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    LIQUEFACTION EVALUATIONS ATDOE SITES

    M. Lewis, M. McHood, R. Williams, B. GutierrezOctober 25, 2011

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    Agenda

    Background

    Purpose and Objective

    Liquefaction Methods

    Site Evaluations

    Aging

    Conclusions

    2

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    Background

    3

    Liquefaction at DOE Sites

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    Background

    Liquefaction evaluations are required at allDOE sites

    Methods have evolved over the years, butthere is currently only one consensusmethodology;

    Youd et al., 2001

    Two other methods have emerged in the lastfew years; Cetin et al., 2004

    Idriss & Boulanger, 2008

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    Background

    Youd et al., was the result of two workshops(NCEER/NSF) held in the late 1990s, culminatingin a NCEER report and a ASCE publication in2001. The method is widely used.

    Cetin et al., was the result of several doctoraldissertations and evaluations at University ofCalifornia-Berkeley. It culminated in a ASCEpublication in 2004.

    Idriss & Boulanger is the result of several MS &doctoral dissertations and evaluations atUniversity of California-Davis. It culminated inan EERI Monograph in 2008.

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    Background

    There is currently ongoing discussion in theprofession regarding the Cetin et al., andIdriss & Boulanger methods.

    There is no such discussion regarding Youd etal.

    This presentation will present results from

    each for comparison. We will also present results from the SRS site-

    specific methodology for comparison to Youdet al.

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    Purpose & Objectives

    7

    Liquefaction at DOE Sites

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    Purpose & Objectives

    The overall purpose is to present and showdifferences in each of the methodologies(Youd, Cetin, and Idriss & Boulanger) withrespect to liquefaction factor of safety (FS)

    Comparisons will be shown of variousparameters along with some discussion

    An added comparison will be made betweenthe SRS site-specific and Youd methodologiesto introduce a potential aging correction

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    Liquefaction Methods

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    Liquefaction at DOE Sites

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    Liquefaction Evaluation

    Methods Youd et al., 2001

    Only consensus liquefaction method NSF/NCEER Workshops in the 1990s

    ASCE Geotechnical Journal October 2001 Cetin et al., 2004

    Re-evaluated some key case histories ASCE Geotechnical Journal December 2004

    Idriss & Boulanger 2008 EERI Monograph 12 (MNO-12) SRS site-specific, 2008

    Results from site-specific laboratory testing

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    Liquefaction Methods

    For this comparative evaluation the Seed & Idrisssimplified equation will be used to calculate theearthquake demand.

    Each of the four methods will utilize the specificrecommendations of each method for the variousparameters (e.g., rd, MSF, CN, and K ).

    The evaluation with the 3 methods will utilize resultsfrom the standard penetration test (SPT), using the

    method-specific triggering relationship. The added comparison between the SRS and Youd

    methods will utilize the triggering relationshipsdeveloped for the Cone Penetration Test (CPT).

    11

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    Liquefaction Methods

    Just a reminder, the Seed/Idriss simplifiedequation;

    The safety factor against liquefaction isdefined as;

    12

    d

    vo

    vo

    vo

    ave rg

    aCSR

    '

    max

    '65.0

    age7.5 KKKMSF

    CSR

    CRRFS

    d

    vo

    vo

    vo

    ave rg

    aCSR max''

    65.0

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    Liquefaction Methods

    Where;

    CSR is the earthquake demand

    CRR is the soils capacity (resistance or strength)

    MSF the magnitude scaling factor

    K a correction for static shear stress (set to 1 for thiscomparison)

    K a correction for overburden pressure

    Kage a correction for age (set to 1 for the comparison ofthe 3 methods)

    vo and vo effective and total overburden pressures

    13

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    Liquefaction Methods

    Stress Reduction Coeff. (rd)

    Cetin et al., lower at all

    depths shown

    Youd et al., varies with depth

    Idriss & Boulanger changes

    with earthquake M and depth

    Cetin et al., changes with

    depth, M, amax and Vs

    Site response analysis

    eliminates these differences

    14

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    Liquefaction Methods

    MSF Comparison

    All three show similartrends

    All three are equal at Mw =7.5

    At Mw > 6.5, differences are

    minimal

    15

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    Liquefaction Methods

    K Correction

    Significant differences atshallow depths

    Values vary withoverburden pressure andrelative density (DR)

    Most level-groundevaluations are atoverburden pressures < 3.5to 4 tsf

    16

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    Liquefaction Methods

    SPT CN Correction

    All relationships converge

    at o

    = 1 tsf

    Relationships at o < 4 tsfare very similar

    At o > 6 tsf, differences

    can be important

    17

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    SPT Triggering Relationships

    18Idriss & Boulanger, 2010

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    SPT Triggering Relationships

    19Adapted from Idriss & Boulanger, 2010

    0.226

    0.205

    0.156

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    Triggering Relationships(most important difference)

    CRR at (N1)60cs = 5

    I/B:Y = 0.087/0.068 =1.28

    C:Y = 0.048/0.068 = 0.71

    CRR at (N1)60cs = 10

    I/B:Y = 0.118/0.115 = 1.03 C:Y = 0.072/0.115 = 0.63

    CRR at (N1)60cs = 20

    I/B:Y = 0.205/0.226 =0.91

    C:Y = 0.156/0.226 = 0.69

    CRR at (N1)60cs = 30

    I/B:Y = 0.48/0.6 = 0.8 C:Y = 0.338/0.6 = 0.56

    20

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    Savannah River Site; F, Z, and K areas

