Method for detecting internal disease burial depth of pavement of airfield pavement by considering heterogeneous error

Abstract

The invention relates to an airfield pavement base pavement internal disease burial depth detection method considering heterogeneous errors. The method comprises the following steps: selecting a test section of the airfield pavement, drilling a core sample, testing the core sample, determining dielectric constants of all layers of the airfield pavement, obtaining probability distribution characteristics of all the layers of the core sample, performing ground penetrating radar scanning on a to-be-tested area of the airfield pavement, and obtaining a probability distribution characteristic of all the layers of the core sample; the method comprises the following steps: acquiring double-pass travel time of electromagnetic waves emitted by a ground penetrating radar between the top of a pavement surface layer and the top of an internal disease in a to-be-detected area, double-pass travel time between the top of the pavement surface layer and the bottom of the pavement surface layer, and double-pass travel time between the top of the pavement surface layer and the bottom of a pavement base layer; and determining an expected value of the disease burial depth in each layer of the to-be-detected area of the airport pavement and the probability interval of the heterogeneous error of the disease burial depth expected value of the to-be-detected area in each percentile, and further determining a final result of the internal disease burial depth of the to-be-detected area. Therefore, a disease burial depth detection result can be represented more accurately.

Description

Technical Field

[0001] The present application relates to the field of airport engineering technology, and in particular to a method for detecting the buried depth of internal defects of airport roadbeds and pavements taking into account heterogeneous errors. Background Art

[0002] Ground penetrating radar is a commonly used device for detecting internal defects of airport roadbeds and pavements. It emits electromagnetic waves into the roadbed and pavement, tests the travel time of the electromagnetic waves between the top of the pavement and the top of the defect, and calculates the buried depth of the defect, that is, the vertical distance between the top of the defect and the top of the pavement. In the buried depth calculation, the dielectric constant of the structural layer material is the key parameter for calculating the electromagnetic wave velocity.

[0003] At present, when using ground penetrating radar to detect internal defects of airport roadbeds and pavements, the fluctuation of dielectric constant caused by the heterogeneity of materials in each layer is ignored, that is, the fluctuation of dielectric constant of each layer of materials above and below the average value obtained by coring is ignored, so the influence of material heterogeneity on electromagnetic wave velocity cannot be reflected. At present, there is no method to measure the influence of this volatility on the detection results of buried depth of internal defects of airport roadbeds and pavements, resulting in low accuracy of buried depth detection results. Summary of the invention

[0004] Based on this, it is necessary to provide a method for detecting the buried depth of internal defects of airport roadbed and pavement taking into account heterogeneous errors, which can improve the accuracy of the detection results of the buried depth of defects and address the above technical problems.

[0005] A method for detecting the buried depth of internal defects of an airport roadbed and pavement taking into account heterogeneous errors, the method comprising:

[0006] S1: Drilling core samples from a test section of the airport pavement, testing the core samples, determining the dielectric constants of various layers of the airport pavement, and obtaining the probability distribution characteristics of various layers of the core samples, wherein the airport pavement consists of three layers: pavement surface layer, pavement base layer, and road subgrade;

[0007] S2: Perform ground penetrating radar scanning on the area to be tested on the airport pavement, and obtain the two-way travel time of the electromagnetic wave emitted by the ground penetrating radar between the top of the pavement surface layer and the top of the internal disease in the area to be tested, recorded as t di (i = s, b, g), where s, b, and g represent the pavement surface layer, the pavement base layer, and the road base, respectively, and the two-way travel time of the electromagnetic wave between the top and bottom of the pavement surface layer in the measured area, denoted as t s The two-way travel time of the electromagnetic wave between the top of the road surface layer and the bottom of the road surface base layer in the measured area is measured and recorded as t b ;

[0008] S3: Analyze the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the top of the internal defect in the area to be tested, the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement surface layer in the area to be tested, and the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement base layer in the area to be tested to determine the expected value of the buried depth of the defects in each layer of the airport pavement in the area to be tested;

[0009] S4: determining the probability interval of the heterogeneous error of the expected value of the disease burial depth in the test area at each percentile according to the probability distribution characteristics of each layer of the core sample;

[0010] S5: Determine the final result of the internal disease burial depth of the area to be tested according to the expected value of the disease burial depth inside each layer of the area to be tested and the probability interval of the heterogeneous error of the expected value of the disease burial depth at each percentile.

