3.1 Transparency analysis
In order to quantify the optical characteristics of transparent materials, a relative transparency (RT) method was introduced in this paper. Test target with the black background, viewed through transparent materials with different thicknesses (24 mm intervals) were carried out. Test target sign viewed through air and liquid can also be seen in Fig. 2. Camera (Canon 550D) with 18 million effective pixels within 50 cm distance was used to photo the figures. Photograph the figures through the target layout with different thickness in transparent materials. Pixel intensities (I, grayscale intensity values for black and white equals 0 and 255, respectively) could be obtained for each photo and each window of one photo. Set 0 distance figure as a reference map, the transparency of test target were analyzed, thus reflecting the transparency level of transparent materials. As showed in Fig. 3, the RT values of transparent materials can be calculated as:
where RT is the relative transparency, Ii (i ≥ 0) is the pixel intensity of test target in various depths of transparent materials, I0 is the first pixel intensity of the test target placed in air (0 mm depth in transparent materials), A0 is the pixel intensity of transparent soil.
In order to confirm the superior transparency of this new transparent clay, a comparative test was undergone based on the MTF method (BLACK & TAKE[6]). Target are defined by spatial frequency (number of black and white areas) referred to as line pairs per millimeter (lp/mm) (Fig. 3). The MTF defined as follow:
where Imax(I) and Imin(I) is the maximum and minimum intensity of an actual object with repeating structure having maximum and minimum intensity Imax(o) and Imin(o), respectively. At low spatial frequencies, the modulation is close to 1 and generally falls as the spatial frequency increases until it reaches zero.
The pixel intensities distribution for test target at 50 mm depth in difference transparent materials are shown in Fig. 4. It shows that the black test target in this new transparent clay (manufactured by Carbopol® Ultrez™ 10) is more close to test target pixel intensity in air (I0) than others transparent materials, which indicates better optical transparency properties.
The thickness of transparent soil has a significant effect on the transparency. Therefore, thicknesses of 50, 100, 150, and 200 mm for 0.75% mixture of U10 powder were used to calibrate the transparency, The RT values of five different transparent materials versus soil thickness are shown in Fig. 5. The results indicate transparent clay manufactured by U10 has superior transparency compared with other materials. The comparative MTF values versus soil thickness and spatial frequency for both new transparent clay are shown in Fig. 6. Targets of 0.02, 0.04, 0.25 and 0.50 lp/mm were used in the transparency calibration, respectively. The results indicate that a linear decrease of transparency with the increasing of the sample thickness. The transparency decreased by 17 % with each increase of 50 mm measured by MTF method.
3.2 Thixotropy analysis
A series of laboratory vane shear tests were performed to investigate the following properties of the transparent clay. The increase in strength with time (thixotropy), the sensitivity, and the measured strength with consolidation after vane insertion were investigated. The laboratory vane shear device used in this paper is a portable type (PS-VST-P). The vane is a four-blade, 50.8 by 101.6 mm square vane with a rod diameter of 10 mm. The measurement range of the vane shear apparatus is approximately 0 ~ 8.125 kPa.
Synthetic transparent clay 0.75% initial U10 mixture was manufactured in the 100 mm by 100 mm by 150 mm cube, and allowed to set or self-weight consolidate for 6 ~ 336 hours. Laboratory vane tests were conducted where the top of the vane was at the depth of 25 mm below the surface. The on-set of static holding is defined as the moment where the specimen is taken out from the vacuum environment. The sample with 0.75% initial U10 mixture exhibits an increase in the peak undrained shear strength which is measured by laboratory vane, Su,peak, with the increasing of time as shown in Fig. 7. The average peak shear strength of samples undergoing self-weight consolidation for 7 days is 0.28 kPa for 0.75% mixture. The shear strength of transparent clay is close the one of Harbod mud at liquid consistency (SCHLUE et al. [14]). This observation indicates that with self-consolidation alone, the transparent clay remains very soft for an approximate 120 mm high sample size. The average peak strength of samples undergoing self-weight consolidation for 14 days is 0.3 kPa. Therefore, a 7-days setting time was used for testing due to the relatively small increase in undrained shear strength during a second 7-days, similar to transparent clay manufactured by Laponite RD (WALLCE & RUTHERFORD [9]).
