Lecture31-Evaluation of Liquefaction

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    Evaluation of Liquefaction

    Lecture-31

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    Evaluation of Liquefaction Potential

    Since the first widespread observations of liquefaction in the1964 Niigata and 1964 Alaska earthquakes, liquefaction hasbeen responsible for significant damage to buildings andbridges in numerous earthquakes.

    The phenomenon of liquefaction has been studied

    extensively over the past 40 years and substantial advancesin the understanding of its development and effects havebeen made.

    These advances have led to a series of practical procedures

    for evaluating the potential for liquefaction occurrence andfor estimating the effects of liquefaction.

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    Evaluation of Liquefaction Potential

    Evaluation of liquefaction hazards involves three primary steps.

    1. The susceptibility of the soil to liquefaction must be evaluated. If the soil is

    determined to be not susceptible to liquefaction, liquefaction hazards do not

    exist and the liquefaction hazard evaluation is complete. If the soil is susceptible

    to liquefaction, the evaluation moves to the second step.

    2. Evaluation of the potential for initiation of liquefaction. This step involvescomparison of the level of loading produced by the earthquake with the

    liquefaction resistance of the soil. If the resistance is greater than the loading,

    liquefaction will not be initiated and the liquefaction hazard evaluation can be

    considered complete. If the level of loading is greater than the liquefaction

    resistance, however, liquefaction will be initiated. If liquefaction is initiated, the

    evaluation moves to the third stage

    3. evaluation of the effects of liquefaction. If the effects are sufficiently severe, the

    engineer and owner may consider improvement of the site, or alternative sites

    for the proposed development.

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    Liquefaction Susceptibility

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    Factors that govern liquefaction in field

    Ground water table

    Liquefaction only occurs for soils that are located below thegroundwater table. Unsaturated soil located above the

    groundwater table will not liquefy.

    At sites where the groundwater table significantly fluctuates, the

    liquefaction potential will also fluctuate. Generally, the historic

    high groundwater level should be used in the liquefaction analysis.

    If it can be demonstrated that the soils are currently above the

    groundwater table and are highly unlikely to become saturated for

    given foreseeable changes in the hydrologic regime, then such

    soils generally do not need to be evaluated for liquefaction

    potential.

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    Factors that govern liquefaction in field

    Soil Type

    The soil types susceptible to liquefaction are mostly nonplastic

    (cohesionless) soils.

    In order for a cohesive soil to liquefy, it must meet all the following

    three criteria:1. The soil must have less than 15 percent of the particles, based on

    dry weight, that are finer than 0.005 mm (i.e., % finer at 0.005 mm

    0.9 (LL)].

    If the cohesive soil does not meet all three criteria, then it is

    generally considered to be not susceptible to liquefaction. 7

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    Factors that govern liquefaction in field

    Relative density of soil

    Based on field studies, loose cohesionless soils will contract during

    the seismic shaking which will cause the development of excess

    pore water pressures leading to liquefaction. Upon reaching initial

    liquefaction, there will be a sudden and dramatic increase in shear

    displacement for loose sands

    For dense sands, the state of initial liquefaction does not produce

    large deformations because of the dilation tendency of the sand

    upon reversal of the cyclic shear stress.

    Dilative soils are not susceptible to liquefaction because their

    undrained shear strength is greater than their drained shear

    strength.

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    Factors that govern liquefaction in field

    Grain size distribution and particle shape

    Uniformly graded nonplastic soils tend to form more unstable particlearrangements and are more susceptible to liquefaction than well-graded

    soils.

    Well-graded soils will also have small particles that fill in the void spaces

    between the large particles. This tends to reduce the potential contraction

    of the soil, resulting in less excess pore water pressures being generated

    during the earthquake.

    Field evidence indicates that most liquefaction failures have involved

    uniformly graded granular soils

    Soils having rounded particles tend to densify more easily than angular-shapesoil particles. Hence a soil containing rounded soil particles is more

    susceptible to liquefaction than a soil containing angular soil particles

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    Factors that govern liquefaction in field

    Placement condition/ Depositional environment

    Hydraulic fills (fill placed under water) tend to be more

    susceptible to liquefaction because of the loose and segregated

    soil structure created by the soil particles falling through water.

    Natural soil deposits formed in lakes, rivers, or the ocean alsotend to form a loose and segregated soil structure and are

    more susceptible to liquefaction.

