Method for determining a high-pressure rotary jet grouting nozzle and storage medium

Abstract

The application discloses a kind of high-pressure rotary jet grouting nozzle determination method and storage medium, method includes: obtaining multiple target nozzles, builds experimental device;Each target nozzle is executed once step: high-pressure rotary jet grouting experiment is carried out by experimental device, obtains first target parameter, establishes the finite element model of target nozzle and carries out simulation experiment, obtains second target parameter, determines the geometric characteristic index of target nozzle and its corresponding weight;When all target nozzles execute step, generate evaluation matrix, calculate the index value of target nozzle using evaluation matrix, select the target nozzle with maximum index value as the optimal nozzle for executing high-pressure rotary jet grouting work.The application combines finite element analysis method, multi-index decision method and model experiment, fully considers the six size parameters of the nozzle affecting grouting effect, reduces the influence of jet grouting equipment nozzle size on jet energy attenuation, thereby improves construction efficiency and construction effect.

Description

Technical Field

[0001] This invention relates to the field of building engineering control technology, and in particular to a method for determining high-pressure jet grouting nozzles and a storage medium. Background Technology

[0002] With the continuous development of civil engineering construction in my country, the demand for soil reinforcement in building projects is constantly increasing. High-pressure jet grouting is a common construction method. It involves drilling holes with a drilling rig, inserting a grouting pipe with a nozzle into the borehole, and injecting high-pressure fluid into the soil to disrupt its structure. The resulting soil then combines with the injected cement grout to form cement-reinforced soil. High-pressure jet grouting achieves soil reinforcement by improving soil structure and is widely used in foundation reinforcement, excavation pit retaining structure construction, and tunnel overburden reinforcement. Because high-pressure jet grouting is an extremely complex process, its construction effect and efficiency largely depend on the structure and material design of the high-pressure jet grouting equipment. Typically, the nozzle size, jet grouting equipment diameter, and other equipment parameters determine the jetting characteristics of the cement grout, thus determining the quality of the grout and consequently affecting the construction effect and efficiency. Therefore, the design of high-pressure jet grouting equipment has always been a challenging aspect of high-pressure jet grouting technology design.

[0003] However, most existing design methods only consider factors such as the interaction between the grouting material and the soil, the predicted geometric variability of the jet grout, the watertightness of the mixture formed by jet grouting, and the environmental impact of jet grouting. They rarely consider the influence of the jet grouting equipment parameters on the effectiveness and efficiency of high-pressure jet grouting operations. The nozzle size of the jet grouting equipment has an impact on the attenuation of jet energy. If the nozzle size is not properly selected, the energy attenuation of the cement grout jet will be significant, affecting the quality of the jet grout and consequently the effectiveness of the ground reinforcement.

[0004] Therefore, there is an urgent need in this field for a method to determine a high-pressure rotary jet grouting nozzle that can improve grouting construction efficiency, fully consider the influence of grouting equipment parameters on the jetting effect, and improve construction effect and efficiency. Summary of the Invention

[0005] The purpose of this invention is to provide a method for determining a high-pressure rotary jet grouting nozzle and a storage medium, so as to solve one or more technical problems existing in the prior art, and at least provide a beneficial option or create conditions.

[0006] The solution to the technical problem of this invention is as follows: In a first aspect, this application provides a method for determining a high-pressure rotary jet grouting nozzle, comprising the following steps:

[0007] Obtain several target nozzles and their corresponding target nozzle numbers, and build an experimental device to simulate high-pressure jet grouting.

[0008] For each of the target nozzles, perform the following steps once:

[0009] A high-pressure rotary jet grouting experiment was conducted using the experimental apparatus in conjunction with the target nozzle to obtain the first target parameters of the target nozzle; wherein, the first target parameters carry the corresponding target nozzle number, and the first target parameters include impact force parameters, flow rate parameters, and pressure parameters;

[0010] A finite element model of the target nozzle is established, and a high-pressure rotary jet grouting simulation experiment is performed on the finite element model to obtain the second target parameters of the target nozzle; wherein, the second target parameters carry the corresponding target nozzle number, and the second target parameters include flow velocity parameters;

[0011] Determine the geometric feature index of the target nozzle, calculate the average correlation coefficient between the geometric feature index and the first target parameter and the second target parameter, and determine the weight of the geometric feature index based on the average correlation coefficient;

[0012] When all the target nozzles have completed the above steps, an evaluation matrix is ​​generated based on the geometric feature indicators and their weights of all the target nozzles. The index value of each target nozzle is calculated using the evaluation matrix, and the target nozzle with the largest index value is selected as the optimal nozzle for performing high-pressure jet grouting.

[0013] Furthermore, the experimental apparatus includes: an experimental water tank, a high-pressure water pump, an induction plate, a high-pressure pipeline, a nozzle bracket, and a second sensor. The first side wall of the experimental water tank has a water outlet. The target nozzle is fixed to the second side wall of the experimental water tank via the nozzle bracket. One end of the induction plate stands vertically at the bottom of the experimental water tank. The output end of the high-pressure water pump is connected to the target nozzle via the high-pressure pipeline. The input end of the high-pressure water pump is connected to a water storage tank. The high-pressure water pump is used to pump water to the target nozzle, which sprays water onto the induction plate. A first sensor is installed on the induction plate to detect the impact force parameters on the surface of the induction plate when water is sprayed onto it. The second sensor is installed at the high-pressure water pump to detect the flow rate and pressure parameters of the high-pressure water pump.

[0014] Furthermore, the step of conducting a high-pressure rotary jet grouting experiment using the experimental apparatus in conjunction with the target nozzle to obtain the first target parameters of the target nozzle includes:

[0015] The high-pressure water pump and the target nozzle are connected through the high-pressure pipeline. The high-pressure water pump is turned on and water is pumped to the target nozzle. The target nozzle sprays water onto the induction plate to simulate high-pressure jet grouting.

[0016] The distance between the sensing plate and the target nozzle is adjusted to a first distance. The flow rate and pressure parameters of the high-pressure water pump are obtained through the second sensor, and the impact force parameters of the sensing plate are obtained through the first sensor. The flow rate, pressure parameters and impact force parameters are then output.

[0017] Further, the establishment of a finite element model of the target nozzle, and the performance of a high-pressure jet grouting simulation experiment on the finite element model to obtain the second target parameters of the target nozzle, including:

[0018] Construct a finite element model of the target nozzle, wherein the geometric dimensions of the finite element model are consistent with the geometric dimensions of the experimental device;

[0019] The mesh is determined based on the geometric dimensions of the target nozzle. The finite element model is discretized into a computational model consisting of several nodes and elements through the mesh. The computational model satisfies the turbulence equation.

