gravelly soil liquefaction...gravelly soil liquefaction mark d. evans, ph.d., p.e. associate...

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Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering Mahan Hall West Point, NY 10996

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Page 1: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Gravelly Soil Liquefaction

Mark D. Evans, Ph.D., P.E.Associate Professor

United States Military AcademyDepartment of Civil and Mechanical Engineering

Mahan HallWest Point, NY 10996

Page 2: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

ABSTRACT

Gravelly soils are sometimes present in tailings dams and these soils are potentially liquefiable. In this presentation, experiences in assessing the liquefaction potential of gravelly soil in dams using both laboratory and in situ techniques are discussed. These techniques are: large scale cyclic triaxial testing with correction for membrane compliance; and large scale Becker Hammer penetration testing. The results from a laboratory investigation into cone penetration testing to assessgravelly soil behavior is also presented. The results from several investigations will be summarized and compared to approaches and results obtained for investigations targeting sandy soil. Shear modulus and damping properties for gravelly soils are also presented.

Page 3: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

INTRODUCTION

Evaluating dynamic properties and liquefaction behavior of gravelly soils has become a high priority in the geotechnical engineering community. Due to high hydraulic conductivity, gravels and gravelly soils were once thought to be unliquefiable. Gravel blankets and drains are often used as remedial measures to improve liquefaction resistance by rapidly dissipating high pore pressures generated during earthquake loading. However, several liquefaction-induced failures in gravel and gravelly soil prompted a critical reevaluation of the behavior of gravelly soils subjected to dynamic loading. In recent years, the liquefaction behavior of gravelly soil has been investigated in the laboratory by many investigators (see Reference list). Also, field evidence has shown that most liquefied gravelly soils are comprised of both sand and gravel.

Page 4: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

EMBANKMENT DAMS

Embankment dams consisting of gravelly soil or founded upon gravelly soil where gravel liquefaction has been considered include:

•Aswan High Dam, Egypt•Folsom and Mormon Island Dam, CA•Ririe and Mackay Dams, Idaho•Oroville and Seven Oaks Dams, CA•Shimen and Baihe Dams, China•Terzaghi and Seymour Dams, British Columbia•Daisy Lake Dam, British Columbia•Scott’s Flat and Santa Felicia Dams, CA•Vern Freeman Diversion Structure, CA•Devil Canyon Second Afterbay, CA

Grain size distributions for these soils range from rockfill to sandy gravel or gravelly sand.

Page 5: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Aswan High Dam Analyzed for Liquefaction Potential

Page 6: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Triaxial Specimen of Aswan High Dam Sluiced Rockfill

Page 7: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Triaxial Specimen of Aswan High Dam Rockfill (gravel)

Page 8: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Triaxial Specimen of Aswan High Dam Rockfill (gravel)

Page 9: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Triaxial Specimen of Gravel

Page 10: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Triaxial Specimen of Gravel

Page 11: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

0.00

0.20

0.40

0.60

0.80

1.00

0 3 6 9 12 15

Number of Stress Cycles

Pore

Pre

ssur

e R

atio

GC=0%, Dr=40%

(a)

0.00

0.20

0.40

0.60

0.80

1.00

0 3 6 9 12 15

Number of Stress Cycles

Pore

Pre

ssur

e R

atio

GC=20%, Dr=40%

(b)

0.00

0.20

0.40

0.60

0.80

1.00

0 3 6 9 12 15

Number of Stress Cycles

Pore

Pre

ssur

e R

atio

GC=40%, Dr=40%

(c)

0.00

0.20

0.40

0.60

0.80

1.00

0 3 6 9 12 15

Number of Stress Cycles

Pore

Pre

ssur

e R

atio

GC=60%, Dr=40%

(d)

Pore Pressure Response for Sand and Gravel Mixtures

Page 12: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

-100

-50

0

50

100

-2 -1 0 1 2

Axial Strain (%)

