Method and system for evaluating non-Darcy flow grouting fullness degree of deteriorated base layer of in-service road

Abstract

The invention provides a method and a system for evaluating the fullness degree of non-Darcy flow grouting of a degraded base layer of an in-service road, and belongs to the technical field of road repair, and the method comprises the following steps: establishing a non-Darcy flow grouting diffusion model suitable for the degraded base layer of the in-service road; the grouting fluid diffusion radius is jointly determined by acquiring grouting related parameters and in-service road degraded base layer related parameters in advance, and the grouting fluid diffusion radius is dynamically updated through the grouting time, so that the non-Darcy flow grouting fullness degree of the in-service road degraded base layer is dynamically evaluated. The method is realized based on a road degraded base grouting fluid non-Darcy flow diffusion model, the grouting fluid diffusion radius is jointly determined by acquiring grouting related parameters and in-service road degraded base related parameters in advance, and the non-Darcy flow grouting fullness degree of the in-service road degraded base is divided through the grouting fluid diffusion radius.

Description

Technical Field

[0001] The invention relates to the technical field of road repair, and in particular to a method and a system for evaluating the fullness of non-Darcy flow grouting of a deteriorated base of an in-service highway. Background Art

[0002] Grouting technology is an effective trenchless technology for treating deteriorated bases of operating roads. However, since the road base is a concealed structure, in the trenchless treatment scenario, grouting technology has a certain degree of blindness, and the grouting fullness is difficult to accurately grasp, resulting in poor treatment effects of many road deterioration base grouting projects. The diffusion radius of the grouting liquid is an extremely critical indicator for controlling the fullness of the grouting. If the diffusion radius of the grouting liquid is improperly determined, two situations may occur: First, the grouting liquid does not completely cover the area to be treated, resulting in a low degree of grouting fullness and poor grouting effect; Second, the slurry diffusion range is too large, resulting in a waste of grouting materials. Therefore, the grouting liquid diffusion radius needs to be as accurate as possible. The existing calculation methods for the diffusion radius of the grouting liquid are often obtained by experience, such as the "Technical Guidelines for Grouting Reinforcement of Highway Pavement Base" (DBJT45 / T 030-2021), which lack scientificity. There are also some calculation methods for the diffusion radius of the grouting liquid that are obtained by assuming that the slurry is a Darcy flow state. However, the permeability of the road base is between that of soil and rock, and it belongs to a low-permeability medium. The diffusion of the slurry in the base conforms to the non-Darcy flow state. Therefore, it is not in line with the actual situation to determine the grouting fullness of the deteriorated base of the in-service highway based on the existing grouting liquid diffusion radius. Therefore, it is necessary to design a non-Darcy flow grouting fullness evaluation method and system for the deteriorated base of the in-service highway. Summary of the invention

[0003] The purpose of the present invention is to provide a method and system for evaluating the fullness of non-Darcy flow grouting of deteriorated base of in-service highways, so as to solve the technical problem that the existing grouting liquid diffusion radius for determining the fullness of grouting of deteriorated base of in-service highways does not conform to the actual situation, the permeability of the road base is between soil and stone, and it belongs to a low-permeability medium. The diffusion of slurry in the base conforms to the non-Darcy flow state, and the quality of grouting construction cannot be ensured.

[0004] Improve the accuracy and efficiency of the evaluation of the grouting fullness of the deteriorated base of in-service highways. This method is based on the non-Darcy flow diffusion model of the grouting liquid of the deteriorated base of the road. The grouting liquid diffusion radius is determined by obtaining the grouting related parameters and the related parameters of the deteriorated base of the in-service highway in advance, and the non-Darcy flow grouting fullness of the deteriorated base of the in-service highway is divided by the grouting liquid diffusion radius. This method can dynamically update the grouting liquid diffusion radius according to the grouting time, so as to achieve dynamic evaluation of the non-Darcy flow grouting fullness of the deteriorated base of the in-service highway. The system is composed of a data acquisition unit, a data processing unit and an evaluation unit. It can monitor the grouting liquid diffusion radius in real time, and quickly evaluate the non-Darcy flow grouting fullness of the deteriorated base of the in-service highway through data processing and analysis.

