A method for detecting the buried depth of internal defects in airport roadbed and pavement considering heterogeneous errors

Abstract

The present application relates to a method for detecting the buried depth of internal defects in airport roadbeds and pavements that takes into account heterogeneous errors. The method includes: selecting a test section of the airport pavement, drilling core samples, testing the core samples, determining the dielectric constants of each layer of the airport pavement, and obtaining the probability distribution characteristics of each layer of the core samples; performing a ground-penetrating radar scan on the area to be tested of the airport pavement; obtaining the two-way travel time of the electromagnetic waves 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, the two-way travel time between the top of the pavement surface layer and the bottom of the pavement surface layer, and the two-way travel time between the top of the pavement surface layer and the bottom of the pavement base layer; determining the expected value of the buried depth of defects in each layer of the area to be tested of the airport pavement; the probability interval of the heterogeneous error of the expected value of the buried depth of defects in the area to be tested at each percentile; and then determining the final result of the buried depth of internal defects in the area to be tested. Thus, the detection result of the buried depth of defects is more accurately characterized.

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 in airport roadbeds and pavements taking into account heterogeneous errors. Background Art

[0002] Ground-penetrating radar (GPR) is a commonly used device for detecting defects within airport roadbeds and pavements. It transmits electromagnetic waves into the roadbed and pavement, measuring the travel time between the top of the pavement and the top of the defect. This allows the depth of the defect to be calculated—the vertical distance between the top of the defect and the pavement. In calculating this depth, the dielectric constant of the structural material is a key parameter for calculating the electromagnetic wave velocity.

[0003] Currently, ground-penetrating radar (GPR) detection of internal defects in airport roadbeds and pavements ignores the fluctuations in dielectric constants caused by the heterogeneity of the materials in each layer. This means that fluctuations in the dielectric constants of each layer around the average value obtained by coring are ignored. Consequently, the effect of material heterogeneity on electromagnetic wave velocity is not reflected. Currently, there is no method to measure the impact of this fluctuation on the depth of defects detected within airport roadbeds and pavements, resulting in low accuracy in 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 in airport roadbed and pavement taking into account heterogeneous errors, the method comprising:

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

[0007] S2: Scan the airport pavement in the area to be tested with a ground penetrating radar 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 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 subgrade, 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 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 test area, 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 test area, 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 test area to determine the expected value of the internal defect depth of each layer of the airport pavement in the test area;

[0009] S4: determining the probability intervals 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 a final result of the internal disease burial depth of the area to be measured based on the expected value of the disease burial depth inside each layer of the area to be measured 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 a test section of the airport pavement. The core samples include core samples of the surface layer, base layer, and roadbed of the airport pavement. Use a dielectric constant meter to test the dielectric constant of each core sample. The number of core samples drilled in each layer should be no less than 8.

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

[0014] S1.3: If the dielectric constants of the 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 as ε i (i=s,b,g), variance is denoted as σ i (i=s, b, g), where s, b, and g represent the pavement surface layer, pavement base layer, and road subgrade, respectively.

[0015] In one embodiment, the expected depth of the defects in each layer of the tested area of ​​the airport pavement is:

[0016]

[0017] Among them, H ds 、H db and H dgThey refer to the expected 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 is at the 68% percentile:

[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 measured 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 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 measured area; 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 measured 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 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 measured area 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 is at the 99.7% percentile:

[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 measured 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 limit and the lower limit of the probability interval in which the heterogeneous error of the expected value of the buried depth of the roadbed disease in the measured area is at the 99.7% percentile.

[0028] In one embodiment, the final result of the internal disease depth of the test area is: the disease depth of each layer in the test 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 99.7% probability of being 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 airport roadbed and pavement taking into account heterogeneous errors is to select a test section of the airport pavement to drill core samples, test the core samples, determine the dielectric constant of each layer of the airport pavement, and obtain the probability distribution characteristics of each layer of the core samples, perform a ground penetrating radar scan on the area to be tested of the airport pavement, obtain the two-way travel time of the electromagnetic wave emitted by the ground penetrating radar between the top of the pavement surface layer in the area to be tested and the top of the internal defect, as well as the two-way travel time of the electromagnetic wave between the top of the pavement surface layer in the area to be tested and the bottom of the pavement surface layer, and measure the two-way travel time of the electromagnetic wave between the top of the pavement surface layer in the area to be tested and the bottom of the pavement base layer. According to the electromagnetic wave in the area to be tested, the two-way travel time of the electromagnetic wave between the top of the pavement surface layer in the area to be tested and the bottom of the pavement base layer The two-way travel time between the top of the pavement surface layer and the top of the internal defect, 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 defect depth within each layer of the airport pavement in the test area. Based on the probability distribution characteristics of each layer of the core sample, the probability intervals of the heterogeneous error of the expected value of the defect depth in the test area are determined at each percentile. Based on the expected value of the defect depth within each layer of the test area and the probability intervals of the heterogeneous error of the expected value of the defect depth at each percentile, the final result of the internal defect depth in the test area is determined. Therefore, based on the heterogeneous error testing and calculation of the probability intervals, the errors corresponding to each probability interval are annotated in the final defect depth result, making the defect depth detection result closer to the actual situation and thus more accurately representing the defect 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 solutions and advantages of this application more clear, the following further describes this application in detail with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain this application and are not intended to limit this application.

