SHIV SHANKAR KUMAR A. MURALI KRISHNA, … Corner/2017/Kumar...motions are congregated over a...

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ICOVP, 13 th International Conference on Vibration Problems 29 th November 2 nd December, 2017, Indian Institute of Technology Guwahati, INDIA EFFECT OF STRONG MOTION PARAMETERS ON THE RESPONSE OF SOIL USING CYCLIC TRIAXIAL TESTS SHIV SHANKAR KUMAR CR, PR , A. MURALI KRISHNA, ARINDAM DEY Indian Institute of Technology Guwahati, Assam 781039, India [email protected], [email protected], [email protected] Abstract. Dynamic response of soil is significantly affected by stress history and the frequency contents of irregular vibration corresponding to PGA levels. This paper addresses the effect of strong motion parameters on the response of saturated sandy soil. Stress-controlled cyclic triaxial tests have been conducted at different relative densities (30%-90%) and confining pressures (50-150kPa). Cyclic loading in terms of irregular stress, evaluated using simplified procedure proposed by Seed and Idriss (1971), was applied on the test specimens. The responses have been presented in terms of excess pore-water pressure ratio and shear strain accumulation in the soil specimens. The results indicated that the accumulated shear strains and excess pore- water pressures in the soil specimens is significantly affected by the increase in confining depth and simultaneous changes in the relative density. Further, the study emphasized that the strong motions scaled to the same PGA levels produce substantially differing soil response due to the variation in the associated strong motion parameters. Keywords: Irregular seismic excitation, Strong motion parameters, Cyclic triaxial test, Cohesionless soil, Shear strain, Excess pore-water pressure 1. Introduction Dynamic behaviour of soils and associated liquefaction aspects are very important considerations in earthquake geotechnical engineering. To study the dynamic behaviour and subsequent evaluation of dynamic soil properties, different laboratory tests using variety of test specimen and loading conditions are conducted (Seed and Idriss, 1970; Hardin and Drnevich, 1972; Iwasaki et al., 1978; Kokusho et al., 1982; Seed et al., 1986; Chung et al., 1989; Vucetic and Dobry, 1991; Ishibashi and Zhang, 1993; Stokoe et al., 1995; Sitharam and Govindaraju, 2003). Most of the tests, in general, use regular harmonic excitations as cyclic loading. However, it is very well established that the behaviour of soil under real earthquake excitation (irregular) is largely different in comparison to the regular harmonic excitations. This is mainly due to wide range of frequency content and associated ground motion parameters in the irregular motions. Shear stresses induced by real-time strong motions are extremely irregular and possesses erratic temporal variation of magnitude and frequency. Hence, it is very essential to study the behaviour of soil under real seismic excitations. Instances of investigation of soil response in the laboratory using real earthquake motion are very limited (Ishihara and Yasuda, 1972, 1973, 1975; Tsukamoto et al., 2004; Sawada et al., 2006). The dynamic behaviour of soils is influenced by various parameters, namely stress or strain levels (magnitude of earthquake), soil type, saturation state of soil and in-situ stress conditions. Several researchers have performed cyclic triaxial tests under variety of test conditions to anticipate the effect of the above- mentioned parameters (Seed and Lee, 1966; Dobry et al., 1982; Vucetic and Dobry, 1988;

Transcript of SHIV SHANKAR KUMAR A. MURALI KRISHNA, … Corner/2017/Kumar...motions are congregated over a...