[0005] In order to achieve the above object, the technical solution adopted by the present invention is as follows:

[0006] A method for evaluating the fullness of non-Darcy flow grouting on deteriorated base of in-service highways is proposed. A non-Darcy flow grouting diffusion model suitable for deteriorated base of in-service highways is established. The grouting liquid diffusion radius is determined by obtaining grouting-related parameters in advance and related parameters of deteriorated base of in-service highways. The grouting liquid diffusion radius is dynamically updated according to the grouting time, thereby achieving dynamic evaluation of the fullness of non-Darcy flow grouting on deteriorated base of in-service highways.

[0007] Furthermore, a non-Darcy flow grouting diffusion model suitable for deteriorated base of in-service highways is established. The input parameters of the non-Darcy flow grouting diffusion model for deteriorated base of in-service highways include the grouting pipe radius r0, the grouting pressure p g , slurry density ρ g , dynamic viscosity of the slurry μ g , the compressibility coefficient c of the slurry g , base grouting depth H, base permeability β, base porosity , the compression coefficient c of the base layer s , the initial water pressure of the base layer p0, the base layer empirical coefficient m related to seepage and the grouting diffusion radius R(t) related to the grouting time t.

[0008] Furthermore, the specific process of establishing a non-Darcy flow grouting diffusion model suitable for deteriorated base of in-service highways is as follows:

[0009] The governing equations of the non-Darcy flow grouting diffusion model for deteriorated base of in-service highways are as follows:

[0010]

[0011] where c t =c s +c g ;

[0012] At the initial time of grouting, i.e., time t = 0, p(r, t) obeys the following initial conditions:

[0013] p(r,0)=p0 (26)

[0014] The slurry is injected into the road base from the grouting pipe. During the grouting process, the grouting pressure remains constant. For the radius of the grouting pipe, that is, r = r0, p(r, t) obeys the following boundary conditions:

[0015] p(r=r0,t)=p g (27)

[0016] During the slurry transmission process in the base layer, the grouting pressure at the front edge of the slurry has the following specific relationship:

[0017] p(r=R(t),t)=p0 (28)

[0018]

[0019] The above equations (1) to (5) together constitute the mathematical model of the non-Darcy flow grouting diffusion model for deteriorated base of in-service highways.

[0020] Furthermore, by solving the above equations (1) to (5), the non-Darcy flow grouting diffusion model of deteriorated base of in-service highway can be obtained;

[0021] Construct a new function as follows

[0022]

[0023] Substituting equation (6) into the mathematical model of the non-Darcy flow grouting diffusion model for deteriorated base of in-service highways, namely equations (1) to (5), the following four equations can be obtained:

[0024]

[0025] p(η=0)=p0 (32)

[0026] p(η=η0)=p g (33)

[0027] p(η=η R )=p0 (34)

[0028]

[0029] in and

[0030] Set dp / dη=P and reduce the order of equation (7) to the following:

[0031]

[0032] The above equation is a Bernoulli form equation, and its general solution is:

[0033]

[0034] Substituting the above formula (11) into formula (13), we can determine that c in formula (13) is:

[0035]

[0036] Therefore, we rewrite equation (13) as follows:

[0037]

[0038] Further processing the above formula (15), rewrite it as follows:

[0039]

[0040] in,

[0041] The corresponding rewrites of equations (9) to (10) are as follows:

[0042]

[0043] Integrating equation (16) and combining it with equation (18) yields the following equation:

[0044]

[0045] Substituting formula (17) into formula (19) we can further obtain:

[0046]

[0047] Rearranging equation (20), we get η R The values ​​are:

[0048]

[0049] By combining equation (6) and equation (21), the grouting liquid diffusion radius R(t) of the non-Darcy flow grouting diffusion model for deteriorated base of in-service highway is derived as:

[0050]

[0051] Let t in formula (22) be equal to the set grouting time T, and the diffusion radius R(T) of the non-Darcy flow grouting liquid for the deteriorated base of the in-service highway can be obtained, as shown in the following formula.

