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Chapter 5 - Soil-Water Characteristic Curves for Unsaturated Soils.pptx

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    oil-W ater Characterist ic

    Curves for Unsaturated o

    ils

    Chapter 5

    Section 5.1 and 5.2Pages : 184 - 200

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    Section 5.1

    Introduction

    Background of Unsaturated Soil Mechanics

    Early develo!ents on the SWCC in Soil "hysics

    Early e#ui!ent for !easuring SWCC Early concetual !odels of flo$ in unsaturated s

    oils

    %he SWCC in early Soil Mechanics &eed for Unsaturated Soil roerty functions

    %er!inology and 'efinitions

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    Section 5.(

    )olu!e Mass Constitutive relations

    'esignation of a!ount of $ater in Soil

    'efor!a*le and non defor!a*le soils 'esignation of stress state

    Uer li!it for soil suction

    )olu!e + !ass constitutive relationshis

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    Introduction

    SWCC + interaction *et$een the !ass ,andorvolu!e of $ater in a soil and the energy stateof the $ater hase.

    %he SWCCs have an i!ortant role in the deter!ination of unsaturated soil roerty functions.

    %he rocedures that have *een roosed for unsaturated soil roerties are aro/i!ate *utare generally satisfactory for analysing unsaturated soil!echanics ro*le!s.

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    Background of Unsaturated Soil Mechanics

    Early Soil Mechanics ,102-1032 focused !ainly on saturated soil $ith ositive ore $aterressure.

    Consideration of residual soil4 e/ansive soilsand collasi*le soils ,ro*le!atic soils doesnt fall under saturated soil !echanics rinciles.

    It $as clear that there $as need for a theoretical fra!e$ork that e!*raced all unsaturated soil *ehaviour.

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    Early develo!ents on the SWCC in Soil "hysics

    Use of Caillary Model - Briggs ,1607 and 8aines ,10(7.

    a !athe!atical relationshi *et$een the radius of curvature of the air-$ater !eniscus and the ressure differenc

    e *et$een the air and $ater hases. ,Ua- U$ $as sho$nto *e *alanced *y the surface tension %sacting at the $etting angle 9 along the solid surface.

    %er:aghi ,103 and %aylor ,1036 used the caillary !o

    del to e/lain the differences in hysical *ehaviour *et$een saturated and unsaturated soils.

    Micro !echanical !odel + not useful in !acro !echanical geotechnical engineering

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    Early e#ui!ent for !easuring SWCC

    Buckingha! ,1027 !easured SWCCs for a variety of soils.

    ;ichards ,10(64 8aines ,102 and )alle-;odas ,1033 also!easured SWCC Long cylinders were

    flled with soil ater was allowed to

    co!e to e"#ili$ri#!

    with a waterreser%oir at the $aseo& the col#!n.

    'he gra%itationalpotential energy

    within each col#!no& soil was calc#lated$ased on thedistance a$o%e the&ree-water s#r&ace in

    the reser%oir and wasre&erred to as the

    *arly !eas#re!ents o& water content%ers#s !atric s#ction on two soils

    +a&ter,#cin ha! 1/0.

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    )alle-;odas ,1033

    )alle-;odas ,1033 erfor!ed oen-tu*e and caillari!eter tests on unifor! sands.

    )arious sand article si:e ranges $ere s

    earated using sieves. Each !aterial $itha li!ited range of grain si:es $as lacedin the oen tu*e and the caillari!eter.

    %he *otto! end of the sand in the oen tu*e $as i!!ersed in $ater.

    E/eri!ental results sho$ed a gradual change in the $ater content in the sand $ith distance a*ove the $ater reservoir

    istri$#tion o& capillary water

    in sands o& %arying gradation+a&ter 3alle-odas 1/44.

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    Early concetual !odels of flo$ in unsaturated soils

    Childs ,1032 - there $as a relationshi*et$een the SWCC

    and the coefficient of er!ea*ility for anunsaturated soil.

    Caillary !odel < S

    WCC led to the definition of an effectiveore-si:e dia!eter.

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    %he SWCC in early Soil Mechanics

    %he =irst International Conference on Soil Mechanics and =oundation Engineering ,10>)an Mourik Broek!an and Buis!an ,10> - not

    ed that negative ore-$ater ressures layed an i!ortant role in the sta*ility of sloes.

    In the 1062s and 1002s4 the SWCC *eca!e

    the *asis for the esti!ation of nonlinear unsaturated soil roerty functions for all tyesof geotechnical engineering ro*le!s.

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    &eed for Unsaturated Soil roerty functions

    Measure!ent of unsaturated soil roerty functions are unacceta*ly costly.

    SWCCs have e!erged as a ractical and suffic

    iently accurate tool for the esti!ation of unsaturated soil roerty functions for !ost geotechnical engineering ro*le!s.

    %he SWCC has *eco!e vie$ed as the ?key@ tothe i!le!entation of unsaturated soil !echanics in engineering ractice ,'.A. =redlund4 (22(a.

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    %er!inology and 'efinitions

    SWCC4

    Suction+Water content relationshi4

    ;etention curves4

    Moisture retention curves4

    Soil !oisture retention curves4 and Water retention curves ,W;Cs.