  • ICOVP, 13th International Conference on Vibration Problems

    29th November 2nd December, 2017, Indian Institute of Technology Guwahati, INDIA

    EFFECT OF STRONG MOTION PARAMETERS ON THE RESPONSE OF SOIL

    USING CYCLIC TRIAXIAL TESTS

    SHIV SHANKAR KUMARCR, PR, A. MURALI KRISHNA, ARINDAM DEY

    Indian Institute of Technology Guwahati, Assam 781039, India

    [email protected], [email protected], [email protected]

    Abstract. Dynamic response of soil is significantly affected by stress history and the frequency contents of

    irregular vibration corresponding to PGA levels. This paper addresses the effect of strong motion parameters

    on the response of saturated sandy soil. Stress-controlled cyclic triaxial tests have been conducted at different

    relative densities (30%-90%) and confining pressures (50-150kPa). Cyclic loading in terms of irregular

    stress, evaluated using simplified procedure proposed by Seed and Idriss (1971), was applied on the test

    specimens. The responses have been presented in terms of excess pore-water pressure ratio and shear strain

    accumulation in the soil specimens. The results indicated that the accumulated shear strains and excess pore-

    water pressures in the soil specimens is significantly affected by the increase in confining depth and

    simultaneous changes in the relative density. Further, the study emphasized that the strong motions scaled to

    the same PGA levels produce substantially differing soil response due to the variation in the associated strong

    motion parameters.

    Keywords: Irregular seismic excitation, Strong motion parameters, Cyclic triaxial test, Cohesionless soil,

    Shear strain, Excess pore-water pressure

    1. Introduction

    Dynamic behaviour of soils and associated liquefaction aspects are very important

    considerations in earthquake geotechnical engineering. To study the dynamic behaviour

    and subsequent evaluation of dynamic soil properties, different laboratory tests using

    variety of test specimen and loading conditions are conducted (Seed and Idriss, 1970;

    Hardin and Drnevich, 1972; Iwasaki et al., 1978; Kokusho et al., 1982; Seed et al., 1986;

    Chung et al., 1989; Vucetic and Dobry, 1991; Ishibashi and Zhang, 1993; Stokoe et al.,

    1995; Sitharam and Govindaraju, 2003). Most of the tests, in general, use regular harmonic

    excitations as cyclic loading. However, it is very well established that the behaviour of soil

    under real earthquake excitation (irregular) is largely different in comparison to the regular

    harmonic excitations. This is mainly due to wide range of frequency content and associated

    ground motion parameters in the irregular motions. Shear stresses induced by real-time

    strong motions are extremely irregular and possesses erratic temporal variation of

    magnitude and frequency. Hence, it is very essential to study the behaviour of soil under

    real seismic excitations. Instances of investigation of soil response in the laboratory using

    real earthquake motion are very limited (Ishihara and Yasuda, 1972, 1973, 1975;

    Tsukamoto et al., 2004; Sawada et al., 2006). The dynamic behaviour of soils is influenced

    by various parameters, namely stress or strain levels (magnitude of earthquake), soil type,

    saturation state of soil and in-situ stress conditions. Several researchers have performed

    cyclic triaxial tests under variety of test conditions to anticipate the effect of the above-

    mentioned parameters (Seed and Lee, 1966; Dobry et al., 1982; Vucetic and Dobry, 1988;

    mailto:[email protected],%[email protected],
  • Kumar, Krishna, Dey

    2

    Ladd et al., 1989; Ishihara, 1996). Due to the versatility in simulating medium to large

    strains in the soil sample, cyclic triaxial tests have been extensively used for investigating

    the dynamic behaviour of soil. In most of the literatures, tests were conducted with

    different irregular excitations at either a particular relative density or a particular confining

    pressure. The present study deals with the effect of relative density, confining pressure and

    the strong motion parameters on the response of soil in terms of accumulated shear strains

    and excess pore-water pressure.

    In the present study, response of Brahmaputra sand subjected to irregular seismic

    excitations has been investigated through cyclic triaxial tests. The tests have been

    conducted at different confining pressures (c = 50, 100, and 150 kPa) on the specimens

    prepared at different relative densities (Dr = 30, 60 and 90%). Test specimens subjected to

    different confining pressures represent the soils in the field located at different confining

    depths i.e. 5 m, 10 m and 15 m. The specimens were subjected to three different real

    earthquake excitations, namely Kobe (1995; PGA = 0.834g), Bhuj (2001; PGA = 0.103g),

    and Tezpur (2012; Scaled PGA = 0.36g) strong motions. The results were reported in terms

    of the excess pore-water pressure and shear strain accumulations.

