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Article in Transportation Research Record Journal of the Transportation Research Board · July 2015

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Prata3, Ernesto Ferreira Nobre Júnior4 9

10

1

Engineer, MSc 11

Phone: +5584 88298327 12

eemoreira@gmail.com 13

Transportation Infrastructure National Department 14

15

2

Graduate Student 16

Phone: +5585 87586203 17

edjanesoares@det.ufc.br 18

Universidade Federal do Ceará 19

Campus do Pici - Bloco 703 - CEP 60455-760 - Fortaleza – CE – Brasil 20

CORRESPONDING AUTHOR 21

22

3

Assistant Professor, PhD 23

Phone: +5585 33669607 24

baprata@ufc.br 25

Universidade Federal do Ceará 26

Campus do Pici - Bloco 703 - CEP 60455-760 - Fortaleza – CE - Brasil 27

28

4

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Phone: +5585 33669488 (r.223) 1

nobre@ufc.br 2

Universidade Federal do Ceará 3

Campus do Pici - Bloco 703 - CEP 60455-760 - Fortaleza – CE – Brasil 4

5

6

7

ABSTRACT

8

This paper presents an innovative model for the assessment of surface conditions in low volume roads. The

9

proposed approach focuses on intemperate weather influence (rain, wind, etc.), traffic, soil type and relief in the

10

reduction of unpaved road level of service. It treats on the evolution of distress present in unpaved roads. It intends

11

to improve the performance evaluation methodology for surface conditions proposed by (1), the ALYNO Method. A

12

case study is presented for the municipality of Aquiraz, Ceará, Brazil. A mathematical model was developed in

13

order to forecast a performance evaluation model using a topographical survey of unpaved roads, which resulted in

14

the modified method entitled ALYNOMO. Main performance evaluation methods of surface conditions for unpaved

15

roads are also studied. From the case study, several considerations are made on the geometric evolution of the

16

distress according to usefulness of the studied branch. This research contributes for the improvement of the unpaved

17

performance evaluation process and the ALYNO Method, proposing a model to forecast the performance for regular

18

and appropriate unpaved roads. It is important to emphasize the need of the rational maintenance of this kind of

19

road.

20

1. INTRODUCTION

21

2

22

23

The authors (2) call attention to the fact that transportation systems do not last forever. It 24

is due to lack of attention to the roads, paved or not, that in developing countries the 25

precariousness and inefficiency of transport systems represent a major obstacle to its 26

development. After all, without a transportation system that fits with local and regional 27

characteristics, there will be an increase in the cost of transport and consequently, agricultural 28

and industrial products will become more expensive, making them less attractive to consumer 29

(4)

In Ceará, 90% of the road network is unpaved, and most of it is under the jurisdiction of 1

the 184 counties that do not have a pavement management system. This situation creates great 2

difficulties for the flow of inputs and products of rural areas, which reinforces and justifies the 3

need for studies in this field of knowledge. 4

It is worth pointing out that while the budgetary reality of many municipalities is 5

insecure, the abandonment of unpaved roads inevitably lead to higher costs when the necessary 6

rehabilitation is carried out to improve their functionality, mainly because the degradation 7

process of a road grows exponentially with time, and consequently, with the necessary resources 8

for their rehabilitation, a factor that increases the Logistics costs in Brazil. 9

The ALYNO method developed by (1) was used in this research, but improvements were 10

made and a model of performance prediction as to the usefulness of unpaved roads was 11

proposed, called ALYNOMO method. 12

In order to accomplish the development of efficient methods for the classification of 13

surface condition in low volume roads, several approaches have been reported in the literature. 14

These methods can be classified into objective and subjective approaches. The latter have 15

reached a greater reception from the planners and decision makers because the subjective 16

methods consider the calculation of condition indexes as a way to measure the overall quality of 17

a rolling surface. 18

Among the subjective methods, one can highlight the proposed approach developed by 19

(3). Among the objective methods developed for pavement management systems for low volume 20

roads, one can highpoint the proposed methodology by (4), which is included in the technical 21

manual by the U. S. Army Corps of Engineers – USACE (5 and 6), as well as the Gravel-22

PAVER system, developed by the Wisconsin University (7). 23

A comparison between the method used by USACE and the ALYNOMO is presented by 24

(8). This method is applied in three stretches in the city of Aquiraz, Ceará, Brazil. As 25

conclusions, one can observe that, despite the high level of complexity of the ALYNOMO 26

method for the surveying of the running surface conditions, such method proved to be closer to 27

reality. 28

This paper aims at presenting an innovative evaluation method for surface conditions for 29

