CN113567753A - Dielectric equivalent conversion method, system, equipment and medium for asphalt mixture - Google Patents
Dielectric equivalent conversion method, system, equipment and medium for asphalt mixture Download PDFInfo
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- CN113567753A CN113567753A CN202110831108.5A CN202110831108A CN113567753A CN 113567753 A CN113567753 A CN 113567753A CN 202110831108 A CN202110831108 A CN 202110831108A CN 113567753 A CN113567753 A CN 113567753A
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- G01R27/02—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
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Abstract
The invention relates to a dielectric equivalent conversion method, a system, equipment and a medium of an asphalt mixture, wherein the method comprises the following steps: respectively establishing an influence model of temperature and relative humidity on the dielectric property of the asphalt mixture to obtain a dielectric theoretical model; establishing a first equivalent relation of the influence of temperature and frequency on the dielectric property of the asphalt mixture according to the dielectric theoretical model; establishing a second equivalent relation of the influence of the relative humidity and the frequency on the dielectric property of the asphalt mixture according to the dielectric theoretical model; obtaining an equivalent conversion model according to the first equivalent relation and the second equivalent relation; and obtaining the dielectric constant of the asphalt mixture sample measured under the condition of temperature/relative humidity/frequency variable, and converting by using the equivalent conversion model to obtain the dielectric constant under a single condition. The invention can unify the dielectric constant detection data under different frequencies, temperatures and relative humidity conditions, and is beneficial to improving the detection precision of dielectric measurement nondestructive detection equipment.
Description
Technical Field
The application relates to the technical field of composite material dielectric measurement, in particular to a dielectric equivalent conversion method, a system, equipment and a medium for an asphalt mixture.
Background
In recent years, in the fields of railways, airport roads, municipal roads, and the like, nondestructive testing techniques are widely used to detect information such as pavement quality parameters and thickness, and the detection of the dielectric constant of an asphalt pavement by means of nondestructive testing equipment is a very effective quality evaluation method.
The existing nondestructive testing equipment has different testing frequencies according to the requirement of testing the road depth, so that the testing results have certain difference when actually measuring each structure of the asphalt pavement, and the unification can not be realized. In fact, the frequency may affect the dielectric properties of the asphalt mixture, and the temperature and the relative humidity in different external environments may also affect the dielectric properties of the asphalt mixture, so that the detection data of the asphalt mixture may not be unified. Therefore, the accurate determination of the dielectric constant of the asphalt pavement material and the unification of data under different test kits are very important for the quality evaluation of the asphalt pavement.
At present, the research on the dielectric property of the asphalt mixture mainly focuses on a composite material dielectric theoretical model and the application thereof, and the influence of external factors on the dielectric property of the asphalt mixture is not fully considered. When nondestructive testing is carried out by adopting nondestructive testing equipment with different frequencies and testing requirements, the nondestructive testing equipment cannot realize the unification of testing data under different nondestructive testing equipment or different frequencies due to the influence of different frequencies on asphalt pavement materials, and meanwhile, the temperature and the relative humidity of dynamic change in the environment can influence the dielectric property of the asphalt mixture, so that the nondestructive testing results obtained by the nondestructive testing equipment in different environments cannot realize unification and comparison.
In summary, how to determine the influence of frequency, relative humidity and temperature factors on the dielectric properties of the asphalt mixture so that nondestructive testing data under different frequency, temperature and relative humidity conditions can be unified is a key for improving the detection precision of nondestructive testing equipment and forming the result uniformity of the nondestructive testing equipment, and therefore, the inventor considers that the uniformity of the dielectric testing data of the asphalt mixture under different testing conditions needs further research.
Disclosure of Invention
In view of this, the present application provides a dielectric equivalent transformation method, system, device and medium for an asphalt mixture, so as to solve the technical problem how to unify dielectric constant detection data under different frequency, temperature and relative humidity conditions, thereby facilitating to improve the detection accuracy of a nondestructive detection device for dielectric constant measurement, and forming a uniform result of the nondestructive detection device.
In order to solve the above problems, in a first aspect, the present invention provides a dielectric equivalent transformation method for asphalt mixture, the method comprising:
respectively establishing an influence model of temperature and relative humidity on the dielectric property of the asphalt mixture to obtain a dielectric theoretical model;
establishing a first equivalent relation of the influence of temperature and frequency on the dielectric property of the asphalt mixture according to the dielectric theoretical model;
establishing a second equivalent relation of the influence of the relative humidity and the frequency on the dielectric property of the asphalt mixture according to the dielectric theoretical model;
obtaining an equivalent conversion model according to the first equivalent relation and the second equivalent relation;
and obtaining the dielectric constant of the asphalt mixture sample measured under the condition of temperature/relative humidity/frequency variable, and converting by using the equivalent conversion model to obtain the dielectric constant under a single condition.
Optionally, the dielectric theoretical model has an expression as follows:
in the formula, epsilonaIs the temperature-influenced dielectric constant, epsilon, of the asphalt mixturebIs the dielectric constant of the asphalt mixture influenced by relative humidity, d is the thickness of the sample, r is the radius of the sample, epsilon0Tan delta is the dielectric loss tangent of the vacuum, f is the test frequency, A is the conductivity constant of the asphalt mixture, E is the conductivity activation energy of the asphalt mixture, K is the Boltzmann constant, T is the test temperature, H is the relative humidity, K is the relative humidityHIs a polarization constant, D is conductivity, Q is a capacitor charge amount, vHIs the volume ratio of the water-gas component.