[0011] In one embodiment, the S1 includes:

[0012] S1.1: Drill core samples from the test section of the airport pavement. The core samples include the surface layer, base layer and roadbed of the airport pavement. Use a dielectric constant tester to test the dielectric constant of each core sample. The number of core samples drilled in each layer shall not be less than 8;

[0013] S1.2: Use the skewness-kurtosis test method to verify whether the dielectric constants of different core samples taken from each layer meet the normal distribution. If the dielectric constants of different core samples taken from each layer do not meet the normal distribution, return to S1.1 to increase the number of drilled core samples and continue to test the dielectric constants of each core sample until the dielectric constants of different core samples taken from each layer meet the normal distribution.

[0014] S1.3: If the dielectric constants of different core samples taken from each layer satisfy the normal distribution, then the normal distribution curve N(ε i , σ i 2 ), where the mean is denoted by ε i (i=s,b,g), the variance is denoted as σ i (i=s, b, g), the three subscripts s, b, and g represent the pavement surface layer, pavement base layer, and road base, respectively.

[0015] In one embodiment, the expected value of the depth of the damage inside each layer of the to-be-tested area of ​​the airport pavement is:

[0016]

[0017] Among them, H ds , H db and H dgThey refer to the expected values ​​of the depth of the defects in the pavement surface layer, pavement base layer and roadbed, respectively; c is the electromagnetic wave speed in vacuum, and ε s is the mean value of the road surface layer, ε b is the mean value of the road surface base, ε g is the mean value of the road base.

[0018] In one embodiment, the S4 includes:

[0019] According to the probability distribution characteristics of each layer of the core sample, the upper and lower limits of the probability interval of the heterogeneous error of the expected value of the disease burial depth of each layer in the test area at the 68% quantile are analyzed as follows:

[0020]

[0021] in, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface layer disease in the tested area is at the 68% percentile, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface base disease in the measured area is at the 68% percentile, are the upper and lower limits of the probability interval of the expected value of the buried depth of the roadbed disease in the measured area at the 68% percentile, H ds ′、H db ′、H dg ′ are the actual values ​​of the buried depth of internal defects in the road surface layer, road base layer and road foundation of the area to be tested; H s ′ and H b ′ are the actual values ​​of the thickness of the pavement surface layer and the pavement base layer respectively;

[0022] According to the probability distribution characteristics of each layer of the core sample, the upper and lower limits of the probability interval of the heterogeneous error of the expected value of the disease burial depth of each layer in the test area at the 95% percentile are analyzed as follows:

[0023]

[0024] in, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface layer disease in the tested area is at the 95% percentile, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface base disease in the measured area is at the 95% percentile, are respectively the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the roadbed disease in the area to be measured is at the 95% percentile;

[0025] According to the probability distribution characteristics of each layer of the core sample, the upper and lower limits of the probability interval of the heterogeneous error of the expected value of the disease burial depth of each layer in the test area at the 99.7% quantile are analyzed as follows:

[0026]

[0027] in, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface layer disease in the tested area is at the 99.7% percentile, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface base disease in the measured area is at the 99.7% percentile, They are respectively the upper and lower limits of the probability interval in which the heterogeneous error of the expected value of the buried depth of the roadbed disease in the area to be measured is at the 99.7% percentile.

[0028] In one embodiment, the final result of the internal disease depth of the tested area is: the disease depth of each layer in the tested area has a probability of 68% distributed in Within the interval, the depth of the disease in each layer of the test area has a 95% probability of being distributed in Within the interval, the depth of the disease in each layer of the test area has a probability of 99.7% distributed in In the interval, i=s,b,g, s, b, g represent the pavement surface layer, pavement base layer, and road subgrade respectively.

