Dielectric constant correction method for interface transition area between mineral powder and asphalt

Abstract

The invention discloses a dielectric constant correction method for an interface transition region between mineral powder and asphalt, which comprises the following steps of: respectively measuring actually measured dielectric constants of mineral powder, asphalt and asphalt mortar; constructing a simulated asphalt mortar structure according to the actually measured dielectric constants of the mineral powder, the asphalt and the asphalt mortar and the volume ratio of the mineral powder to the asphalt in the asphalt mortar according to GprMax numerical simulation software; performing radar electromagnetic wave analysis on the simulated asphalt mortar structure to obtain a dielectric constant of the simulated asphalt mortar; comparing the dielectric constant of the simulated asphalt mortar with the obtained actually measured dielectric constant of the asphalt mortar so as to determine an influence factor of an interface transition zone between the mineral powder and the asphalt; and introducing the influence factors of the interface transition area between the mineral powder and the asphalt into the basic theoretical model for correction to obtain a correction model of the dielectric constant. The invention aims to improve the calculation precision of the dielectric constant of the asphalt mortar so as to improve the road quality detection precision of the ground penetrating radar.

Description

Technical Field

[0001] The present invention relates to the technical field of asphalt mixtures, and particularly to a method for correcting the dielectric constant of the interfacial transition zone between mineral powder and asphalt. Background Art

[0002] At present, while the construction of road engineering is developing rapidly, its detection and maintenance tasks are becoming increasingly onerous. In the field of road detection technology, ground penetrating radar detection technology is widely used in modern road detection due to its technical advantages such as non-destructive, fast detection speed, comprehensive detection information, high resolution, and simple operation. The difference in the dielectric properties of road structure layer materials is a prerequisite for the non-destructive detection of road quality by ground penetrating radar, directly affecting the propagation speed, reflection, refraction, and attenuation characteristics of electromagnetic waves in road materials, and is an important parameter for studying electromagnetic wave inversion algorithms, data processing, and road condition recognition. The electromagnetic waves emitted by the transmitting antenna of the ground penetrating radar will refract and reflect at the interface with different media, and the reflected waves are finally collected by the receiving antenna and often displayed in the form of images. According to the travel time of the reflected waves and the known propagation speed of electromagnetic waves in underground media, the depth of the reflection interface can be calculated; by the characteristics of the amplitude, phase, etc. of the reflected waves, the properties and structural changes of underground media can be inferred, and then an image of the underground structure can be generated to visually display the thickness, position, and possible defect distribution of each road structure layer. Thus, the study of the dielectric properties of road materials is of great significance.

[0003] In the field of road engineering, asphalt mixture, as a typical composite material, is composed of various components such as asphalt, aggregates, and mineral powder, and is widely used in the paving of various road surfaces. Its performance directly affects the service quality and lifespan of the road, and asphalt mortar, as a key component of asphalt mixture, plays a decisive role in the overall performance of the mixture. Since asphalt mortar and its components are all weak-loss and non-magnetic media, the dielectric constant is regarded as an important parameter to describe the dielectric properties of asphalt mortar. The accurate calculation of the dielectric constant of asphalt mortar is the key to improving the detection accuracy of ground-penetrating radar for asphalt pavement quality. Existing dielectric constant models for theoretically calculating the dielectric constant of asphalt mortar are mostly dielectric models established based on research in fields such as microwave remote sensing, geological exploration, and oil logging. They cannot comprehensively consider the actual structural composition of asphalt mortar, and there are large errors when directly applied to calculate the dielectric constant of asphalt mortar, and they lack effectiveness and applicability. The existence of the interfacial transition zone between asphalt and mineral powder in asphalt mortar will change the electric field distribution inside the asphalt mortar, thereby affecting its dielectric response. Moreover, due to the certain activity on the surface of mineral powder, physical adsorption and chemical adsorption and other interactions will occur when it contacts asphalt, making the arrangement structure and motion state of asphalt molecules in the interfacial transition zone different from those of bulk asphalt. This difference will lead to different dielectric constants in the interfacial transition zone and the bulk asphalt. Existing dielectric constant models often ignore the influence of this key interfacial transition zone on the dielectric constant of asphalt mortar.

