evaluation of woven geotextile pore structure parameters...

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Geotechnical Testing Journal, Vol. 27, No. 1 Paper ID GTJ11070 271 Available online at: www.astm.org Ahmet H. Aydilek 1 and Tuncer B. Edil 2 Evaluation of Woven Geotextile Pore Structure Parameters Using Image Analysis ABSTRACT: Filtration performance of woven geotextiles is strongly related to their pore structure parameters, i.e., percent open area (POA) and pore-opening size distribution (PSD). Current methods of determination of pore structure parameters contain inherent disadvantages, whereas image analysis, taking advantage of the two-dimensional structure of woven geotextiles, can be used effectively for this purpose. Two new image-based PSD determination methods and a new image-based POA determination method were developed specifically for woven geotextiles and are presented in this paper. The POAs and two characteristic pore-opening sizes, O 95 and O 50 , of various woven geotextiles were determined using the information provided by the image analysis methods. The image-based POAs and O 95 pore-opening size of various geotextiles are comparable to those obtained from the physical measurements and the values reported by the manufacturers. On the other hand, the measured O 50 pore-opening size is higher than the one determined using the analytical equations developed by two previous researchers. KEYWORDS: woven geotextile, image analysis, percent open area, pore-opening size, dry sieving, bubble point To assure effective filtration performance, geotextiles must be properly designed. Retention and anti-clogging are the two main functions of a geotextile filter. Previous research has shown that woven geotextile properties that are most directly related to filtration performance are percent open area (POA) and certain pore-opening sizes (Austin et al. 1997; Mylnarek and Lombard 1997; Aydilek and Edil 2002). Current filter design criteria are typically based on ratios of certain geotextile pore-opening size to soil grain size. This is somewhat logical, since large pore openings of a geotextile should be smaller than the large-size fraction of the soil grains to prevent piping. Similarly, the small pore openings of a geotextile should be larger than the small-size fraction of soil grains to prevent excessive blocking. Mostly, use of certain pore-opening sizes has been suggested in the existing criteria, and in recent years the trend has been to remove POA from filter design criteria. In the past, the U.S. Army Corps of Engineers recommended selection of filters based on POA, which promotes the initial pas- sage of fines and, therefore, allows the development of a graded filter zone (also known as a bridging network) (Calhoun 1972; Ossege 1993). Since that time, the use of POA has been questioned by other investigators (Giroud 1996). Nevertheless, recent studies have shown that POA still appears to be one of the main param- eters influencing the filtration performance of woven geotextiles (Mlynarek and Lombard 1997). Many of the current design criteria specify a lower limit of 4 % for POA, whereas some researchers have shown that a value of as low as 0.5 % may be acceptable (Austin et al. 1997). Due to recent developments in the design of woven geo- textile filters, the accurate determination of POA has gained greater importance. Therefore, characteristic pore-opening sizes of a woven Received December 20, 2001; accepted for publication April 15, 2003; pub- lished December 17, 2003. 1 Assistant professor, Department of Civil and Environmental Engineering, University of Maryland, 1163 Glenn Martin Hall, College Park, MD, 20742. [email protected] 2 Professor and Chair, Geological Engineering Program, and Professor, Department of Civil and Environmental Engineering, University of Wisconsin- Madison, Madison, WI 53706. [email protected]. geotextile for clogging and retention criteria should be investigated along with its POA value to assure successful filtration. Problems exist with the currently available methods for deter- mining pore-opening structure parameters of woven geotextiles, i.e., percent open area (POA) and pore-size distribution (PSD). A commonly used method for POA determination is the light pro- jection method, which is highly operator-dependent. Commercial image analyzers and scanning techniques have also been used by some researchers (Mylnarek and Lombard 1997; Dierickx 1999) for this purpose. Various problems have been identified also with the currently available PSD determination methods (Smith 1993; Fischer 1994). These studies showed that PSD is highly dependent on the method used and therefore not a unique property of the geotextile. Due to the two-dimensional structure of woven geotextiles and the presence of relatively large pore openings, a direct method such as image analysis appears to be very appropriate for this purpose. Therefore, a new approach for determining both the percent open area (POA) and pore-opening size distribution (PSD) of woven geotextiles based on recent technological advancements in image analysis is warranted and is presented in this paper. The image analysis method uses various mathematical morphol- ogy algorithms to determine percent open areas and pore-opening sizes. The two characteristic pore-opening sizes, O 95 and O 50 , were determined using the information provided by image analysis. The image-based POAs are compared to the physical measurements made in the laboratory. Finally, the measured pore-opening sizes are checked against the manufacturers’ reported apparent opening sizes (AOS) and the values of the two characteristic pore-opening sizes based on the analytical equations. Geotextiles In the testing program, 17 woven geotextiles were used. The geotextiles were selected from the ones most often used in filter applications and had a wide range of percent open area (POA), apparent opening size (AOS or O 95 ), and permittivity. They also Copyright C 2004 by ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. 1

