Geocell reinforced gravel base thickness design method and device

Abstract

The application provides a geocell reinforced gravel base thickness design method and device, which comprises the following steps: acquiring geocell parameters and filler parameters; taking the ratio of the geocell height to the median particle size of the filler as an input parameter, combining a preset enhancement function and a geocell welding efficiency coefficient to generate a modulus enhancement value, multiplying the modulus enhancement value by the modulus of the filler to obtain a composite modulus. The method quantifies key parameters to construct a modulus enhancement model, breaks through the limitations of traditional design experience dependence, rigid safety factor and low calculation efficiency. Through a dynamic safety factor and an iterative algorithm, the rut depth and the safety reserve are accurately matched, the base thickness is thinned, the calculation efficiency is improved, the engineering cost is effectively saved, and the method is suitable for soft ground road engineering scenes.

Description

Technical Field

[0001] This application belongs to the fields of road engineering and geotechnical engineering, and in particular relates to a method and device for designing the thickness of geocell-reinforced crushed stone base course. Background Technology

[0002] In traditional road engineering design, the thickness design of geocell-reinforced crushed stone base courses often relies on empirical formulas or fixed safety factors, which have significant limitations. First, the strong reliance on experience is a prominent issue. For example, traditional methods such as the Giroud-Han model fail to fully quantify the impact of filler gradation on the constraint effect, leading to estimation errors of up to 35% in practical applications, thus affecting the accuracy and economy of base course design. Second, the setting of safety factors is too rigid. Traditional designs typically use fixed safety factors, which cannot be flexibly adjusted according to different working conditions (such as heavy-load and light-load roads), potentially resulting in overly conservative or insufficient designs under specific conditions. Furthermore, low computational efficiency is also a major problem. While numerical analysis methods such as the finite element method offer high accuracy, the computation time can be several hours, making it difficult to meet the needs of rapid on-site design. Summary of the Invention

[0003] The purpose of this application is to overcome the defects in the prior art and provide a method and device for designing the thickness of geocell reinforced crushed stone base course.

[0004] This application provides a method for designing the thickness of a geocell-reinforced crushed stone base course, including:

[0005] Obtain cell parameters and packing parameters, wherein the cell parameters include cell height and cell welding efficiency coefficient, and the packing parameters include median particle size and packing modulus;

[0006] Based on the cell height, the median particle size of the filler, and the cell welding efficiency coefficient, a modulus enhancement value is constructed, including: calculating the ratio of the cell height to the median particle size of the filler as an input parameter; and generating a modulus enhancement value based on a preset enhancement function, according to the input parameter and the cell welding efficiency coefficient.

[0007] The modulus enhancement value is multiplied by the filler modulus to generate a composite modulus, which is used to calculate the base layer thickness.

[0008] Optionally, generating a modulus enhancement value based on the input parameters and the cell welding efficiency coefficient includes:

[0009] The ratio is input into the preset enhancement function to generate an initial enhancement factor;

[0010] The initial enhancement factor is multiplied by the cell welding efficiency coefficient to generate the modulus enhancement value.

[0011] Optionally, multiplying the modulus enhancement value by the filler modulus includes:

[0012] Multiplication is performed using a floating-point arithmetic unit.

[0013] Optionally, the preset enhancement function includes:

[0014] A linear coefficient is used to amplify the effect of the ratio; the linear coefficient is a preset fixed value.

[0015] Optionally, the preset enhancement function includes:

[0016] A power function, wherein the power of the power function is a preset fixed value.

[0017] This application also provides a device for designing the thickness of geocell-reinforced crushed stone base course, comprising:

[0018] The module acquires cell parameters and packing parameters, wherein the cell parameters include cell height and cell welding efficiency coefficient, and the packing parameters include median particle size and packing modulus.

[0019] The calculation module constructs a modulus enhancement value based on the cell height, the median particle size of the filler, and the cell welding efficiency coefficient, including: calculating the ratio of the cell height to the median particle size of the filler as an input parameter; and generating a modulus enhancement value based on a preset enhancement function, according to the input parameter and the cell welding efficiency coefficient.

[0020] The modulus module multiplies the modulus enhancement value by the filler modulus to generate a composite modulus, which is used to calculate the base layer thickness.

[0021] Optionally, the calculation module generates a modulus enhancement value based on the input parameters and the cell welding efficiency coefficient, including:

[0022] The ratio is input into the preset enhancement function to generate an initial enhancement factor;

[0023] The initial enhancement factor is multiplied by the cell welding efficiency coefficient to generate the modulus enhancement value.

