A calculation method of bore climbing in single slope condition

Abstract

The application provides a kind of calculation method of surge climbing height under single slope condition, first obtains surge parameter, then obtains the relative propagation speed of surge from surge parameter, then respectively establishes the total energy calculation formula of surge water body before incidence and the water body energy calculation formula when surge climbs to the maximum climbing height position, according to the approximate conservation of energy in the physical process before and after surge climbing, the energy conservation equation in the process of surge climbing and the dimensionally consistent form of relative climbing calculation formula of surge are established, finally, indoor test results and field data are used to calibrate different dike slope gradient angle, facing material, surge and dike longitudinal axis influence, to obtain the calculation formula of surge climbing height under single slope condition, and the surge climbing height is obtained. According to the basic hydrological parameters easily obtained on site, the fitting formula verified by indoor test and measured data is used to calculate the surge climbing height under single slope condition, the calculation result is accurate and efficient, which can provide support for dike design in surge river section and save design cost.

Description

Technical Field

[0001] This invention relates to the fields of fluid mechanics and hydraulic engineering, and mainly to a method for calculating the tidal bore run-up under single-slope conditions. Background Technology

[0002] Tidal bores are a very special type of water flow, characterized by high velocity, strong destructive force, and complex flow characteristics. Many strong tidal estuaries around the world experience tidal bores, such as the Amazon River in Brazil, the Severn River in the UK, and the Hoogell River in India. In my country, tidal bores also occur in the Qiantang River, the northern branch of the Yangtze River estuary, and the Lingjiang and Feiyunjiang rivers, which are part of the Jiaojiang River in Zhejiang Province.

[0003] The Qiantang River tidal bore is the most typical among all river estuaries, and is a unique tourist resource and natural wonder. After the Qiantang River tidal bore forms, the water flow characteristics change dramatically. Before and after the tidal bore arrives, the water level rises suddenly by 2-3 meters, and the water flow rapidly changes from an ebb tide state to a rising tide state, quickly reaching its extreme value.

[0004] Tidal surge rise refers to the maximum vertical height of the tidal surge up the slope of the embankment from the pre-tidal water level. Because tidal surges are tidal wave fronts with rapidly changing water levels and flow velocities, they contain enormous energy and cause severe damage to embankments. Embankment structures within the tidal surge rise range are frequently damaged. At the same time, tidal surges, as a unique natural tourism resource, especially with the towering columns of water created by the surge rising along the embankment slope, increasingly attract people to stop and watch. Millions of people visit the banks of the Qiantang River every year to watch the tidal surge. There are frequent reports of tidal surges causing embankment damage and injuries. From an engineering safety perspective, the impact range of the tidal surge on the embankment is a key focus for the engineering community to ensure the safe operation of the embankment. From the perspective of ensuring the safety of tidal surge viewers, the Qiantang River tidal surge viewing section has various embankment structures. A thorough understanding and mastery of the tidal surge rise of different embankment slopes is of great significance for ensuring the safety of tidal surge viewers, enhancing the appreciation value of tidal surges, and developing tidal surge resources. There is currently no effective formula or method for calculating tidal run-up under single-slope conditions by combining dike protection and corresponding tidal hydrological parameters. Summary of the Invention

[0005] Technical issues

[0006] To address the aforementioned problems, this invention provides a method for calculating tidal bore run-up under single-slope conditions. This method can calculate the tidal bore run-up under single-slope conditions using basic hydrological parameters readily available at the tidal bore site and fitting formulas verified by indoor experiments and measured data. The calculation results are accurate and efficient, providing support for the design of embankments in tidal bore river sections, saving design costs, and enabling the assessment and early warning of tidal bore safety risks in different river sections, thus ensuring the safety of life and property of tidal bore spectators.

[0007] Technical solution

[0008] A method for calculating tidal run-up under single-slope conditions includes the following steps:

[0009] Obtain the pre-tidal water depth, tidal height, and embankment slope angle of the incident tidal bore;

[0010] The relative propagation speed of the tidal bore is calculated from the pre-tidal water depth and the tidal bore height.

[0011] Establish formulas for calculating the total energy of the tidal bore before injection and for calculating the energy of the tidal bore when it reaches its maximum height.

[0012] Based on the approximate conservation of energy in the physical processes before and after the tidal bore rises, an energy conservation equation and a dimensionally harmonious formula for calculating the relative tidal bore rise are established.