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

[0033] Step S1: Select a test section of the airport pavement and drill core samples, test the core samples, determine the dielectric constants of each layer of the airport pavement, and obtain the probability distribution characteristics of each layer of the core samples. The airport pavement consists of three layers: the pavement surface layer, the pavement base layer, and the 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: Scan the area to be tested on the airport pavement with a ground penetrating radar, 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, which is recorded as t di (i = s, b, g), where s, b, and g represent the pavement surface layer, the pavement base layer, and the roadbed, 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 base layer in the measured area is measured and recorded 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 test area, 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 test area, 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 test area to determine the expected value of the buried depth of the defect inside each layer of the test area of ​​the airport pavement.

[0038] Step S4: Determine the probability intervals of the heterogeneous error of the expected value of the disease burial depth in the test area at each percentile based on the probability distribution characteristics of each layer of the core sample.

[0039] Step S5: Determine the final result of the internal disease burial depth of the area to be measured based on the expected value of the disease burial depth of each layer in the area to be measured 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 a test section of the airport pavement. The core samples should include core samples of the surface layer, base layer, and roadbed. Use a dielectric constant meter to test the dielectric constant of each core sample. The number of core samples drilled in each layer should be no less than 8.

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

[0043] S1.3: If the dielectric constants of the 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 as ε i (i=s,b,g), variance is denoted as σ i (i=s, b, g), where s, b, and g represent the pavement surface layer, pavement base layer, and road subgrade, respectively.

[0044] In one embodiment, the expected depth of the defects in each layer of the tested area of ​​the airport pavement is:

[0045]

[0046] Among them, H ds 、H db and H dg They refer to the expected 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, that 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 expected value of the disease burial depth of each layer in the measured area are at the 68% percentile:

[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 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 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 pavement surface layer, pavement base layer and roadbed in the tested area; 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 expected value of the disease burial depth of each layer in the measured area are as follows:

[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, 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 measured area 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 expected value of the disease burial depth of each layer in the measured area are as follows:

[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 sample.

[0059] It should be understood that there is an error between the expected value of the disease depth within each layer of the test area obtained by using ground penetrating radar scanning and the actual disease depth within each layer of the test area. Therefore, the heterogeneous error of the expected value of the disease depth is calculated to make the test result closer to the actual value. Different degrees of disease depth will lead to different heterogeneous errors in the expected value of the disease depth within each layer of the test area. Therefore, the actual value H of the internal disease depth of the road surface layer, road surface base layer and road subgrade in the test area is added to the expressions 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 a theoretically existing actual value. When calculating the probability interval of the heterogeneous error of the expected value of the disease buried depth in the test area at each percentile, the expected value of the disease buried depth inside each layer of the test area of ​​the airport pavement 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 test area to participate in the calculation, and the probability interval of the heterogeneous error of the expected value of the disease buried depth in the test area 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% percentile, 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 95% probability interval, that is, the probability that the actual error of the expected value of the disease burial depth is within the upper and lower limits is 95%.

[0062] 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% percentile, that is, the probability that the actual error of the expected value of the disease burial depth is within the upper and lower limits is 99.7%.

[0063] In one embodiment, the final result of the internal disease depth of the area to be tested is: the disease depth of each layer in the area to be tested 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 99.7% probability of being 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 road surface layer, road base layer, and road foundation, respectively. This shows that when the error of heterogeneity of layered materials is considered, the depth of internal defects has a 68% probability of being distributed in Within the interval, there is a 95% probability that the depth of internal disease is distributed in In the interval, the 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 airport roadbed and pavement taking into account heterogeneous errors is to select a test section of the airport pavement to drill core samples, test the core samples, determine the dielectric constant of each layer of the airport pavement, and obtain the probability distribution characteristics of each layer of the core samples, perform a ground penetrating radar scan on the area to be tested of the airport pavement, obtain the two-way travel time of the electromagnetic wave emitted by the ground penetrating radar between the top of the pavement surface layer in the area to be tested and the top of the internal defect, as well as the two-way travel time of the electromagnetic wave between the top of the pavement surface layer in the area to be tested and the bottom of the pavement surface layer, and measure the two-way travel time of the electromagnetic wave between the top of the pavement surface layer in the area to be tested and the bottom of the pavement base layer. According to the electromagnetic wave in the area to be tested, the two-way travel time of the electromagnetic wave between the top of the pavement surface layer in the area to be tested and the bottom of the pavement base layer The two-way travel time between the top of the pavement surface layer and the top of the internal defect, 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 defect depth within each layer of the airport pavement in the test area. Based on the probability distribution characteristics of each layer of the core sample, the probability intervals of the heterogeneous error of the expected value of the defect depth in the test area are determined at each percentile. Based on the expected value of the defect depth within each layer of the test area and the probability intervals of the heterogeneous error of the expected value of the defect depth at each percentile, the final result of the internal defect depth in the test area is determined. Therefore, based on the heterogeneous error testing and calculation of the probability intervals, the errors corresponding to each probability interval are annotated in the final defect depth result, making the defect depth detection result closer to the actual situation and thus more accurately representing the defect depth detection result.

