Abstract
In this study, air void contents and distributions of porous asphalt mixtures along the vertical and horizontal directions were quantitatively measured on planar images. Air void contents were determined using some image techniques; while the permeability was measured by the falling head test. Two aggregate gradations (G1 and G2) and three blow numbers (30, 40, and 50) were chosen to explore the effects of gradation and compaction effort on the porosity and permeability. Results showed that porosities and permeabilities are symmetrically distributed along the middle of the specimens; the porosities and permeabilities got the minimum values around the middle zone. A finer gradation or a significant compaction effort generally led to a lower porosity and permeability coefficient. In the horizontal direction, the air void content showed an increasing trend from the outside layer to the inner layer, indicating the nonuniformity of porosity distribution.
1. Introduction
Porous asphalt mixture (PAM) is featured by its large drainage capacity, which is generated by the large porosity produced by the gap-graded or open-graded aggregate structure [1, 2]. In the US, the recommended porosity is no less than 18%; in China, Japan, and New Zealand, the porosity should be no less than 20% [3]. Because of its prominent air void (AV) content, PAM presents great advantages in the reduction of water splash and spray as well as risk of hydroplaning and wet skidding, leading to the improvement of the visibility in the wet weather [2]. In addition, noise reduction effectiveness is another feature that distinguishes PAM with other types of asphalt mixtures [4, 5]. On the contrary, the interconnected porosity of PAM leads to a low-albedo value, which results in a reduction of nighttime urban heat island effect [6]. All these benefits make PAM a sustainable pavement material, which attracts extensive attentions these years.
The internal structure of PAM, including the air void characteristic and the skeleton structure, is the dominate factor affecting the durability and functionality. The permeability of PAM is mainly related with the interconnected AV content [7–9]. Generally, a linear relationship exists between the total AV and the interconnected AV content. Research from Alvarez et al. [10] showed that only very slight difference between the total AV content and the interconnected AV content existed. Pieralisi [11] found that no matter for falling head test or constant head test, the increase of the porosity leads to an increase of the permeability. Norhidayah et al. [12] found that PAM with coarse aggregate gradation produced larger void size with an elongated shape, producing a more obvious connectivity of the pores. Król et al. [13] found that a comparatively high permeability value was observed for porous asphalt with maximum aggregate size. Void distributions in the vertical and horizontal directions present some variabilities. Chen et al. [14] found that the length of horizontal connected voids in PAM was larger than that in the vertical direction, which resulted into a lower hydraulic conductivity in the vertical direction. Moreover, the length and curvature of horizontal pores were larger than those of vertical pores, but the diameter was smaller for horizontal pores [15]. Chen et al. [16] also have drawn the same conclusion from several specimens with the connected AV content ranged from 7.4% to 17.0%. It is suggested to consider the effect of rainfall intensity and transverse cross slopes when measuring the permeability in pavements.
Using optical and electron microscopy, Poulikakos and Partl [17] found that a more homogeneous void structure existed in PAM with polymer-modified binder. In addition, better performing mixes had a more desirable void structure with fewer or less elongated voids and better interlocking of the aggregate. Hu et al. [18] employed the 3D fractal dimension (3DFD) to characterize the complexity of aggregates and found a larger 3DFD led to a more complicated and large air voids in asphalt mixture. It was reported that there existed a power function relationship between the effective air voids and the total air voids [19]. Moreover, the interconnected air voids existed when the total air void content was larger than 8%. When the total porosity was larger than 15%, the water inside asphalt mixture is likely to flow without water damage [20].
Besides the effects in functionality, the air void content also affects the durability of PAM [21]. Several scholars found that a coarser gradation in PAM may result in a larger content of voids in the mineral aggregate (VMA). However, a coarser gradation helps form a stronger skeleton, which leads to an improved mechanical performance [22]. For a given PAM mix, the compaction effort significantly affects the AV content. Within a certain range, the larger the compaction number, the lower the AV content and the bigger the bulk specific density of mix. Therefore, the increase of compaction efforts helps the formation of the stone-on-stone contact structure, which provides the deformation resistance. The moisture susceptibility can be used to evaluate the durability of PAM under the moisture damage effect [2, 21]. Evaluation of moisture susceptibility based on the retained tensile strength ratio (TSR) was recommended for PAM mix design [23]. Suresha et al. [21] showed that PAM with lower AV content showed larger indirect tensile strength (ITS) and the larger tensile strength ratio (TSR). Based on macroscopic assessment, a direct relationship between the AV content and the mixture resistance to disintegration (i.e., raveling) was provided that the lower AV content led to lower abrasion loss [21]. The air void in PAM also influences the bonding condition between PAM and the underlying layer [24], which also affects the durability of PAM pavements. Another aspect about the effect of the pore structure on durability is the aging effect in PAM. Compared to dense-graded asphalts, the significant pore structure of PAMs more easily induces the aging reaction of asphalt binder [25]. Asphalt aging is accompanied by a reduction in other properties of bituminous pavements, such as antirutting, moisture damage resistance, and crack resistance [26, 27]. Hagos et al. [28] found that aging could increase the stiffness of the bitumen, which contributes the brittle failure in the contact points between the mortar and aggregates.
In characterizing the internal structure of asphalt concretes, the nondestructive techniques based on X-ray computed tomography (CT) and image analysis provided insight into the internal structure characteristics of asphalt mixture, such as the reconstruction of asphalt concrete [29, 30], AV content and distribution [7, 31–33], and damage evolution [34]. Results showed that the larger AV content existed at the top and bottom of the asphalt samples, both for Marshall and SGC samples [32, 33]. Poulikakos and Partl [17] used optical and electron microscopy to evaluate the binder type on the microstructure of porous asphalt. These techniques are generally expensive to use and require specialized personnel to operate. Relatively speaking, internal structure analysis of asphalt concretes using planar images is more straightforward and effective, especially in detecting the void content and aggregate gradation [35, 36].
2. Objective and Scope
The objective of this study is to investigate the content and distribution of air voids in PAMs with different gradations under different compaction efforts. By employing digital image processing techniques, air voids were extracted from planar images taken from cut slices. The AV in vertical direction and the uniformity of the AV distribution were both analyzed. Besides, permeability test was conducted using the falling head method. The permeability coefficients were correlated with the AV content.
3. Materials and Mix Design
Two type of gravel PAMs were prepared in this study with the difference in the aggregate gradation. The nominal maximum aggregate sizes of the two gradations (G1 and G2) are 12.7 mm and 9.5 mm, respectively. The gradations of G1 and G2 are shown in Figure 1. It can be seen that G1 is coarser than G2. A styrene-butadiene-styrene- (SBS-) modified binder was used in this study. The asphalt content in G1 and G2 were 6.0% and 6.2%, respectively. The properties of the SBS binder can be found in Table 1.