[0013] By using indoor test results and field data to calibrate the effects of different embankment slope angles, revetment materials, and the longitudinal axis of the tidal bore on the embankment, a formula for calculating the tidal bore run-up under single-slope conditions is obtained, and the tidal bore run-up is calculated.

[0014] In some preferred embodiments, the formula for calculating the relative propagation speed of the tidal bore from the pre-tidal water depth and tidal bore height is shown in equation (1):

[0015] (1)

[0016] in, denoted as tidal bore relative propagation velocity; g is gravitational acceleration; H is tidal bore height; d is the water depth in front of the tide.

[0017] In some preferred embodiments, when establishing the formula for calculating the water energy when the tidal bore reaches its maximum height, the velocity is zero, and friction and turbulent dissipation are ignored.

[0018] In some preferred embodiments, the total energy of the tidal bore before impact is calculated as shown in equation (2):

[0019] (2)

[0020] in, , ρ represents the unit kinetic energy and potential energy of the incident tidal bore, respectively; H is the tidal bore height; ρ is the density of the water. d represents the relative propagation speed of the tidal bore; d represents the water depth in front of the tide; and z represents the integral variable of the tidal bore height.

[0021] In some preferred embodiments, the water energy calculation formula at the maximum climbing position is shown in equation (3):

[0022] (3)

[0023] in, , denoted as kinetic energy and potential energy per unit when the tidal bore reaches its maximum position, respectively; ρ is the density of the water; z is the integral variable of the tidal bore height. For tidal bore foundation elevation without considering bottom slope effect; The value is the water distribution morphology coefficient after climbing, ranging from 0.1 to 0.33.

[0024] In some preferred embodiments, the energy conservation equation during the tidal surge is shown in equation (4):

[0025] (4)

[0026] Where ρ is the density of the water; H is the tidal bore height; g is the relative propagation speed of the tidal bore; g is the acceleration due to gravity. For tidal bore foundation elevation without considering bottom slope effect; The value is the water distribution morphology coefficient after climbing, ranging from 0.1 to 0.33.

[0027] In some preferred embodiments, equation (1) is substituted into equation (4) to establish a dimensionally harmonious formula for calculating the relative run-up of the tidal bore, as shown in equation (5):

[0028] (5)

[0029] in, The rise of the tidal bore foundation is not considered for the bottom slope effect; d is the water depth before the tide; H is the tidal bore height; The value is the water distribution morphology coefficient after climbing, ranging from 0.1 to 0.33.

[0030] In some preferred embodiments, the calculation formula for the tidal bore run-up under the single-slope condition is shown in equation (6):

[0031] (6)

[0032] in, This refers to the tidal bore climbing under single-slope conditions. The roughness and permeability coefficient of the material of the embankment slope protection structure ranges from 0.2 to 1.0; The oblique influence coefficient of tidal bore has a value range of 0.6 to 1.0; The value is the water distribution morphology coefficient after climbing, ranging from 0.1 to 0.33, with 0.283 being preferred; m is the tidal bore slope ratio. The preferred value range is 0.2 to 3.0; β is the slope angle of the revetment; H is the tidal bore height; and d is the water depth before the tide.

[0033] This invention derives a formula for the relative run-up of tidal bore based on the law of conservation of energy and dimensional harmony, namely, a dimensional harmony-form formula for calculating the relative run-up of tidal bore. Then, it systematically studies the run-up of tidal bore along the slope of a specific seawall structure using tidal flume experiments. Based on the theoretically derived dimensional harmony-form formula for calculating the relative run-up of tidal bore, experimental data and field observation data are used to fit the tidal bore run-up of different seawall slopes, proposing a formula for calculating the tidal bore run-up under single-slope conditions. Using this formula, the run-up of tidal bore along the slope of a single-slope condition can be calculated using known pre-tidal water depth, tidal bore height, and seawall slope angle.

[0034] A computer device includes a memory, a processor, a communication interface, and a communication bus; wherein the memory, processor, and communication interface communicate with each other through the communication bus; the memory is used to store computer programs; the processor is used to execute the computer programs stored in the memory, and when the processor executes the computer programs, it implements the aforementioned method for calculating tidal surge height under single-slope conditions.

[0035] A computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the aforementioned method for calculating tidal surge height under single-slope conditions.

[0036] Based on common knowledge in the field, the above-mentioned preferred conditions can be combined to obtain specific implementation methods.