[0052]

[0053] Furthermore, the specific process of determining the diffusion radius of the grouting liquid by obtaining the grouting related parameters and the related parameters of the deteriorated base of the in-service highway in advance is as follows:

[0054] By collecting the grouting pipe radius r0 and grouting pressure p g , slurry density ρ g , dynamic viscosity of slurry μ g , the compressibility coefficient c of the slurry g , base grouting depth H, base permeability β, base porosity Compression coefficient of base layer c s , the initial water pressure of the base layer p0, and the empirical coefficient of the base layer related to seepage m are simultaneously brought into formula (23), and the R(T) value can be solved.

[0055] Furthermore, the specific process of dynamically updating the diffusion radius of the grouting liquid by the grouting time to dynamically evaluate the fullness of the non-Darcy flow grouting of the deteriorated base of the in-service highway is as follows:

[0056] The unit grid of the grouting reinforcement area is set as a square with a side length of L, and the non-Darcy flow grouting fullness index A(T) of the deteriorated base of the in-service highway is defined as follows:

[0057]

[0058] The non-Darcy flow grouting fullness index A(T) of the deteriorated base of in-service highways is calculated to divide the evaluation grades of the non-Darcy flow grouting fullness of the deteriorated base of in-service highways.

[0059] A system for evaluating the fullness of non-Darcy flow grouting of deteriorated base of an in-service highway comprises a data acquisition unit, a data processing unit and an evaluation unit, wherein the data acquisition unit is connected to the evaluation unit via the data processing unit;

[0060] The data acquisition unit is used to collect the grouting pipe radius r0, grouting pressure p g , slurry density ρ g , dynamic viscosity of slurry μ g , the compressibility coefficient c of the slurry g , base grouting depth H, base permeability β, base porosity Compression coefficient of base layer c s, initial water pressure of the base p0, empirical coefficient of the base related to seepage m, the data processing unit is composed of the analytical solution of the non-Darcy flow grouting diffusion model of the deteriorated base of the in-service highway. By importing the data in the data acquisition unit into the data processing unit, the development of the diffusion radius R(T) of the non-Darcy flow grouting liquid of the deteriorated base of the in-service highway with the grouting time T can be obtained. The evaluation unit consists of a square unit grid with a side length of L in the grouting reinforcement area, including the non-Darcy flow grouting fullness index A(T) of the deteriorated base of the in-service highway and the non-Darcy flow grouting fullness grading method of the deteriorated base of the in-service highway. The non-Darcy flow grouting fullness index A(T) of the deteriorated base of the in-service highway is determined by the grouting liquid diffusion radius R(T) and the square unit grid with a side length of L. Then, the non-Darcy flow grouting fullness grading method of the deteriorated base of the in-service highway is used to divide the non-Darcy flow grouting fullness grade of the deteriorated base of the in-service highway.

[0061] Furthermore, the grouting time T in the data processing unit is updated in real time as needed, and the updated data can cause the grouting liquid diffusion radius R(T) to change, thereby achieving a dynamic evaluation of the non-Darcy flow grouting fullness of the deteriorated base of the in-service highway.

[0062] The present invention has the following beneficial effects due to the adoption of the above technical solution:

[0063] The present invention is based on the non-Darcy flow diffusion model of the grouting liquid for the deteriorated base of the road. The diffusion radius of the grouting liquid is determined by obtaining the grouting related parameters and the deteriorated base related parameters of the in-service highway in advance. The fullness of the non-Darcy flow grouting of the deteriorated base of the in-service highway is divided according to the grouting liquid diffusion radius. BRIEF DESCRIPTION OF THE DRAWINGS

[0064] Figure 1 It is a block diagram of the grouting fullness level evaluation system of the present invention;

[0065] Figure 2 The data processing unit of the embodiment of the present invention outputs an image;

[0066] Figure 3 It is the output image of the evaluation unit in the embodiment of the present invention. DETAILED DESCRIPTION

[0067] In order to make the purpose, technical solution and advantages of the present invention more clearly understood, the present invention is further described in detail below with reference to the accompanying drawings and preferred embodiments. However, it should be noted that many details listed in the specification are only for the purpose of enabling the reader to have a thorough understanding of one or more aspects of the present invention, and these aspects of the present invention can be implemented even without these specific details.

