coefficients

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 Geotechnical Properties: mv  Typical Values of the Coefficient of Volume Compressibility, m  v  (after Carter 1983) Lower Limit Upper Limit Average Heavy over-consolidated boulder clays, stiff  weathered rocks and hard clays  Very low compressibility 0.05 Boulder clays, marls, very stiff tropical red clays Low compressibility 0.05 0.1 0.075 Firm clays, glacial outwash clays, lake deposits, weathered marls, firm boulder clays, normally consolidated clays at depth and firm tropical red clays Medium compressibility 0.1 0.3 0.2 Normally consolidated alluvial clays such as estuarine and delta deposits, and sensitive clays High compressibility 0.3 1.5 0.9 Highly organic alluvial clays and peats  Very high compressibility 1.5 Carter, M and Bentley, S. P., Correlations of Soil Properties, Pentech Press, London, 1991. m  v (x10 -3 m 2 /kN)  Type of clay Description Page 1 of 11

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  • Geotechnical Properties: mv

    Typical Values of the Coefficient of Volume Compressibility, mv (after Carter 1983)

    Lower Limit Upper Limit Average

    Heavy over-consolidated boulder clays, stiff

    weathered rocks and hard clays

    Very low

    compressibility0.05

    Boulder clays, marls, very stiff tropical red

    clays

    Low

    compressibility0.05 0.1 0.075

    Firm clays, glacial outwash clays, lake

    deposits, weathered marls, firm boulder clays,

    normally consolidated clays at depth and firm

    tropical red clays

    Medium

    compressibility0.1 0.3 0.2

    Normally consolidated alluvial clays such as

    estuarine and delta deposits, and sensitive

    clays

    High

    compressibility0.3 1.5 0.9

    Highly organic alluvial clays and peatsVery high

    compressibility1.5

    Carter, M and Bentley, S. P., Correlations of Soil Properties, Pentech Press, London, 1991.

    mv

    (x10-3

    m2/kN)Type of clay Description

    Page 1 of 11

  • Geotechnical Properties: Cc

    Typical Values of Compressibility Index, Cc (after Holtz and Kovacs 1981)

    Lower Limit Upper Limit Average

    Normally consolidated medium sensitive clays 0.2 0.5 0.35

    Chicago silty clay (CL) 0.15 0.3 0.225

    Boston blue clay (CL) 0.3 0.5 0.4

    Vicksburg Buckshot clay (CH) 0.5 0.6 0.55

    Swedish medium sensitive clays (CL-CH) 1 3 2

    Canadian Leda clays (CL-CH) 1 4 2.5

    Mexico City clay (MH) 7 10 8.5

    Organic clays (OH) 4

    Peats (Pt) 10 15 12.5

    Organic silt and clayey silts (ML-MH) 1.5 4 2.75

    San Francisco Bay Mud (CL) 0.4 1.1 0.75

    San Francisco Old Bay clays (CH) 0.7 0.9 0.8

    Bangkok clay (CH) 0.4

    Carter, M and Bentley, S. P., Correlations of Soil Properties, Pentech Press, London, 1991.

    SoilCc

    Page 2 of 11

  • Geotechnical Properties: Cv

    Typical Values of the Coefficient of Consolidation, cv (after Carter and Bentley 1991)

    Lower Limit Upper Limit Average

    Boston blue clay (CL) 6 18 12

    Organic silt (OH) 0.6 3 1.8

    Glacial lake clays (CL) 2 2.7 2.35

    Chicago silty clay (CL) 2.7 2.7 2.7

    Swedish medium sensitive clays

    (CL-CH)

    1. laboratory 0.1 0.2 0.15

    2. field 0.2 1 0.6

    San Francisco Bay Mud (CL) 0.6 1.2 0.9

    Mexico City clay (MH) 0.3 0.5 0.4

    Carter, M and Bentley, S. P., Correlations of Soil Properties, Pentech Press, London, 1991.