Optionally, the establishing, according to the dielectric theoretical model, a first equivalent relationship of the influence of the temperature and the frequency on the dielectric properties of the asphalt mixture includes:
calculating a first dielectric constant variation quantity when the temperature and the frequency are unchanged and calculating a second dielectric constant variation quantity when the temperature and the frequency are unchanged according to a temperature influence model in the dielectric theoretical model;
and obtaining a first equivalent relation after the first dielectric constant variation and the second dielectric constant variation are equal.
Optionally, the establishing a second equivalent relationship of the influence of the relative humidity and the frequency on the dielectric property of the asphalt mixture includes:
calculating a third dielectric constant variation quantity when the relative humidity is unchanged and the frequency is changed and calculating a fourth dielectric constant variation quantity when the relative humidity is changed and the frequency is unchanged according to a relative humidity influence model in the dielectric theoretical model;
and obtaining a second equivalent relation after the third dielectric constant variation and the fourth dielectric constant variation are equal.
Optionally, obtaining the equivalent transformation model according to the first equivalent relationship and the second equivalent relationship includes:
the first equivalent relationship is as follows:
the second equivalent relation is as follows:
and after the first equivalent relation and the second equivalent relation are equivalent, obtaining an equivalent conversion model, which is specifically expressed as follows:
in the formula, T0Is the test temperature at the initial moment, T1For the test temperature at the moment to be measured, f0Frequency of detection for initial time, f1For detecting the frequency of the moment to be measured, H0Relative humidity at the initial moment, H1Is the relative humidity at the moment to be measured.
Optionally, before obtaining the dielectric constant of the asphalt mixture sample measured under the temperature/relative humidity/frequency variable condition, the method further includes:
obtaining the measurement parameters of the asphalt mixture sample from a parameter database, wherein the measurement parameters comprise the dielectric constant, the sample thickness, the sample radius, the vacuum dielectric constant, the test frequency, the Boltzmann constant, the test temperature and the dielectric loss tangent value of the asphalt mixture sample influenced by temperature/relative humidity;
planning and solving the conductivity activation energy of the asphalt mixture sample according to the measured parameters of the asphalt mixture sample and by utilizing a temperature influence model in a dielectric theory model;
and quantifying the equivalent transformation model according to the conductivity activation energy of the asphalt mixture sample.
Optionally, obtaining a dielectric constant of the asphalt mixture sample measured under the temperature/relative humidity/frequency variable condition, and obtaining the dielectric constant under a single condition by using the equivalent transformation model, including:
performing equivalent conversion on the dielectric constant of the asphalt mixture sample measured under the temperature/relative humidity/frequency variable condition based on the equivalent conversion model to obtain a plurality of conversion values under a single condition;
and calculating dielectric constant conversion values corresponding to a plurality of conversion values under a single condition by using the dielectric theoretical model.
In a second aspect, the present invention provides a dielectric equivalent conversion system for asphalt mixtures, the system comprising:
constructing a dielectric theoretical model module for respectively establishing a model of the influence of temperature and relative humidity on the dielectric characteristics of the asphalt mixture to obtain a dielectric theoretical model;
the first equivalence determination module is used for establishing a first equivalence relation of the influence of temperature and frequency on the dielectric characteristics of the asphalt mixture according to the dielectric theoretical model;
the second equivalent determination module is used for establishing a second equivalent relation of the influence of the relative humidity and the frequency on the dielectric characteristics of the asphalt mixture according to the dielectric theoretical model;
the equivalent model determining module is used for obtaining an equivalent conversion model according to the first equivalent relation and the second equivalent relation;
and the equivalent conversion module is used for obtaining the dielectric constant of the asphalt mixture sample measured under the temperature/relative humidity/frequency variable condition and converting the dielectric constant to obtain the dielectric constant under the single condition by using the equivalent conversion model.
In a third aspect, the present application provides a computer device, which adopts the following technical solution:
a computer device comprising a memory, a processor and a computer program stored in the memory and executable on the processor, the processor implementing the steps of the method for dielectric equivalent transformation of asphalt mix when executing the computer program.
In a fourth aspect, the present application provides a computer-readable storage medium, which adopts the following technical solutions:
a computer-readable storage medium, in which a computer program is stored which, when being executed by a processor, carries out the steps of the method for dielectric equivalent transformation of an asphalt mix.
The beneficial effects of adopting the above embodiment are: respectively establishing a model of the influence of temperature and relative humidity on the dielectric property of the asphalt mixture to obtain a dielectric theoretical model; by establishing the equivalent relation of relative humidity and frequency and the equivalent relation of temperature and frequency, the equivalent conversion model of temperature, relative humidity and frequency is further established, so that dielectric constant detection data under different frequencies, temperatures and relative humidity conditions can be unified, the detection precision of nondestructive detection equipment for measuring the dielectric constant is improved, and the result of the nondestructive detection equipment is unified.
