Roadbed transverse drainage pipe spacing evaluation method, system and equipment and computer readable storage medium

By comprehensively considering the evaluation methods of multi-source infiltration factors and seepage theory, the problem of unreasonable drainage pipe spacing design in the existing technology has been solved, and a scientific and quantitative evaluation of drainage pipe spacing has been achieved, improving the accuracy and economy of the design.

CN121637814APending Publication Date: 2026-03-10CHINA MERCHANTS CHONGQING COMM RES & DESIGN INST
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-12-04
Publication Date
2026-03-10

AI Technical Summary

Technical Problem

The existing design method for drainage pipe spacing fails to comprehensively consider various water infiltration factors, resulting in unreasonable design that cannot meet actual drainage needs, and lacks scientific calculations for specific road sections.

Method used

An assessment method that comprehensively considers multiple infiltration factors is adopted, and the drainage capacity and soil seepage theory are used for dual verification. The spacing of drainage pipes is scientifically and quantitatively evaluated by calculating the total road boundary water infiltration, drainage capacity and theoretical maximum spacing.

Benefits of technology

It improves the accuracy and reliability of drainage system design, ensures that drainage capacity matches actual needs, and reduces waste of engineering resources.

✦ Generated by Eureka AI based on patent content.

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    Figure 09265BA9-639B-47D0-9FF3-983F396B0055
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Abstract

The invention provides a roadbed transverse drainage pipe spacing evaluation method, system and device and a computer readable storage medium, and the method comprises the steps: calculating the total road boundary water infiltration amount in unit time within the influence range of a drainage pipe, and carrying out the matching checking calculation of the total infiltration amount and the calculated drainage capacity; and further calculating the theoretical maximum spacing by using a seepage theory so as to carry out double check and iterative adjustment on the spacing of the drainage pipes. According to the method, the technical problem that the drainage capacity is insufficient or resources are wasted due to the fact that existing transverse drainage pipe layout depends on experience or general specifications based on historical climate data and scientific calculation for specific hydrogeological conditions is lacked can be solved, scientific quantitative evaluation of the drainage pipe spacing is achieved, and the drainage efficiency is improved. And the accuracy, reliability and economical efficiency of design, operation and maintenance of the roadbed drainage system are remarkably improved.
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Description

Technical Field

[0001] This invention relates to the field of road engineering maintenance technology, specifically to a method, system, equipment, and computer-readable storage medium for evaluating the spacing of transverse drainage pipes in roadbeds. Background Technology

[0002] In road engineering, the performance of the roadbed drainage system directly affects the stability and service life of the road structure. Especially for operational highways and trunk roads, water accumulation often occurs within the roadbed due to rainfall, groundwater activity, and aging drainage facilities. Prolonged water accumulation softens the soil, reduces roadbed strength, and leads to serious road surface defects such as frost heave, potholes, uneven settlement, and longitudinal and transverse cracks. Installing transverse drainage pipes is a common engineering measure to address roadbed water accumulation. However, determining the appropriate spacing between existing drainage pipes is a key design challenge during the installation or repair of existing roadbed drainage pipes. Existing methods for determining drainage pipe spacing mainly suffer from the following problems: Existing design methods typically focus primarily on surface runoff, often neglecting the diverse water sources that contribute to the complex conditions of existing roads. For example, cracks caused by pavement aging can become channels for rapid water infiltration; poor median drainage can lead to lateral rainwater seeping into the roadbed; and there is the rising effect of groundwater capillary action. If only ideal pavement infiltration is considered during the assessment, the calculated total infiltration volume will be far less than the actual situation, resulting in excessively large spacing between drainage pipes that cannot meet actual drainage needs.

[0003] Furthermore, current drainage pipe layouts often rely on engineering experience or general specifications based on historical climate data, lacking scientific calculations tailored to the specific hydrogeological conditions of each road section. This "one-size-fits-all" approach fails to match the drainage capacity of the pipes with the actual infiltration volume, easily leading to insufficient drainage capacity or wasted engineering resources.

[0004] Therefore, how to design a drainage pipe spacing evaluation method that comprehensively considers multiple infiltration factors and combines drainage capacity with soil seepage theory for dual verification is a technical problem that urgently needs to be solved in this field. Summary of the Invention

[0005] To address the shortcomings of existing technologies, this invention proposes a method, system, equipment, and computer-readable storage medium for evaluating the spacing of transverse drainage pipes in roadbeds. This addresses the technical problems in existing technologies where drainage pipe layout often relies on engineering experience or general recommended values ​​based on historical climate data, and lacks specific hydrogeological calculations for particular road sections.