    Comparison of cv Obtained From Various Methods (after Robinson and Allam, 1996)

    (kPa)Logarithm-of-

    time method

    Square-root-of-

    time method

    Early stage log t

    method

    Red earth 25-50 1.46 1.72 1.93

    50-100 2.03 2.52 2.84

    100-200 2.31 3.15 3.60

    200-400 2.57 3.44 3.96

    400-800 2.55 3.78 4.04

    Brown soil 25-50 1.20 1.40 1.71

    50-100 0.95 1.19 1.20

    100-200 0.90 1.07 1.11

    200-400 0.66 0.70 0.86

    400-800 0.41 0.46 0.43

    Black cotton soil 25-50 1.60 2.07 3.07

    50-100 0.97 1.16 1.51

    100-200 0.63 0.79 1.09

    200-400 0.36 0.50 0.64

    400-800 0.18 0.20 0.25

    Illite 25-50 0.52 0.71 0.79

    50-100 0.42 1.00 1.05

    100-200 0.69 1.00 1.15

    200-400 0.99 1.45 1.62

    400-800 1.31 1.84 2.03

    Bentonite 25-50 0.02 0.04 0.05

    50-100 0.01 0.03 0.04

    100-200 0.01 0.02 0.03

    200-400 0.01 0.01 0.01

    400-800 0.00 0.01 0.01

    Chicago clay 12.5-50 7.92 14.35 14.51

    25-50 6.34 7.54 9.93

    50-100 4.32 5.49 6.37

    100-200 1.00 1.49 1.57

    200-400 1.44 1.39 1.55

    400-800 1.91 2.03 2.34

    800-1600 2.24 2.72 2.87

    Das, Braja M., Principles of Geotechnical Engineering , Fifth Ed., Thomas Learning, United States, 2002.

    Soil

    cv

    (m2/yr)

    Soil

    cv

    (m2/yr)

    Range of

    Pressure 'Reference

    Taylor, 1948

    Reference

    Ladd and Luscher, 1965

    Lowe, Zaccheo, and Feldman, 1964

    Wallace and Otto, 1964

    Terzaghi and Peck, 1967

    Leonards and Girault, 1961

    Holtz and Broms, 1972

    Page 3 of 11

  • Geotechnical Properties: C

    Typical Values of C/Cc (after Carter and Bentley 1991)

    Lower Limit Upper Limit Average

    Organic silts 0.035 0.06 0.0475

    Amorphous and fibrous peat 0.035 0.085 0.06

    Canadian muskeg 0.09 0.1 0.095

    Leda clay (Canada) 0.03 0.06 0.045

    Post-glacial Swedish clay 0.05 0.07 0.06

    Soft blue clay (Victoria, B.C.) 0.026 0.026 0.026

    Organic clays and silts 0.04 0.06 0.05

    Sensitive clay, Portland, ME 0.025 0.055 0.04

    San Francisco Bay Mud 0.04 0.06 0.05

    New Liskeard (Canada) varved clay 0.03 0.06 0.045

    Mexico City clay 0.03 0.035 0.0325

    Hudson River silt 0.03 0.06 0.045

    New Haven organic clay silt 0.04 0.075 0.0575

    Carter, M and Bentley, S. P., Correlations of Soil Properties , Pentech Press, London, 1991.

    SoilC/Cc

    Page 4 of 11

  • Geotechnical Properties:

    Typical Values of Unit Weights (sat and dry) (after Carter and Bentley 1991)

    Lower

    Limit

    Upper

    LimitAverage

    Lower

    Limit

    Upper

    LimitAverage

    Sands and gravels

    very loose 16.67 17.65 17.16 12.75 13.73 13.24

    loose 17.65 18.63 18.14 13.73 14.71 14.22

    medium dense 18.63 20.59 19.61 14.71 17.65 16.18

    dense 19.61 21.57 20.59 16.67 19.61 18.14

    very dense 21.57 22.56 22.06 19.61 21.57 20.59

    Poorly-graded sands 16.67 18.63 17.65 12.75 14.71 13.73

    Well-graded sands 17.65 22.56 20.10 13.73 21.57 17.65

    well-graded sand/gravel mixtures 18.63 22.56 20.59 14.71 21.57 18.14

    Clays

    unconsolidated muds 15.69 16.67 16.18 8.83 10.79 9.81

    soft, open-structured 16.67 18.63 17.65 10.79 13.73 12.26

    typical, normally consolidated 17.65 21.57 19.61 12.75 18.63 15.69

    boulder clays (overconsolidated) 19.61 23.54 21.57 16.67 21.57 19.12

    Red tropical soils 16.67 20.59 18.63 12.75 17.65 15.20

    Carter, M and Bentley, S. P., Correlations of Soil Properties, Pentech Press, London, 1991.

