Shaking table testing of liquefiable ground improved by multi-layer solid

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Fujita Technical Research Report No.4 24 Shaking table testing of liquefiable improved by multi-layer solid Takahiro Kishishita Abstract In this study, a series of shaking table tests was conducted to investigate on the effect of the multi-layer soil improvement method. The multi-layer soil improvement method involves placing multiple plate-like layers of improved soil in a liquefiable layer. The results obtained suggested that the multi-layer soil improvement was effective for attenuating seismic motions and repression of settlement. 1. Introduction Due to extensive damage caused by softening and liquefaction of the during an earthquake, most research into soil improvement in this field has been aimed at complete elimination of liquefaction. However, liquefaction can reduce damage and casualties by serving as a base isolation layer for superstructures owing to its -motion-reducing effect by strong non-linearization. For instance, liquefaction of the immediately below some structures built on a reclaimed land reportedly had an effect of reducing the damage of the superstructures during the 1995 Hyogoken-Nambu Earthquake 1), 2). Noticing this effect, attempts have been made to utilize liquefaction for vibration-damping technology, both in particular types of foundations and methods of improvement 3) - 6). The concept of permitting partial softening and liquefaction of the may therefore have Keywords : shaking table test, liquefiable, multi-layer solid advantages over the methods of eliminating liquefaction as regards cost and the inertial force to which the structure is subjected. On the other hand, such a method may pose a problem of limiting the settlement and differential settlement of structures on spread foundations to within the permissible ranges. Also, the applicability of such improvement techniques to existing structures is a pressing subject to meet due to the growing need in recent years for technologies to maintain and repair existing structures. Accordingly, the authors devised a form of improvement by multi-layer chemical compaction, in which is partially compacted to form multiple layers of compacted plates in a liquefiable, thereby permitting partial softening and liquefaction to utilize their vibration-damping effect while reducing settlement and differential settlement (Fig. 1). Since chemical grouting is assumed for the compaction, it is can be applied to the under existing structures. The reduced amount of the chemical due to partial compaction will also contribute to cost reduction. In this study, shaking table tests were conducted

Fujita Technical Research Report No.4 on model s improved by multi-layer chemical compaction with different improvement percentages to investigate the effects of the method in regard to vibration damping and settlement prevention. Liquefaction Fig. Concept of multi-layer chemical 2. Outline of shaking table testing 2.1 Sample and compacted plates The sample for models is sand from Hamaoka (Gs = 2.699, emax =.933, and emin =.593). Compacted plates were prepared by pluviating Hamaoka sand onto forms measuring 2 by 2 by 5 cm filled with permanent grout (Permarock) 7) of a water-glass type and cured for 1 week before testing. Table 1 gives the compositions and uniaxial compressive strength of the permanent grout. Figure 2 shows the relationship between the cyclic shear stress ratio, τcyc/σ m, and the number of cycles causing a shear strain with a peak-to-peak amplitude of 5%, N, obtained from undrained cyclic simple shear tests on Hamaoka sand with a relative density of 5% and compacted plates cured for 7 and 28 days. Whereas liquefaction occurred in 1% Hamaoka sand, reaching a strain with a peak-to-peak amplitude of 5%, no liquefaction occurred in the compacted plates. The cyclic strength of the compacted plates was approximately 1. in terms of the stress ratio, being significantly higher than unimproved sand. 2.2 Test procedure Shaking table tests were conducted using shear soil tanks measuring by.8 by 1. m in a gravitational force field. Figure 3 shows a schematic of the test model. Measurement was made using accelerometers, piezometers, and strain gauges in the, an accelerometer and laser displacement gauge on the superstructure, and accelerometers and laser displacement gauges on the shear frame. The model consisted of a liquefiable layer 6 cm in depth on a non-liquefiable layer 4 cm in depth. The non-liquefiable layer was prepared by pluviating dry sand and then compacting to a relative density of 8% by actuating the shaking table. The liquefiable upper layer was prepared by pluviating dry sand while placing precompacted plates at the specified levels. The initial relative density of the upper layer was approximately 35%. The was satud to the surface by pouring water from the bottom before being subjected to shaking. After saturating the, a model structure measuring 2 by 2 by 2 cm simulating a spread foundation building was placed in the center of the surface. Cyclic shear stress ratio cyc / ' m Tab. Compositions of chemical grout and strength of compacted plates A liquid B liquid Compressive strength 1..5 Solution name Volume(ml) ASF silica 6 AKUTA M 16 Water 124 PR silica 6 Water 14 q u7(kpa) 12 q u28(kpa) 159 1.5 sand Care on the 28th sand Care on the seventh Hamaoka sand(dr=5%). 1 1 1 Repeated time N 1 Fig.2 Relationship between cyclic shear stress ratio and number of cycles