[0029] The above-mentioned method for detecting the buried depth of internal defects of the airport roadbed and pavement taking into account the heterogeneous error selects a test section of the airport roadbed to drill core samples, tests the core samples, determines the dielectric constant of each layer of the airport roadbed, and obtains the probability distribution characteristics of each layer of the core samples, performs a ground penetrating radar scan on the area to be tested of the airport roadbed, obtains the two-way travel time of the electromagnetic wave emitted by the ground penetrating radar between the top of the pavement surface layer and the top of the internal defect in the area to be tested, and measures the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement surface layer in the area to be tested, and measures the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement base layer in the area to be tested, and obtains the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement base layer in the area to be tested according to the electromagnetic wave in the area to be tested. The two-way travel time between the top of the pavement surface layer and the top of the internal disease, the two-way travel time between the top of the pavement surface layer and the bottom of the pavement surface layer in the test area, and the two-way travel time between the top of the pavement surface layer and the bottom of the pavement base layer in the test area are analyzed to determine the expected value of the disease burial depth inside each layer of the test area of ​​the airport pavement. According to the probability distribution characteristics of each layer of the core sample, the probability interval of the heterogeneous error of the expected value of the disease burial depth in each percentile is determined. According to the expected value of the disease burial depth inside each layer of the test area and the probability interval of the heterogeneous error of the expected value of the disease burial depth in each percentile, the final result of the internal disease burial depth in the test area is determined. Therefore, based on the heterogeneous error test and calculation of the probability interval, the error corresponding to each probability interval is marked in the final result of the disease burial depth, so that the disease burial depth detection result is closer to the actual situation, thereby more accurately representing the disease burial depth detection result. BRIEF DESCRIPTION OF THE DRAWINGS

[0030] Figure 1 The figure is a flow chart of a method for detecting the buried depth of internal defects of an airport roadbed and pavement taking into account heterogeneous errors in one embodiment. DETAILED DESCRIPTION

[0031] In order to make the purpose, technical solution and advantages of the present application more clearly understood, the present application is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application and are not used to limit the present application.

[0032] In one embodiment, Figure 1 As shown, a method for detecting the buried depth of internal defects of an airport roadbed and pavement taking into account heterogeneous errors is provided, comprising the following steps:

[0033] Step S1: Select a test section of the airport pavement to drill a core sample, test the core sample, determine the dielectric constant of each layer of the airport pavement, and obtain the probability distribution characteristics of each layer of the core sample, wherein the airport pavement consists of three layers: pavement surface layer, pavement base layer, and road subgrade.

[0034] The road surface layer is an asphalt mixture layer or a cement concrete layer.

[0035] Among them, the road surface base layer is one of an asphalt mixture layer, a cement concrete layer or an inorganic binder stabilized gravel layer.

[0036] Step S2: Perform a ground penetrating radar scan on the airport pavement to obtain the two-way travel time of the electromagnetic wave emitted by the ground penetrating radar between the top of the pavement surface layer and the top of the internal disease in the test area, recorded as t di (i = s, b, g), where s, b, and g represent the pavement surface layer, the pavement base layer, the road base, and the two-way travel time of the electromagnetic wave between the top and bottom of the pavement surface layer in the measured area, respectively, denoted as t s , the two-way travel time of the electromagnetic wave between the top of the road surface layer and the bottom of the road surface base layer in the measured area is measured, denoted as t b .

[0037] Step S3: Analyze the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the top of the internal defect in the area to be tested, the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement surface layer in the area to be tested, and the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement base layer in the area to be tested to determine the expected value of the buried depth of the defects inside each layer of the airport pavement in the area to be tested.

[0038] Step S4: According to the probability distribution characteristics of each layer of the core sample, the probability interval of the heterogeneous error of the expected value of the disease burial depth in the area to be tested at each percentile is determined.

[0039] Step S5: Determine the final result of the internal disease burial depth of the area to be tested according to the expected value of the disease burial depth inside each layer of the area to be tested and the probability interval of the heterogeneous error of the expected value of the disease burial depth at each percentile.

[0040] In one embodiment, step S1 includes:

[0041] S1.1: Drill core samples from the test section of the airport pavement. The core samples include the surface layer, base layer and roadbed of the airport pavement. Use a dielectric constant tester to test the dielectric constant of each core sample. The number of cores drilled in each layer shall not be less than 8;

[0042] S1.2: Use the skewness-kurtosis test method to verify whether the dielectric constants of different core samples taken from each layer meet the normal distribution. If the dielectric constants of different core samples taken from each layer do not meet the normal distribution, return to S1.1 to increase the number of drilled core samples and continue to test the dielectric constants of each core sample until the dielectric constants of different core samples taken from each layer meet the normal distribution.

