Multi-landform parameter empirical formula region synthesis method, system, equipment and medium

Abstract

The invention relates to the technical field of regional synthesis, and discloses a multi-landform parameter empirical formula regional synthesis method, system and device and a medium, and the method comprises the steps: obtaining the basic information of hydrological sites of a research region, and constructing a regional result table according to the basic information of the hydrological sites; using a preset empirical formula general equation to construct a general equation set corresponding to the regional result table; generating a target general equation of the research area according to the general equation set; obtaining landform influence parameters of an actual area, and constructing a landform parameter feature combination of the landform influence parameters; and calculating a formula parameter fitting degree of the landform parameter feature combination by using the target general formula, and determining a regional comprehensive empirical formula according to the formula parameter fitting degree. According to the method, quantitative expression of the specific actual region flood peak flow and various landform parameter characteristics can be achieved, and accurate and effective design flood calculation is achieved.

Description

Technical Field

[0001] This invention relates to the field of regional integration technology, specifically to an empirical formula-based regional integration method, system, equipment, and medium for multiple geomorphic parameters. Background Technology

[0002] Design flood calculation is the calculation work of analyzing the statistical laws of floods based on the watershed hydrological data, and determining the specific flood (such as design peak flow and design flood hydrograph) to be used in the engineering design. It is an indispensable part of water conservancy project construction and a necessary prerequisite for ensuring the safe operation of water conservancy projects and realizing their expected benefits.

[0003] While the density of hydrological station networks is continuously increasing, some small and medium-sized rivers lack data for design flood calculations due to the short construction period of stations or the absence of control stations. Therefore, empirical formulas integrating regional geomorphic parameters are often used for calculations. However, due to relatively underdeveloped information technology, these empirical formulas rely primarily on manual calculations, have a limited number of parameters, are relatively simple to calculate, and exhibit relatively poor fitting results. With the continuous development of information technology and its maturing application in hydrological calculations, the technical conditions are now in place for integrating empirical formulas with multiple geomorphic parameters across regional areas.

[0004] However, existing technologies mainly rely on fitting single or two geomorphic parameters with fixed relationships to calculate design floods, resulting in a limited number of parameters involved in regional integration and thus relatively poor fitting results. Therefore, how to accurately calculate empirical formulas based on multiple geomorphic parameters to improve the effectiveness of design flood calculations before the construction of water conservancy projects and ensure safer and more efficient operation of water conservancy projects has become an urgent problem to be solved. Summary of the Invention

[0005] The technical problem to be solved by this invention is how to improve the efficiency and accuracy of regional integration of empirical formulas for multiple geomorphic parameters.

[0006] The present invention solves the above-mentioned technical problems through the following technical means: Obtain basic information on hydrological stations in the study area, and construct a regional results table for each hydrological station based on the basic information on the hydrological stations. A set of general equations corresponding to the regional results table is constructed using preset empirical formulas and general equations. Fitting parameters of the empirical formula general equations to the general equations of the general equations, calculating the fit degree of the fitting parameters, and generating the target general equations for the study area based on the fit degree; Obtain the geomorphic influence parameters of the actual area, and construct the geomorphic parameter feature combination of the geomorphic influence parameters; The formula parameter fitting degree of the combination of geomorphic parameter features is calculated using the target general formula, and the regional comprehensive empirical formula of the actual area is determined based on the formula parameter fitting degree.

[0007] Optionally, the step of constructing a regional results table for each hydrological station based on the basic information of the hydrological stations includes: Construct a basic information table for hydrological stations based on their basic information. A flood peak flow alignment result table is constructed based on the basic information of the hydrological stations. Based on the basic information of the hydrological stations, a table of watershed geomorphological parameters for the hydrological stations is constructed. The basic information table of water level stations, the peak flow line results table, and the watershed geomorphological parameter results table are correlated with hydrological stations to obtain a regional results table for each hydrological station.

[0008] Optionally, the step of constructing a set of general equations corresponding to the regional results table using preset empirical formula general equations includes: The general equation of the empirical formula is transformed into a multivariate first-order linear equation; The parameters of the multivariate first-order linear equation are assigned based on the geomorphic parameters of each hydrological station in the regional results table to obtain the assigned equation. By compiling the assigned equations, a general set of equations corresponding to the regional results table is obtained.

[0009] Optionally, the fitting parameters for fitting the empirical formula general equations based on the general equation system include: By applying pre-constructed constraints to the general system of empirical formulas, constraint equations are obtained. Construct the design matrix of the general equation set based on the constraint equations; The design matrix is ​​decomposed into orthogonal triangular components to obtain the fitting parameters of the general equation of the empirical formula.