Drawings
FIG. 1 is a schematic view of an application scenario of the system for predicting the water content of the asphalt mixture provided by the invention;
FIG. 2 is a flowchart of a method of an embodiment of the method for predicting the moisture content of the asphalt mixture according to the present invention;
FIG. 3 is a flowchart illustrating an embodiment of a step S202 of a method for predicting a moisture content of an asphalt mixture according to the present invention;
FIG. 4 is a flowchart of a method of step S203 of the method for predicting the moisture content of the asphalt mixture according to an embodiment of the present invention;
FIG. 5 is a flowchart illustrating a method according to an embodiment of the method for predicting the moisture content of the asphalt mixture before step S204;
FIG. 6 is a flowchart illustrating an embodiment of a method for predicting the moisture content of the asphalt mixture in step S204 according to the present invention;
FIG. 7(a) is a comparative schematic diagram of equivalent transformed dielectric constants of test group 1 provided by the present invention;
FIG. 7(b) is a comparative graph showing equivalent transformed dielectric constants of test group 2 provided by the present invention;
FIG. 7(c) is a comparative graph showing equivalent transformed dielectric constants of test group 3 provided by the present invention;
FIG. 8 is a schematic block diagram of an embodiment of a system for predicting moisture content of asphalt mixture according to the present invention;
FIG. 9 is a schematic block diagram of an embodiment of a computer device provided by the present invention.
Detailed Description
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate preferred embodiments of the invention and together with the description, serve to explain the principles of the invention and not to limit the scope of the invention.
In the description of the present application, "a plurality" means two or more unless specifically limited otherwise.
Reference herein to "an embodiment" means that a particular feature, structure, or characteristic described in connection with the embodiment can be included in at least one embodiment of the invention. The appearances of the phrase in various places in the specification are not necessarily all referring to the same embodiment, nor are separate or alternative embodiments mutually exclusive of other embodiments. It is explicitly and implicitly understood by one skilled in the art that the embodiments described herein can be combined with other embodiments.
The invention provides a dielectric equivalent conversion method, a system, equipment and a storage medium of an asphalt mixture, which are respectively explained in detail below.
Fig. 1 is a schematic view of a dielectric equivalent conversion system for asphalt mixture provided in an embodiment of the present application, where the system may include a server 100, and the server 100 is integrated with the dielectric equivalent conversion system for asphalt mixture, such as the server in fig. 1.
In the embodiment of the present application, the server 100 is mainly used for:
respectively establishing an influence model of temperature and relative humidity on the dielectric property of the asphalt mixture to obtain a dielectric theoretical model;
establishing a first equivalent relation of the influence of temperature and frequency on the dielectric property of the asphalt mixture according to a dielectric theoretical model;
establishing a second equivalent relation of the influence of the relative humidity and the frequency on the dielectric property of the asphalt mixture according to the dielectric theoretical model;
obtaining an equivalent conversion model according to the first equivalent relation and the second equivalent relation;
and obtaining the dielectric constant of the asphalt mixture sample measured under the condition of temperature/relative humidity/frequency variable, and converting by using an equivalent conversion model to obtain the dielectric constant under a single condition.
In this embodiment, the server 100 may be an independent server, or may be a server network or a server cluster composed of servers, for example, the server 100 described in this embodiment includes, but is not limited to, a computer, a network host, a single network server, a plurality of network server sets, or a cloud server composed of a plurality of servers. Among them, the Cloud server is constituted by a large number of computers or web servers based on Cloud Computing (Cloud Computing).
It is to be understood that the terminal 200 used in the embodiments of the present application may be a device that includes both receiving and transmitting hardware, i.e., a device having receiving and transmitting hardware capable of performing two-way communication over a two-way communication link. Such a device may include: a cellular or other communication device having a single line display or a multi-line display or a cellular or other communication device without a multi-line display. The specific terminal 200 may be a desktop, a laptop, a web server, a Personal Digital Assistant (PDA), a mobile phone, a tablet computer, a wireless terminal device, a communication device, an embedded device, and the like, and the type of the terminal 200 is not limited in this embodiment.
It will be understood by those skilled in the art that the application environment shown in fig. 1 is only one application scenario of the present application, and does not constitute a limitation on the application scenario of the present application, and that other application environments may further include more or fewer terminals than those shown in fig. 1, for example, only 2 terminals are shown in fig. 1, and it is understood that the dielectric equivalent conversion system for asphalt mixture may further include one or more other terminals, and is not limited herein.
In addition, referring to fig. 1, the system for dielectric equivalent transformation of asphalt mixture may further include a memory 200 for storing data, such as thickness of asphalt mixture sample, radius of sample, testing frequency, testing temperature, and the like.
It should be noted that the scenario diagram of the dielectric equivalent transformation system for asphalt mixture shown in fig. 1 is only an example, and the dielectric equivalent transformation system for asphalt mixture and the scenario described in this application are for more clearly illustrating the technical solution of the embodiment of the present application, and do not constitute a limitation to the technical solution provided in the embodiment of the present application, and as can be known by those skilled in the art, along with the evolution of the dielectric equivalent transformation system for asphalt mixture and the appearance of a new business scenario, the technical solution provided in the embodiment of the present application is also applicable to similar technical problems.
Referring to fig. 2, fig. 2 is a flowchart of an embodiment of an equivalent method for converting asphalt mixture into different dielectric test conditions, the method comprising the steps of:
s201, respectively establishing a model of influence of temperature and relative humidity on dielectric properties of the asphalt mixture to obtain a dielectric theoretical model;
s202, establishing a first equivalent relation of the temperature and the frequency on the influence of the dielectric property of the asphalt mixture according to a dielectric theoretical model;
s203, establishing a second equivalent relation of the influence of the relative humidity and the frequency on the dielectric property of the asphalt mixture according to the dielectric theoretical model;
s204, obtaining an equivalent conversion model according to the first equivalent relation and the second equivalent relation;
s205, obtaining the dielectric constant of the asphalt mixture sample measured under the condition of temperature/relative humidity/frequency variable, and converting by using an equivalent conversion model to obtain the dielectric constant under a single condition.