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history of surface degradation of the studied segment considering hidrology, traffic, geotechnics 1

and topography. 2

The rest of this paper is structured as follows. In the second section, the proposed 3

approach is presented. In the third section, the new method is applied and the results are 4

presented, analyzed and discussed. The fourth section presents some conclusions and suggestions 5

for future research. 6

2. PROPOSED APPROACH

7

3

8

There is not a standard method for assessing and classifying unpaved roads., in the case 9

study of this research, the method proposed by (1), called ALYNO method was adopted. Based 10

on high precision topographic surveys, the method proved to be easy to use and understand. This 11

method presented the rating of the pavement surface conditions which showed to be easily done 12

in the region of Aquiraz. However, some modifications were necessary, without loss of precision 13

in it. Thus, the ALYNOMO method was created. 14

These adaptations occurred mainly in the isolation of variables of geometric conditions 15

and occurrences of geotechnical materials, leading to the inclusion of surveys of geotechnical 16

data and the definition of topographic sections in the study area. When calculating the density 17

and severity of the registered distresses, the procedure of ALYNOMO method is the same of the 18

ALYNO method. The defects considered in this study and observed in the monitored sections are 19

those used in (1). 20

It is important to note that in the ALYNO method, the final results are calculated from the 21

resulting function, i.e., from the influence of the combined action on all the factors that lead to 22

degradation of the usefulness of the road, while the final result of the ALYNOMO method is 23

calculated based on the types of materials found and relief of the study area, as shown in the 24

following items: 25

a) The definition of the sections is based on the geotechnical classification of the different 26

soil types found, according to their characteristics and the subsequent creation of 27

geotechnical zones (GZ), as shown in Figure 1. With the creation of GZ's, the variable of 28

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b) There is also a subdivision of GZ's. This subdivision is based on the sharp variation of 1

the longitudinal ramps of the road axis, thus creating the topographical zones (TZ). Each 2

TZ features a unique value of longitudinal ramp, accepting little variations, for more or 3

for less. So each TZ is studied as a separate section, with straight length depending on the 4

length of the longitudinal ramp considered, in other words, there is great variability in 5

length between the TZ's. With the creation of TZ's, the topographical variable 6

(longitudinal ramp of the road axis) also becomes constant throughout the length of each 7

TZ. 8

c) cadastral topographic surveying with millimeter precision is obtained from a total 9

station. The topographic survey is performed in the analyzed area and in places in which 10

the distresses were found. 11

d) Classification of distresses found, according the type and georeferenced location 12

within each TZ. 13

e) A vector representation of all sections' TZ's with their respective distresses for 14

subsequent generation of Digital Terrain Model (DTM) and Digital Model of Distresses 15

(DMD) is accomplished. 16

f) The measurement of the areas of distresses found is done by means of a topographic 17

app, through the area calculation for georeferenced coordinates (Gauss method). The 18

calculation of the depth of such distresses is given by simply counting the contour lines 19

inserted into the distress area. These contour lines are all spaced one centimeter apart, 20

facilitating the assignment of values to the Level of Individual Severity (LIS). This value 21

is found depending on the type of distress adopted. The attributes of severity "Low", 22

"Medium" and "High" correspond to the values 1, 2 and 3, respectively. 23

g)Once found the LIS of each type of distress in topographic zone, it is time to calculate 24

the average for the type of distress. This average is the Average Severity in a 25

topographical zone (AS). This value also varies from 0 (zero) to 3 (three). 26

4

27

h) Then, it is time to calculate the Relative Surface Density of each Distress of 28

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type of distress divided by the total area or total length of the topographical zone where 1

the distresses are inserted. The RS is calculated for each type of defect. 2

i) Once the values for AS and RS for each type of defect are found, they are multiplied to 3

provide an indicative value of the relative severity of distresses in a topographical area. 4

This value is expressed in values to three decimal places, ranging from 0 (zero) to 3 5

(three), and is called the index of relative usefulness by topographical zone (ISR). 6

j) Each distress has its own ISR in the section. In a particular section in study with two or 7

more types of distresses, the section has two or more ISR's. According to (1), the index 8

that measures the severity condition which the section under study is subjected to is the 9

largest ISR found therein. This higher value of ISR is called Index of the Condition of the 10