[0010] Optionally, calculating the goodness of fit of the fitting parameters includes: Construct the fitting general equation corresponding to the empirical formula general equation based on the fitting parameters; The predicted peak flow of the hydrological station is calculated using the fitted general equation; Calculate the residual sum of squares and the total sum of squares of deviations of the fitted parameters based on the predicted peak flow. The goodness of fit corresponding to the fitting parameters is calculated based on the sum of squared residuals and the sum of squared total deviations.

[0011] Optionally, the step of constructing the geomorphic parameter feature combination of the geomorphic influence parameters includes: Based on the aforementioned geomorphic influence parameters, enumerate different combinations of geomorphic parameters; The combination of geomorphic parameters is deduplicated to obtain the combination of geomorphic parameter features.

[0012] Optionally, calculating the formula parameter fitting degree of the geomorphic parameter feature combination using the target general formula includes: The parametric feature equation of each geomorphic parameter feature in the combination of geomorphic parameter features is constructed using the general equation of the empirical formula; Calculate the dependent variable corresponding to the parameter characteristic equation according to the target general formula; Construct a set of parametric equations corresponding to the geomorphic parameter characteristics based on the dependent variable; The formula parameter fit degree corresponding to each geomorphic parameter feature in the geomorphic parameter feature combination is calculated based on the parametric equation set.

[0013] To address the aforementioned problems, this invention also proposes an empirical formula-based regional integration system for multiple geomorphic parameters, the system comprising: The regional results table construction module is used to obtain basic information of hydrological stations in the study area and construct a regional results table for each hydrological station based on the basic information of the hydrological stations. The general equation system construction module is used to construct the general equation system corresponding to the regional result table using preset empirical formula general equations. The target general equation generation module is used to fit the fitting parameters of the empirical formula general equation according to the general equation set, calculate the fitting degree of the fitting parameters, and generate the target general equation of the study area according to the fitting degree. The geomorphic parameter feature combination construction module is used to obtain geomorphic influence parameters of the actual area and construct geomorphic parameter feature combinations of the geomorphic influence parameters. The regional comprehensive empirical formula determination module is used to calculate the formula parameter fitting degree of the combination of geomorphic parameter features using the target general formula, and determine the regional comprehensive empirical formula of the actual area based on the formula parameter fitting degree.

[0014] The present invention also provides a processing device, characterized in that it includes at least one processor and at least one memory communicatively connected to the processor, wherein: the memory stores program instructions executable by the processor, and the processor can execute the above-mentioned method for regional synthesis of empirical formulas for multiple topographic parameters by calling the program instructions.

[0015] The present invention also provides a computer-readable storage medium, characterized in that the computer-readable storage medium stores computer instructions, the computer instructions causing the computer to execute the above-mentioned method for regional synthesis of empirical formulas for multiple topographic parameters.

[0016] The advantages of this invention are: This invention, by constructing a regional results table, can quickly obtain basic information of each hydrological station, improving the efficiency of subsequent construction of a general equation set. By constructing a general equation set corresponding to the regional results table and generating a target general equation for the study area based on the fit of the general equation set, the optimal equation under the geomorphic parameter conditions of the study area can be obtained. By acquiring geomorphic influence parameters of the actual area and constructing geomorphic parameter feature combinations, the number of geomorphic influence parameters can be determined based on the actual area, more closely approximating the geographical background of the actual area and effectively improving the accuracy of the regional comprehensive empirical formula calculation. Furthermore, by using the target general formula to calculate the formula parameter fit of the geomorphic parameter feature combination, and determining the regional comprehensive empirical formula based on the formula parameter fit, it is possible to achieve a quantitative expression of peak flood flow and multiple geomorphic parameter characteristics in a specific actual area, realizing accurate and effective design flood calculation. Attached Figure Description

[0017] Figure 1 This is a flowchart illustrating an empirical formula-based regional synthesis method for multiple geomorphic parameters in one embodiment of the present invention. Figure 2 This is a schematic diagram of the study area, the return period of the peak flow, and the selection of geomorphological parameters provided in one embodiment of the present invention; Figure 3 This is a schematic diagram of the associated hydrological stations in the research area provided in one embodiment of the present invention; Figure 4 This is a detailed information diagram of hydrological stations associated with station codes provided in one embodiment of the present invention; Figure 5 This is a schematic diagram of the result when the fitting parameters of the general equation of the calculation empirical formula provided in one embodiment of the present invention are optimal; Figure 6 This is a schematic diagram showing the result of calculating the fitting degree of geomorphic parameter features according to one embodiment of the present invention; Figure 7 This is a functional module diagram of an empirical formula regional integration system for multiple geomorphic parameters provided in one embodiment of the present invention. Detailed Implementation

[0018] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below in conjunction with the embodiments of the present invention. Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0019] Reference Figure 1The diagram shown is a flowchart illustrating a regional synthesis method using empirical formulas for multiple geomorphic parameters according to an embodiment of the present invention. In this embodiment, the regional synthesis method using empirical formulas for multiple geomorphic parameters includes: S1. Obtain basic information on hydrological stations in the study area, and construct a regional results table for each hydrological station based on the basic information on the hydrological stations.

