherein: q is the tide content of the section of the mouth of the target gulf; n is the number of time steps in the target time period; ΔQ j The section flow rate at the moment of the section j of the mouth of the target gulf is; ΔQ j+1 The section flow rate at the moment of j+1 of the section of the mouth of the target gulf is; Δt is the time step.
Optionally, performing two-dimensional tide numerical simulation according to the hydrodynamic numerical simulation data to obtain a two-dimensional tide numerical simulation result, which specifically comprises:
a hydrodynamic force numerical simulation technology is adopted, and a two-dimensional tide numerical model is established according to hydrodynamic force numerical simulation data;
performing accuracy verification on the two-dimensional tide numerical model until the accuracy of the two-dimensional tide numerical model meets the technical specification requirements of the marine engineering simulation test;
and determining a two-dimensional power flow numerical simulation result based on the two-dimensional power flow numerical model.
Optionally, extracting the calculated data of the tide amount of the target gulf mouth section in the target time period from the two-dimensional tide numerical simulation result specifically includes:
and extracting the calculated data of the tide amount of the target gulf mouth section in the target time period from the two-dimensional tide numerical simulation result by adopting a linear interpolation mode.
Optionally, the shoreline data is obtained by interpreting a remote sensing image, and the remote sensing image is a remote sensing image meeting the requirements of ocean monitoring technical regulations; the water depth data is obtained based on a digital chart or on-site measured water depth data.
A gulf mouth section tidal volume calculation system includes:
the data acquisition module is used for acquiring hydrodynamic force numerical simulation data; the hydrodynamic force numerical simulation data comprise shoreline data, water depth data and boundary tide level data;
the numerical simulation module is used for carrying out two-dimensional tide numerical simulation according to the hydrodynamic force numerical simulation data to obtain a two-dimensional tide numerical simulation result;
the data extraction module is used for extracting the calculated data of the tide amount of the target gulf mouth section in the target time period from the two-dimensional tide numerical simulation result; a plurality of control points are distributed on the section of the target gulf opening; a plurality of time steps are arranged in the target time period, and one end point of each time step is a moment; the tide level calculation data comprise water depth data, flow rate data and flow direction data of each control point at different moments;
the single-wide flow calculation module is used for calculating single-wide flow data according to the tide level calculation data; the single-wide flow data comprise single-wide flows of the control points at different moments;
the section flow calculation module is used for calculating the gulf mouth section flow data according to the single wide flow data; the gulf mouth section flow data comprise section flow of a target gulf mouth section at different moments;
and the tide amount calculation module is used for calculating the tide amount of the target gulf mouth section according to the gulf mouth section flow data.
An electronic device comprises a memory and a processor, wherein the memory is used for storing a computer program, and the processor runs the computer program to enable the electronic device to execute the method for calculating the gulf mouth section moisture content.
A computer-readable storage medium storing a computer program which, when executed by a processor, implements the above-described method for calculating the gulf-section moisture content.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects:
the method for calculating the gulf mouth section tidal volume comprises the steps of calculating the single wide flow of each control point on the gulf mouth section by adopting a gulf mouth section flow accumulation method, accumulating the single wide flow of the whole section along the width of a gate to obtain the section flow of the whole section, and accumulating the flow according to the tide rising period or the tide falling period to obtain the gulf dynamic tidal volume.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are needed in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flowchart of a method for calculating the gulf-mouth section tidal volume according to the present invention;
FIG. 2 is a diagram showing the definition of parameters of the gulf-mouth section according to the present invention;
FIG. 3 is a diagram showing the flow field and water depth distribution of the Bay flood in the year 2020;
FIG. 4 is a graph showing the distribution of the flow field and the depth of water of the Laizhou Bay in 2020
Fig. 5 is a graph of the moisture content of the lyzhou bay over time in 2020.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
The invention aims to provide a gulf mouth section tide level calculation method, a gulf mouth section tide level calculation system, gulf mouth section tide level calculation equipment and a gulf mouth section tide level calculation medium, so that the gulf tide level can be accurately and efficiently calculated without being limited by the area of a gulf.
Specifically, the gulf mouth section flow accumulating method is adopted, the time series flow of the whole section is obtained by calculating the single wide flow of each control point on the gulf mouth section and accumulating the single wide flow of the whole section along the width of the gate, and then the gulf tide receiving amount can be obtained by accumulating the flow according to the tide rise or tide fall period.
In order that the above-recited objects, features and advantages of the present invention will become more readily apparent, a more particular description of the invention will be rendered by reference to the appended drawings and appended detailed description.
