Method and System for Determining the Relationship between Diffusion Coefficient and Reinforcement Cover Thickness of Offshore Pipe Piles
By establishing a chloride ion diffusion model, the relationship between the diffusion coefficient and the thickness of the steel reinforcement protective layer was analyzed, which solved the problem that the diffusion coefficient was not considered in the design of marine pipe piles, realized the scientific design of the steel reinforcement protective layer thickness, and improved the durability of marine pipe piles.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- GUANGXI SHUANGXIANG GEOTECHNICAL ENG CO LTD
- Filing Date
- 2023-11-29
- Publication Date
- 2026-06-30
AI Technical Summary
Existing technologies do not fully consider the influence of concrete diffusion coefficient in the design of concrete cover thickness for marine pipe piles, resulting in unscientific designs, especially in the unreasonable setting of concrete cover thickness in the tidal splash zone.
Based on Fick's second law, a chloride ion diffusion model is established. The relationship between the diffusion coefficient and the thickness of the concrete cover is obtained through analytical solutions. This provides a method and system for determining the relationship between the diffusion coefficient and the thickness of the concrete cover of marine pipe piles, including model establishment and relationship determination modules, to guide engineers in scientifically determining the thickness of the concrete cover.
By taking into account the influence of diffusion coefficient, the thickness of the steel reinforcement protective layer can be scientifically designed to improve the durability and reliability of marine pipe piles and avoid failure caused by chloride ion corrosion.
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Figure CN117626923B_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of steel reinforcement protective layer thickness design technology, specifically involving a method and system for determining the relationship between the diffusion coefficient of marine pipe piles and the steel reinforcement protective layer thickness. Background Technology
[0002] Offshore pipe piles, operating in marine environments, are highly susceptible to corrosion of their internal reinforcing steel bars if not properly protected, ultimately leading to the overall failure of the pile. In engineering, the reinforcing steel bars are often encased in concrete, with the outer portion of the concrete often referred to as the concrete cover. Generally, chloride ions in the marine environment must penetrate the concrete cover to reach the steel bars, and the chloride ion concentration at the steel bars must reach a threshold before they can corrode them. Therefore, the thickness of the concrete cover is crucial for protecting the reinforcing steel. Currently, the thickness of the concrete cover for offshore structures is often determined by specifications, but the importance of the concrete diffusion coefficient is often overlooked. The concrete diffusion coefficient relates to the diffusion rate of chloride ions within the concrete cover; a very low diffusion coefficient can reduce (or increase) the thickness of the concrete cover. Therefore, the thickness of the concrete cover and the diffusion coefficient are significantly correlated, and the design thickness of the concrete cover must be adjusted accordingly based on the diffusion coefficient.
[0003] The thickness of the concrete cover for offshore pipe pile reinforcement is often designed according to the "Code for Durability Design of Concrete Structures" GB / T50476-2019. However, a review of this code reveals no theoretical support for the design of the concrete cover thickness. When designing the concrete cover thickness for offshore pipe piles, the focus is often solely on the marine environment in which the piles are located. For example, the concrete cover thickness is set relatively small for piles in underwater areas, while it is often set relatively large for piles in tidal and splash zones. The influence of the diffusion coefficient on the concrete cover thickness is neglected. The concrete diffusion coefficient relates to the diffusion rate of chloride ions within the concrete cover. If the diffusion coefficient is extremely small, the concrete cover thickness can be reduced (or increased). Therefore, the concrete cover thickness and the diffusion coefficient are significantly correlated, and the concrete cover thickness value must be adjusted accordingly based on the diffusion coefficient when designing the concrete cover thickness.