    Soil

    sat dry

    (kN/m3) (kN/m

    3)

    Page 5 of 11

  • Geotechnical Properties: Es

    Representative Values of Modulus of Elasticity of Soil, Es (Das, 2002)

    Lower Limit Upper Limit Average

    Soft clay 1800 3500 2650

    Hard clay 6000 14000 10000

    Loose sand 10000 28000 19000

    Dense sand 35000 70000 52500

    Range of Values: Modulus of Elasticity, E (McCarthy, 1998)

    Lower Limit Upper Limit Average

    Sand, loose 9000 25000 17000

    Sand, dense 45000 80000 62500

    Sand, silty 7000 21000 14000

    Sand and gravel, loose 45000 145000 95000

    Sand and gravel, dense 90000 180000 135000

    Silt 2400 20000 11200

    Loess 15000 50000 32500

    Clay, soft 500 5000 2750

    Clay, medium 4000 10000 7000

    Clay, firm 7000 20000 13500

    Clay, sandy 25000 40000 32500

    Soil

    Es

    (kPa)

    Soil

    Es

    (kPa)

    Page 6 of 11

  • Geotechnical Properties:

    Representative Values of Poisson's Ration, (Das, 2002)

    Lower Limit Upper Limit Average

    Loose sand 0.2 0.4 0.3

    MediumSand 0.25 0.4 0.325

    Dense sand 0.3 0.45 0.375

    Silty sand 0.2 0.4 0.3

    Soft clay 0.15 0.25 0.2

    Medium clay 0.2 0.5 0.35

    Range of Values: Poisson's Ratio, (McCarthy, 1998)

    Lower Limit Upper Limit Average

    Sand, loose 0.1 0.3 0.2

    Sand, dense 0.3 0.4 0.35

    Silt 0.3 0.4 0.35

    Loess 0.2 0.4 0.3

    Clay, saturated 0.4 0.5 0.45

    Clay, partially saturated 0.3 0.4 0.35

    Clay, with sand and silt 0.2 0.4 0.3

    Soil

    Soil

    Page 7 of 11

  • Geotechnical Properties: Cu

    Typical Values of Undrained Shear Strength, cu (after Day, 2006)

    Lower Limit Upper Limit Average

    Very soft 12

    Soft 12 25 18.5

    Medium 25 50 37.5

    Stiff 50 100 75

    Very stiff 100 200 150

    Hard 200

    Day, Robert W., Foundation Engineering Handbook , McGraw-Hill, New York, 2006.

    Clay

    cu

    (kPa)

    Page 8 of 11

  • Geotechnical Properties: e

    Typical Values of Void Ratio, e (after Lambe and Whitman, 1969)

    Lower Limit Upper Limit Average

    Compacted caliche 0.227 0.667 0.447

    Silty sand 0.242 0.333 0.2875

    Sandy clay 0.379 1.303 0.841

    Beach sand 0.636 0.833 0.7345

    Compacted Boston blue clay 0.485 0.652 0.5685

    Vicksburg buckshot clay 0.576 0.985 0.7805

    Ottawa sand 0.591 0.636 0.6135

    Sand-Franklin Falls 0.75 0.848 0.799

    Sand-Scituate 0.485 0.621 0.553

    Sand-Plum Island 0.652 0.697 0.6745

    Sand-Fort Peck 0.561 0.606 0.5835

    Silt-Boston 0.742 3.97 2.356

    Loess 0.652 0.764 0.708

    Lean clay 0.394 0.53 0.462

    Sand-Union Falls 0.439 0.645 0.542

    Silt-North Carolina 0.636 0.879 0.7575

    Sand from dike 0.652 1.152 0.902

    Sodium-Boston blue clay 0.47 2.697 1.5835

    Calcium kaolinite 1.212 1.682 1.447

    Sodium montmorillonite 2.333 3.97 3.1515

    Sand (dam filter) 0.455 0.773 0.614

    Day, Robert W., Foundation Engineering Handbook , McGraw-Hill, New York, 2006.