Example 1
The embodiment of the invention provides a gulf mouth section tidal volume calculation method. As shown in fig. 1, the method includes:
step S1: acquiring hydrodynamic force numerical simulation data; the hydrodynamic force numerical simulation data comprise shoreline data, water depth data and boundary tide level data. The shore line data are obtained by interpreting remote sensing images, and the remote sensing images are remote sensing images meeting the requirements of ocean monitoring technical regulations; the water depth data is obtained based on a digital chart or on-site measured water depth data.
As a specific implementation, the shoreline data is derived from remote sensing image interpretation, and the requirements of the remote sensing image such as spatial resolution, imaging time and image quality are implemented according to the rules of HY/T147.7. The water depth data is derived from digital sea chart or on-site actual measurement water depth data, and the water depth measurement year is similar to the year of the shoreline data.
Step S2: and carrying out two-dimensional tide numerical simulation according to the hydrodynamic force numerical simulation data to obtain a two-dimensional tide numerical simulation result.
The step S2 specifically comprises the following steps: a hydrodynamic force numerical simulation technology is adopted, and a two-dimensional tide numerical model is established according to hydrodynamic force numerical simulation data; performing accuracy verification on the two-dimensional tide numerical model until the accuracy of the two-dimensional tide numerical model meets the technical specification requirements of the marine engineering simulation test; and determining a two-dimensional power flow numerical simulation result based on the two-dimensional power flow numerical model.
It should be noted that, because the hydrodynamic force numerical simulation is the prior art, the hydrodynamic force numerical simulation can be realized by adopting the prior art and the prior software (such as HEC-RAS, MIKE, etc.), so as to obtain the required variable data, and therefore, the description is omitted here.
As a specific implementation mode, when the accuracy verification is carried out on the two-dimensional tide numerical model, tide levels of not less than 2 stations and tide observation data of 3 stations corresponding to the year of the shoreline data are selected, the tide level verification duration is not less than 1 month, the tide verification duration is not less than 25 hours, and model verification accuracy control is carried out according to the specification of JTS/T231.
Step S3: extracting the calculated data of the tide amount of the target gulf mouth section in the target time period from the two-dimensional tide numerical simulation result; a plurality of control points are distributed on the section of the target gulf opening; a plurality of time steps are arranged in the target time period, and one end point of each time step is a moment; the target time period is a tide rising period or a tide falling period; the calculated data of the tide level comprise water depth data, flow velocity data and flow direction data of each control point at different moments.
Preferably, a linear interpolation mode is adopted to extract the calculated data of the tide level of the section of the target port in the target time period from the two-dimensional tide value simulation result.
As a specific implementation mode, M control points are distributed on the gulf mouth section, and the distance between two adjacent control points is Deltal i The rising or falling period is set to N time steps, and the time step is deltat. According to the Bay two-dimensional tide numerical simulation result (water depth, flow velocity and flow direction), extracting water depth, flow velocity and flow direction at N moments of M control points on the section by adopting a linear interpolation mode. The more the gulf mouth section control points are distributed, the more the number of time steps set in the rising tide period or the falling tide period is, and the more accurate the calculation result of the tide level is. But it should be noted that the number of the gulf mouth section control points should be no more than the model grid node spacing, and the time step should be no more than 15min.
Step S4: calculating single-wide flow data according to the tide level calculation data; the single-wide flow data comprises single-wide flows of the control points at different moments.
The specific formula for calculating the single-width flow is as follows:
wherein:for the single wide flow (m 2 /s);/>The water depth (m) at the moment of the ith control point j; />The flow rate (m/s) at the i-th control point j; />A flow direction (rad) at the i-th control point j; gamma is an angle (rad) between the N direction (north direction) and the direction of the starting point and the ending point of the fracture surface, and the starting point and the ending point of the fracture surface of the gulf mouth are defined as: the specific definition of the parameters (i.e. flow direction α, flow velocity v, included angle γ, N direction, section start point and section end point) is shown in fig. 2.
The single-width flow formula shows that the single-width flow inputted into the bay through the section is positive, and the single-width flow outputted out of the bay is negative.
Step S5: calculating gulf mouth section flow data according to the single wide flow data; the gulf mouth section flow data comprise section flow of a target gulf mouth section at different moments.
The specific formula for calculating the section flow is as follows:
wherein: ΔQ j Is the section flow rate (m) of the target gulf mouth section j moment 3 S); m is the target bayControl points on the mouth section;for the single wide flow (m 2 /s);/>For the single wide flow (m 2 /s);Δl i Is the distance (m) between the ith control point and the (i+1) th control point.
Step S6: and calculating the tide receiving amount of the target gulf mouth section according to the gulf mouth section flow data.