[0043] S1.3: If the dielectric constants of different core samples taken from each layer satisfy the normal distribution, then the normal distribution curve N(ε i , σ i2 ), where the mean is denoted by ε i (i=s,b,g), the variance is denoted as σ i (i=s, b, g), the three subscripts s, b, and g represent the pavement surface layer, pavement base layer, and road base, respectively.

[0044] In one embodiment, the expected value of the depth of the damage inside each layer of the to-be-tested area of ​​the airport pavement is:

[0045]

[0046] Among them, H ds , H db and H dg They refer to the expected values ​​of the depth of the defects in the pavement surface layer, pavement base layer and roadbed, respectively; c is the electromagnetic wave speed in vacuum, and ε s is the mean value of the road surface layer, ε b is the mean value of the road surface base, ε g is the mean value of the road base.

[0047] Among them, the expected value of the buried depth of the disease inside the pavement surface layer, pavement base layer and roadbed is the expected value of the vertical distance between the top of the disease and the top of the pavement surface layer.

[0048] In one embodiment, step S4 includes:

[0049] According to the probability distribution characteristics of each layer of the core sample, the upper and lower limits of the probability interval of the heterogeneous error of the expected value of the disease burial depth of each layer in the measured area is at the 68% quantile:

[0050]

[0051] in, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface layer disease in the tested area is at the 68% percentile, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface base disease in the tested area is at the 68% percentile, are the upper and lower limits of the probability interval of the expected value of the buried depth of roadbed diseases in the tested area at the 68% percentile, H ds ′、H db ′、H dg ′ are the actual values ​​of the buried depth of internal diseases in the pavement surface layer, pavement base layer and roadbed in the area to be tested; H s ′ and H b ′ are the actual values ​​of the thickness of the pavement surface layer and the pavement base layer respectively;

[0052] According to the probability distribution characteristics of each layer of the core sample, the upper and lower limits of the probability interval of the heterogeneous error of the expected value of the disease burial depth of each layer in the measured area are at the 95% percentile:

[0053]

[0054] in, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface layer disease in the tested area is at the 95% percentile, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface base disease in the tested area is at the 95% percentile, They are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of roadbed disease in the area to be tested is at the 95% percentile;

[0055] According to the probability distribution characteristics of each layer of the core sample, the upper and lower limits of the probability interval of the heterogeneous error of the expected value of the disease burial depth of each layer in the measured area is at the 99.7% quantile:

[0056]

[0057] in, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface layer disease in the tested area is at the 99.7% percentile, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface base disease in the tested area is at the 99.7% percentile, They are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of roadbed diseases in the measured area is at the 99.7% percentile.

[0058] Among them, the actual values ​​of the thickness of the pavement surface layer and the pavement base layer can be obtained by measuring the core samples.

[0059] It should be understood that there is an error between the expected value of the disease burial depth inside each layer of the test area obtained by using ground penetrating radar scanning to detect the test area and the actual disease burial depth inside each layer of the test area. Therefore, the inhomogeneous error of the expected value of the disease burial depth is calculated to make the test result closer to the actual value. Different degrees of disease burial depth will lead to different inhomogeneous errors in the expected value of the disease burial depth inside each layer of the test area. Therefore, the actual value H of the internal disease burial depth in the pavement surface layer, pavement base layer and roadbed of the test area is added to the expression of the upper and lower limits of each probability interval. ds ′、H db ′ and H dg ′ is used to characterize the relationship between the actual value of the disease burial depth of different degrees and the heterogeneous error. ds ′、H db ′ and Hdg ′ is an actual value that exists in theory. When calculating the probability interval of the heterogeneous error of the expected value of the disease buried depth in the area to be tested at each percentile, the expected value of the disease buried depth inside each layer of the airport pavement in the area to be tested can be used as the actual value of the internal disease buried depth in the pavement surface layer, pavement base layer and roadbed of the area to be tested to participate in the calculation, and the probability interval of the heterogeneous error of the expected value of the disease buried depth in the area to be tested at each percentile can be obtained.

[0060] Among them, the heterogeneous error of the expected value of the disease burial depth is within the upper and lower limits of the probability interval of the 68% quantile, that is, the probability that the actual error of the expected value of the disease burial depth is within this upper and lower limits is 68%.

[0061] The heterogeneous error of the expected value of the disease burial depth is within the upper and lower limits of the probability interval of the 95% percentile, that is, the probability that the actual error of the expected value of the disease burial depth is within the range of the upper and lower limits is 95%.