    2. Experimental Investigation 2.1. Soil Characteristics

    Brahmaputra river sand (BS), collected from Guwahati region, Assam (India) has been

    used for the present study. The particle size distribution of the sand, obtained from sieve

    analysis (IS: 2720-IV), is shown in Fig. 1 which reflects that the soil falls within the zone

    of severely liquefaction susceptible soils (Tsuchida, 1970; Ishihara et al. 1980; Xenaki and

    Athanasopoulos, 2003). The specific gravity of the sand was found to be 2.7 (IS: 2720-III).

    The minimum and maximum dry unit weight (IS: 2720-XIV) were found to be 13.85

    kN/m3 and 16.84 kN/m3, respectively. The physical properties of the sand are summarized

    in Table 1. Based on the obtained results, BS classified as poorly graded sand (SP) (ASTM

    D2487).

    1E-3 0.01 0.1 1 100

    20

    40

    60

    80

    100

    Per

    cen

    tag

    e fi

    ner

    Praticle size (mm)

    Boundry for partially

    liquefiable zone

    Boundry for severely

    liquefiable zone

    Brahmaputra sand

    Figure.1. Particle size distribution

    2.2. Testing Apparatus

    Cyclic triaxial apparatus, facilitating both monotonic as well as cyclic loading, was used

    for the experimental investigations. The apparatus consists a loading frame of 100 kN,

    fitted with a pneumatic dynamic actuator, having a displacement range and operational

  • Effect of strong motion parameters on the response of soil using cyclic triaxial tests

    3

    frequency range of 0-30 mm and 0.01-10 Hz, respectively. The details of instrumentations

    available with the apparatus has been described in Kumar et al. (2017a).

    Figure.2. Cyclic triaxial setup and components

    2.3. Sample Preparation

    Dry pluviation technique was adopted to prepare the cylindrical specimens of BS having

    70 mm diameter and 140 mm height (ASTM D5311). A nominal vacuum pressure of 15-

    20 kPa has been used to maintain verticality of the specimen (Ishihara et al. 1978). In order

    to achieve a quick saturation and a substantial replacement of the pore-air, carbon dioxide

    (CO2), in gaseous form, was flushed through the specimen, for 10-15 minutes, with a

    pressure lesser than the applied cell pressure, followed by flushing with de-aired water. To

    attain the saturation, the cell pressure (CP) and back pressure (BP) were then gradually

    increased in stages while maintaining an almost constant differential pressure of 10 kPa

    and checking the pore pressure parameter (B) after each increment of CP. The saturation

    process was terminated as the back pressure (BP) reached 200 kPa and the corresponding

    B-value was obtained to be greater than 0.96. The test specimens were consolidated to the

    targeted effective stress levels, and were subsequently subjected to cyclic loading.

    2.4. Irregular Seismic Excitations

    Three different irregular stress time histories, computed from the acceleration histories of

    Bhuj (2001; PGA = 0.103g), Tezpur (2012; Scaled PGA = 0.36g) and Kobe (1995; PGA =

    0.834g) strong motions, have been used to evaluate the dynamic response of soil. The

    associated ground motion parameters of these earthquakes obtained from seismosignal are

    presented in Table 1. Figure 3 represents the acceleration histories and their corresponding

    frequency content obtained by the Fast Fourier Transformations (FFT) of the strong

    motions. Frequency-domain representation indicates the variation of energy content over a

    frequency band. It is observed that the significant energy content of Bhuj and Kobe strong

    motions are congregated over a frequency band of 0.5-4 Hz, while the same for Tezpur

    motion is found to be at 2-15 Hz. Apart from these acceleration histories of different PGA,

    all the ground motions were scaled to similar PGA levels (0.103 g and 0.36 g) for few of

  • Kumar, Krishna, Dey

    4

    the tests. Table 2 presents the ground motion parameters of scaled PGA to 0.103g of

    different earthquake motions. It can be observed that the three scaled ground motions

    (PGA = 0.103g) are also different because of the associated ground motion parameters

    such as predominant period (fundamental frequency), duration and energy levels.