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Page 1: Evaluation of Woven Geotextile Pore Structure Parameters ...terpconnect.umd.edu/~aydilek/papers/ImageWoven.pdf · and Edil 2002). Current filter design criteria are typically based

Geotechnical Testing Journal, Vol. 27, No. 1Paper ID GTJ11070–271

Available online at: www.astm.org

Ahmet H. Aydilek1 and Tuncer B. Edil2

Evaluation of Woven Geotextile Pore StructureParameters Using Image Analysis

ABSTRACT: Filtration performance of woven geotextiles is strongly related to their pore structure parameters, i.e., percent open area (POA) andpore-opening size distribution (PSD). Current methods of determination of pore structure parameters contain inherent disadvantages, whereas imageanalysis, taking advantage of the two-dimensional structure of woven geotextiles, can be used effectively for this purpose. Two new image-basedPSD determination methods and a new image-based POA determination method were developed specifically for woven geotextiles and are presentedin this paper. The POAs and two characteristic pore-opening sizes, O95 and O50, of various woven geotextiles were determined using the informationprovided by the image analysis methods. The image-based POAs and O95 pore-opening size of various geotextiles are comparable to those obtainedfrom the physical measurements and the values reported by the manufacturers. On the other hand, the measured O50 pore-opening size is higherthan the one determined using the analytical equations developed by two previous researchers.

KEYWORDS: woven geotextile, image analysis, percent open area, pore-opening size, dry sieving, bubble point

To assure effective filtration performance, geotextiles must beproperly designed. Retention and anti-clogging are the two mainfunctions of a geotextile filter. Previous research has shown thatwoven geotextile properties that are most directly related to filtrationperformance are percent open area (POA) and certain pore-openingsizes (Austin et al. 1997; Mylnarek and Lombard 1997; Aydilekand Edil 2002). Current filter design criteria are typically basedon ratios of certain geotextile pore-opening size to soil grain size.This is somewhat logical, since large pore openings of a geotextileshould be smaller than the large-size fraction of the soil grains toprevent piping. Similarly, the small pore openings of a geotextileshould be larger than the small-size fraction of soil grains to preventexcessive blocking. Mostly, use of certain pore-opening sizes hasbeen suggested in the existing criteria, and in recent years the trendhas been to remove POA from filter design criteria.

In the past, the U.S. Army Corps of Engineers recommendedselection of filters based on POA, which promotes the initial pas-sage of fines and, therefore, allows the development of a gradedfilter zone (also known as a bridging network) (Calhoun 1972;Ossege 1993). Since that time, the use of POA has been questionedby other investigators (Giroud 1996). Nevertheless, recent studieshave shown that POA still appears to be one of the main param-eters influencing the filtration performance of woven geotextiles(Mlynarek and Lombard 1997). Many of the current design criteriaspecify a lower limit of 4 % for POA, whereas some researchers haveshown that a value of as low as 0.5 % may be acceptable (Austinet al. 1997). Due to recent developments in the design of woven geo-textile filters, the accurate determination of POA has gained greaterimportance. Therefore, characteristic pore-opening sizes of a woven

Received December 20, 2001; accepted for publication April 15, 2003; pub-lished December 17, 2003.

1 Assistant professor, Department of Civil and Environmental Engineering,University of Maryland, 1163 Glenn Martin Hall, College Park, MD, [email protected]

2 Professor and Chair, Geological Engineering Program, and Professor,Department of Civil and Environmental Engineering, University of Wisconsin-Madison, Madison, WI 53706. [email protected].

geotextile for clogging and retention criteria should be investigatedalong with its POA value to assure successful filtration.

Problems exist with the currently available methods for deter-mining pore-opening structure parameters of woven geotextiles,i.e., percent open area (POA) and pore-size distribution (PSD). Acommonly used method for POA determination is the light pro-jection method, which is highly operator-dependent. Commercialimage analyzers and scanning techniques have also been used bysome researchers (Mylnarek and Lombard 1997; Dierickx 1999)for this purpose.

