Calculation Method and System for Polymer Grouting Volume of Ballastless Track Subgrade Settlement in High-Speed ​​Railway Operation

Abstract

This invention discloses a method and system for calculating the amount of polymer grouting for the settlement of ballastless track subgrade in high-speed railway operation. The method includes: S100, collecting geomechanical, track condition, and dynamic load parameters of operating trains; S200, introducing a dynamic correction coefficient to quantify the impact of train dynamic loads, correcting the static uniformly distributed load to a comprehensive load, and correcting the original lifting force formula; S300, establishing the relationship between the expansion force of the polymer grouting material and the density of the corresponding solidified body, correcting the core parameters for different geological conditions, and obtaining the appropriate density by combining the material property formulas; S400, establishing a nonlinear mapping model of environmental factors and material properties, using a support vector machine algorithm to optimize the compensation coefficient, and correcting the appropriate density to offset the calculation deviation caused by environmental influences; S500, calculating the grouting volume differently according to the settlement degree of different areas of a single track slab, and accurately allocating the grouting volume through zoning. This solves the problem that the density of grouting at the bottom of ballastless track in existing technologies relies solely on empirical judgment.

Description

Technical Field

[0001] This invention belongs to the field of roadbed grouting technology, and more specifically, relates to a method and system for calculating the amount of polymer grouting for settlement of ballastless track roadbed in high-speed railway operation. Background Technology

[0002] Subgrade engineering is a crucial subgrade structure for high-speed railways, and its stability is a prerequisite for ensuring the smoothness of the railway line. Under the combined effects of the cyclic dynamic loads of high-speed trains and the harsh external service environment, uneven settlement has occurred in the subgrades of some high-speed railway lines, seriously affecting the safe operation of trains. Therefore, research on settlement repair methods for ballastless track subgrades of operating high-speed railways is of paramount importance for quickly restoring line smoothness.

[0003] Currently, the main method for repairing roadbed settlement is to use polymer grouting materials for lifting and repair. However, there is no calculation method for the amount of grout to be injected during grouting construction. It is impossible to theoretically determine whether the bottom of the ballastless track structure is filled densely. Construction can only be carried out based on engineering experience, which leads to the grouting at the bottom of the ballastless track structure being not dense, which seriously affects the quality and durability of the project. Summary of the Invention

[0004] To address the aforementioned deficiencies or improvement needs of existing technologies, this invention provides a method and system for calculating the amount of polymer grouting for ballastless track subgrade settlement in high-speed railways. It theoretically proposes a formula for calculating the lifting force of grouting for subgrade settlement. Then, based on the established relationship between the expansion force of the polymer grouting material and the density of the corresponding solidified body, the density of the solidified grouting material in actual construction is calculated. Finally, based on specific calculation parameters, the grouting volume for each ballastless track slab is calculated, providing a theoretical method for calculating the amount of polymer grouting for subgrade settlement. This solves the problem that the density of grouting at the bottom of ballastless track in existing technologies relies solely on empirical judgment. It not only allows for theoretical calculation of grouting volume and ensures grouting density but also guides actual on-site construction, ensuring project quality and safe train operation.

[0005] To achieve the above objectives, according to a first aspect of the present invention, a method for calculating the polymer grouting volume for settlement of ballastless track subgrade in high-speed railway operation is provided, specifically including the following steps:

[0006] S100: Taking the settlement area as the core, it comprehensively collects geomechanical, track condition and dynamic load parameters of operating trains through multi-dimensional detection methods.

[0007] S200. Establish a theoretical model for polymer grouting and lifting to repair the settlement of ballastless track subgrade. Introduce a dynamic correction coefficient to quantify the influence of train dynamic load, correct the static uniformly distributed load to a comprehensive load, and correct the original lifting force formula.

[0008] S300. Establish the relationship between the expansion force of polymer grouting material and the density of the corresponding solidified body. Adjust the core parameters for different geological conditions and combine the material property formulas to obtain the appropriate density.

[0009] S400. Establish a nonlinear mapping model between environmental factors and material properties, use the support vector machine algorithm to optimize the compensation coefficient, and correct the fit density to offset the calculation deviation caused by environmental influences.

[0010] S500: Based on the settlement degree of different areas of a single track slab, the grouting volume is calculated differently, and the grouting volume is accurately allocated by zone.

[0011] Furthermore, step S100 specifically includes the following steps:

[0012] S101. Taking the ballastless track settlement area as the center, and combining the track slab layout, roadbed structure distribution and geological survey data, delineate the data collection boundary and clarify the spatial range and accuracy requirements of the parameters to be collected.

[0013] S102. Obtain the thickness, compaction distribution and underlying soil properties of the graded crushed stone layer in the subgrade using ground-penetrating radar. Drill samples to prepare graded crushed stone specimens, test the internal friction angle and cohesion, determine the shear strength and vertical load of the graded crushed stone through in-situ load tests, and record the spatial distribution data of each parameter.

[0014] S103. Using a track geometry measuring instrument, total station and displacement sensor, accurately measure the settlement distribution of a single track slab in the settlement area and the target height of grouting. Obtain the dimensions of the ballastless track structure, the number of grouting holes in each slab and the weight distribution of the track slab through track structure detection, and determine the initial uniformly distributed load generated by the ballastless track structure.

