transporte clastico y flujo

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    CLASTIC TRANSPORT ANDCLASTIC TRANSPORT AND

    FLUID FLOWFLUID FLOW

    CHAPTER 3CHAPTER 3

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    ChapterChapter--3 Clastic transport3 Clastic transport

    and fluid flowand fluid flowWeatheredrockand minerals fragmentsWeatheredrockand minerals fragments

    aretransported from sourceareastoaretransported from sourceareastodepositionalsites (wheretheyaresubjectdepositionalsites (wheretheyaresubject

    toadditionaltransportandredeposition)bytoadditionaltransportandredeposition)bythreekindsofprocesses:threekindsofprocesses:

    11-- dry (nondry (non--fluidassisted),gravityfluidassisted),gravity--drivendrivenmass wastingprocessessuchasrockmass wastingprocessessuchasrockfallandrockslides;fallandrockslides;

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    22-- wet (fluidassisted),gravitywet (fluidassisted),gravity--driven massdriven mass

    wastingprocesses (sedimentgravitywastingprocesses (sedimentgravity

    flows)suchasgrain flows, mudflows,flows)suchasgrain flows, mudflows,debris flows,andsomeslumps;anddebris flows,andsomeslumps;and

    33-- processesthat involvedirect fluid flowsprocessesthat involvedirect fluid flows

    ofair, water,and ice.ofair, water,and ice.

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    Mass wastingMass wasting

    Fluid flowFluid flow

    Reynolds NumberReynolds Number

    Froud NumberFroud NumberEntrainment,transportandEntrainment,transportand

    depositionofclastsdepositionofclasts

    TransportTransport

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    Mass WastingMass Wasting

    Mass wastingprocessesare importantMass wastingprocessesare important

    mechanismsofsediemnttransport.mechanismsofsediemnttransport.

    Althoughthey movethesoilandrockAlthoughthey movethesoilandrockdebrisonlyshortdistancesdownslope,debrisonlyshortdistancesdownslope,

    theseprocessesplayacrucialrole intheseprocessesplayacrucialrole in

    sedimenttransportbygettingtheproductssedimenttransportbygettingtheproducts

    of weathering intothelongerof weathering intothelonger--distancedistance

    sedimenttransportsystem.sedimenttransportsystem.

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    Mass WastingMass Wasting

    Indry massIndry mass--wastingprocesses, fluidplayswastingprocesses, fluidplayseithera minorroleornoroleatall.eithera minorroleornoroleatall.

    Inrockortalus falls,clastsofanysizeInrockortalus falls,clastsofanysize

    simply fall freely.simply fall freely.

    Downslope movementofbodiesofrocksDownslope movementofbodiesofrocks

    orsediment inslumpsorslidesglideorsediment inslumpsorslidesglide

    downslopeen masse withoutsignificantdownslopeen masse withoutsignificant

    internal foldingor faulting.Fluidsneartheinternal foldingor faulting.Fluidsnearthebaseprovideslubricationandpromotesbaseprovideslubricationandpromotes

    failurealongslippagesurface.failurealongslippagesurface.

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    Reynolds Number

    Re= 2rVp/Q

    Sir Osborne Reynolds addressed the problemof how laminar flow changes to turbulent flow.

    The transition from laminar to turbulent flowoccurs as velocity increases, viscositydecrease, the roughness of the flow boundary

    increases, and/or the flow becomes lessnarrowly confined.

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    Froud NumberFroud Number

    TheFroud Number istheratiobetween fluidTheFroud Number istheratiobetween fluidinertial forcesand fluidgravitational forces.inertial forcesand fluidgravitational forces.

    Itcomparesthetendencyofa moving fluid (andItcomparesthetendencyofa moving fluid (and

    aparticlebornebythat fluid)tocontinue movingaparticlebornebythat fluid)tocontinue movingwiththegravitational forcesthatacttostopthatwiththegravitational forcesthatacttostopthatmotion.motion.

    The forceof inertiaexpressthedistancetraveledThe forceof inertiaexpressthedistancetraveled

    bya discreteportionofthe fluidbefore itcomesbya discreteportionofthe fluidbefore itcomestorest.torest.

    Likereynolds Numbers,FroudnumbersareLikereynolds Numbers,Froudnumbersaredimensionless.dimensionless.

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    Froud NumberFroud Number

    Fr=Fr= fluid inertial forces .fluid inertial forces .

    gravitational forces in flowgravitational forces in flow

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    Deposition: What forces controlDeposition: What forces control

    the settling of particles?the settling of particles?Assoonasaparticle isliftedabovetheAssoonasaparticle isliftedabovethe

    surfaceofabed, itbeginstosinkbacksurfaceofabed, itbeginstosinkbackagain.again.

    Thedistancethat ittravelsdependontheThedistancethat ittravelsdependonthedrag forceofthecurrent,andthedrag forceofthecurrent,andthesettlingsettlingvelocity of the Particlevelocity of the Particle..

    Thevelocityat whichaclastsettlesThevelocityat whichaclastsettlesthrougha fluid iscalculatedusingthrougha fluid iscalculatedusingSTOKES LAWofsettlingSTOKES LAWofsettling

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    Stokes Law of settlingStokes Law of settling

    Thegravitational forcepullingtheparticleThegravitational forcepullingtheparticle

    downversusthedrag forceofthe fluiddownversusthedrag forceofthe fluid

    resistingthissinking.resistingthissinking.