[0037] Beneficial effects

[0038] According to this invention, a dimensionally harmonious formula for calculating the relative run-up of tidal bores is proposed. Based on flume test data and measured tidal bore data, a highly accurate and efficient formula for calculating the tidal bore run-up under single-slope conditions is developed using mathematical statistics. This formula demonstrates that the tidal bore run-up under single-slope conditions can be calculated using tidal bore hydraulic parameters and revetment parameters. Verified by measured or experimental data, the proposed formula effectively reflects the tidal bore run-up under single-slope conditions with minimal calculation error. This invention provides support for revetment design in tidal bore river sections, saving design costs. The tidal bore run-up calculation method provided by this invention can assess and provide early warning of safety risks for tidal bore viewers in different river sections, protecting the lives and property of tidal bore spectators.

[0039] The present invention adopts the above-mentioned technical solution to achieve the above objectives, which makes up for the shortcomings of the prior art, is reasonably designed, and is easy to operate. Attached Figure Description

[0040] To make the present invention more apparent and understandable, the accompanying drawings used in the specific embodiments of the present invention will be briefly described below.

[0041] Figure 1 A schematic diagram illustrating the characteristic parameters involved in tidal bore rise;

[0042] Figure 2 An indoor simulation of tidal surge climbing;

[0043] Figure 3 A comparison chart of calculated and experimental values ​​for tidal bore run-up;

[0044] Figure 4 Photos showing the tidal bore rising high. Detailed Implementation

[0045] Those skilled in the art can refer to the content of this document and appropriately replace and / or modify the process parameters to achieve the desired results. However, it should be particularly noted that all similar replacements and / or modifications are obvious to those skilled in the art and are considered to be included in this invention. The products and preparation methods described in this invention have been described through preferred examples, and those skilled in the art can obviously modify or appropriately change and combine the products and preparation methods described herein without departing from the content, spirit, and scope of this invention to realize and apply the technology of this invention.

[0046] Furthermore, unless otherwise specified, the experimental methods used in the embodiments are conventional methods; the materials and reagents used are commercially available unless otherwise specified. Reagents or instruments whose manufacturers are not specified are all commercially available products. All disclosures and other references mentioned herein are incorporated herein by reference in their entirety.

[0047] The present invention is described in detail below.

[0048] Example 1:

[0049] A method for calculating tidal bore run-up under single-slope conditions is provided, and the specific steps are as follows.

[0050] Step 1: Obtain relevant parameters, such as Figure 1 As shown, the water depth before the tide, d=1.2m, the tide height, H=1.8m, and the slope angle β=73° of the revetment were obtained through on-site observation or experimental measurement.

[0051] Step two, calculate the tidal run-up parameters. The relative propagation speed of the tidal bore is calculated from the pre-tidal water depth and tidal bore height. See equation (1), and the specific method is as follows:

[0052] (1)

[0053] In the formula, g is the acceleration due to gravity; H is the height of the tidal bore; This is the pre-tide water depth. Calculated... =7.173m / s.

[0054] Step 3: Calculate the relative run-up of the tidal bore. The run-up of the tidal bore is a phenomenon of interaction between the tidal bore and the dike. It can be regarded as the result of the huge kinetic and potential energy of the tidal bore being converted into upward motion. The formula for calculating the total energy of the tidal bore water before the incident is as follows, namely, formula (2). When it reaches the highest point, the velocity is zero. Ignoring friction and turbulent dissipation, the formula for calculating the energy of the water at the maximum run-up position is as follows, namely, formula (3):

[0055] (2)

[0056] (3)

[0057] In the formula, , ρ represents the unit kinetic energy and potential energy of the incident tidal bore, respectively; H is the tidal bore height; ρ is the density of the water. d represents the relative propagation speed of the tidal bore; d represents the water depth in front of the tidal bore; z represents the integral variable of the tidal bore height. , These represent the kinetic energy and potential energy per unit when the tidal bore reaches its maximum position, respectively. For tidal bore foundation elevation without considering bottom slope effect; The value is the water distribution morphology coefficient after climbing, ranging from 0.1 to 0.33.

[0058] Based on the approximate conservation of energy in the physical process of tidal bore rising, combining equations (2) and (3) yields... Establish the energy conservation equation during the tidal surge process, namely equation (4):

[0059] (4)

[0060] Substituting equation (1) into equation (4), we establish a dimensionally harmonious formula for calculating the relative rise of tidal bore, namely equation (5):

[0061] (5)

[0062] in, The rise of the tidal bore foundation is not considered for the bottom slope effect; d is the water depth before the tide; H is the tidal bore height; The water distribution pattern coefficient after elevation gain is denoted as 0.1–0.33, with a value ranging from 0.1 to 0.33. The calculated values ​​are... .

