Method for estimating grouting influence radius and grouting rate of homogeneous stratum based on grouting amount

Abstract

The invention relates to the technical field of geotechnical engineering and grouting, in particular to a grouting amount-based homogeneous stratum grouting influence radius and grouting rate estimation method, which comprises the following steps of: collecting data; calculating the relationship between the overlapping area and the influence radius; deducing the influence radius and the injection rate; performing relation derivation and calculation; and estimating the injection rate. According to the method, through reasonable assumption and scientific mathematical derivation, the estimation process of the grouting influence radius and the grouting rate is effectively simplified. Compared with a traditional empirical formula and a complex numerical simulation method, the estimation method can fully consider the overlapping effect between the grouting holes, and the accuracy of the estimation result is greatly improved.

Description

Technical Field

[0001] The present invention relates to the technical fields of geotechnical engineering and grouting technology, and specifically provides an estimation method for the grouting influence radius and injection rate in homogeneous strata based on the grouting volume. Background Art

[0002] In geotechnical engineering practice, the grouting technology has become a widely used technical means due to its remarkable effects such as enhancing the bearing capacity of the foundation, anti-seepage, and reinforcement. However, accurately estimating the grouting influence radius and injection rate is crucial for ensuring the scientificity of engineering design and the reliability of construction effects. At present, the existing grouting estimation methods have obvious limitations: on the one hand, empirical formulas are difficult to accurately consider the interaction effects between holes during multi-hole grouting, resulting in a large deviation between the estimation results and the actual situation; on the other hand, although complex numerical simulations can theoretically reflect the grouting process more accurately, this method requires a large amount of computing resources, takes a long time in the calculation process, and has a complex operation process, with high requirements for the professional level of technicians and computing equipment. This not only increases the engineering cost and time cost but also restricts the efficient application of grouting technology in actual projects to a certain extent. Therefore, there is an urgent need for an innovative estimation method that can fully consider the overlapping effect of grouting holes, simplify the calculation process, and improve the prediction accuracy to make up for the deficiencies of the existing technology. Summary of the Invention

[0003] In view of the deficiencies of the existing technology, the present invention provides an estimation method for the grouting influence radius and injection rate in homogeneous strata based on the grouting volume. By fully considering the slurry overlapping effect between grouting holes, a scientific and reasonable mathematical relationship is established to simplify the estimation process, thereby improving the accuracy of grouting construction design and construction efficiency, and effectively reducing the waste of engineering resources.

[0004] To achieve the above objectives, the present invention is realized through the following technical solutions: A combined estimation method for the grouting influence radius and injection rate in homogeneous strata based on the grouting volume, the method comprising the following steps:

[0005] S1. Data collection: Obtain the grouting volume Q1 of the first grouting hole, the grouting volume Q2 of the second grouting hole, the hole spacing d between the two grouting holes, the grouting length L, the assumed grouting influence radius r, and the assumed injection rate ρ;

[0006] S2. Calculate the relationship between the overlapping area A and the influence radius r: Based on geometric methods, use the formula

[0007] to calculate the relationship between the overlapping area A between the two grouting holes and the influence radius r;

[0008] S3. Deduce the influence radius and injection rate: According to Q1 = πr 2×L×ρ and Q2 = (πr 2 -A)×L×ρ

[0009] Describe the grouting volumes of two grouting holes;

[0010] S4. Relationship derivation and calculation: According to the ratio of the grouting volumes of two grouting holes Substitute the known Q1, Q2 and d, and combine with the above overlapping area formula to derive the influence radius r and the overlapping area A;

[0011] S5. Estimation of the injection rate: According to the derived influence radius r, use Q1 = πr 2 ×L×ρ and Q2 = (πr 2 -A)×L×ρ to further derive the injection rate ρ. Through this comprehensive method, various key factors in the grouting process can be fully considered, including grouting volume, hole spacing, overlapping area, etc., greatly improving the accuracy of estimating the grouting influence radius and injection rate. Accurate estimation results help engineers formulate more reasonable grouting construction plans, avoid waste of resources, improve project quality and efficiency, and reduce project costs. At the same time, this method has universality and operability, and is applicable to grouting projects in various homogeneous strata, providing effective technical support for grouting design and construction in the geotechnical engineering field.