[0004] The existing invention patent with the publication number CN118758810A discloses a method for evaluating the compaction uniformity of asphalt pavement based on ground-penetrating radar. First, it establishes a dielectric model of asphalt mixture and deduces the calculation formula for the maximum theoretical compaction degree of the asphalt surface layer; then prepares asphalt mortar specimens and asphalt mixture specimens in the laboratory according to the mix ratio, uses ground-penetrating radar to collect amplitude data, and calculates the dielectric constants of asphalt mortar and asphalt mixture; then, combined with the mix ratio parameters of asphalt mixture and the measured dielectric constants, it inversely calculates the dielectric constant of aggregates; then, after adopting the above-obtained key parameters, it conducts the compaction degree detection of the on-site asphalt pavement through radar amplitude data collection; finally, through data evaluation, it realizes the non-destructive and efficient detection and evaluation of the compaction degree of the asphalt surface layer. Although this method involves obtaining the dielectric constants of asphalt mortar, asphalt mixture, and aggregates, it does not consider the influence of the dielectric constant of the interfacial transition zone between aggregates and asphalt on the performance of asphalt mixture. Summary of the Invention

[0005] The main purpose of the present invention is to provide a method for correcting the dielectric constant of the interfacial transition zone between mineral powder and asphalt, aiming to solve the technical problem of the influence of the existing interfacial transition zone between mineral powder and asphalt on the dielectric constant of asphalt mortar.

[0006] To achieve the above object, the present invention provides a method for correcting the dielectric constant of the interfacial transition zone between mineral powder and asphalt, and the method comprises the following steps:

[0007] Step 11, respectively measure the measured dielectric constants of the mineral powder, asphalt, and asphalt mortar, wherein the asphalt mortar is made of the mineral powder and asphalt with a preset powder-to-bitumen ratio;

[0008] Step 12, construct a simulated asphalt mortar structure according to the measured dielectric constants of the mineral powder, asphalt, and asphalt mortar obtained in Step 11 and the volume ratio of the mineral powder to asphalt in the asphalt mortar, and the volume ratio of the mineral powder to asphalt in the asphalt mortar is calculated according to the mineral powder and asphalt with a preset powder-to-bitumen ratio;

[0009] Step 13, perform radar electromagnetic wave analysis on the simulated asphalt mortar structure to obtain the dielectric constant of the simulated asphalt mortar;

[0010] Step 14, compare the dielectric constant of the simulated asphalt mortar with the measured dielectric constant of the asphalt mortar obtained in Step 11 to determine the influence factor of the interfacial transition zone between the mineral powder and asphalt;

[0011] Step 15, introduce the influence factor of the interfacial transition zone between the mineral powder and asphalt into the basic theoretical model for correction to obtain a corrected model of the dielectric constant, so as to improve the calculation accuracy of the dielectric constant of the asphalt mortar according to the corrected model of the dielectric constant, and the basic theoretical model is derived according to the effective medium theory and dielectric physics.

[0012] Optionally, the method further comprises:

[0013] Step 21, obtain the calculated dielectric constant of the asphalt mortar according to the measured dielectric constants of the mineral powder and asphalt obtained in Step 11 according to the Rayleigh model of the dielectric constant of the asphalt mortar, and the Rayleigh model of the dielectric constant of the asphalt mortar is obtained by substituting the dielectric constants of the mineral powder and asphalt into the Rayleigh model;

[0014] Step 22, obtain the first theoretically calculated dielectric constant of the asphalt mortar according to the measured dielectric constants of the mineral powder and asphalt obtained in Step 11 according to the basic theoretical model;

[0015] Step 23, obtain the corresponding calculation errors of the Rayleigh and basic theoretical models of the dielectric constant of the asphalt mortar according to the measured dielectric constant of the asphalt mortar obtained in Step 11 and the calculated dielectric constant of the asphalt mortar and the first theoretically calculated dielectric constant of the asphalt mortar respectively, so as to evaluate the accuracy difference between the Rayleigh and basic theoretical models of the dielectric constant of the asphalt mortar.

[0016] Optionally, the method further comprises:

[0017] Step 31: Obtain the dielectric constant of the asphalt mortar calculated by the second theory after correction according to the measured dielectric constants of the mineral powder and asphalt obtained in Step 11 based on the correction model of the dielectric constant.

[0018] Step 32: Obtain the calculation error of the correction model of the dielectric constant based on the measured dielectric constant of the asphalt mortar and the dielectric constant of the asphalt mortar calculated by the second theory after correction obtained in Step 11.

[0019] Step 33: Compare the calculation error of the correction model of the dielectric constant with the calculation errors of the Rayleigh and basic theory models of the dielectric constant of the asphalt mortar to determine the accuracy effect of the correction model of the dielectric constant.

[0020] Optionally, in Step 11, use a vector network analyzer connected to a coaxial probe to test the asphalt mortar and its components of asphalt and mineral powder, and obtain the actual dielectric constants of the corresponding materials.

[0021] Optionally, in Step 13, the calculation formula for simulating the dielectric constant of the asphalt mortar is

[0022]

[0023] ε e-m-m is the simulated dielectric constant of the asphalt mortar, c is the speed of light in vacuum, and its value is 3×10 8 m / s; t0 is the two-way travel time of the radar wave in the asphalt mortar structural layer; h is the thickness of the asphalt mortar structural layer in the simulated structure.