In the embodiment, a dielectric theoretical model is obtained by respectively establishing models of the influence of temperature and relative humidity on the dielectric property of the asphalt mixture; by establishing the equivalent relation of relative humidity and frequency and the equivalent relation of temperature and frequency, the equivalent conversion model of temperature, relative humidity and frequency is further established, so that dielectric constant detection data under different frequencies, temperatures and relative humidity conditions can be unified, the detection precision of nondestructive detection equipment for measuring the dielectric constant is improved, and the result of the nondestructive detection equipment is unified.
Optionally, in this embodiment, since the temperature and the relative humidity have different influences on the dielectric property of the asphalt mixture, the influence models of the temperature and the relative humidity on the dielectric property of the asphalt mixture are respectively expressed as follows:
in the formula, epsilonaIs the temperature-influenced dielectric constant, epsilon, of the asphalt mixturebIs the dielectric constant of the asphalt mixture influenced by relative humidity, d is the thickness of the sample, r is the radius of the sample, epsilon0Tan delta is the dielectric loss tangent of the vacuum, f is the test frequency, A is the conductivity constant of the asphalt mixture, E is the conductivity activation energy of the asphalt mixture, K is the Boltzmann constant, T is the test temperature, H is the relative humidity, K is the relative humidityHIs a polarization constant, D is conductivity, Q is a capacitor charge amount, vHIs the volume ratio of the water-gas component.
Optionally, referring to fig. 3, a flowchart of a method of an embodiment of step S202 provided in the present application, where the step S202 includes:
s301, calculating a first dielectric constant variation when the temperature and the frequency are unchanged and calculating a second dielectric constant variation when the temperature and the frequency are unchanged according to a temperature influence model in the dielectric theoretical model;
s302, obtaining a first equivalent relationship after the first dielectric constant variation and the second dielectric constant variation are equal in quantity.
According to formula (1) with T0Is the initial temperature, f0Frequency of initial stateThe first dielectric constant variation may be represented by formula (3):
the second dielectric constant variation may be represented by formula (4):
in the formulae (3) and (4), ε represents an initial dielectric constant1Is the dielectric constant of the time instant to be measured, f1For detecting the frequency, T, of the moment to be measured1Tan delta as the temperature at the moment to be measured1Tan delta being the dielectric loss tangent at the moment to be measured0The initial dielectric tangent value.
Further, the first equivalent relationship, i.e., the temperature-frequency equivalent relationship, is established by the simultaneous equations (3) and (4), and is expressed as follows:
further simplification can be given by equation (6):
from the formula (6), if the conductivity activation energy E of the asphalt mixture is known, the equivalent relationship of temperature and frequency can be quantified. In the above formula, f is present1≠f0,T1≠T0The preconditions of (a).
Optionally, referring to fig. 4, a flowchart of a method of an embodiment of step S203 provided by the present application, where the step S203 includes:
s401, calculating a third dielectric constant variation when the relative humidity is unchanged and the frequency is changed and calculating a fourth dielectric constant variation when the relative humidity is changed and the frequency is unchanged according to a relative humidity influence model in the dielectric theoretical model;
s402, obtaining a second equivalent relation after the third dielectric constant variation and the fourth dielectric constant variation are equal in quantity.
In the formula (2), the water-air volume ratio of the asphalt mixture, the capacitor charge Q and the conductivity σ are not changed along with the changes of the relative humidity and the frequency.
According to formula (2) with H0As initial relative humidity, f0The third dielectric constant variation amount is expressed by the following equation (7) as the frequency of the initial state:
the fourth variation of dielectric constant may be represented by the following formula (8):
in the formulae (7) and (8), ε represents an initial dielectric constant1Is the dielectric constant of the time instant to be measured, H0At an initial relative humidity, H1Relative humidity at the moment to be measured, f0For the initial detection frequency, f1For detecting the frequency, tan delta, of the moment to be measured0Tan delta as the initial dielectric loss tangent1The dielectric tangent at the time to be measured.
And (3) combining the formula (7) and the formula (8), and establishing a second equivalent relation, namely a relative humidity-frequency equivalent relation, wherein the formula comprises the following steps:
it should be noted that, the dielectric loss variation is much smaller than the dielectric constant within a certain range (the dielectric loss tangent is approximately unchanged), so the difference of the dielectric loss variation can be assumed to be very small during calculation, i.e. formula (10) can be simplified:
in the above formula, f is present1≠f0,H1≠H0The preconditions of (a).
The equivalent relationship between the relative humidity and the frequency of the dielectric constant of the asphalt mixture can be obtained by the formula (10), and meanwhile, the equivalent relationship is related to the initial values of the relative humidity and the frequency condition and the selection of the time to be measured.
Optionally, step S204 of this embodiment includes:
and after the first equivalent relation and the second equivalent relation are equivalent, obtaining an equivalent conversion model, which is specifically expressed as follows:
in the formula, T0Is the test temperature at the initial moment, T1For the test temperature at the moment to be measured, f0Frequency of detection for initial time, f1For detecting the frequency of the moment to be measured, H0Relative humidity at the initial moment, H1Is the relative humidity at the moment to be measured.