[0020] In this embodiment of the invention, the study area is the geographical space surrounding the flood, which can be the entire catchment area from the river source to the river mouth, and is used for research on flood patterns and watershed flood control planning.

[0021] Specifically, the basic information of hydrological stations includes the station name, station code, longitude, latitude, geomorphological parameters, and peak flow corresponding to different return periods (1%, 2%, 5%, 10%, 20%, 50%) of the associated hydrological stations in the study area.

[0022] Reference Figure 2 The diagram shows the study area, the return period of peak flow, and the selection of geomorphological parameters.

[0023] For example, a schematic diagram of the associated hydrological stations in the study area can be shown as follows: Figure 3 As shown, Figure 3 It includes a list of associated hydrological stations and a list of unassociated hydrological stations in the study area.

[0024] In detail, the step of constructing a regional results table for each hydrological station based on the basic information of the hydrological stations includes: Construct a basic information table for hydrological stations based on their basic information. A flood peak flow alignment result table is constructed based on the basic information of the hydrological stations. Based on the basic information of the hydrological stations, a table of watershed geomorphological parameters for the hydrological stations is constructed. The basic information table of water level stations, the peak flow line results table, and the watershed geomorphological parameter results table are correlated with hydrological stations to obtain a regional results table for each hydrological station.

[0025] In this embodiment of the invention, the basic information table of hydrological stations is a basic attribute table for each hydrological station, which includes fields such as station code, station name, longitude, and latitude. The basic information of hydrological stations can be filled into the table structure according to the preset table structure to obtain the basic information table of hydrological stations.

[0026] For example, the basic information table of hydrological stations can be shown in Table 1 below; Table 1

[0027] Furthermore, the flood peak flow alignment results table stores the flood peak alignment results for each hydrological station in the study area, including station code, alignment peak flow corresponding to different return periods (1%, 2%, 5%, 10%, 20%, 50%), and other fields.

[0028] The detailed results of the flood peak flow alignment are shown in Table 2 below: Table 2

[0029] In detail, the watershed geomorphological parameter result table stores the watershed geomorphological parameters of each hydrological station, including fields such as hydrological station code, watershed area (F), average watershed slope (JB), average slope of the main channel of the watershed (JM), and watershed shape coefficient (f). The watershed geomorphological parameters can be filled into the corresponding table structure to obtain the watershed geomorphological parameter result table.

[0030] For example, the results of watershed geomorphological parameters can be shown in Table 3 below: Table 3

[0031] In this embodiment of the invention, the relationship between the basic information table of water level stations, the peak flow fitting result table, and the watershed geomorphological parameter result table of each hydrological station in the associated study area is established. For example, an index is constructed based on the basic information such as the hydrological station code of the hydrological station. The basic information of each hydrological station can be obtained from the basic information table of hydrological stations, the peak flow fitting result table, and the watershed geomorphological parameter result table to obtain the regional result table, thereby improving the efficiency of subsequent construction of a general equation set.

[0032] Reference Figure 4 As shown, this is a detailed map of hydrological stations in the study area after the station codes have been identified, the return period and geomorphological parameters have been selected, and the stations are associated with them.

[0033] S2. Construct a set of general equations corresponding to the regional results table using preset empirical formulas and general equations.

[0034] In this embodiment of the invention, the preset empirical formula general equation refers to the standardized mathematical expression for calculating peak flow. The independent variables in the empirical formula general equation include geomorphic parameters such as watershed area, average watershed slope, average slope of the main channel of the watershed, and watershed shape coefficient. Each geomorphic parameter is set with a corresponding fitting parameter.

[0035] Specifically, the general equation of the empirical formula can be expressed as:

[0036] in, This represents the general equation of empirical formulas. , , These represent the preset fitting parameters. , They represent geomorphic parameters, This represents the total number of geomorphic parameters.