In this study, a Superpave Gyratory Compactor (SGC) was used to compact the PAM specimens at 145°C. Compaction was conducted at a pressure of 0.6 MPa and an external angle of gyration of 1.25°. The compaction efforts were set with 30, 40, and 50 blows. Some trial tests were conducted to compact specimens with a height of 12 cm. The porosities and permeabilities derived from the falling head test are shown in Table 2. Some preliminary conclusions can be drawn that, with the increase of the compaction effort, the porosities and permeabilities gradually decreased. With the same compaction energy, SGC specimens with G1 gradation showed larger porosities and permeabilities than specimens with G2 gradation.
4. Laboratory Test
4.1. Image Methodology of Air Void Detection
Slices were cut from the compacted samples with a depth of 2 cm, which can be observed in Figure 2, in which there are 5 surfaces (No. 1 to No. 5), and were used to detect the air void content and distribution. The top and bottom surfaces were discarded due to the difficult segmentation caused by a very small range of pixels. All the tests were carried out in triplicate.

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After the cutting process, slice samples would be transformed to 2D grayscale images. Then, binarization was conducted to segment the air voids and aggregate mastics. A binary image is a digital image which has only two possible values of each pixel: 0 and 1. In Figure 3(c), the dark part represents the air voids and the white part represents the aggregate mastics. The threshold value of the binarization operation was determined using Otsu’s method [37]. In Figure 3(c), there are lots of noises after the initial binarization. The morphological opening operation was following conducted on the binary image to remove the noise. The morphological opening operation is an erosion followed by a dilation [38]. Opening is an image morphological operation that darkens small objects and entirely removes single-pixel objects such as noise spikes and small spurs [39]. Objects tend to retain their original shapes and sizes. The void ratio is determined by dividing the number of void pixels by the number of the total pixels.

In Figure 4, a plane image was divided into three parts (I, II, and III). The diameter of part I is 5 cm. The thickness of II and III is 2.5 cm, respectively. Apart from obtaining the air void content on the planar image, air void contents in these three layers were measured as well to quantitively characterize the uniformity of air void distribution.

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4.2. Permeability Test
Permeability is an important parameter of pervious concrete since the material is designed to perform as a drainage layer in pavement structures. Falling head permeability tests were conducted to obtain the permeabilities of each slice. There are 6 slices for an SGC sample, as shown in Figure 2. Figure 5 shows the specimen and device for permeability test. To protect from the water leakage between the sample and the test device, the cylindrical specimen was wrapped with a rubber tube and tightened by circular clamps. Permeability coefficient was calculated usingwhere is coefficient of permeability, is the cross-section area of the sample, is the height of a sample, in this study, and equals to 2 cm, is the cross-section area of standpipe, is the time taken for water in the standpipe to fall from to , and and are the heads at the beginning and end of the measurement.

