CN107798177A - The optimal maintenance timing in road surface based on Pavement performance model before and after maintenance determines method - Google Patents
The optimal maintenance timing in road surface based on Pavement performance model before and after maintenance determines method Download PDFInfo
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Abstract
The invention discloses a kind of optimal maintenance timing in the road surface based on Pavement performance model before and after maintenance to determine method, this method is according to the performance detection index over the years of actual maintenance of surface project, such as flatness index IRI, rutting depth RD, it is determined that conserve former and later two pavement deterioration models；Then the contact established between two model parameters, the Pavement performance model after maintenance is predicted with the Pavement performance model before maintenance, maintenance benefit is defined as conserving front and rear performance curve and conserves the envelope size between threshold value, and with the function representation of performance model parameter before maintenance；Finally, it is determined that corresponding to the value of parameter when conserving benefit maximum, with the optimal maintenance timing of this determination, important evidence is provided for highway maintenance management decision-making.The inventive method has wide applicability it is determined that do not have to during optimal maintenance timing the analysis phase is determined in advance.
Description
Technical field
The present invention relates to a kind of highway administration and decision-making technic, and in particular to a kind of side for determining the optimal maintenance timing in road surface
Method.
Background technology
In order to ensure the security of highway, feature and structural, it is necessary to timely be conserved to highway.With road surface weight
Difference is built, maintenance of surface is carried out before the appearance of a large amount of diseases, is generally possible to effectively delay the decline of Pavement Performance, is recovered
Surface feature.Research shows that maintenance of surface often spends 1 dollar can save 6~10 dollars when road surface afterwards is rebuild.Therefore,
Formulate the important task that effective maintenance plan is expressway maintenance management department, and highway maintenance management decision-making
Key is the rational maintenance process of selection and opportunity.
The theory of optimal maintenance timing is：Taken on optimal opportunity maintenance measure will least cost maintenance cost and
Obtain maximum maintenance benefit.When generally referring to conserve benefit or conserve corresponding maintenance when benefit-cost ratio gets maximum
Between.When in the past by maximizing maintenance benefit to determine maintenance timing, in order to ensure maximum can reach maintenance in Pavement Performance
Occur before threshold value, generally require that the analysis phase is determined in advance, due to analyzing the phase corresponding to different highways, different maintenance processes
Larger difference be present and be difficult to determine, there is now a large amount of actual observation as shown by data, the maintenance of surface time more postpones, and conserves benefit
It is poorer.
The content of the invention
Goal of the invention：It is true that the present invention proposes a kind of optimal maintenance timing in the road surface based on Pavement performance model before and after maintenance
Determine method, this method only needs to use the performance parameter model for the index of correlation that observation data in the past are established before and after maintenance road surface i.e.
It can determine that the optimal maintenance timing in road surface.
Technical scheme：For achieving the above object, the present invention adopts the following technical scheme that：One kind determines that road surface is most preferably supported
The method on shield opportunity, comprises the following steps：
(1) according to the pavement detection performance indications over the years of actual maintenance of surface project, as flatness index IRI, rut are deep
The one or more spent in RD, RQI, PCI, RDI, SFC, PSSI, PQI etc., it is determined that conserve front and rear Pavement Performance decay mould
Type；
(2) contact is established between model parameter, the road surface property after maintenance is predicted with the Pavement performance model before maintenance
Can model；
(3) maintenance benefit calculation model is determined：Will maintenance benefit be defined as conserving front and rear performance curve with conserve threshold value it
Between envelope size, and with the function representation of performance model parameter before maintenance；
(4) value of parameter is corresponded to during determination maintenance benefit maximum, is highway maintenance pipe with the optimal maintenance timing of this determination
Manage decision-making and important evidence is provided.
Wherein, maintenance benefit is defined as conserving front and rear performance curve and conserves the envelope size between threshold value, Benefit=
∫(yTh-yAfter(t))-∫(yTh-yBefore(t)), according to the formula, without artificially determining the analysis phase, can also be reached in Pavement Performance
The t for making above formula reach maximum, i.e., optimal maintenance timing are found before to maintenance threshold value.Wherein Benefit is to conserve benefit, yTh
To conserve threshold value, yBefore(t)、yAfter(t) it is performance indications before and after maintenance, t is to be open to traffic the time.
Then its each step is specific as follows for pavement deterioration model before and after representing maintenance according to linear function：
For the Pavement performance model established among step (1), the model can be represented with linear function, specifically, supporting
Before shield：
y1=k1t+b1
After maintenance：
y2=k2t+b2
Wherein y1、y2To detect the numerical value of pavement performance index, k before and after maintenance1、k2Declined for Pavement Performance before and after maintenance
Variable Rate, b1Conserve as the numerical value of eve performance indications, b2For the numerical value of a moment performance indications after maintenance, t is with conserving node
Between time interval, t is negative before maintenance, is just after maintenance.