Various problems have been identified also with the currentlyavailable PSD determination methods (Smith 1993; Fischer 1994).These studies showed that PSD is highly dependent on the methodused and therefore not a unique property of the geotextile. Due to thetwo-dimensional structure of woven geotextiles and the presenceof relatively large pore openings, a direct method such as imageanalysis appears to be very appropriate for this purpose. Therefore, anew approach for determining both the percent open area (POA) andpore-opening size distribution (PSD) of woven geotextiles based onrecent technological advancements in image analysis is warrantedand is presented in this paper.

The image analysis method uses various mathematical morphol-ogy algorithms to determine percent open areas and pore-openingsizes. The two characteristic pore-opening sizes, O95 and O50, weredetermined using the information provided by image analysis. Theimage-based POAs are compared to the physical measurementsmade in the laboratory. Finally, the measured pore-opening sizesare checked against the manufacturers’ reported apparent openingsizes (AOS) and the values of the two characteristic pore-openingsizes based on the analytical equations.

Geotextiles

In the testing program, 17 woven geotextiles were used. Thegeotextiles were selected from the ones most often used in filterapplications and had a wide range of percent open area (POA),apparent opening size (AOS or O95), and permittivity. They also

Copyright C© 2004 by ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. 1

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2 GEOTECHNICAL TESTING JOURNAL

TABLE 1a—Properties of monofilament and multifilament woven geotextiles used in image analysis.

Structure, Polymer Mass/Unit Apparent Opening Size, Percent Open, % Permittivity,Geotextile Typea Areab, g/m2 Thicknessc, mm AOSc, mm Area, POAc s−1

B W, MU, PP 257 0.645 0.425–0.6 8 1.50C W, MF, PP 207 0.613 0.3–0.425 10 1.36G W, MF, PP 204 0.664 0.3–0.425 20 2.14H W, MF, PP 205 0.272 0.6–0.85 17 1.50P W, MF, PP 192 0.354 0.3–0.425 10 0.95R W, MU, PP 285 0.454 0.3–0.425 6 0.96S W, MF, PP 240 0.272 0.15–0.212 4 0.28T W, MF, PP 218 0.564 0.3–0.425 NR 0.5U W, MF, PP 120 0.533 0.65 53 NRY W, MF, PP 340 0.394 0.3 NR 0.04

a W = woven, SF = slit-film, MF = monofilament, MU = multifilament, PP = polypropylene, NR = not reported.b Mass/unit area and thickness were measured according to the ASTM D 5261 and ASTM D 5199.c AOS, POA, and permittivity are manufacturers’ reported values. AOS and POA values for Geotextile U are based on communication with the manufacturer.

TABLE 1b—Properties of slit-film woven geotextiles used in image analysis.

Structure, Polymer Mass/Unit Apparent Opening Size, Percent Open, Permittivity,Geotextile Typea Areab, g/m2 Thicknessc, mm AOSc, mm Area, POAc, % s−1

A W, SF, PP 263 0.462 0.3–0.425 1 0.05D W, SF, PP 291 0.603 0.425 1 0.09E W, SF, PP 102 0.163 0.3–0.425 1 0.15F W, SF, PP 165 0.316 0.212–0.3 1 0.05V W, SF, PP 151 0.330 0.212–0.3 2 0.07W W, SF, PP 189 0.463 0.3–0.425 NR 0.02Z W, SF, PP 224 0.406 0.212 4 0.28

a W = woven, SF = slit-film, MF = monofilament, MU = multifilament, PP = polypropylene, NR = not reported.b Mass/unit area and thickness were measured according to the ASTM D 5261 and ASTM D 5199.c AOS, POA, and permittivity are manufacturers’ reported values. AOS and POA values for Geotextile U are based on communication with the manufacturer.

incorporate a range of polymeric fibers such as slit-film, monofila-ment, and multifilament. The physical and hydraulic properties ofthe geotextiles are given in Table 1.

Percent Open Area (POA)

Percent open area (POA) is the ratio of open area to total areaof woven geotextile. POA is directly correlated to permittivity(Aydilek 2000), which, in turn, has a direct effect on filtration per-formance of a geotextile. This is logical since a larger open areawould lead to a larger flow area and higher permittivity. Therefore,accurate determination of POA is important in evaluating filtrationperformance of woven geotextiles.