[0037] Specifically, the step of constructing a set of general equations corresponding to the regional results table using preset empirical formula general equations includes: The general equation of the empirical formula is transformed into a multivariate first-order linear equation; The parameters of the multivariate first-order linear equation are assigned based on the geomorphic parameters of each hydrological station in the regional results table to obtain the assigned equation. By compiling the assigned equations, a general set of equations corresponding to the regional results table is obtained.

[0038] Specifically, taking the logarithm of both sides of the empirical formula general equation can transform the empirical formula general equation into a multivariate first-order linear equation.

[0039] For example, a multivariate first-order linear equation can be expressed as:

[0040] In detail, the geomorphic parameters and corresponding peak flow of each hydrological station in the regional results table are substituted into the multivariate first-order linear equation to obtain the assigned equation for each hydrological station. Each assigned equation is then summarized to obtain a general equation set composed of multiple assigned equations.

[0041] S3. Fit the fitting parameters of the empirical formula general equations according to the general equation set, calculate the fitting degree of the fitting parameters, and generate the target general equation for the study area based on the fitting degree.

[0042] In this embodiment of the invention, the fitting parameters are obtained by estimating the parameters of the general equation system to obtain the optimal fitting parameters of the empirical formula general equation.

[0043] Further, the fitting parameters for fitting the empirical formula general equations based on the general equation system include: By applying pre-constructed constraints to the general system of empirical formulas, constraint equations are obtained. Construct the design matrix of the general equation set based on the constraint equations; The design matrix is ​​decomposed into orthogonal triangular components to obtain the fitting parameters of the general equation of the empirical formula.

[0044] In this embodiment of the invention, parameter constraints are used to establish constraints on the fitting parameters of each geomorphic parameter. For example, geomorphic parameters such as watershed area, average watershed slope, average slope of the main channel of the watershed, and watershed shape coefficient are positively correlated with peak flood flow, and the fitting parameters should be greater than 0. Therefore, constraints on the fitting parameters are set in the general equation set of empirical formulas to obtain constraint equations.

[0045] Furthermore, the matrix dimension of the design matrix is ​​determined based on the number of hydrological stations and the number of fitting parameters in the study area. The number of rows in the design matrix is ​​equal to the number of hydrological stations, and the number of columns is equal to the number of fitting parameters plus the number of intercept terms. For example, if the number of hydrological stations is n and the number of fitting parameters is m, then the matrix dimension of the design matrix is ​​[n, m+1], with all values ​​in the first column being 1, and the values ​​in the second to (m+1)th columns being the values ​​of different geomorphic parameters.

[0046] Specifically, orthogonal triangular decomposition decomposes the design matrix into an n×(m+1) orthogonal matrix Q and an (m+1)×(m+1) upper triangular matrix R. Based on the decomposed orthogonal matrix Q and upper triangular matrix R, the least squares method can be transformed into solving the upper triangular equation system RB=C, where C represents the product of the transpose of the orthogonal matrix Q and the matrix vector composed of the peak flow, and B represents the matrix vector composed of the fitting parameters. Therefore, the matrix vector B composed of the fitting parameters can be obtained as follows: .

[0047] In this embodiment of the invention, the fit degree represents the difference between the predicted value and the true value of the empirical formula general equation after the fitting parameters are assigned to them. The fitting effect of the fitting parameters can be analyzed based on the fit degree, and then the fitting parameters can be optimized to obtain a more accurate target general equation.

[0048] Specifically, calculating the goodness of fit of the fitting parameters includes: Construct the fitting general equation corresponding to the empirical formula general equation based on the fitting parameters; The predicted peak flow of the hydrological station is calculated using the fitted general equation; Calculate the residual sum of squares and the total sum of squares of deviations of the fitted parameters based on the predicted peak flow. The goodness of fit corresponding to the fitting parameters is calculated based on the sum of squared residuals and the sum of squared total deviations.

[0049] In this embodiment of the invention, the fitting parameters are assigned to the general empirical equation to obtain the general fitting equation. The geomorphic parameter values ​​of each hydrological station are then substituted into the general fitting equation to obtain the predicted peak flow for each hydrological station. The sum of squared residuals and the total sum of squared deviations between the predicted and actual peak flows for all hydrological stations are calculated. The actual peak flow for each hydrological station is the measured peak flow collected from the actual peak flows mentioned above.

[0050] In detail, the sum of squared residuals and the sum of squared total deviations of the fitted parameters can be calculated using the following formulas:

[0051] in, This represents the sum of squared residuals of the fitted parameters. Indicates the first The actual peak flow at each hydrological station Indicates the first Predicted peak flood flow at each hydrological station, This indicates the total number of hydrological stations. This represents the total sum of squared deviations of the fitted parameters. This represents the average value of the actual peak flow at the hydrological station.