[0024] Optionally, in Step 14, the calculation formula for the influence factor of the interfacial transition zone between the mineral powder and asphalt is as follows:

[0025]

[0026] where L m is the influence factor of the interfacial transition zone; ε e-m-s is the measured dielectric constant value of the asphalt mortar; ε e-m-m is the simulated dielectric constant value of the asphalt mortar.

[0027] Optionally, in Step 15, the basic theory model is expressed as:

[0028]

[0029] where ε e-m 、ε b-as 、ε p are the dielectric constants of the asphalt mortar, asphalt, and mineral powder respectively, and v p is the volume ratio of the mineral powder in the asphalt mortar.

[0030] Optionally, in step 15, the correction model of the dielectric constant is expressed as:

[0031]

[0032] where ε e-m , ε b-as , ε p are the dielectric constants of asphalt mortar, asphalt, and mineral powder respectively, v p is the volume ratio of mineral powder in asphalt mortar, and L m is the influence factor of the interfacial transition zone.

[0033] In addition, to achieve the above object, the present invention also provides a dielectric constant correction system for the interfacial transition zone between mineral powder and asphalt. The system includes a memory, a processor, and a dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt stored on the memory and executable on the processor. When the dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt is executed by the processor, it implements the steps of the dielectric constant correction method for the interfacial transition zone between mineral powder and asphalt as described in any one of the above.

[0034] In addition, to achieve the above object, the present invention also provides a computer storage medium. A dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt is stored on the computer storage medium. When the dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt is executed by a processor, it implements the steps of the dielectric constant correction method for the interfacial transition zone between mineral powder and asphalt as described in any one of the above.

[0035] Beneficial effects:

[0036] The present invention discloses a method for correcting the dielectric constant of the interfacial transition zone between mineral powder and asphalt. First, the basic theoretical model for calculating the dielectric constant of asphalt mortar is derived by using the effective medium theory and dielectric physics; the actual measurement of the dielectric constant of laboratory asphalt mortar is carried out; the dielectric constant of asphalt mortar measured by laboratory instruments is compared with the dielectric constant calculated by the basic theoretical model to determine the initial calculation error of the basic theoretical model; then, an ideal asphalt mortar structure model is constructed by means of GprMax numerical simulation software, and the simulated dielectric constant of asphalt mortar is calculated according to the simulation results; the simulated calculated dielectric constant is compared with the actual measured dielectric constant to quantify the influence degree of the interfacial transition zone on the dielectric constant of asphalt mortar, and the interfacial transition zone influence factor is calculated; the interfacial transition zone influence factor is introduced into the basic theoretical model for correction, and the dielectric constant of asphalt mortar calculated by the corrected model is compared and verified with the actual measured dielectric constant and the initial basic theoretical model calculation error to clarify the effectiveness of the corrected model; the final result shows that the corrected model has high calculation accuracy. At the same time, compared with the existing calculation methods, the present invention realizes a strong combination of basic theory, experimental test and numerical simulation, establishes a dielectric constant calculation model that conforms to the actual structural composition of road engineering materials, improves the calculation accuracy of the dielectric constant of asphalt mortar, has a reliable model and high calculation accuracy, and can promote the detection accuracy of ground-penetrating radar for road quality. BRIEF DESCRIPTION OF THE DRAWINGS

[0037] Figure 1 FIG. 6 is a schematic flow chart of the first embodiment of a method for correcting the dielectric constant of the interfacial transition zone between mineral powder and asphalt according to the present invention.

[0038] Figure 2 FIG. 7 is a schematic diagram of the two-dimensional model structure of asphalt mortar in which spherical mineral powder particles are embedded in asphalt and contain an interfacial transition zone;

[0039] Figure 3 FIG. 8 is a schematic diagram of the three-dimensional model structure of asphalt mortar in which spherical mineral powder particles are embedded in asphalt and contain an interfacial transition zone;

[0040] Figure 4 FIG. 9 is the error of calculating the dielectric constant of asphalt mortar with different powder-to-bitumen ratios by the basic theoretical model and the Rayleigh model of the dielectric constant of asphalt mortar;

[0041] Figure 5 FIG. 10 is the simulated structure of asphalt mortar constructed by GprMax simulation software;

[0042] Figure 6 FIG. 11 is the stacked effect diagram of the ground-penetrating radar simulation signal of asphalt mortar with a powder-to-bitumen ratio of 0.6 obtained by GprMax simulation;

[0043] Figure 7It is to extract 100 radar wave signals of asphalt mortar with a powder-bitumen ratio of 0.6 simulated by GprMax;

[0044] Figure 8 is Figure 7 10 radar wave signals extracted from

[0045] Figure 9 is the dielectric constant of asphalt mortar with different powder-bitumen ratios calculated by analyzing radar wave signals;