[0004] Chloride ion transport models based on Fick's second law are often used to assess chloride ion diffusion in marine structures. These models can establish the relationship between the diffusion coefficient and the thickness of the steel reinforcement protective layer, thereby achieving the effect of scientifically designing the thickness of the steel reinforcement protective layer based on the diffusion coefficient. Summary of the Invention
[0005] This invention aims to address the shortcomings of existing technologies. It proposes a method and system for determining the relationship between the diffusion coefficient and the thickness of the concrete cover for marine pipe piles, addressing the current design limitations that do not adequately consider the influence of the diffusion coefficient. This method can guide engineers in scientifically determining the thickness of the concrete cover for pipe piles based on the pipe pile's diffusion coefficient.
[0006] To achieve the above objectives, the present invention provides the following solution:
[0007] A method for determining the relationship between the diffusion coefficient and the thickness of the concrete cover for marine pipe piles includes the following steps:
[0008] S1: Based on Fick's second law, a chloride ion diffusion model for newly constructed marine engineering pipe piles is established, and the diffusion model is analyzed to obtain an analytical solution;
[0009] S2: Based on the analytical solution, obtain the relationship between the diffusion coefficient of the newly built marine pipe pile and the thickness of the steel reinforcement protective layer.
[0010] Preferably, in step S1, the method for establishing the chloride ion diffusion model for newly constructed marine pipe piles is as follows:
[0011] Obtain the inner and outer diameters of the pipe pile;
[0012] Based on arbitrary chloride ion intrusion time and arbitrary radial distance of pipe pile, the governing equation of chloride ion concentration is obtained.
[0013] Based on the arbitrary radial distance of the pipe pile, the initial conditions that the chloride ion concentration follows at the initial moment of chloride ion intrusion are obtained;
[0014] Based on the arbitrary chloride ion intrusion time, the inner boundary condition that the chloride ion concentration at the inner radius of the pipe pile is subject to is obtained.
[0015] Based on the arbitrary chloride ion intrusion time, the outer boundary condition that the chloride ion concentration at the outer radius of the pipe pile is subject to is obtained.
[0016] Based on the governing equations, the initial conditions, the inner boundary conditions, and the outer boundary conditions, a chloride ion diffusion model for newly constructed marine pipe piles is established.
[0017] Preferably, the governing equation is: In the formula, r is any radial distance of the pipe pile, t is any chloride ion intrusion time, and c(t,r) is the chloride ion concentration at r at time t.
[0018] The initial condition is: at time t = 0, c(0,r) = 0;
[0019] The inner boundary condition is: r = r0. In the formula, r0 is the inner radius;
[0020] The outer boundary condition is: r = r e c(t,r) e ) = c s f(t), where r e Let c be the outer radius. s Let f(t) be the concentration of chloride ions in seawater, and f(t) be a time-dependent function.
[0021] Preferably, in step S1, the method for analyzing the diffusion model is as follows:
[0022] A new function for chloride ion concentration is constructed, and the new function is substituted into the diffusion model to obtain an equation, wherein the equation includes a new governing equation, a new initial condition, a new inner boundary condition, and a new outer boundary condition; and a set of eigenvalue systems corresponding to the equation is obtained.
[0023] Based on the eigenvalue system, a set of transformation pairs is constructed;
[0024] Based on the transformation pair and the new governing equation, a first-order variable coefficient equation in matrix form is obtained;
[0025] Solve the first-order variable coefficient equation to obtain the solution equation;
[0026] Substitute the solution equation into the transformation pair to obtain intermediate results;
[0027] Substituting the intermediate results into the new function, the analytical solution of the diffusion model is obtained.
[0028] Preferably, the new function is: c(t,r)=c * (t,r)+c s f(t);
[0029] The equation is:
[0030]
[0031] c * (0,r)=-c s f(t);
[0032]
[0033] c * (t,r e ) = 0;
[0034] The eigenvalue system is as follows:
[0035]
[0036]
[0037] ψ m (β m ,r e ) = 0;
[0038] In the formula, ψ m (β m (r) represents the arbitrary radial distance r from the pipe pile and the characteristic value β. m A function related to the number of eigenvalue sequences m.
