CN107609757B - Method for evaluating long-term benefit of pavement maintenance - Google Patents

Method for evaluating long-term benefit of pavement maintenance Download PDF

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CN107609757B
CN107609757B CN201710749007.7A CN201710749007A CN107609757B CN 107609757 B CN107609757 B CN 107609757B CN 201710749007 A CN201710749007 A CN 201710749007A CN 107609757 B CN107609757 B CN 107609757B
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maintenance
area
benefit
time
performance
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CN107609757A (en
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董侨
陈雪琴
顾兴宇
姚琳怡
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Southeast University
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Abstract

The invention discloses a method for evaluating long-term benefit of pavement maintenance, which comprises the following steps of firstly, determining standard time of long-term benefit analysis according to the service life of observed maintenance measures and a maintenance plan; then, calculating the performance curve and the time axis envelope area of each maintenance measure according to the maintenance measure pavement performance indexes detected over the years, wherein the performance indexes comprise non-increasing indexes and non-decreasing indexes, the performance curve and the time axis envelope area are used as the reference benefit area of the maintenance measure, and the reference benefit area is converted into the performance curve and the time axis envelope area under the standard service life; and finally, comparing the long-term benefits of different maintenance measures based on the equivalent benefit area, and providing an important basis for highway maintenance management decision. The method can consider the condition of pavement performance data loss before maintenance, can calculate two conditions of pavement performance increasing or decreasing along with time, can normalize the different service lives of maintenance measures, and improves the comparability of the different maintenance measures.