The specific formula for calculating the moisture content is as follows:
wherein: q is the tidal volume (m) of the target gulf mouth section 3 ) The method comprises the steps of carrying out a first treatment on the surface of the N is the number of time steps in the target time period; ΔQ j Is the section flow rate (m) of the target gulf mouth section j moment 3 /s);ΔQ j+1 Is the section flow rate (m) at the moment of the target gulf mouth section j+1 3 S); Δt is the time step(s).
An example of a specific application of the above method for calculating the amount of estuary moisture is provided below.
Based on the two-dimensional tide numerical simulation of the flow field and the water depth distribution diagram of the Laizhou bay in 2020 shown in fig. 3 and 4, obtaining the two-dimensional tide numerical simulation result of the Laizhou bay in 2020, and equidistantly distributing M=500 control points on the cross section of the Laizhou bay mouth, wherein the distance alpha l between two adjacent control points is equal to the distance alpha l between the two adjacent control points i Time step Δt=180s, γ=4.87 rad, =203 m; because the tidal type of Laizhou bay is irregular half daily tide, the duration of rising and falling tide is different, and the number of rising and falling tide time steps is also different, the value of the time step number N is 109-128 according to the characteristics of tide. The amount of nanotide for a total of 60 tide cycles in the lye bay in 2020 was calculated according to formulas (1) to (3), as shown in fig. 5. Calculated that the tidal volume is 6.87 multiplied by 10 in the large tide period of Laizhou bay in 2020 9 m 3 The tidal volume of the small tidal period is 4.93 multiplied by 10 9 m 3 Average nano tideThe amount was 6.0X10 9 m 3
Example two
In order to execute the method corresponding to the above embodiment to achieve the corresponding functions and technical effects, a gulf mouth section tidal volume calculation system is provided below. The system comprises:
the data acquisition module is used for acquiring hydrodynamic force numerical simulation data; the hydrodynamic force numerical simulation data comprise shoreline data, water depth data and boundary tide level data.
And the numerical simulation module is used for carrying out two-dimensional tide numerical simulation according to the hydrodynamic force numerical simulation data to obtain a two-dimensional tide numerical simulation result.
The data extraction module is used for extracting the calculated data of the tide amount of the target gulf mouth section in the target time period from the two-dimensional tide numerical simulation result; a plurality of control points are distributed on the section of the target gulf opening; a plurality of time steps are arranged in the target time period, and one end point of each time step is a moment; the calculated data of the tide level comprise water depth data, flow velocity data and flow direction data of each control point at different moments.
The single-wide flow calculation module is used for calculating single-wide flow data according to the tide level calculation data; the single-wide flow data comprises single-wide flows of the control points at different moments.
The section flow calculation module is used for calculating the gulf mouth section flow data according to the single wide flow data; the gulf mouth section flow data comprise section flow of a target gulf mouth section at different moments.
And the tide amount calculation module is used for calculating the tide amount of the target gulf mouth section according to the gulf mouth section flow data.
Example III
The embodiment of the invention also provides electronic equipment, which comprises a memory and a processor, wherein the memory is used for storing a computer program, and the processor is used for running the computer program to enable the electronic equipment to execute the method for calculating the gulf mouth section moisture content in the first embodiment. The electronic device may be a server.
The present invention also provides a computer-readable storage medium storing a computer program which, when executed by a processor, implements the method for calculating the gulf-mouth section moisture content in the first embodiment.
In the present specification, each embodiment is described in a progressive manner, and each embodiment is mainly described in a different point from other embodiments, and identical and similar parts between the embodiments are all enough to refer to each other. For the system disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and the relevant points refer to the description of the method section.
The principles and embodiments of the present invention have been described herein with reference to specific examples, the description of which is intended only to assist in understanding the methods of the present invention and the core ideas thereof; also, it is within the scope of the present invention to be modified by those of ordinary skill in the art in light of the present teachings. In view of the foregoing, this description should not be construed as limiting the invention.

Claims (10)

1. The method for calculating the tidal volume of the section of the gulf mouth is characterized by comprising the following steps of:
acquiring hydrodynamic force numerical simulation data; the hydrodynamic force numerical simulation data comprise shoreline data, water depth data and boundary tide level data;
performing two-dimensional tide numerical simulation according to the hydrodynamic force numerical simulation data to obtain a two-dimensional tide numerical simulation result;
extracting the calculated data of the tide amount of the target gulf mouth section in the target time period from the two-dimensional tide numerical simulation result; a plurality of control points are distributed on the section of the target gulf opening; a plurality of time steps are arranged in the target time period, and one end point of each time step is a moment; the target time period is a tide rising period or a tide falling period; the tide level calculation data comprise water depth data, flow rate data and flow direction data of each control point at different moments;
calculating single-wide flow data according to the tide level calculation data; the single-wide flow data comprise single-wide flows of the control points at different moments;
calculating gulf mouth section flow data according to the single wide flow data; the gulf mouth section flow data comprise section flow of a target gulf mouth section at different moments;
and calculating the tide receiving amount of the target gulf mouth section according to the gulf mouth section flow data.