    0 10 20 30 40 50 60-0.15-0.10-0.050.000.050.100.15

    Bhuj (0.103g)

    0 10 20 30 40 50 60-0.4

    -0.2

    0.0

    0.2

    0.4

    Tezpur (0.36g)

    Acc

    ele

    rati

    on

    (g)

    0 10 20 30 40 50 60

    -1.0

    -0.5

    0.0

    0.5

    1.0

    Kobe (0.834g)

    Time (s)

    0 5 10 15 20 25 300.00

    0.04

    0.08

    0.12

    0 5 10 15 20 25 300.00

    0.04

    0.08

    0.12

    0.16

    0 5 10 15 20 25 300.0

    0.2

    0.4

    0.6

    0.81.5 Hz

    2.4 Hz

    1.2 Hz

    Bhuj motion

    Tezpur motion

    FF

    T (

    g-s

    )

    Frequency (Hz)

    Kobe motion

    Figure.3. Acceleration time histories and frequency domain representation of input motion

    Table.1. Strong motion parameters for different earthquakes used for the analysis Strong

    motion parameters 2001 Bhuj

    2012

    Tezpur

    2012 Tezpur

    (Scaled motion)

    1995

    Kobe

    Magnitude 7.7 5.0 5.0 6.9

    Station Ahmadabad TZP TZP KJMA

    Site Class B B B B

    Distance from source 238 km - - 0.6 km

    Max. PGA (g) 0.103 0.027 0.36 0.834

    Predominant period (sec) 0.26 0.08 0.08 0.36

    Mean period (sec) 0.59 0.167 0.167 0.64

    Bracketed duration (sec) 55.8 34.05 28.30 21.90

    Significant duration (sec) 14.84 14.38 14.38 8.38

    Arias intensity (m/sec) 0.268 0.003 0.556 8.38

    Specific energy density (cm2/sec) 438.561 0.173 33.82 7573.270

    Cumulative absolute velocity (cm/sec) 470.413 46.67 653.42 2118.588

    vmax/amax (sec) 0.136 0.021 0.021 0.103

    Table.2. Ground motion parameters of scaled PGA = 0.103g of different earthquake

    motions Strong

    motion parameters 2001 Bhuj 2012 Tezpur 1995 Kobe

    Predominant period (s) 0.26 0.08 0.36

    Mean period (s) 0.60 0.167 0.64

    Bracketed duration (s) 55.18 28.3 21.92

    Significant duration (s) 14.3 15.35 8.38

    Arias intensity (m/s) 0.26 0.05 0.14

    Specific energy density (cm2/s) 438.56 2.9 128.57

    vmax/amax (s) 0.13 0.02 0.10

    Cyclic loading has been applied on the test specimen in terms of cyclic stress history,

    which was evaluated based on the accelerations and the effective stress on the sample. It

    was considered that the specimens tested at different effective confining stress are assumed

    to be located at different confining depths below the ground level. To evaluate the irregular

    shear stress () history induced by a real-time earthquake at any depth z within a soil

  • Effect of strong motion parameters on the response of soil using cyclic triaxial tests

    5

    deposit, the approach proposed by Seed and Idriss (1971), as exhibited by Eqn. 1, has been

    adopted.

    acc. ( )

    = ' c dg

    rg

    (1)

    1.0 0.00765 ; 9.15dr z for z m (2a)

    1.174 0.0267 ; 9.15 23dr z for z m (2b)

    acc. ( )2 = 2 ' d c d

    gr

    g (3)

    where, acc. (g) is the acceleration time history, c is the effective confining stress and rd is

    the stress reduction factor (Eqn. 2; Youd et al. 2001) accounting for the deformable

    characteristics of the soil specimen. The deviatoric stress history, to be applied during the

    experiment, was evaluated from the strong motion stress histories as per Eqn. 3. Cyclic

    stress ratio (CSR) of the cyclic loading can be evaluated as /c. Figure 4 shows typical applied deviatoric stress time histories of different ground motions with different PGA for

    a test specimen at 100 kPa confining stress i.e.at an approximated confining depth of 10 m.

