Sand pile pile spacing calculation method, system, device, storage medium and product

By assuming equal soil volume and combining triangular and square distributions, the difficulty of determining the soil void ratio in the calculation of pile spacing using the vibro-compaction method was solved, enabling rapid and economical pile spacing calculation and improving design efficiency and economy.

CN122113236APending Publication Date: 2026-05-29CHINA HYDROELECTRIC ENGINEERING CONSULTING GROUP CHENGDU RESEARCH HYDROELECTRIC INVESTIGATION DESIGN AND INSTITUTE

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
CHINA HYDROELECTRIC ENGINEERING CONSULTING GROUP CHENGDU RESEARCH HYDROELECTRIC INVESTIGATION DESIGN AND INSTITUTE
Filing Date
2026-03-13
Publication Date
2026-05-29

AI Technical Summary

Technical Problem

Existing technologies require the determination of soil void ratio in the calculation of spacing between gravel piles using the vibro-compaction method. This results in a large workload, long time consumption, and high cost in the early design phase, making it difficult to meet the requirements of rapid response and economic analysis.

Method used

By assuming equal soil volumes and combining triangular and square distributions, the soil volume considering pile diameter enlargement without considering vibration settlement is equivalent to the soil volume considering vibration settlement with unchanged pile diameter. The spacing between sand and gravel piles is calculated, omitting the soil void ratio determination step.

Benefits of technology

It enables rapid calculation without the need to determine the soil void ratio, simplifying the design process, saving time and costs, and improving design efficiency.

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Abstract

The present application relates to the field of geotechnical engineering foundation treatment, in order to improve the calculation efficiency of pile spacing, provide a kind of gravel pile spacing calculation method, system, device, storage medium and product, by obtaining correction coefficient, pile diameter, soil thickness before processing, soil thickness after processing;Based on not considering vibration subsidence and considering the treatment volume of soil body of enlarged pile diameter, and the treatment volume of soil body when considering vibration subsidence and the pile diameter is unchanged, the two are equivalent, calculate the gravel pile spacing, without obtaining soil porosity ratio through experiment, the soil thickness before and after processing is obtained conveniently, so as to simplify the calculation process;It can quickly calculate the pile spacing before preliminary design, significantly save working time;Improve economic efficiency, reduce the cost of early exploration.
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Description

Technical Field

[0001] This invention relates to the field of foundation treatment in geotechnical engineering, specifically to a method, system, device, storage medium, and product for calculating the spacing of sand and gravel piles. Background Technology

[0002] Vibro-compaction, an important foundation treatment technology, is widely used in the reinforcement of sandy and silty soil foundations. This method creates cavities in the foundation through vibration or water jetting using a vibratory compactor, then fills them with sand and gravel in batches and compacts them to form large-diameter sand and gravel piles, thereby increasing the bearing capacity of the foundation and reducing settlement. Accurate calculation of the spacing between the sand and gravel piles is a key technical parameter in the design process of vibro-compaction, ensuring the reinforcement effect.

[0003] Currently, my country's "Technical Specification for Building Foundation Treatment" (JGJ 79-2012) specifies the calculation method for the spacing of gravel piles using the vibro-compaction method, including formula (7.2.2-1). The main calculation basis is s, where s is the spacing between the sand and gravel piles; The correction factor is used to account for the effects of vibration and settlement; d is the pile diameter; To address the void ratio of the soil before treatment; The required void ratio for the treated soil.

[0004] When using the above formula, the void ratio of the soil before reinforcement must be measured. and the pores of the reinforced soil This requirement significantly increases the workload in the early stages of design. Specifically, determining the void ratio requires detailed geotechnical testing, including soil sample collection, laboratory testing, and data analysis. This not only consumes a significant amount of time and money but may also lead to uncertainties in the results due to differences in testing conditions and operations. This technical requirement is particularly inconvenient in the preliminary design phase. When engineers need to quickly estimate pile spacing for scheme comparison and economic analysis, the application of existing formulas is greatly limited, severely impacting the efficiency and economy of the design work and making it difficult to meet the requirements of modern engineering design for rapid response and cost control. Summary of the Invention

[0005] To improve the efficiency of pile spacing calculation, this application provides a method, system, device, storage medium, and product for calculating the pile spacing of gravel piles.