Contact is established in step (2) between model parameter, mould can be established by the function expression of above-mentioned decay model
Functional relation between shape parameter is as follows：
k2=α0+α1k1+α2b1
b2=β0+β1k1+β2b1
Wherein α0、α1、α2、β0、β1、β2For fitting parameter.
For determining maintenance benefit in step (3), because maintenance benefit is defined as conserving front and rear performance curve and maintenance threshold
Envelope size between value therefore maintenance benefit are represented by the function of performance model parameter before conserving, specific as follows：
Wherein Benefit is to conserve benefit, yThTo conserve threshold value, k1For Pavement Performance decay rate, b before maintenance1It is foster
Protect eve detection performance index value, α0、α1、α2、β0、β1、β2The fitting ginseng of functional relation between above-mentioned model parameter
Number.
The k on road surface can be conserved in step (4) by being actually needed1It is worth and specifically determines in Benefit maximums, its b1's
Value.Thereby determine that optimal maintenance timing.
Include international roughness index, rutting depth, and China for pavement detection performance indications among step (1)
《Highway technology status assessment standard》Technical indicator RQI, PCI that the scope recommended in (JTG H20-2007) is 0~100,
RDI、SFC、PSSI、PQI。
The front and rear Pavement performance model parameter of maintenance and its mutual relation can be according to actual maintenance projects again
It is fitted or is adjusted.
This method can not only use multiple road performance indications, can also be determined not according to category of roads and operation demand
Same maintenance threshold value, the contrast of determination and maintenance plan for maintenance timing provide foundation and guidance.
Beneficial effect：Optimal maintenance timing proposed by the invention determines that method does not have to the analysis phase is determined in advance, and avoids
The problem of analysis phase is difficult to estimate or is inaccurate, this method can be by largely having been described detection data verification, analysis result
The degree of accuracy is high, and optimal maintenance timing has much relations with the Pavement Performance decay rate before maintenance, tallies with the actual situation.And this
The relation of model parameter and maintenance threshold value can be according to reality before and after pavement performance index, performance model, maintenance in invention
Demand is adjusted, therefore has wide applicability.
Brief description of the drawings
Fig. 1 is the schematic diagram of maintenance benefit and relevant parameter
Fig. 2 is the fitting result schematic diagram of IRI performance models before and after the maintenance of 56-2017 sections；
Fig. 3 is the fitting result schematic diagram of IRI performance models before and after the maintenance of 13-4096 sections；
Fig. 4 is with b2For dependent variable, k1、b1The multiple linear regression model schematic diagram established for independent variable；
Fig. 5 is with k2For dependent variable, k1、b1The multiple linear regression model schematic diagram established for independent variable；
Fig. 6 is maintenance benefit benefit and the horizontal b of Pavement Performance before maintenance1And decay rate k1Graph of a relation.
Embodiment
Below with the drip for including performance data before and after maintenance simultaneously of inner 168 of U.S. long-term pavement performance database (LTPP)
Exemplified by blue or green maintenance of surface project, the determination method of optimal maintenance timing in the embodiment of the present invention is illustrated.
1st, the IRI performance models established before and after each maintenance project implementation, using linear model, and model is with very high
Degree of fitting, as shown in Figures 2 and 3, pass through IRI values and corresponding time tk2、b2、k1、b1Value, and record this 168 support
Shield project k2、b2、k1、b1Value.
2nd, the k in step 1 is passed through2、b2、k1、b1Corresponding value, respectively with k2、b2For dependent variable, k1、b1Established for independent variable
Multiple linear regression model, as shown in Fig. 4~Fig. 5, and k is determined2、b2With k1、b1Relational expression：
k2=-0.008+0.178 × k1+0.0429×b1
b2=0.511-1.075 × k1+0.512×b1
3rd, the maintenance threshold value for taking IRI is 2.7m/km, k10.01,0.02,0.03 is taken respectively ..., 0.1, b10.9 is taken respectively,
1.1,1.3 ..., 3.7, now conserve benefit：
According to different k1And b1Value calculates corresponding maintenance benefit respectively.
4th, with k1、b1For x, y-axis, Benefit is z-axis, draws 3D figures, as indicated with 6, can be sent out with reference to tables of data and 3D figures
It is existing：Work as k1When >=0.06, Benefit is in b1It is intended to obtain maximum when zero；Work as k1When≤0.06, Benefit is in b1=2.0
Maximum is obtained during~2.9m/km.It can be inferred that：When actually IRI decay rate of the maintenance road surface before maintenance is higher than
During 0.06m/km/year, more early maintenance is better；During less than 0.06m/km/year, optimal maintenance timing IRI positioned at 2.0~
Between 2.9m/km.
As above example gives a kind of maintenance timing using IRI as performance indications and determines method, other different performance indexs
Or different performance model is similar, repeats no more.