[0015] S104. Deploy dynamic strain sensors, acceleration sensors, and load monitoring equipment to continuously collect dynamic load data of the track structure of train pairs under different train numbers and operating speeds, statistically analyze the peak value, frequency, and duration characteristics of the dynamic load, and calculate the equivalent value of the dynamic load.

[0016] Furthermore, step S200 specifically includes the following steps:

[0017] S201. The theoretical model for polymer grouting and lifting of ballastless track subgrade settlement repair is defined as consisting of ballastless track structure, graded crushed stone subgrade layer, grouting pipe and grouting material. Based on the parameters collected in the early stage, the additional stress expansion coefficient and grouting diffusion radius are determined.

[0018] S202. By analyzing the dynamic load data of the train, a dynamic correction coefficient is introduced to correct the static uniformly distributed load into a comprehensive load that integrates dynamic and static loads, thereby quantifying the additional impact of the train's dynamic load on the lifting force.

[0019] S203. Based on the logic of the original lifting force formula, the comprehensive load is incorporated and the formula structure is optimized to obtain a modified total lifting force calculation formula that can reflect the dynamic load effect.

[0020] S204. Through grouting tests in typical settlement sections, compare the calculated lifting force with the measured value using the model, and then calibrate the dynamic correction coefficient and the additional stress amplification coefficient in reverse.

[0021] S205. Based on the differences in geomechanical parameters, the splitting angle and failure shear surface parameters of graded crushed stone are modified, and the calculation logic of the shear surface in the formula is optimized to adapt to complex geological conditions.

[0022] Furthermore, in step S201, the set of basic physical quantities in the theoretical model for polymer grouting and lifting of ballastless track subgrade settlement repair is as follows:

[0023] ,

[0024] in, This is the additional stress amplification factor.

[0025] The static uniformly distributed load is for the ballastless track structure.

[0026] The diffusion radius of the polymer grouting material.

[0027] The thickness of graded crushed stone overlying the split layer.

[0028] The internal friction angle of graded crushed stone.

[0029] To improve the cohesion of graded crushed stone,

[0030] For the vertical load of the graded crushed stone layer,

[0031] The splitting angle of graded crushed stone;

[0032] Based on multi-dimensional data collection, initial measured values ​​were assigned to each parameter:

[0033] .

[0034] Furthermore, in step S202, based on the statistical results of the measured data, the following is obtained:

[0035] ,

[0036] in, This represents the equivalent value of the train's dynamic load.

[0037] For dynamic correction coefficients, ;

[0038] Thus, the comprehensive load correction formula is obtained: This enables the transformation of static loads into combined dynamic and static loads.

[0039] Furthermore, in step S203, the static uniformly distributed load in the original formula is... Using comprehensive load By making substitutions, we obtain the corrected total lift formula, which is:

[0040] ,

[0041] in, For the shear strength of graded crushed stone, ;

[0042] In step S204, the measured uplift force was obtained by grouting tests in a typical settlement section. The deviation rate was calculated based on the measured lifting force. :

[0043] ,

[0044] in, To correct the calculated values ​​of the formula;

[0045] like The parameters are calibrated in reverse using the least squares method:

[0046] ,

[0047] Until The calibrated additional stress amplification factor was obtained. After calibration Dynamic correction factor;

[0048] in, The calibration increment for the additional stress amplification factor.

[0049] This is the calibration increment for the dynamic correction coefficient.

[0050] Furthermore, step S300 specifically includes the following steps:

[0051] S301. Prepare standard polymer specimens covering typical gradients according to the commonly used density range in engineering, simulate the actual grouting environment to control temperature and humidity, ensure the consistency between the specimens and the engineering scenario, and provide reliable samples for subsequent expansion force testing.

[0052] S302. A pressure-displacement monitoring system is used to monitor the expansion force of specimens with different densities throughout the process, record the maximum expansion force of each group of specimens, remove abnormal data and take the average value to build the original data basis of density-expansion force.

[0053] S303. Based on the measured density-maximum expansion force data set, a fundamental mathematical relationship between polymer expansion force and solidified body density is established through linear function fitting method, clarifying the quantitative correlation between the two.

[0054] S304. For different geological types, introduce geological correction coefficients to adapt the core parameters in the basic relational formula so that the relational formula can match the mechanical properties of specific geological conditions.

[0055] S305. Combine the modified lifting force formula with the geologically adapted expansion force relationship, and use "expansion force meets lifting force requirements" as the constraint condition to solve for the density of the solidified grouting material that is adapted to the current geological and load conditions.

[0056] Furthermore, step S400 specifically includes the following steps:

[0057] S401. Identify the key environmental factors affecting polymer performance, and clarify the dynamic range and characteristic parameters of each factor through on-site monitoring and historical data statistics, so as to provide the basis for input variables for subsequent model construction;

[0058] S402. Using the identified environmental factors as input and the polymer expansion force deviation rate as output, a nonlinear mapping model of environmental factors and material properties is constructed based on experimental and measured data. The model structure is optimized through cross-validation to ensure that the model can accurately reflect the influence of environmental changes on material properties.