[0063] Step 4: Calculate the tidal run-up under single-slope conditions. Using indoor test results and field data, the effects of different revetment slope angles, revetment materials, and the longitudinal axis of the tidal bore on the revetment are calibrated to obtain the formula for calculating the tidal run-up under single-slope conditions, namely, Equation (6):

[0064] (6)

[0065] In the formula, For tidal surge climbing under single-slope conditions, The roughness and permeability coefficient of the material of the embankment slope protection structure ranges from 0.2 to 1.0; The oblique influence coefficient of tidal bore has a value range of 0.6 to 1.0; The water distribution morphology coefficient after elevation gain is taken as a value ranging from 0.1 to 0.33, with 0.283 being the preferred value; the slope ratio m = cotβ = 0.3058 is obtained from the slope angle β of the embankment; the initial characteristic quantity K is determined. ∆ =1.0, K θ =1.0, and R = 8.486m is obtained by using equation (6).

[0066] The tidal bore test was conducted in a tidal bore tank measuring 50m long, 1.2m wide, and 0.6m high. Figure 2 As shown, the flume generates tidal bores with different pre-tidal depths, pre-tidal velocities, and tidal heights using the Bore 2010 tidal bore monitoring system. Wave height sensors are used to measure the tidal bore water levels at different locations on the revetment slope. Based on field observation data, the pre-tidal depth of the tidal bore is... The range is mainly between 0 and 5 meters, while the tidal bore height H is between 0.5 and 3.5 meters, and the tidal bore slope ratio is... Between 0.2 and 3.0, depending on the slope angle of the embankment. They are respectively The experiment was divided into six levels, and more than 90 test schemes were conducted, with multiple repeated trials. The test results are as follows: Figure 3 As shown, the calculated R / d value is generally consistent with the experimental R / d value. The proposed calculation formula reflects the tidal run-up under single-slope conditions well, with small calculation errors. The method of this invention can provide support for the design of embankments in tidal river sections, saving design costs. The tidal run-up calculation method can assess and provide early warning of the safety risks of tidal viewing in different river sections, such as... Figure 4 As shown, this is to protect the lives and property of those watching the tide.

[0067] Example 2:

[0068] Based on Example 1, considering that the splashing water and atomized water droplets generated after the tidal bore impacts the slope will affect facilities on the top of the embankment such as streetlights and monitoring equipment, and especially affect or even endanger the safety of the tide-watching crowd, the splash run-up is calculated based on the tidal bore run-up using Equation (7):

[0069] (7)

[0070] Among them, R sThe splash run-up is defined by the splash effect; R represents the tidal run-up; Δ represents the absolute surface roughness of the revetment slope structure; d is the pre-tidal water depth; H is the tidal height; a, b, and c are dimensionless empirical coefficients calibrated through systematic flume impact tests, with a = 0.2–0.4, preferably 0.3; b = 0.1–0.3, preferably 0.25; c = 0.5–0.7, preferably 0.6. The energy of the splash phenomenon originates from the kinetic energy lost when the tidal bore impacts the slope. Therefore, the splash intensity is mainly controlled by two factors: the impact energy scale, H / d, i.e., the relative tidal height, which determines the steepness of the tidal bore front and the kinetic energy per unit volume of water; and the surface roughness scale, Δ / d, i.e., the relative roughness, which determines the proportion of energy converted into water fragmentation and splashing rather than smooth run-up along the slope during impact. Therefore, the additional splash height (R) is... s -R) is proportional to the structural run-up R, since both energies originate from tidal surges and are corrected by a power function product of (Δ / d) and (H / d). The calculated structural run-up R is then compared with the effective safe run-up R. s Simultaneously, when conducting risk assessments for levee breaching or delineating safe zones for tide watching, the output should be based on R. s As a baseline safety level, a more conservative safety warning line should be drawn.

[0071] Taking the embankment slope in Example 1 as an example, it is a rough riprap embankment with an absolute surface roughness Δ=0.06m and R=8.486m. Calculate the splash run-up. If the embankment slope is a smooth concrete embankment with an absolute surface roughness Δ = 0.002 m, the calculated splash run-up R... s The value is approximately 9.14m, indicating that under the same tidal hydraulic conditions, the splash height generated by the rough stone revetment is about 0.88m higher than that of the smooth revetment. This explains why the water splashes seem farther and more intense when watching the tide on a rough seawall. The method in this embodiment successfully quantifies this difference.