[0052] Furthermore, the goodness of fit is calculated using the following formula:

[0053] in, Indicates the goodness of fit. This represents the sum of squared residuals of the fitted parameters. This represents the sum of squared residuals of the fitted parameters.

[0054] In detail, the goodness of fit ranges from 0 to 1. The larger the goodness of fit value, the better the fit of the fitting parameters, and the closer the predicted peak flow calculated by the general equation corresponding to the fitting parameters is to the true value. Conversely, the smaller the goodness of fit value, the worse the fit of the fitting parameters, and the greater the gap between the predicted peak flow calculated by the general equation corresponding to the fitting parameters and the true value.

[0055] In this embodiment of the invention, it is possible to calculate whether the goodness of fit is greater than a preset goodness of fit threshold. If the goodness of fit is less than or equal to the goodness of fit threshold, the steps described above for performing orthogonal triangular decomposition on the design matrix to obtain the fitting parameters of the empirical formula general equation are returned. The fitting parameters are iterated until the goodness of fit of the fitting parameters is greater than the goodness of fit threshold to obtain the target fitting parameters. Alternatively, the general equation system can be fitted a preset number of times to obtain the target fitting parameters. The target fitting parameters are then substituted into the empirical formula general equation to obtain the target general equation.

[0056] Reference Figure 5 As shown, these are the target fitting parameters when geomorphic parameters such as watershed area, average watershed slope, average slope of the main channel of the watershed, and watershed shape coefficient are selected as geomorphic influence parameters.

[0057] In detail, by constructing a target general equation for the study area, the optimal equation for the study area under geomorphic parameter conditions such as watershed area, average watershed slope, average slope of the main channel of the watershed, and watershed shape coefficient can be obtained, which provides a basis for subsequent calculation of the formula parameter fitting degree of different geomorphic parameter feature combinations.

[0058] S4. Obtain the geomorphic influence parameters of the actual area and construct the geomorphic parameter feature combination of the geomorphic influence parameters.

[0059] In this embodiment of the invention, the actual area refers to the catchment area where peak flow prediction is actually required. It encompasses the total land area where rainwater flows into hydrological stations (such as hydrological stations, reservoir dam sites, and bridge cross-sections) after precipitation, via surface runoff and groundwater runoff. Geomorphological influence parameters are key geomorphological parameters affecting the peak flow of the actual area. For example, geomorphological parameters such as the catchment area, average slope, average slope of the main channel, and shape coefficient of the actual area are used as geomorphological influence parameters. The actual area may include multiple hydrological stations, with the number of hydrological stations exceeding the number of geomorphological influence parameters.

[0060] Specifically, the construction of the geomorphic parameter feature combination of the geomorphic influence parameters includes: Based on the aforementioned geomorphic influence parameters, enumerate different combinations of geomorphic parameters; The combination of geomorphic parameters is deduplicated to obtain the combination of geomorphic parameter features.

[0061] In this embodiment of the invention, geomorphic parameter combinations with different numbers of parameters are enumerated from the geomorphic influence parameters. For example, if the geomorphic influence parameters are watershed area, average watershed slope, average slope of the main channel of the watershed, and watershed shape coefficient, then when the number combination is 1, the geomorphic parameter combination with the number combination of 1 is [watershed area, average watershed slope, average slope of the main channel of the watershed, watershed shape coefficient], and so on. The geomorphic parameter combination with the number combination of 2 is [watershed area + average watershed slope, watershed area + average slope of the main channel, watershed area + watershed shape coefficient, average watershed slope + average slope of the main channel, average watershed slope + watershed shape coefficient, average slope of the main channel + watershed shape coefficient].

[0062] Furthermore, during the enumeration process, duplicates may occur. For example, a geomorphic parameter combination with a quantity of 2 may simultaneously include both watershed area + average watershed slope and average watershed slope + watershed area. However, in flood peak flow prediction, the order of geomorphic parameters in the geomorphic parameter combination does not affect the result. Therefore, it is necessary to remove duplicate geomorphic parameter features from the geomorphic parameter combination to obtain non-duplicate geomorphic parameter feature combinations under different quantity combinations.

[0063] In this embodiment of the invention, by constructing a combination of geomorphic parameter features, the number of geomorphic influence parameters can be determined based on the actual region, which is closer to the geographical background of the actual region and effectively improves the accuracy of the calculation of the regional comprehensive empirical formula.

[0064] S5. Calculate the formula parameter fitting degree of the geomorphic parameter feature combination using the target general formula, and determine the regional comprehensive empirical formula of the actual area based on the formula parameter fitting degree.