Description

Method for evaluating long-term benefit of pavement maintenance
Technical Field
The invention relates to a highway evaluation and management technology, in particular to a method for evaluating long-term benefit of pavement maintenance, and belongs to the technical field of traffic and transportation subjects.
Background
In order to ensure the safety, functionality and structure of the road, the road needs to be maintained in time. The key of the highway maintenance management decision is to select a reasonable maintenance method and time, so that the benefits of various used maintenance methods need to be evaluated. The traditional maintenance benefit evaluation method comprises the following steps: the improvement of the road surface performance, the rate of decay of the road surface performance after maintenance, the long-term average road surface performance, the service life of the maintenance measure, the life cycle cost of the maintenance measure, and the area between the original road surface performance curve, the road surface performance curve after maintenance and the maintenance threshold value. Among them, what can fully evaluate the curing benefit is the area of comprehensive curing performance and the area-benefit-cost ratio of curing cost.
One drawback of using the "area method" to evaluate the maintenance benefits is that the service lives or observation times of different maintenance projects are not necessarily the same, which makes the maintenance benefits of different maintenance measures hardly comparable. Another drawback is that the traditional "area method" requires not only pavement performance data after maintenance, but also pavement performance data before maintenance.
Disclosure of Invention
The purpose of the invention is as follows: in order to overcome the defects of the traditional area method, the invention aims to provide a method for comparing the long-term benefits of pavement maintenance of different maintenance measures by adopting an equivalent area method and provide an important basis for the decision of highway maintenance management.
The technical scheme is as follows: in order to achieve the purpose, the invention adopts the following technical scheme: a method for evaluating long-term benefits of pavement maintenance is characterized by comprising the following steps:
(1) determining standard time of long-term benefit analysis according to the observed service life of maintenance measures and a maintenance plan;
(2) calculating a performance curve and a time axis envelope area of each maintenance measure according to the maintenance measure pavement performance index detected over the years to serve as a reference benefit area, and converting the reference benefit area into the performance curve and the time axis envelope area under the standard service life to serve as an equivalent benefit area;
(3) and evaluating the long-term benefits of pavement maintenance of different maintenance measures based on the equivalent benefit area.
Preferably, the standard time is the average service life or the expected service life of the maintenance measures.
Preferably, the road surface performance index comprises one or more of international flatness index, international rut depth, RQI, PCI, RDI, SFC, PSSI, PQI.
Preferably, in the step (2), the method for calculating the equivalent effective area of the performance index of the certain road of the certain maintenance measure includes:
(2.1) drawing a line graph of the relation between the pavement performance index and maintenance implementation time, determining a performance index threshold, and calculating the area surrounded by the line graph and a threshold horizontal line;
(2.2) drawing a trapezoid with an area equal to the area obtained in step (2.1), the trapezoid being represented by tnIs high, with tnThe difference between the corresponding y value and the threshold is a certain bottom edge; wherein t isnIndicating the life of the maintenance measureOr the final observation time;
(2.3) calculating 0-t in the trapezoid or in the extended graph of the trapezoid in the direction of the time axissThe area enclosed between the two is the standard time tsCorresponding equivalent effective area.
Preferably, for the non-decreasing index:
equivalent area of benefit
Figure GDA0002505852420000021
Wherein the content of the first and second substances,
Figure GDA0002505852420000022
yuis an upper threshold of the index, tiService time, y, of a maintenance measure at the i-th inspectioniIs the performance index value at the i-th detection, ynIs the performance index value at the time of the nth detection, t0＝0，y0The initial value of the performance index is 0 (such as cracks or ruts), or the index value detected for the first time is used for replacing the initial value (such as flatness).
Preferably, for the non-increasing index:
equivalent area of benefit
Figure GDA0002505852420000023
Wherein the content of the first and second substances,
Figure GDA0002505852420000024
ylis the lower threshold of the index, t0＝0，y0The initial value of the performance index is the full score (such as PCI and RDI) or is replaced by the index value detected for the first time (such as the anti-slip coefficient).
Has the advantages that: compared with the prior art, the equivalent area benefit evaluation method can consider the condition of pavement performance data loss before maintenance, accurately quantize the benefits of different maintenance measures under the conditions of different service time and shorter observation period of the maintenance measures, and perform transverse comparison. The calculation result of the equivalent area method can be used for sequencing the excellence of the maintenance measures and can be used as a dependent variable of factor analysis for determining a reasonable decision factor. The method can provide a basis for road maintenance management decision and road network level maintenance optimization.
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FIG. 1 is a schematic diagram of equivalent area calculation for an observation time of a non-subtractive indicator not less than a standard service time;
FIG. 2 is a schematic diagram of equivalent area calculations for non-subtractive indicators having an observed time less than the standard service time;
FIG. 3 is a schematic diagram of equivalent area calculation for observation time of non-incremental indicators not less than standard service time;
FIG. 4 is a schematic diagram of equivalent area calculation for non-incremental indicators with observed time less than standard service time;
FIG. 5 is a schematic diagram illustrating equivalent area calculation of example 1 in the embodiment of the present invention;
FIG. 6 is a schematic diagram illustrating equivalent area calculation of example 2 in the embodiment of the present invention;
FIG. 7 is a schematic diagram illustrating equivalent area calculation of example 3 in the embodiment of the present invention;
FIG. 8 is a schematic diagram of equivalent area calculation of example 4 in the embodiment of the present invention;
FIG. 9 is a schematic diagram illustrating a result of calculating benefits of different curing measures by an equivalent benefit area method according to an embodiment of the present invention.
Detailed Description
The invention is further described with reference to the following figures and specific embodiments.
In order to compare the benefits of maintenance measures with different lives, the embodiment of the invention discloses a novel method for evaluating the long-term benefit of pavement maintenance by adopting an equivalent area. The method is used for comparing the long-term benefits of different maintenance measures and providing an important basis for highway maintenance management decision. Firstly, determining standard time of long-term benefit analysis according to the service life of the observed maintenance measures and the maintenance plan. And then, calculating the performance curve and the time axis envelope area of each maintenance measure according to the maintenance measure pavement performance indexes detected over the years, wherein the performance indexes comprise non-increasing indexes and non-decreasing indexes, the performance curve and the time axis envelope area are used as the reference benefit area of the maintenance measure, and the reference benefit area is converted into the performance curve and the time axis envelope area under the standard service life. And finally, evaluating the long-term benefits of pavement maintenance of different maintenance measures based on the equivalent benefit area. The equivalent area method provided by the embodiment is suitable for the situations of lack of road surface performance data before maintenance, short continuous detection time after maintenance and large service life difference of maintenance measures. The method assumes that the pavement performance index reaches the value at the end of the observation period through an approximate linear decay process, and adopts standard service time to calculate the benefits of maintenance projects with different service lives or observation times.