[0062] Among them, the heterogeneous error of the expected value of the disease burial depth is within the upper and lower limits of the probability interval of the 99.7% quantile, that is, the probability that the actual error of the expected value of the disease burial depth is within this upper and lower limits is 99.7%.

[0063] In one embodiment, the final result of the internal disease depth of the tested area is: the disease depth of each layer in the tested area has a probability of 68% distributed in Within the interval, the depth of the disease in each layer of the tested area has a 95% probability of being distributed in Within the interval, the depth of the disease in each layer of the tested area has a probability of 99.7% distributed in In the interval, i=s,b,g, s, b, g represent the pavement surface layer, pavement base layer, and road subgrade respectively.

[0064] Among them, the final result of the internal disease depth of the tested area can be recorded in the following form s, b, and g represent the pavement surface layer, pavement base layer, and road foundation, respectively. This indicates that when the error of heterogeneous layered materials is considered, the burial depth of internal diseases has a probability of 68% distributed in Within the range of , there is a 95% probability that the depth of internal disease is distributed in In the range of , the burial depth of internal diseases has a 99.7% probability of being distributed in within the range.

[0065] The above-mentioned method for detecting the buried depth of internal defects of the airport roadbed and pavement taking into account the heterogeneous error selects a test section of the airport roadbed to drill core samples, tests the core samples, determines the dielectric constant of each layer of the airport roadbed, and obtains the probability distribution characteristics of each layer of the core samples, performs a ground penetrating radar scan on the area to be tested of the airport roadbed, obtains the two-way travel time of the electromagnetic wave emitted by the ground penetrating radar between the top of the pavement surface layer and the top of the internal defect in the area to be tested, and measures the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement surface layer in the area to be tested, and measures the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement base layer in the area to be tested, and obtains the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement base layer in the area to be tested according to the electromagnetic wave in the area to be tested. The two-way travel time between the top of the pavement surface layer and the top of the internal disease, the two-way travel time between the top of the pavement surface layer and the bottom of the pavement surface layer in the test area, and the two-way travel time between the top of the pavement surface layer and the bottom of the pavement base layer in the test area are analyzed to determine the expected value of the disease burial depth inside each layer of the test area of ​​the airport pavement. According to the probability distribution characteristics of each layer of the core sample, the probability interval of the heterogeneous error of the expected value of the disease burial depth in each percentile is determined. According to the expected value of the disease burial depth inside each layer of the test area and the probability interval of the heterogeneous error of the expected value of the disease burial depth in each percentile, the final result of the internal disease burial depth in the test area is determined. Therefore, based on the heterogeneous error test and calculation of the probability interval, the error corresponding to each probability interval is marked in the final result of the disease burial depth, so that the disease burial depth detection result is closer to the actual situation, thereby more accurately representing the disease burial depth detection result.

[0066] The following is an example of testing the buried depth of internal defects in the surface layer of a certain airport pavement using a method for detecting the buried depth of internal defects in an airport pavement taking into account heterogeneous errors provided by the present application:

[0067] Example 1: The above method is used to test the buried depth of internal defects in the pavement surface of an airport. Through core sampling test at 12 of the pavement surface layer, the dielectric constant of the pavement surface layer is measured to meet the normal distribution N (3.19, 0.11 2 ). The road surface was tested by ground penetrating radar, and further calculations showed that the buried depth of the internal disease at a certain point in the road surface layer was 15.24 cm, and Therefore, the final expression of the internal disease depth is recorded as It shows that when considering the error of heterogeneous pavement surface materials, the burial depth of internal defects has a 68% probability of being distributed in the interval of [15.03, 15.45] cm, the burial depth of internal defects has a 95% probability of being distributed in the interval of [14.86, 15.67] cm, and the burial depth of internal defects has a 99.7% probability of being distributed in the interval of [14.67, 15.88] cm.