POA Determination Using Light Projection Method

The commonly used method for POA determination is the lightprojection method (U.S. Army Corps of Engineers 1986). In thismethod, a sample of geotextile (usually 50 by 50 mm) is placed inthe holder of a slide projector, and the image from the center of thesample is projected onto a screen. The length of the sides consistingof five openings and adjacent filaments are measured to define thearea of measurement. POA is determined by dividing the total areaof openings in this area by the area of measurement.

The method was slightly modified for the current research pro-gram. Measurements were made at three different locations (top,center, and bottom) of the sample and the average of these mea-surements reported. A board with 0.75 by 0.75-mm-square gridswas placed on the screen to count the squares within the open

areas. It was difficult to determine the pore areas of geotextiles withrelatively small POA values (POA < 4) and/or exhibiting hetero-geneity. Even though extreme care was taken in counting squares,the number of squares could not be established accurately in mostcases. The number was usually rounded, and it is believed that thisis a significant source of error in the calculations. The method is ex-tremely time consuming (it takes about 45 min to test one sample),operator-dependent, and mostly requires a high level of care. Sincethe optimum light intensity is not specified, the results may notbe reproducible because light intensity determines pore definition.Therefore, a more sophisticated, yet accurate, method is necessaryfor POA determinations.

POA Determination Using Image Analysis Method

Due to the shortcomings of the light projection method, the imageanalysis method has been recommended for POA determination(Austin et al. 1997; Mlynarek and Lombard 1997). The methodis based on counting white and black pixels and corresponding topore opening and filaments, respectively, in a binary image. Theratio of the number of openings to the whole image size is referredto as POA. This method usually requires an image analyzer, a lightsource, and a microscope or a digital camera. The method is simple,fast, and captures small pore-openings; therefore, the POA of ageotextile can be easily determined.

The image analysis method, however, has some disadvantages.One is that the method is highly sensitive to light intensity. An in-crease in brightness (diaphragm opening) can result in perceptionof larger pore-opening sizes, which leads to an over-prediction of

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AYDILEK AND EDIL ON GEOTEXTILE PORE PARAMETERS 3

POA. Another problem usually encountered relates to thresholdingin generating a binary image. To obtain meaningful values, an op-timal gray-scale threshold setup is required to distinguish the openarea from the polymer area. The thresholding tool included in mostof the image analyzers is not specifically developed for geotextiles,and often information is not available about their basis of opera-tion. To respond to this need, a more sophisticated method of imagecapturing and analysis was developed in this study.

Image Capturing on Samples of Geotextiles—The level of suc-cess in any image processing work is dependent on the quality ofcaptured images. Images of geotextiles were captured by a chargedcouple device (CCD) analog camera. An IMAQ-1424 32-bit digitalimage acquisition board digitized the captured images. The setupfor the image analysis included a 330 by 460 mm workstation plat-form, a 460-mm vertical post, a 460-mm horizontal arm, a 90

◦-angle

mount, and a 50-mm-diameter through-hole focus mechanism. An18 to 108-mm macro zoom lens was used. Approximately 30 to 35binary images of each geotextile were captured. A high-precision x-y stage table was used, and images were taken at an 8-mm interval.The 8-bit digital images had 256 gray scale and 640 by 480 pixels.Each image was 8 by 6 mm in size, which resulted in a pixel size of0.0125 mm. Preliminary statistical analyses showed that samplingsize (8 by 6 mm) and the sampling number size (N = 30–35) werereasonable (Aydilek 2000).

Initially, light was projected onto the sample through a portableilluminator. However, this caused reflection of the light from geo-textile filaments, which led to erroneous POA values. Consequently,specimens were illuminated from the bottom with a light source pro-viding a light intensity of 2000 lm. The diaphragm opening of thecamera lens was adjusted to a threshold value at which no visualenlargement of the geotextile openings was observed, such that thebackground pixels had grayscale values of 255 (i.e., pure white).