Topographical Zone (IC), whose classification attributes are presented in Table 1. 11

k) In accordance with the technical literature, the index of usefulness in a section 12

measures how this section is functional and comfortable for traffic. Thus, it is possible to 13

conclude that the usefulness is inversely proportional to the severity. In this work the 14

value of usefulness ranging from 0 (zero) to 3 (three) is expressed in three decimal places. 15

This value was called Index of the Usefulness of the Topographical Zone (IS) whose 16

classification attributes are listed in Table 2. 17

For the phase of analysis and measurement of distresses using the data obtained from 18

topographic survey, a CAD platform capable of receiving this data and treat them 19

topographically in vector form is necessary . From the periodic monitoring of the studied area, 20

the data obtained can be worked in geographical information systems. 21

Knowing the seasonal changes of the sections, this tool can be very useful to provide 22

priority sections, which are usually more damaged during rainy periods. This whole process is 23

fundamental to the decision maker, who can manage the unpaved road network and make 24

decisions that meet their needs. Is important to emphasize that the parameters used in this 25

research satisfy the local conditions and require adaptation studies to be applied in other regions. 26

27

3. CASE STUDY: THE MUNICIPALITY OF AQUIRAZ

28

29

3.1 Initial Considerations

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1

The municipality has an area of 482.8 km ², located in 32.30 kilometers from the city of 2

Fortaleza, the capital of Ceará. 3

The study area was approximately 2 km long, which allowed us to consider constant both 4

the rainfall and traffic. The rainfall for the study period was 946.20 mm. During the topographic 5

survey a traffic count was also taken, getting 47 vehicles per day, among them: passenger cars, 6

vans, small and medium trucks and dump trucks. 7

To better execution and detailing of the studies, the area was divided into three polygonal 8

called AQZ 01, AQZ 02 and AQZ 03, whose demarcation was performed with the aid of a 9

differential GPS with submeter accuracy (see Figure 1). Approximately 2,500 points were 10

collected in the periodic topographic surveys in polygonal. A total of approximately 10,000 11

points were collected; they were subsequently georeferenced and the proposed

12

model was checked by Correia et al. (

2

). .

13

After the completion of the data collection, they were downloaded to the computer 14

directly in the software of topographic data analysis, Topograph System 98 SE. This app is used 15

to download, process, and generate the DTM and the DMD, analyze and deliver relevant reports 16

of the results, generating full reports of topographic surveys. 17

With the full reports downloaded, the polygonal generated by the surveys was calculated. 18

The average relative error that was found in the polygonal was 1:3.053.827, which means an 19

average error of 1 (one) mm for every 3.054 km of survey was obtained, which is approximately 20

30 times lower than the accepted by the Brazilian legislation. After closing the polygonal, the 21

coordinates of the irradiated points were calculated . 22

With the coordinates of the points of the polygonal station and irradiated points, the 23

Digital Terrain Model (DTM) and Digital Model of Distressed (DMD) were generated in 24

triangular mesh for later obtaining the contour lines of the terrain, equidistant from 1 (one) cm. 25

With a visual inspection, it was possible to notice the occurrence of various types of soils 26

in the study area. Based on this variety, a tactile-visual survey of these materials was made, 27

resulting in a primary qualification and location of the start and end for each soil type found. 28

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material enough to run each borehole (approximately 50 kg) was collected in order to do the 1

characterization tests and then do the geotechnical classification. 2

In this research, the geotechnical classification method chosen was the Highway Research 3

Board (HRB). The reason for choosing this method was simplicity and its diffusion in the 4

technical environment. Is important to emphasize that the grading method has its limitations of 5

applicability in the geotechnical classification of Brazilian soils. The following geotechnical 6

laboratory tests for purposes of HRB classification were performed: Determination of the 7

consistency limits and Particle Size Analysis of Soil. Through these data, regions with the same 8

kinds of soil were delimited, thus creating the Geotechnical Zones (GZ). 9

10

3.2 Modeling of Performance

11

12

The proposed performance model is based on the calculation of the following indexes: 13

a) Level of Individual Severity (LIS): This level is determined by calculating the depth of 14

each distress type registered. With the depth of the distress calculated, the severity is 15

obtained consulting the severity table corresponding to the type of distress; 16

b) Average Severity in a topographical zone (AS): this severity is obtained from the 17

simple arithmetic average of the LIS for type of distress and for all distresses; 18

c) Relative Surface density of each distress of topographical zone (RS): this density is the 19

result of the sum of the areas or lengths of each type of distress divided by the total area 20

or total length of the topographical zone 21

d) Index of the usefulness of the topographical zone (IS): this index is the result of 22

multiplication between AS and RS ; 23

6

24

e) Index of the condition of the topographical zone (IC): this index is the largest of the 25