[0020] Determine the boundary conditions, find the cells located on the boundary of the divided grid, and assign the boundary conditions to the cells located on the boundary of the divided grid;

[0021] A high-pressure jet grouting simulation experiment was conducted using the finite element model. During this simulation experiment, the values ​​of the non-boundary elements located in the divided mesh were calculated based on the boundary conditions and the calculation model, thereby obtaining the flow velocity parameters at the outlet of the target nozzle.

[0022] Furthermore, the turbulence equation is:

[0023]

[0024]

[0025] in:

[0026] Where ρ is the density of water, k is the turbulent kinetic energy, t is time, ε is the turbulent kinetic energy dissipation, and x i x j These are the components in two directions in a two-dimensional coordinate system, u i E represents the component of velocity in the corresponding direction. ij u is the deformation rate. t σ is the eddy current viscosity.k σ ε C s1 C s2 C μ All are constants.

[0027] Further, determining the geometric characteristic index of the target nozzle and calculating the average correlation coefficient between the geometric characteristic index and the first target parameter and the second target parameter includes:

[0028] The geometric characteristics of the target nozzle are determined as follows: outlet diameter, inlet diameter, cone angle, straight section length, conical section length, and capillary length.

[0029] Calculate the correlation coefficient between the geometric feature index and the first target parameter and the second target parameter, wherein the correlation coefficient satisfies the following formula:

[0030]

[0031] The target parameters include a first target parameter and a second target parameter; X represents the geometric feature index, and Y represents the target parameter; X pi Let be the value corresponding to the i-th sample of the p-th geometric feature index. Y represents the average value of geometric characteristic indicators; qi Let be the value corresponding to the i-th sample of the q-th target parameter. This represents the average value of the target parameter;

[0032] Based on the correlation coefficient, the average correlation coefficient between the geometric feature index and the first target parameter and the second target parameter is calculated, and the average correlation coefficient satisfies the following formula:

[0033]

[0034] Where, r pq r represents the correlation coefficient between the p-th geometric feature index and the q-th target parameter. p This represents the average correlation coefficient.

[0035] Furthermore, the weights of the geometric feature indices satisfy the following formula:

[0036]

[0037] Where, r p =r i w i This represents the weight of the i-th geometric feature index.

[0038] Further, the step of generating an evaluation matrix based on the geometric feature indices and weights of all the target nozzles, calculating the index value of each target nozzle using the evaluation matrix, and selecting the target nozzle with the largest index value as the optimal nozzle for performing high-pressure jet grouting includes:

[0039] Based on the geometric feature indices and weights of all the target nozzles, the following evaluation matrix is ​​generated:

[0040]

[0041] Where m represents the target nozzle number, i.e., the m-th target nozzle; n represents the n-th geometric feature index, a ij This represents the j-th geometric feature index of the i-th target nozzle;

[0042] The geometric feature indices in the evaluation matrix are normalized to obtain normalized geometric feature indices, which in turn constitute the normalized evaluation matrix.

[0043] Based on the normalized evaluation matrix, calculate the positive ideal solution and the negative ideal solution respectively;

[0044] The positive ideal solution satisfies the following formula:

[0045]

[0046] Among them, s i * For the positive ideal solution, a ij * This represents the value of the j-th geometric feature index of the i-th target nozzle in the normalized evaluation matrix, i.e., the value of the j-th geometric feature index of the i-th scheme, where the i-th scheme corresponds to the i-th target nozzle; a j * This represents the value of the j-th geometric feature index;

[0047] The negative ideal solution satisfies the following formula:

[0048]

[0049] Among them, s i 0 It is a negative ideal solution;

[0050] Based on the positive and negative ideal solutions, the index value of the i-th scheme is calculated, and the index value of the i-th scheme satisfies the following formula:

[0051]

[0052] Among them, s i 0For the negative ideal solution, s i * For the positive ideal solution, f i Let be the index value of the i-th scheme;

[0053] Based on the index values ​​of all the target nozzles, the target nozzle with the largest index value is determined and selected as the optimal nozzle for performing high-pressure jet grouting.

[0054] Further, the geometric feature indices in the evaluation matrix are normalized to obtain normalized geometric feature indices, which then constitute the normalized evaluation matrix, including:

[0055] Determine the type of the geometric feature index, which includes either a larger-than-average type or a smaller-than-average type:

[0056] When the geometric feature index is a type where a larger value is better, the geometric feature index is normalized using the following formula:

[0057] When the geometric feature index is a smaller-than-optimal type, the geometric feature index is normalized using the following formula:

[0058] Where aij represents the value of the j-th geometric feature index of the i-th target nozzle in the normalized evaluation matrix;

[0059] Once all geometric feature indicators have been normalized, the matrix is ​​reconstructed using all the normalized geometric feature indicators to obtain the normalized evaluation matrix.

[0060] Secondly, this application provides a storage medium storing processor-executable instructions, which, when executed by a processor, are used to perform a method for determining a high-pressure rotary jet grouting nozzle.

[0061] The beneficial effects of this invention are: it provides a method for determining high-pressure jet grouting nozzles and a storage medium. The method utilizes model experiments and finite element simulation, combined with a multi-objective decision-making method, to select high-pressure jet grouting nozzles. It not only fully considers the six dimensional parameters of the nozzles that affect the grouting effect in high-pressure jet grouting, but also takes into account both practical and theoretical calculations, improving the rationality of nozzle selection. It overcomes the defect in the prior art that does not consider the influence of nozzle size on the grouting effect, reduces the influence of nozzle size on jet energy attenuation, avoids the phenomenon of poor quality of the jet grouting body due to energy attenuation, and thus improves construction efficiency and construction effect.

[0062] Other features and advantages of this application will be set forth in the description which follows, and will be apparent in part from the description, or may be learned by practicing the application. The objectives and other advantages of this application may be realized and obtained by means of the structures particularly pointed out in the description, claims and drawings. Attached Figure Description

[0063] Figure 1 A flowchart illustrating a method for determining a high-pressure rotary jet grouting nozzle, provided for an embodiment of this application;

[0064] Figure 2 A schematic diagram of a commonly used nozzle provided in the embodiments of this application;

[0065] Figure 3 A structural diagram of the experimental apparatus provided in the embodiments of this application;

[0066] Figure 4 A data relationship diagram of flow rate and pressure parameters provided for embodiments of this application;

[0067] Figure 5 A graph showing the relationship between impact force parameters and nozzle diameter provided in the embodiments of this application;

[0068] Figure 6 A schematic diagram illustrating the mesh and boundary definition provided in an embodiment of this application;

[0069] Figure 7 The calculation results of the finite element model provided in the embodiments of this application are shown in the figure;

[0070] Figure 8 A graph showing the weighted calculation results of the nozzle geometric feature indices provided in the embodiments of this application;

[0071] Figure 9 A graph showing the calculated parameters of the nozzle provided in an embodiment of this application;

[0072] Figure 10 A schematic diagram illustrating the method for determining the high-pressure rotary jet grouting nozzle provided in this application embodiment. Detailed Implementation

[0073] To make the objectives, technical solutions, and advantages of this application clearer, the following detailed description is provided in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the scope of this application.