[0065] In this embodiment of the invention, the fitting degree of each geomorphic parameter feature in the geomorphic parameter feature combination is calculated according to the target general formula to obtain the formula parameter fitting degree. The accuracy of flood peak flow prediction for different geomorphic parameter features is analyzed by the formula parameter fitting degree, and then the regional comprehensive empirical formula for the actual area is obtained.

[0066] Reference Figure 6 As shown, this represents the result of calculating the feature fit of the geomorphic parameters when the geomorphic influence parameters include four geomorphic parameters.

[0067] Specifically, the step of calculating the formula parameter fitting degree of the geomorphic parameter feature combination using the target general formula includes: The parametric feature equation of each geomorphic parameter feature in the combination of geomorphic parameter features is constructed using the general equation of the empirical formula; Calculate the dependent variable corresponding to the parameter characteristic equation according to the target general formula; Construct a set of parametric equations corresponding to the geomorphic parameter characteristics based on the dependent variable; The formula parameter fit degree corresponding to each geomorphic parameter feature in the geomorphic parameter feature combination is calculated based on the parametric equation set.

[0068] In this embodiment of the invention, the geomorphic influence parameters included in each parameter characteristic equation are substituted into the general empirical formula equation. If a certain geomorphic influence parameter is not selected, its corresponding exponent can be considered as 0 and substituted into subsequent calculations to obtain the parameter characteristic equation of each geomorphic parameter feature.

[0069] Furthermore, the geomorphic influence parameter values ​​in the characteristic equation of each parameter are substituted into the target general formula to obtain the predicted value of each hydrological station in the actual area as the dependent variable. If a geomorphic influence parameter is not selected, the fitting parameter corresponding to the target general formula is zero.

[0070] In this embodiment of the invention, the fitting parameters of the general empirical formula can be fitted according to the general equation set, and the fitting degree of the fitting parameters can be calculated to calculate the fitting degree of the formula parameters corresponding to each geomorphic parameter feature. The formula parameter with the largest fitting degree is selected and substituted into the corresponding parameter equation set to obtain the optimal empirical formula for the study area, that is, the regional comprehensive empirical formula for the actual area.

[0071] For example, the combination of geomorphic parameter features includes =15 geomorphic parameter features, 15 parameter feature equations are constructed, the parameter fit degree of each parameter feature equation is calculated, and the parameter feature equation with the largest parameter fit degree is selected as the regional comprehensive empirical formula for the actual area.

[0072] Preferably, the calculation of the regional comprehensive empirical formula can be performed manually, for example, by determining the actual region and associated hydrological stations, and obtaining the number of stations N; S3202: Determine the design flood return period for parameter estimation, as well as the types and number M of watershed geomorphological parameters participating in the parameter estimation. Parameters are estimated based on the empirical formula of the general equation, yielding the parameters of the general equation and the goodness of fit R². S3203: Determine whether to calculate the number of other geomorphic parameters. If "No", the calculation result is the optimal empirical formula; if "Yes", repeat S3202. S3204: Compare the R2 calculation results of different landform parameter types. The empirical formula equation corresponding to the largest fit R2 is the optimal empirical formula.

[0073] In this embodiment of the invention, by calculating the regional comprehensive empirical formula for the actual area, the optimal regional comprehensive empirical formula can be calculated based on the actual landform of the actual area, thereby realizing the quantitative expression of the peak flow and various geomorphic parameter characteristics of a specific actual area, solving the design flood problem in areas without data, and achieving accurate and effective design flood calculation.

[0074] like Figure 7 The diagram shown is a functional block diagram of an empirical formula regional integration system for multiple geomorphic parameters provided in an embodiment of the present invention.

[0075] The empirical formula regional integration system 100 for multiple geomorphic parameters described in this invention can be installed in a processing device. Depending on the functions implemented, the empirical formula regional integration system 100 may include a regional result table construction module 101, a general equation system construction module 102, a target general equation generation module 103, a geomorphic parameter feature combination construction module 104, and a regional integrated empirical formula determination module 105. The module described in this invention can also be referred to as a unit, which refers to a series of computer program segments that can be executed by an electronic device processor and perform a fixed function, stored in the memory of the electronic device.