Shaking table testing of liquefiable improved by multi-layer solid White noises with a maximum acceleration of 2 gal (L-1 input) and 4 gal (L-2 input) were applied to each of the model s with and without compacted plates. Model s containing compacted plates were made with five different improvement percentages (total thickness of compacted plates / depth of liquefiable layer) as shown in Fig. 4. Figure 5 shows the input acceleration waveform with a maximum of 4 gal. Acceleration(gal) D1 D2 D3 D4 D5 D6 Liquefaction Dr=35% Mon-liquefaction Dr=8% D7 1 1 1 1 1 1 P6 P5 P4 D8 Structure model A9 A8 A7 A11 A1 Fig.3 The outline of a model experiment Fig.4 Experiment cases Fig.5 Input acceleration waveform 2 2 125 A6 P3 A5 P2 A4 P1 A3 Laser displacement gauge Acceleration meter Pore water pressure meter (%) Liquefaction Dr=35% Mon-liquefaction Dr=8% 4 2-2 (8.3%) (25%) (5%) 2 2 2 (1%) -4 1 2 3 Time(sec) A2 A1 6 4 unit:(mm) 6 4 unit:(mm) 4 3. Results and discussion 3.1 Changes in the response values over time Figure 6 shows the changes in the sensor output s recorded during L-2 input. The records on the left, center, and right represent the results of models with no improvement, 5% improvement, and 1% improvement, respectively. The first row represents the acceleration responses at the top of the structure (A7). The response acceleration at the top of the structure increases as the improvement percentage increases, while the period of the waveform decreases. The second row compares the response accelerations at the surface (A6, solid line), top of the compacted plate (A11, solid line) and the bottom of the soil tank (A1, dotted line). The response accelerations at the surface and top of the compacted plate show similar tendencies as those of the model structure with the same improvement percentage, but reveals significant amplification on the structure in the case of 1% improvement. The third row compares the horizontal response displacement of the model structure (D7, solid line) and the top of the shear frame (D1, dotted line). The phases of response of the structure and the top of the shear frame are the same in all cases, suggesting no localized changes in the horizontal displacements on the same level of the. The fourth row shows the settlement of the model structure. The settlement decreases as the improvement percentage increases. When referring to other response values, the settlement is found to occur mostly during the loading time, while being scarcely found thereafter in the dissipation phase of the pore water pressure. The fifth to seventh rows compare the excess pore water pressure ratios in the nearby (solid line) and the under the structure (dotted line). The excess pore water pressure ratios

Fujita Technical Research Report No.4 Acceleration(gal) Acceleration(gal) Horizontal displacement(mm) Vertical displacement(mm) Pore wate r pressure ratio Pore water pressure ratio Pore water pressure ratio 5-5 5-5 2 1-1 -2 2 15 1 5.8.4. -.4.8.4. -.4.8.4 The top of structure model(a7) 5 The top of structure model(a7) 5 The top of structure model(a7) Dotted line A6 Solid line A1 Solid line D7 Dotted line D1-5 5-5 2 1-1 -2 The top of structure model(d8) 2 The top of structure model(d8) 2 The top of structure model(d8) Solid line P3(-12.5cm) Dotted line P6(-12.5cm) Solid line P2(-32.5cm) Dotted line P5(-32.5cm) 15 1 5.8.4. -.4.8.4. -.4.8.4 Dotted line A11 Solid line A1-5 5-5 Solid line D7 2 Dotted line D1 1 Solid line P3(-12.5cm) Dotted line P6(-1.cm) Solid line P2(-32.5cm) Dotted line P5(-3.cm) Solid line P1(-52.5cm) Dotted line P4(-5.cm) -1-2 15 1 5.8.4. -.4.8.4. -.4.8.4 Dotted line A11 Solid line A1 Solid line D7 Dotted line D1 Solid line P3(-12.5cm) Dotted line P6(-1.cm) Solid line P2(-32.5cm) Dotted line P5(-3.cm) Solid line P1(-52.5cm) Dotted line P4(-5.cm). Solid line P1(-52.5cm).. Dotted line P4(-52.5cm) -.4 -.4 -.4 1 2 3 4 1 2 3 4 1 2 3 4 Time sec Time sec Time sec (a) % (b) 5% (c) 1% Fig. 6 The time history response of each sensor (L-2 input) Depth(cm) Excess pore water pressure (kpa) 2 4 6-1 : % : 5% -2 : 1% -3-4 Depth(cm) Excess pore water pressure (kpa) 2 4 6-1 : % -2 : 5% : 1% -3-4 Depth(cm)..5 1. 1.5 4gal -1-2 -3-4 Excess pore water pressure ratio : % : 5% : 1% -5-6 Circumference 4gal -5-6 4gal (a) Circumference part (b) part Fig. 7 Maximum excess pore water pressure profiles (L-2 input) -5-6 Fig. 8 Distribution of maximum excess pore water pressure ratio (L-2 input)