[0006] The technical solution adopted in this invention is to design a method that comprehensively considers multiple infiltration factors and combines drainage capacity with soil seepage theory for dual verification. In the first feasible method, a method for evaluating the spacing of transverse drainage pipes in roadbed includes the following steps: S1: Calculate the total infiltration rate of boundary water per unit time within the influence range of the drainage pipe; S2: Calculate the drainage capacity of the drainage pipe; S3: Compare the total infiltration rate of the boundary water with the drainage capacity to determine whether the drainage system meets the requirements; S4: In response to the drainage system not meeting the requirements of step S3, reduce the spacing between the drainage pipes and return to step S1; If the drainage system meets the requirements of step S3, proceed to step S5; S5: Compare the current spacing between the drain pipes with the theoretical maximum spacing. If the current spacing between the drain pipes is greater than the theoretical maximum spacing, reduce the spacing between the drain pipes and return to step S1. If the current spacing between the drain pipes is less than or equal to the theoretical maximum spacing, then the current spacing between the drain pipes is determined to meet the design requirements.

[0007] Furthermore, the total infiltration rate of boundary water per unit time within the influence area of ​​the drainage pipe is calculated, including: Based on the catchment width and catchment length of the drainage pipe, calculate the catchment area of ​​the road boundary water, and combine the set rainfall intensity and the comprehensive infiltration coefficient of the road surface to calculate the infiltration amount of the road surface without cracks. Based on the maximum possible water depth in the median strip, the water head at the location of the drainage pipe in the roadbed, the horizontal distance from the center of the median strip to the nearest drainage pipe, and the preset lateral infiltration coefficient of the median strip, the unilateral seepage of the median strip per unit length is calculated. Combined with the lateral infiltration area of ​​the median strip calculated based on the longitudinal length and lateral infiltration height within the influence range of a single drainage pipe, the infiltration amount of the median strip is calculated. Calculate the amount of capillary water seeping into the roadbed based on the capillary rise rate and the capillary action area within the influence range of the drainage pipe. If there are cracked sections on the road surface, calculate the total area of ​​all cracks within the influence range of the drainage pipe based on the length and average width of the road surface cracks, and calculate the infiltration amount of the cracked section in combination with the set rainfall intensity and discharge coefficient. The total road boundary water infiltration volume is calculated by summing the infiltration volume of the road surface without cracks, the infiltration volume of the cracked section, the infiltration volume of the median strip, and the capillary infiltration volume.

[0008] Furthermore, when detailed geological parameters are lacking, the runoff coefficient method is used to estimate the infiltration volume in the mid-section zone. The specific formula is as follows: in, This represents the amount of water that seeps into the roadbed in the median strip, where i represents the design rainfall intensity. W represents the catchment area of ​​the median strip controlled by a single drainage pipe, W represents the effective lateral infiltration height of the median strip, and C represents the lateral comprehensive infiltration coefficient of the median strip.

[0009] Furthermore, the drainage capacity of the drain pipe is calculated using the following formula: in, The value represents the drainage capacity of a single drain pipe, where A represents the cross-sectional area of ​​the drain pipe, P represents the wetted perimeter, R represents the hydraulic radius, and S represents the water flow area. b The slope of the drain pipe is represented by , and n represents the Manning roughness coefficient of the drain pipe.

[0010] Furthermore, the total infiltration rate of the boundary water is compared with the drainage capacity to determine whether the drainage system meets the requirements. The specific formula is as follows: in, This indicates the total amount of road boundary water infiltration within the influence area of ​​a single drainage pipe. This indicates the allowable infiltration rate within the area affected by a single drainage pipe. K represents the drainage capacity of a single drain pipe, and K represents the safety factor.

[0011] Furthermore, in response to the drainage system meeting the above requirements, the theoretical maximum spacing is calculated using seepage theory, with the specific formula as follows: in, The theoretical maximum spacing of the drainage pipes is given by: k represents the permeability coefficient of the subgrade soil, h represents the subgrade thickness, t represents the target drainage time, and γ represents the target drainage time. w Δh represents the water density, Δh represents the head difference, and D represents the diameter of the drain pipe.