[0006] The technical solution adopted by the present invention to solve the above problems is:

[0007] The calculation method for the pile spacing of vibro-compaction sand and gravel piles includes:

[0008] Step 1: Obtain the correction coefficient Pile diameter d, soil layer thickness before treatment The thickness of the treated soil layer ;

[0009] Step 2: Based on the equivalent treatment soil volume considering pile diameter enlargement without considering vibration settlement and treatment soil volume considering vibration settlement with unchanged pile diameter, calculate the spacing between sand and gravel piles.

[0010] Furthermore, when using a triangular distribution, based on Calculate the spacing s of the gravel piles; when using a square distribution, based on Calculate the spacing s between the sand and gravel piles.

[0011] The gravel pile spacing calculation system includes:

[0012] Data acquisition unit: used to acquire correction coefficients Pile diameter d, soil layer thickness before treatment The thickness of the treated soil layer ;

[0013] Spacing calculation unit: Based on the equivalent treatment soil volume considering pile diameter enlargement without considering vibration settlement and treatment soil volume considering vibration settlement with unchanged pile diameter, the spacing of sand and gravel piles is calculated.

[0014] Furthermore, when using a triangular distribution, based on Calculate the spacing s of the gravel piles; when using a square distribution, based on Calculate the spacing s between the sand and gravel piles.

[0015] A computer device includes a memory, a processor, and a computer program stored in the memory, wherein the processor executes the computer program to implement the steps of a method for calculating the spacing of gravel piles.

[0016] A computer-readable storage medium having a computer program stored thereon that, when executed by a processor, implements the steps of a method for calculating the spacing of gravel piles.

[0017] A computer program product includes a computer program that, when executed by a processor, implements the steps of a method for calculating the spacing of gravel piles.

[0018] The advantages of this invention compared to the prior art are: it eliminates the need to obtain the soil void ratio through experiments, and the soil layer thickness before and after treatment is easily obtained, thereby simplifying the calculation process; it enables rapid calculation of pile spacing in the early stages of preliminary design, significantly saving working time; it improves economic efficiency and reduces the cost of preliminary investigation. Attached Figure Description

[0019] Figure 1 A flowchart illustrating the calculation method for pile spacing in vibro-compaction sand and gravel piles. Detailed Implementation

[0020] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention.

[0021] Existing formulas require the determination of soil void ratio when calculating the spacing of gravel piles using the vibro-compaction method, which increases the workload in the early design phase and affects efficiency. This invention improves upon the principle that the treated soil volume is equal (i.e., the treated soil volume considering pile diameter enlargement without considering vibration settlement and the treated soil volume considering vibration settlement with unchanged pile diameter are equivalent). This results in a method that can calculate the spacing of gravel piles without relying on void ratio, thus eliminating the need for soil void ratio determination, improving calculation efficiency, and reducing preliminary survey costs.

[0022] like Figure 1 As shown, the calculation method for the pile spacing of vibratory compaction method gravel piles includes:

[0023] Step 1: Obtain the correction coefficient Pile diameter d, soil layer thickness before treatment The thickness of the treated soil layer ;

[0024] Step 2, when using a triangular distribution, based on Calculate the spacing s between the sand and gravel piles.

[0025] The derivation process of the formula of this invention is as follows:

[0026] First of all Squaring both sides and transforming them, we get: ,

[0027] based on Can Rewritten as: ;

[0028] Assuming the gravel piles are arranged in a triangular pattern, their replacement rate is... Then consider the replacement rate of the vibration subsidence coefficient.

[0029] ;

[0030] Calculations were performed based on the principle of soil particle volume conservation before and after reinforcement. In the formula, The area treated for a single gravel pile. The thickness of the soil layer before treatment. This refers to the thickness of the treated soil layer. When the crushed stone piles are distributed in a triangular pattern, the area treated by a single pile is... .

[0031] right Simplify as follows:

[0032] ,

[0033] ,

[0034] ,

[0035] because The above formula can be rewritten as:

[0036] ,but

[0037] ,

[0038] .