A debate is currently going on between researchers about theangle of measurement. Most of the image cameras capture the im-ages at an angle of 90◦, and this has recently been criticized byMylnarek and Lombard (1997). They measured POA of geotextiles

FIG. 1—Threshold calculations for woven geotextile images.

at angles of 30◦, 45◦, and 90◦ and suggested that the maximum ofmeasured values (maximum percent open area, MPOA) should bereported because the current design methods are too conservative.They indicated that a geotextile with a POA in the range of 0.4 to2.0 would be reported as 0 with the light projection method, i.e., noopening. This approach seems logical for geotextiles with low POAvalues and the ones composed of fibrillated yarns because the POAof those geotextiles is generally underestimated with the light pro-jection method. However, it is not reasonable in all cases becausethe POA values may decrease under field effective stresses and arisk of blocking subsequently develops (Ossege 1999). Therefore,in the current research program, the images were captured at anangle of 90◦. The images were then used to determine the POA aswell as PSD of geotextiles.

Thresholding and Filtering—A small code was written inMATLAB (Matrix Laboratory) to calculate the optimum thresholdvalues based on the histogram of each image. The threshold valueto generate a binary image was set to the midpoint of the pixel in-tensity values recorded at the two ends of the histogram (Fig. 1).Typically, the two ends were pure black and pure white, 0 and 255,respectively. Since the background pixel intensity was adjusted toa value of 255 (pure white), the filaments had a pixel intensity of 0(pure black). This approach is reasonable for all woven geotextiles,since they have a two-dimensional structure in contrast to nonwo-ven geotextiles, which have fiber orientations in the third dimension.Moreover, most of the woven geotextile image histograms have asimilar shape (Aydilek 2000).

After thresholding, binary images were obtained in which whiteregions were 1 and black regions 0. Figure 2 shows the capturedand thresholded images of Geotextile H. Pixel-size random noisemay occur on the image, which is often associated with electronicnoise in the computer vision system (Ghalib and Hryciw 1999). Acomposite morphological filter was applied when necessary to thethresholded binary image to eliminate this noise. This compositefilter consisted of a sequential application of a one-step opening andthen a one-step closing operation with a 2 by 2 structuring element,

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4 GEOTECHNICAL TESTING JOURNAL

FIG. 2—(a) Captured and (b) thresholded digital images of Geotextile H.

the smallest structuring element available. In mathematical mor-phology, a structuring element (SE) is a template designed to detector modify certain shape features of the signal under consideration.

The opening operation is a sequential application of an ero-sion operation followed by a dilation operation (i.e., opening =erosion + dilation), both using the same structuring element. Ero-sion is a morphological operation, which eliminates irrelevant pixelsin the image and erodes the contour of objects with respect to thetemplate defined by the structuring element. On the other hand,dilation has the reverse effect of erosion, since dilating objects isequivalent to eroding the background. The opening operation elim-inated all foreground objects, which are strictly smaller than thestructuring element employed. As a result of the opening operation,noise features within the filaments are eliminated.

The closing operation, a morphological dual operation, was ap-plied to the output image of the opening operation. It is a sequentialapplication of a dilation operation followed by an erosion operation(i.e., closing = dilation + erosion), both using the same structuringelement. The closing operation eliminated all background objects,which are strictly smaller than the structuring element employed.Therefore, as a result of the closing operation, noise features em-bedded in pore-openings are eliminated. A detailed description ofopening and closing operations can be found in Aydilek (2000).

Finally, percent open area was calculated through dividing thenumber of white pixels by the pixel size of the entire image us-ing a code developed in IMAQ, an image-processing softwarefunctioning under instrumentation software called LabVIEW. TheMATLAB code developed to calculate the threshold values wasadded to the program. Using a 1 GHz Pentium-based PC com-patible system, POA values of each geotextile were determined inapproximately 10 s by this method.

POA Results

The percent open areas of 17 different types of woven geotex-tiles determined by the image analysis are highly comparable to themanufacturers’ reported POAs and to the light projection method-based values as shown in Fig. 3. Comparable POAs were determinedfor both slit-films and mono/multifilaments. Even though the lightprojection method gives accurate results when employed carefully,the method is highly time consuming and therefore image analy-sis is still preferable. The results suggest that the image analysismethod can be effectively used to determine the POA of wovengeotextiles.