[0074] The present application will be further described below with reference to the accompanying drawings and specific embodiments. The described embodiments should not be considered as limitations on the present application, and all other embodiments obtained by those skilled in the art without inventive effort are within the scope of protection of the present application.

[0075] In the following description, references are made to “some embodiments,” which describe a subset of all possible embodiments. However, it is understood that “some embodiments” may be the same subset or different subsets of all possible embodiments and may be combined with each other without conflict.

[0076] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs. The terminology used herein is for the purpose of describing embodiments of this application only and is not intended to limit this application.

[0077] Before providing a further detailed description of the embodiments of this application, the nouns and terms involved in the embodiments of this application will be explained, and the nouns and terms involved in the embodiments of this application shall be interpreted as follows.

[0078] (1) High-pressure jet grouting involves drilling to the designed depth using an engineering drilling rig, and then using a high-pressure mud pump to inject a solidifying grout into the surrounding soil through a special nozzle installed at the bottom of the hole at the end of the drill rod. The grout is generally cement grout. Simultaneously, the drill rod rotates and is lifted at a certain speed, and the high-pressure jet disrupts the soil structure within a certain range, forcing the disrupted soil structure to mix with the solidifying grout. After the solidifying grout mixes and solidifies with the soil, it forms a consolidated body with certain properties and shape within the soil. This method is mainly used to reinforce foundations, improve the shear strength of the foundation, and improve the deformation performance of the foundation soil, so that it will not be destroyed or undergo excessive deformation under load.

[0079] (2) The Finite Element Method (FEM) is a numerical technique for finding approximate solutions to boundary value problems of partial differential equations. During the solution process, the entire problem domain is decomposed, with each sub-domain becoming a simpler part, called a finite element. It uses variational methods to minimize the error function and generate stable solutions. Analogous to the idea of ​​connecting multiple small straight lines to approximate a circle, the finite element method encompasses all possible methods that connect simple equations in many small regions called finite elements and use them to estimate complex equations in larger regions. It considers the solution domain as composed of many small interconnected subdomains called finite elements, assumes a suitable (simpler) approximate solution for each element, and then derives the overall satisfying conditions of this domain (such as the equilibrium conditions of the structure) to obtain the solution to the problem. This solution is not an exact solution, but an approximate one, because the actual problem is replaced by a simpler one. Since most practical problems are difficult to solve accurately, and the finite element method not only has high computational accuracy but can also adapt to various complex shapes, it has become an effective engineering analysis tool.

[0080] (3) Finite Element Analysis (FEA) uses mathematical approximation methods to simulate real physical systems, such as geometry and load conditions. By using simple but interacting elements, or units, a real system with an infinite number of unknowns can be approximated with a finite number of unknowns.

[0081] (4) The TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution) method ranks a finite number of evaluation objects based on their proximity to an idealized goal, evaluating their relative merits among existing objects. TOPSIS is a ranking method that approximates the ideal solution; it only requires that each utility function is monotonically increasing (or decreasing). TOPSIS is a commonly used and effective method in multi-objective decision analysis, also known as the distance method between optimal and worst solutions. Its basic principle is to rank the evaluation objects by detecting the distance between them and the optimal and worst solutions. If an evaluation object is closest to the optimal solution and furthest from the worst solution, it is considered the best; otherwise, it is not optimal. In the optimal solution, all indicator values ​​reach their optimal values ​​for each evaluation indicator. In the worst solution, all indicator values ​​reach their worst values ​​for each evaluation indicator.

[0082] With the continuous development of civil engineering construction in my country, the demand for ground reinforcement in building projects is constantly increasing. High-pressure jet grouting is a common construction method that strengthens the ground by improving the soil structure. This method is widely used in foundation reinforcement, excavation pit retaining structure construction, and tunnel overburden reinforcement. Because high-pressure jet grouting is an extremely complex process, its construction effect and efficiency largely depend on the structure and material design of the high-pressure jet grouting equipment. Typically, the nozzle size, jet grouting equipment diameter, and other equipment parameters determine the spray characteristics of the cement grout, thus determining the quality of the grout and consequently affecting the construction effect and efficiency. Therefore, the design of high-pressure jet grouting equipment has always been a challenging aspect of high-pressure jet grouting technology design.

[0083] However, most existing design methods only consider factors such as the interaction between the grouting material and the soil, the predicted geometric variability of the jet grout, the watertightness of the mixture formed by jet grouting, and the environmental impact of jet grouting. They rarely consider the influence of the jet grouting equipment parameters on the effectiveness and efficiency of high-pressure jet grouting operations. The nozzle size of the jet grouting equipment has an impact on the attenuation of jet energy. If the nozzle size is not properly selected, the energy attenuation of the cement grout jet will be significant, affecting the quality of the jet grout and consequently the effectiveness of the ground reinforcement.

[0084] To address the problems existing in the prior art, this invention provides a method for determining high-pressure jet grouting nozzles and a storage medium, applicable to the design of high-pressure jet grouting nozzles. First, high-pressure jet grouting experiments are used to simulate the influence of nozzles of different sizes on the jet flow, determining the relationship between the nozzle's geometric parameters and three parameters: impact force, flow rate, and pressure. Then, a finite element method is used to simulate high-pressure jet grouting experiments, determining the relationship between the nozzle's geometric parameters and its outlet velocity. Next, a multi-objective decision-making method is used to establish a nozzle selection evaluation index system based on geometric dimensions. Based on the parameter relationships obtained from the high-pressure jet grouting experiments and finite element simulation experiments, the average correlation coefficient method is used to determine the weight of each index. Finally, the TOPSIS method is used to calculate the distance between all nozzles and the ideal solution, selecting the nozzle with the shortest distance, i.e., the smallest index value, as the optimal nozzle.

[0085] Reference Figure 1 , Figure 1 This is a flowchart illustrating a method for determining a high-pressure jet grouting nozzle, as provided in an embodiment of this application. An embodiment of this application will be described and explained below, illustrating the method for determining the high-pressure jet grouting nozzle provided in this application. The application scenario of this embodiment is a construction project. The geological conditions of the foundation pit excavation in this construction project are mainly silty sand, silty clay, and sand layers, i.e., a soft soil environment. The main characteristics of this stratum are high water content, high compressibility, low strength, and easy deformation. The sand layer is mainly composed of silt and coarse sand, exhibiting a loose to medium-dense state. The silty clay layer has high water content and weak to medium permeability. Based on prior knowledge, a high-pressure jet grouting curtain water-stopping scheme is adopted between the external support piles of the foundation pit, with a pile diameter of 600mm, an overlap width of 250mm between adjacent piles, and a pile length of 12-16m. This embodiment designs the high-pressure jet grouting nozzle for this project based on the method for determining the high-pressure jet grouting nozzle proposed in this application.