[0012] In conjunction with the first feasible method, in the second feasible method, a roadbed transverse drainage pipe spacing evaluation system is characterized by comprising: The total infiltration calculation module is used to calculate the total infiltration of boundary water per unit time within the area affected by the drainage pipe; The drainage capacity calculation module is used to calculate the drainage capacity of the drainage pipe. The drainage capacity verification module is used to compare the total infiltration volume of the road boundary water with the drainage capacity to determine whether the drainage system meets the requirements; if the drainage system does not meet the requirements, the spacing between the drainage pipes is reduced and the total infiltration volume calculation module is triggered to recalculate; if the drainage system meets the requirements, the spacing verification module is triggered. The spacing verification module is used to compare the current spacing between the drainage pipes with the theoretical maximum spacing; in response to the current spacing between the drainage pipes being greater than the theoretical maximum spacing, the spacing between the drainage pipes is reduced, and the total infiltration calculation module is triggered to recalculate; in response to the current spacing between the drainage pipes being less than or equal to the theoretical maximum spacing, it is determined that the current spacing between the drainage pipes meets the design requirements.

[0013] In a third possible implementation, the present invention also proposes an apparatus including a memory and a processor, wherein the memory stores computer instructions that can be executed on the processor, and the processor executes the method for evaluating the spacing of transverse drainage pipes in the roadbed as described in the first possible implementation when executing the computer instructions.

[0014] In a fourth possible implementation, this disclosure also proposes a computer-readable storage medium storing computer instructions that, when executed, can implement the method for evaluating the spacing of transverse drainage pipes in the roadbed as described in the first possible implementation.

[0015] In a fifth possible implementation, this disclosure also proposes a computer program product comprising a computer program that, when executed by a processor, implements the method for evaluating the spacing of transverse drainage pipes in a roadbed as described in the first possible implementation.

[0016] As can be seen from the above technical solution, the beneficial technical effects of the present invention are as follows: By constructing a comprehensive model for calculating the total infiltration of road boundary water that considers multiple sources of replenishment, combining the drainage capacity calculation with the Manning formula, and verifying the drainage pipe spacing based on the theoretical maximum spacing of seepage theory, this method can achieve a scientific quantitative assessment of drainage pipe spacing for specific road sections with hydrogeological conditions, thereby improving the accuracy, reliability, and economy of roadbed drainage system design. Attached Figure Description

[0017] To more clearly illustrate the specific embodiments of the present invention or the technical solutions in the prior art, the accompanying drawings used in the description of the specific embodiments or the prior art will be briefly introduced below. In all the drawings, similar elements or parts are generally identified by similar reference numerals. In the drawings, the elements or parts are not necessarily drawn to scale.

[0018] Figure 1This is a flowchart of the method in Embodiment 1 of the present invention; Figure 2 This is a system structure diagram of Embodiment 2 of the present invention; Figure label: 21-A roadbed transverse drainage pipe spacing evaluation system; 22-Total infiltration calculation module; 23-Drainage capacity calculation module; 24-Drainage capacity verification module; 25-Spacing verification module. Detailed Implementation

[0019] The embodiments of the technical solution of the present invention will now be described in detail with reference to the accompanying drawings. These embodiments are merely illustrative of the technical solution of the present invention and are therefore intended to limit the scope of protection of the present invention.

[0020] It should be noted that, unless otherwise stated, the technical or scientific terms used in this application should have the ordinary meaning as understood by one of ordinary skill in the art to which this invention pertains.

[0021] Example 1 This embodiment provides a method for evaluating the spacing of transverse drainage pipes in roadbeds. The working principle of Embodiment 1 is explained in detail below: The method flowchart of this embodiment is as follows: Figure 1 As shown, the steps include: S1: Calculate the total infiltration rate of boundary water per unit time within the influence range of the drainage pipe; S2: Use Manning's formula to calculate the drainage capacity of the drain pipe under full-pipe or non-full-pipe flow conditions; S3: Compare the total infiltration rate of the boundary water with the drainage capacity to determine whether the drainage system meets the requirements; S4: In response to the drainage system not meeting the requirements of step S3, reduce the spacing between the drainage pipes and return to step S1; If the drainage system meets the requirements of step S3, proceed to step S5; S5: Compare the current spacing between the drain pipes with the theoretical maximum spacing. If the current spacing between the drain pipes is greater than the theoretical maximum spacing, reduce the spacing between the drain pipes and return to step S1. If the current spacing between the drain pipes is less than or equal to the theoretical maximum spacing, then the current spacing between the drain pipes is determined to meet the design requirements.