    Drainage conditions

    If the excess pore water pressure can quickly dissipate, the soil

    may not liquefy. Thus highly permeable sand/gravel drains or

    gravel layers can reduce the liquefaction potential of adjacent

    soil.10

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    Factors that govern liquefaction in field

    Confining pressures

    The greater the confining pressure, the less susceptible the soil

    is to liquefaction. Conditions that can create a higher

    confining pressure are a deeper groundwater table, soil that

    is located at a deeper depth below ground surface, and a

    surcharge pressure applied at ground surface.

    Case studies have shown that the possible zone of liquefaction

    usually extends from the ground surface to a maximum depth

    of 15 m. Deeper soils generally do not liquefy because of the

    higher confining pressures.

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    Factors that govern liquefaction in field

    Ageing of the deposit

    Newly deposited soils tend to be more susceptible to liquefaction

    than older deposits of soil. It has been shown that the longer a

    soil is subjected to a confining pressure, the greater will be the

    liquefaction resistance

    The increase in liquefaction resistance with time could be due to

    the deformation or compression of soil particles into more

    stable arrangements. With time, there may also be the

    development of bonds due to cementation at particle contacts

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    Factors that govern liquefaction in field

    Previous earthquake history

    Older soil deposits that have already been subjected to seismic shaking

    have an increased liquefaction resistance compared to a newly

    formed specimen of the same soil having an identical density.

    Liquefaction resistance also increases with an increase in the

    overconsolidation ratio (OCR) and the coefficient of lateral earth

    pressure at rest k0.

    An example would be the removal of an upper layer of soil due to

    erosion. Because the underlying soil has been preloaded, it will

    have a higher overconsolidation ratio and it will have a highercoefficient of lateral earth pressure at rest k0. Such a soil that has

    been preloaded will be more resistant to liquefaction than the same

    soil that has not been preloaded.

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    Factors that govern liquefaction in field

    Loads from superstructure

    The construction of a heavy building on top of a sand deposit can

    decrease the liquefaction resistance of the soil.

    The reason for this is the soil underlying the building will already

    be subjected to certain amount of shear stresses caused bythe building load. A smaller additional shear stress will be

    required from the earthquake in order to cause contraction

    and hence liquefaction of the soil.

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    Steady State Line as boundary for liquefaction

    SSL marks the boundary between contractive and dilative behaviour andseparates the states in which a particular soil is susceptible or notsusceptible to flow liquefaction.

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    Liquefaction Potential

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    Cyclic Stress Approach: In the cyclic stress approach, boththe loading imposed on the soil by the earthquake and theresistance of the soil to liquefaction are characterized interms of cyclic shear stresses. By characterizing both

    loading and resistance in common terms, they can bedirectly compared to determine the potential forliquefaction.

    Cyclic Strain Approach:In the cyclic stress approach, both

    the loading imposed on the soil by the earthquake and theresistance of the soil to liquefaction are characterized interms of cyclic shear strains.

    Evaluation of Liquefaction Potential

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    Estimation of two variables is required for evaluation ofliquefaction potential of soils by cyclic stress approach.

    1. The seismic demand on a soil layer, expressed in terms of

    Cyclic Stress Ratio, CSR (CSR induced by the earthquake)

    2. The capacity of the soil to resist liquefaction, expressed interms of Cyclic Resistance Ratio, CRR.(CSR required to

    cause liquefaction)

    Cyclic Stress Approach

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    Estimation of two variables is required for evaluation ofliquefaction potential of soils by cyclic stress approach.

    1. The seismic demand on a soil layer, expressed in terms of

    Cyclic Stress Ratio, CSR (CSR induced by the earthquake)

    2. The capacity of the soil to resist liquefaction, expressed interms of Cyclic Resistance Ratio, CRR.(CSR required to

    cause liquefaction)

    Characterization of Loading

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    For the purposes of liquefaction evaluation, loading is typically

    characterized in terms of the cyclic stress ratio, CSR, which is defined as

    the ratio of the equivalent cyclic shear stress, cyc, to the initial vertical

    effective stress, .

    The equivalent cyclic shear stress is generally assumed to be equal to

    65% of the peak cyclic shear stress, a value arrived at by comparing rates

    of porewater pressure generation caused by transient earthquake shear

    stress histories with rates caused by uniform harmonic shear stress

    histories. The factor was intended to allow comparison of a transientshear stress history from an earthquake of magnitude, M, with that of N

    cycles of harmonic motion of amplitude 0.65max ,where N is an

    equivalent number of cycles of harmonic motion.