[0012] Preferably, in the data collection step, the obtained grouting volumes Q1 and Q2 are measured by precise grouting metering equipment, the hole spacing d is measured using a high-precision measuring tool, and the grouting length L is accurately determined according to the engineering design and actual construction conditions on site. Precise grouting metering equipment can accurately measure the grouting volume, high-precision measuring tools ensure the accuracy of the hole spacing, and the grouting length determined according to the actual situation is more in line with the engineering reality. These accurate data can effectively reduce the errors in the subsequent calculation process, making the grouting influence radius and injection rate calculated based on these data closer to the actual situation. Thereby improving the credibility and practicality of the entire estimation method, and providing a more reliable basis for engineering decision-making.

[0013] Preferably, in the step of calculating the relationship between the overlapping area and the influence radius, the formula is derived based on the area calculation principle of the circular intersection region in plane geometry, and is obtained through geometric analysis and mathematical derivation of the intersection part of two circles. This formula is applicable to the calculation of the overlapping area of any two grouting holes that meet the hole spacing conditions. By accurately calculating the overlapping area and incorporating it into the subsequent calculation, the estimation result can more truly reflect the actual diffusion situation of the grout during the grouting process, improving the accuracy and reliability of the estimation. Moreover, this formula has universality and is applicable to various combinations of grouting holes that meet the conditions, enhancing the applicability and practicality of the method of the present invention.

[0014] Preferably, in the step of deriving the influence radius and the grouting rate: Q1 = πr 2 ×L×ρ and Q2 = (πr 2 -A)×L×ρ are established based on the following idealized model: The grouting in the homogeneous formation diffuses uniformly in a cylindrical manner, and during the entire grouting process, the physical properties of the formation, the properties of the grouting slurry, the grouting pressure, and the grouting rate all remain constant. By simplifying the complex grouting process into a uniform diffusion in a cylinder in the homogeneous formation and assuming that the relevant parameters are constant, the originally complex grouting problem can be accurately described and analyzed by mathematical formulas. This simplification not only ensures the feasibility of the calculation but also does not deviate too much from the actual situation, enabling engineers to obtain relatively accurate estimation results through simple mathematical operations. At the same time, the establishment of this model also provides a unified standard and framework for subsequent calculations and analyses, improving the scientificity and standardization of the estimation method.

[0015] Preferably, in the step of relationship derivation and calculation, when solving for the overlapping area A and the influence radius r, numerical calculation methods such as the iterative method and the bisection method are used, and fast and accurate solutions are achieved through computer programming. Traditional manual calculation methods are not only cumbersome and error-prone but also often require a large amount of time and effort for solving complex formulas. However, the present invention uses numerical calculation methods and computer programming to quickly solve for the influence radius and the overlapping area, greatly shortening the calculation time. At the same time, the high-precision calculation ability of computer programming can effectively reduce calculation errors, making the estimation results more accurate and reliable. This enables engineering and technical personnel to obtain accurate estimation results in a short time, providing timely support for engineering decisions and improving the overall efficiency of the project.

[0016] Preferably, this method is applicable to various types of homogeneous formations, including but not limited to grouting projects under different geological conditions such as sandy soil, clay, and silty clay. Whether it is sandy soil, clay, or silty clay and other different types of homogeneous formations, the method of the present invention can be used to estimate the grouting influence radius and the grouting rate. This provides a unified solution for grouting projects in different regions and of different types, avoiding the trouble of using different estimation methods due to different formation types. Engineers can directly apply the method of the present invention for estimation according to the formation conditions of the actual project, improving the efficiency of engineering design and construction, and reducing the technical difficulty and cost.