[0068] Example 2: The above method is used to test the buried depth of internal defects in the pavement base of a certain airport pavement. Through core sampling tests at 13 locations on the pavement surface layer and 9 locations on the pavement base layer, it is found that the dielectric constant of the pavement surface layer satisfies the normal distribution N(3.25, 0.12 2 ), the dielectric constant of the road surface base satisfies the normal distribution N(4.26,0.17 2 ). The pavement was inspected by ground penetrating radar, and further calculations showed that the buried depth of the internal disease at a certain point in the pavement base was 45.33 cm, and Therefore, the final expression of the internal disease depth is recorded as It shows that when considering the error of heterogeneous pavement surface materials, the burial depth of internal defects has a 68% probability of being distributed in the interval of [44.67, 45.95] cm, the burial depth of internal defects has a 95% probability of being distributed in the interval of [44.02, 46.72] cm, and the burial depth of internal defects has a 99.7% probability of being distributed in the interval of [43.47, 47.35] cm.

[0069] Example 3: The above method is used to test the buried depth of internal defects in the pavement base of an airport. Through core sampling tests at 11 locations on the pavement surface layer, 10 locations on the pavement base layer, and 8 locations on the roadbed, the dielectric constant of the pavement surface layer is found to satisfy the normal distribution N(3.18, 0.13 2 ), the dielectric constant of the road surface base satisfies the normal distribution N(4.34,0.18 2 ), the dielectric constant of the road base satisfies the normal distribution N(5.65,0.33 2 ). The road surface was tested by ground penetrating radar, and further calculations showed that the buried depth of the internal disease at a certain point in the roadbed was 85.96 cm, and Therefore, the final expression of the internal disease depth is recorded as It shows that when considering the error of heterogeneous pavement surface materials, the burial depth of internal defects has a 68% probability of being distributed in the interval of [80.93, 91.11] cm, the burial depth of internal defects has a 95% probability of being distributed in the interval of [82.30, 89.74] cm, and the burial depth of internal defects has a 99.7% probability of being distributed in the interval of [84.36, 87.63] cm.

[0070] In summary, for the ground penetrating radar detection scenario, this application quantifies the impact of the dielectric constant heterogeneity characteristics of the layered materials of the airport roadbed and pavement on the calculation results of the internal disease burial depth test, proposes a heterogeneous error test and calculation method based on probability intervals, and directly marks the errors corresponding to each probability interval in the expected value obtained by the final burial depth calculation. Therefore, the conclusions obtained by the method of this application are closer to the actual situation.

[0071] It should be understood that although Figure 1 The steps in the flowchart are shown in sequence as indicated by the arrows, but these steps are not necessarily executed in the order indicated by the arrows. Unless otherwise specified in this document, there is no strict order restriction for the execution of these steps, and these steps can be executed in other orders. Moreover, Figure 1 At least part of the steps may include multiple sub-steps or multiple stages. These sub-steps or stages are not necessarily executed at the same time, but can be executed at different times. The execution order of these sub-steps or stages is not necessarily sequential, but can be executed in turn or alternately with other steps or at least part of the sub-steps or stages of other steps.

[0072] The technical features of the above embodiments may be combined arbitrarily. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0073] The above-mentioned embodiments only express several implementation methods of the present application, and the descriptions thereof are relatively specific and detailed, but they cannot be understood as limiting the scope of the invention patent. It should be pointed out that, for a person of ordinary skill in the art, several variations and improvements can be made without departing from the concept of the present application, and these all belong to the protection scope of the present application. Therefore, the protection scope of the patent of the present application shall be subject to the attached claims.

Claims

1. A method for detecting the buried depth of internal defects of airport roadbed and pavement considering heterogeneous errors, characterized in that: The method comprises: S1: Drilling core samples from a test section of the airport pavement, testing the core samples, determining the dielectric constants of various layers of the airport pavement, and obtaining the probability distribution characteristics of various layers of the core samples, wherein the airport pavement consists of three layers: pavement surface layer, pavement base layer, and road subgrade; S2: Perform ground penetrating radar scanning on the area to be tested on the airport pavement, and obtain the two-way travel time of the electromagnetic wave emitted by the ground penetrating radar between the top of the pavement surface layer and the top of the internal disease in the area to be tested, recorded as t di (i=s,b,g), where s, b, and g represent the pavement surface layer, the pavement base layer, and the road base, respectively, and the two-way travel time of the electromagnetic wave between the top and bottom of the pavement surface layer in the measured area, denoted as t s The two-way travel time of the electromagnetic wave between the top of the road surface layer and the bottom of the road surface base layer in the measured area is measured and recorded as t b ; S3: Analyze the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the top of the internal defect in the area to be tested, the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement surface layer in the area to be tested, and the two-way travel time of the electromagnetic wave between the top of the pavement surface layer and the bottom of the pavement base layer in the area to be tested to determine the expected value of the buried depth of the defects in each layer of the airport pavement in the area to be tested; S4: determining the probability interval of the heterogeneous error of the expected value of the disease burial depth in the test area at each percentile according to the probability distribution characteristics of each layer of the core sample; S5: Determine the final result of the internal disease burial depth of the area to be tested according to the expected value of the disease burial depth inside each layer of the area to be tested and the probability interval of the heterogeneous error of the expected value of the disease burial depth at each percentile.