[0039] Preferably, in step S2, the method for obtaining the relationship between the diffusion coefficient of the newly constructed marine pipe pile and the thickness of the steel reinforcement protective layer is as follows:
[0040] Obtain the implicit function of the analytical solution;
[0041] Under a preset marine environment, the concentration of chloride ions in seawater and the growth function of chloride ion concentration on concrete surface were obtained by testing.
[0042] Based on the dimensions of the pipe pile and the concrete material, the inner and outer radii of the pipe pile were obtained through testing.
[0043] The service life of the pipe pile and the chloride ion concentration threshold at the reinforcing steel were obtained.
[0044] By substituting the seawater chloride ion concentration, the chloride ion concentration growth function on the concrete surface, the inner radius and outer radius of the pipe pile, the service life, and the chloride ion concentration threshold at the reinforcing steel into the implicit function, the relationship between the diffusion coefficient of the newly built marine pipe pile and the thickness of the reinforcing steel protective layer can be obtained.
[0045] The present invention also provides a system for determining the relationship between the diffusion coefficient of marine pipe piles and the thickness of the concrete cover of steel bars. The system for determining the relationship applies the method described above and includes: a model building module and a relationship determination module.
[0046] The model building module is used to establish a chloride ion diffusion model for newly built marine engineering pipe piles based on Fick's second law, and to analyze the diffusion model to obtain an analytical solution.
[0047] The relationship determination module is used to obtain the relationship between the diffusion coefficient of newly built marine pipe piles and the thickness of the steel reinforcement protective layer based on the analytical solution.
[0048] Preferably, the relationship determination module includes an implicit function acquisition unit, a testing unit, and a calculation unit;
[0049] The implicit function acquisition unit is used to acquire the implicit function of the analytical solution;
[0050] The testing unit is used to test and obtain the chloride ion concentration in seawater and the chloride ion concentration growth function on the concrete surface under a preset marine environment; based on the pipe pile size and concrete material, test and obtain the inner and outer radii of the pipe pile; and obtain the service life of the pipe pile and the chloride ion concentration threshold at the reinforcing steel.
[0051] The calculation unit is used to substitute the seawater chloride ion concentration, the inner radius and outer radius of the pipe pile, the service life, and the chloride ion concentration threshold at the reinforcing steel into the implicit function to obtain the relationship between the diffusion coefficient of the newly built marine pipe pile and the thickness of the reinforcing steel protective layer.
[0052] Compared with existing technologies, the beneficial effects of this invention are as follows: Based on a chloride ion diffusion model, a direct relationship is established between the diffusion coefficient of newly constructed marine pipe piles and the thickness of the reinforcing steel protective layer, allowing the influence of the diffusion coefficient to be considered during the setting of the reinforcing steel protective layer thickness. This guides engineers to scientifically determine the thickness of the reinforcing steel protective layer of pipe piles based on the pipe pile diffusion coefficient. Attached Figure Description
[0053] To more clearly illustrate the technical solution of the present invention, the drawings used in the embodiments are briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0054] Figure 1 This is a flowchart illustrating the method for determining the relationship between the diffusion coefficient of marine pipe piles and the thickness of the reinforcing steel protective layer according to an embodiment of the present invention.
[0055] Figure 2 This is a flowchart illustrating the implementation of the analysis method in an embodiment of the invention.
[0056] Figure 3 This is a diagram showing the distribution of chloride ion concentration inside coastal pipe piles under different diffusion coefficients according to an embodiment of the present invention.
[0057] Figure 4 This is a graph showing the relationship between the diffusion coefficient and the thickness of the steel reinforcement protective layer in an embodiment of the present invention. Detailed Implementation
[0058] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and 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.
[0059] To make the above-mentioned objects, features and advantages of the present invention more apparent and understandable, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.