[0022] In this embodiment, taking the highway subgrade water accumulation treatment project as an example, the design rainfall intensity of this section is relatively large, and there are some longitudinal cracks in the road surface and poor drainage in the median strip. Therefore, the initial spacing between drainage pipes is set to 20 meters. In steps S4 and S5, if the current spacing between drainage pipes does not meet the requirements, the spacing between drainage pipes is reduced by 1 meter each time.

[0023] In step S1, the infiltration rate of boundary water within the influence range of the drainage pipe is calculated using the following infiltration rate calculation formula: Water within the influence range of the drainage pipe mainly infiltrates through the tiny pores in the pavement material itself. Therefore, the infiltration rate of the crack-free section of the pavement is calculated using the following formula: in, Indicates the amount of water infiltration at the road boundary of the section of road without cracks (m). 3 / s), where i represents the design rainfall intensity (mm / h), determined according to the rainstorm intensity formula and return period; in this embodiment, it is taken as 144 mm / h. The pavement infiltration coefficient is determined based on the type and condition of the pavement materials. This indicates the catchment area of ​​the road boundary water of the section affected by a single drainage pipe (m²). 2 L1 represents the water catchment length (m) of the road section affected by a single drainage pipe, and B1 represents the water catchment width (m) of the road section affected by a single drainage pipe.

[0024] When cracks develop in the pavement within the influence range of a drainage pipe, these cracks become rapid channels for water infiltration. All the water received from the road boundary in this cracked area will quickly infiltrate. Therefore, the infiltration rate in the cracked section can be calculated using the following formula: in, This indicates the water catchment volume (m³) at the road boundary of the section with cracks in the road surface affected by a single drainage pipe. 3 / s), i represents the design rainfall intensity (mm / h), This represents the leakage coefficient, usually taken as 1, indicating that all rainwater falling onto the crack immediately infiltrates. This represents the total area (m²) of all cracks within the influence range of a single drainage pipe. 2 ), This indicates the length (m) of a single road surface crack. This represents the average width (m) of a single road surface crack.

[0025] If drainage in the median strip within the area affected by the drainage pipe is inadequate, water from the median strip will seep laterally into the roadbed. Therefore, the amount of water seeping into the median strip should be calculated using the formula described below: Where q represents the unilateral seepage per unit length of the median strip, K3 represents the lateral infiltration coefficient of the median strip (m / s), which is determined according to the roadbed fill material, H1 represents the maximum possible water accumulation depth (m) in the median strip, H2 represents the water head (m) at the location of the drainage pipe in the roadbed, which is usually taken as 0, that is, assuming that the drainage pipe location can completely drain water, and D represents the horizontal distance (m) from the center of the median strip to the nearest drainage pipe. This represents the lateral infiltration area (m²) of the median strip within the influence range of a single drainage pipe. 2 ), This indicates the longitudinal length (m) within the influence range of a single drainage pipe. This indicates the lateral infiltration height (m) within the influence range of a single drainage pipe. Determined based on the influence range of the thickness of the median structural layer or the depth of water accumulation. This indicates the amount of water (m³) that seeps into the roadbed from the median strip. 3 / s).

[0026] When detailed geological parameters are lacking, the runoff coefficient method is used to estimate the infiltration volume in the mid-section zone. The specific formula is as follows: in, This indicates the amount of water (m³) that seeps into the roadbed from the median strip. 3 / s), i represents the design rainfall intensity (mm / h), This represents the catchment area (m²) controlled by a single drainage pipe in the median strip. 2 W represents the effective lateral infiltration height (m) of the mid-zone, and C represents the comprehensive lateral infiltration coefficient of the mid-zone.

[0027] Long-term capillary infiltration is one of the important factors leading to the accumulation of moisture in the roadbed and frost heave. Therefore, the capillary infiltration rate is calculated according to the following formula: in, This indicates the amount of water (m³) that seeps into the roadbed through capillary action. 3 / s), kc represents the capillary rise rate (m / s), which is related to the soil type, and A represents the capillary action area within the influence range of the drainage pipe (m²). 2 ), t represents time (s).

[0028] Infiltration volume in sections of road without cracks Infiltration rate in cracked sections Infiltration volume carried by the middle part and capillary water infiltration Total infiltration of water at road boundary calculated cumulatively The specific calculation formula is as follows: in, This indicates the total infiltration volume of water at the road boundary. This indicates the amount of water infiltration at the road boundary in sections of the road without cracks. This indicates the water catchment volume at the road boundary of a section of road with cracks in the pavement affected by a single drainage pipe. This indicates the amount of water that seeps into the roadbed from the median strip. This indicates the amount of water that seeps into the roadbed through capillary action.