5. Result and Discussion
5.1. Air Void Distribution
The air voids on the two surfaces of the cylinder specimens were not measured. Therefore, porosities at 0 and 12 cm were not plotted in Figure 6. In the legend, the first part represents the gradation type and the second part is the blow number. Therefore, G1-30 represents the PAM specimens with G1 gradation and the blow number is 30. For all the specimens, as shown in Figure 6, the porosities are symmetrically distributed along the middle of the specimens; the porosities got the minimum values around the middle zone. This conclusion generally consists of the results obtained from CT scanning [8]. This inhomogeneous AV distribution can be attributed to restriction by the top and bottom surfaces of the specimen during compaction and by a nonuniform temperature profile through the depth of the compacted mixture [40]. No matter for G1 or G2 gradation, with the increase of compaction efforts, the AV content decreased remarkably. The effect of gradation on the AV content is also clearly observed. At the same location and under the same compaction effort, PAMs with G2 gradation showed lower AV contents, indicating a finer aggregate gradation led to a denser internal structure.

Figure 7 presents the AV distributions of PAMs at different heights from the outside layer to the inside layer with the blow number of 30. A clear trend can be observed that, from zone I to zone III, the AV content increased remarkably, indicating compaction quality in the outside layer was better. This may be ascribed to the compaction type and the constraint of the gyratory compactor. Similar with the conclusion drawn from Figure 6, AV contents at both ends of specimens (h = 2, 10 cm) were larger, while the AV content in the middle (h = 6 cm) was lower. Comparing the results of PAMs with G1 and G2 gradations, specimens with G1 gradation also presented larger AV contents at the same locations.

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Figure 8 presents the AV distributions of PAMs with G1 and G2 gradations from the outside layer to the inside layer. The depth of the specimens in Figure 8 is 4 cm. From the outside layer to the inner part, AC contents increased from specimens with a same gradation and compaction number. However, the AV content of specimens with G1 gradation was generally larger than specimens with G2 gradation, indicating PAMs with G2 gradation were denser than G1.

5.2. Permeability
Permeabilities of the six slices were presented in Figure 9. The vertical points of the samples were set as 1, 3, 5, 7, 9, and 11 cm. Similar with the air void contents in Figure 6, the lowest permeability coefficients were located at 5 cm or 7 cm, and the largest values were at the two ends. From the two ends to the vertical middle position, permeability coefficients gradually decreased due to the decrease of porosities.

The relationship between porosity and permeability coefficient was revealed in Figure 10. It should be noted that the data of both the slices and the SGC specimens were presented. It can be obviously observed that, as the porosity increases, the permeability increases correspondingly, which agrees with other studies [41, 42]. However, some interesting phenomenon can be observed that although the porosities of SGC specimens were larger than those of the slices, the permeabilities coefficients were lower. This is because, for a SGC specimen with a thickness of 12 cm, tortuosity is more significant than in the slice specimens with a lower thickness. The tortuosity definitely introduces water-flow obstructions [43], resulting in a decrease in permeability coefficient. For the slice specimens, an exponential equation was set up to represent the relationship between porosity and the permeability coefficient. However, permeability of PMA is also affected by many other factors, such as the pore structure and gradation. In this study, this equation was only for the data in this study.

6. Conclusions
In this study, image techniques were utilized to measure the air void contents in the vertical and horizontal directions. Falling head tests were conducted to obtain the permeability coefficients. Relationship between porosity and permeability was set. The uniformity of air void content distribution was measured by checking the porosities from the outside to the inner layer. Some conclusions can be drawn:(1)Porosities and permeabilities are symmetrically distributed along the middle of the specimens; the porosities and permeabilities got the minimum values around the middle zone.(2)A coarser gradation or a lower compaction effort could play the same effect in leading to a larger porosity and a higher permeability coefficient.(3)In the horizontal direction, the air void content showed an increase trend from the outside layer to the inner layer, indicating the nonuniformity of porosity distribution.(4)For SGC specimens with a larger thickness, tortuosity is significant, which produces a lower permeability, even though the porosities of an SGC specimen and a slice sample were the same.(5)This study was mainly about the porosity characterization of SGC specimens. The air void distributions of field samples will be explored in the future study.
Data Availability
The data presented in this study are available from the corresponding author on request.
Conflicts of Interest
The authors claim no conflicts of interest.
Acknowledgments
This study was supported by the projects funded by the National Natural Science Foundation of China (Grant no. 51378504) and Guizhou Provincial Department of Transportation (Grant no. 2013-122-001).