[0024] Optionally, the modulus module multiplies the modulus enhancement value by the filler modulus, including:

[0025] Multiplication is performed using a floating-point arithmetic unit.

[0026] Optionally, the preset enhancement function includes:

[0027] A linear coefficient is used to amplify the effect of the ratio; the linear coefficient is a preset fixed value.

[0028] Optionally, the preset enhancement function includes:

[0029] A power function, wherein the power of the power function is a preset fixed value.

[0030] The beneficial effects of this application are:

[0031] This application provides a method for designing the thickness of a geocell-reinforced crushed stone base course, comprising: obtaining geocell parameters and filler parameters, wherein the geocell parameters include geocell height and geocell welding efficiency coefficient, and the filler parameters include median particle size and filler modulus; constructing a modulus enhancement value based on the geocell height, the median particle size of the filler, and the geocell welding efficiency coefficient, comprising: calculating the ratio of the geocell height to the median particle size of the filler as an input parameter; generating a modulus enhancement value based on a preset enhancement function, according to the input parameter and the geocell welding efficiency coefficient; multiplying the modulus enhancement value by the filler modulus to generate a composite modulus, wherein the composite modulus is used to calculate the base course thickness. This application constructs a modulus enhancement value by quantifying parameters such as geocell height, welding efficiency coefficient, and median particle size of the filler, and multiplies it by the filler modulus to obtain a composite modulus. Combined with a dynamic safety factor and an iterative algorithm, it accurately matches the rutting control target, achieving base course thickness reduction and improving calculation efficiency. Attached Figure Description

[0032] Figure 1 This is a schematic diagram of the design process for the thickness of the geocell-reinforced crushed stone base course in this application;

[0033] Figure 2 This is a schematic diagram of the thickness calculation process in this application;

[0034] Figure 3 It is in this application and Schematic diagram of the relationship curve;

[0035] Figure 4 It is in this application Follow A schematic diagram illustrating the changing pattern. Detailed Implementation

[0036] Exemplary embodiments of the present disclosure will now be provided in more detail with reference to the accompanying drawings. While exemplary embodiments of the present disclosure are shown in the drawings, it is to be understood that various forms of implementation of the present disclosure are intended and should not be limited to the embodiments set forth herein. Rather, the embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the disclosure to those skilled in the art.

[0037] Please refer to Figure 1As shown, this application provides a method for designing the thickness of a geocell-reinforced crushed stone base course. This method optimizes the base course design by accurately calculating the composite modulus through the interaction between the filler gradation and the cell parameters.

[0038] The following is a detailed explanation of the steps.

[0039] S101. Obtain the cell parameters and packing parameters.

[0040] The cell parameters include cell height. The welding efficiency coefficient η of the welding chamber, wherein the packing parameters include the median particle size of the packing. and filler modulus .

[0041] Among them, the height of the cell This refers to the physical height of the geocell, usually measured in meters, and obtained directly through engineering surveys. The geocell welding efficiency coefficient η is a parameter reflecting the integrity of the weld points in the geocell, ranging from 0 to 1, and is determined through laboratory testing or manufacturer specifications. The median particle size of the filler material... The median particle size, representing the distribution of filler particles, is determined through sieve analysis to ensure it meets the requirement of 5mm ≤ The requirement is ≤20mm to accommodate the geocell pore size. Fill material modulus. It is the elastic modulus of the fill material, measured in megapascals (MPa), obtained through geotechnical testing or standard modulus testing. For example, in soft soil foundation road engineering, the input parameters are as follows... =0.18m, η=0.85, =10mm =70MPa. These parameters must be accurate, as subsequent calculations depend on them. All parameters are derived from field surveys or laboratory data to avoid empirical bias and ensure design reliability.

[0042] S102. Construct a modulus enhancement value based on the cell height, the median particle size of the filler, and the cell welding efficiency coefficient.

[0043] The ratio of the cell height to the median particle size of the packing is calculated as an input parameter, i.e. This ratio reflects the strength of the constraint effect of the cell on the filler. Based on a preset enhancement function, a modulus enhancement value is generated according to the input parameters and the cell welding efficiency coefficient. The preset enhancement function includes a linear coefficient and a power function. The linear coefficient is a fixed value of 2.2, used to amplify the effect of the ratio; the power function has a fixed power of 0.3, representing the nonlinear effect of the ratio on modulus enhancement.

