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Lecture 11 Mantle Convection

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    Theory of Plate Tectonics

    Surface of the Earth is covered by aseries of plates

    Creation of seafloor at mid-ocean ridgesis compensated by destruction at

    subduction zones

    Continents never subduct

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    What drives plate motion?

    Crust travels from spreading centerwhere it created to subuction zone

    where it is destroyed.

    What closes the loop?

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    Deformation of Solids

    Elastic deformation (reversible) Fracture (irreversible) Ductile deformation (irreversible) Rocks are brittle at low pressure, low

    temperature, fast stresses

    Rocks can flow at high pressures andtemperatures and when stress is appliedslowly

    Can solids flow?

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    Can solids flow?

    http://www.youtube.com/watch?v=njTjfJcAsBg

    Can solids flow?

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    Does ductile flow in mantle connect downwelling atsubduction zones and crust formation at ridges?

    Evidence for flow in themantle

    Isostatic compensation of continentsand ocean crust

    Isostatic rebound from glaciation

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    Archimedes principle

    The upward bouyant force on an object isequal to the weight of the displaced fluid

    Fb= mbg (balance of forces)

    mfg = mbg (Archimedes)

    !fhfAbg= !bhbAbghf/hb= !b/!f

    Fb

    mbg hbhf

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    Archimedes principle

    The upward bouyant force on an object isequal to the weight of the displaced fluid

    !keeping the pressure at depth constant

    Water has a density of 1 g cm-2. Wood

    has a density of .5 g cm-2. What fraction

    of a wood block floats below the surface

    of the water?

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    Water has a density of 1 g cm-2. Ice has

    a density of .9 g cm-2. What fraction of an

    iceberg floats below the surface of the

    water?

    The mantle has a density of 3.3 g cm-2.

    Continental crust has a density of 2.6 g

    cm-2. If the continent were floating on the

    mantle what fraction would be beneath

    the surface?

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    Continental Crust

    How do we know continentshave roots?

    Fg= GMm/r2

    For which case will we measure a

    stronger gravitational pull?

    !=2.6

    !=3.3

    !=2.6

    !=3.3

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    Oceanic Crust

    Viscosity of peanut butter 105x greater than waterViscosity of the mantle 1024x greater than water

    How easily can the mantle flow?

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    Is there convection in the

    mantle?

    What drives convection?

    density contrast in a fluid (heating from below)

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    Mantle Convection

    Heat Source = Radioactive decay

    What inhibits convection?

    If a fluid is too viscous the heat will betransferred by conduction, not

    convection

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    Rayleigh Number

    " = coefficient of thermal expansiong= gravitational constant

    #T= temperature difference between the top and bottom

    h= height

    $= viscosity

    %= thermal conductivityRa> 2000 Convection will occur

    Ra of mantle O(106)

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    All else being equal which of the following

    properties do not encourage convection in

    a fluid that is heated from below?1. Low viscosity2. Low thermal conductivity3. Thick layer of fluid4. Low coefficient of thermal expansion

    Do plate boundaries

    correspond to mantleconvection cells?

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    Where is subduction?Ridges must be migrating away from each other

    Are rising and descedingbranches at the same spot?

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    Shallow (100s km) upwelling

    at ridges

    Driven by gap created by spreading. Not convection.

    .. One part of the picture iscorrect

    The slab descends to the core mantle boundary

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    Does slab pullhelp drive plate motion?

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    Where is rising motion?

    Intra-plate (hot spot)volcanism

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    Mantle plumes extend to the core-mantle boundary

    Active Mantle plumes

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    Which of the following statements is true?

    1. Mantle convection is unrelated to platetectonics

    2. Subduction zones correspond to thedowndrafts in mantle convection

    3. Spreading centers correspond to theupdrafts in mantle covection

    4. Hotspots correspond to the downdrafts inmantle convection


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