    Theparticle willbe initiallyacceleratedueTheparticle willbe initiallyacceleratedue

    togravity,butsoonthegravitationalandtogravity,butsoonthegravitationaland

    drag forcesreachequilibrium,resulting indrag forcesreachequilibrium,resulting in

    aconstant aconstant Terminal Fall VelocityTerminal Fall Velocity..

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    Thedrag forceexertedbya fluidonaThedrag forceexertedbya fluidona

    fallinggrain isproportionaltothe fluidfallinggrain isproportionaltothe fluid

    density (density (VVFF),thediameter(d)ofthegrain),thediameter(d)ofthegrain

    (incentimeters),thedragcoefficient (C(incentimeters),thedragcoefficient (CDD))

    andthe fallvelocity (V).andthe fallvelocity (V).

    Drag force= CDrag force= CDD (d (d22/4) (/4) (VVFF VV

    22/2)/2)

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    Drag forceDrag force

    Upward forceduetobuoyancyofthe fluidUpward forceduetobuoyancyofthe fluid

    is:Fis:Fupwardupward = 4/3 (d/2)= 4/3 (d/2)33 VVFFgg

    Downward forcesduetogravity:Downward forcesduetogravity: Fg = 4/3 (d/2)Fg = 4/3 (d/2)33 VV ssg, wherepg, wherepss isthedensityisthedensity

    oftheparticle.oftheparticle.

    Drag force= FgDrag force= Fg-- FFupwardupward

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    Drag force= FgDrag force= Fg-- FFupwardupward

    CCDD (d (d22/4) (p/4) (pFF VV

    22/2)= 4/3 (d/2)/2)= 4/3 (d/2)33VVssgg-- 4/3 (d/2)4/3 (d/2)33 VVFFgg

    V2=V2= 4gd (4gd (VVss-- VVFF))

    3 C3 CDD VVFFForlow laminarflow atlow concentrationsofparticleandlowForlow laminarflow atlow concentrationsofparticleandlow

    Reynoldsnumbers, CReynoldsnumbers, CDD isequalto24/Risequalto24/Ree..

    V = 1/18 ([V = 1/18 ([VV ss-- VV FF]gd]gd22 /u)/u)-- Stokes Law ofsettlingStokes Law ofsettling

    VV--velocity,gvelocity,g--gravity,ugravity,u--viscocity,eventhediffernce indensity (viscocity,eventhediffernce indensity (VVss-- VV

    FF) isconstant foragivensituation.Itcanbesubstitute forC) isconstant foragivensituation.Itcanbesubstitute forCC =C = ((VV ss-- VV FF)g)g

    18u18u

    Stokeslaw reducesto V=CDStokeslaw reducesto V=CD22

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    Stokes law reduces to V=CDStokes law reduces to V=CD22

    Whendensityandviscosityareconstant,Whendensityandviscosityareconstant,settlingvelocity increases withthesettlingvelocity increases withthediameteroftheparticle.diameteroftheparticle.

    Larger grains fall faster.Larger grains fall faster.

    Settlingvelocitydecreases withhigherSettlingvelocitydecreases withhigherviscositiesand increases withdenserviscositiesand increases withdenserparticles.particles.C =C = ((VVss-- VVFF)g)g

    18u18u

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    Implications of the StokesImplications of the Stokes

    LawLawHighdensity mineralssettle morerapidlyHighdensity mineralssettle morerapidly

    thanlow density minerals.thanlow density minerals.

    SlowSlow--moving,highlyviscous fluidssuchasmoving,highlyviscous fluidssuchasmudflowsanddensitycurrentscanmudflowsanddensitycurrentscan

    transportcoarsertransportcoarser--grained materialsthangrained materialsthan

    lessviscuos fluidssuchasriversandthelessviscuos fluidssuchasriversandthe

    wind,despitethenormallyhighervelocitywind,despitethenormallyhighervelocityoftheselessviscous fluids.oftheselessviscous fluids.

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    Lowertemperatures will increasviscosityLowertemperatures will increasviscosity

    decreasingthe fallvelocity.decreasingthe fallvelocity.Becauseofturbulence,coarserparticlesBecauseofturbulence,coarserparticles

    fall moreslowlythanpredicted.fall moreslowlythanpredicted.

    NonNon--spherical flakessuchas mica willspherical flakessuchas mica willsettle moreslowlythanspheres withthesettle moreslowlythanspheres withthe

    samedensity.samedensity.

    Angulargrains willgeneratesmallAngulargrains willgeneratesmall

    turbulenteddiesthatretardsettlingturbulenteddiesthatretardsettling

    velocity.velocity.

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    Hydraulic equivalencyHydraulic equivalency

    Theterm referstoclaststhatsettleatTheterm referstoclaststhatsettleat

    identicalvelocitiesdespitesubstantialidenticalvelocitiesdespitesubstantial

    differences insize,shape,angularity,anddifferences insize,shape,angularity,and

    density.density.

    ie. Sediment mixesof finegrained,siltie. Sediment mixesof finegrained,silt--sizesize

    magnetite, finesandmagnetite, finesand--sizebiotite flakes,andsizebiotite flakes,and

    medium sandmedium sand--sizequartz.sizequartz.