Giroud (1996) proposed an equation for calculating POA of wo-ven geotextiles. The equation includes filament thickness of a geo-textile and is applicable only to woven monofilament and multifil-ament geotextiles:

POA(%) =[

O f

(O f + d f )

]2

(1)

where d f is the filament thickness, and O f is the filtration openingsize. O f is defined as the largest pore-opening size of a particu-lar geotextile. In order to further investigate the accuracy of theproposed image analysis method, the values were compared withthe ones determined by the proposed equation. In the calculations,O95 was used as O f . To determine d f , first a code was written inMATLAB, which drew horizontal and vertical slices along the im-age. The images were then analyzed by IMAQ, and vertical andhorizontal filament thicknesses were determined by counting theblack pixels in each slice. The mean filament thickness was calcu-lated as the average of these thicknesses. Figure 3c compares thePOA values calculated by this method with the POAs determinedby image analysis. The values are highly correlated, which givesfurther substantiation of accuracy of the image analysis method.

Pore-Opening Size Distribution (PSD)

Most of the current filter design criteria use either apparent open-ing size (AOS, O95) or filtration opening size (FOS or O90), whichare the two available pore-opening sizes reported in the litera-ture. These pore-opening sizes are determined from dry sieving(ASTM D 4751) and wet sieving or hydrodynamic sieving tests, re-spectively. Due to the problems associated with these test methods,smaller pore-opening sizes determined by the methods are highlyunreliable (Smith 1993; Fischer 1994). Therefore, the bubble pointmethod (ASTM F 316) was developed to provide a complete PSDcurve for nonwoven geotextiles. It gives fairly reasonable PSD fornonwoven geotextiles, where air pressure determines the size ofpore channels. However, with its current status, the test producespoor results for woven geotextiles, since relatively high airflowpasses through these geotextiles and overpredicts the pore-openingsizes (Fischer 1994).

Image analysis has been used to determine the PSD of woven geo-textiles taking advantage of their two-dimensional structure (Bhatia

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AYDILEK AND EDIL ON GEOTEXTILE PORE PARAMETERS 5

FIG. 3—Comparison of image-based and light projection-based POAs with manufacturers’ reported values for (a) slit-film wovens; (b) monofilamentand multifilament wovens; and (c) image-based POAs with the predicted values.

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6 GEOTECHNICAL TESTING JOURNAL

FIG. 3—(Continued)

and Smith 1996; Dierickx 1999). However, potential problems havebeen reported, most probably due to lack of automation of ob-ject definition in these applications. A more fundamental evalu-ation of image analysis was employed in this study. Two methodsof image analysis were applied, and the results were comparedwith each other as well as with other PSD determination meth-ods. The first method used was based on IMAQ. It appears to bethe most readily available method for PSD determination and itsbasis simulates dry sieving, a widely accepted standard test forPSD determination. An IMAQ code, named P-IMAQ, was devel-oped specifically for PSD determination of woven geotextiles. Thecode reads the images, converts them into a binary form at an in-put threshold value, and filters them by using a 2 by 2 structuringelement.

In the second method, an original code for PSD determination ofwoven geotextiles, named PORE, was written in MATLAB, whichtakes a different approach in defining pore areas in an image. It in-corporates several image-processing operations to more accuratelydefine pore areas, and provides an actual pore-opening size as op-posed to a defined pore-opening size such as given in dry sievingin terms of the bead size that fits a pore opening.

PSD Methods Using Image Analysis

P-IMAQ for Determining PSD

IMAQ has a range of built-in object measurement methods.Among the methods, the closest one to represent sieve analysis isthe shape equivalence method using an ellipse. This method wasemployed in P-IMAQ. A detailed explanation of this method isgiven by Aydilek (2000). A range of geotextile opening diameters(i.e., comparable to the sieve sizes commonly used in a dry sievingtest) was defined in P-IMAQ, and each opening size was comparedto the minor axis length of an ellipse fitted to the pore opening.The number of pixels given in the output was defined as thenumber of pore openings having a minor axis length greater thana given diameter, which simulated retaining percentages in thedry sieving test. The process was repeated for the images of allsamples of a particular geotextile, and an average PSD wasreported.

PORE for Determining PSD

An original code, PORE, was developed to determine the PSDof woven geotextiles. The algorithm determines the actual pore-opening sizes using a number of morphological image-processingtechniques. It has three main phases, thresholding, filtering (openingand closing), and the final step includes a series of erosion, thinning,and pruning operations. The flow chart of the algorithm is shownin Fig. 4.