[0076] In this embodiment, the functions of each module / unit are as follows: The regional results table construction module 101 is used to obtain basic information of hydrological stations in the study area and construct a regional results table for each hydrological station based on the basic information of the hydrological stations. The general equation system construction module 102 is used to construct the general equation system corresponding to the regional result table using preset empirical formula general equations. The target general equation generation module 103 is used to fit the fitting parameters of the empirical formula general equation according to the general equation set, calculate the fitting degree of the fitting parameters, and generate the target general equation of the study area according to the fitting degree. The geomorphic parameter feature combination construction module 104 is used to obtain geomorphic influence parameters of the actual area and construct geomorphic parameter feature combinations of the geomorphic influence parameters. The regional comprehensive empirical formula determination module 105 is used to calculate the formula parameter fitting degree of the geomorphic parameter feature combination using the target general formula, and determine the regional comprehensive empirical formula of the actual area based on the formula parameter fitting degree.

[0077] As a further preferred technical solution, the regional results table construction module 101 is specifically used for: Construct a basic information table for hydrological stations based on their basic information. A flood peak flow alignment result table is constructed based on the basic information of the hydrological stations. Based on the basic information of the hydrological stations, a table of watershed geomorphological parameters for the hydrological stations is constructed. The basic information table of water level stations, the peak flow line results table, and the watershed geomorphological parameter results table are correlated with hydrological stations to obtain a regional results table for each hydrological station.

[0078] As a further preferred technical solution, the general equation system construction module 102 is specifically used for: The general equation of the empirical formula is transformed into a multivariate first-order linear equation; The parameters of the multivariate first-order linear equation are assigned based on the geomorphic parameters of each hydrological station in the regional results table to obtain the assigned equation. By compiling the assigned equations, a general set of equations corresponding to the regional results table is obtained.

[0079] As a further preferred technical solution, the target general equation generation module 103 is specifically used for: By applying pre-constructed constraints to the general system of empirical formulas, constraint equations are obtained. Construct the design matrix of the general equation set based on the constraint equations; The design matrix is ​​decomposed into orthogonal triangular components to obtain the fitting parameters of the general equation of the empirical formula.

[0080] As a further preferred technical solution, the target general equation generation module 103 is specifically used for: Construct the fitting general equation corresponding to the empirical formula general equation based on the fitting parameters; The predicted peak flow of the hydrological station is calculated using the fitted general equation; Calculate the residual sum of squares and the total sum of squares of deviations of the fitted parameters based on the predicted peak flow. The goodness of fit corresponding to the fitting parameters is calculated based on the sum of squared residuals and the sum of squared total deviations.

[0081] As a further preferred technical solution, the geomorphic parameter feature combination construction module 104 is specifically used for: Based on the aforementioned geomorphic influence parameters, enumerate different combinations of geomorphic parameters; The combination of geomorphic parameters is deduplicated to obtain the combination of geomorphic parameter features.

[0082] As a further preferred technical solution, the regional comprehensive empirical formula determination module 105 is specifically used for: The parametric feature equation of each geomorphic parameter feature in the combination of geomorphic parameter features is constructed using the general equation of the empirical formula; Calculate the dependent variable corresponding to the parameter characteristic equation according to the target general formula; Construct a set of parametric equations corresponding to the geomorphic parameter characteristics based on the dependent variable; The formula parameter fit degree corresponding to each geomorphic parameter feature in the geomorphic parameter feature combination is calculated based on the parametric equation set.

[0083] In the description of this specification, references to terms such as "one embodiment," "some embodiments," "example," "specific example," or "some examples," etc., indicate that a specific feature, structure, material, or characteristic described in connection with that embodiment or example is included in at least one embodiment or example of the invention. In this specification, the illustrative expressions of the above terms do not necessarily refer to the same embodiment or example. Furthermore, the specific features, structures, materials, or characteristics described may be combined in any suitable manner in one or more embodiments or examples.

[0084] Furthermore, the terms "first" and "second" are used for descriptive purposes only and should not be construed as indicating or implying relative importance or implicitly specifying the number of technical features indicated. Thus, a feature defined as "first" or "second" may explicitly or implicitly include at least one of that feature. In the description of this invention, "a plurality of" means at least two, such as two, three, etc., unless otherwise explicitly specified.

[0085] The above embodiments are only used to illustrate the technical solutions of the present invention, and are not intended to limit it. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features. Such modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A regional synthesis method based on empirical formulas for multiple geomorphic parameters, characterized in that, include: Obtain basic information on hydrological stations in the study area, and construct a regional results table for each hydrological station based on the basic information on the hydrological stations. A set of general equations corresponding to the regional results table is constructed using preset empirical formulas and general equations. Fitting parameters of the empirical formula general equations to the general equations of the general equations, calculating the fit degree of the fitting parameters, and generating the target general equations for the study area based on the fit degree; Obtain the geomorphic influence parameters of the actual area, and construct the geomorphic parameter feature combination of the geomorphic influence parameters; The formula parameter fitting degree of the combination of geomorphic parameter features is calculated using the target general formula, and the regional comprehensive empirical formula of the actual area is determined based on the formula parameter fitting degree.