[0059] S403. Using the output of the nonlinear mapping model as the basic data, the support vector machine algorithm is used to perform deviation quantification analysis, and the dynamic compensation coefficient adapted to the real-time environmental conditions is optimized to quantify the density deviation caused by the environment.

[0060] S404. Combining the optimized environmental compensation coefficient, the previously obtained adaptation density is dynamically corrected to offset the deviation in grouting volume calculation caused by environmental factors, and the final adaptation density that takes into account geological, load and environmental conditions is obtained.

[0061] Furthermore, step S500 specifically includes the following steps:

[0062] S501. Based on the settlement monitoring data of individual track slabs, divide the areas into severe, moderate, and mild settlement zones and no settlement zone according to the settlement degree gradient, and clarify the zone boundaries.

[0063] S502. Extract the geomechanical, track condition and environmental parameters corresponding to each zone. Combine the calculation results of S200-S400 in the early stage to determine the comprehensive load, final matching density, grouting hole distribution ratio and target value of lift height for each zone, so as to ensure that the parameters are accurately matched with the actual conditions of the zone.

[0064] S503. Based on the core formula for grouting volume, substitute the specific parameters of each zone to calculate the grouting volume of each zone.

[0065] S504. Summarize the grouting volume of each zone to obtain the total grouting volume. Combine the track structure safety threshold and material performance limit to verify the rationality. Fine-tune the grouting volume of each zone to balance the settlement repair needs and track structure safety.

[0066] S505. Based on the grouting volume of each zone and the spatial distribution of grouting holes, determine the specific grouting volume of a single grouting hole. For grouting holes that span multiple zones, allocate the grouting volume according to the area ratio of each zone.

[0067] According to another aspect of the present invention, a system for calculating the polymer grouting volume for settlement of ballastless track subgrade in high-speed railway operation is provided, comprising:

[0068] Parameter acquisition module: Used to comprehensively collect geomechanical, track condition and dynamic load parameters of operating trains, with the settlement area as the core, through multi-dimensional detection methods;

[0069] Dynamic correction module: used to establish a theoretical model for polymer grouting and lifting of ballastless track subgrade settlement repair, introduce dynamic correction coefficient to quantify the influence of train dynamic load, correct static uniformly distributed load to comprehensive load, and correct the original lifting force formula;

[0070] Geological Correction Module: Used to establish the relationship between the expansion force of polymer grouting materials and the density of the corresponding solidified body. For different geological correction core parameters, the appropriate density is obtained by combining the material property formulas.

[0071] Compensation and Correction Module: Used to establish a nonlinear mapping model between environmental factors and material properties, optimize the compensation coefficients using the support vector machine algorithm, and correct the fit density to offset the calculation deviations caused by environmental influences;

[0072] Grouting distribution module: Used to distribute grouting volume according to the settlement degree of different areas of a single track slab, and to accurately distribute grouting volume by zone.

[0073] In summary, compared with the prior art, the above-described technical solutions conceived by this invention can achieve the following beneficial effects:

[0074] 1. The present invention provides a method for calculating the amount of polymer grouting for the settlement of ballastless track subgrade in high-speed railways. It theoretically proposes a formula for calculating the lifting force of grouting for subgrade settlement. Then, based on the established relationship between the expansion force of the polymer grouting material and the density of the corresponding solidified body, the density of the solidified grouting material in actual construction is calculated. Finally, based on specific calculation parameters, the amount of grouting for each ballastless track slab is calculated, providing a theoretical method for calculating the amount of polymer grouting for subgrade settlement. This solves the problem in existing technologies where the density of grouting at the bottom of ballastless track is judged solely by experience. It not only allows for the theoretical calculation of grouting amount, ensuring grouting density, but also guides actual on-site construction, ensuring project quality and safe train operation.

[0075] 2. The method for calculating the amount of polymer grouting for settlement of ballastless track subgrade in high-speed railway operation of the present invention can accurately calculate the amount of polymer grouting for settlement of ballastless track subgrade before construction in complex and ever-changing engineering practice. This calculation method is simple, can ensure the density of grouting, ensure the quality of the project and the safe operation of the train, and is of great significance for accurately guiding the engineering design and construction. Attached Figure Description

[0076] Figure 1 This is a flowchart illustrating a method for calculating the amount of polymer grouting for settlement of ballastless track subgrade in high-speed railway operation, according to an embodiment of the present invention.

[0077] Figure 2 This is a schematic diagram of the theoretical model for polymer grouting and lifting of ballastless track subgrade settlement repair according to an embodiment of the present invention;

[0078] Figure 3 This is a schematic diagram showing the relationship between the expansion force of the polymer grouting material and the density of the corresponding solidified body in an embodiment of the present invention. Detailed Implementation

[0079] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention. Furthermore, the technical features involved in the various embodiments of this invention described below can be combined with each other as long as they do not conflict with each other.

[0080] Example 1

[0081] like Figure 1 As shown, this embodiment of the invention provides a method for calculating the amount of polymer grouting for settlement of ballastless track subgrade in high-speed railway operation, specifically including the following steps:

[0082] S100: Taking the settlement area as the core, it comprehensively collects geomechanical, track condition and dynamic load parameters of operating trains through multi-dimensional detection methods.