Dev

iato

r St

ress

(kPa

)GC=0%GC=20%

First Stress Cycle(a)

-100

-50

0

50

100

-2 -1 0 1 2

Axial Strain (%)

Dev

iato

r St

ress

(kPa

)

GC=40%GC=60%

First Stress Cycle(b)

-100

-50

0

50

100

-2 -1 0 1 2

Axial Strain (%)

Dev

iato

r St

ress

(kPa

)

GC=0%GC=20%

Fifth Stress Cycle(c)

-100

-50

0

50

100

-2 -1 0 1 2

Axial Strain (%)

Dev

iato

r St

ress

(kPa

) GC=40%GC=60%

Fifth Stress Cycle(d)

Stress – Strain Response for Sand and Gravel Mixtures

Page 13: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

0

0.2

0.4

0.6

1 10 100 1000

Number of Stress Cycles

CSR

Cau

sing

5% D

oubl

e A

mpl

itude

Str

ain

Confining Pressure=100 kPaMatrix Relative Density=40%Corrected for Membrane Compliance

(a)

GC=40%

GC=0%0.00

0.20

0.40

0.60

0.80

1.00

0 3 6 9 12 15

Number of Stress Cycles

Pore

Pre

ssur

e R

atio

(b)

GC=40% GC=0%

-15

-10

-5

0

5

0 3 6 9 12 15

Number of Stress Cycles

Axi

al S

trai

n (%

)

GC=40%GC=0%(c)

-100

-50

0

50

100

-2 -1 0 1 2

Axial Strain (%)

Dev

iato

r St

ress

(kPa

)

GC=40%GC=0%

Fifth Stress Cycle(d)

CSR, PP, and S-S Response for Sand and Gravel Mixtures

Page 14: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

0

0.1

0.2

0.3

0.4

0.5

1 10 100 1000

Number of Stress Cycles

CSR

Cau

sing

5% D

oubl

e A

mpl

itude

Str

ain

(a)

Dr=65%, GC=0% Dr=40%, GC=40%

Confinging Pressure =100 kPaCorrected for Membrane Compliance

0.00

0.20

0.40

0.60

0.80

1.00

1.20

0 3 6 9 12 15

Number of Stress Cycles

Pore

Pre

ssur

e R

atio

Dr=65%, GC=0%

Dr=40%, GC=40%

(b)

-15

-10

-5

0

5

0 3 6 9 12 15

Number of Stress Cycles

Axi

al S

trai

n (%

) (c)

Dr=65%, GC=0%

Dr=40%, GC=40%

-100

-50

0

50

100

-2 -1 0 1 2

Axial Strain (%)

Dev

iato

r St

ress

(kPa

)

Fifth Stress Cycle

(d)

Dr=65%, GC=0%

Dr=40%, GC=40%

CSR, PP, and S-S Response for Sand and Gravel Mixtures

Page 15: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

0

0.1

0.2

0.3

0.4

0.5

1 10 100 1000

Number of Stress Cycles

CSR

Cau

sing

5%

D

oubl

e A

mpl

itude

Str

ain

GC=0%GC=20%GC=40%GC=60%

Confining Pressure=100 kPaRelative Density=40%Corrected for Membrane Compliance

Cyclic Stress Ratio (CSR) for Sand and Gravel Mixtures

Page 16: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

0

0.5

1

1.5

2

2.5

3

3.5

0 20 40 60 80 100 120Effective Confining Pressure (kPa)

Tot

al V

olum

etri

c St

rain

(%)

Sand-Gravel Composites2.8-in. Diameter SpecimensTwo MembraneRelative Density = 40%(GC=Gravel Content)

GC=100%

GC=0, 20, 40, and 60%

εv

εvt

εvt

Volumetric Strain Caused by Membrane Compliance

Page 17: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0 50 100 150 200 250

Effective Confining Pressure, σ' (kPa)