[0060] Example 1
[0061] like Figure 1 As shown, a method for determining the relationship between the diffusion coefficient of marine pipe piles and the thickness of the reinforcing steel protective layer includes the following steps:
[0062] S1: Based on Fick's second law, a chloride ion diffusion model for newly constructed marine pipe piles is established, and the diffusion model is analyzed to obtain an analytical solution;
[0063] A further implementation method is that, in step S1, the method for establishing the chloride ion diffusion model for newly constructed marine pipe piles is as follows:
[0064] Obtain the inner and outer diameters of the pipe pile;
[0065] Based on arbitrary chloride ion intrusion time and arbitrary radial distance of pipe pile, the governing equation of chloride ion concentration is obtained.
[0066] Based on arbitrary radial distance of pipe piles, the initial conditions that chloride ion concentration follows at the initial moment of chloride ion invasion are obtained;
[0067] Based on arbitrary chloride ion intrusion time, the inner boundary conditions that the chloride ion concentration at the inner radius of the pipe pile is subject to are obtained.
[0068] Based on arbitrary chloride ion intrusion time, the outer boundary condition that the chloride ion concentration at the outer radius of the pipe pile is subject to is obtained.
[0069] A chloride ion diffusion model for newly constructed marine pipe piles is established based on the governing equations, initial conditions, internal boundary conditions, and external boundary conditions.
[0070] Specifically, this diffusion model covers the outer diameter r of the pipe pile. e Inner diameter r0, pipe pile diffusion coefficient D, seawater chloride ion concentration c s The time-dependent function f(t), namely the time-varying function of chloride ion concentration growth (concentration time-varying) on the concrete surface, is composed of the chloride ion intrusion time t, the arbitrary radial distance r of the pipe pile, and the chloride ion concentration c(t,r) at r at time t. Where 0≤r 0≤r≤r e D, c s f(t) and t are both non-negative numbers.
[0071] For any chloride ion intrusion time t and any radial distance r of the pipe pile, c(t,r) obeys the following governing equation:
[0072]
[0073] For the initial moment of the intrusion, i.e., t = 0, c(t,r) follows the following initial conditions:
[0074] c(0,r)=0 (2)
[0075] For the inner radius of the pipe pile, i.e., r = r0, c(t,r) satisfies the following inner boundary conditions:
[0076]
[0077] For the outer radius of the pipe pile, i.e., r = r e c(t,r) follows the following outer boundary conditions:
[0078] c(t,r e ) = c s f(t) (4)
[0079] In equation (4), f(t) is an arbitrary continuous function, which can be defined as a specific function according to the actual situation.
[0080] Equations (1) to (4) together constitute the chloride ion diffusion model for marine pipe piles.
[0081] A further implementation method is that, in step S1, the method for analyzing the diffusion model is as follows:
[0082] A new function for chloride ion concentration is constructed, and the new function is substituted into the diffusion model to obtain the equation, which includes a new governing equation, a new initial condition, a new inner boundary condition, and a new outer boundary condition; and a set of eigenvalue systems corresponding to the equation is obtained.
[0083] Based on the eigenvalue system, construct a set of transformation pairs;
[0084] Based on the transformation pairs and the new governing equations, a first-order variable coefficient equation in matrix form is obtained.
[0085] Solve the first-order variable coefficient equation to obtain the solution equation;
[0086] Substitute the solution equation into the transformation pair to obtain the intermediate result;
[0087] Substituting the intermediate results into the new function yields the analytical solution of the diffusion model.
[0088] Specifically, by solving equations (1) to (4) above, the analytical solution of the chloride ion diffusion model of newly built pipe piles based on Fick's second law can be obtained.
[0089] Construct a new function as follows:
[0090] c(t,r)=c * (t,r)+c s f(t) (5)
[0091] Substituting equation (5) into the chloride ion diffusion model of newly constructed pipe piles based on Fick's second law, i.e. equations (1) to (4), we can obtain the following four equations:
[0092]
[0093] c * (0,r)=-c s f(t) (7)
[0094]
[0095] c * (t,r e )=0 (9)
[0096] The eigenvalue system corresponding to equations (6) to (9) above is shown below:
[0097]
[0098]
[0099] ψ m (β m ,r e )=0 (12)
[0100] In equations (10) to (12) above, ψ m (β m (r) represents the arbitrary radial distance r from the pipe pile and the characteristic value β. m A function related to the number of eigenvalue sequences m.