Specifically, in order to establish the equivalent relationship between temperature, relative humidity and frequency by combining the temperature-frequency equivalent relationship and the relative humidity-frequency equivalent relationship of the dielectric constant of the asphalt mixture, the temperature-relative humidity-frequency equivalent relationship of the dielectric constant of the asphalt mixture can be established based on the equivalent models of the formulas (6) and (10) by using the variation of the dielectric constant of the asphalt mixture as a basis.
Optionally, referring to fig. 5, before obtaining the dielectric constant of the asphalt mixture sample measured under the temperature/relative humidity/frequency variable condition in step 204 of this embodiment, the method for converting the dielectric equivalent of the asphalt mixture further includes:
s501, obtaining measurement parameters of the asphalt mixture sample from a parameter database, wherein the measurement parameters comprise the dielectric constant, the sample thickness, the sample radius, the vacuum dielectric constant, the test frequency, the Boltzmann constant, the test temperature and the dielectric loss tangent value of the asphalt mixture sample influenced by temperature/relative humidity;
s502, planning and solving the conductivity activation energy of the asphalt mixture sample according to the measurement parameters of the asphalt mixture sample and by utilizing a temperature influence model in a dielectric theory model;
s503, quantifying the equivalent transformation model according to the conductivity activation energy of the asphalt mixture sample.
Optionally, referring to fig. 6, step S204 in this embodiment specifically includes:
s601, performing equivalent transformation on dielectric constants of the asphalt mixture sample measured under the condition of temperature/relative humidity/frequency variable based on an equivalent transformation model to obtain a plurality of transformation values under a single condition;
s602, dielectric constant conversion values corresponding to a plurality of conversion values under a single condition are calculated by using a dielectric theory model.
In this embodiment, it is illustrated as an example that the dielectric constant of the asphalt mixture sample measured under three different variable conditions of temperature/relative humidity/frequency is converted into corresponding relative humidity by using an equivalent conversion model; further, the relative humidity influence model in the dielectric theoretical model can be used to calculate the corresponding dielectric constant conversion value. In other embodiments, the single condition (temperature or frequency) of the equivalent transformation may be changed according to actual requirements, and is not limited herein.
It should be understood that, the sequence numbers of the steps in the foregoing embodiments do not imply an execution sequence, and the execution sequence of each process should be determined by its function and inherent logic, and should not constitute any limitation to the implementation process of the embodiments of the present invention.
The asphalt mixture water content prediction model implemented in the embodiment is verified by combining a specific asphalt mixture test.
(1) Test sample preparation
The limestone AC-20C asphalt mixture is selected, wherein the asphalt adopts 50# base asphalt, 70# base asphalt and SBS modified asphalt provided by Hubei nations, the aggregate adopts limestone in Hubei province of China, all material performance indexes can meet the standard requirements, the optimum oilstone ratio of the limestone and the basalt to the asphalt is determined to be 5.6% through Marshall test, the porosity of a test piece is ensured to be controlled within the range of 4 +/-0.5%, and the specific mineral aggregate gradation of the asphalt mixture is shown in the following table 1.
TABLE 1 limestone AC-20C asphalt mixture gradation composition
The specific sample preparation method comprises the following steps:
(a) an initial sample was prepared. The method adopts 50# base asphalt, 70# base asphalt and SBS modified asphalt from Hubei province of China, and adopts limestone aggregate from Hubei province of China. And respectively combining the three kinds of asphalt and aggregate to prepare three kinds of asphalt mixture rotary compaction test pieces.
(b) And cutting the standard test piece. The obtained asphalt mixture is rotated and compacted to obtain a test piece with the diameter of 150mm and the height of 170mm, and then a drilling core machine and a cutting machine are utilized to process the test piece into a standard test piece with the diameter of 100mm and the height of 170 mm. Controlling the porosity of the obtained standard test piece within the range of 4 +/-0.5%.
(c) The measurement sample was cut. Processing the obtained standard test piece into a sheet with the thickness of about 10mm according to the size requirement of the dielectric constant test platform on a measured object, drilling a core from the sheet to obtain an asphalt mixture test piece with the diameter of about 26mm and the thickness of about 10mm, wherein the asphalt mixture test piece is suitable for the dielectric constant test platform test, and at least 3 intact parallel test samples are prepared for each type of aggregate and asphalt combination. And (3) placing each test sample in different constant temperature and humidity boxes according to a plurality of different relative humidity conditions for curing, wherein the condition parameters are shown in the following tables 2 and 3.
TABLE 2 Multi-temperature health preserving and testing of various condition parameters
Conditions of the experiment | Parameter(s) |
Set temperature (. degree. C.) | 30、35、40、45、50、55、60 |
Relative humidity (%) | 50 |
Test frequency (kHz) | 1、10、100、1000 |
Test voltage (V) | 2 |
Number of measurement points | 7, 4, 3 and 84 |
TABLE 3 Multi-phase relative humidity health preserving and testing of various condition parameters
Conditions of the experiment | Parameter(s) |
Set temperature (. degree. C.) | 30 |
Relative humidity (%) | 50、60、70、80、90、100 |
Test frequency (kHz) | 1、10、100、1000 |
Test voltage (V) | 2 |
Number of measurement points | 6, 4, 3 and 72 |
(2) Dielectric determination
In one embodiment, the high temperature testing platform is HTMS10Y1110 manufactured by changsachi electronics technologies, inc, which is mainly a dielectric constant testing platform, and is generally used to test the dielectric constant of the object to be tested. The device mainly comprises five parts, namely a fixing device, an isolation layer, a measuring device, an environment box and a heating device, and can realize the measurement of the dielectric constant and the dielectric loss of the asphalt mixture under the conditions of a plurality of temperatures, relative humidity and frequencies.
