 “Phase diagrams are the beginning of wisdom…” William Hume-Rothery obe

Yüklə 518 b.
 tarix 06.05.2018 ölçüsü 518 b. “Phase diagrams are the beginning of wisdom…” -- William Hume-Rothery OBE The Non-Linear Phase Equilibrium Problem The Non-Linear Phase Equilibrium Problem The Non-Linear Phase Equilibrium Problem  The Linearized Phase Equilibrium Problem: “Pseudocompound” Approximation A Problem with Pseudocompounds Conclusions for Part I Equation of State, Stixrude & Bukowinski 1990 Computed Pyrolite (CaO-FeO-MgO-Al2O3-SiO2) Phase Relations “Phase diagrams are the beginning of wisdom not the end of it.” -- William Hume-Rothery Part II: the beginning of wisdom? Putting g into geodynamics: What is the geodynamic equation of state (EoS)? Putting g into geodynamics: What is the geodynamic equation of state (EoS)? Putting g into geodynamics: What is the geodynamic equation of state (EoS)? Optimization of exotic free energy functions: example h(s,P) Optimization of exotic free energy functions: example h(s,P) How do we put u(s,v) into geodynamic models? The energy (aka temperature) equation as an example How do we put u(s,v) into geodynamic models? The energy (aka temperature) equation as an example A morsel of wisdom? Enter Amir Khan: Geophysical Inversions for Planetary Composition, Temperature and Structure Inversion Strategy Searching for the Answer Bayesian Inversion: Prior Probability, Likelihood and Posterior Probability Bayesian Inversion: Prior Probability, Likelihood and Posterior Probability Bayesian Inversion: Prior Probability, Likelihood and Posterior Probability What’s good about an EM inversion? The Observations What’s bad about EM inversion? The forward model. Parameterization of the Physical Model   Thermal models mantle composition  Mantle Mineralogy Mantle Conductivity Profile Density and Seismic Velocities Resolution and Stability Is there any hope of (at least) an inversion consensus?  • More generally terrestrial inversions yield low Mg/Si (1.05-1.2) and low bulk CaO and Al2O3 Mars What is known well: 4 Scalars (Yoder et al. ‘03) Martian Mantle Composition Martian Mantle Mineralogy Core Radius and Density Areotherms and the Frozen Core Dilemma Martian Conclusions • Free energy minimization provides the basis for a general physical model that permits joint inversion of a priori unrelated geophysical data sets (seismic, gravity, electromagnetic) Martian Temperature Distributions Seismic Velocities and Thermodynamic Consistency Core Radius and CMB Temperature Martian Inversion Resolution (T at 1200 km)  Mapping Strategy  “Phase diagrams are the beginning of wisdom not the end of it.” -- Sir William Hume-Rothery Optimize what when? And an Unexpected Virtue of the Linearized Solution Forward Geodynamic Modelling: Subduction Zone Decarbonation   Slab fluid composition and production Slab Properties • Con: Ignores strong autocorrelation of thermodynamic parameters Dostları ilə paylaş:

Verilənlər bazası müəlliflik hüququ ilə müdafiə olunur ©genderi.org 2019
rəhbərliyinə müraciət Ana səhifə