[0072] Quantifying the splash effect of tidal bore impacts extends the focus from solely "water rise" to "splash hazards," resulting in a more comprehensive safety risk assessment with results closer to actual hazardous scenarios. This significantly improves the accuracy and reliability of public safety early warnings. The method can be directly used to calculate the maximum height and range that tidal bore splashes may reach under different revetment cross-sections and material conditions. This helps management departments scientifically set safe viewing distances and zones, effectively reducing the risks associated with underestimating splash height. This embodiment reveals the significant impact of revetment surface roughness Δ on splash height, further providing a new optimization dimension for revetment design in tidal bore sections, especially near-shore or densely populated areas. It allows for the conscious selection or design of surface textures to balance energy dissipation and splash control while meeting structural safety and ecological environmental requirements, achieving multi-objective optimization of safety, landscape, and ecology.

[0073] Example 3:

[0074] In Example 1, the oblique effect of tidal surge is determined solely by empirical coefficients. The (0.6~1.0) range is a restrictive generalization, lacking clear physical correlation and continuous mathematical expression, which may amplify calculation errors when the tidal bore propagation direction is not normal (i.e., the angle θ≠0° between the measured tidal bore propagation direction and the normal to the embankment). When the tidal bore impacts obliquely, only the normal component of its kinetic energy drives the water to climb up the slope, while its tangential component causes the water to flow along the embankment line. Therefore, the original coefficients... It fails to accurately reflect the physical nature of this energy decomposition.

[0075] First, modify equation (2) to equation (2a):

[0076] (2a)

[0077] Combining equation (2a) and equation (3), we obtain equation (4a):

[0078] (4a)

[0079] Substituting equation (1) into equation (4a), we establish a dimensionally harmonious formula for calculating the relative rise of tidal bore, namely equation (5a):

[0080] (5a)

[0081] in, , For about The function.

[0082] Based on the above considerations, the climbing height of θ After refinement Model:

[0083] (6a)

[0084] Among them, A and B are related to The parameters of the associated function represent the weights of the kinetic energy term and the potential energy term in the total energy, respectively. A can be 0.75 and B can be 0.25.

[0085] Therefore, a concise approximation is obtained:

[0086] (7a)

[0087] The angle between the direction of the tidal bore propagation and the normal to the revetment was obtained by on-site observation or experimental measurement. The revetment was a smooth concrete slope with a slope ratio of m=2.0, β≈26.6°, a water depth d=2m before the tide, and a tidal bore height H=1.5m.

[0088] Calculated using equation (1) ≈6.87m / s.

[0089] The model was calibrated through a specific experiment. The calculation yields: .

[0090] Through equation (6) Replace K θ =1.0, and the calculated R≈4.53m. Without considering the oblique angle correction, i.e., taking K... θ =1.0 The calculated value is R≈5.04m. Refinement is then applied. After modeling, the calculated results decreased by approximately 10%, which better reflects the physical reality of reduced climb height during oblique impacts. Verification using field observation data shows that the calculated results in this embodiment agree more closely with the measured values.

[0091] Example 4:

[0092] A computer-readable storage medium is also provided, which stores a computer program that can be executed by a processor. When the computer program is executed by the processor, it runs the aforementioned calculation method for tidal surge height under single-slope conditions and can achieve the same technical effect. To avoid repetition, this embodiment will not elaborate further.

[0093] Example 5:

[0094] A computer device includes a memory, a processor, a communication interface, and a communication bus; wherein the memory, processor, and communication interface communicate with each other through the communication bus; the memory is used to store computer programs; the processor is used to execute the computer programs stored in the memory, and when the processor executes the computer programs, it implements the aforementioned calculation method for tidal surge height under single-slope conditions and can achieve the same technical effect. To avoid repetition, this embodiment will not elaborate further.

[0095] Computer-readable media include both permanent and non-permanent, removable and non-removable media, and information storage can be achieved by any method or technology. Information can be computer-readable instructions, data structures, program modules, or other data.

[0096] The conventional techniques described in the above embodiments are existing technologies known to those skilled in the art, and therefore will not be described in detail here.