[0066] The following is an example of testing the depth of internal defects in the pavement surface of an airport using the airport pavement subgrade and pavement internal defect depth detection method provided by this application that takes into account heterogeneous errors:

[0067] Example 1: The above method is used to test the depth of internal defects in the pavement surface of an airport. Through core sampling at 12 points of the pavement surface layer, the dielectric constant of the pavement surface layer is found to meet the normal distribution N (3.19, 0.11 2 ). The road surface was inspected 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 the error of heterogeneity of pavement surface material is taken into account, 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 depth of internal defects in the pavement base of an airport pavement was tested by the above method. The dielectric constant of the pavement surface layer was measured to meet the normal distribution N(3.25, 0.12) by coring at 13 locations on the pavement surface layer and 9 locations on the pavement base layer. 2 ), the dielectric constant of the road surface base satisfies the normal distribution N(4.26,0.17 2 ). The road surface was inspected by ground penetrating radar, and further calculations showed that the buried depth of the internal disease at a certain point in the road surface base was 45.33 cm, and Therefore, the final expression of the internal disease depth is recorded as It shows that when the error of heterogeneity of pavement surface material is taken into account, 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 depth of internal defects in the pavement base of an airport was tested by the above method. The dielectric constant of the pavement surface layer was measured to meet the normal distribution N(3.18, 0.13) by coring 11 points, 10 points, and 8 points of the roadbed. 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 inspected 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 the error of heterogeneity of pavement surface material is taken into account, 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 test calculation results of the internal disease burial depth, proposes a heterogeneous error test and calculation method based on probability intervals, and directly marks the error corresponding to each probability interval in the expected value obtained from 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. In addition, 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 can 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-described embodiments merely represent several implementation methods of the present application. While the descriptions are relatively specific and detailed, they should not be construed as limiting the scope of the present invention. It should be noted that a person skilled in the art could make various modifications and improvements without departing from the spirit of the present application, all of which fall within the scope of protection of the present application. Therefore, the scope of protection of the present patent application shall be determined by the appended claims.

Claims

1. A method for detecting the buried depth of internal defects of airport roadbed and pavement considering heterogeneous errors, characterized by: The method comprises: S1: Drilling core samples from a test section of an airport pavement, testing the core samples, determining the dielectric constants of various layers of the airport pavement, and obtaining probability distribution characteristics of each layer of the core samples. The airport pavement consists of three layers: a pavement surface layer, a pavement base layer, and a road subgrade. S2: Scan the airport pavement in the area to be tested with a ground penetrating radar 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 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 roadbed, respectively, and the two-way travel time of the electromagnetic wave measured 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 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 test area, 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 test area, 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 test area to determine the expected value of the internal defect depth of each layer of the airport pavement in the test area; S4: determining the probability intervals 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 a final result of the internal disease burial depth of the area to be measured based on the expected value of the disease burial depth inside each layer of the area to be measured 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 Said S1 comprises: S1.1: Drill core samples from a test section of the airport pavement. The core samples include core samples of the surface layer, base layer, and roadbed of the airport pavement. Use a dielectric constant meter to test the dielectric constant of each core sample. The number of core samples drilled in each layer should be no less than 8. S1.2: Use the skewness-kurtosis test method to verify whether the dielectric constants of the different core samples taken from each layer satisfy the normal distribution. If the dielectric constants of the different core samples taken from each layer do not satisfy the normal distribution, return to S1.1 and increase the number of core samples to continue testing the dielectric constants of each core sample until the dielectric constants of the different core samples taken from each layer satisfy the normal distribution. S1.3: If the dielectric constants of the 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 as ε i , i=s,b,g, 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 depth of the defects in 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 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 is at the 68% percentile: 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 measured 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 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 measured area; 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 measured 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 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 measured area 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 is at the 99.7% percentile: 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 measured 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 limit and the lower limit of the probability interval in which the heterogeneous error of the expected value of the buried depth of the roadbed disease in the measured area 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 99.7% probability of being distributed in In the interval, i = s, b, g, s, b, g represent the pavement surface layer, pavement base layer, and road subgrade respectively.

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