[0046] Figure 10 is the calculated influence factor value of the influence of the interfacial transition zone between asphalt and mineral powder on the dielectric constant of asphalt mortar;

[0047] Figure 11 is the comparison effect of the error in calculating the dielectric constant of asphalt mortar with different powder-bitumen ratios between the modified model of dielectric constant, the basic theoretical model, and the Rayleigh model of the dielectric constant of asphalt mortar. Brief Description of the Drawings

[0049] 1 represents mineral powder particles; 2 represents the interfacial transition zone between asphalt and mineral powder; 3 represents the background medium asphalt; 4 represents the effective medium of the asphalt mortar formed by mixing; 5 represents the air structure layer; 6 represents the asphalt mortar structure layer; 7 represents the perfectly conductive body structure layer; 8 represents the transmitting and receiving antennas of the radar.

[0050] The realization, functional features, and advantages of the object of the present invention will be further described in conjunction with embodiments with reference to the drawings. Detailed Embodiment

[0051] It should be understood that the specific embodiments described herein are only used to explain the present invention and are not used to limit the present invention.

[0052] As Figure 1 shown, the present invention provides a flow schematic diagram of an embodiment of a method for correcting the dielectric constant of the interfacial transition zone between mineral powder and asphalt. Among them, the method includes the following steps:

[0053] Step 11, respectively measure the measured dielectric constants of mineral powder, asphalt, and asphalt mortar, and the asphalt mortar is made of mineral powder and asphalt with a preset powder-bitumen ratio. Among them, in the actual test process, a vector network analyzer is connected to a coaxial probe to test the asphalt mortar and its constituent asphalt and mineral powder, and the actual dielectric constants of the corresponding materials are obtained.

[0054] Step 12: Construct a simulated asphalt mortar structure based on the measured dielectric constants of the mineral powder, asphalt, and asphalt mortar obtained in Step 11, as well as the volume ratio of the mineral powder to asphalt in the asphalt mortar. The volume ratio of the mineral powder to asphalt in the asphalt mortar is calculated based on the mineral powder and asphalt with a preset powder-to-bitumen ratio. Among them, constructing a simulated asphalt mortar structure with the aid of GprMax numerical simulation software takes the dielectric constants of the asphalt and mineral powder that make up the asphalt mortar as known parameters, and according to the volume ratios of the asphalt and mineral powder in the laboratory-tested asphalt mortar specimen, randomly distributes the mineral powder particles in the asphalt using a random function. The specific settings of the simulated asphalt mortar structure parameters are as follows:

[0055] Construct a structural layer with a length of 75 cm, an air layer thickness of 6 cm, an asphalt mortar layer thickness of 18 cm, and an ideal perfect conductor thickness of 6 cm. The radar frequency is 2 GHz, the waveform used is a Ricker wavelet, the PML absorbing boundary condition is set with 10 grids on all sides, the grid size is 0.075 mm, the time window is set to 4 ns, the distance between the radar transmitting and receiving antennas is 3 mm, and the step size is 6 mm. Among them, to avoid the occurrence of boundary effects, extract the radar wave signals outside 7.5 cm from the start and end positions, that is, calculate and analyze the radar wave signals in the interval of 7.5 cm to 67.5 cm.

[0056] Step 13: Conduct radar electromagnetic wave analysis on the simulated asphalt mortar structure to obtain the dielectric constant of the simulated asphalt mortar. That is, according to the radar wave signals obtained from the simulated structure, calculate the two-way travel time t0 of the radar wave in the asphalt mortar structural layer, and substitute it into the dielectric constant calculation formula to obtain the dielectric constant ε of the simulated asphalt mortar e-m-m , where the calculation formula for the dielectric constant of the simulated asphalt mortar is

[0057]

[0058] c is the speed of light in a vacuum, and its value is 3×10 8 m / s, h is the thickness of the asphalt mortar structural layer in the simulated structure, which is 18 cm in this embodiment.

[0059] Step 14: Compare the dielectric constant of the simulated asphalt mortar with the measured dielectric constant of the asphalt mortar obtained in Step 11 to determine the influence factor of the interfacial transition zone between the mineral powder and asphalt.

[0060] Specifically, the calculation formula for the influence factor of the interfacial transition zone between the mineral powder and asphalt is as follows:

[0061]

[0062] Among them, L m is the influence factor of the interfacial transition zone; ε e-m-sis the measured dielectric constant value of the asphalt mortar; ε e-m-m is the dielectric constant value of the simulated asphalt mortar.

[0063] Step 15: Introduce the influence factor of the interfacial transition zone between mineral powder and asphalt into the basic theoretical model for correction to obtain a corrected model of the dielectric constant, so as to improve the calculation accuracy of the dielectric constant of the asphalt mortar according to the corrected model of the dielectric constant. The basic theoretical model is derived based on the effective medium theory and dielectric physics.