[0044] When generating modulus enhancement values, the ratio is first input into the enhancement function to generate an initial enhancement factor, such as... Figure 2 As shown, the formula is:

[0045]

[0046] Then, multiply it by the cell welding efficiency coefficient η to obtain the modulus enhancement value:

[0047]

[0048] The linear coefficient 2.2 is a preset fixed value, determined through finite element analysis optimization; the power factor 0.3 is a preset fixed value, verified based on the three-dimensional constraint effect mechanism; and the modulus enhancement value quantifies the interlocking effect of the cell-filler.

[0049] For example, input =0.18m and =10mm, calculated ratio 0.18 / 0.010=18, generating an initial enhancement factor of 2.2× ≈2.2 × 2.62 = 5.764, then multiply by η = 0.85 to get the modulus enhancement value 5.764 × 0.85 ≈ 4.899. The enhancement function accurately models the modulus. The quantitative relationship with the composite modulus suppresses the errors of traditional methods.

[0050] S103, The modulus enhancement value is compared with the filler modulus. Multiplying them together generates a composite modulus.

[0051] like Figure 3 As shown, the formula for calculating the composite modulus is:

[0052]

[0053] Among them, the The composite modulus represents the overall stiffness of the geocell-reinforced crushed stone base course; 1 is a constant term, representing the modulus of the fill material itself; 2.2 is a linear coefficient; The ratio of cell height to median particle size of the packing material; 0.3 is a power; η is the cell welding efficiency coefficient; This represents the filler modulus.

[0054] For example, based on the modulus enhancement value of 4.899 for S102, the following calculations are made: =70×(1+4.899)≈70×5.899=186MPa. This multiplication operation integrates the modulus enhancement value into the filler modulus, forming a composite modulus, which is used for subsequent base layer thickness design, improving calculation efficiency.

[0055] For applications requiring multiplication operations to be performed via a floating-point arithmetic unit (FPU), embedded systems can utilize a hardware FPU module. This module integrates a floating-point arithmetic unit (FPU) into the processor platform, inputting the modulus enhancement value and filler modulus to the arithmetic unit register. It then executes single-precision or double-precision floating-point multiplication instructions and outputs the composite modulus value. For example, with input values ​​of 4.899 and 70.0, the FPU performs the multiplication operation, and the result is stored in memory for later use. This hardware implementation improves computational accuracy and speed, making it suitable for rapid field design scenarios.

[0056] S104. Calculate the base course thickness based on the composite modulus, foundation parameters, traffic load parameters, and dynamic safety factor; wherein, the dynamic safety factor... Based on the allowable rut depth s, from the formula Sure.

[0057] Please refer to Figure 2 As shown, the composite modulus is used to calculate the base layer thickness to address the shortcomings of traditional designs that do not quantify gradation and rut control.

[0058] The process first obtains extended input parameters, including the undrained shear strength of the foundation. Foundation modulus Single wheel load P, tire ground contact radius r, design load cycle number N, and allowable rut depth s.

[0059] For example, in a soft foundation scenario, the input parameters are as follows: =20kPa =12MPa, these parameters were obtained through field testing to ensure data accuracy. The input of extended parameters is a prerequisite for thickness design, avoiding errors caused by reliance on experience. Next, the modulus ratio is calculated. This value quantifies the stiffness difference between the composite modulus and the foundation modulus, and the formula is:

[0060]

[0061] Among them, the The modulus ratio is used to reflect the degree of stiffness matching between the base layer and the subgrade; the... For composite modulus; the This is the foundation modulus.

[0062] For example, input =186MPa and =12MPa, calculated as follows =186 / 12=15.5. The modulus ratio calculation is a key input to the thickness formula, ensuring that the design is suitable for the foundation conditions.

[0063] Then, calculate the dynamic safety factor. This coefficient achieves a precise match between rut depth and safety margin, and the formula is:

[0064]

[0065] Wherein, 's' represents the allowable rut depth (unit: mm), and this formula solves the rigidity problem of traditional fixed coefficients through dynamic adjustment; 1.2 is the baseline coefficient; 0.05 is the scaling factor; and 25 is the reference value for rut depth (unit: mm). Figure 4 As shown.

[0066] For example, when the allowable rut depth s = 60 mm, the calculation... =1.2+0.05× =1.2 + 0.05 × 5.76 = 1.2 + 0.288 = 1.488. The dynamic safety factor adapts to different road conditions, such as heavy-load roads requiring a higher safety reserve.