[0017] The beneficial effects of the present invention are as follows: Through reasonable assumptions and scientific mathematical derivations, the present invention effectively simplifies the estimation process of the grouting influence radius and the grouting penetration rate. Compared with traditional empirical formulas and complex numerical simulation methods, the estimation method of the present invention can fully consider the overlapping effect between grouting holes, greatly improving the accuracy of the estimation results. This not only helps engineers formulate more scientific and reasonable construction plans during the grouting construction design stage, but also enables precise control during the construction process, avoiding resource waste and engineering quality problems caused by estimation errors, thereby effectively improving the engineering efficiency and reducing the engineering cost. BRIEF DESCRIPTION OF THE DRAWINGS

[0018] Figure 1 is a flowchart of the present invention;

[0019] Figure 2 is a schematic diagram of the influence radius and overlapping effect of grouting holes in the present invention;

[0020] Figure 3 is a schematic diagram of the relationship between the grouting volume and the grouting radius in the present invention. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0021] Next, the technical solutions in the embodiments of the present invention will be clearly and completely described in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all of the embodiments.

[0022] Next, in conjunction with Figure 1 the algorithm process and principle will be described.

[0023] This method assumes that vertical grouting holes are in a homogeneous formation, with the same slurry concentration, grouting pressure, and grouting penetration rate, and the grouting volume diffuses in a cylindrical shape. In a certain project in a homogeneous formation, the slurry used is cement slurry with a water-cement ratio of 1:0.8, the rotary jet grouting pressure is 30 MPa, the hole spacing d = 3 m is adopted, and the test results show that the grouting volume Q1 of the first grouting hole is 2.0964 m 3 , and the grouting volume Q2 of the second grouting hole is 1.5859 m 3 , L = 1 m.

[0024] The specific calculation steps include:

[0025] S1, data collection:

[0026] Obtain the basic parameters of the grouting holes, including:

[0027] the grouting volume Q1 of the first grouting hole,

[0028] the grouting volume Q2 of the second grouting hole,

[0029] the hole spacing d between the two grouting holes so far,

[0030] The grouting length (height of the grouting volume) L,

[0031] The assumed grouting influence radius r,

[0032] The assumed grouting rate ρ (the ratio of the grout injection volume to the grouting volume).

[0033] S2, calculating the relationship between the overlapping area and the influence radius:

[0034] Based on the geometric method, calculate the relationship between the overlapping area A and the influence radius r between two grouting holes. The overlapping area formula is as follows:

[0035]

[0036] This formula is applicable to the case where the hole spacing d is less than or equal to the influence diameter 2r of two grouting holes;

[0037] When the hole spacing d = 3m, the formula is simplified to:

[0038]

[0039] S3, deriving the influence radius and the grouting rate:

[0040] The grouting volumes of the first grouting hole and the second grouting hole are described by the following formulas respectively:

[0041] Q1 = πr 2 × L × ρ (2)

[0042] Q2 = (πr 2 - A) × L × ρ (3)

[0043] S4, relationship derivation and calculation:

[0044] Based on the ratio of the grouting volumes of two grouting holes, establish the following relationship:

[0045]

[0046] Substitute d = 3m, Q1 = 2.0964m 3 , Q2 = 1.5859m 3 , and derive the influence radius r and the overlapping area A according to formula (1’) and formula (4);

[0047] After calculation, r = 2.34m, A = 4.19m 2 .

[0048] S5, estimation of the grouting rate:

[0049] According to the derived influence radius r, further derive the grouting rate ρ using formula (2) or formula (3),

[0050] Derive the grouting rate ρ = 12.1869% according to formula (2).

[0051] Derive the grouting rate ρ = 12.1915% according to formula (3).

[0052] The error of the grouting rate calculated by the two formulas does not exceed 0.01%, which fully shows that the estimation method provided by the present invention has good calculation effect and high accuracy and reliability.

[0053] Adjust the subsequent grouting construction plan according to the estimated grouting influence radius and grouting rate. For example, reasonably adjust the layout spacing of grouting holes and optimize the control of grouting volume to ensure uniform grouting effect in the entire foundation reinforcement area.