[0064] Specifically, the specific derivation process of the basic theoretical model is as follows:

[0065] The effective dielectric constant ε of the mixed medium e has the following relationship with the electric field strength E acting in the dielectric and the electric induction intensity, i.e., the electric displacement D:

[0066] D = ε e ·E (01);

[0067] The electric displacement D depends on the polarization intensity P of the inclusions in the background medium with a dielectric constant of ε b and the relationship is: D = ε b ·E + P (02);

[0068] The polarization intensity P per unit volume represents the total dipole moment of the polarized material and can be expressed by the relationship:

[0069] P = NαE i (03);

[0070] where N is the number of polarizations per unit volume, α is the polarizability of the inclusions, and E i is the electric field strength acting on the polarization of the inclusions, which can be expressed as the sum of the electric field strength of the dielectric and the depolarization field strength of the inclusions. The depolarization field strength of the inclusions is related to the shape of the inclusions and is obtained by field decomposition:

[0071]

[0072] where β is the depolarization field strength coefficient, which is a constant related to the shape of the inclusions. In this embodiment, the mineral powder particles in the asphalt mortar are regarded as spherical inclusions, then The above formula can be expressed as:

[0073]

[0074] Combining the above equations (01), (02), (03), and (05) can obtain the following relationship:

[0075]

[0076] In dielectric physics and effective dielectric theory, the polarizability α of spherical inclusions can be expressed as:

[0077]

[0078] Combining the above formulas 06 and 07, we can get:

[0079]

[0080] Among them, ε a is the dielectric constant of the spherical inclusion, V0 is the volume of a spherical inclusion, and v=NV0 represents the volume ratio of the spherical inclusion in the mixed medium. The above formula can be expressed as:

[0081]

[0082] Since asphalt mortar can be regarded as a two-phase mixed medium composed of spherical mineral powder particles embedded in asphalt, the basic theoretical model for calculating the dielectric constant of asphalt mortar can be expressed as:

[0083]

[0084] Among them, ε e-m , ε b-as , ε p are the dielectric constants of asphalt mortar, asphalt and mineral powder respectively, v p It is the volume percentage of mineral powder in asphalt mortar.

[0085] In addition, the interface transition zone influencing factor is introduced into the basic theoretical model for correction and the correction model of the dielectric constant is obtained. The correction model of the dielectric constant is expressed as:

[0086]

[0087] Among them, ε e-m , ε b-as , ε p are the dielectric constants of asphalt mortar, asphalt and mineral powder respectively, v p is the volume ratio of mineral powder in asphalt mortar, L m is the influencing factor of the interface transition zone.

[0088] Furthermore, in order to determine the effectiveness of the basic theoretical model, the basic theoretical model can be compared with the Rayleigh model of the dielectric constant of asphalt mortar. The specific steps are as follows:

[0089] Step 21: Obtain the calculated dielectric constant of the asphalt mortar according to the Rayleigh model of the dielectric constant of the asphalt mortar from the measured dielectric constants of the mineral powder and asphalt obtained in Step 11. The Rayleigh model of the dielectric constant of the asphalt mortar is obtained by substituting the dielectric constants of the mineral powder and asphalt into the Rayleigh model.

[0090] Among them, the Rayleigh model is:

[0091]

[0092] Among them, ε e , ε i are the dielectric constants of the mixed medium and each component of the mixed medium respectively, and v i is the volume ratio of each component in the mixed medium.

[0093] And when the Rayleigh model is used to calculate the dielectric constant of the asphalt mortar, it is expressed as the Rayleigh model of the dielectric constant of the asphalt mortar, specifically expressed as:

[0094]

[0095] Among them, ε e-m , ε p are the dielectric constants of the asphalt mortar and the mineral powder respectively, and v p is the volume ratio of the mineral powder in the asphalt mortar.

[0096] Step 22: Obtain the first theoretically calculated dielectric constant of the asphalt mortar according to the basic theoretical model from the measured dielectric constants of the mineral powder and asphalt obtained in Step 11;

[0097] Step 23: Obtain the calculation errors of the Rayleigh model and the basic theoretical model of the dielectric constant of the asphalt mortar corresponding to the measured dielectric constant of the asphalt mortar obtained in Step 11 and the calculated dielectric constant of the asphalt mortar and the first theoretically calculated dielectric constant of the asphalt mortar respectively. Among them, the error can be calculated by the following formula:

[0098]

[0099] Among them, E r is the calculation error of the two models (basic theoretical model / Rayleigh model of the dielectric constant of the asphalt mortar); ε e-m-s is the actually measured dielectric constant of the asphalt mortar; ε e-m is the theoretically calculated dielectric constant of the asphalt mortar.