The previously developed MATLAB code calculated the thresh-old values for converting the images into a binary form. A com-posite morphological filter, consisting of a sequential applicationof one-step opening and then a one-step closing operation witha 2 by 2 structuring element was applied to the thresholded bi-nary image to eliminate the random noise. Figures 5a through5e show the images of Geotextile G after thresholding and fil-tering. After these two operations, successive applications of theerosion operation were applied to the image. The main purposeof the erosion operation was to simulate the conditions in thedry sieving test by eroding the contour of objects with respect tothe template defined by the structuring element. Structuring ele-ments had the same role as a stack of sieves used in dry siev-ing. For this reason, a range of structuring element sizes wasselected from among the commonly used sieve diameters, andthe erosion process was repeated with a range of structuring el-ements.

The successive erosion operations can be used to count the poreopenings larger than a given structuring element reasonably well;however, the erosion operation was applied to the pore openings, anda different operation, called thinning, was required to remove thebackground pixels to a skeleton. Morphological symmetrical thin-ning reduces objects in a binary image to their skeletons passingthrough their medial axes without altering the connectivity prop-erties of these objects, i.e., in a topology-preserving manner. Inparticular, it achieves this by peeling off a single layer of bound-ary pixels each time it is applied. However, “hair-like” protru-sions occurred either along ragged edges or at the corners of poreopenings as an artifact of the symmetrical thinning operation. Totrim these protrusions, an operation called pruning followed thesymmetrical thinning (Aydilek 2000). As a result, each erosion

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AYDILEK AND EDIL ON GEOTEXTILE PORE PARAMETERS 7

FIG. 4—Flow chart of PORE.

operation was followed by a set of thinning and pruning opera-tions performed using a 2 by 2 SE, the smallest structuring elementavailable.

The series of erosion, thinning, and pruning operations werecontinued until an “idempotance” was reached. In mathemati-cal morphology, idempotance is defined as the ultimate phase ofthe operation when all the objects (i.e., pore openings) are re-duced to a single pixel size. Since the process eroded the poreopenings starting from the outer borders of the pore opening, theidempotance was reached when one single pixel remained at thecenter of the pore opening (Fig. 5 f ). The number of remainingpixels was equal to the number of pore openings eroded by aparticular structuring element. For instance, the number of pix-els left after an erosion process performed with a 2 by 2 SEgave the number of pore openings larger than the sieve repre-sented by this structuring element. The required number of stepsto reach the idempotance was less when a larger structuring el-ement was used. For example, 15 successive steps of operationwere performed to reach the idempotance with a 3 by 3 SE;however, with a SE of 55 by 55, the largest SE used in the al-gorithm, a single step was usually enough to reach the idempo-tance.

PSD Results

Comparison of P-IMAQ and PORE

PSDs of various woven geotextiles were determined using thetwo different image analysis approaches, P-IMAQ and PORE. Thetwo characteristic pore-opening sizes, O95 and O50, were deter-mined using the information provided by the image analysis. Goodcorrelations exist between the values of PORE and P-IMAQ, asshown in Fig. 6. Sampling size (8 by 6 mm) and the sampling num-ber size (N = 30–35) were also reasonable for pore-opening-sizecalculations (Aydilek 2000).

The results suggest that either of the models can be used to de-termine the PSD of a woven geotextile. The verification of thePSDs obtained using P-IMAQ by PORE is significant. The sum-marized results indicate that P-IMAQ provides pore-opening sizeshighly comparable to actual pore-opening sizes as provided by morerigorous PORE. A good regression fit (R2 = 0.91–0.98) betweenP-IMAQ and PORE was obtained both for slit-film wovens andmonofilament or multifilament ones. The goodness of the fit sug-gests that the use of P-IMAQ is reasonable. PORE restores theimages by introducing necessary filtering operations and measuresessentially the actual sizes of pore opening of a geotextile. The maindisadvantage of PORE is its low speed. Therefore, the practicalityof P-IMAQ makes it preferable for PSD determinations withoutsignificant loss of accuracy.

Comparison of Image-Based O95 Pore-opening Sizeswith Manufacturer’s Reported Values

The apparent opening size (AOS or O95) of a geotextile is includedin most of the existing filter design criteria. This pore-opening size isdetermined from dry sieving; however, the test method has been crit-icized by many researchers (Mylnarek et al. 1993; Bhatia and Smith1996) due to its various disadvantages: electrostatic effects, geotex-tile sagging in the frame, and unspecified vibration frequency. Fur-thermore, the range between the bead sizes specified in ASTM D4751 is too large. For instance, if a particular bead size tested givesthe O80, the next specified bead size might easily give O98, which,however, will be reported as O95. Due to the reasons mentionedabove, a conservative approach was taken, and the minimums ofthe range of manufacturers’ reported AOS values were comparedwith the image-based pore-opening sizes. Figure 7 shows thesecomparisons. The O95 opening sizes of monofilament and mul-tifilament geotextiles determined by two different image analysismethods compare well in a general way with the manufacturers’reported AOS values. However, the R2 values were relatively lowfor the slit-films, possibly due to their heterogeneous structures.