    0 10 20 30 40 50 60-20

    -10

    0

    10

    20

    0 10 20 30 40 50 60-80

    -40

    0

    40

    80

    0 10 20 30 40 50 60-150-100

    -500

    50100150

    Bhuj motion (0.103g)

    'c= 100kPa

    Tezpur motion (0.36g)

    Dev

    iato

    ric

    stre

    ss (

    kP

    a)

    Kobe motion (0.834g)

    Time (s) Figure.4. Typical variation of deviator stress at c = 100 kPa for input excitations

    Table.3. Investigation parameters of irregular excitations Soil Irregular excitation PGA (g) Dr (%) Confining depth (m)

    Sand

    Bhuj 0.103

    30 5, 10, 15 Tezpur 0.360

    Kobe 0.834

    Bhuj 0.103

    30 10, 15 Tezpur 0.360

    Kobe 0.834

    Bhuj

    0.103 30, 60, 90 10 Tezpur

    Kobe

    Bhuj

    0.360 60 10 Tezpur

    Kobe

  • Kumar, Krishna, Dey

    6

    3. Results and Discussions

    Three strong motion excitations (Bhuj, Tezpur and Kobe motions as described earlier)

    have been chosen to study the behaviour of BS specimens under irregular seismic

    excitations at different relative densities and confining depths. Stress-controlled cyclic

    triaxial tests at undrained condition were conducted on BS specimens, summarized in

    Table 3. Test specimens were prepared at different relative densities (30, 60 and 90%) and

    were subjected to different confining pressures i.e. 50, 100 and 150 kPa representing the

    approximate soil confining depths to be 5, 10 and 15 m, respectively. Cyclic loading was

    applied on the soil specimens in the form of irregular excitations as explained earlier. Test

    results were presented in terms of developed shear strains and excess pore water pressures.

    Excess pore-water pressures (ue) are represented as excess pore-water pressure ratio (ru =

    ue /c).

    3.1. Effect of relative density

    Relative density, indicates the compactness of soil specimen and also an indicative of the

    degree of inter-particle interaction, plays a major role in defining the dynamic behaviour of

    cohesionless soils. The effect of relative density on the onset of liquefaction of the BS

    specimens at a confining stress of 100 kPa and subjected to Bhuj motion is presented in

    Fig. 5. It can be observed that ru decreases with the increase in Dr; maximum ru values of

    0.13, 0.09 and 0.08 are obtained for test specimens at Dr of 30%, 60% and 90%,

    respectively. Owing to the higher ratio of solid particles in a fixed volume representing a

    denser state, the quantity of induced pore-water pressure decreases and hence, a reduced ru

    was observed during the dynamic shaking. As a consequence, tests conducted at higher

    relative densities revealed lesser shear strain accumulation (< 0.04%). Specimens when

    subjected to Bhuj motion, no liquefaction was observed suggested by ru

  • Effect of strong motion parameters on the response of soil using cyclic triaxial tests

    7

    shear modulus (G) of different specimens, evaluated as a ratio of the maximum shear stress

    (applied) to the maximum shear strains (observed) for a given test, and as obvious, the

    shear modulus is found to increase with the increase in the relative density. Higher PGA

    also reflects lesser value of G because of the significant increase in ru.

    0 10 20 30 40 50 60-0.06

    -0.04

    -0.02

    0.00

    0.02

    0.04

    0.00

    0.09

    0.18

    0.27

    0.36 Shear strain ru

    Dr = 90%

    Dr = 60%

    Dr = 30%

    Bhuj motion (0.103g)

    0 10 20 30 40 50 60-0.06

    -0.04

    -0.02

    0.00

    0.02

    0.04

    Time (s)

    Sh

    ear s

    train

    (%

    )

    0.00

    0.09

    0.18

    0.27

    0.36

    Exces

    s p

    ore

    pre

    ssu

    re r

    ati

    o (r u

    )