    Soile

    Page 9 of 11

  • Geotechnical Properties: k

    Typical Values of Permeability, k (after Lambe and Whitman, 1969)

    Lower Limit Upper Limit Average

    Compacted caliche 5.0E-09 1.0E-07 5.3E-08

    Silty sand 7.0E-09 3.0E-08 1.9E-08

    Sandy clay 2.5E-10 2.8E-04 1.4E-04

    Beach sand 8.0E-02 2.0E-01 1.4E-01

    Compacted Boston blue clay 3.5E-09 3.2E-08 1.8E-08

    Vicksburg buckshot clay 3.0E-10 1.2E-09 7.5E-10

    Ottawa sand 6.0E-10 7.0E-10 6.5E-10

    Sand-Franklin Falls 9.0E-04 1.2E-03 1.1E-03

    Sand-Scituate 4.0E-03 9.5E-03 6.8E-03

    Sand-Plum Island 1.8E-02 2.8E-02 2.3E-02

    Sand-Fort Peck 1.8E-03 2.8E-03 2.3E-03

    Silt-Boston 1.0E-08 2.0E-06 1.0E-06

    Loess 4.0E-09 5.2E-09 4.6E-09

    Lean clay 2.0E-09 2.8E-08 1.5E-08

    Sand-Union Falls 4.3E-02 1.0E-01 7.2E-02

    Silt-North Carolina 5.7E-07 8.0E-05 4.0E-05

    Sand from dike 1.4E-04 1.7E-03 9.2E-04

    Sodium-Boston blue clay 1.7E-10 1.0E-07 5.0E-08

    Calcium kaolinite 2.1E-06 1.2E-05 7.1E-06

    Sodium montmorillonite 1.8E-08 1.8E-08 1.8E-08

    Sand (dam filter) 1.6E-03 1.0E-01 5.1E-02

    Day, Robert W., Foundation Engineering Handbook , McGraw-Hill, New York, 2006.

    Typical Values of Permeability, k

    Lower Limit Upper Limit Average

    Clean gravel 1.0E+00 1.0E+00

    Gravel, clean coarse sand 1.0E-01 1.0E+00 5.5E-01

    Graded sand, fine sand 1.0E-03 1.0E-01 5.1E-02

    Silty sand, silt 1.0E-05 1.0E-03 5.1E-04

    Dense silt, clayey silt 1.0E-07 1.0E-05 5.1E-06

    Clay, silty clay 1.0E-08 1.0E-07 5.5E-08

    Spangler, Merlin G. and R.L. Handy, Soil Engineering , Fourth Edition, Harper & Row Publishers, New York, 1982.

    Soil

    k

    Soil

    k

    (cm/s)

    (cm/s)

    Page 10 of 11

  • Geotechnical Properties: k

    Typical Values of Permeability, k

    Lower Limit Upper Limit Average

    River deposits

    Rhone at Genissiat 4.00E-01

    Small streams, eastern Alps 2.00E-02 1.60E-01 9.00E-02

    Missouri 2.00E-02 2.00E-01 1.10E-01

    Mississippi 2.00E-02 1.20E-01 7.00E-02

    Glacial deposits

    Outwash plains 5.00E-02 2.00E+00 1.03E+00

    Esker, Westfiels, Mass. 1.00E-02 1.30E-01 7.00E-02

    Delta, Chicopee, Mass. 1.00E-04 1.50E-02 7.55E-03

    Till 1.00E-04

    Wind deposits

    Dune sand 1.00E-01 3.00E-01 2.00E-01

    Loess 1.00E-03

    Loess loam 1.00E-04

    Lacustrine and marine offshore

    deposits

    Very fine uniform sand 1.00E-04 6.40E-03 3.25E-03

    Bull's liver, Sixth Ave. N.Y. 1.00E-04 5.00E-03 2.55E-03

    Bull's liver, Brooklyn 1.00E-05 1.00E-04 5.50E-05

    Clay 1.00E-07

    Lambe, T. William, and Whitman, Robert V., Soil Mechanics, SI version , Wiley, New York, 1969.

    Typical Values of Permeability, k

    Lower Limit Upper Limit Average

    Clean gravel 1.0E+00 1.0E+01 5.5E+00

    Clean sand, sand and gravel

    mixtures1.0E-03 1.0E+00 5.0E-01

    Fine sands, silts 1.0E-05 1.0E-03 5.1E-04

    Sand-silt-clay mistures, glacial tills 1.0E-07 1.0E-04 5.0E-05

    Homogeneous clays 1.0E-07

    McCarthy, David F., Essentials of Soil Mechanics and Foundations: Basic Geotechnics , Fifth Edition, Prentice Hall, 1998.

    (cm/s)

    (cm/s)

    Soil

    k

    Soil

    k

    Page 11 of 11