[0067] Finally, the thickness h is solved using an iterative method. The thickness calculation formula is as follows:

[0068]

[0069] Among them, the The load cycle decay function reflects the influence of long-term loads; the β( )= The internal friction angle strengthening function of the packing is used to quantify the contribution of the packing pair to stability; the Γ(RE) = The modulus ratio decay function is used to suppress stress concentration at high modulus ratios; The dynamic safety factor is ϕ; the internal friction angle of the packing is ϕ; the iteration termination condition is ϕ. Alternatively, the maximum number of iterations can be 20, ensuring a 90% improvement in computational efficiency.

[0070] For example: Input P=40kN, r=0.15m, N=5000, =38° initial value When m = 0.25m, the first iteration calculation yields... =0.22m, since |0.22-0.25|>0.005, it needs to be updated. The second iteration yields... =0.218m satisfies the convergence condition, and the output thickness is 0.218m. This value must satisfy 0.15m≤h≤0.30m.

[0071] Compared to the traditional method which requires a thickness of 0.30m, this method reduces the thickness by 28% and saves 1200 tons of crushed stone per kilometer.

[0072] Iterative solutions optimize design efficiency through explicit algorithms, addressing the time-consuming nature of the finite element method. The core mechanism of the thickness design process is the three-dimensional constraint effect; that is, geocells form a stress diffusion network by laterally constraining the crushed stone fill material, reducing the vertical deformation of the base layer. The height of the geocells... Compared with the median particle size of the filler The ratio directly determines the constraint strength (e.g., ratio). / The effect is significant when the value is 18, which verifies the logical basis of composite modulus enhancement. The value of the dynamic safety factor further verifies the rutting control effect; for example, when the allowable rutting depth s = 25 mm, =1.4, suitable for scenarios with strict rut control; when s=75mm, =1.2, adapting to relaxed control requirements. This verification ensures a precise match between the safety factor and operating conditions. Overall technical advantages include: through β( ) functions and Constraints (5mm≤) The quantification of gradation (≤20mm) addresses the shortcomings of traditional models that do not quantify gradation; the explicit iterative algorithm converges within 20 steps, improving efficiency by 90% compared to the finite element method; industrial applications, such as the Indonesian MBL temporary road case, have confirmed the effectiveness of the base layer thickness optimization.

[0073] This application also provides a device for designing the thickness of geocell-reinforced crushed stone base course, comprising:

[0074] The module acquires cell parameters and packing parameters, wherein the cell parameters include cell height and cell welding efficiency coefficient, and the packing parameters include median particle size and packing modulus.

[0075] The calculation module constructs a modulus enhancement value based on the cell height, the median particle size of the filler, and the cell welding efficiency coefficient, including: calculating the ratio of the cell height to the median particle size of the filler as an input parameter; and generating a modulus enhancement value based on a preset enhancement function, according to the input parameter and the cell welding efficiency coefficient.

[0076] The modulus module multiplies the modulus enhancement value by the filler modulus to generate a composite modulus, which is used to calculate the base layer thickness.

[0077] Optionally, the calculation module generates a modulus enhancement value based on the input parameters and the cell welding efficiency coefficient, including:

[0078] The ratio is input into the preset enhancement function to generate an initial enhancement factor;

[0079] The initial enhancement factor is multiplied by the cell welding efficiency coefficient to generate the modulus enhancement value.

[0080] Optionally, the modulus module multiplies the modulus enhancement value by the filler modulus, including:

[0081] Multiplication is performed using a floating-point arithmetic unit.

[0082] Optionally, the preset enhancement function includes:

[0083] A linear coefficient is used to amplify the effect of the ratio; the linear coefficient is a preset fixed value.

[0084] Optionally, the preset enhancement function includes:

[0085] A power function, wherein the power of the power function is a preset fixed value.

[0086] The above embodiments are provided to enable those skilled in the art to understand and apply this application. Those skilled in the art will readily make various modifications to the above embodiments and apply the general principles described herein to other embodiments without inventive effort. Therefore, this application is not limited to the above embodiments, and any improvements and modifications made to this application based on the disclosure thereof should be within the scope of protection of this application.