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f) Index of the usefulness of the topographical zone (IS): This index is calculated 1

subtracting the IC from the maximum usefulness possible (IS = 3 - IC). 2

The study area is composed of 29 topographical zones. For each topographic area a 3

spreadsheet with the indexes mentioned above was made for each distress type registered during 4

the topographic surveys in addition to their respective performance modeling. 5

In this work the following types of performance equations were obtained: 18 straight 6

lines equations and 11 parabolic equations (examples in Figure 2) for a total of 29 equations, 7

which means one equation for each of the 29 topographical zones considered that generate the 8

study area of this work. According to the technical literature, the likely mathematical model of a 9

performance curve is a parabola. The parabolic equations obtained corroborate the above 10

statement. However, the 18 equations of the straight lines obtained are special cases. 11

The quadratic equation or equation of degree 2 is an equation of the type: 12

y = ax2+ bx+ c (1)

13

Where a, b and c are the coefficients and have distinct geometric properties into the 14

equation. These properties are: 15

a) Coefficient a is the coefficient of 'openness' of the equation, in other words, how much 16

the parabolic curve is smooth or not. Thus, the closer to zero the value is, the smoother 17

the curve and, consequently, the section under study deteriorates more slowly. Likewise 18

it is possible to say that as this coefficient moves away from zero, the curve is less 19

smooth and, consequently, the section under study will deteriorate faster. The negative 20

sign of coefficient a means that the concavity of the curve is downwards. The positive 21

sign means that the concavity is upward; 22

b) Coefficient b represents the point of maximum value of the curve displaced as relative 23

to the ordinate axis (y axis), that is, the horizontal distance (x coordinate) of the point of 24

maximum value. When the value of coefficient b is negative, the x coordinate is positive 25

and when it is positive, the x coordinate will be negative; 26

c) Coefficient c represents the point where the parabolic curve intersects the ordinate axis 27

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it is negative, the y coordinate will be negative, representing the highest level of 1

usefulness obtained by survey executed. 2

After associating the HRB classification obtained with the location of points where the 3

occurrences of the same type of soil were initiated and finalized, areas with the same 4

geotechnical behavior were delineated. These areas simply named geotechnical zones (GZ) for 5

this study. 6

7

3.3 Analysis and discussion of results

8

9

In GZ - 01 it was possible to perceive the predominance of one type of distress in all its 10

extension. In this case, the defect was Inadequate Transversal Cross Section. Because of that fact 11

the occurrence of other types of distress not to influence the calculation of the equation, which 12

represents the performance modeling of the section under study. As a result the parabolic 13

equation becomes a straight line equation, ever constant and equaling the value of IS of the 14

section under study, in this case it is equal to 2. 15

Table 3 shows the coefficients of the parabolic equation as a function of the values of the 16

longitudinal ramp of each topographic zone for the Geotechnical Zone 1 (GZ - 01). 17

GZ - 02 has only a topographical zone due to the fact that the section presents a nearly 18

constant longitudinal slope. There is not, however, the predominance of one type of defect. Its 19

cross section has camber enough to drain the water from rainfall without difficulties. The type of 20

soil present in the subgrade in this geotechnical zone was classified by the HRB as A-1-b. Table 21

3 also shows the coefficients of the parabolic equation based on the values of ramp of the 22

topographic zone 10 (TZ - 10). 23

Analyzing these coefficients, it is checked that: 24

a) Coefficient a is negative. Therefore, the parabola is concave down. Its value is small, 25

causing the parabolic curve to be smooth, and the degradation to be slow in this case, 26

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b) Coefficient b is small, but positive, which means that the point of greatest usefulness 1

(IS) was before the first surveying; 2

c) Coefficient c is the point where the curve intersects the y-axis and as b is very close to 3

the y axis. This value of c (2.7622) is positioned between the maximum IS of the curve and the 4

IS obtained (2.7567). 5

In GZ - 03 there are some problems localized in drainage devices. These problems were 6

caused by the invasion of neighboring vegetation on the road. This fact allows the flow of water 7

from rainfall to go in the longitudinal direction, and consequently, with this flow the entrainment 8

of fine will occur, slowly eroding the road. The coefficients of the parabolic equation according 9

to the value of the longitudinal ramp for each topographic zone for the geotechnical zone 3 (GZ - 10