    Characterization of Loading

    '

    vo

    '

    vo

    cycCSR

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    Evaluation of Liquefaction Potential

    Cyclic Stress Approach

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    Stress Reduction Factor rd

    Fig: Variation of rd with depth below level or gently sloping ground surfaces

    (Seed and Idriss, 1971)

    22Source: Kramer (1996)

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    Characterization of Resistance

    Lab Based Approach:

    (a) loose soil that reaches initial liquefaction after 9 cycles and

    (b) dense sand with much higher loading amplitude that does not reach initial

    liquefaction after 16 cycles. (Ishihara, 1985) 23

    Source: Kramer (1996)

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    (CRR)triaxial= dc/2 3c

    (CRR)ss= cr (CRR)triaxial

    CSR required to produce initial liquefaction in field is about 10% less

    than that required in laboratory simple shear tests (Seed et al., 1975)

    (CRR)field= cyclic/v0 = 0.9 (CRR)ss= 0.9 cr (CRR)triaxial

    Cr= (1+k0)/2 Finn et al. (1971)

    Lab Based Approach:

    Characterization of Resistance

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    From SPT N value:

    Characterization of Resistance

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    From SPT N value:

    Characterization of Resistance

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    Characterization of ResistanceFrom SPT N value:

    Fig: Relationship between cyclic stress ratio and (N1)60 for Mw = 7.5

    earthquakes27

    Source: Kramer (1996)

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    Correction factors for obtaining CSR for earthquake magnitudes other than

    7.5 have been proposed by various researchers

    Magnitude CSRM/CSRM=7.5

    1.50

    6 1.32

    1.13

    1.00

    0.89

    4

    15

    4

    3

    6

    2

    17

    2

    18

    Characterization of Resistance

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    Characterization of ResistanceFrom CPT value:

    Fig: Relationship between cyclic stress ratio and normalized cone resistance

    (Mitchell and Tseng, 1990)29

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    Cyclic Stress Approach:

    Zone of Liquefaction

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    Evaluation of Liquefaction Potential: Cyclic Strain Approach

    In the cyclic strain approach, earthquake-induced loading is expressed in terms of

    cyclic strains.

    The time history of cyclic strain in an actual earthquake is transient and irregular. To

    compare the loading with laboratory measured liquefaction resistance, it must be

    represented by an equivalent series of uniform strain cycles. The conversion procedure

    is analogous to that used in the cyclic stress approach. . Cyclic strains are considerably

    more difficult to predict accurately than cyclic stresses.

    Dobry et al. ( 1982) proposed a simplified method for estimating the amplitude of the

    uniform cyclic strain from the amplitude of the uniform cyclic stress using equation:

    Where G(gcyc) = shear modulus of the soil at g= gcyc

    If gcycis less than the threshold shear strain, then no pore pressure will be generated

    and consequently liquefaction can not be initiated.

    cy cG

    r

    g

    a dvcyc

    g

    g

    max65.0

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    Characterization of Resistance

    Cyclic Strain Approach:

    Dobry and Ladd (1980) 32

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    Zone of Liquefaction

    Cyclic strain Approach:

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    Factor of Safety Against Liquefaction

    Factor of Safety against liquefaction FSL= CRR / CSR

    CRR: Cyclic Resistance Ratio / Cyclic Shear stress required to

    cause Liquefaction

    CSR: Cyclic Stress Ration/ Cyclic shear stress induced by the

    earthquake

    For the soil to be safe against liquefaction, FSLshould be more

    than 1.

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    Kramer, S.L. (1996) Geotechnical Earthquake Engineering, Prentice Hall.

    Jefferies, M. Been, K. (2006) Soil Liquefaction: A critical state approach, Taylor &

    Francis.

    Day, R.W. (2001) Geotechnical Earthquake Engineering Handbook, McGraw-Hill.

    Braja M. Das, Ramana G.V. (2010) Principles of soil dynamics, C L Engineering.

    Prakash, S. (1981) Soil Dynamics, McGraw-Hill.

    Idriss, I.M. and Boulanger, R. (2006) Soil liquefaction during earthquakes, EERI.

    References