[0039] When using a square layout Similarly,

[0040] ,

[0041] ,

[0042] because ,but .

[0043] The accuracy of this invention is verified through actual projects as follows:

[0044] A development zone is located on a newly filled sandy soil treatment site. Vibro-compaction is planned to reinforce the site. During trial compaction, the compaction correction factor considering vibration settlement was measured to be 1.15. Now, treating an 8m thick layer of loose sand, when the vibro-compaction stone piles have a diameter of 500mm and are arranged in an equilateral triangle, the measured ground settlement after vibro-compaction is 0.4m. Therefore, what is the optimal pile spacing? = .

[0045] Subsequent experiments were conducted to determine the void ratio of the original sand. According to the principle of conservation of soil particle mass before and after reinforcement Calculate using project data. get , bring in , .

[0046] The calculation results using the method of this invention are consistent with the standard calculation results, proving the effectiveness of the method. The measured data includes the compaction correction coefficient. Sand thickness Pile diameter Ground subsidence The determination of the soil void ratio before reinforcement was omitted. and the pores of the reinforced soil Compared to this necessary condition, pile spacing can be quickly calculated in the early stages of preliminary design, saving working time and improving economic efficiency.

[0047] Correspondingly, the present invention also provides a system for calculating the pile spacing of vibratory compaction method gravel piles, including:

[0048] Data acquisition unit: used to acquire correction coefficients Pile diameter d, soil layer thickness before treatment The thickness of the treated soil layer ;

[0049] Spacing calculation unit: Based on the equivalent treatment soil volume considering pile diameter enlargement without considering vibration settlement and treatment soil volume considering vibration settlement with unchanged pile diameter, the spacing of sand and gravel piles is calculated; specifically, when using a triangular distribution, based on... Calculate the spacing s of the gravel piles; when using a square distribution, based on Calculate the spacing s between the sand and gravel piles.

[0050] A computer device includes a memory, a processor, and a computer program stored in the memory, wherein the processor executes the computer program to implement the steps of a method for calculating the spacing of gravel piles.

[0051] A computer-readable storage medium having a computer program stored thereon that, when executed by a processor, implements the steps of a method for calculating the spacing of gravel piles.

[0052] A computer program product includes a computer program that, when executed by a processor, implements the steps of a method for calculating the spacing of gravel piles.

Claims

1. A method for calculating the spacing of gravel piles, characterized in that, include: Step 1: Obtain the correction coefficient Pile diameter d, soil layer thickness before treatment The thickness of the treated soil layer ; Step 2: Based on the equivalent treatment soil volume considering pile diameter enlargement without considering vibration settlement and treatment soil volume considering vibration settlement with unchanged pile diameter, calculate the spacing between sand and gravel piles.

2. The method for calculating the spacing of gravel piles according to claim 1, characterized in that, When using a triangular distribution, based on Calculate the spacing s of the gravel piles; when using a square distribution, based on Calculate the spacing s between the sand and gravel piles.

3. A system for calculating the spacing of gravel piles, characterized in that, include: Data acquisition unit: used to acquire correction coefficients Pile diameter d, soil layer thickness before treatment The thickness of the treated soil layer ; Spacing calculation unit: Based on the equivalent treatment soil volume considering pile diameter enlargement without considering vibration settlement and treatment soil volume considering vibration settlement with unchanged pile diameter, the spacing of sand and gravel piles is calculated.

4. The gravel pile spacing calculation system according to claim 3, characterized in that, When using a triangular distribution, based on Calculate the spacing s of the gravel piles; when using a square distribution, based on Calculate the spacing s between the sand and gravel piles.

5. A computer device comprising a memory, a processor, and a computer program stored in the memory, characterized in that, The processor executes the computer program to implement the steps of the method for calculating the spacing of gravel piles as described in claim 1.

6. A computer-readable storage medium having a computer program stored thereon, characterized in that, When the computer program is executed by the processor, it implements the steps of the method for calculating the spacing of gravel piles as described in claim 1.

7. A computer program product, comprising a computer program, characterized in that, When the computer program is executed by the processor, it implements the steps of the method for calculating the spacing of gravel piles as described in claim 1.