Shaking table testing of liquefiable improved by multi-layer solid were determined by normalizing the measurements by the effective overburden pressure obtained from a preliminary deadweight analysis. The time-related changes in the measurements at upper nearby (P3) show vertical movements corresponding to the phase of horizontal displacement, suggesting the effect of the shear frame on the pore water pressure. The excess pore water pressure ratios in the nearby exceeded.8 in all cases, indicating liquefaction of the. The measurements in the 1% improved under the structure show little excess pore water pressure in the improved. 3.2 Maximum response (a) Excess pore water pressure profiles Figure 7 ((a) and (b)) shows the vertical distributions of maximum pore water pressure in the nearby and under the structure during the L-2 input motion. The maximum excess pore water pressure values in the nearby generally show tendencies similar to the results with no improvement (%) except for a few measuring points, indicating liquefaction of the. With respect to the maximum excess pore water pressure in the under the structure, the piezometers for 1% improvement were set in the compacted plates, whereas those for partially improved cases were set in the unimproved sand. It is evident that little pore water pressure develops in the compacted plates, as the maximum excess pore water pressure in the 1% improved is lower than in other cases. However, the maximum excess pore water pressure of partially improved is high, even exceeding the values in the nearby in some cases. This can be attributed to the effect of the increase in the overburden pressure resulting from the presence of a structure with spread foundations, but is considered to be due mainly to the differences in the acceleration responses stated below. Figure 8 shows the distribution of the maximum excess pore water pressure ratio in the under the structure normalized by dividing by the effective overburden pressure determined from a deadweight analysis. This figure reveals that the excess pore water pressure ratio increases as the depth increases, excepting the case of 1% improvement. The upper part is less prone to liquefaction due to the shakedown during the vibration, while being strongly affected by the increase in the overburden pressure resulting from the deadweight of the structure. (b) Maximum acceleration profiles Figures 9 (a) and (b) show the vertical Maximum of absolute acceleration(gal) 1 2 3 4 5 6 2 Maximum of absolute acceleration(gal) 1 2 3 4 5 6 2-2 -2 Depth (cm) -4-6 -8-1 : % : 5% : 1% Circumference 4gal (a) Circumference part Depth (cm) -4-6 -8-1 : % : 5% : 1% 4gal (b) part Fig. 9 Maximum acceleration profiles (L-2 input)

Fujita Technical Research Report No.4 distribution of the maximum acceleration during the input motion of L-2 in the nearby and under the model structure, respectively. The accelerations in the nearby are similarly attenuated by the softening/liquefaction of the upper layer ( to 6 cm from the surface) in all cases. However, the acceleration near the surface tends to increase as the improvement percentage increases due to the presence of compacted plates. In the under the model structure, a tendency for attenuation depending on the improvement percentage is recognized in the upper layer ( to 6 cm) similarly to the nearby. In the case of 1% improvement, however, the acceleration is significantly amplified near the surface in contrast to other cases. Whereas the results of surface improvement (8% improvement) tend to coincide with those of no improvement (% improvement), the results of multi-layer improvement of 25% and 5% tend to coincide, even though their degrees of reducing the acceleration are low. These groups characterize the acceleration profiles. 3.3 Relationship between improvement percentage and effect of improvement Figure 1 shows the magnification of the acceleration on the surface in response to an L-2 input motion with respect to the bottom of the upper layer (-6 cm) versus the improvement percentage for both the improved under the model structure and the nearby. The magnification of the response acceleration of the improved increases as the improvement percentage increases. Similar tendencies are observed in the nearby, though not so evident as in the improved. Figure 11 shows the relationship between the amplification ratio of the response acceleration and the improvement percentage in the improved under the model structure during the input motion of L-2. The amplification ratio of the response acceleration in this figure is determined by normalizing the magnification of the response acceleration shown in Fig. 1 by the magnification of the response acceleration of the unimproved case (% improvement). This figure reveals that the improvement percentages of 5% and 1% lead to a 2x and an approximately 3x respectively. It is therefore evident that a relatively high vibration-damping effect is achieved by partial improvement permitting partial softening and liquefaction of the. Response acceleration magnification (G.L.. G.L.-6cm) 1..8.6.4 Solid line : Dotted line : Circumference.2 25 5 75 1 (%) Fig.1 Relationship between magnification of Amplification of acceleration (Each case/no improvement case) response acceleration and improvement percentage 3. 2.5 2. 1.5 (4gal) 1. 25 5 75 1 (%) Fig.11 Relationship between amplification ratio and improvement percentage