[0068] like Figure 1As shown, a method system for evaluating the fullness of non-Darcy flow grouting of deteriorated base of an in-service highway includes a data acquisition unit, a data processing unit and an evaluation unit, wherein the data acquisition unit is connected to the evaluation unit via the data processing unit.

[0069] The data acquisition unit is used to collect the grouting pipe radius r0, grouting pressure p g , slurry density ρ g , dynamic viscosity of slurry μ g , the compressibility coefficient c of the slurry g , base grouting depth H, base permeability β, base porosity Compression coefficient of base layer c s , initial water pressure of the base p0, empirical coefficient of the base related to seepage m, the data processing unit is composed of the analytical solution of the non-Darcy flow grouting diffusion model of the deteriorated base of the in-service highway. By importing the data in the data acquisition unit into the data processing unit, the development of the diffusion radius R(T) of the non-Darcy flow grouting liquid of the deteriorated base of the in-service highway with the grouting time T can be obtained. The evaluation unit consists of a square unit grid with a side length of L in the grouting reinforcement area, including the non-Darcy flow grouting fullness index A(T) of the deteriorated base of the in-service highway and the non-Darcy flow grouting fullness grading method of the deteriorated base of the in-service highway. The non-Darcy flow grouting fullness index A(T) of the deteriorated base of the in-service highway is determined by the grouting liquid diffusion radius R(T) and the square unit grid with a side length of L. Then, the non-Darcy flow grouting fullness grading method of the deteriorated base of the in-service highway is used to divide the non-Darcy flow grouting fullness grade of the deteriorated base of the in-service highway.

[0070] Based on a real road deterioration base grouting project, according to the grouting situation and road base conditions, the following set of measured calculation parameters are given: grouting pipe radius r0 = 0.019m, grouting pressure p g =10 6 Pa, slurry density ρ g =2038.1kg / m 3 , dynamic viscosity of slurry μ g =258.5Pa·s and the compressibility coefficient of the slurry c g =4.6×10 -10 Pa -1 , base grouting depth H = 0.8m, base permeability β = 2.16×10 -14 m 2 , the porosity of the base layer Compression coefficient of base layer c s =8×10 - 10 Pa -1 , the initial water pressure of the base layer p0 = 0Pa, and the empirical coefficient of the base layer related to seepage m = 1.65. The side length L of the square unit grid in the grouting reinforcement area is 3m.

[0071] Operation degradation level evaluation system:

[0072] (1) Click Start to enter the data acquisition unit.

[0073] (2) Substituting the above r0, p g , ρ g , μ g , c g ,H,β, c s , p0, m import the data acquisition system, click next to enter the data processing unit.

[0074] (3) The data processing unit can automatically output the development of the diffusion radius R(T) of the non-Darcy flow grouting liquid on the deteriorated base of the in-service highway, as follows Figure 2 Click Next to enter the evaluation unit.

[0075] (4) Evaluation unit. According to the side length L = 3m of the square unit grid in the grouting reinforcement area, the specific form of the non-Darcy flow grouting fullness index A(T) of the deteriorated base of the in-service highway can be determined as shown in the following formula:

[0076]

[0077] The grouting fullness is evaluated according to the non-Darcy flow grouting fullness grade of the deteriorated base of the in-service highway shown in Table 1. Figure 3 As shown in the figure, it can be seen that each grouting fullness stage corresponds to a time interval. In other words, it is possible to evaluate the stage of grouting fullness during the non-Darcy flow grouting of the deteriorated base of the in-service highway. For example, when the grouting time T is 80s, it can be seen that it is in the medium fullness stage.

[0078] (5) Manual intervention: The evaluation unit of the embodiment determines the fullness level of the non-Darcy flow grouting of the deteriorated base of the in-service highway, and then performs manual intervention with reference to Table 1 until the grouting is completely full.