The purpose of the equivalent area method is to bring a large number of road sections which are not subjected to secondary maintenance into analysis, accurately quantify the benefits of different maintenance measures under the conditions of different service time and shorter observation period of the maintenance measures, and perform transverse comparison. The calculation result of the equivalent area method can be used for sequencing the excellence of the maintenance measures and can be used as a dependent variable of factor analysis for determining a reasonable decision factor.
Fig. 1-4 are schematic diagrams of equivalent area method calculations. In the figure, y represents a road surface performance index, tiIndicates the time of execution of a curing measure at the i-th inspection, tnIndicating the life or observation time, t, of the maintenance measuresThe adopted standard service time is shown, the horizontal dotted line shows the upper threshold value and the lower threshold value of the performance index, and the area of the oblique line area shows the equivalent benefit area.
The pavement performance evaluation indexes comprise international flatness indexes, rut depths and technical indexes RQI, PCI, RDI, SFC, PSSI and PQI which are recommended in the road technical condition evaluation Standard (JTG H20-2007) of China and range from 0 to 100. When the method is implemented, one or more of the indexes can be selected to evaluate different maintenance measures according to the actual observation data condition. The equivalent benefit area calculation method for a certain road performance index of a specific maintenance measure comprises the following steps:
1. and drawing a line graph of the relationship between the road surface performance index and the maintenance implementation time, determining upper (aiming at non-reduction indexes, such as international flatness index, international rut depth and the like) and lower (aiming at non-increase indexes, such as PCI, RQI, RDI and the like) thresholds of the performance index, and calculating the sum of the area of each small trapezoid surrounded by the line graph and a threshold horizontal line. The threshold value is a critical value of the road surface needing maintenance and repair and can be determined according to the road grade and engineering requirements. The reference threshold includes: the international flatness can be set to be 2.24m/km, the track depth is 15mm, and the RQI, PCI, RDI, SFC, PSSI and PQI are between 80 and 85.
2. Drawing a large trapezoid with the same area as the above, the large trapezoid being denoted by tnIs high, with tnThe difference between the corresponding y value and the threshold is a certain bottom edge;
3. according to the determined standard service time tsCalculating 0-t in the large trapezoid or its extended graph towards the time axis directionsThe area enclosed between them is called the equivalent effective area. Standard service time tsAnd determining according to the observed service life of the maintenance measures and the maintenance plan, wherein the average service life or the expected service life of the maintenance measures can be taken, and is generally 3-8 years. Equations 1-4 are equations for calculating the equivalent area, where Eff1,Eff2Refers to the initial curing benefit area (Eff)1For non-decreasing indicators, Eff2For non-increasing index), Eff1e,Eff2eRefers to the equivalent effective area.
4. According to the calculated equivalent benefit area Eff1eOr Eff2eThe benefits of different maintenance measures can be compared and distinguished.
Figure GDA0002505852420000041
Figure GDA0002505852420000042
Figure GDA0002505852420000043
Figure GDA0002505852420000044
In the formula: eff1,Eff2Initial curing benefit area (Eff)1For non-decreasing indicators, Eff2For non-increasing indicators); eff1e,Eff2e-an equivalent benefit area; y isuUpper threshold (for non-subtractive performance indicators); y islLower threshold (for non-increasing performance indicator); t is ti-service time of a maintenance measure at the i-th detection; y isi-a value of performance index at the i-th inspection; t is tnThe life of the maintenance measure (i.e. the actual service time) or the final observation time; y isnThe performance index value at the nth detection (the performance index value at the last detection before a certain maintenance measure fails, or the performance index value at the last detection after a maintenance measure fails); t is tsStandard service time, t0——t 00 is the initial time, y0-the value of the performance index at the initial moment, for the non-decreasing index y0The value is 0 (such as crack or rut), or replaced by the first detected index value (such as flatness). For non-increasing index y0Taking the value as the full score (such as PCI and RDI) or replacing the full score with the index value detected for the first time (such as the anti-slip coefficient). .
The calculation of the equivalent benefit area and the evaluation of the long-term benefit in the embodiment of the invention are specifically described below by taking the performance indexes of different maintenance measures observed on several road sections as examples.
Example 1:
TABLE 1 AC-13 overlay
Figure GDA0002505852420000051
A line graph of the relationship between the road surface performance index and the maintenance implementation time, which is drawn according to the observation data, is shown in fig. 5, and the calculation results of the initial maintenance benefit area and the equivalent benefit area are as follows:
Figure GDA0002505852420000052
Figure GDA0002505852420000053
example 2:
TABLE 2 AC-16 overlay
Figure GDA0002505852420000054
A line graph of the relationship between the road surface performance index and the maintenance implementation time, which is drawn according to the observation data, is shown in fig. 6, and the calculation results of the initial maintenance benefit area and the equivalent benefit area are as follows:
Figure GDA0002505852420000055
Figure GDA0002505852420000056
example 3:
TABLE 3 SMA-13 overlay
Figure GDA0002505852420000057
A line graph of the relationship between the road surface performance index and the maintenance implementation time, which is drawn according to the observation data, is shown in fig. 7, and the calculation results of the initial maintenance benefit area and the equivalent benefit area are as follows:
Figure GDA0002505852420000061
Figure GDA0002505852420000062
example 4:
TABLE 4 ultra-thin wearing layer
Figure GDA0002505852420000063
A line graph of the relationship between the road surface performance index and the maintenance implementation time, which is drawn according to the observation data, is shown in fig. 8, and the calculation results of the initial maintenance benefit area and the equivalent benefit area are as follows:
Figure GDA0002505852420000064
Figure GDA0002505852420000065
the calculation of the equivalent benefit area under four typical conditions is given by the above four examples, and other different performance indexes or different maintenance measures are similar and are not described again.
FIG. 9 is a graph of equivalent benefit area results of 6 maintenance measures calculated respectively under selection of three performance evaluation indexes, namely PCI, RQI and RDI. It can be seen that for the section investigated, when evaluated by the pavement comprehensive disease index PCI, SMA13> AC-13> micro-surfacing > ultra-thin abrasion > thermal regeneration > AC-16; when the road surface running quality index RQI is used for evaluation, the AC-13 is more than SMA13, the ultrathin abrasion is more than the thermal regeneration is more than the AC-16, and the micro-surfacing is more than the micro-surfacing; when evaluated by the rut depth index RDI, the SMA13 is more than AC-13 and more than AC-16, and the ultrathin abrasion is more than the heat regeneration.