[0054] After the grouting construction is completed, use a variety of detection means to evaluate the foundation reinforcement effect. Such as conducting static cone penetration tests, standard penetration tests, etc. to detect the bearing capacity and density of the foundation; use geophysical methods such as ground penetrating radar to detect the distribution of grout bodies. The test results show that the bearing capacity of the foundation has been significantly improved and meets the design requirements, proving the effectiveness of the method of the present invention in practical engineering.

[0055] The above is only a preferred specific embodiment of the present invention, but the protection scope of the present invention is not limited thereto. Any person skilled in the art within the technical scope disclosed by the present invention, according to the technical solution and inventive concept of the present invention, makes equivalent substitutions or changes, and should be covered by the protection scope of the present invention.

Claims

1. A joint estimation method for grouting influence radius and grouting rate of homogeneous formation based on grouting amount, characterized in that: The method comprises the following steps: S1, data collection: obtain the grouting volume Q1 of the first grouting hole, the grouting volume Q2 of the second grouting hole, the hole spacing d between the two grouting holes, the grouting length L, the assumed grouting influence radius r and the assumed grouting rate ρ; S2. Calculate the relationship between the overlapping area A and the influence radius r: Based on the geometric method, use the formula Calculate the relationship between the overlapping area A between two grouting holes and the influence radius r; S3. Derivation of influence radius and injection rate: Based on Q1 = πr 2 ×L×ρ and Q2=(πr 2 -A)×L×ρ describes the grouting volume of the two grouting holes; S4. Relation derivation and calculation: According to the grouting volume ratio of the two grouting holes Substituting the known Q1, Q2 and d, combined with the above overlap area formula, the influence radius r and overlap area A can be derived; S5. Estimation of injection rate: Based on the derived influence radius r, use Q1 = πr 2 ×L×ρ and Q2=(πr 2 -A)×L×ρ further derives the perfusion rate ρ.

2. A joint estimation method for grouting influence radius and grouting rate of homogeneous formation based on grouting amount according to claim 1, characterized in that: In the data collection step, the grouting amounts Q1 and Q2 are obtained by measuring with precise grouting metering equipment, the hole spacing d is measured with a high-precision measuring tool, and the grouting length L is accurately determined based on the engineering design and actual on-site construction conditions.

3. The method for jointly estimating the grouting influence radius and the grouting rate of homogeneous formations based on the grouting amount according to claim 1 is characterized in that: In the step of calculating the relationship between the overlapping area and the influence radius, the formula The derivation of is based on the area calculation principle of the circular intersection area in plane geometry. It is obtained by geometric analysis and mathematical deduction of the intersection of two circles. This formula is applicable to the calculation of the overlapping area of ​​any two grouting holes that meet the hole spacing conditions.

4. The method for jointly estimating the grouting influence radius and the grouting rate of homogeneous formations based on the grouting amount according to claim 1 is characterized in that: In the step of deriving the influence radius and the injection rate: Q1 = πr 2 ×L×ρ and Q2=(πr 2 The establishment of the formula is based on the following idealized model: the grouting in the homogeneous formation spreads uniformly in a cylindrical manner, and the physical properties of the formation, the properties of the grouting slurry, the grouting pressure and the injection rate remain constant throughout the grouting process.

5. The method for jointly estimating the grouting influence radius and the grouting rate of homogeneous formations based on the grouting amount according to claim 1, characterized in that: In the relationship derivation and calculation steps, when solving the overlapping area A and the influence radius r, numerical calculation methods, such as iteration method, dichotomy method, etc., are used to achieve fast and accurate solutions through computer programming.

6. A joint estimation method for grouting influence radius and grouting rate of homogeneous formation based on grouting amount according to claim 1, characterized in that: This method is applicable to grouting projects under various homogeneous strata, including but not limited to sand, clay, silty clay and other geological conditions.

Images