Shaking table testing of liquefiable improved by multi-layer solid Figure 12 shows the relationship between the maximum settlement and the improvement ratio. The settlement is found to decrease as the improvement ratio increases. Since the settlement is less than 1 mm for the 1% improved, the compressibility of the chemical-compacted sand is significantly smaller than that of uncompacted. It is also found that an increase in the input acceleration level leads to an increase in the settlement greater than the magnification of the acceleration. It should be noted that the actual input acceleration of L-1 and L-2 varies, though the target maximum accelerations are 2 and 4 gal for L-1 and L-2, respectively. The settlement values shown in Fig. 12 were therefore corrected with respect to input accelerations of 2 and 4 gal from the relationship between the input acceleration and the maximum settlement. Figure 13 shows the corrected settlement of improved divided by the corrected settlement of unimproved versus the improvement percentage. This figure clearly expresses the settlement-inhibiting effect depending on the improvement percentage. The settlement of the with an improvement percentage of 5%, for instance, is reduced to less than 3% of that of unimproved (% improvement), indicating that the settlement-inhibiting effect is greater than the improvement percentage. Since similar relationships are observed for both input accelerations, this type of improvement is considered to allow selection of the improvement percentage according to the required level of settlement of the structure. 4. Conclusions The -improving effect of multi-layer chemical compaction was investigated by shaking table testing. As a result, the following were found: Whereas the magnification of the response acceleration increases as the improvement increases, the effectiveness of partial improvement The amount of subsidence(mm) 2 15 1 5 25 5 75 1 Fig.12 Relationship between settlement of structure Subsidence (Each case/non-improved case) and improvement percentage 1..8.6.4.2 Fig.13 Relationship between settlement ratio and improvement percentage permitting partial softening and liquefaction of the is relatively high when compared with full improvement. The relationship between the settlement and the improvement percentage tends to be similar regardless of the level of input acceleration, indicating that the settlement-inhibiting effect of the multi-layer chemical compaction exceeds the improvement percentage. Dotted line : 2gal Solid line : 4gal (%). 25 5 75 1 (%) : 2gal : 4gal

Fujita Technical Research Report No.4 Acknowledgements The thesis is a report of the result of a joint research executed in FUJITA CORPORATION, Sumitomo Mitsui Construction Co., Ltd., and Yamaguchi University. The author would like to express their deep sense of gratitude to Prof. F.Miura (Yamaguchi Univ.), Prof. M.Hyodo (Yamaguchi Univ.), Mr. N.Yoshimoto (Yamaguchi Univ.), Dr. Y.Yamamoto (Sumitomo Mitsui Construction) and Mr. N.Takahashi (Sumitomo Mitsui Construction). References 1) Hirai Y, Kakurai M, Maruoka M, Yamashita K, Aoki M. Behavior and evaluation of spread foundations on liquefied reclaimed artificial. The Foundation Engineering & Equipment, Vol.24, No.11, pp.6~66, 1996. 2) Kakurai M, Aoki M, Hirai M, Matano H. Investigation of Spread Foundations on Liquefied Man-made Islands The Japanese Geotechnical Society, Vol.44, No.2, pp.64~66, 1996. 3) Earthquake Engineering Committee, JSCE, Guidelines for structural design methods for vibration damping, base isolation and vibration control 22. 4) Fukutake K. Ground isolation due to liquefaction and its effect on structure (Part2) PROCEEDINGS OF THE THIRTY-SIXTH JAPAN NATIONAL CONFERENCE ON GEOTECHNICAL ENGINEERING, PP.1735~1736, 21. 5) Fukutake K. Base isolation foundation utilizing nonlinearity of weak focusing on base isolation by positive utilization of liquefaction The Foundation Engineering & Equipment, Vol.3, No.12, pp.21~28, 22. 6) Fukutake K. Ground Isolation Technique Utilizing Liquefaction Phenomena The Japanese Geotechnical Society, Vol.51, No.3, pp.31~33, 23. 7) Yonekura R, Shimada S, Mechanism of the permanentness of permanent grout Civil Engineering Journal, Vol.4, No.7, pp.99~16, 1999. Takahiro Kishishita Short comment The model shaking table test at current year confirmed the effect of the multi layer foundation improvement work. The design technique is scheduled to execute the earthquake response analysis by an effective stress, and to be proposed in the future