03) are also found in Table 3. 11

Analyzing these coefficients for such topographical zones, it was possible to observe that: 12

a) Coefficients a are negative, so the parables have the concavity facing downwards. 13

Their values are small and have little variation between the topographical zones, making 14

parabolic curves smooth and very close to each other. This causes degradation, which is 15

slow in this case and it would take a little more than 8 (eight) months to reach a IS 1.5; 16

b) Coefficients b are small, but positive, which means that the points of greatest 17

usefulness (IS) were before the first surveying; 18

c) Coefficients c are the points where the curves intersect the y axis, and coefficients b 19

are very close to the y axis. . 20

In GZ - 04, the problems located in drainage devices are caused by the invasion of the 21

neighboring vegetation on the road. It is worsening due to the fact that the vegetation becomes 22

increasingly dense and the soil type (A- 6) hampers the infiltration. The type of soil observed in 23

field contains about 20% of a clay material in its grain size distribution, making it more difficult 24

to drain. Table 3 shows the coefficients of the parabolic equation as a function of the values of 25

the longitudinal ramp in geotechnical zone 4 (GZ - 04) in its topographical zones. 26

Analyzing the coefficients for such topographical zones, it was possible to verify that: 27

a) Coefficients a are negative, so the parables have the concavity facing downwards. 28

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parabolic curves smooth and very close to each other. This causes degradation, which is 1

slow in this case and it would take a little more than 6 (six) months to reach a IS 1.5; 2

b) Coefficients b are small, but positive, which means that the points of greatest 3

usefulness (IS) were before the first surveying; 4

Na ZG – 04, os problemas localizados nos dispositivos de drenagem são causados pela

5

invasão do corpo estradal da vegetação lindeira, agravando-se devido ao fato de que a vegetação

6

fica cada vez mais densa e que o tipo de solo (A-6), dificulta sua infiltração. O tipo de solo

7

observado em campo contém cerca de 20% de material argiloso em sua composição

8

granulométrica, dificultando ainda mais a drenagem. A Tabela 3 apresenta os coeficientes da

9

equação parabólica em função dos valores de rampa longitudinal, para a zona geotécnica 4 (ZG –

10

04) nas suas zonas topográficas.

11

c) Coefficients c are the points where the curves intersect the y-axis and coefficients b are 12

very close to the y axis. These values of c are positioned between the maximum IS's of 13

the curves and IS's. 14

In topographical zones TZ - 20, TZ - 21 and TZ - 22, there is the predominance of one 15

type of distress. It is the Inadequate Transversal Cross Section, in its entire length. In this case, 16

the neighboring vegetation protects the base of the cross section against erosion caused by water 17

flow. Thus, water is forced to flow in the road causing the entrainment of fine materials, with 18

consequent erosion in the road. It is important to note that in this case the longitudinal ramp acts 19

as a catalyst in the process of erosion. 20

In cases where the degree of inadequate transversal cross section is large, the water from 21

rainfall erodes and drags the fine in the road, and also heavily erodes the road paths originating 22

from passing traffic and causes the entrainment of fine materials to the base. Is important to note 23

that this erosion only occurs when it is not protected by neighboring vegetation of the unpaved 24

road. 25

Due to the fact that there is an inadequate distress of the transversal cross section in the 26

topographic zones analyzed, the occurrence of other types of distresses does not influence the 27

calculation of the equation that represents the performance modeling of the section under study. 28

Due to this reason, the parabolic equation turns into an equation of straight line, ever constant 29

and equaling the value of IS in the referred sections. 30

In GZ - 05 the problems located in drainage devices are caused by the invasion of the 31

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dense, hindering the drainage of water from rainfall and forming "pools" on the unpaved road 1

during winter, causing the vehicles wheels to get stuck to the ground. Table 3 also shows the 2

coefficients of the parabolic equation as a function of the values of longitudinal ramp for each 3

topographic zone in a given geotechnical zone 5 (GZ - 05). 4

Analyzing these coefficients, is was possible to verify that: 5

a) Coefficient a is negative, therefore the parabola is concave down. Its value is small, 6

causing the parabolic curve to be smooth and the degradation to be slow in this case, 7

taking almost 7 (seven) months to reach a IS 1.5; 8

b) Coefficient b is small, but positive, which means that the point of greatest usefulness 9

(IS) was before the first surveying; 10

c) Coefficient c is the point where the curve intersects the y-axis and coefficient b is very 11

close to the y-axis. The maximum IS of the curve is positioned between the c value 12