[0083] S200. Establish a theoretical model for polymer grouting and lifting to repair the settlement of ballastless track subgrade. Introduce a dynamic correction coefficient to quantify the influence of train dynamic load, correct the static uniformly distributed load to a comprehensive load, and correct the original lifting force formula.

[0084] S300. Establish the relationship between the expansion force of polymer grouting material and the density of the corresponding solidified body. Adjust the core parameters for different geological conditions and combine the material property formulas to obtain the appropriate density.

[0085] S400. Establish a nonlinear mapping model between environmental factors and material properties, use the support vector machine algorithm to optimize the compensation coefficient, and correct the fit density to offset the calculation deviation caused by environmental influences.

[0086] S500: Based on the settlement degree of different areas of a single track slab, the grouting volume is calculated differently, and the grouting volume is accurately allocated by zone.

[0087] Step S100 specifically includes the following steps:

[0088] S101. Taking the ballastless track settlement area as the center, and combining the track slab layout, roadbed structure distribution and geological survey data, delineate the data collection boundary and clarify the spatial range and accuracy requirements of the parameters to be collected.

[0089] S102. Obtain the thickness, compaction distribution and underlying soil properties of the graded crushed stone layer in the subgrade using ground-penetrating radar. Drill samples to prepare graded crushed stone specimens, test the internal friction angle and cohesion, determine the shear strength and vertical load of the graded crushed stone through in-situ load tests, and record the spatial distribution data of each parameter.

[0090] S103. Using a track geometry measuring instrument, total station and displacement sensor, accurately measure the settlement distribution of a single track slab in the settlement area and the target height of grouting. Obtain the dimensions of the ballastless track structure, the number of grouting holes in each slab and the weight distribution of the track slab through track structure detection, and determine the initial uniformly distributed load generated by the ballastless track structure.

[0091] S104. Deploy dynamic strain sensors, acceleration sensors, and load monitoring equipment to continuously collect dynamic load data of the track structure of train pairs under different train numbers and operating speeds, statistically analyze the peak value, frequency, and duration characteristics of the dynamic load, and calculate the equivalent value of the dynamic load.

[0092] like Figure 2 As shown, step S200 specifically includes the following steps:

[0093] S201. The theoretical model for polymer grouting and lifting of ballastless track subgrade settlement repair is defined as consisting of ballastless track structure, graded crushed stone subgrade layer, grouting pipe and grouting material. Based on the parameters collected in the early stage, the additional stress expansion coefficient and grouting diffusion radius are determined.

[0094] S202. By analyzing the dynamic load data of the train, a dynamic correction coefficient is introduced to correct the static uniformly distributed load into a comprehensive load that integrates dynamic and static loads, thereby quantifying the additional impact of the train's dynamic load on the lifting force.

[0095] S203. Based on the logic of the original lifting force formula, the comprehensive load is incorporated and the formula structure is optimized to obtain a modified total lifting force calculation formula that can reflect the dynamic load effect.

[0096] S204. Through grouting tests in typical settlement sections, compare the calculated lifting force with the measured value using the model, and then calibrate the dynamic correction coefficient and the additional stress amplification coefficient in reverse.

[0097] S205. Based on the differences in geomechanical parameters, the splitting angle and failure shear surface parameters of graded crushed stone are modified, and the calculation logic of the shear surface in the formula is optimized to adapt to complex geological conditions.

[0098] In step S201, the set of basic physical quantities in the theoretical model for polymer grouting and lifting of ballastless track subgrade settlement repair is as follows:

[0099] ,

[0100] in, This is the additional stress amplification factor.

[0101] The static uniformly distributed load is for the ballastless track structure.

[0102] The diffusion radius of the polymer grouting material.

[0103] The thickness of graded crushed stone overlying the split layer.

[0104] The internal friction angle of graded crushed stone.

[0105] To improve the cohesion of graded crushed stone,

[0106] For the vertical load of the graded crushed stone layer,

[0107] The splitting angle of graded crushed stone;

[0108] Based on multi-dimensional data collection, initial measured values ​​were assigned to each parameter:

[0109] .

[0110] Furthermore, in step S202, based on the statistical results of the measured data, the following is obtained:

[0111] ,

[0112] in, This represents the equivalent value of the train's dynamic load.

[0113] For dynamic correction coefficients, ;

[0114] Thus, the comprehensive load correction formula is obtained: This enables the transformation of static loads into combined dynamic and static loads.

[0115] In step S203, the static uniformly distributed load in the original formula is... Using comprehensive load By making substitutions, we obtain the corrected total lift formula, which is:

[0116] ,

[0117] in, For the shear strength of graded crushed stone, .

[0118] In step S204, the measured uplift force was obtained by grouting tests in a typical settlement section. The deviation rate was calculated based on the measured lifting force. :

[0119] ,

[0120] in, To correct the calculated values ​​of the formula;

[0121] like The parameters are calibrated in reverse using the least squares method:

[0122] ,

[0123] Until The calibrated additional stress amplification factor was obtained. After calibration Dynamic correction factor;

[0124] in, The calibration increment for the additional stress amplification factor.

[0125] This is the calibration increment for the dynamic correction coefficient.