[0079] Table 1 Classification data of fullness of non-Darcy flow grouting in deteriorated base of in-service highway

[0080] Fullness Grouting fullness index A(T) Manual intervention Slightly full 0-25％ Normal speed grouting Mild fullness 25％-50％ Normal speed grouting Medium full 50％-75％ Slow grouting Heavy fullness 75％-100％ Slow grouting Completely full 100％ Stop grouting

[0081] Improve the accuracy and efficiency of the evaluation of the grouting fullness of the deteriorated base of in-service highways. This method is based on the non-Darcy flow diffusion model of the grouting liquid of the deteriorated base of the road. The grouting liquid diffusion radius is determined by obtaining the grouting related parameters and the related parameters of the deteriorated base of the in-service highway in advance, and the non-Darcy flow grouting fullness of the deteriorated base of the in-service highway is divided by the grouting liquid diffusion radius. This method can dynamically update the grouting liquid diffusion radius according to the grouting time, so as to achieve dynamic evaluation of the non-Darcy flow grouting fullness of the deteriorated base of the in-service highway. The system is composed of a data acquisition unit, a data processing unit and an evaluation unit. It can monitor the grouting liquid diffusion radius in real time, and quickly evaluate the non-Darcy flow grouting fullness of the deteriorated base of the in-service highway through data processing and analysis.

[0082] The above is only a preferred embodiment of the present invention. It should be pointed out that for ordinary technicians in this technical field, several improvements and modifications can be made without departing from the principle of the present invention. These improvements and modifications should also be regarded as the scope of protection of the present invention.

Claims

1. A method for evaluating the fullness of non-Darcy flow grouting of deteriorated base layers of in-service highways, characterized by: A non-Darcy flow grouting diffusion model suitable for deteriorated base layers of in-service highways is established. The grouting liquid diffusion radius is determined by obtaining grouting-related parameters and related parameters of the deteriorated base layers of in-service highways in advance. The grouting liquid diffusion radius is dynamically updated according to the grouting time, thereby achieving a dynamic evaluation of the fullness of the non-Darcy flow grouting of the deteriorated base layers of in-service highways.

2. The method for evaluating the fullness of non-Darcy flow grouting of deteriorated base of an in-service highway according to claim 1 is characterized in that: The non-Darcy flow grouting diffusion model for deteriorated base of in-service highway is established. The input parameters of the non-Darcy flow grouting diffusion model for deteriorated base of in-service highway include the grouting pipe radius r0, the grouting pressure p g , slurry density ρ g , dynamic viscosity of the slurry μ g , the compressibility coefficient c of the slurry g , base grouting depth H, base permeability β, base porosity Compression coefficient of base layer c s , the initial water pressure of the base layer p0, the base layer empirical coefficient m related to seepage and the grouting diffusion radius R(t) related to the grouting time t.

3. The method for evaluating the fullness of non-Darcy flow grouting of deteriorated base of an in-service highway according to claim 1 is characterized in that: The specific process of establishing a non-Darcy flow grouting diffusion model suitable for deteriorated base of in-service highways is as follows: The governing equations of the non-Darcy flow grouting diffusion model for deteriorated base of in-service highways are as follows: where c t =c s +c g ; At the initial time of grouting, i.e., time t = 0, p(r, t) obeys the following initial conditions: p(r,0)=p0 (2) The slurry is injected into the road base from the grouting pipe. During the grouting process, the grouting pressure remains constant. For the radius of the grouting pipe, that is, r = r0, p(r, t) obeys the following boundary conditions: p(r=r0,t)=p g (3) During the slurry transmission process in the base layer, the grouting pressure at the front edge of the slurry has the following specific relationship: p(r=R(t),t)=p0 (4) The above equations (1) to (5) together constitute the mathematical model of the non-Darcy flow grouting diffusion model for deteriorated base of in-service highways.