Claims (5)
1. a kind of optimal maintenance timing in road surface based on Pavement performance model before and after maintenance determines method, it is characterised in that including
Following steps：
1) determine that the front and rear Pavement Performance of maintenance declines according to a certain pavement detection performance indications over the years of actual maintenance of surface project
Varying model；
2) contact is established between model parameter before and after maintenance, the road surface after maintenance is predicted with the Pavement performance model before maintenance
Performance model；
3) maintenance benefit calculation model is determined：Maintenance benefit is defined as conserving front and rear performance curve and conserves the envelope between threshold value
Area, and with the function representation of performance model parameter before maintenance；
4) value of parameter is corresponded to during determination maintenance benefit maximum, with the optimal maintenance timing of this determination, is determined for highway maintenance management
Plan provides foundation.
2. the optimal maintenance timing in the road surface according to claim 1 based on Pavement performance model before and after maintenance determines method,
It is characterized in that：Maintenance Benefit Calculation is as follows in the step 3)：
Benefit=∫ (yTh-yAfter(t))-∫(yTh-yBefore(t))
Wherein Benefit is to conserve benefit, yThTo conserve threshold value, yBefore(t)、yAfter(t) refer to for detection performance before and after maintenance
Mark, t are to be open to traffic the time.
3. the optimal maintenance timing in the road surface according to claim 2 based on Pavement performance model before and after maintenance determines method,
It is characterized in that：Decay model is represented by before being conserved in the step 1)：
y1=k1t+b1
Wherein y1For the numerical value of detection performance index before maintenance, k1For Pavement Performance decay rate, b before maintenance1To conserve eve
Detection performance index value, t are the time interval between maintenance node, and t is negative before maintenance, is just after maintenance；
Decay model section is expressed as after being conserved in the step 1)：
y2=k2t+b2
Wherein y2For the numerical value of detection performance index after maintenance, k2For road surface Performance Decay speed, b after maintenance2For a moment after maintenance
Detection performance index value, t are the time interval between maintenance node, and t is negative before maintenance, is just after maintenance.
4. the optimal maintenance timing in the road surface according to claim 3 based on Pavement performance model before and after maintenance determines method,
It is characterized in that：The contact that the front and rear model parameter of maintenance is established in step 2) can use following function representation：
k2=α0+α1k1+α2b1
b2=β0+β1k1+β2b1
Wherein α0、α1、α2、β0、β1、β2For fitting parameter；
Now, maintenance benefit can be expressed as the function of performance model parameter before conserving in step 3)：
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Now, by above-mentioned steps 3) in establish model parameter can be in k1Obtained when taking different value as described in step 4)
Corresponding parameter b when Benefit reaches maximum1Value, with the optimal maintenance timing of this determination.
5. the optimal maintenance timing in the road surface according to claim 1 based on Pavement performance model before and after maintenance determines method,
It is characterized in that：It is described detection pavement performance index include international roughness index, rutting depth, RQI, PCI, RDI, SFC,
One of which in PSSI, PQI.
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Cited By (6)
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| CN108596396A (en) * | 2018-04-28 | 2018-09-28 | 中国公路工程咨询集团有限公司 | One kind is based on the modified pavement performance prediction of maintenance history and maintenance process and device |
| CN108764650A (en) * | 2018-04-28 | 2018-11-06 | 中国公路工程咨询集团有限公司 | A kind of processing method and processing device for netting the investment of grade highway maintenance |
| CN109978412A (en) * | 2019-04-10 | 2019-07-05 | 东南大学 | Choose the evaluation method of validity in a kind of asphalt pavement conserving section |
| CN111062583A (en) * | 2019-11-28 | 2020-04-24 | 武汉理工大学 | Asphalt pavement historical maintenance benefit quantitative evaluation method based on principal component analysis method |
| CN112613681A (en) * | 2020-12-29 | 2021-04-06 | 上海同陆云交通科技有限公司 | Road network low-energy-consumption full-life-cycle maintenance scheme optimization method |
| CN112632841A (en) * | 2020-12-22 | 2021-04-09 | 交通运输部科学研究院 | Road surface long-term performance prediction method and device |
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| CN111062583A (en) * | 2019-11-28 | 2020-04-24 | 武汉理工大学 | Asphalt pavement historical maintenance benefit quantitative evaluation method based on principal component analysis method |
| CN111062583B (en) * | 2019-11-28 | 2023-01-17 | 武汉理工大学 | Asphalt pavement historical maintenance benefit quantitative evaluation method based on principal component analysis method |
| CN112632841A (en) * | 2020-12-22 | 2021-04-09 | 交通运输部科学研究院 | Road surface long-term performance prediction method and device |
| CN112613681A (en) * | 2020-12-29 | 2021-04-06 | 上海同陆云交通科技有限公司 | Road network low-energy-consumption full-life-cycle maintenance scheme optimization method |
| CN112613681B (en) * | 2020-12-29 | 2022-03-08 | 上海同陆云交通科技有限公司 | Road network low-energy-consumption full-life-cycle maintenance scheme optimization method |
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