[0126] In step S205, the splitting angle of the graded crushed stone is corrected based on address partitioning, specifically as follows:

[0127] ,

[0128] in, This is the splitting angle correction factor for the i-th geological zone, derived from the friction angle within the zone. The fitting yielded:

[0129] ,

[0130] The calculation logic for the shear surface in the optimized formula is as follows: [The original formula is then modified...] Replace with .

[0131] like Figure 3 As shown, step S300 specifically includes the following steps:

[0132] S301. Prepare standard polymer specimens covering typical gradients according to the commonly used density range in engineering, simulate the actual grouting environment to control temperature and humidity, ensure the consistency between the specimens and the engineering scenario, and provide reliable samples for subsequent expansion force testing.

[0133] S302. A pressure-displacement monitoring system is used to monitor the expansion force of specimens with different densities throughout the process, record the maximum expansion force of each group of specimens, remove abnormal data and take the average value to build the original data basis of density-expansion force.

[0134] S303. Based on the measured density-maximum expansion force data set, a fundamental mathematical relationship between polymer expansion force and solidified body density is established through linear function fitting method, clarifying the quantitative correlation between the two.

[0135] S304. For different geological types, introduce geological correction coefficients to adapt the core parameters in the basic relational formula so that the relational formula can match the mechanical properties of specific geological conditions.

[0136] S305. Combine the modified lifting force formula with the geologically adapted expansion force relationship, and use "expansion force meets lifting force requirements" as the constraint condition to solve for the density of the solidified grouting material that is adapted to the current geological and load conditions.

[0137] In step S301, the preparation of polymer standard specimens covering typical gradients is as follows: Assume the density gradient range of the polymer cured body is... , Divide the sample into m density gradients with equal step sizes, and prepare n standard specimens for each gradient. The environmental parameters for specimen preparation were controlled as follows: temperature ,humidity This is consistent with the actual grouting environment.

[0138] In step S302, when conducting the expansion force test, it is necessary to first monitor the expansion force of the specimen with the kth density gradient and record the maximum expansion force of each specimen. , ;

[0139] Then adopt After standard outlier removal, the average maximum expansion force of the density gradient is calculated:

[0140] ,

[0141] in, The number of valid specimens after removing outliers.

[0142] Let be the standard deviation of the k-th data group.

[0143] In step S303, the basic relationship between expansion force and density is fitted using the linear least squares method based on the effective data:

[0144] ,

[0145] The basic parameters of commonly used polymer materials in engineering were obtained through data fitting: ,Right now .

[0146] In step S304, the geologically adapted expansive force relationship after introducing the geological correction coefficient is as follows:

[0147] ,

[0148] in, To adapt the polymer expansion force to specific geological conditions,

[0149] This is a geological correction factor, the value of which is determined by the geological bearing capacity. Porosity Fitting determination,

[0150] ,

[0151] In step S305, the constraint condition for the expansion force to satisfy the lifting force requirement is:

[0152] ,

[0153] Solving the simultaneous equations and finding the fit density yields: The minimum fit density is obtained by solving for:

[0154] ,

[0155] The optimal fit density is obtained when the equality sign is taken:

[0156] .

[0157] Step S400 specifically includes the following steps:

[0158] S401. Identify the key environmental factors affecting polymer performance, and clarify the dynamic range and characteristic parameters of each factor through on-site monitoring and historical data statistics, so as to provide the basis for input variables for subsequent model construction;

[0159] S402. Using the identified environmental factors as input and the polymer expansion force deviation rate as output, a nonlinear mapping model of environmental factors and material properties is constructed based on experimental and measured data. The model structure is optimized through cross-validation to ensure that the model can accurately reflect the influence of environmental changes on material properties.

[0160] S403. Using the output of the nonlinear mapping model as the basic data, the support vector machine algorithm is used to perform deviation quantification analysis, and the dynamic compensation coefficient adapted to the real-time environmental conditions is optimized to quantify the density deviation caused by the environment.

[0161] S404. Combining the optimized environmental compensation coefficient, the previously obtained adaptation density is dynamically corrected to offset the deviation in grouting volume calculation caused by environmental factors, and the final adaptation density that takes into account geological, load and environmental conditions is obtained.

[0162] In step S401, the key environmental factor is: ,

[0163] in, For ambient temperature,

[0164] Relative humidity,

[0165] The depth of the groundwater level.

[0166] This represents the number of freeze-thaw cycles.

[0167] The data for each factor need to be standardized to eliminate the influence of dimensions, specifically:

[0168] ,

[0169] in, For the i-th critical environmental factor after standardization,

[0170] For the i-th critical environmental factor,

[0171] , These are the minimum and maximum values ​​of the i-th factor, respectively.

[0172] In step S402, the output variable in the environmental factor-material property nonlinear mapping model is:

[0173] ,

[0174] in, This refers to the expansion force deviation rate.

[0175] The actual expansion force under environmental influences.

[0176] Expansion force under standard conditions;

[0177] The environmental factors-material properties nonlinear mapping model is based on N sets of sample data. The construction, specifically:

[0178] ,

[0179] in, The radial basis function kernel is as follows: ,

[0180] For kernel parameters,

[0181] For the weight vector,

[0182] For bias terms;

[0183] The kernel parameters Weight vector and bias terms Optimize the model using cross-validation to reduce prediction error. Less than the allowable error The model prediction error for:

[0184] .