4. The method for evaluating the fullness of non-Darcy flow grouting of deteriorated base of an in-service highway according to claim 3 is characterized in that: By solving the above equations (1) to (5), the non-Darcy flow grouting diffusion model for deteriorated base of in-service highway can be obtained; Construct a new function as follows Substituting equation (6) into the mathematical model of the non-Darcy flow grouting diffusion model for deteriorated base of in-service highways, namely equations (1) to (5), the following five equations can be obtained: p(η=0)=p0 (8) p(η=η0)=p g (9) p(η=η R )=p0 (10) in and Set dp / dη=P and reduce the order of equation (7) to the following: The above equation is a Bernoulli form equation, and its general solution is: Substituting the above formula (11) into formula (13), we can determine that c in formula (13) is: Therefore, we rewrite equation (13) as follows: Further processing the above formula (15), rewrite it as follows: in, The corresponding rewrites of equations (9) to (10) are as follows: Integrating equation (16) and combining it with equation (18) yields the following equation: Substituting formula (17) into formula (19) we can further obtain: Rearranging equation (20), we get η R The values ​​are: By combining equation (6) and equation (21), the grouting liquid diffusion radius R(t) of the non-Darcy flow grouting diffusion model for deteriorated base of in-service highway is derived as: Let t in formula (22) be equal to the set grouting time T, and the diffusion radius R(T) of the non-Darcy flow grouting liquid for the deteriorated base of the in-service highway can be obtained, as shown in the following formula.

5. The method for evaluating the fullness of non-Darcy flow grouting of deteriorated base of an in-service highway according to claim 4 is characterized in that The specific process of determining the diffusion radius of the grouting liquid by obtaining the grouting related parameters and the related parameters of the deteriorated base of the in-service highway in advance is as follows: By collecting the grouting pipe radius r0 and grouting pressure p g , slurry density ρ g , dynamic viscosity of slurry μ g , the compressibility coefficient c of the slurry g , base grouting depth H, base permeability β, base porosity Compression coefficient of base layer c s , the initial water pressure of the base layer p0, and the empirical coefficient of the base layer related to seepage m are simultaneously brought into formula (23), and the R(T) value can be solved.

6. The method for evaluating the fullness of non-Darcy flow grouting of deteriorated base of an in-service highway according to claim 5 is characterized in that: The specific process of dynamically updating the diffusion radius of the grouting liquid through the grouting time to dynamically evaluate the fullness of the non-Darcy flow grouting of the deteriorated base of the in-service highway is as follows: The unit grid of the grouting reinforcement area is set as a square with a side length of L, and the non-Darcy flow grouting fullness index A(T) of the deteriorated base of the in-service highway is defined as follows: The non-Darcy flow grouting fullness index A(T) of the deteriorated base of in-service highways is calculated to divide the evaluation grades of the non-Darcy flow grouting fullness of the deteriorated base of in-service highways.

7. The system for evaluating the fullness of non-Darcy flow grouting of deteriorated base of in-service highway according to claim 1 is characterized in that: It includes a data acquisition unit, a data processing unit and an evaluation unit, wherein the data acquisition unit is connected to the evaluation unit via the data processing unit; The data acquisition unit is used to collect the grouting pipe radius r0, grouting pressure p g , slurry density ρ g , dynamic viscosity of slurry μ g , the compressibility coefficient c of the slurry g , base grouting depth H, base permeability β, base porosity Compression coefficient of base layer c s , initial water pressure of the base p0, empirical coefficient of the base related to seepage m, the data processing unit is composed of the analytical solution of the non-Darcy flow grouting diffusion model of the deteriorated base of the in-service highway. By importing the data in the data acquisition unit into the data processing unit, the development of the diffusion radius R(T) of the non-Darcy flow grouting liquid of the deteriorated base of the in-service highway with the grouting time T can be obtained. The evaluation unit consists of a square unit grid with a side length of L in the grouting reinforcement area, including the non-Darcy flow grouting fullness index A(T) of the deteriorated base of the in-service highway and the non-Darcy flow grouting fullness grading method of the deteriorated base of the in-service highway. The non-Darcy flow grouting fullness index A(T) of the deteriorated base of the in-service highway is determined by the grouting liquid diffusion radius R(T) and the square unit grid with a side length of L. Then, the non-Darcy flow grouting fullness grading method of the deteriorated base of the in-service highway is used to divide the non-Darcy flow grouting fullness grade of the deteriorated base of the in-service highway.

8. The system for evaluating the fullness of non-Darcy flow grouting of deteriorated base of in-service highway according to claim 7 is characterized in that: The grouting time T in the data processing unit is updated in real time as needed. The updated data can cause the grouting liquid diffusion radius R(T) to change, thereby achieving a dynamic evaluation of the fullness of the non-Darcy flow grouting of the deteriorated base of the in-service highway.

Images