2. The gulf-mouth section tidal volume calculation method of claim 1, wherein calculating single-wide flow volume data according to the tidal volume calculation data comprises the following specific formulas:
wherein:single wide flow at the moment of the ith control point j; />The water depth at the moment j of the ith control point; />The flow rate at the moment of the ith control point j; />The flow direction at the moment of the ith control point j; and gamma is an included angle between the N direction and the direction of the starting point and the ending point of the section clockwise.
3. The gulf mouth section tidal volume calculation method of claim 1, wherein the calculation of the gulf mouth section flow volume data according to the single wide flow volume data comprises the following specific formulas:
wherein: ΔQ j The section flow rate at the moment of the section j of the mouth of the target gulf is; m is the control point number on the section of the target gulf opening;single wide flow at the moment of the ith control point j; />Single wide flow at the moment of j of the (i+1) th control point; Δl i Is the distance between the ith control point and the (i+1) th control point.
4. The method for calculating the tidal volume of the gulf-mouth section according to claim 1, wherein the tidal volume of the target gulf-mouth section is calculated according to the gulf-mouth section flow data, and the specific formula is as follows:
wherein: q is the tide content of the section of the mouth of the target gulf; n is the number of time steps in the target time period; ΔQ j The section flow rate at the moment of the section j of the mouth of the target gulf is; ΔQ j+1 The section flow rate at the moment of j+1 of the section of the mouth of the target gulf is; Δt is the time step.
5. The gulf-mouth section tidal volume calculation method of claim 1, wherein the two-dimensional tidal volume numerical simulation is performed according to the hydrodynamic numerical simulation data to obtain a two-dimensional tidal volume numerical simulation result, specifically comprising:
a hydrodynamic force numerical simulation technology is adopted, and a two-dimensional tide numerical model is established according to hydrodynamic force numerical simulation data;
performing accuracy verification on the two-dimensional tide numerical model until the accuracy of the two-dimensional tide numerical model meets the technical specification requirements of the marine engineering simulation test;
and determining a two-dimensional power flow numerical simulation result based on the two-dimensional power flow numerical model.
6. The method of calculating the amount of estuary cross-section estuary according to claim 1, wherein extracting the amount of estuary calculation data of the target estuary cross-section in the target time zone from the two-dimensional tidal current numerical simulation result, specifically comprises:
and extracting the calculated data of the tide amount of the target gulf mouth section in the target time period from the two-dimensional tide numerical simulation result by adopting a linear interpolation mode.
7. The gulf mouth section tidal volume calculation method of claim 1, wherein the shoreline data is obtained by interpreting a remote sensing image, the remote sensing image being a remote sensing image meeting the requirements of ocean monitoring specifications; the water depth data is obtained based on a digital chart or on-site measured water depth data.
8. The utility model provides a gulf mouth section receives tidal volume computing system which characterized in that includes:
the data acquisition module is used for acquiring hydrodynamic force numerical simulation data; the hydrodynamic force numerical simulation data comprise shoreline data, water depth data and boundary tide level data;
the numerical simulation module is used for carrying out two-dimensional tide numerical simulation according to the hydrodynamic force numerical simulation data to obtain a two-dimensional tide numerical simulation result;
the data extraction module is used for extracting the calculated data of the tide amount of the target gulf mouth section in the target time period from the two-dimensional tide numerical simulation result; a plurality of control points are distributed on the section of the target gulf opening; a plurality of time steps are arranged in the target time period, and one end point of each time step is a moment; the tide level calculation data comprise water depth data, flow rate data and flow direction data of each control point at different moments;
the single-wide flow calculation module is used for calculating single-wide flow data according to the tide level calculation data; the single-wide flow data comprise single-wide flows of the control points at different moments;
the section flow calculation module is used for calculating the gulf mouth section flow data according to the single wide flow data; the gulf mouth section flow data comprise section flow of a target gulf mouth section at different moments;
and the tide amount calculation module is used for calculating the tide amount of the target gulf mouth section according to the gulf mouth section flow data.
9. An electronic device comprising a memory and a processor, the memory storing a computer program, the processor running the computer program to cause the electronic device to perform the method of calculating the gulf-mouth section moisture content as claimed in any one of claims 1 to 7.
10. A computer-readable storage medium storing a computer program which, when executed by a processor, implements the method for calculating the gulf-mouth section moistures amount according to any one of claims 1 to 7.
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