[0185] In step S403, when performing bias quantification analysis using the support vector machine algorithm, a support vector machine regression model is constructed using the bias rate output by the mapping model, and the environmental compensation coefficient is optimized, specifically as follows:

[0186] ,

[0187] in, To optimize the environmental compensation coefficient,

[0188] The deviation rate output by the mapping model.

[0189] For Lagrange multipliers,

[0190] For the bias term of the support vector machine regression model,

[0191] For sample labels, ,

[0192] For kernel functions;

[0193] The optimized environmental compensation coefficient The value constraints are: A negative sign indicates that the environment weakens the expansion force, requiring an increase in density; a positive sign indicates that the environment strengthens the expansion force, allowing a decrease in density.

[0194] In step S404, the fit density obtained in step S305 is combined with... With the optimized compensation coefficient Calculate the final fit density:

[0195] ,

[0196] in, To achieve the final adaptation density after offsetting environmental impacts,

[0197] It is necessary to ensure that the actual expansion force of the polymer still meets the lifting force requirement:

[0198] .

[0199] Step S500 specifically includes the following steps:

[0200] S501. Based on the settlement monitoring data of individual track slabs, divide the areas into severe, moderate, and mild settlement zones and no settlement zone according to the settlement degree gradient, and clarify the zone boundaries.

[0201] S502. Extract the geomechanical, track condition and environmental parameters corresponding to each zone. Combine the calculation results of S200-S400 in the early stage to determine the comprehensive load, final matching density, grouting hole distribution ratio and target value of lift height for each zone, so as to ensure that the parameters are accurately matched with the actual conditions of the zone.

[0202] S503. Based on the core formula for grouting volume, substitute the specific parameters of each zone to calculate the grouting volume of each zone.

[0203] S504. Summarize the grouting volume of each zone to obtain the total grouting volume. Combine the track structure safety threshold and material performance limit to verify the rationality. Fine-tune the grouting volume of each zone to balance the settlement repair needs and track structure safety.

[0204] S505. Based on the grouting volume of each zone and the spatial distribution of grouting holes, determine the specific grouting volume of a single grouting hole. For grouting holes that span multiple zones, allocate the grouting volume according to the area ratio of each zone.

[0205] In step S501, when dividing a single track slab into zones, the settlement distribution function of the single track slab is defined as follows: Set a settlement threshold:

[0206] Severe subsidence area: , The threshold for severe settlement.

[0207] Moderate settlement zone: , This is the threshold for moderate settlement.

[0208] Slight settlement zone: , This is the threshold for mild settlement.

[0209] No settlement zone: ;

[0210] Each zone boundary should satisfy the following condition: differential settlement between any two points within the same zone.

[0211] The area is divided into m effective grouting zones, denoted as... .

[0212] In step S502, the set of partition core parameters is as follows:

[0213] ,

[0214] in, Let i be the target elevation value for the i-th partition.

[0215] The combined load for the i-th partition is...

[0216] The final adaptation density for the i-th partition.

[0217] The number of holes allocated to the i-th partition.

[0218] Target height for each zone for:

[0219] ,

[0220] in, The maximum settlement in the i-th partition is...

[0221] To increase the target settlement, we take 0.

[0222] The number of allocation holes in the i-th partition for:

[0223] ,

[0224] satisfy ,

[0225] in, This indicates rounding to the nearest integer.

[0226] Let be the area of ​​the i-th partition.

[0227] In step S503, the grouting volume of the i-th partition... for:

[0228] ,

[0229] in, For a single grouting hole in the i-th partition,

[0230] The grouting diffusion radius is denoted as .

[0231] In step S504, the total grouting volume is:

[0232] .

[0233] In step S505, the specific grouting volume for a single grouting hole is as follows:

[0234] ,

[0235] If grouting hole k simultaneously covers t zones, then the grouting volume of that hole in each zone is:

[0236] ,

[0237] in, Let K be the coverage area of ​​grouting hole k in the j-th partition.

[0238] For the total coverage area of ​​grouting holes k, satisfying .

[0239] Example 2

[0240] This invention provides a system for calculating the amount of polymer grouting for settlement of ballastless track subgrade in high-speed railway operations, comprising:

[0241] Parameter acquisition module: Used to comprehensively collect geomechanical, track condition and dynamic load parameters of operating trains, with the settlement area as the core, through multi-dimensional detection methods;

[0242] Dynamic correction module: used to establish a theoretical model for polymer grouting and lifting of ballastless track subgrade settlement repair, introduce dynamic correction coefficient to quantify the influence of train dynamic load, correct static uniformly distributed load to comprehensive load, and correct the original lifting force formula;

[0243] Geological Correction Module: Used to establish the relationship between the expansion force of polymer grouting materials and the density of the corresponding solidified body. For different geological correction core parameters, the appropriate density is obtained by combining the material property formulas.