    0 10 20 30 40 50 60-0.06

    -0.04

    -0.02

    0.00

    0.02

    0.04

    'c= 100 kPa

    0.00

    0.09

    0.18

    0.27

    0.36

    Figure.5. Strain accumulation and excess PWP ratio in BS specimens confined at 100 kPa

    for different Dr subjected Bhuj motion

    Table.4. Summary of investigations on BS specimens prepared at different relative density Input

    motion

    Dr

    (%)

    c

    (kPa) CSRmax

    max

    (%)

    max

    (kPa)

    G

    (MPa) ru,max Liquefaction

    Bhuj

    30

    100 0.092

    0.03 30.67 0.13

    No 60 0.03 9.2 30.67 0.09

    90 0.02 46.00 0.08

    Tezpur

    30

    100 0.327

    0.70 4.66 1.0

    Yes 60 0.52 32.7 6.27 1.0

    90 0.50 6.52 0.9

    Kobe

    30

    100 0.756

    15.0 0.50 1.0

    Yes 60 12.0 75.6 0.63 1.0

    90 5.00 1.51 1.0

    3.2. Effect of confining depth

    Effect of confining depth has been represented in terms of different confining pressures

    and the resulting shear stresses due to a given earthquake motion. In this attempt, the test

    specimens prepared at Dr = 30% are considered for different confining depths. Figure 6

    shows the results of such specimens subjected to different irregular stress loadings. Figure

    6a illustrates the accumulation of shear strain () and development of ru in the BS specimen

    subjected to Bhuj motion (PGA = 0.103g). It is observed that the max is nearly 0.01%,

    0.03% and 0.03% at confining depths of 5 m, 10 m and 15 m, respectively. An increase in

    the confining depth implies that the sample has been subjected to higher shear stress,

    which resulted in increased shear strain. Maximum excess pore pressures observed are

    very low (ru,max = 0.1

  • Kumar, Krishna, Dey

    8

    different depths, 10 and 15 m (with c = 100 and 150 kPa) showed identical response in

    terms of shear strain and pore pressure, which is again attributed to the low PGA level.

    BS specimens at different depths subjected to scaled Tezpur motion (PGA = 0.36g) with

    CSR ranging between 0.28-0.35 exhibited higher peak shear strains in the range of 0.06-

    1.8% (Fig. 6). Specimens subjected to confining stresses 100 and 150 kPa exhibited a clear

    onset of liquefaction as ru reaches nearly 1, while it was significantly lesser (ru,max = 0.25

    6%) has also been

    reported from ground response analysis studies using SHAKE and DEEPSOIL (Suetomi

    and Yoshida, 1998; Kumar et al. 2014a,b; Singhai et al. 2016). Specimens subjected to

    Kobe motion (PGA = 0.834g with CSR range of 0.65-0.80) exhibited ru = 1 at any of the

    confining pressures and a substantial residual shear strain (> 5%), thus clearly exhibiting

    the occurrence of liquefaction in the specimen. From the above illustration, it can be stated

    that the behaviour of BS specimens at different confining pressure is indicative of their

    supposed behaviour at different depths in the field subjected to strong motions.

    0 10 20 30 40 50 60-0.10

    -0.05

    0.00

    0.05

    0.10

    0.0

    0.2

    0.4

    0.6

    ru

    Shear strain

    'c = 50 kPa

    Tezpur motion (0.36g); Dr = 30%

    Shear strain

    ru

    Shear strain

    ru

    0 10 20 30 40 50 60-3

    -2

    -1

    0

    1

    2

    Time (s)

    Sh

    ear s

    tra

    in (

    %)

    0

    1

    2

    3

    Ex

    ces

    s p

    ore

    pre

    ssu

    re r

    ati

    o (r

    u)

    0 10 20 30 40 50 60-1.5

    -1.0

    -0.5

    0.0

    0.5

    1.0'c = 100 kPa

    'c = 150 kPa

    0

    1

    2

    Figure.6. Strain accumulation and excess PWP ratio histories of BS specimens at Dr =