The test adopts a variable control method, a multi-temperature test and a multi-phase relative humidity test are respectively carried out, the relative humidity and the temperature are respectively controlled to be kept unchanged, and the test conditions of the test are respectively shown in tables 2 and 3.
It should be noted that after the measurement parameters are set, the manufactured sample is placed inside the measurement device of the dielectric constant test platform, so that two ends of the sample are attached to two-stage contact surfaces of the measurement device, and the measurement accuracy is ensured. After the sample is put into the measuring device according to the requirements, the measuring device can be put into an environmental box to formally start a measuring test.
(3) Establishing a dielectric theoretical model, wherein the expression of the dielectric theoretical model is as follows:
in the formula, epsilonaIs the temperature-influenced dielectric constant, epsilon, of the asphalt mixturebIs the dielectric constant of the asphalt mixture influenced by relative humidity, d is the thickness of the sample, r is the radius of the sample, epsilon0Tan delta is the dielectric loss tangent of the vacuum, f is the test frequency, A is the conductivity constant of the asphalt mixture, E is the conductivity activation energy of the asphalt mixture, K is the Boltzmann constant, T is the test temperature, H is the relative humidity, K is the relative humidityHIs a polarization constant, D is conductivity, Q is a capacitor charge amount, vHIs the volume ratio of the water-gas component.
(4) Establishing an equivalent conversion model, wherein the expression of the equivalent conversion model is as follows:
in the formula, T0Is the test temperature at the initial moment, T1For the test temperature at the moment to be measured, f0Frequency of detection for initial time, f1For detecting the frequency of the moment to be measured, H0Relative humidity at the initial moment, H1Is the relative humidity at the moment to be measured.
(5) Validating an equivalent transformation model
In order to verify the temperature-relative humidity-frequency equivalent model of the dielectric constant of the asphalt mixture, assuming that the initial relative humidity is 50%, the initial frequency is 1MHz, and the initial temperature is 30 ℃, for convenience of calculation, the frequencies and temperatures corresponding to the relative humidities of 50%, 60%, 70%, 80%, 90% and 100% are respectively calculated according to the equivalent conversion model, and the corresponding frequencies and temperatures are converted into the corresponding relative humidities, and simultaneously the dielectric constant at the moment is calculated according to experimental data and a dielectric theoretical model as shown in the following table.
TABLE 4 dielectric constant values of asphalt mixtures of each group
As can be seen from table 4 above, the equivalence principle is determined under the test conditions: the relative humidity is 50-100%, the temperature is 30-31.03 ℃, and the frequency is effective in the range of 500 kHz-1 MHz. And drawing a dielectric constant relation diagram of each relative humidity condition and the frequency equivalent conversion and temperature equivalent conversion thereof, wherein a conversion value 1 is the dielectric constant after the frequency equivalent conversion, a conversion value 2 is the dielectric constant after the temperature equivalent conversion, and the dielectric constants of the three asphalt mixtures are compared and are respectively shown in a figure 7(a), a figure 7(b) and a figure 7 (c).
As can be seen from the figure, the goodness of fit R of the dielectric constant value fitting curve after equivalent transformation of the dielectric constant of each group of asphalt mixtures2The relative humidity and the dielectric constant value after the equivalent conversion of each group of asphalt mixtures are all above 0.9, the relationship between the relative humidity and the dielectric constant value after the equivalent conversion of each group of asphalt mixtures can be well described, and from the view point of the graph of each group, the fit line of the dielectric constant and the relative humidity of the three groups of asphalt mixtures and the fit line of the relative humidity and the dielectric constant after the equivalent conversion are basically coincident, so that the feasibility of the temperature-relative humidity-frequency equivalent conversion model can be illustrated.
In the embodiment, a dielectric theoretical model is obtained by respectively establishing models of the influence of temperature and relative humidity on the dielectric property of the asphalt mixture; by establishing the equivalent relation of relative humidity and frequency and the equivalent relation of temperature and frequency, the equivalent conversion model of temperature, relative humidity and frequency is further established, so that dielectric constant detection data under different frequencies, temperatures and relative humidity conditions can be unified, the detection precision of nondestructive detection equipment for measuring the dielectric constant is improved, and the result of the nondestructive detection equipment is unified.