[0086] The determination method may include, but is not limited to, the following steps.

[0087] Step 100: Obtain several target nozzles and their corresponding nozzle numbers, and build an experimental device for simulating high-pressure jet grouting.

[0088] It should be noted that the experimental setup is for studying the nozzle response to transport high-speed fluids.

[0089] Optionally, obtaining a plurality of target nozzles and their corresponding nozzle numbers includes:

[0090] Obtain the structural parameters of several sample nozzles, and select the target nozzles and their nozzle numbers for participation in the high-pressure jet grouting experiment based on the structural parameters.

[0091] It should be noted that the structural parameters include the outlet diameter d, the inlet diameter D, the cone angle θ, the straight section length L1, the conical section length L2, the capillary length L3, and the total nozzle length L, where L = L1 + L2 + L3.

[0092] In this specific embodiment, the selected nozzle has the following structure: Figure 2 As shown, Figure 2 The diagram shown is a schematic diagram of a commonly used nozzle provided in the embodiments of this application. Figure 2 In the table, "1" represents the outlet diameter d, "2" represents the inlet diameter D, "3" represents the cone angle θ, "4" represents the straight section length L1, "5" represents the conical section length L2, "6" represents the capillary length L3, and "7" represents the total nozzle length L. This application selects ten target nozzles, and the specific structural parameters of the target nozzles are shown in Table 1 below.

[0093] Table 1: Parameters of the target nozzle selected in this embodiment

[0094]

[0095] Step 200: Perform the following steps once for each target nozzle:

[0096] Step 210: Conduct a high-pressure rotary jet grouting experiment using the experimental setup and the target nozzle to obtain the first target parameters of the target nozzle.

[0097] It should be noted that the first target parameter carries the corresponding nozzle number. The first target parameter includes the impact force parameter as well as the flow rate and pressure parameters of the high-pressure water pump connected to the target nozzle.

[0098] Step 220: Establish a finite element model of the target nozzle, conduct a high-pressure rotary jet grouting simulation experiment on the finite element model, and obtain the second target parameters of the target nozzle.

[0099] It should be noted that the second target parameter carries the corresponding nozzle number, and the second target parameter includes the flow velocity parameter at the outlet of the target nozzle.

[0100] Step 230: Determine the geometric feature index of the target nozzle, calculate the average correlation coefficient between the geometric feature index and the first target parameter and the second target parameter, and determine the weight of the geometric feature index based on the average correlation coefficient.

[0101] Step 300: When all target nozzles have completed the above steps, an evaluation matrix is ​​generated based on the geometric feature indicators and their weights of all target nozzles. The index value of each target nozzle is calculated using the evaluation matrix, and the nozzle with the largest index value is selected as the optimal nozzle for performing high-pressure jet grouting.

[0102] Reference Figure 3As shown, Figure 3 The diagram shown is a structural diagram of the experimental apparatus provided in an embodiment of this application. The structural composition of the experimental apparatus will be described and explained below.

[0103] The experimental apparatus includes a high-pressure water pump 400, an experimental water tank 100, an induction plate 200, and a nozzle 600 support 300. The first sidewall 110 of the experimental water tank 100 has an outlet hole 111. The target nozzle 600, used in the high-pressure rotary jet grouting experiment, is fixed to the second sidewall 120 of the experimental water tank 100 via the nozzle 600 support 300. The first sidewall 110 and the second sidewall 120 are opposite to each other. One end of the induction plate 200 stands upright on the bottom surface of the experimental water tank 100, and the induction plate 200 can move on the bottom surface of the experimental water tank 100. The input end of the high-pressure water pump 400 is connected to a water storage tank, and its output end is connected to the inlet of the target nozzle 600 via a high-pressure pipe 500. The function of the high-pressure water pump 400 is to pump water to the target nozzle 600. The function of the target nozzle 600 is to spray water onto the induction plate 200 through its outlet hole.

[0104] Optionally, the water tank is assembled from an iron frame and a transparent glass panel. The dimensions of the water tank must be sufficient to allow the water jet emitted from nozzle 600 to fully develop during the spraying process; therefore, the typical dimensions of the water tank are 2500*600*900mm. 3 .

[0105] Optionally, the maximum flow rate of the high-pressure water pump 400 is 80 L / min, and the maximum pressure is 40 MPa.

[0106] Optionally, the high-pressure pipe 500 is a pipe connecting the high-pressure water pump 400 and the nozzle 600.

[0107] Furthermore, the experimental setup also includes a first sensor and a second sensor. The first sensor is mounted on the induction plate 200. The function of the first sensor is to detect the impact force parameters experienced by the surface of the induction plate 200 when water is sprayed onto it. The second sensor is mounted at the high-pressure water pump 400, and its function is to detect the flow rate and pressure parameters of the high-pressure water pump 400.

[0108] Based on the above embodiments, the execution process of the high-pressure jet grouting experiment in step 210 will be described and explained below. The step of conducting the high-pressure jet grouting experiment using the experimental device in conjunction with the target nozzle to obtain the first target parameters of the target nozzle may include, but is not limited to, the following steps.

[0109] Step 211: Prepare a water tank and install the target nozzle and two sensors for the experiment. Connect the high-pressure water pump and the target nozzle through a high-pressure pipeline. Pour water into the experimental water tank until it reaches two-thirds of its height. Control the high-pressure water pump to start, and the water is pumped to the target nozzle. The target nozzle sprays the water onto the induction plate to simulate high-pressure jet grouting, i.e., the process of injecting cement slurry into the soil using the high-pressure jet grouting method.

[0110] Step 212: The nozzle outlet cross-section is defined as the plane, and the direction perpendicular to the inside of the water tank is defined as the positive direction of water flow. The distance between the sensing plate and the nozzle is adjusted to the first distance. The flow rate and pressure parameters of the high-pressure water pump are obtained through the second sensor, and the impact force parameters of the sensing plate are obtained through the first sensor. The flow rate, pressure, and impact force parameters are output as the first target parameters.

[0111] The flow rate parameters and pressure parameters obtained in this specific embodiment have the following characteristics: Figure 4 The relationship shown, Figure 4 The diagram shown illustrates the data relationship between flow rate and pressure parameters provided in an embodiment of this application. However, the impact force parameter obtained in this specific embodiment has a relationship with the nozzle diameter as follows: Figure 5 The relationship shown, Figure 5 The figure shown is a data relationship diagram between the impact force parameters and the nozzle diameter provided in the embodiment of this application.