Vol

umet

ric

Stra

in, ε

v (%

)

Total Volumetric Strain

Volumetric Strain Due to System Compliance

Volumetric Strain of Soil Skeleton

Volumetric Strain Due to Membrane Rebound

Sand-Gravel CompositeGravel Content=20%71 mm Diameter SpecimenTwo Membranes, 0.3 mm Thick/EachRelative Density=40%

εvt

εvs

εvm

εve

Volumetric Strain Caused by Membrane Compliance

Page 18: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

0.00

0.10

0.20

0.30

0.40

1 10 100

Number of Stress Cycles, N

Cyc

lic S

tres

s Rat

io C

ausi

ng 5

%D

oubl

e A

mpl

itude

Str

ain,

σd/2

σ'

Without Water InjectionWith Water Injection

Sand-Gravel CompositeGC=100%Dr=40%

σ'=200 kPa

Effect of Membrane Compliance on CSR Causing Liquefaction

Page 19: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

0

50000

100000

150000

200000

0.001 0.01 0.1 1

Shear Strain, γ (%)

Shea

r M

odul

us, G

(kPa

)

GC=0%

GC=20%

GC=40%

GC=60%

Sand-Gravel CompositesConfining Pressure = 100 kPa

Relative Density = 40%

Shear Modulus – Shear Strain for Gravelly Soils

Page 20: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

0.0

0.2

0.4

0.6

0.8

1.0

0.0001 0.001 0.01 0.1 1Cyclic Shear Strain (%)

G/G

max

This StudyGoto et al. (1994)Goto et al. (1992)Hatanaka et al. (1988)Hatanaka and Uchida (1995)Hynes (1988)Iida et al. (1984)Kokusho et al. (1994)Konno et al. (1994)Seed et al. (1986)Shamoto et al. (1986)Shibuya et al. (1990)Souto et al. (1994)Yasuda and Matsumoto (1994)Yasuda and Matsumoto (1993)

Best-Fit Curve and Standard Deviation Bounds, This Study

Normallized Shear Modulus – Shear Strain for Gravelly Soils

Page 21: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Becker Hammer Setup in Field (after Harder)

Page 22: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Becker Hammer Setup in Field (after Harder)

Page 23: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Becker Hammer Setup in Field (after Harder)

Page 24: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Large Scale Chamber Test at ERDC

Page 25: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

15’’

SPTSPT#7 Intermediate

1.4” cone 1.4” cone #6 Intermediate

0.70” dummy cone0.70” dummy cone#5 Intermediate

0.35” cone0.35” cone#4 Intermediate

0.70” cone0.70” cone#3 Intermediate

1.4” cone1.4” cone #2 Intermediate

SPT 1.4” cone#1 Center

Bottom Half (36 in.)Top Half (36 in.)Probe Location

Large Scale Chamber Test at ERDC

Page 26: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Placing Gravel Specimen in Large Scale Chamber Test at ERDC

Page 27: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

Placing Gravel Specimen in Large Scale Chamber Test at ERDC

Page 28: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

1 tsf Stress vs. Ratio(semi-log scale)

0.00

2000.00

4000.00

6000.00

8000.00

10000.00

12000.00

1.00 10.00 100.00

Ratio (Tip Diameter/Particle Diameter)

Stre

ss (p

si)

Data Corrected to:Dr50Chamber/Tip Ratio 50Data Plotted:GravelSand#1Sand#2

Preliminary Results of Cone Tests in Large Scale Chamber

Page 29: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

3 TSF Stress vs. Tip/Particle Raito(semi-log)

0.00

2000.00

4000.00

6000.00

8000.00

10000.00

12000.00

1.00 10.00 100.00Ratio (Tip Diameter/Particle Diameter)

Stre

ss (p

si)

Preliminary Results of Cone Tests in Large Scale Chamber

Page 30: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

GRAVELLY SOILS IN DAMS REFERENCES

• Ansal, A.M. and Erken, A., “PostTesting Correction for Membrane Compliance Effects on Pore Pressure”, Journal of Geotechnical Engineering, ASCE, Vol. 122, No. 1, January, 1996.