[0100] Furthermore, the accuracy difference between the basic theoretical model and the Rayleigh model of the dielectric constant of asphalt mortar can be evaluated by calculating the error. And in a specific embodiment, the calculation error of the basic theoretical model is smaller than that of the Rayleigh model of the dielectric constant of asphalt mortar, that is, the accuracy of the basic theoretical model is higher than that of the Rayleigh model of the dielectric constant of asphalt mortar. Therefore, in this embodiment, the basic theoretical model is used to correct the influence factor of the interfacial transition zone.

[0101] Furthermore, in order to determine the effect of the correction model of the dielectric constant, and to compare the accuracy difference between the basic theoretical model and the correction model of the dielectric constant, the specific steps are as follows:

[0102] Step 31: Obtain the corrected dielectric constant of asphalt mortar calculated by the second theory according to the measured dielectric constants of mineral powder and asphalt obtained in Step 11 based on the correction model of the dielectric constant.

[0103] Step 32: Obtain the calculation error of the correction model of the dielectric constant based on the measured dielectric constant of asphalt mortar obtained in Step 11 and the corrected dielectric constant of asphalt mortar calculated by the second theory. Among them, the error calculation formula in Step 23 is used, and in the formula, the ε e-m value is replaced with the dielectric constant value of asphalt mortar calculated by the second theory, and the calculation error of the correction model of the dielectric constant is obtained.

[0104] Step 33: Compare the calculation error of the correction model of the dielectric constant with the calculation errors of the Rayleigh model and the basic theoretical model of the dielectric constant of asphalt mortar to determine the accuracy effect of the correction model of the dielectric constant. That is, compare the calculation errors of the Rayleigh model, the basic theoretical model, and the correction model of the dielectric constant of asphalt mortar. Among them, the average calculation error of the correction model of the dielectric constant is less than 3% and less than the calculation errors of the Rayleigh model and the basic theoretical model of the dielectric constant of asphalt mortar.

[0105] Furthermore, in order to better illustrate the effect of the present invention, the following specific embodiments are used for illustration:

[0106] Step 1.1: Measure the measured dielectric constants of mineral powder, asphalt, and asphalt mortar respectively. The asphalt mortar is made of mineral powder and asphalt with a preset powder-to-bitumen ratio, and the two-dimensional model structure and three-dimensional model structure of the asphalt mortar are as Figures 2-3 shown. And the measured dielectric constant results of asphalt mortar with different powder-to-bitumen ratios, as well as mineral powder and asphalt, obtained by measurement are shown in Table 1.

[0107] Table 1 Measured dielectric constant values of test asphalt mortar and its constituent raw materials asphalt and mineral powder

[0108]

[0109] Step 1.2: Refer to Table 1, substitute the dielectric constants of asphalt and mineral powder and the corresponding volume fraction of mineral powder in asphalt mortar with different powder-bitumen ratios to be calculated into the formulas of the Rayleigh model and the basic theoretical model of asphalt mortar dielectric constant, and respectively obtain the dielectric constants of asphalt mortar calculated by the Rayleigh model and the basic theoretical model of asphalt mortar dielectric constant. Then compare them with the dielectric constants of asphalt mortar with different powder-bitumen ratios actually measured in Table 1, and calculate the corresponding errors. The specific calculation error results are as Figure 4 shown. It can be seen from the figure that the errors in the basic theoretical model are all smaller than those in the Rayleigh model of asphalt mortar dielectric constant, that is, the accuracy in the basic theoretical model is higher.

[0110] Step 1.3: Use the dielectric constants of asphalt and mineral powder measured in the laboratory and the volume fractions of asphalt and mineral powder in the actually measured asphalt mortar sample as known parameters, and construct the asphalt mortar structure with the help of GprMax numerical simulation software. That is, refer to Figure 5 , which gives the parameters of the GprMax numerical simulation of the asphalt mortar structure. When calculating the dielectric constants of asphalt mortar with different powder-bitumen ratios, only the volume fractions of asphalt and mineral powder in the asphalt mortar structure layer need to be adjusted and changed, and other parameters and setting conditions remain unchanged.

[0111] Among them, Figure 6 shown is the stacked effect diagram of the ground penetrating radar simulation signal obtained from the GprMax simulation of the asphalt mortar with a powder-bitumen ratio of 0.6. It can be seen from the figure that although the mineral powder is randomly distributed, the stacked effect diagrams of the simulation signals show basically no difference, indicating that the influence of the random distribution of small particle size mineral powder on the dielectric constant of asphalt mortar can be almost ignored.