[0029] In this embodiment, the drainage capacity of the drain pipe under full-pipe or non-full-pipe flow conditions is further calculated using the Manning formula. The specific formula is as follows: in, This indicates the drainage capacity (m) of a single drain pipe. 3 / s), A represents the cross-sectional area of ​​the drain pipe (m²). 2 P represents the wetted perimeter (m), R represents the hydraulic radius (m), and S represents the hydraulic radius. b The slope of the drain pipe is represented by the longitudinal slope, i.e., the inclination, and n represents the Manning roughness coefficient of the drain pipe.

[0030] In this embodiment, the total infiltration rate of boundary water is further compared with the drainage capacity to determine whether the drainage system meets the requirements. The specific formula is as follows: in, This indicates the total infiltration volume of boundary water entering the area affected by a single drainage pipe (m³). 3 / s), This indicates the allowable infiltration rate (m³) within the influence area of ​​a single drainage pipe. 3 / s), This indicates the drainage capacity (m) of a single drain pipe. 3 / s), K represents the safety factor.

[0031] In this embodiment, further, in response to the drainage system meeting the above requirements, the theoretical maximum spacing is calculated using seepage theory to verify whether the roadbed water can seep through the soil to the drainage pipe and be discharged within the target time. The specific formula is as follows: in, The theoretical maximum spacing of the drainage pipes is represented by k (m), the permeability coefficient of the subgrade soil is represented by h (m), the subgrade thickness is represented by t (s), and γ represents the target drainage time. w This indicates the specific gravity of water (N / m³). 3 ), Δh represents the head difference (m), and D represents the diameter of the drainage pipe (m).

[0032] In this embodiment, by constructing a comprehensive calculation model for the total infiltration of road boundary water considering multiple sources of replenishment, combining the drainage capacity verification with the Manning formula, and verifying the drainage pipe spacing based on the theoretical maximum spacing of seepage theory, this method can achieve a scientific quantitative assessment of the drainage pipe spacing for specific road sections based on their hydrogeological conditions, thereby improving the accuracy, reliability, and economy of roadbed drainage system design.

[0033] Example 2 In conjunction with the method in Example 1, this example provides a roadbed transverse drainage pipe spacing assessment system, the system structure diagram of which is shown below. Figure 2 As shown, it includes: The total infiltration calculation module is used to calculate the total infiltration of boundary water per unit time within the area affected by the drainage pipe; The drainage capacity calculation module is used to calculate the drainage capacity of the drainage pipe using the Manning formula. The drainage capacity verification module is used to compare the total infiltration volume of the road boundary water with the drainage capacity to determine whether the drainage system meets the requirements; if the drainage system does not meet the requirements, the spacing between the drainage pipes is reduced and the total infiltration volume calculation module is triggered to recalculate; if the drainage system meets the requirements, the spacing verification module is triggered. The spacing verification module is used to compare the current spacing between the drainage pipes with the theoretical maximum spacing; in response to the current spacing between the drainage pipes being greater than the theoretical maximum spacing, the spacing between the drainage pipes is reduced, and the total infiltration calculation module is triggered to recalculate; in response to the current spacing between the drainage pipes being less than or equal to the theoretical maximum spacing, it is determined that the current spacing between the drainage pipes meets the design requirements.

[0034] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some or all of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention, and they should all be covered within the scope of the claims and specification of the present invention.

Claims

1. A method for evaluating the spacing of cross drains of a roadbed, characterized by, The method comprises the following steps: S1: calculating the total road boundary water infiltration amount in the drainage pipe influence range per unit time; S2: calculating the drainage capacity of the drainage pipe; S3: comparing the total road boundary water infiltration amount with the drainage capacity to determine whether the drainage system meets the requirements; S4: in response to the drainage system not meeting the requirements of step S3, reducing the spacing between the drainage pipes and returning to step S1; in response to the drainage system meeting the requirements of step S3, entering step S5; S5: comparing the current spacing between the drainage pipes with the theoretical maximum spacing, in response to the current spacing between the drainage pipes being greater than the theoretical maximum spacing, reducing the spacing between the drainage pipes and returning to step S1; in response to the current spacing between the drainage pipes being less than or equal to the theoretical maximum spacing, determining that the current spacing between the drainage pipes meets the design requirements.