(2.2250) and IS (2.2956). 13

In GZ - 06, in all its length, there is a predominance of one type of distress. In this case is 14

inadequate transversal cross section. This fact makes the occurrence of other types of distresses 15

not to influence the calculation of the equation, which represents the performance modeling of 16

the section under study. Due to this reason, the parabolic equation turns into an equation of 17

straight line, ever constant and equaling the IS value of the section under study, in this case equal 18

to 2 (two). 19

The coefficients of the parabolic equation as a function of the values of each longitudinal 20

ramp in each topographical zone for geotechnical zone 6 (GZ - 06) are also shown in Table 3. 21

9

22

Coefficient c, obtained from the equations' performance, represents, in this work, a point 23

of usefulness which is less than the maximum obtained from the equation. This is natural, 24

because the first topographical survey was conducted in January 2002, with the route already 25

deteriorated due the abrasive action of traffic. Coefficient b depicts that the peak of usefulness 26

was before the first topographical survey. It is still possible to conclude that even if the absolute 27

value of this coefficient is small, it can not be neglected. This is due to the fact that this value 28

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Coefficient a of the performance equations determines the speed with which a given 1

section deteriorates with time. The higher the coefficient, the greater the deterioration speed and 2

vice versa. The variables that most influence the deterioration process obtained in this study 3

were: the values of longitudinal ramp and the presence or absence of drainage equipment. 4

It has been found that the presence of effective drainage devices in the road causes its 5

deterioration more slowly. It was also possible to notice that, where the efficiency of drainage 6

devices decreases, the respective speed of deterioration of the sections increases proportionally. 7

The absence of these devices makes the section deteriorate very quickly. 8

The geotechnical type of material also has a great influence on the drainage, since the 9

greater the amount of clay and/or silt materials in the surface layers of the road, the greater the 10

difficulty of water from rainfall to infiltrate into the soil. 11

The value of the longitudinal ramp acts as a catalyst in the process of deterioration. The 12

higher the value of the ramp, the faster the section will deteriorate, because with this, the 13

entrainment of fine and the consequent soil degradation will occur. It is important to note that for 14

small values of the ramp, the water finds difficult to superficially drain and, consequently, 15

infiltrates in greater quantity, increasing soil humidity. If the humidity reaches high value, 16

whatever the humidity gains, there will be a proportional loss of mechanical resistance of the 17

soil. In other words, the soil looses the supporter capacity becoming less resistant and, 18

consequently, deteriorating more rapidly. 19

The behavior of geotechnical soil found in areas GZ - 02 (A-1-B), GZ - 03 (A-2-4) and 20

GZ - 04 (A-6) was as expected for these types of materials, that is, they had a decreasing 21

behavior respectively. It is important to note that the geotechnical zones GZ - 03 (A-2-4) and GZ 22

- 05 (A-2-4) should, in principle, present similar behaviors, due to having the same material, 23

which did not occur. 24

O comportamento do solo encontrado nas zonas geotécnicas ZG – 02 (A-1-B), ZG – 03 25

(A-2-4) e ZG – 04 (A-6) foi de acordo com o esperado para estes tipos de materiais, ou seja, 26

tiveram comportamento respectivamente decrescente. 27

The behaviors were presented decreasing respectively, which is due to the fact that in GZ 28

- 03, the presence of surface drainage devices was noted, a fact which did not occur in GZ - 05. 29

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more speed, also considering similar changes in the value of longitudinal ramp in those zones 1

cited above. 2

Because the geotechnical zones GZ - 01 (A-1-A) and GZ - 06 (A-1-B) present inadequate 3

transversal cross section in all its longitudinal extent, it was not possible to calculate the correct 4

performance equation of both zones. Consequently, the comparative analysis of the behavior 5

between the referred geotechnical zones was not possible. Thus, a similar behavior between the 6

two was admitted. 7

Due to rainfall, a natural increase of vegetation occurs (grass, leaves, twigs, etc.). 8

Therefore, the vegetation tends to invade the road and, consequently, in some cases it damages 9

the already disabled/non-existent drainage devices. This situation forces the longitudinal flow in 10

road, consequently the entrainment of fine, disaggregating materials and, finally, accelerating the 11

deterioration process. 12

The sections without drainage equipment in the study area showed compromised 13

efficiency. One of several factors (poor geometric conformation of the track in some places) that 14

can be pointed out (in the rainy season it impedes any drainage) as catalysts for the process of 15

deterioration. And in some situations this bad conformation causes the stoppage of traffic. 16