[0112] In this specific embodiment, the first distance is 100 mm. In other embodiments of this application, the first distance can be 50 mm or 70 mm, or other millimeter values. The first distance can be set according to actual conditions, and this application does not impose specific limitations on it.

[0113] Optionally, during the entire high-pressure jet grouting experiment, based on the data detected by the second sensor, the output water pressure of the high-pressure water pump is controlled to remain below a first value, and its output flow rate is adjusted so that the output flow rate slowly increases to a second value. Optionally, the first value is 40 MPa and the second value is 80 L / min, but the first and second values ​​can be set according to the actual situation, and this application does not impose specific limitations on them.

[0114] Optionally, the first and second sensors sample data at a monitoring sampling frequency of 0.1 seconds.

[0115] Reference Figure 6 As shown, Figure 6 The diagram shown is a schematic diagram of the mesh division and boundary definition provided in an embodiment of this application. Figure 6In the diagram, "8" represents the pressure inlet and "9" represents the pressure outlet. The following will explain and elaborate on the process of obtaining the second target parameter in step 220, which involves conducting a high-pressure jet grouting simulation experiment using a finite element model. In this specific embodiment, the high-pressure jet grouting simulation experiment using a finite element model is referred to as the finite element simulated nozzle experiment. The finite element simulated nozzle experiment includes establishing a turbulence model using the commercial software ANSYS 2020, defining geometric properties, generating a mesh, defining boundary conditions, and performing calculations. Step 220 may include, but is not limited to, the following steps.

[0116] Step 221: Construct the finite element model of the nozzle.

[0117] It should be noted that the geometric properties of the finite element model are defined as the geometric dimensions of the aforementioned experimental setup. That is, the geometric dimensions of the finite element model are consistent with the geometric dimensions of the experimental setup. Furthermore, in the finite element simulation of the nozzle experiment, the water jet is defined to flow horizontally, consistent with the aforementioned high-pressure rotary jet grouting experiment.

[0118] Step 222: Determine the mesh size based on the nozzle geometry, and discretize the finite element model into a computational model consisting of several nodes and elements by meshing.

[0119] It should be noted that the geometric dimensions correspond to the structural parameters.

[0120] In the finite element method (FEM), an engineering structure is typically discretized into a computational model composed of various elements; this step is called element meshing. After discretization, the elements are interconnected using element nodes. The settings, properties, and number of element nodes depend on the nature of the problem, the need to describe the deformation, and the computational accuracy. Generally, the finer the element mesh, the more accurate the description of the deformation, i.e., the closer it is to the actual deformation, but the greater the computational load. Therefore, the structure analyzed in the finite element method is no longer the original object or structure, but a discrete object composed of numerous elements connected in a certain way with a new material. Thus, the results obtained by finite element analysis are only approximate. If the number of elements is very large and reasonable, the results obtained will match the actual situation.

[0121] This step determines the meshing network of the finite element model by using the nozzle's geometric dimensions, including the outlet diameter d, inlet diameter D, cone angle θ, straight section length L1, conical section length L2, capillary length L3, and total nozzle length L, where L = L1 + L2 + L3. This completes the element meshing of the finite element model, resulting in the computational model. All elements and nodes in the computational model constitute the computational domain.

[0122] Optionally, in the mesh generation, the smallest element size is set to 0.7 mm, while the largest element size is set to 2 mm. The element clustering gradually becomes denser as it moves from the edges of the finite element model to the mainstream region. A fixed set of ten boundary layer elements is used.

[0123] It should be noted that the obtained computational model satisfies the turbulence equation, and the turbulence equation is satisfied between adjacent elements. The turbulence equation, i.e., the turbulence model, utilizes the finite volume-based solver Fluent to discretize the computational domain into many small volumes, and then uses predefined governing equations to integrate each element. The governing equations adopt the k-ε model to simulate the behavior and characteristics of the fluid.

[0124] In this specific embodiment, the k-ε model is primarily a two-equation model, providing a comprehensive description of turbulence through two partial differential equations. The turbulence equations satisfy the following formula:

[0125]

[0126]

[0127] in:

[0128] Where ρ is the density of water, k is the turbulent kinetic energy, t is time, ε is the turbulent kinetic energy dissipation, and x i x j These are the components in two directions in a two-dimensional coordinate system, u i E represents the component of velocity in the corresponding direction. ij u is the deformation rate. t σ is the eddy current viscosity. k σ ε C s1 C s2 C μ All are constants.

[0129] Optionally, σ k σ is 1.00. ε C is 1.30. s1 C s2 Both are 1.92, C μ It is 0.145.

[0130] Step 223: Determine the boundary conditions, find the cells located on the boundary of the mesh, and assign the boundary conditions to the cells located on the boundary.

[0131] In this step, after meshing, boundary conditions are added to the elements on the boundary of the computational model.

[0132] It should be noted that boundary conditions include three types: pressure inlet, pressure outlet, and wall surface. For example... Figure 6 As shown, the pressure inlet boundary is set at the inlet hole of the target nozzle, the pressure outlet boundary is set on the side of the experimental water box, and the other surfaces of the computational domain of the computational model are wall boundaries.

[0133] Step 224: A high-pressure jet grouting simulation experiment is conducted using a finite element model. During this simulation experiment, the values ​​of non-boundary elements on the mesh are calculated based on the boundary conditions and the calculation model, thereby obtaining the flow velocity parameters at the nozzle outlet, i.e., the second target coefficient.

[0134] In this specific embodiment, the attribute values ​​of other elements are calculated inversely based on the boundary conditions and turbulence equations. The system flow is solved using the pseudo-transient method in ANSYS 2020. The turbulence equations are selected as the solution model in the software to obtain the velocity distribution. The scaling factor is set to 10, and the maximum number of iterations is 2000. Some calculation results are shown below. Figure 7 As shown.

[0135] Based on the above embodiments, this application utilizes a multi-objective decision-making method to select the optimal nozzle design scheme. The multi-objective decision-making method includes establishing an evaluation index system for the nozzle's geometric characteristics and determining the weight of each index using the average correlation coefficient method. Step 230 will be further explained and elaborated below, and step 230 may include, but is not limited to, the following steps.

[0136] Step 231: Determine the geometric characteristics of the target nozzle as the straight section length L1, conical section length L2, capillary length L3, outlet diameter d, inlet diameter D, and cone angle.

[0137] In this step, the evaluation index system for the geometric characteristics of the nozzle is established, which includes six geometric characteristic indexes: straight section length L1, conical section length L2, capillary length L3, outlet diameter d, inlet diameter D, and cone angle.