[0244] Compensation and Correction Module: Used to establish a nonlinear mapping model between environmental factors and material properties, optimize the compensation coefficients using the support vector machine algorithm, and correct the fit density to offset the calculation deviations caused by environmental influences;

[0245] Grouting distribution module: Used to distribute grouting volume according to the settlement degree of different areas of a single track slab, and to accurately distribute grouting volume by zone.

[0246] Those skilled in the art will readily understand that the above description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. A method for calculating the amount of polymer grouting for settlement of ballastless track subgrade in high-speed railway operation, characterized in that, Specifically, the following steps are included: S100: Taking the settlement area as the core, it comprehensively collects geomechanical, track condition and dynamic load parameters of operating trains through multi-dimensional detection methods. S200. Establish a theoretical model for polymer grouting and lifting to repair the settlement of ballastless track subgrade. Introduce a dynamic correction coefficient to quantify the influence of train dynamic load, correct the static uniformly distributed load to a comprehensive load, and correct the original lifting force formula. S300. Establish the relationship between the expansion force of polymer grouting material and the density of the corresponding solidified body. Adjust the core parameters for different geological conditions and combine the material property formulas to obtain the appropriate density. S400. Establish a nonlinear mapping model between environmental factors and material properties, use the support vector machine algorithm to optimize the compensation coefficient, and correct the fit density to offset the calculation deviation caused by environmental influences. S500: Based on the degree of settlement in different areas of a single track slab, the grouting volume is calculated differently, and the grouting volume is precisely allocated by zone. Step S200 specifically includes the following steps: S201. The theoretical model for polymer grouting and lifting of ballastless track subgrade settlement repair is defined as consisting of ballastless track structure, graded crushed stone subgrade layer, grouting pipe and grouting material. Based on the parameters collected in the early stage, the additional stress expansion coefficient and grouting diffusion radius are determined. S202. By analyzing the dynamic load data of the train, a dynamic correction coefficient is introduced to correct the static uniformly distributed load into a comprehensive load that integrates dynamic and static loads, thereby quantifying the additional impact of the train's dynamic load on the lifting force. S203. Based on the logic of the original lifting force formula, the comprehensive load is incorporated and the formula structure is optimized to obtain a modified total lifting force calculation formula that can reflect the dynamic load effect. S204. Through grouting tests in typical settlement sections, compare the calculated lifting force with the measured value using the model, and then calibrate the dynamic correction coefficient and the additional stress amplification coefficient in reverse. S205. Based on the differences in geomechanical parameters, the splitting angle and failure shear surface parameters of graded crushed stone are corrected, and the calculation logic of shear surface in the formula is optimized to adapt to complex geological conditions. In step S201, the set of basic physical quantities in the theoretical model for polymer grouting and lifting of ballastless track subgrade settlement repair is as follows: ， in, This is the additional stress amplification factor. The static uniformly distributed load is for the ballastless track structure. The diffusion radius of the polymer grouting material. The thickness of the graded crushed stone overlying the split layer. The internal friction angle of graded crushed stone. To improve the cohesion of graded crushed stone, For the vertical load of the graded crushed stone layer, The splitting angle of graded crushed stone; Based on multi-dimensional data collection, initial measured values ​​were assigned to each parameter: ； In step S202, based on the measured data, the following is obtained: ， in, This represents the equivalent value of the train's dynamic load. For dynamic correction coefficients, ; Thus, the comprehensive load correction formula is obtained: This enables the transformation of static loads into combined dynamic and static loads. In step S203, the static uniformly distributed load in the original formula is... Using comprehensive load By making substitutions, we obtain the corrected total lift formula, which is: ， in, For the shear strength of graded crushed stone, ; In step S204, the measured uplift force was obtained by grouting tests in a typical settlement section. The deviation rate was calculated based on the measured lifting force. : ， in, To correct the calculated values ​​of the formula; like The parameters are calibrated in reverse using the least squares method: ， Until The calibrated additional stress amplification factor was obtained. After calibration Dynamic correction factor; in, The calibration increment for the additional stress amplification factor. The calibration increment for the dynamic correction coefficient; In step S205, the splitting angle of the graded crushed stone is corrected based on address partitioning, specifically as follows: ， in, This is the splitting angle correction factor for the i-th geological zone, derived from the friction angle within the zone. The fitting yielded: ， The calculation logic for the shear surface in the optimized formula is as follows: [The original formula is then modified...] Replace with .

2. The method for calculating the polymer grouting volume for settlement of ballastless track subgrade in high-speed railway operation according to claim 1, characterized in that, Step S100 specifically includes the following steps: S101. Taking the ballastless track settlement area as the center, and combining the track slab layout, roadbed structure distribution and geological survey data, delineate the data collection boundary and clarify the spatial range and accuracy requirements of the parameters to be collected. S102. Obtain the thickness, compaction distribution and underlying soil properties of the graded crushed stone layer in the subgrade using ground-penetrating radar. Drill samples to prepare graded crushed stone specimens, test the internal friction angle and cohesion, determine the shear strength and vertical load of the graded crushed stone through in-situ load tests, and record the spatial distribution data of each parameter. S103. Using a track geometry measuring instrument, total station and displacement sensor, accurately measure the settlement distribution of a single track slab in the settlement area and the target height of grouting. Obtain the dimensions of the ballastless track structure, the number of grouting holes in each slab and the weight distribution of the track slab through track structure detection, and determine the initial uniformly distributed load generated by the ballastless track structure. S104. Deploy dynamic strain sensors, acceleration sensors, and load monitoring equipment to continuously collect dynamic load data of the track structure of train pairs under different train numbers and operating speeds, statistically analyze the peak value, frequency, and duration characteristics of the dynamic load, and calculate the equivalent value of the dynamic load.