10

17

The rain, one way or the other, causes a more rapid deterioration of the road, but when 18

there is an efficient stormwater drainage in the road, this process becomes slower. It is important 19

to note that the geometric conformation of the road, both transverse and longitudinal, associated 20

with a network of efficient drainage enables, at any time of year, - wet or dry, the trafficability of 21

vehicles is not interrupted in the sections of the road. 22

Currently, the model of maintenance performed on unpaved roads by responsible 23

agencies, in the case of the municipalities in Ceará, their own governments, is based on the 24

simple scraping of the top layer of unpaved roads using motor graders and without replacing the 25

scraped material. Is important to emphasize that the continued use of this model will cause a bad 26

conformation of the cross section, which in itself is already a serious defect, repeatedly causing 27

the appearance of other defects, corrugations and potholes. 28

The costly model management (maintenance of unpaved roads) quoted above is fed 29

mainly by the lack of human resources skilled in the subject, in addition to the scarce financial 30

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maintenance of transport vehicles, increased travel time and the consequent increase in fuel 1 consumption. 2 3 4. CONCLUSION 4 5

The procedure for performance modeling for unpaved roads proposed and tested in this 6

research is easy to understand and simple to apply from the technical point of view, but it is 7

constituted of major steps contained in any other methodology for performance modeling. 8

According to the technical literature, performance modeling is the center of a management 9

system that is well suited to local conditions and supports the decision in a Maintenance 10

Management system (MMS). 11

Evidence shows that the system currently in force in the municipalities of Ceará and 12

especially in the city of Aquiraz is unable to change the current trend. Recognizing its 13

shortcomings in the area of road maintenance, many agencies responsible for this maintenance 14

began a search for answers to the many problems of management, conservation and maintenance 15

of roads. 16

Although the implementation of a Pavement Management System (PMS) for unpaved 17

roads is not an easy task, it is urgent for the vast majority of municipalities of Ceará, since their 18

unpaved road networks are not being dealt with properly, making them increasingly deteriorated 19

and, consequently, resulting in more expensive services arising from their use. 20

The model was applied in Aquiraz, where there is an occurrence of red-yellow podzolic 21

soils, whose occurrence in the municipality is 19% and in the State is 29%. For the application of 22

the proposed method in other places with different types of soil, there is the necessity of 23

calibrating the equation for the forecasting of the rolling surface performance. This is due to the 24

nature of the ALYNOMO method, which considers exogenous variables (rainfall, topography, 25

topology and density of the defects, type of performed maintenance), and the type of soil, that 26

impacts directly on the loss of the quality of the road. 27

For this purpose, it is recommended to fit the performance curve for other localities, 28

observing the types of materials and their geotechnical features, as well as the development of 29

simplified procedures for data surveying (topography, geotechnics and hydrology). 30

11

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Future studies could develop mathematical correlations between data (topographic, 1

geotechnical and rainfall) and the coefficients of the performance curve obtained or accomplish 2

the formatting and inclusion of a PMS for unpaved roads in a GIS environment, creating a more 3

powerful tool for decision makers use when utilizing public funds for the maintenance and 4

rehabilitation of unpaved roads. 5

6

ACKNOWLEDGEMENTS

7

8

The authors acknowledge CNPq for the promotion of MCT/CNPq 14/2012 Process 9

470609/2012-5 and CAPES for the support to the research. 10

11

BIBLIOGRAPHY

12

13

1. Correia, J. A. B., E. F. Nobre Júnior, and A. P. H. Cavalcante. Evaluation of Unpaved Roads With Aid of

14

Relative Usefulness Index by Road Branch. In Transportation Research Board: 83rd Annual Meeting,

15

2004, Washington, D.C. 83rd Annual Meeting Compendium of Paper CD-ROM, 2004.

16

2. Haas, R.; Hudson, W. R.; Uddin, W. (1997), Infrastructure Management, McGraw-Hill, New York, New

17

York, USA.

18

3. Riverson, J. D. N.; Sinha, K. C.; Scholer, C. F.; Anderson, V. L. (1987), Evaluation of Subject Rating of

19

Unpaved County Roads in Indiana, Transportation Research Record 1128, 53 -61 pp., USA.

20

4. Eaton, R. A.; Gerard, S.; Datillo, R. S. (1987), A Method for Rating Unsurfaced Roads, Transportation

21

Research Record 1106, Volume 2, 34 – 42 pp., USA.