[0138] Step 232: Calculate the correlation coefficients between the geometric feature index and the first target parameter and the second target parameter.

[0139] In this step, the first target parameter and the second target parameter are collectively referred to as target parameters. The specific steps for determining the weight of each index using the average correlation coefficient method are as follows: calculate the correlation coefficients between the six geometric characteristic indices and the four target parameters—the outlet flow rate, outlet water pressure, and impact force measured in the high-pressure jet grouting experiment, and the flow velocity parameter obtained in the finite element simulation experiment—and then calculate the average correlation coefficient.

[0140] It should be noted that the correlation coefficient satisfies the following formula:

[0141]

[0142] The target parameters include a first target parameter and a second target parameter; X represents the geometric feature index, and Y represents the target parameter; X pi Let be the value corresponding to the i-th sample of the p-th geometric feature index. Y represents the average value of geometric characteristic indicators; qi This is the value corresponding to the i-th sample of the q-th target parameter; This represents the average value of the target parameter.

[0143] Step 233: Calculate the average correlation coefficient between the geometric feature index and the first target parameter and the second target parameter based on the correlation coefficient.

[0144] It should be noted that the average correlation coefficient satisfies the following formula:

[0145]

[0146] Where, r pq r represents the correlation coefficient between the p-th geometric feature index and the q-th target parameter. p This represents the average correlation coefficient.

[0147] Step 234: Determine the weights of the geometric feature indicators based on the average correlation coefficient.

[0148] It should be noted that the weights of the geometric feature indices satisfy the following formula:

[0149]

[0150] Where, r p =r i w i This represents the weight of the i-th geometric feature index.

[0151] Based on the above embodiments, the multi-objective decision-making method used in this application further includes: evaluating each scheme using the TOPSIS method and selecting the optimal scheme, which corresponds to step 300. The TOPSIS method includes generating an evaluation matrix, normalizing the evaluation matrix, calculating the distance of each scheme to the positive ideal solution and the negative ideal solution, and calculating the index value. Step 300 will be described and explained below. Step 300 may include, but is not limited to, the following steps.

[0152] Step 310: Generate an evaluation matrix based on the geometric feature indices and weights of all target nozzles.

[0153] This step corresponds to generating the evaluation matrix in the TOPSIS method. The generated evaluation matrix refers to the values ​​of each indicator in the evaluation index system corresponding to several target nozzles. The generated evaluation matrix is ​​shown in the following formula:

[0154]

[0155] Where m represents the target nozzle number, i.e., the m-th target nozzle; n represents the n-th geometric feature index, a ij This represents the value of the j-th geometric feature index of the i-th target nozzle.

[0156] Step 320: Normalize the geometric feature indicators in the evaluation matrix to obtain the normalized geometric feature indicators, which in turn constitute the normalized evaluation matrix.

[0157] Furthermore, the geometric feature indicators in the normalized evaluation matrix include:

[0158] First, determine the type of geometric feature index, which can be divided into two types: the larger the better and the smaller the better. The larger the better type index is defined as the index value being as high as possible, while the smaller the better type index is defined as the index value being as low as possible. These definitions are technical terms used in this field and will not be explained further.

[0159] When the geometric characteristic index is determined to be a "the larger the better" type of index, i.e., the larger the index, the better, the geometric characteristic index is normalized using the following formula:

[0160]

[0161] When the geometric characteristic index is a "smaller is better" type of index, it is normalized using the following formula:

[0162]

[0163] Among them, a ij * It is defined as the value of the j-th geometric feature index of the i-th target nozzle in the normalized evaluation matrix.

[0164] Then, after all geometric feature indicators have been normalized, the normalized evaluation matrix is ​​reconstructed using all the normalized geometric feature indicators.

[0165] Step 330: Calculate the positive ideal solution and the negative ideal solution based on the normalized evaluation matrix.

[0166] It should be noted that the ideal solution satisfies the following formula:

[0167]

[0168] Among them, s i * For the positive ideal solution, a ij *This represents the value of the j-th geometric feature index of the i-th target nozzle in the normalized evaluation matrix, i.e., the value of the j-th geometric feature index of the i-th scheme, where the i-th scheme corresponds to the i-th target nozzle; a j * This represents the value of the j-th geometric feature index.

[0169] It should be noted that the negative ideal solution satisfies the following formula:

[0170]

[0171] Among them, s i 0 It is a negative ideal solution.

[0172] In this step, the TOPSIS method uses "positive ideal solution" and "negative ideal solution" as its two fundamental concepts. A positive ideal solution is a hypothetical optimal solution (or solution) where all attribute values ​​are the best among all alternatives. A negative ideal solution, on the other hand, is a hypothetical worst solution (or solution) where all attribute values ​​are the worst among all alternatives. The rule for ranking the alternatives is to compare each alternative with both the positive and negative ideal solutions. If an alternative is closest to the positive ideal solution while being far from the negative ideal solution, then that alternative is the best among the alternatives.

[0173] Step 340: Calculate the index value of the i-th scheme, i.e. the index value of the i-th target nozzle, based on the positive ideal solution and the negative ideal solution.

[0174] It should be noted that the index value of the i-th scheme satisfies the following formula:

[0175]

[0176] Among them, s i 0 For the negative ideal solution, s i * For the positive ideal solution, f i Let be the index value of the i-th scheme.

[0177] Step 350: Based on the index values ​​of all target nozzles, determine the target nozzle with the largest index value and use it as the optimal nozzle for performing high-pressure jet grouting.

[0178] In this step, a larger index value indicates that the solution is closer to the positive ideal solution and further away from the negative ideal solution. Conversely, a smaller index value indicates that the solution is further away from the positive ideal solution and closer to the negative ideal solution. Therefore, this application selects the optimal solution as f. i The largest design scheme is to implement high-pressure jet grouting.

[0179] Reference Figure 8 and Figure 9 As shown, Figure 8 The figure shown is a graph illustrating the weighted calculation results of the nozzle geometric feature indices according to an embodiment of this application. Figure 9 The figure shown is a graph of the nozzle index calculation results provided in the embodiment of this application. Figure 8 Among the various indicator parameters shown, the outlet diameter *d* has the largest weight value, 0.293, indicating that in the application scenario corresponding to this embodiment, the outlet diameter *d* has the greatest impact on the construction effect. Therefore, the value of the outlet diameter *d* needs to be optimized as much as possible in subsequent designs. Figure 9 The calculated index values ​​for the nozzles shown are as follows: Nozzle 6 has an index value of 0.786, which is the highest. This index value actually corresponds to the nozzle's score. Therefore, Nozzle 6 is the optimal nozzle for performing high-pressure rotary jet grouting. The structural parameters of this nozzle are: outlet diameter d = 2.40 mm, inlet diameter D = 4.24 mm, cone angle θ = 26°, straight section length L1 = 9.90 mm, conical section length L2 = 4 mm, capillary length L3 = 21.10 mm, and total nozzle length L = 35 mm.