    21

    Site Evaluations

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    SRS Generalized Profile

    22

    GWT varies by area;K 55 ft, F 80 ft, Z 55 ft

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    SRS Seismic Demand

    Two earthquakes are utilized

    Deterministic

    Mw = 7.2, pga = 0.1g Charleston 50th (C50)

    Probabilistic

    Mw = 6.6, pga = 0.2g Design Basis Event (DBE)

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    SRS F-Area

    Mw=7.2, pga=0.1g Mw=6.6, pga=0.2g

    24

    80

    85

    90

    95

    100

    105

    110

    0.0 1.0 2.0 3.0 4.0 5.0 6.0

    D

    epth(ft)

    Safety Factor

    Youd I/B Cetin

    80

    85

    90

    95

    100

    105

    110

    0.0 1.0 2.0 3.0 4.0 5.0 6.0

    D

    epth(ft)

    Safety Factor

    Youd I/B Cetin

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    SRS Z-Area

    Mw=7.2, pga=0.1g Mw=6.6, pga=0.2g

    26

    50

    60

    70

    80

    90

    100

    110

    0.0 1.0 2.0 3.0 4.0 5.0 6.0

    D

    epth(ft)

    Safety Factor

    Youd I/B Cetin

    50

    60

    70

    80

    90

    100

    110

    0.0 1.0 2.0 3.0 4.0 5.0 6.0

    D

    epth(ft)

    Safety Factor

    Youd I/B Cetin

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    SRS Results

    In general; Cetin results in lower FS

    Youd and Idriss/Boulanger are comparable

    Neglecting very high FS; I/B is about 9% of Youd with a ~ 20% for the C50 (Mw = 7.2)

    I/B is about 12% of Youd with a ~ 21% for the DBE (Mw =6.6)

    Cetin is about -44% of Youd with a ~ 24% for the C50 (Mw= 7.2)

    Cetin is about -30% of Youd with a ~ 27% for the DBE (Mw= 6.6)

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    Paducah (PDGP)

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    Site Evaluations

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    Paducah Seismic Demand

    Mw = 7.5, pga = 0.48g

    32

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    Paducah Generalized Profile

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    GWT assumed at 10 ft

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    PDGP; SB-01, 02, 03, 05, 06

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    0

    10

    20

    30

    40

    50

    60

    0.0 1.0 2.0 3.0

    Depth(ft)

    Safety Factor

    Youd I/B Cetin

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    PGDP Results

    In general, the results for each of the threemethods are much closer, however;

    Cetin results in lower FS

    Youd and Idriss/Boulanger are comparable

    Overall;

    Idriss/Boulanger is about -4% of Youd with a ~

    26% (16 of 22 [73%] analyses within 20% of Youd) Cetin is about -35% of Youd with a ~ 22% results

    (6 of 23 [26%] analyses within 20% of Youd)

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    Savannah River Site

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    Aging

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    Aging (SRS)

    Compare Youd et al., (2001) to the SRSmethodology

    SRS methodology based on site-specific

    testing (CRR and K ); no attempt was madeto correct for disturbance

    Most other parameters (CN, MSF, rd) followrecommendations of Youd

    Difference in computed FS can be attributedto aging

    Compare results for CPT in K-Area

    38

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    Strength Gain vs Age

    39Lewis et al., 2008

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    40

    50

    55

    60

    65

    70

    75

    80

    85

    90

    95

    100

    0.0 1.0 2.0 3.0 4.0 5.0 6.0

    Depth(ft)

    FS

    KC7

    SRS DBE Youd DBE

    KC

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    50

    55

    60

    65

    70

    75

    80

    85

    90

    95

    100

    0.0 1.0 2.0 3.0 4.0 5.0 6.0

    Depth(ft)

    FS

    KC7

    SRS C50 Youd C50

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    50

    55

    60

    65

    70

    75

    80

    85

    90

    95

    100

    0.60 0.80 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60

    Depth(ft

    )

    SRS/Youd (KC7)

    C50/Youd C50 DBE/Youd DBE

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    Aging (SRS)

    The results for CPT KC7 would indicate thefollowing;

    For the DBE (Mw = 6.6, pga = 0.2g);

    Ratio of SRS/Youd ranges from about 1.1 to 2.4, witha mean ~ 1.4 (say ~ 1.1 to 1.2 from 55 to 80 ft)

    For the C50 (Mw = 7.2, pga = 0.1g);

    Ratio of SRS/Youd ranges from about 1 to 2.3, with amean ~ 1.3 (say ~ 1.1 to 1.2 from 55 to 85 ft)

    43

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    Strength Gain vs Age; SRS

    44Adapted from Lewis et al., 2008

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    Conclusions

    For the evaluations shown; Youd et al., is the only consensus liquefaction evaluation method

    and is still recommended for use Site-specific correlations (SRS) can be extremely valuable

    (expensive and time consuming) More than one tool (e.g., SPT, CPT) is recommended for

    liquefaction evaluations Youd et al., and Idriss/Boulanger are comparable In general, Cetin et al., results in significantly lower FS than either

    Youd et al., and Idriss/Boulanger

    For SRS soils, an aging correction factor appears appropriatewhen using the Youd et al., relationship (which is for Holocenesoils)

    Upcoming workshops specifically targeting resolution betweenIdriss/Boulanger and Cetin et al., methods would be very helpfulin resolving differences