3. A method for calculating the amount of polymer grouting for settlement of ballastless track subgrade in high-speed railway operation, as described in claim 1 or 2, characterized in that... Step S300 specifically includes the following steps: S301. Prepare standard polymer specimens covering typical gradients according to the engineering density range, simulate the actual grouting environment and control the temperature and humidity to ensure the consistency between the specimens and the engineering scenario, and provide reliable samples for subsequent expansion force testing. S302. A pressure-displacement monitoring system is used to monitor the expansion force of specimens with different densities throughout the process, record the maximum expansion force of each group of specimens, remove abnormal data and take the average value to build the original data basis of density-expansion force. S303. Based on the measured density-maximum expansion force data set, a fundamental mathematical relationship between polymer expansion force and solidified body density is established through linear function fitting method, clarifying the quantitative correlation between the two. S304. For different geological types, introduce geological correction coefficients to adapt the core parameters in the basic relational formula so that the relational formula can match the mechanical properties of specific geological conditions. S305. Combine the modified lifting force formula with the geologically adapted expansion force relationship, and use "expansion force meets lifting force requirements" as the constraint condition to solve for the density of the solidified grouting material that is adapted to the current geological and load conditions.

4. A method for calculating the polymer grouting volume for settlement of ballastless track subgrade in high-speed railway operation according to claim 1 or 2, characterized in that, Step S400 specifically includes the following steps: S401. Identify the key environmental factors affecting polymer performance, and clarify the dynamic range and characteristic parameters of each factor through on-site monitoring and historical data statistics, so as to provide the basis for input variables for subsequent model construction; S402. Using the identified environmental factors as input and the polymer expansion force deviation rate as output, a nonlinear mapping model of environmental factors and material properties is constructed based on experimental and measured data. The model structure is optimized through cross-validation to ensure that the model can accurately reflect the influence of environmental changes on material properties. S403. Using the output of the nonlinear mapping model as the basic data, the support vector machine algorithm is used to perform deviation quantification analysis, and the dynamic compensation coefficient adapted to the real-time environmental conditions is optimized to quantify the density deviation caused by the environment. S404. Combining the optimized environmental compensation coefficient, the previously obtained adaptation density is dynamically corrected to offset the deviation in grouting volume calculation caused by environmental factors, and the final adaptation density that takes into account geological, load and environmental conditions is obtained.

5. A method for calculating the amount of polymer grouting for settlement of ballastless track subgrade in high-speed railway operation according to claim 1 or 2, characterized in that, Step S500 specifically includes the following steps: S501. Based on the settlement monitoring data of individual track slabs, divide the areas into severe, moderate, and mild settlement zones and no settlement zone according to the settlement degree gradient, and clarify the zone boundaries. S502. Extract the geomechanical, track condition and environmental parameters corresponding to each zone. Combine the calculation results of S200-S400 in the early stage to determine the comprehensive load, final matching density, grouting hole distribution ratio and target value of lift height for each zone, so as to ensure that the parameters are accurately matched with the actual conditions of the zone. S503. Based on the core formula for grouting volume, substitute the specific parameters of each zone to calculate the grouting volume of each zone. S504. Summarize the grouting volume of each zone to obtain the total grouting volume. Combine the track structure safety threshold and material performance limit to verify the rationality. Fine-tune the grouting volume of each zone to balance the settlement repair needs and track structure safety. S505. Based on the grouting volume of each zone and the spatial distribution of grouting holes, determine the specific grouting volume of a single grouting hole. For grouting holes that span multiple zones, allocate the grouting volume according to the area ratio of each zone.

6. A system for calculating the amount of polymer grouting for settlement of ballastless track subgrade in high-speed railway operation, used to implement the method for calculating the amount of polymer grouting for settlement of ballastless track subgrade in high-speed railway operation as described in any one of claims 1-5, characterized in that, include: Parameter acquisition module: Used to comprehensively collect geomechanical, track condition and dynamic load parameters of operating trains, with the settlement area as the core, through multi-dimensional detection methods; Dynamic correction module: used to establish a theoretical model for polymer grouting and lifting of ballastless track subgrade settlement repair, introduce dynamic correction coefficient to quantify the influence of train dynamic load, correct static uniformly distributed load to comprehensive load, and correct the original lifting force formula; Geological Correction Module: Used to establish the relationship between the expansion force of polymer grouting materials and the density of the corresponding solidified body. For different geological correction core parameters, the appropriate density is obtained by combining the material property formulas. Compensation and Correction Module: Used to establish a nonlinear mapping model between environmental factors and material properties, optimize the compensation coefficients using the support vector machine algorithm, and correct the fit density to offset the calculation deviations caused by environmental influences; Grouting distribution module: Used to distribute grouting volume according to the settlement degree of different areas of a single track slab, and to accurately distribute grouting volume by zone.

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