[0180] Reference Figure 10 As shown, Figure 10 The diagram shown illustrates the principle of the method for determining the high-pressure rotary jet grouting nozzle provided in this application. The principle of the determination method provided in this application will be explained below with an example.

[0181] The first step, high-pressure jet grouting experiment: First, data on commonly used nozzles were collected, the experimental setup was built and debugged, and the monitoring frequency of the sensors was set. The experimental setup was started, and the data was monitored through the sensors to obtain the relationship between the nozzle structure and the outlet flow rate, outlet water pressure, and impact force parameters.

[0182] The second step is numerical simulation: A numerical simulation experiment is designed based on the finite element method, a geometric model is built, and its corresponding boundary conditions are determined. The geometric model is discretized using a mesh, ensuring that each element in the discretized model satisfies the turbulent kinetic energy model, i.e., the k-ε model. Then, the k-ε model is solved inversely using the finite element analysis method to obtain the relationship between the nozzle structure and the flow velocity parameters.

[0183] The third step is the selection of the optimal solution: This involves determining the nozzle parameter index system, which includes six indicators, and then creating an evaluation matrix based on these six indicators. Simultaneously, the weights of the indicators are calculated. The evaluation matrix is ​​then normalized, and positive and negative ideal solutions are calculated based on the normalized matrix. These two ideal solutions are used to evaluate the nozzle, i.e., the design scheme, and the corresponding index values, thus obtaining the optimal nozzle design scheme.

[0184] This application also provides a storage medium storing processor-executable instructions, which, when executed by a processor, are used to perform a method for determining a high-pressure rotary jet grouting nozzle.

[0185] This application utilizes model experiments and finite element simulations, combined with a multi-objective decision-making method, to select nozzles for high-pressure jet grouting. It not only fully considers the six dimensional parameters of the nozzles that affect the grouting effect in high-pressure jet grouting, but also takes into account both practical and theoretical calculations, improving the rationality of nozzle selection. It overcomes the shortcomings of existing technologies that do not consider the influence of nozzle size on grouting effect, reduces the impact of nozzle size on jet energy attenuation, and avoids the phenomenon of poor quality of the jet grout due to energy attenuation, thereby improving construction efficiency and construction effect.

[0186] In addition, embodiments of this application also provide a storage medium storing processor-executable instructions, which, when executed by a processor, are used to perform a homogenizing furnace temperature control method.

[0187] The terms “first,” “second,” “third,” “fourth,” etc. (if present) in the specification and accompanying drawings of this application are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that such data can be interchanged where appropriate so that the embodiments of this application described herein can be implemented, for example, in orders other than those illustrated or described herein. Furthermore, the terms “comprising” and “having,” and any variations thereof, are intended to cover a non-exclusive inclusion; for example, a process, method, system, product, or apparatus that comprises a series of steps or units is not necessarily limited to those steps or units explicitly listed, but may include other steps or units not explicitly listed or inherent to such processes, methods, products, or apparatuses.

[0188] It should be understood that in this application, "at least one (item)" means one or more, and "more than" means two or more. "And / or" is used to describe the relationship between related objects, indicating that three relationships can exist. For example, "A and / or B" can represent three cases: only A exists, only B exists, and both A and B exist simultaneously, where A and B can be singular or plural. The character " / " generally indicates that the preceding and following related objects are in an "or" relationship. "At least one (item) of the following" or similar expressions refer to any combination of these items, including any combination of single or plural items. For example, at least one (item) of a, b, or c can represent: a, b, c, "a and b", "a and c", "b and c", or "a and b and c", where a, b, and c can be single or multiple.

[0189] In the several embodiments provided in this application, it should be understood that the disclosed systems, apparatuses, and methods can be implemented in other ways. For example, the apparatus embodiments described above are merely illustrative; for instance, the division of units is only a logical functional division, and in actual implementation, there may be other division methods. For example, multiple units or components may be combined or integrated into another system, or some features may be ignored or not executed. Furthermore, the coupling or direct coupling or communication connection shown or discussed may be indirect coupling or communication connection through some interfaces, apparatuses, or units, and may be electrical, mechanical, or other forms.

[0190] The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the units can be selected to achieve the purpose of this embodiment according to actual needs.

[0191] Furthermore, the functional units in the various embodiments of this application can be integrated into one processing unit, or each unit can exist physically separately, or two or more units can be integrated into one unit. The integrated unit can be implemented in hardware or as a software functional unit.

[0192] If the integrated unit is implemented as a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of this application, in essence, or the part that contributes to the prior art, or all or part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of this application. The aforementioned storage medium includes various media capable of storing program code, such as read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0193] The step numbers in the above method embodiments are set only for ease of explanation and do not limit the order of the steps. The execution order of each step in the embodiments can be adaptively adjusted according to the understanding of those skilled in the art.

Claims

1. A method for determining a high-pressure rotary jet grouting nozzle, characterized in that, Includes the following steps: Obtain several target nozzles and their corresponding target nozzle numbers, and build an experimental device to simulate high-pressure jet grouting. For each of the target nozzles, perform the following steps once: A high-pressure rotary jet grouting experiment was conducted using the experimental apparatus in conjunction with the target nozzle to obtain the first target parameters of the target nozzle; wherein, the first target parameters carry the corresponding target nozzle number, and the first target parameters include impact force parameters, flow rate parameters, and pressure parameters; A finite element model of the target nozzle is established, and a high-pressure rotary jet grouting simulation experiment is performed on the finite element model to obtain the second target parameters of the target nozzle; wherein, the second target parameters carry the corresponding target nozzle number, and the second target parameters include flow velocity parameters; Determine the geometric feature index of the target nozzle, calculate the average correlation coefficient between the geometric feature index and the first target parameter and the second target parameter, and determine the weight of the geometric feature index based on the average correlation coefficient; When all the target nozzles have completed the above steps, an evaluation matrix is ​​generated based on the geometric feature indicators and their weights of all the target nozzles. The index value of each target nozzle is calculated using the evaluation matrix, and the target nozzle with the largest index value is selected as the optimal nozzle for performing high-pressure jet grouting.