    30% and different c for Tezpur motion

    Table. 5. Summary of investigations on BS specimen subjected to different c Input

    motion

    c

    (kPa)

    Dr

    (%) CSRmax

    max

    (%)

    max

    (kPa)

    G

    (MPa) ru,max Liquefaction

    Bhuj

    (0.103g)

    50

    30

    0.097 0.01 4.85 48.50 0.05

    No 100 0.092 0.03 9.2 30.67 0.13

    150 0.078 0.03 11.7 39.00 0.13

    Tezpur

    (0.36g)

    50

    30

    0.346 0.06 17.3 28.84 0.25 No

    100 0.327 0.70 32.7 4.67 1.00 Yes

    150 0.278 1.80 41.7 2.32 1.00

    Kobe

    (0.834g)

    50

    30

    0.802 8.00 40.1 0.50 1.00

    Yes 100 0.756 15.0 75.6 0.50 1.00

    150 0.645 18.0 96.7 0.54 1.00

    Table 5 summarizes the results demonstrating the effect of confining pressures (depth) and

    PGA levels of chosen strong motions. It can be stated that the BS specimens will manifest

  • Effect of strong motion parameters on the response of soil using cyclic triaxial tests

    9

    the onset of liquefaction behaviour beyond a PGA value of 0.36g. It has been noticed that

    the developed maximum shear strain (max) exceeds 0.5% for soils exhibiting liquefaction.

    Furthermore, at particular Dr and confining depth, the input motion of higher PGA reflect

    higher strain accumulation. Table 5 also illustrates that for a particular Dr, generation of

    excess PWP or liquefaction susceptibility of soil increases with the increase of confining

    depth for all input motions.

    0 10 20 30 40 50 60-0.06

    -0.04

    -0.02

    0.00

    0.02

    0.04

    -0.050.000.050.100.150.200.25

    Shear strain

    ru

    Dr = 60%, 'c= 100 kPa

    Bhuj motion (0.103g)

    0 10 20 30 40 50 60-0.06

    -0.04

    -0.02

    0.00

    0.02

    0.04Kobe motion (0.103g)

    Time (s)

    Sh

    ear s

    tra

    in (

    %)

    -0.050.000.050.100.150.200.25

    Exces

    s p

    ore

    pre

    ssu

    re r

    ati

    o (r u

    )

    0 10 20 30 40 50 60-0.06

    -0.04

    -0.02

    0.00

    0.02

    0.04Tezpur motion (0.103g)

    Shear strain ru

    Shear strain ru

    -0.050.000.050.100.150.200.25

    0 10 20 30 40 50 60-8-6-4-2024

    0

    1

    2

    3

    ru

    Shear strain

    Dr = 60%, 'c = 100 kPa

    Bhuj motion (0.36g)

    0 10 20 30 40 50 60-8-6-4-2024

    Kobe motion (0.36g)

    Time (s)

    Sh

    ear s

    train

    (%

    )

    Shear strain ru

    0

    1

    2

    3

    Exces

    s p

    ore

    pre

    ssu

    re r

    ati

    o (r

    u)

    0 10 20 30 40 50 60-1.0

    -0.5

    0.0

    0.5 Tezpur motion (0.36g)

    ruShear strain

    0

    1

    2

    3

    Figure.7. Strain accumulation and excess PWP ratio from scaled earthquake motion of

    PGA 0.103g and 0.36g at Dr = 60% and c = 100 kPa

    3.3. Effect of similarly scaled strong motions

    The results obtained from the experimental investigations conducted on the BS specimens

    based on irregular stress loading evaluated from scaled PGA to 0.103g and 0.36g, of

    different strong motions. Figure 7 depicts the effect of the three earthquake motions (with

    same PGA) on the BS specimens prepared at Dr = 60% and subjected to c = 100 kPa (10

    m depth). It was observed that none of the ground motions, when scaled to PGA = 0.103g,

    could initiate liquefaction in the BS specimen; while, liquefaction was observed in the

    a

    b

  • Kumar, Krishna, Dey

    10

    specimens for any of ground motions scaled to 0.36g. Though the PGA is same, the

    specimens exhibited different shear strain levels under different excitations. The overall

    behaviour of the specimens can clearly observed from the summary of the results presented

    in Table 6. It can be noted that BS specimens, prepared at particular Dr and c, subjected

    to the similarly scaled strong motions results in different magnitudes of maximum shear

    strain due to the variation in the associated strong motion parameters. From the table, it can

    be stated that Tezpur motion shows lowest values of max and ru,max in comparison to the