Comparison of Image-Based O50 Pore-opening Sizeswith the Predicted Values

As mentioned before, the dry sieving test mainly provides O95,

and only a few O50values are reported in the literature, such as thebubble point measurements reported by Smith (1993) for two ofthe geotextiles of this testing program. O50 is a widely used pore-opening size in the current geotextile filtration criteria and shouldalso be determined accurately. Wayne and Koerner (1994) proposedan analytical method to calculate O50 values using mass per unitarea, thickness, and permittivity of a geotextile. This methodwas applied to the geotextiles of the current testing program, andthe resulting O50 values are plotted versus O50 determined using the

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8 GEOTECHNICAL TESTING JOURNAL

FIG. 5—Image processing on the digital images of Geotextile G: (a) thresholding, (b) erosion for opening, (c) dilation for opening, (d) dilation forclosing, (e) erosion for closing processes, and (f) idempotance phase after 15 successive operations of erosion using 3 by 3 SE.

FIG. 6—Comparison of the O95 and O50 characteristic pore opening sizes determined by PORE and IMAQ.

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AYDILEK AND EDIL ON GEOTEXTILE PORE PARAMETERS 9

FIG. 6—(Continued)

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FIG. 7—Comparison of image-based O95s with the manufacturer’s reported AOS values for (a) slit-film wovens; (b) monofilament and multifilamentwovens.

image analysis method in Fig. 8. In most cases, the image-basedO50 values of both slit-films and monofilament or multifilamentsare significantly higher than those determined by the Wayne andKoerner (1994) approach, though comparable to the few availablebubble point data.

Conclusions

Accurate determination of percent open area (POA) and pore-opening size distribution (PSD) of a woven geotextile is necessaryto develop filter criteria. Potential problems exist with the existingPOA and PSD determination methods. Therefore, a new method ofdetermining POA was developed using the recent developments inthe image analysis technology. Furthermore, two new image anal-

ysis methods, one with a more rigorous definition of pore-openingsize (PORE) and another more practical to use (P-IMAQ), weredeveloped and used to determine the PSD of a wide range of wovengeotextiles. The POAs and two characteristic pore-opening sizes,O95 and O50, derived from the PSD of various woven geotextilesbased on these image analysis methods were compared to the re-sults from the laboratory tests, analytical equations, as well as man-ufacturers’ reported apparent opening sizes (AOS). The followingconclusions are advanced:

1. The image analysis method measures POA of woven geo-textiles accurately. The POAs are highly comparable to themanufacturers’ reported values and to the measured ones us-ing the light projection method. It is a rapid, accurate, and

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AYDILEK AND EDIL ON GEOTEXTILE PORE PARAMETERS 11

FIG. 8—Comparison of image-based O50s with the values determined in the laboratory and based on an analytical equation for (a) slit-film wovens;(b) monofilament and multifilament wovens.

less user-dependent method. The method also provides opti-mal threshold values for converting the geotextile images intoa binary form.

2. An original code measuring the actual pore-opening size ofa geotextile, PORE, was developed. The pore-opening sizesmeasured by using this code were compared to those deter-mined by a second code (P-IMAQ) developed using IMAQ,a commercial image analysis software functioning underLabVIEW. The verification of PSDs obtained using P-IMAQby PORE is significant. The main disadvantage of PORE is itslow speed, and, therefore, the practicality of P-IMAQ makesit preferable for PSD determinations.

3. The image-based O95 pore-opening size of various geotex-tiles is comparable to the manufacturers’ reported AOS. The

measured O50 pore-opening size is greater than the one deter-mined using an analytical equation developed by two previousresearchers but comparable to the few data based on laboratorybubble point tests.

Acknowledgments

The authors would like to express their appreciation to Dr.Seyfullah H. Oguz of Sanduides for his valuable comments duringthe development of the algorithms. Mr. Michael Anderson assistedduring the image analysis. The geotextile samples were suppliedby Ten Cate Nicolon, Synthetic Industries, Carthage Mills, Amoco,and Linq Industries.

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