[0112] Step 1.4: For the asphalt mortar numerically simulated by GprMax, perform radar electromagnetic wave signal calculation and analysis to obtain the dielectric constant of the simulated asphalt mortar. Taking the powder-bitumen ratio of 0.6 as an example for calculation, as Figure 7 shown, there are 100 radar wave signals of the GprMax simulated asphalt mortar with a powder-bitumen ratio of 0.6. It can be seen from the figure that there is no obvious fluctuation change in the 100 radar signals, and for the 10 radar wave signals extracted from Figure 7 , there is also no obvious difference after 10 signals are stacked, as Figure 8 shown. Take the average value of the two-way travel times calculated from 10 radar wave signals as the two-way travel time for calculation. The two-way travel times of each radar wave are basically the same, and it is attached Figure 6The results are consistent, indicating that the influence of the random distribution of fine mineral powder particles on the dielectric constant of asphalt mortar is almost negligible. Substitute the average two-way travel time of 100 radar wave signals into the calculation formula for simulating the dielectric constant of asphalt mortar to calculate and simulate the dielectric constant of asphalt mortar.

[0113] Furthermore, as Figure 9 shown, the dielectric constant of the simulated asphalt mortar and the error between the dielectric constant of the simulated asphalt mortar and the actual test are given. It can be seen that the calculation error of the dielectric constant of the asphalt mortar caused by the interfacial transition zone increases with the increase of the powder-bitumen ratio of the asphalt mortar, further indicating that the influence of the interfacial transition zone on the dielectric constant of the asphalt mortar cannot be ignored.

[0114] Furthermore, as Figure 10 shown, the influence factor of the interfacial transition zone on the dielectric constant of asphalt mortar with different powder-bitumen ratios is given. It can be seen that the influence factor increases with the increase of the powder-bitumen ratio of the asphalt mortar, and shows a good functional relationship with the powder-bitumen ratio.

[0115] Furthermore, as Figure 11 shown, the error comparison of the Rayleigh model, the basic theoretical model of the dielectric constant of asphalt mortar, and the modified model of the dielectric constant for calculating the dielectric constant of asphalt mortar with different powder-bitumen ratios is given. It can be seen that the average accuracy of the basic theoretical model is improved by 2.33% compared with the Rayleigh model of the dielectric constant of asphalt mortar, and the average accuracy of the modified model of the dielectric constant is improved by 5.22% and 2.89% respectively compared with the Rayleigh model and the basic theoretical model of the dielectric constant of asphalt mortar, and the average calculation error of the modified model of the dielectric constant is only 2.92%, showing a good calculation accuracy effect.

[0116] In addition, to achieve the above object, the present invention also provides a dielectric constant correction system for the interfacial transition zone between mineral powder and asphalt. The system includes a memory, a processor, and a dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt stored on the memory and executable on the processor. When the dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt is executed by the processor, the steps of the dielectric constant correction method for the interfacial transition zone between mineral powder and asphalt as described in any one of the above are realized.

[0117] In addition, to achieve the above object, the present invention also provides a computer storage medium. A dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt is stored on the computer storage medium. When the dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt is executed by a processor, the steps of the dielectric constant correction method for the interfacial transition zone between mineral powder and asphalt as described in any one of the above are realized.

[0118] It should be noted that in this text, the terms "include", "comprise" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or system including a series of elements not only includes those elements, but also includes other elements not explicitly listed, or further includes elements inherent in such a process, method, article or system. Without further limitation, an element defined by the statement "including one..." does not exclude the existence of additional identical elements in the process, method, article or system including that element.

[0119] The serial numbers of the embodiments of the present invention above are only for description and do not represent the superiority or inferiority of the embodiments.

[0120] The above are only the preferred embodiments of the present invention, and do not limit the patent scope of the present invention accordingly. Any equivalent structure or equivalent process transformation made by using the content of the specification and drawings of the present invention, or directly or indirectly applied in other related technical fields, shall be equally included in the patent protection scope of the present invention.

Claims

1. A method for correcting the dielectric constant of the interfacial transition zone between mineral powder and asphalt, characterized in that, The method includes the following steps: Step 11: Measure the measured dielectric constants of mineral powder, asphalt, and asphalt mortar respectively. The asphalt mortar is made of mineral powder and asphalt with a preset powder-to-bitumen ratio. Step 12: Construct a simulated asphalt mortar structure according to the measured dielectric constants of the mineral powder, asphalt, and asphalt mortar obtained in Step 11 and the volume ratio of the mineral powder to asphalt in the asphalt mortar. The volume ratio of the mineral powder to asphalt in the asphalt mortar is calculated based on the mineral powder and asphalt with a preset powder-to-bitumen ratio. Step 13: Perform radar electromagnetic wave analysis on the simulated asphalt mortar structure to obtain the dielectric constant of the simulated asphalt mortar. Step 14: Compare the dielectric constant of the simulated asphalt mortar with the measured dielectric constant of the asphalt mortar obtained in Step 11 to determine the influence factor of the interfacial transition zone between the mineral powder and asphalt. Step 15: Introduce the influence factor of the interfacial transition zone between the mineral powder and asphalt into the basic theoretical model for correction to obtain a corrected model of the dielectric constant, so as to improve the calculation accuracy of the dielectric constant of the asphalt mortar according to the corrected model of the dielectric constant. The basic theoretical model is derived based on the effective medium theory and dielectric physics.