The thixotropy strength ratio of synthetic clay (0.75% mixture), Su,peak/Suo (original undrained shear strength, Suo), in comparison with other natural clays is shown in Figs. 8–9. Figure 8 shows the thixotropy ratio change versus logarithmic time. The results indicated similar strength increasing trend between synthetic clay (made by U10) and natural ones. The change trend of thixotropy with time can be described by first order exponential function for clay as shown in Fig. 9, with comparison with several natural clays including Beauharnnois, Detroit, London and Shellhave clay (MORETTO[15]), Taihu lake and BaiMahu lake dredged slurries (WANG et al. [16]), Tianjin soft clay (HUO et al. [17]), other clays (FLAATE[18]; TORSTENSSON[19]; ROY & LEBLANE[20]). The fitting results were shown in Table. 1, which indicates that transparent clay manufactured by U10 has similar thixotropic properties.
Table 1. Summury of relationships between thixotropic ratio and time
Clay
|
Time /h
|
su/suo=Ae(−t/t1) + B
|
R2
|
Beauharnois
[15]
|
0-10000
|
=-2.51 e(−t/1547.77) + 3.82
|
0.981
|
Detroit [15]
|
0-10000
|
=-0.90 e(−t/2825.81) + 1.90
|
0.998
|
London [15]
|
0-7200
|
=-0.81 e(−t/1190.08) + 1.86
|
0.985
|
Shellhave [15]
|
0-3600
|
=-0.90 e(−t/90.37) + 1.91
|
0.964
|
Taihu Lake[16]
|
0-10000
|
=-0.64 e(−t/450.16) + 1.70
|
0.962
|
Baima Lake [16]
|
0-10000
|
=-0.86 e(−t/849.02) + 2.12
|
0.862
|
Tianjin coastal clay [17]
|
0–48
|
=-0.26 e(−t/9.30) + 1.20
|
0.900
|
Flaate [18]
|
0–8
|
=-0.21 e(−t/0.80) + 1.20
|
0.998
|
Bacebol [19]
|
0-167
|
=-0.173 e(−t/2.20) + 1.18
|
0.957
|
Askim [19]
|
0-167
|
=-0.165 e(−t/2.20) + 1.17
|
0.966
|
St. Alban [20]
|
0-167
|
=-0.156 e(−t/0.45) + 1.16
|
0.970
|
St. Louis [20]
|
0–26
|
=-0.200 e(−t/0.17) + 1.20
|
0.993
|
Laponite RD [6]
|
0-320
|
=-0.409 e(−t/136.66) + 2.27
|
0.815
|
U10 (this paper)
|
0-720
|
=-2.080 e(−t/119.78) + 2.93
|
0.920
|
The sensitivity of soil is an indication of the reduction in shear strength of soil when disturbed, e.g. when it is remoulded or when it is subjected to monotonic or cyclic loading. The soil sensitivity is defined as the ratio of the undrained shear strength of undisturbed soil to the undrained shear strength of the remoulded soil at the same water content, e.g. St=Su/Sur (where Su and Sur is the undisturbed undrained shear strength, and remoulded undrained shear strength, respectively). The ratio of the peak undisturbed strength to the remoulded strength, as determined by the unconfined compression test, was used initially by Terzaghi as a quantitative assessment of sensitivity. However, the strength of some clays is so low that unconfined compression test specimens cannot be used. Therefore, the laboratory vane shear test was used in this paper. The remolded shear strength was measured by manually rotating after obtaining the peak shear strength and performing an additional laboratory test. Figure 10 shows that the peak strength and residual strength change versus time, while the corresponding change of sensitivity with time developing is shown below. The sensitivity versus time of transparent clay also can be fitted by exponential function, similar to natural one (e.g. layer No. 4 soft clay in Shanghai). The sensitivity of synthetic clay ranges from low to medium sensitivity. Nevertheless, the synthetic clay belongs to low sensitive clay for other classification standards (ABUHAJAR et al. [21]), as shown in Fig. 11.