2. The method according to claim 1, characterized in that The S1 includes: S1.1: Drill core samples from the test section of the airport pavement. The core samples include the surface layer, base layer and roadbed of the airport pavement. Use a dielectric constant tester to test the dielectric constant of each core sample. The number of core samples drilled in each layer shall not be less than 8; S1.2: Use the skewness-kurtosis test method to verify whether the dielectric constants of different core samples taken from each layer meet the normal distribution. If the dielectric constants of different core samples taken from each layer do not meet the normal distribution, return to S1.1 to increase the number of drilled core samples and continue to test the dielectric constants of each core sample until the dielectric constants of different core samples taken from each layer meet the normal distribution. S1.3: If the dielectric constants of different core samples taken from each layer satisfy the normal distribution, then the normal distribution curve N(ε i ,σ i 2 ), where the mean is denoted by ε i (i=s,b,g), the variance is denoted as σ i (i=s,b,g), the three subscripts s, b, and g represent the pavement surface layer, pavement base layer, and road subgrade respectively.

3. The method according to claim 2, characterized in that The expected value of the disease depth inside each layer of the tested area of ​​the airport pavement is: Among them, H ds , H db and H dg They refer to the expected values ​​of the depth of the defects in the pavement surface layer, pavement base layer and roadbed, respectively; c is the electromagnetic wave speed in vacuum, and ε s is the mean value of the road surface layer, ε b is the mean value of the road surface base, ε g is the mean value of the road base.

4. The method according to claim 3, characterized in that The S4 includes: According to the probability distribution characteristics of each layer of the core sample, the upper and lower limits of the probability interval of the heterogeneous error of the expected value of the disease burial depth of each layer in the test area at the 68% quantile are analyzed as follows: in, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface layer disease in the tested area is at the 68% percentile, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface base disease in the measured area is at the 68% percentile, are the upper and lower limits of the probability interval of the expected value of the buried depth of the roadbed disease in the measured area at the 68% percentile, H ds ′、H db ′、H dg ′ are the actual values ​​of the buried depth of internal defects in the road surface layer, road base layer and road foundation of the area to be tested; H s ′ and H b ′ are the actual values ​​of the thickness of the pavement surface layer and the pavement base layer respectively; According to the probability distribution characteristics of each layer of the core sample, the upper and lower limits of the probability interval of the heterogeneous error of the expected value of the disease burial depth of each layer in the test area at the 95% percentile are analyzed as follows: in, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface layer disease in the tested area is at the 95% percentile, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface base disease in the measured area is at the 95% percentile, are respectively the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the roadbed disease in the area to be measured is at the 95% percentile; According to the probability distribution characteristics of each layer of the core sample, the upper and lower limits of the probability interval of the heterogeneous error of the expected value of the disease burial depth of each layer in the test area at the 99.7% quantile are analyzed as follows: in, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface layer disease in the tested area is at the 99.7% percentile, are the upper and lower limits of the probability interval where the heterogeneous error of the expected value of the buried depth of the road surface base disease in the measured area is at the 99.7% percentile, They are respectively the upper and lower limits of the probability interval in which the heterogeneous error of the expected value of the buried depth of the roadbed disease in the area to be measured is at the 99.7% percentile.

5. The method according to claim 4, characterized in that The final result of the internal disease depth of the tested area is: the disease depth of each layer in the tested area has a probability of 68% distributed in Within the interval, the depth of the disease in each layer of the test area has a 95% probability of being distributed in Within the interval, the depth of the disease in each layer of the test area has a probability of 99.7% distributed in In the interval, i=s,b,g, s, b, g represent the pavement surface layer, pavement base layer, and road subgrade respectively.

Images