2. The method for correcting the dielectric constant of the interfacial transition zone between mineral powder and asphalt according to claim 1, wherein The method further includes: Step 21: Obtain the calculated dielectric constant of the asphalt mortar according to the measured dielectric constants of the mineral powder and asphalt obtained in Step 11 based on the Rayleigh model of the dielectric constant of the asphalt mortar. The Rayleigh model of the dielectric constant of the asphalt mortar is obtained by substituting the dielectric constants of the mineral powder and asphalt into the Rayleigh model. Step 22: Obtain the first theoretically calculated dielectric constant of the asphalt mortar according to the measured dielectric constants of the mineral powder and asphalt obtained in Step 11 based on the basic theoretical model. Step 23: Obtain the calculation errors of the Rayleigh model and the basic theoretical model of the dielectric constant of the asphalt mortar corresponding to the measured dielectric constant of the asphalt mortar, the calculated dielectric constant of the asphalt mortar, and the first theoretically calculated dielectric constant of the asphalt mortar respectively in Step 11, so as to evaluate the accuracy difference between the Rayleigh model and the basic theoretical model of the dielectric constant of the asphalt mortar.

3. The dielectric constant correction method for the interfacial transition zone between mineral powder and asphalt according to claim 2, characterized in that, The method further includes: Step 31: Obtain the corrected second theoretically calculated dielectric constant of the asphalt mortar according to the measured dielectric constants of the mineral powder and asphalt obtained in Step 11 based on the corrected model of the dielectric constant. Step 32: Obtain the calculation error of the corrected model of the dielectric constant according to the measured dielectric constant of the asphalt mortar obtained in Step 11 and the corrected second theoretically calculated dielectric constant of the asphalt mortar. Step 33: Compare the calculation error of the corrected model of the dielectric constant with the calculation errors of the Rayleigh and basic theoretical models of the dielectric constant of the asphalt mortar to determine the accuracy effect of the corrected model of the dielectric constant.

4. The method for correcting the dielectric constant of the interfacial transition zone between mineral powder and asphalt according to claim 1, characterized in that In Step 11, a vector network analyzer is connected to a coaxial probe to test the asphalt mortar and its constituent asphalt and mineral powder, and obtain the actual dielectric constants of the corresponding materials.

5. The dielectric constant correction method for the interfacial transition zone between mineral powder and asphalt according to claim 1, characterized in that In Step 13, the calculation formula for the dielectric constant of the simulated asphalt mortar is ε e-m-m To simulate the dielectric constant of asphalt mortar, c is the propagation speed of light in vacuum, and its value is 3×10 8 m / s; t0 is the two-way travel time of radar waves in the asphalt mortar structural layer; h is the thickness of the asphalt mortar structural layer in the simulated structure.

6. The method for correcting the dielectric constant of the interfacial transition zone between mineral powder and asphalt according to claim 5, characterized in that In Step 14, the calculation formula for the influence factor of the interfacial transition zone between the mineral powder and asphalt is as follows: Among them, L m is the influence factor of the interface transition zone; ε e-m-s is the measured dielectric constant value of the asphalt mortar; ε e-m-m is the dielectric constant value of the simulated asphalt mortar.

7. The dielectric constant correction method for the interfacial transition zone between mineral powder and asphalt according to claim 6, characterized in that, In Step 15, the basic theoretical model is expressed as: Among them, ε e-m , ε b-as , ε p are the dielectric constants of asphalt mortar, asphalt, and mineral powder respectively, and v p is the volume fraction of mineral powder in asphalt mortar.

8. The method for correcting the dielectric constant of the interfacial transition zone between mineral powder and asphalt according to claim 7, characterized in that, In step 15, the correction model of the dielectric constant is expressed as: Among them, ε e-m , ε b-as , ε p are the dielectric constants of asphalt mortar, asphalt, and mineral powder respectively, v p is the volume ratio of mineral powder in asphalt mortar, and L m is the interfacial transition zone influence factor.

9. A dielectric constant correction system for the interfacial transition zone between mineral powder and asphalt, characterized in that The system includes a memory, a processor, and a dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt, which is stored on the memory and can run on the processor. When the dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt is executed by the processor, it implements the steps of the dielectric constant correction method for the interfacial transition zone between mineral powder and asphalt as described in any one of claims 1 to 8.

10. A computer storage medium, characterized in that, A dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt is stored on the computer storage medium. When the dielectric constant correction program for the interfacial transition zone between mineral powder and asphalt is executed by the processor, it implements the steps of the dielectric constant correction method for the interfacial transition zone between mineral powder and asphalt as described in any one of claims 1 to 8.

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