22

5. Eaton, R. A.; Beaucham, R. E. (1992), Unsurfaced Road Maintenance Management, US Army Corps of

23

Engineers – USACE, Cold Regions Research & Engineering Laboratory – CRRL, Special Report 92–26,

24

USA.

25

6. USACE (1995), Unsurfaced Road Maintenance Management, TM 5-626, Technical Manual, United States

26

Army Corps of Engineers, Headquarters, Department of the Army, Washington, D.C., USA.

27

7. University of Wisconsin - Transportation Information Center (1989), Gravel Paser Manual – Pavement

28

Surface Evaluation and Rating, Madison, USA.

(19)

8. Almeida, R. V. O., E. F. Nobre Júnior, and J. L. C. Silva. Evaluation Methodologies for Unpaved Road

1

Surface Condition in Municipal District of Aquiraz, Ceara, Northeast Brazil. In Transportation Research

2

Record: Journal of the Transportation Research Board, No. 1989, Vol. 2. Transportation Research Board

3

of the National Academies, Washington, D.C., 2007, pp. 203-210.

4

5

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TABLES

1

TABLE 1 Classification For The Index Of The Condition Of The Topographical Zone (IC)

2

12

3

4

IC CLASSIFICATION

0.000 – 0.199 Excellent

0.200 – 0.649 Good

0.650 – 1.099 Regular

1.100 – 1.599 Bad

1.600 – 2.199 Very Bad

2.200 3.000 Poor

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TABLE 2 Classification For The Index Of The Usefulness Of The Topographical Zone (IS)

1

13

2

3

IS CLASSIFICATION

0.000 – 0.199 Poor

0.200 – 0.649 Very Bad

0.650 – 1.099 Bad

1.100 – 1.599 Regular

1.600 – 2.199 Good

2.200 – 3.000 Excellent

(22)

TABLE 3 Longitudinal Ramp Values (LR) And The Parable Coefficients (a, b, c) From

1

Each TZ For Each GZ

2

14

3

4

GZ TZ LR a b c

GZ - 01

TZ - 01 -5.4412% 0.0000 0.0000 2.0000

TZ – 02 -0.2070% 0.0000 0.0000 2.0000

TZ – 03 2.9450% 0.0000 0.0000 2.0000

TZ - 04 -0.7400% 0.0000 0.0000 2.0000

TZ – 05 -3.1719% 0.0000 0.0000 2.0000

TZ – 06 -0.9175% 0.0000 0.0000 2.0000

TZ – 07 -3.9714% 0.0000 0.0000 2.0000

TZ - 08 -1.4263% 0.0000 0.0000 2.0000

TZ - 09 -0.4650% 0.0000 0.0000 2.0000

GZ - 02 TZ - 10 -0.4514% -0.0141 0.0086 2.7622

GZ - 03

TZ - 11 -0.0850% -0.0226 0.0723 2.6932

TZ - 12 -3.7685% -0.0230 0.0769 2.6982

TZ - 13 -0.0796% -0.0213 0.0600 2.7213

TZ - 14 1.0575% -0.0227 0.0733 2.6794

GZ - 04 TZ - 15 -1.0900% -0.0327 0.0988 2.4424

(23)

TZ - 17 -1.5117% -0.0323 0.0967 2.4656

TZ - 18 0.3400% -0.0325 0.0950 2.4775

TZ - 19 1.0625% -0.0327 0.0983 2.4544

TZ - 20 6.3200% 0.0000 0.0000 1.0000

TZ - 21 -0.3650% 0.0000 0.0000 2.0000

TZ - 22 -6.5610% 0.0000 0.0000 1.0000

GZ - 05 TZ - 23 -0.7300% -0.0330 0.1036 2.2250

GZ - 06

TZ - 24 1.8800% 0.0000 0.0000 2.0000

TZ - 25 -0.1850% 0.0000 0.0000 2.0000

TZ - 26 -3.7450% 0.0000 0.0000 2.0000

TZ - 27 0.2567% 0.0000 0.0000 2.0000

TZ - 28 2.4363% 0.0000 0.0000 2.0000

TZ - 29 -0.0212% 0.0000 0.0000 2.0000

(24)

FIGURE 1 Sketch of the Polygonal and geotechnical zones location, and HRB classification

1

of geotechnical areas (not to scale).

2

15

3

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(26)
(27)

FIGURE 2 Examples of graphics for predictive modeling of performance (ALYNOMO

1

method) of topographic areas.

2

16

3

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1

2

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