The embodiment also provides a dielectric equivalent conversion system of the asphalt mixture, and the dielectric equivalent conversion system of the asphalt mixture corresponds to the dielectric equivalent conversion method of the asphalt mixture in the embodiment one to one. As shown in fig. 8, the dielectric equivalent transformation system for asphalt mixture includes a dielectric theory model building module 801, a first equivalent determination module 802, a second equivalent determination module 803, an equivalent model determination module 804 and an equivalent transformation module 805. The functional modules are explained in detail as follows:
constructing a dielectric theoretical model module 801 for respectively establishing a model of the influence of temperature and relative humidity on the dielectric characteristics of the asphalt mixture to obtain a dielectric theoretical model;
the first equivalence determination module 802 is configured to establish a first equivalence relation between the temperature and the frequency, which affect the dielectric characteristics of the asphalt mixture, according to the dielectric theoretical model;
the second equivalence determination module 803 is configured to establish a second equivalence relation between the influence of the relative humidity and the frequency on the dielectric characteristics of the asphalt mixture according to the dielectric theoretical model;
an equivalent model determining module 804, configured to obtain an equivalent conversion model according to the first equivalent relationship and the second equivalent relationship;
the equivalent conversion module 805 is configured to obtain a dielectric constant of the asphalt mixture sample measured under the temperature/relative humidity/frequency variable condition, and obtain the dielectric constant under a single condition by using an equivalent conversion model.
For the specific definition of the dielectric equivalent transformation system of the asphalt mixture, reference may be made to the definition of the dielectric equivalent transformation method of the asphalt mixture above, and details are not repeated here. The modules in the dielectric equivalent conversion system of the asphalt mixture can be completely or partially realized by software, hardware and a combination thereof. The modules can be embedded in a hardware form or independent from a processor in the computer device, and can also be stored in a memory in the computer device in a software form, so that the processor can call and execute operations corresponding to the modules.
Referring to fig. 9, the present embodiment further provides a computer device, which may be a computing device such as a mobile terminal, a desktop computer, a notebook, a palmtop computer, and a server. The computer device comprises a processor 10, a memory 20 and a display 30. Fig. 9 shows only some of the components of the computer device, but it is to be understood that not all of the shown components are required to be implemented, and that more or fewer components may be implemented instead.
The storage 20 may in some embodiments be an internal storage unit of the computer device, such as a hard disk or a memory of the computer device. The memory 20 may also be an external storage device of the computer device in other embodiments, such as a plug-in hard disk, a Smart Media Card (SMC), a Secure Digital (SD) Card, a Flash memory Card (Flash Card), etc. provided on the computer device. Further, the memory 20 may also include both an internal storage unit and an external storage device of the computer device. The memory 20 is used for storing application software installed in the computer device and various data, such as program codes installed in the computer device. The memory 20 may also be used to temporarily store data that has been output or is to be output. In one embodiment, the memory 20 has stored thereon a computer program 40.
The processor 10 may be, in some embodiments, a Central Processing Unit (CPU), microprocessor or other data Processing chip for executing program codes stored in the memory 20 or Processing data, such as performing a dielectric equivalent transformation method for asphalt mixture.
The display 30 may be an LED display, a liquid crystal display, a touch-sensitive liquid crystal display, an OLED (Organic Light-Emitting Diode) touch panel, or the like in some embodiments. The display 30 is used for displaying information at the computer device and for displaying a visual user interface. The components 10-30 of the computer device communicate with each other via a system bus.
In an embodiment, the following steps are implemented when the processor 10 executes the computer program 40 in the memory 20:
respectively establishing an influence model of temperature and relative humidity on the dielectric property of the asphalt mixture to obtain a dielectric theoretical model;
establishing a first equivalent relation of the influence of temperature and frequency on the dielectric property of the asphalt mixture according to a dielectric theoretical model;
establishing a second equivalent relation of the influence of the relative humidity and the frequency on the dielectric property of the asphalt mixture according to the dielectric theoretical model;
obtaining an equivalent conversion model according to the first equivalent relation and the second equivalent relation;
and obtaining the dielectric constant of the asphalt mixture sample measured under the condition of temperature/relative humidity/frequency variable, and converting by using an equivalent conversion model to obtain the dielectric constant under a single condition.
The present embodiments also provide a computer-readable storage medium having stored thereon a computer program which, when executed by a processor, performs the steps of:
respectively establishing an influence model of temperature and relative humidity on the dielectric property of the asphalt mixture to obtain a dielectric theoretical model;
establishing a first equivalent relation of the influence of temperature and frequency on the dielectric property of the asphalt mixture according to a dielectric theoretical model;
establishing a second equivalent relation of the influence of the relative humidity and the frequency on the dielectric property of the asphalt mixture according to the dielectric theoretical model;
obtaining an equivalent conversion model according to the first equivalent relation and the second equivalent relation;
and obtaining the dielectric constant of the asphalt mixture sample measured under the condition of temperature/relative humidity/frequency variable, and converting by using an equivalent conversion model to obtain the dielectric constant under a single condition.
Those skilled in the art will appreciate that all or part of the flow of the method implementing the above embodiments may be implemented by a computer program, which is stored in a computer readable storage medium, to instruct related hardware. The computer readable storage medium is a magnetic disk, an optical disk, a read-only memory or a random access memory.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention.
Claims (10)
1. A method for dielectric equivalent transformation of asphalt mixture, the method comprising:
respectively establishing an influence model of temperature and relative humidity on the dielectric property of the asphalt mixture to obtain a dielectric theoretical model;
establishing a first equivalent relation of the influence of temperature and frequency on the dielectric property of the asphalt mixture according to the dielectric theoretical model;
establishing a second equivalent relation of the influence of the relative humidity and the frequency on the dielectric property of the asphalt mixture according to the dielectric theoretical model;
obtaining an equivalent conversion model according to the first equivalent relation and the second equivalent relation;
and obtaining the dielectric constant of the asphalt mixture sample measured under the condition of temperature/relative humidity/frequency variable, and converting by using the equivalent conversion model to obtain the dielectric constant under a single condition.