Claims (3)

1. A method for evaluating long-term benefits of pavement maintenance is characterized by comprising the following steps:
(1) determining standard time of long-term benefit analysis according to the observed service life of maintenance measures and a maintenance plan;
(2) calculating a performance curve and a time axis envelope area of each maintenance measure according to the maintenance measure pavement performance index detected over the years to serve as a reference benefit area, and converting the reference benefit area into the performance curve and the time axis envelope area under the standard service life to serve as an equivalent benefit area; the road surface performance indexes comprise non-reduction type and non-increase type, and the equivalent benefit area calculation method of a certain road surface performance index of a certain maintenance measure comprises the following steps:
(2.1) drawing a line graph of the relation between the pavement performance index and maintenance implementation time, determining a performance index threshold, and calculating the area surrounded by the line graph and a threshold horizontal line;
(2.2) drawing a trapezoid with an area equal to the area obtained in step (2.1), the trapezoid being represented by tnIs high, with tnThe difference between the corresponding y value and the threshold is a certain bottom edge; wherein t isnIndicating the life or final observed time of the maintenance action;
(2.3) calculating 0-t in the trapezoid or in the extended graph of the trapezoid in the direction of the time axissThe area enclosed between the two is the standard time tsThe corresponding equivalent benefit area;
for non-subtractive index, equivalent effective area
Figure FDA0002505852410000011
Wherein the content of the first and second substances,
Figure FDA0002505852410000012
yuis an upper threshold of the index, tiService time, y, of a maintenance measure at the i-th inspectioniIs the performance index value at the i-th detection, ynIs the performance index value at the time of the nth detection, t0＝0，y0Taking the value of the initial value of the performance index as 0 or replacing the initial value with the index value detected for the first time;
for non-increasing index, equivalent benefit area
Figure FDA0002505852410000013
Wherein the content of the first and second substances,
Figure FDA0002505852410000014
ylis an index lower threshold;
(3) and evaluating the long-term benefits of pavement maintenance of different maintenance measures based on the equivalent benefit area.
2. The method for evaluating the long-term benefit of pavement maintenance according to claim 1, wherein the standard time is the average service life or the expected service life of maintenance measures.
3. The method for evaluating long-term benefits of pavement maintenance according to claim 1, wherein the pavement performance indicators comprise one or more of international flatness index, rutting depth, RQI, PCI, RDI, SFC, PSSI, PQI.
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