    Bhuj and Kobe motion, the highest magnitudes being manifested by the Bhuj motion. The

    reason for such behaviour is attributed to the varying strong motion parameters (Table 2)

    such as arias intensity, specific energy density, which exhibited similar trend of variation

    as that observed from the response of test results. Although other strong motions

    parameters such as predominant period, mean period, bracketed duration and significant

    duration (Table 2) might have a direct or indirect effect on the observed responses,

    however, the study of their individual effects is outside the scope of the present attempt.

    Table .6. Summary of results subjected to ground motions with same PGA Input

    motion

    Scaled

    PGA(g)

    Dr

    (%)

    c

    (kPa) CSRmax

    max

    (kPa)

    max

    (%)

    G

    (MPa) ru,max Liquefaction

    Bhuj

    0.103 60 100 0.092 9.2

    0.026 35.38 0.09

    No Tezpur 0.015 62.00 0.036

    Kobe 0.019 48.42 0.06

    Bhuj

    0.36 60 100 0.327 32.7

    4.00 0.817 1.00

    Yes Tezpur 0.52 6.29 1.00

    Kobe 2.50 1.30 1.00

    4. Conclusions

    The present study illustrates the effect of irregular seismic excitations (Bhuj, Tezpur and

    Kobe motion) on the dynamic response of Brahmaputra sand. The generation of excess

    pore water pressure, accumulation of shear strain due to cyclic loading and the onset of

    liquefaction was observed to be significantly affected by the state of the specimen

    manifested in terms of relative density and confining depth. Based on the present study, the

    following conclusions can be drawn:

    1. Due to higher inter-particle interaction and degree of compactness, an increase in the relative density leads to the decrement of the accumulated shear strain and the

    excess pore-water pressure ratio. The effect on accumulated shear strain is more

    prominent for higher PGA of the input motions, while lower PGA induces

    prominent effect on the developed excess pore-water pressure.

    2. BS specimens subjected to any of the strong motions exhibited onset of liquefaction when the maximum shear strain exceeded 0.5%, and hence, this magnitude of shear

    strain can be stated as the threshold shear strain for liquefaction.

    3. The time taken for the onset of liquefaction is governed by the nature of the applied strong motion. An impulsive strong motion, e.g. Tezpur/Kobe motion will exhibit a

    quick liquefaction phenomenon, while Bhuj motion will exhibit a gradual

    attainment of the onset due to its gradual rise towards PGA.

    4. An increase in the confining depth leads to the enhancement in the accumulated shear strain and excess pore-water pressure ratio, and hence, increases the

    liquefaction susceptibility of the sample. Such effect gets more pronounced with

    higher PGA of the input motion.

  • Effect of strong motion parameters on the response of soil using cyclic triaxial tests

    11

    5. Based on the results of BS specimens subjected to similarly scaled strong motions, it can be stated that specimens at any relative density will liquefy under the

    following optimum conditions: PGA > 0.36g, CSR > 0.3 and max > 0.5%.

    6. Cohesionless soil specimens subjected to similarly scaled strong motions exhibits varying accumulated shear strains and excess pore-water pressure ratios due to the

    variation of the other associated strong motion parameters such as arias intensity,

    specific energy density, predominant period, mean period, bracketed duration and

    significant duration. Individual and simultaneous effect of the strong motion

    parameters is bound to affect the dynamic response of cohesionless soil and needs

    to be studied in rigorous and minute detail.

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