160 likes | 172 Views
our goal is to develop our physical intuition for Earth Materials. Materials Sense:. Integrating Earth Materials into a Deep Earth Curriculum. Materials of the Deep Earth. Integrating Earth Interiors into Mineral Sciences Curricula. Three most abundant elements in the Earth.
E N D
our goal is to develop our physical intuition for Earth Materials Materials Sense: Integrating Earth Materials into a Deep Earth Curriculum
Materials of the Deep Earth Integrating Earth Interiors into Mineral Sciences Curricula
Three most abundant elements in the Earth
Elements of The Earth stellar spectra reveal composition Indirect evidence: Solar Spectra Meteorites Hand samples Experiments Each set of lines is a “fingerprint” for each element
Atomic-scale structure governs the physical and chemical behavior of rocks and minerals case 1: Single-size spheres
Iron in the Earth’s Core? Anisotropy? cubic close pack body center cubic www.ldeo.columbia.edu/~richards/Jefflec.html
Atomic-scale structure governs the physical and chemical behavior of rocks and minerals case 2: Two-different size spheres: O and Si
pressure 0 25 GPa O Si coordination tetrahedral (SiO4) octahedral (SiO6)
Basic Units • Definition SI Unit Example • distance meter m Prof. Kavner • time seconds Heartbeat • mass kilogram kg Laptop • density Kg/m3 or g/cm3 1 water, 3 rock 8 iron Students should know definitions, units, and examples from daily life and Earth
Derived Units acceleration (a) m/s2 10 Earth’s gravity force (F) N, Kg*m/s2 fall of small object pressure (F/area) PaEarth pressure (GPa) energy Joulesmechanical, heat, etc. power Watt, J/smechanical, heat, etc.
Energy and constitutive properties Conjugate Variables Equilibrium Properties Transport Properties (energy units) Stress-Strain Elastic Constants (GPa) Viscosity (Poise, Pa s) Pressure-Volume Bulk Modulus (GPa) Elastic wavespeeds (m/s) Temperature-Entropy Heat Capacity (Joule/mol/K) Thermal Conductivity (W/m/K) Chemical potential-moles* Phase diagram Chemical Diffusion (m2/sec) Electric field-current Electrical conductivity (ohms) Isotropic vs. Anisotropic
Which mineral will have anisotropic physical properties?
Deep Earth Toy Model Purpose: To gain physical intuition for properties of deep Earth materials Goal: Calculate density and wavespeeds as a function of pressure for variety of deep Earth minerals, and compare with PREM Abilities: Can map compositional changes and temperature variations onto seismic observables (wave velocity variations)