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    'ypical desorption SCC showing distinct ones o&desat#ration.

    'he ey transition points on the SCC are the air-entry%al#e and the resid#al %al#e &or s#ction and water content.

    'hese transition points are defned on the degree o&sat#ration %ers#s soil s#ction plot and s#$di%ide the SCC

    into the ($o#ndary e6ect) one the (transition) one andthe (resid#al) one.

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    'esignation of a!ount of $ater in Soil

    )aria*les used to define thea!ount of $ater in the soil aregravi!etric $ater content $4

    volu!etric $ater content 4degree of saturation S4

    volu!e of $ater4 )$4 referenced to the original volu!e o

    f the seci!en4 )2,i.e.4 )$-)2.

    'i!ensionless gravi!etric $ater content dg

    where:w 7 gra%i!etric water

    content w7 !ass o& waterand s7 !ass o& soil solids.

    where:9 7 %ol#!etric water content

    3w7 %ol#!e o& water 3%7%ol#!e o& %oids and 3s7

    %ol#!e o& solids.

    where:S 7 degree o& sat#ration.

    where:w 7 any gra%i!etric watercontent andW

    s7 gra%i!etric water

    content at sat#ration

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    'i!ensionless gravi!etric $ater content

    'i!ensionless gravi!etric $ater content can *e $ritten in ter!s of the individual !easured !ass values as follo$s

    D

    M$2 !ass of $ater in the saturated soil at the start ofthe test4

    Ms !ass of the soil solids4 and

    M$ !ass of $ater at any oint under consideration. )$2 volu!e of $ater in the saturated soil at the start

    of the test.

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    &or!ali:ed gravi!etric $ater content ng and &or!ali:ed volu!etric $ater content n

    v

    ng

    Wr residual gravi!etric $ater conte

    nt nv

    residual volu!etric $ater content

    ata &ro! a sandy soil plotted in ter!s o&di!ensionless water content and nor!alied

    water content.

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    'efor!a*le and non defor!a*le soils

    Classifcation o& SCCs $ased on a!o#nt o& %ol#!e change thatocc#rs as soils#ction is increased.

    'he ter!s (de&or!a$le) and (nonde&or!a$le) are $eing #sed!ainly with respect to the !aterial response to changes in soils#ction. Sands are essentially nonde&or!a$le !aterials $eca#seo& their low co!pressi$ility. Sands are essentially nonde&or!a$lee%en when prepared as sl#rry. Clays can $e either de&or!a$le or

    essentially nonde&or!a$le depending #pon the initial watercontent stress history and nat#re o& the

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    Shrinage c#r%es

    corresponding to %ario#s initialconditions

    o& soil speci!en.

    *6ect o& stress history and!ethod o& speci!en

    preparation on !eas#redSCC.

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    'esignation of stress state

    Soil s#ction %ers#s gra%i!etric water content &or initiallysl#rry egina clay +&ro! ;redl#nd 1/

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    Co!ponents o& soil s#ction and total s#ction &or eginaclay +&ro! ;redl#nd

    2002a.

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    egree o& sat#ration %ers#s soil s#ction &or a highlyplastic clay prepared as a

    sl#rry +&ro! ;redl#nd 1/

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    Uer li!it for soil suction

    Ai**s free-energy state e#uation

    ln,uv-uv2

    $here F total suction4 k"a4 ; universal gas constant G6.13( H,!ol J4

    %I a*solute te!erature4 ,%I (7.1> < % 4

    $here % te!erature4 KC4

    )$2 secific volu!e of $ater4 !-kg4 Lv !olecular !ass of $ater vaor ,16.

    21> kgk!ol4 uv artial ressure of $ater4 k"a4

    Uv2 saturation ressure of $ater vaor over a flat surface of ure $ater.

    Soil s#ction as anction o& relati%eh#!idity in thea!$ient or internalpore-air.

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    'heoretical soil s#ctions corresponding torelati%e

    h#!idities in e=tre!ely high total-s#ctionrange.

    'heoretical soil s#ctions corresponding t

    relati%eh#!idities in e=tre!ely high total-s#ctio

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    )olu!e + Mass constitutive relationshis

    e eo Cclog , u$-o u$

    $here

    eo initial or reference void ratio at o u$4

    u$ ore-$ater ressure4 o initial or reference total stress ,i.e.4 vertical stre

    ss for

    I2loading4

    total stress state under consideration4 and

    Cc co!ressive inde/ ,i.e.4 sloe of the virgin co!ression *ranch.

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    e&erence co!pression c#r%es &or sat#rated soil +&ro!;redl#nd 200 +$ $ase-10

    logarith! scale.

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    ; i i

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    ;evisions'otal S#ction atric S#ction and ?s!oticS#ction

    e&er Section @.< ole o& os!otic s#ction pp:105-10

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    Effective ore si:e dia!eter%he effective dia!eter of a ore is defined as th

    e !a/i!u! dia!eter of a sherical article $hi

    ch can ass through the ore in the !e!*rane%otal Suction N4 Os!otic suction and !atricsuction

    Arahn and ;redl#nd+1/2

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