• Banerjee, N.G., Seed, H.B., Chan, C.K. (1979). "Cyclic Behavior of Dense Coarse-Grained Materials in Relation to the Seismic Stability of Dams," EERC Report No. UCB/EERC-79/13, Univ. of Calif., Berkeley.

• Budiman, Jeffrey S., J. Mohammadi, and S. Bandi, “Effects of Large Inclusions on Liquefaction of Sands”, Geotechnical Special Publication, Static and Dynamic Properties of Gravelly Soils, Geotechnical Engineering Division of ASCE, N.Y., NY, 1995.

• Coulter, H.W., and Migliaccio, R.R. (1966). "Effect of earthquake of March 27, 1964 at Valdez, Alaska." U.S. Geol. Survey Professional Paper 542-C, U.S. Dept. of the Interior, Washington, D.C.

• England, George L., T. Dunstan, N. Mihajlovic, and J.B. Bazar, “Structural Instability caused by Ratcheting Flow of Granular Materials under Cyclic Stressing”, Geotechnical Special Publication, Static and Dynamic Properties of Gravelly Soils, Geotechnical Engineering Division of ASCE, N.Y., NY, 1995.

• Evans, M. D. and Seed H. B. (1987), " Undrained Cyclic Triaxial Testing of Gravels - The Effect of Membrane Compliance", Report No. UCB/EERC-87/08, Earthquake Engineering Research Center, College of Engineering, Univ. of California, Berkeley, Calif.

• Evans, M.D. and Fragaszy, R., editors, Static and Dynamic Properties of Gravelly Soils, ASCE Geotechnical Special Publication, Geotechnical Engineering Division of ASCE, NY, 1995.

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Page 31: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

• Evans, M.D., "Dynamic Properties and Liquefaction of Gravelly Soils", Soil Dynamics and Earthquake Engineering VI, Computational Mechanics Pub., Southhampton, UK, 1993.

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• Evans, Mark D. and H. Bolton Seed, "Undrained Cyclic Triaxial Testing of Gravels - The Effect of Membrane Compliance", EERC No. UCB/EERC-87/08, Univ. of Calif., Berkeley, 1987.

• Evans, Mark D., "Density Changes During Undrained Loading - Membrane Compliance", Journal of Geotechnical Engineering, ASCE, Vol. 118, No. 12, December 1992.

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• Evans, Mark D., Seed, H.B. and Seed, R.B., "Membrane Compliance and Liquefaction of Sluiced Gravel Specimens", Journal of Geotechnical Engineering, ASCE, Vol. 118, No. 6, June 1992.

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• Haga, K. (1984). "Shaking Table Tests For Liquefaction Of Gravel-Containing Sand." Bachelor Thesis, Dept. of Civil Engrg., Univ. of Tokyo, (in Japanese).

Page 32: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

• Harder, L. F. (1992), “Investigation of Mackay Dam Following the 1983 Borah Peak Earthquake,” Proc. of Specialty Conf.: Stability and Performance of Slopes-II, ASCE, Berkeley, California, June 28 to July 1, 1992.

• Harder, L.F., and Seed, H.B. (1986). "Determination of penetration resistance for coarse-grained soils using the Becker Hammer drill." Report No. UCB/EERC-86/06, Earthquake Engineering Research Center, College of Engineering, Univ. of California, Berkeley, Calif.

• Hatanaka, M., Y. Suzuki, T. Kawasaki, and M. Endo. 1988. “Cyclic Undrained Shear Properties of High Quality Undisturbed Tokyo Gravel.” Soils and Foundations, JSMFE, 28(4): 57-68.