2. The method for evaluating the spacing of cross drains of subgrade according to claim 1, characterized in that, The calculation of the total road boundary water infiltration amount in the drainage pipe influence range per unit time comprises: calculating the road boundary water catchment area according to the catchment width and the catchment length corresponding to the drainage pipe, and combining the set rainfall intensity and the road surface comprehensive infiltration coefficient to calculate the road surface crack-free section infiltration amount; calculating the unit length center strip single-side seepage according to the maximum water accumulation depth possibly appearing in the center strip, the water head at the position of the drainage pipe in the roadbed, the horizontal distance from the center of the center strip to the nearest drainage pipe, and the preset center strip lateral infiltration coefficient, and combining the center strip lateral infiltration area calculated according to the longitudinal length and the lateral infiltration height in the influence range of a single drainage pipe to calculate the center strip infiltration amount; calculating the water amount of the capillary water infiltrating into the roadbed according to the capillary water rising rate and the capillary water action area in the influence range of the drainage pipe; if there is a crack section on the road surface, calculating the total area of all cracks in the influence range of the drainage pipe according to the road surface crack length and the road surface crack average width, and combining the set rainfall intensity and the discharge coefficient to calculate the crack section infiltration amount; adding up the road surface crack-free section infiltration amount, the crack section infiltration amount, the center strip infiltration amount, and the capillary water infiltration amount to calculate the total road boundary water infiltration amount.

3. The method for evaluating the spacing of cross drains of subgrade according to claim 2, characterized in that, When detailed geological parameters are lacking, the runoff coefficient method is used to estimate the center strip infiltration amount, and the specific formula is: wherein, represents the water amount infiltrated into the subgrade in the mid-division, i represents the design rainfall intensity, represents the catchment area controlled by a single drain, W represents the effective lateral infiltration height of the mid-division, and C represents the lateral comprehensive infiltration coefficient of the mid-division.

4. The method of claim 1, wherein, The calculation of the drainage capacity of the drainage pipe comprises the specific formula: wherein, represents the drainage capacity of a single drain pipe, A represents the cross-sectional area of the drain pipe, P represents the wetted perimeter, R represents the hydraulic radius, S b represents the longitudinal slope of the drain pipe, and n represents the Manning roughness coefficient of the drain pipe.

5. The method of claim 1, wherein, The comparison of the total road boundary water infiltration amount with the drainage capacity to determine whether the drainage system meets the requirements comprises the specific formula: wherein, represents the total road boundary water infiltration amount into the influence range of a single drain pipe, represents the allowable infiltration amount of the influence range of a single drain pipe, represents the drainage capacity of a single drain pipe, and K represents a safety factor.

6. The method of claim 1, wherein, in response to the drainage system meeting the above requirements, the theoretical maximum spacing is calculated through seepage theory, and the specific formula is: wherein, represents the theoretical maximum spacing of the drain pipe, k represents the permeability coefficient of the subgrade soil, h represents the subgrade thickness, t represents the target drainage time, γ w represents the water density, Δh represents the water head difference, D represents the drain pipe diameter.

7. A system for evaluating subgrade cross drain spacing, the system comprising: It comprises: a total infiltration amount calculation module, configured to calculate the total road boundary water infiltration amount in the drainage pipe influence range per unit time; a drainage capacity calculation module, configured to calculate the drainage capacity of the drainage pipe using the Manning formula; a drainage capacity checking module, configured to compare the total road boundary water infiltration amount with the drainage capacity to determine whether the drainage system meets the requirements; in response to the drainage system not meeting the requirements, the spacing between the drainage pipes is reduced, and the total infiltration amount calculation module is triggered to recalculate; in response to the drainage system meeting the requirements, the spacing checking module is triggered; a spacing checking module, configured to compare the current spacing between the drainage pipes with the theoretical maximum spacing. in response to the current distance between the drainage pipes being greater than the theoretical maximum distance, reducing the distance between the drainage pipes and triggering the total infiltration amount calculation module to recalculate; in response to the current distance between the drainage pipes being less than or equal to the theoretical maximum distance, determining that the current distance between the drainage pipes meets the design requirements.

8. An apparatus comprising a memory and a processor, said memory having stored thereon computer instructions executable on said processor, characterized in that, The processor executes the computer instructions to perform the roadbed transverse drainage pipe distance evaluation method of any one of claims 1 to 6.

9. A computer readable storage medium having stored thereon computer instructions, wherein, When the computer instructions are executed, the roadbed transverse drainage pipe distance evaluation method of any one of claims 1 to 6 can be implemented.

10. A computer program product, characterised in that, The computer program product comprises a computer program which, when executed by a processor, implements the roadbed transverse drainage pipe distance evaluation method of any one of claims 1 to 6.