[0101] Equation (10) above is the Bessel equation, and ψ can be determined based on the two conditions in equations (11) to (12). m (β m The following is an example of the character (r):
[0102]
[0103] In equation (13), J0 and Y0 are the first and second type 0 Bessel functions, respectively.
[0104] Furthermore, construct a set of transformation pairs as follows:
[0105]
[0106]
[0107] In equations (14) to (15) above
[0108] Multiply both sides of equation (6) by Substituting equation (15) into the equation and rearranging, we get:
[0109]
[0110] In the above formula (16)
[0111]
[0112] G(t)=[G1(t) G2(t) … G L (t)] T ;
[0113]
[0114]
[0115] L is the number of terms to be summed, which is a positive integer.
[0116] Equation (16) above is a first-order variable coefficient equation in matrix form, and its solution is as follows:
[0117]
[0118] In the above formula (17):
[0119]
[0120] Substituting equation (17) back into equation (15) and then back into equation (5), we can obtain the analytical solution of the chloride ion diffusion model for newly constructed pipe piles based on Fick's second law, as shown below:
[0121]
[0122] in
[0123] S2: Based on the analytical solution, obtain the relationship between the diffusion coefficient of newly built marine pipe piles and the thickness of the steel reinforcement protective layer.
[0124] A further implementation method is, such as Figure 2 As shown, in step S2, the method for obtaining the relationship between the diffusion coefficient of the newly built marine pipe pile and the thickness of the steel reinforcement protective layer is as follows:
[0125] Obtaining the implicit function of the analytical solution, that is, writing the analytical solution equation (18) of the diffusion model considering free flow inside the pipe pile in the implicit function form F(r) e ,r0,D,c s ,f(t),c,t,r)=0.
[0126] Under a pre-defined marine environment, the concentration of chloride ions (c) in seawater was measured.s And the function f(t) for the increase (time-varying) of chloride ion concentration on the concrete surface;
[0127] Based on the dimensions of the pipe pile and the concrete material, the inner radius r0 and outer radius r of the pipe pile were obtained by testing. e ;
[0128] Obtain the service life t=T of the pipe pile and the reinforcement (r=r) s Chloride ion concentration threshold c = c c ;
[0129] The concentration of chloride ions in seawater, c s The function of chloride ion concentration growth on concrete surface f(t), the inner radius r0 of the pipe pile, and the outer radius r e Service life T and chloride ion concentration threshold c at the steel reinforcement c Substitute the implicit function: F(r) e ,r0,D,c s ,f(t),c c ,T,r s After F = 0, it was found that F is only related to D and r. s Related, defined as F1(D,r s =0. Obtain the relationship between the diffusion coefficient of newly constructed marine pipe piles and the thickness of the concrete cover for reinforcing steel. Function F1 represents the relationship between the diffusion coefficient and the thickness of the concrete cover for reinforcing steel. Using function F1, determine the relationship between the diffusion coefficient D and the thickness of the concrete cover for reinforcing steel (r). e -r s The relationship between them is such that for any value of D, there is a corresponding value of r. s .
[0130] Example 2
[0131] Different diffusion coefficients correspond to different concrete cover thicknesses for steel reinforcement:
[0132] The following set of calculation parameters is given: outer diameter r e =250mm, inner diameter r0=150mm, seawater chloride ion concentration c s =0.55%, t0 = 25 years, T = 100 years, chloride ion concentration threshold c at the steel reinforcement c =0.3%. Substituting the above parameters into F1(D,r) s The relationship between the concrete cover thickness and the diffusion coefficient can be obtained by setting the diffusion coefficient D to 0. For example, if the diffusion coefficient D = 10 is substituted... -12 m 2 At a density of / s, the corresponding concrete cover thickness for the reinforcing steel needs to be 70mm, while incorporating a diffusion coefficient D = 10. -13 m 2 At a speed of / s, the corresponding concrete cover thickness for the reinforcing steel should be 15mm. Alternatively, it can be achieved through... Figure 3 It is clear that the required concrete cover thickness varies significantly under different diffusion coefficients.