2. The method for determining a high-pressure rotary jet grouting nozzle according to claim 1, characterized in that, The experimental apparatus includes: an experimental water tank, a high-pressure water pump, an induction plate, a high-pressure pipeline, a nozzle bracket, and a second sensor. The first side wall of the experimental water tank has a water outlet. The target nozzle is fixed to the second side wall of the experimental water tank via the nozzle bracket. One end of the induction plate stands vertically at the bottom of the experimental water tank. The output end of the high-pressure water pump is connected to the target nozzle via the high-pressure pipeline. The input end of the high-pressure water pump is connected to a water storage tank. The high-pressure water pump is used to pump water to the target nozzle, which sprays water onto the induction plate. A first sensor is installed on the induction plate to detect the impact force parameters on the surface of the induction plate when water is sprayed onto it. The second sensor is installed at the high-pressure water pump to detect the flow rate and pressure parameters of the high-pressure water pump.

3. The method for determining a high-pressure rotary jet grouting nozzle according to claim 2, characterized in that, The high-pressure rotary jet grouting experiment conducted using the experimental apparatus in conjunction with the target nozzle to obtain the first target parameters of the target nozzle includes: The high-pressure water pump and the target nozzle are connected through the high-pressure pipeline. The high-pressure water pump is turned on and water is pumped to the target nozzle. The target nozzle sprays water onto the induction plate to simulate high-pressure jet grouting. The distance between the sensing plate and the target nozzle is adjusted to a first distance. The flow rate and pressure parameters of the high-pressure water pump are obtained through the second sensor, and the impact force parameters of the sensing plate are obtained through the first sensor. The flow rate, pressure parameters and impact force parameters are then output.

4. The method for determining a high-pressure rotary jet grouting nozzle according to claim 1, characterized in that, The process involves establishing a finite element model of the target nozzle, conducting a high-pressure jet grouting simulation experiment on the finite element model, and obtaining the second target parameters of the target nozzle, including: Construct a finite element model of the target nozzle, wherein the geometric dimensions of the finite element model are consistent with the geometric dimensions of the experimental device; The mesh is determined based on the geometric dimensions of the target nozzle. The finite element model is discretized into a computational model consisting of several nodes and elements through the mesh. The computational model satisfies the turbulence equation. Determine the boundary conditions, find the cells located on the boundary of the divided grid, and assign the boundary conditions to the cells located on the boundary of the divided grid; A high-pressure jet grouting simulation experiment was conducted using the finite element model. During this simulation experiment, the values ​​of the non-boundary elements located in the divided mesh were calculated based on the boundary conditions and the calculation model, thereby obtaining the flow velocity parameters at the outlet of the target nozzle.

5. The method for determining a high-pressure rotary jet grouting nozzle according to claim 4, characterized in that, The turbulence equation is: in: Where ρ is the density of water, k is the turbulent kinetic energy, t is time, ε is the turbulent kinetic energy dissipation, and x i x j These are the components in two directions in a two-dimensional coordinate system, u i E represents the component of velocity in the corresponding direction. ij u is the deformation rate. t σ is the eddy current viscosity. k σ ε C s1 C s2 C μ All are constants.

6. The method for determining a high-pressure rotary jet grouting nozzle according to claim 1, characterized in that, The step of determining the geometric feature index of the target nozzle and calculating the average correlation coefficient between the geometric feature index and the first target parameter and the second target parameter includes: The geometric characteristics of the target nozzle are determined as follows: outlet diameter, inlet diameter, cone angle, straight section length, conical section length, and capillary length. Calculate the correlation coefficient between the geometric feature index and the first target parameter and the second target parameter, wherein the correlation coefficient satisfies the following formula: The target parameters include a first target parameter and a second target parameter; X represents the geometric feature index, and Y represents the target parameter; X pi Let be the value corresponding to the i-th sample of the p-th geometric feature index. Y represents the average value of geometric characteristic indicators; qi Let be the value corresponding to the i-th sample of the q-th target parameter. This represents the average value of the target parameter; Based on the correlation coefficient, the average correlation coefficient between the geometric feature index and the first target parameter and the second target parameter is calculated, and the average correlation coefficient satisfies the following formula: Where, r pq r represents the correlation coefficient between the p-th geometric feature index and the q-th target parameter. p This represents the average correlation coefficient.

7. The method for determining a high-pressure rotary jet grouting nozzle according to claim 6, characterized in that, The weights of the geometric feature indices satisfy the following formula: Where, r p =r i w i This represents the weight of the i-th geometric feature index.

8. The method for determining a high-pressure rotary jet grouting nozzle according to claim 7, characterized in that, The step of generating an evaluation matrix based on the geometric feature indices and weights of all the target nozzles, calculating the index value of each target nozzle using the evaluation matrix, and selecting the target nozzle with the largest index value as the optimal nozzle for performing high-pressure jet grouting includes: Based on the geometric feature indices and weights of all the target nozzles, the following evaluation matrix is ​​generated: Where m represents the target nozzle number, i.e., the m-th target nozzle; n represents the n-th geometric feature index, a ij This represents the j-th geometric feature index of the i-th target nozzle; The geometric feature indices in the evaluation matrix are normalized to obtain normalized geometric feature indices, which in turn constitute the normalized evaluation matrix. Based on the normalized evaluation matrix, calculate the positive ideal solution and the negative ideal solution respectively; The positive ideal solution satisfies the following formula: Among them, s i * For the positive ideal solution, a ij * This represents the value of the j-th geometric feature index of the i-th target nozzle in the normalized evaluation matrix, i.e., the value of the j-th geometric feature index of the i-th scheme, where the i-th scheme corresponds to the i-th target nozzle; a j * This represents the value of the j-th geometric feature index; The negative ideal solution satisfies the following formula: Among them, s i 0 It is a negative ideal solution; Based on the positive and negative ideal solutions, the index value of the i-th scheme is calculated, and the index value of the i-th scheme satisfies the following formula: Among them, s i 0 For the negative ideal solution, s i * For the positive ideal solution, f i Let be the index value of the i-th scheme; Based on the index values ​​of all the target nozzles, the target nozzle with the largest index value is determined and selected as the optimal nozzle for performing high-pressure jet grouting.

9. The method for determining a high-pressure rotary jet grouting nozzle according to claim 8, characterized in that, The geometric feature indices in the evaluation matrix are normalized to obtain normalized geometric feature indices, which then constitute the normalized evaluation matrix, including: Determine the type of the geometric feature index, which includes either the larger the better type or the smaller the better type; When the geometric feature index is a type where a larger value is better, the geometric feature index is normalized using the following formula: When the geometric feature index is a smaller-than-optimal type, the geometric feature index is normalized using the following formula: Among them, a ij * This represents the value of the j-th geometric feature index of the i-th target nozzle in the normalized evaluation matrix; Once all geometric feature indicators have been normalized, the matrix is ​​reconstructed using all the normalized geometric feature indicators to obtain the normalized evaluation matrix.

10. A storage medium storing processor-executable instructions, characterized in that, The processor-executable instructions, when executed by the processor, are used to perform a method for determining a high-pressure rotary jet grouting nozzle as described in any one of claims 1-9.

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