[0097] The specific embodiments described herein are merely illustrative of the spirit of the invention. Those skilled in the art to which this invention pertains may make various modifications or additions to the described specific embodiments or use similar methods to substitute them, without departing from the spirit of the invention or exceeding the scope defined by the appended claims.

[0098] Although the present invention has been described in detail and specific embodiments have been cited, it will be apparent to those skilled in the art that various changes or modifications can be made without departing from the spirit and scope of the invention.

[0099] All matters not covered in this invention are common knowledge.

Claims

1. A method for calculating tidal bore run-up under single-slope conditions, characterized in that... Includes the following steps: Obtain the pre-tidal water depth, tidal height, and embankment slope angle of the incident tidal bore; The relative propagation speed of the tidal bore is calculated from the pre-tidal water depth and the tidal bore height. Establish formulas for calculating the total energy of the tidal bore before injection and for calculating the energy of the tidal bore when it reaches its maximum height. Based on the approximate conservation of energy in the physical processes before and after the tidal bore rises, an energy conservation equation and a dimensionally harmonious formula for calculating the relative tidal bore rise are established. Using indoor test results and field data, the effects of different embankment slope angles, revetment materials, tidal bore and embankment longitudinal axis were calibrated, and the tidal bore run-up calculation formula under single slope conditions was obtained to calculate the tidal bore run-up. The formula for calculating the relative run-up of tidal bore in the dimensionally harmonious form is: in, The rise of the tidal bore foundation is not considered for the bottom slope effect; d is the water depth before the tide; H is the tidal bore height; The value is the water distribution morphology coefficient after climbing, ranging from 0.1 to 0.33; The formula for calculating the tidal bore run-up under the single-slope condition is as follows: in, This refers to the tidal bore climbing under single-slope conditions. The roughness and permeability coefficient of the material of the embankment slope protection structure ranges from 0.2 to 1.0; The oblique influence coefficient of tidal bore has a value range of 0.6 to 1.0; The value is the water distribution morphology coefficient after climbing, ranging from 0.1 to 0.33; m is the tidal bore slope ratio. β is the slope angle of the embankment; H is the tidal surge height; d is the water depth before the tide.

2. The method according to claim 1, characterized in that: The formula for calculating the relative propagation speed of the tidal bore, derived from the pre-tidal water depth and tidal bore height, is as follows: in, denoted as tidal bore relative propagation velocity; g as gravitational acceleration; H as tidal bore height; and d as pre-tidal depth.

3. The method according to claim 1, characterized in that: When formulating the energy calculation formula for the water body when the tidal bore reaches its maximum height, the velocity is zero, and friction and turbulent dissipation are ignored.

4. The method according to claim 1, characterized in that: The formula for calculating the total energy of the tidal bore before injection is: in, , ρ represents the unit kinetic energy and potential energy of the incident tidal bore, respectively; H is the tidal bore height; ρ is the density of the water. d represents the relative propagation speed of the tidal bore; d represents the water depth in front of the tide; and z represents the integral variable of the tidal bore height.

5. The method according to claim 1, characterized in that: The formula for calculating the water energy when the tidal bore reaches its maximum height is: in, , denoted as kinetic energy and potential energy per unit when the tidal bore reaches its maximum position, respectively; ρ is the density of the water; z is the integral variable of the tidal bore height. For tidal bore foundation elevation without considering bottom slope effect; The value is the water distribution morphology coefficient after climbing, ranging from 0.1 to 0.

33.

6. The method according to claim 1, characterized in that: Splash run-up is calculated based on tidal run-up using the following formula: Among them, R s R represents the splash run-up considering the splash effect; Δ represents the tidal run-up under single-slope conditions; Δ represents the absolute surface roughness of the revetment slope protection structure; d is the pre-tidal water depth; H is the tidal height; a, b, and c are dimensionless empirical coefficients calibrated through systematic flume impact tests, a = 0.2–0.4, b = 0.1–0.3, and c = 0.5–0.

7.

7. A computer device, the computer device comprising a memory, a processor, a communication interface, and a communication bus; wherein, The memory, processor, and communication interface communicate with each other through the communication bus; the memory is used to store computer programs; the processor is used to execute the computer programs stored in the memory, characterized in that: when the processor executes the computer programs, it implements the calculation method for tidal surge height under single-slope conditions as described in any one of claims 1 to 6.

8. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by the processor, it implements the calculation method for tidal surge rise under single-slope conditions as described in any one of claims 1 to 6.

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