[0133] Example 3
[0134] The relationship between diffusion coefficient and concrete cover for reinforcing steel:
[0135] The following set of calculation parameters is given: outer diameter r e =250mm, inner diameter r0=150mm, seawater chloride ion concentration c s =0.55%, t0 = 25 years, T = 100 years, chloride ion concentration threshold c at the steel reinforcement c =0.3%. Substituting the above parameters into F1(D,r) s The relationship between the concrete cover thickness and the diffusion coefficient can be obtained by setting the value of ) = 0. Figure 4 It directly displays the relationship between the diffusion coefficient and the thickness of the concrete cover for reinforcing bars, making it easy for engineers to determine the thickness of the concrete cover for reinforcing bars based on the diffusion coefficient.
[0136] Example 4
[0137] The present invention also provides a system for determining the relationship between the diffusion coefficient of marine pipe piles and the thickness of the concrete cover of steel bars. The system for determining the relationship applies a relationship determination method and includes: a model building module and a relationship determination module.
[0138] The model building module is used to establish a chloride ion diffusion model for newly built marine engineering pipe piles based on Fick's second law, and to analyze the diffusion model to obtain analytical solutions;
[0139] The relationship determination module is used to obtain the relationship between the diffusion coefficient of newly built marine pipe piles and the thickness of the steel reinforcement protective layer based on the analytical solution.
[0140] A further implementation method is that the relationship determination module includes an implicit function acquisition unit, a testing unit, and a calculation unit;
[0141] Implicit function acquisition unit, used to acquire implicit functions for analytical solutions;
[0142] The testing unit is used to test and obtain the chloride ion concentration in seawater and the chloride ion concentration growth function on the concrete surface under a preset marine environment; based on the pipe pile size and concrete material, it tests and obtains the inner and outer radii of the pipe pile; and obtains the service life of the pipe pile and the chloride ion concentration threshold at the reinforcing steel.
[0143] The calculation unit is used to substitute the seawater chloride ion concentration, the inner radius, outer radius, service life of the pipe pile, and the chloride ion concentration threshold at the steel reinforcement into the implicit function to obtain the relationship between the diffusion coefficient of the newly built marine pipe pile and the thickness of the steel reinforcement protective layer.
[0144] The embodiments described above are merely preferred embodiments of the present invention and are not intended to limit the scope of the present invention. Various modifications and improvements made by those skilled in the art to the technical solutions of the present invention without departing from the spirit of the present invention should fall within the protection scope defined by the claims of the present invention.