2. The empirical formula regional synthesis method for multiple geomorphic parameters as described in claim 1, characterized in that, The process of constructing a regional results table for each hydrological station based on the basic information of the hydrological stations includes: Construct a basic information table for hydrological stations based on their basic information. A flood peak flow alignment result table is constructed based on the basic information of the hydrological stations. Based on the basic information of the hydrological stations, a table of watershed geomorphological parameters for the hydrological stations is constructed. The basic information table of water level stations, the peak flow line results table, and the watershed geomorphological parameter results table are correlated with hydrological stations to obtain a regional results table for each hydrological station.

3. The empirical formula regional synthesis method for multiple geomorphic parameters as described in claim 1, characterized in that, The process of constructing a set of general equations corresponding to the regional results table using preset empirical formula general equations includes: The general equation of the empirical formula is transformed into a multivariate first-order linear equation; The parameters of the multivariate first-order linear equation are assigned based on the geomorphic parameters of each hydrological station in the regional results table to obtain the assigned equation. By compiling the assigned equations, a general set of equations corresponding to the regional results table is obtained.

4. The empirical formula regional synthesis method for multiple geomorphic parameters as described in claim 1, characterized in that, The fitting parameters for fitting the empirical formula general equations according to the general equation system include: By applying pre-constructed constraints to the general system of empirical formulas, constraint equations are obtained. Construct the design matrix of the general equation set based on the constraint equations; The design matrix is ​​decomposed into orthogonal triangular components to obtain the fitting parameters of the general equation of the empirical formula.

5. The empirical formula regional synthesis method for multiple geomorphic parameters as described in claim 1, characterized in that, The calculation of the goodness of fit of the fitting parameters includes: Construct the fitting general equation corresponding to the empirical formula general equation based on the fitting parameters; The predicted peak flow of the hydrological station is calculated using the fitted general equation; Calculate the residual sum of squares and the total sum of squares of deviations of the fitted parameters based on the predicted peak flow. The goodness of fit corresponding to the fitting parameters is calculated based on the sum of squared residuals and the sum of squared total deviations.

6. The empirical formula regional synthesis method for multiple geomorphic parameters as described in claim 1, characterized in that, The geomorphic parameter feature combination for constructing the geomorphic influence parameters includes: Based on the aforementioned geomorphic influence parameters, enumerate different combinations of geomorphic parameters; The combination of geomorphic parameters is deduplicated to obtain the combination of geomorphic parameter features.

7. The empirical formula regional synthesis method for multiple geomorphic parameters as described in claim 1, characterized in that, The step of calculating the formula parameter fitting degree of the combination of geomorphic parameter features using the target general formula includes: The parametric feature equation of each geomorphic parameter feature in the combination of geomorphic parameter features is constructed using the general equation of the empirical formula; Calculate the dependent variable corresponding to the parameter characteristic equation according to the target general formula; Construct a set of parametric equations corresponding to the geomorphic parameter characteristics based on the dependent variable; The formula parameter fit degree corresponding to each geomorphic parameter feature in the geomorphic parameter feature combination is calculated based on the parametric equation set.

8. A regional comprehensive system based on empirical formulas for multiple geomorphic parameters, characterized in that, include: The regional results table construction module is used to obtain basic information of hydrological stations in the study area and construct a regional results table for each hydrological station based on the basic information of the hydrological stations. The general equation system construction module is used to construct the general equation system corresponding to the regional result table using preset empirical formula general equations. The target general equation generation module is used to fit the fitting parameters of the empirical formula general equation according to the general equation set, calculate the fitting degree of the fitting parameters, and generate the target general equation of the study area according to the fitting degree. The geomorphic parameter feature combination construction module is used to obtain geomorphic influence parameters of the actual area and construct geomorphic parameter feature combinations of the geomorphic influence parameters. The regional comprehensive empirical formula determination module is used to calculate the formula parameter fitting degree of the combination of geomorphic parameter features using the target general formula, and determine the regional comprehensive empirical formula of the actual area based on the formula parameter fitting degree.

9. A processing device, characterized in that, It includes at least one processor and at least one memory communicatively connected to the processor, wherein: the memory stores program instructions executable by the processor, and the processor can execute the method as described in any one of claims 1-7 by invoking the program instructions.

10. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores computer instructions that cause the computer to perform the method as described in any one of claims 1-7.

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