2. The dielectric equivalent transformation method of asphalt mixture according to claim 1, characterized in that the expression of the dielectric theoretical model is:
in the formula, epsilonaIs the temperature-influenced dielectric constant, epsilon, of the asphalt mixturebIs the dielectric constant of the asphalt mixture influenced by relative humidity, epsilon is the dielectric constant, d is the thickness of the sample, r is the radius of the sample, epsilon0Tan delta is dielectric constant in vacuumLoss tangent value, f is test frequency, A is the conductivity constant of the asphalt mixture, E is the conductivity activation energy of the asphalt mixture, K is Boltzmann constant, T is test temperature, H is relative humidity, K isHIs a polarization constant, D is conductivity, Q is a capacitor charge amount, vHIs the volume ratio of the water-gas component.
3. The dielectric equivalent transformation method of asphalt mixture according to claim 1, wherein the establishing a first equivalent relationship of the temperature and frequency on the influence of the dielectric characteristics of the asphalt mixture according to the dielectric theoretical model comprises:
calculating a first dielectric constant variation quantity when the temperature and the frequency are unchanged and calculating a second dielectric constant variation quantity when the temperature and the frequency are unchanged according to a temperature influence model in the dielectric theoretical model;
and obtaining a first equivalent relation after the first dielectric constant variation and the second dielectric constant variation are equal.
4. The method of claim 1, wherein the establishing a second equivalence relation of relative humidity and frequency effects on asphalt dielectric properties comprises:
calculating a third dielectric constant variation quantity when the relative humidity is unchanged and the frequency is changed and calculating a fourth dielectric constant variation quantity when the relative humidity is changed and the frequency is unchanged according to a relative humidity influence model in the dielectric theoretical model;
and obtaining a second equivalent relation after the third dielectric constant variation and the fourth dielectric constant variation are equal.
5. The dielectric equivalent transformation method of asphalt mixture according to claim 2, wherein obtaining an equivalent transformation model according to the first equivalent relationship and the second equivalent relationship comprises:
the first equivalent relationship is as follows:
the second equivalent relation is as follows:
and after the first equivalent relation and the second equivalent relation are equivalent, obtaining an equivalent conversion model, which is specifically expressed as follows:
in the formula, T0Is the test temperature at the initial moment, T1For the test temperature at the moment to be measured, f0Frequency of detection for initial time, f1For detecting the frequency of the moment to be measured, H0Relative humidity at the initial moment, H1Is the relative humidity at the moment to be measured.
6. The method of dielectric equivalent transformation of asphalt mixtures according to claim 5, characterized in that before obtaining the dielectric constant of the asphalt mixture sample measured under temperature/relative humidity/frequency variable conditions, the method further comprises:
obtaining the measurement parameters of the asphalt mixture sample from a parameter database, wherein the measurement parameters comprise the dielectric constant, the sample thickness, the sample radius, the vacuum dielectric constant, the test frequency, the Boltzmann constant, the test temperature and the dielectric loss tangent value of the asphalt mixture sample influenced by temperature/relative humidity;
planning and solving the conductivity activation energy of the asphalt mixture sample according to the measured parameters of the asphalt mixture sample and by utilizing a temperature influence model in a dielectric theory model;
and quantifying the equivalent transformation model according to the conductivity activation energy of the asphalt mixture sample.
7. The dielectric equivalent transformation method of the asphalt mixture as claimed in claim 6, wherein obtaining the dielectric constant of the asphalt mixture sample measured under the condition of temperature/relative humidity/frequency variation, and transforming to obtain the dielectric constant under a single condition by using the equivalent transformation model comprises:
performing equivalent conversion on the dielectric constant of the asphalt mixture sample measured under the temperature/relative humidity/frequency variable condition based on the equivalent conversion model to obtain a plurality of conversion values under a single condition;
and calculating dielectric constant conversion values corresponding to a plurality of conversion values under a single condition by using the dielectric theoretical model.
8. A dielectric equivalent transformation system for bituminous mixes, characterized in that it comprises:
constructing a dielectric theoretical model module for respectively establishing a model of the influence of temperature and relative humidity on the dielectric characteristics of the asphalt mixture to obtain a dielectric theoretical model;
the first equivalence determination module is used for establishing a first equivalence relation of the influence of temperature and frequency on the dielectric characteristics of the asphalt mixture according to the dielectric theoretical model;
the second equivalent determination module is used for establishing a second equivalent relation of the influence of the relative humidity and the frequency on the dielectric characteristics of the asphalt mixture according to the dielectric theoretical model;
the equivalent model determining module is used for obtaining an equivalent conversion model according to the first equivalent relation and the second equivalent relation;
and the equivalent conversion module is used for obtaining the dielectric constant of the asphalt mixture sample measured under the temperature/relative humidity/frequency variable condition and converting the dielectric constant to obtain the dielectric constant under the single condition by using the equivalent conversion model.
9. A computer device comprising a memory, a processor and a computer program stored in the memory and executable on the processor, characterized in that the processor when executing the computer program implements the steps of the method for dielectric equivalent transformation of asphalt mix according to any one of claims 1 to 7.
10. A computer-readable storage medium, in which a computer program is stored, which computer program, when being executed by a processor, is adapted to carry out the steps of the method for dielectric equivalent transformation of asphalt mix according to any one of claims 1 to 7.
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