Claims
1. A method for determining the relationship between the diffusion coefficient and the thickness of the reinforcement cover of a marine tubular pile, characterized in that, Includes the following steps: S1: Based on Fick's second law, a chloride ion diffusion model for newly constructed marine engineering pipe piles is established, and the diffusion model is analyzed to obtain an analytical solution; S2: Based on the analytical solution, obtain the relationship between the diffusion coefficient of the newly built marine pipe pile and the thickness of the steel reinforcement protective layer; In step S1, the method for establishing the chloride ion diffusion model for newly constructed marine pipe piles is as follows: Obtain the inner and outer diameters of the pipe pile; Based on arbitrary chloride ion intrusion time and arbitrary radial distance of pipe pile, the governing equation of chloride ion concentration is obtained. Based on the arbitrary radial distance of the pipe pile, the initial conditions that the chloride ion concentration follows at the initial moment of chloride ion intrusion are obtained; Based on the arbitrary chloride ion intrusion time, the inner boundary condition that the chloride ion concentration at the inner radius of the pipe pile is subject to is obtained. Based on the arbitrary chloride ion intrusion time, the outer boundary condition that the chloride ion concentration at the outer radius of the pipe pile is subject to is obtained. Based on the governing equations, the initial conditions, the inner boundary conditions, and the outer boundary conditions, a chloride ion diffusion model for newly constructed marine pipe piles is established. The governing equation is: In the formula, r For any radial distance of the pipe pile, t For any chloride ion intrusion time, c ( t , r )for t time r Chloride ion concentration at the location; D is the diffusion coefficient; The initial conditions are: t =Time 0, ; The inner boundary conditions are as follows: r = r 0, In the formula, r 0 represents the inner radius; The outer boundary conditions are as follows: r = r e, In the formula, r e The outer radius is c s This refers to the chloride ion concentration in seawater. f ( t () is a time-dependent function; In step S1, the method for analyzing the diffusion model is as follows: A new function for chloride ion concentration is constructed, and the new function is substituted into the diffusion model to obtain an equation, wherein the equation includes a new governing equation, a new initial condition, a new inner boundary condition, and a new outer boundary condition; and a set of eigenvalue systems corresponding to the equation is obtained. Based on the eigenvalue system, a set of transformation pairs is constructed; Based on the transformation pair and the new governing equation, a first-order variable coefficient equation in matrix form is obtained; Solve the first-order variable coefficient equation to obtain the solution equation; Substitute the solution equation into the transformation pair to obtain intermediate results; Substituting the intermediate results into the new function, the analytical solution of the diffusion model is obtained; The new function is: ; The equation is: ; ; ; ; The eigenvalue system is as follows: ; ; ; In the formula, For any radial distance from the pipe pile r eigenvalues and the number of eigenvalue sequences m Related functions; In step S2, the method for obtaining the relationship between the diffusion coefficient of newly constructed marine pipe piles and the thickness of the steel reinforcement protective layer is as follows: Obtain the implicit function of the analytical solution; Under a preset marine environment, the concentration of chloride ions in seawater and the growth function of chloride ion concentration on concrete surface were obtained by testing. Based on the dimensions of the pipe pile and the concrete material, the inner and outer radii of the pipe pile were obtained through testing. The service life of the pipe pile and the chloride ion concentration threshold at the reinforcing steel were obtained. By substituting the seawater chloride ion concentration, the chloride ion concentration growth function on the concrete surface, the inner radius and outer radius of the pipe pile, the service life, and the chloride ion concentration threshold at the reinforcing steel into the implicit function, the relationship between the diffusion coefficient of the newly built marine pipe pile and the thickness of the reinforcing steel protective layer can be obtained.
2. A system for determining the relationship between the diffusion coefficient of marine pipe piles and the thickness of the reinforcing steel protective layer, wherein the system applies the method described in claim 1, characterized in that... include: Model building module and relationship determination module; The model building module is used to establish a chloride ion diffusion model for newly built marine engineering pipe piles based on Fick's second law, and to analyze the diffusion model to obtain an analytical solution. The relationship determination module is used to obtain the relationship between the diffusion coefficient of the newly built marine pipe pile and the thickness of the steel reinforcement protective layer based on the analytical solution. The relationship determination module includes an implicit function acquisition unit, a testing unit, and a calculation unit; The implicit function acquisition unit is used to acquire the implicit function of the analytical solution; The testing unit is used to test and obtain the chloride ion concentration in seawater and the chloride ion concentration growth function on the concrete surface under a preset marine environment; based on the pipe pile size and concrete material, test and obtain the inner and outer radii of the pipe pile; and obtain the service life of the pipe pile and the chloride ion concentration threshold at the reinforcing steel. The calculation unit is used to substitute the seawater chloride ion concentration, the chloride ion concentration growth function on the concrete surface, the inner radius, the outer radius, the service life, and the chloride ion concentration threshold at the reinforcing steel into the implicit function to obtain the relationship between the diffusion coefficient of the newly built marine engineering pipe pile and the thickness of the reinforcing steel protective layer.