Claims

1. A method for designing the thickness of a geocell-reinforced crushed stone base course, characterized in that, include: Obtain cell parameters and packing parameters, wherein the cell parameters include cell height and cell welding efficiency coefficient, and the packing parameters include median particle size and packing modulus; Based on the cell height, the median particle size of the filler, and the cell welding efficiency coefficient, a modulus enhancement value is constructed, including: calculating the ratio of the cell height to the median particle size of the filler as an input parameter; and generating a modulus enhancement value based on a preset enhancement function, according to the input parameter and the cell welding efficiency coefficient. The composite modulus is generated by multiplying the modulus enhancement value by the filler modulus, as shown in the following formula: ； in, 1 represents the composite modulus; 1 represents the constant term; 2.2 represents the linear coefficients. The ratio of cell height to median particle size of the packing material; 0.3 is a power of 1. The efficiency coefficient for cell welding; This refers to the filler modulus. The base course thickness is calculated based on the composite modulus, foundation parameters, traffic load parameters, and dynamic safety factor, including: Obtain extended input parameters, including the undrained shear strength of the foundation, the foundation modulus, the single wheel load, the tire ground contact radius, the number of design load cycles, and the allowable rut depth; Calculate the modulus ratio The formula is: ； in, For foundation modulus; The thickness h is determined using an iterative method, and the thickness calculation formula is as follows: ； in, Let N be the load cycle decay function, where N is the design load cycle number. This is the function for strengthening the internal friction angle of the packing. The internal friction angle of the packing. The modulus ratio decay function, Where P is the undrained shear strength of the foundation, P is the single wheel load, and r is the tire contact radius. The dynamic safety factor is determined by the formula based on the allowable rut depth. Determine, where s is the allowable rut depth, 1.2 is the baseline coefficient, 0.05 is the scaling factor, and 25 is the reference value for rut depth.

2. The method according to claim 1, characterized in that, Generating a modulus enhancement value based on the input parameters and the cell welding efficiency coefficient includes: The ratio is input into the preset enhancement function to generate an initial enhancement factor; The initial enhancement factor is multiplied by the cell welding efficiency coefficient to generate the modulus enhancement value.

3. The method according to claim 1, characterized in that, Multiplying the modulus enhancement value by the filler modulus includes: Multiplication is performed using a floating-point arithmetic unit.

4. The method according to claim 1, characterized in that, The preset enhancement functions include: A linear coefficient is used to amplify the effect of the ratio; the linear coefficient is a preset fixed value.

5. The method according to claim 1, characterized in that, The preset enhancement functions include: A power function, wherein the power of the power function is a preset fixed value.

6. A device for designing the thickness of a geocell-reinforced crushed stone base course, characterized in that, include: The module acquires cell parameters and packing parameters, wherein the cell parameters include cell height and cell welding efficiency coefficient, and the packing parameters include median particle size and packing modulus. The calculation module constructs a modulus enhancement value based on the cell height, the median particle size of the filler, and the cell welding efficiency coefficient, including: calculating the ratio of the cell height to the median particle size of the filler as an input parameter; and generating a modulus enhancement value based on a preset enhancement function, according to the input parameter and the cell welding efficiency coefficient. The modulus module multiplies the modulus enhancement value by the filler modulus to generate the composite modulus, as shown in the following formula: ； in, 1 represents the composite modulus; 1 represents the constant term; 2.2 represents the linear coefficients. The ratio of cell height to median particle size of the packing material; 0.3 is a power of 1. The efficiency coefficient for cell welding; The composite modulus, used to calculate the base layer thickness, is the filler modulus, including: Obtain extended input parameters, including the undrained shear strength of the foundation, foundation modulus, single wheel load, tire contact radius, design load cycle number, and allowable rut depth; calculate the modulus ratio. The formula is: ； in, The foundation modulus is used; the thickness h is calculated using an iterative method, and the thickness calculation formula is as follows: ； in, Let f be the load cycle decay function. To design the number of load cycles, Let ϕ be the internal friction angle strengthening function of the packing, and ϕ be the internal friction angle of the packing. The modulus ratio decay function, Where P is the undrained shear strength of the foundation, P is the single wheel load, and r is the tire contact radius. The dynamic safety factor is determined by the formula based on the allowable rut depth. Determine, where s is the allowable rut depth, 1.2 is the baseline coefficient, 0.05 is the scaling factor, and 25 is the reference value for rut depth.

7. The apparatus according to claim 6, characterized in that, The calculation module generates a modulus enhancement value based on the input parameters and the cell welding efficiency coefficient, including: The ratio is input into the preset enhancement function to generate an initial enhancement factor; The initial enhancement factor is multiplied by the cell welding efficiency coefficient to generate the modulus enhancement value.

8. The apparatus according to claim 6, characterized in that, The modulus module multiplies the modulus enhancement value by the filler modulus, including: Multiplication is performed using a floating-point arithmetic unit.

9. The apparatus according to claim 6, characterized in that, The preset enhancement functions include: A linear coefficient is used to amplify the effect of the ratio; the linear coefficient is a preset fixed value.

10. The apparatus according to claim 6, characterized in that, The preset enhancement functions include: A power function, wherein the power of the power function is a preset fixed value.

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