Radiative Thermal Conductivity of the Lower Mantle Emma

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Radiative Thermal Conductivity of the Lower Mantle Emma Rainey Abby Kavner Laurent Pilon

Radiative Thermal Conductivity of the Lower Mantle Emma Rainey Abby Kavner Laurent Pilon

Lower Mantle Thermal Conductivity Mantle QCMB Core Lay et al. , 2008 Better constraints

Lower Mantle Thermal Conductivity Mantle QCMB Core Lay et al. , 2008 Better constraints on kmantle needed

Heat Conduction Mechanisms • Two mechanisms likely control heat flow in lower mantle thermal

Heat Conduction Mechanisms • Two mechanisms likely control heat flow in lower mantle thermal boundary layer • Relative importance not well-known Lattice Vibrations http: //quantum-sidsen. blogspot. com/ Radiation Courtesy of B. Greenhagen

Heat Conduction Mechanisms • Two mechanisms likely control heat flow in lower mantle thermal

Heat Conduction Mechanisms • Two mechanisms likely control heat flow in lower mantle thermal boundary layer • Relative importance not well-known Lattice Vibrations http: //quantum-sidsen. blogspot. com/ Radiation Courtesy of B. Greenhagen

Diffusive Radiative Heat Transfer Thermal boundary layer (105 m) Mantle Scales Grain size (10

Diffusive Radiative Heat Transfer Thermal boundary layer (105 m) Mantle Scales Grain size (10 -3 m) Phonon scattering length (10 -9 m) Photon absorption length (10 -4 m) DT across grain < 10 -4 K krad depends on two optical properties: – Index of refraction (nl) – Absorption coefficient (bl)

Mantle Index of Refraction Model Anderson and Schreiber, 1965 n = 1. 05 +

Mantle Index of Refraction Model Anderson and Schreiber, 1965 n = 1. 05 + 0. 188 r • Dominant high P/T effect on n expected to be from density • n scales linearly with density for minerals n 1. 8 – 2. 2 in lower mantle Refractive index

High-Pressure Absorption Coefficient of (Mg, Fe)Si. O 3 Perovskite pressure Goncharov et al. ,

High-Pressure Absorption Coefficient of (Mg, Fe)Si. O 3 Perovskite pressure Goncharov et al. , 2008 Keppler et al. , 2008

krad(T) of Major Lower Mantle Phases Perovskite Keppler et al. Goncharov et al. P

krad(T) of Major Lower Mantle Phases Perovskite Keppler et al. Goncharov et al. P P

krad(T) of Major Lower Mantle Phases Perovskite Ferropericlase Keppler et al. 6% Fe 15%

krad(T) of Major Lower Mantle Phases Perovskite Ferropericlase Keppler et al. 6% Fe 15% Fe Goncharov et al. P P P 25% Fe P P (Mg, Fe)O absorption coefficients from Goncharov et al. , 2006 and 2009

krad vs. Mantle Depth Perovskite (Keppler et al. ) Perovskite (Goncharov et al. )

krad vs. Mantle Depth Perovskite (Keppler et al. ) Perovskite (Goncharov et al. ) Ferropericlase

Composite Mantle krad q Data from Keppler et al. Parallel Data from Goncharov et

Composite Mantle krad q Data from Keppler et al. Parallel Data from Goncharov et al. Series • Composite mantle: 80% Pv + 20% Fp q

Summary • krad at CMB 1 -4 W/m·K • Sensitivity of krad to mantle

Summary • krad at CMB 1 -4 W/m·K • Sensitivity of krad to mantle properties: • Iron content has large effect compared to temperature • Individual phases and phase configuration have significant effect • Calculated krad is upper bound • Neglected scattering and minor impurities

BACKUPS

BACKUPS

Index of Refraction and Temperature Profiles

Index of Refraction and Temperature Profiles