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• Hynes, M.E., Whal, R.E., Donaghe, R.T., and Tsuchida, T. (1988) "Seismic Stability Evaluation of Folsom Dam and Reservoir Project: Report 4, Mormon Island Auxiliary Dam-Phase I," US Army Engineer Waterways Experiment Station Technical Report GL-87-14, Vicksburg, Mississippi.

• Ishihara, K. (1985). "Stability Of Natural Deposits During Earthquakes." Proc. of the 11th Int. Conf. on Soil Mechanics and Foundation Engrg., Vol. I, Rotterdam, Netherlands.

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• Kokusho, T., and Y. Tanaka. 1994. “Dynamic properties of gravel layers investigated by in-situ freezing sampling.” Ground Failures Under Seismic Conditions, Geotechnical SpecialPublication No. 44, ASCE: 121-140.

• Konno, T., M. Hatanaka, K. Ishihara, Y. Ibe, and S. Iizuka. 1994. “Gravelly soil properties evaluation by large scale in-situ cyclic shear tests.” Ground Failures Under SeismicConditions, Geotechnical Special Publication No. 44, ASCE: 177-200

• Martin, G.R., Finn, W.O.L., and Seed, H.B. (1978) "Effects of System Compliance on Liquefaction Tests," J. of Geotech. Engrg., ASCE, 104(4).

• Nicholson, P.G., Seed, R.B., and Anwar, H.A. (1993a). “Elimination of Membrane Compliance in Undrained Triaxial Testing. I. Measurement and Evaluation”, Canadian Geotechnical Journal, vol. 30, p 727 - 738.

Page 33: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

• Nicholson, P.G., Seed, R.B., and Anwar, H.A. (1993b). “Elimination of Membrane Compliance in Undrained Triaxial Testing. II. Mitigation by Injection Compensation”, Canadian Geotechnical Journal, vol. 30, p 739 - 746.

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• Seed, R.B., Anwar, H.A., and Nicholson, P.G. (1989). "Elimination of Membrane Compliance Effects in Undrained Testing of Gravelly Soils." Proc. of the 12th Int. Conf. on Soil Mechanics and Foundation Engrg., p111-114, Rotterdam, Netherlands.

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• Tamura, C. and Lin, G. (1983), "Damage to Dams During Earthquakes in China and Japan," Report of Japan-China Cooperative Research on Engineering Lessons from Recent Chinese Earthquakes Including the 1976 Tangshan Earthquake (Part I), Edited by Tamura, C., Katayama, T., and Tatsuoka, F., University of Tokyo, November, 1983.

• Tamura, C., and Lin, G. (1983). "Damage to dams during earthquakes in China and Japan." Report of Japan-China Cooperative Res. on Engrg. Lessons from Recent Chinese Earthquakes Including the 1976 Tangshan Earthquake (Part I), C. Tamura, T. Katayama, and F. Tatsuoka, eds., Univ. of Tokyo, Toyko, Japan, Nov.

Page 34: Gravelly Soil Liquefaction...Gravelly Soil Liquefaction Mark D. Evans, Ph.D., P.E. Associate Professor United States Military Academy Department of Civil and Mechanical Engineering

• Thevanayagam, S., “Relative Role of Coarser and Finer Grains on the Undrained Behavior of Granular Mixes”, submitted to the NSF International Workshop: The Physics and Mechanics of Liquefaction, AA Balkema, Netherlands, 1998.

• Tokimatsu, K and Nakamura, K (1986), "A Liquefaction Test Without Membrane Penetration Effects, Soils and Foundations, Vol. 26, No. 4, 1986.

• Wahl, R. E., Crawforth, Stanley G., Hynes, M. E., Comes, Gregory D., and Yule, Donald E. (1988), “Seismic Stability Evaluation of Folsom Dam and Reservoir Project, Report 8, Mormon Island Auxiliary Dam, Phase II,” Technical Report GL-87-14, Waterways Experiment Station, U.S. Army Corps of Engineers.

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