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Lecture 3 09/05/25 Earth's interior

Crust

  • Thin outer skin of Earth, rocky in composition

  • Two main types:

    • Oceanic crust: under oceans

    • Continental crust: under continents

  • Oceanic crust characteristics:

    • Composition: mainly igneous rock called basalt

    • Average thickness: 7 \text{--} 10\ \text{km}

    • Density: around 3\ \text{g cm}^{-3}

  • Continental crust characteristics:

    • Rock types vary; average is granite

    • Average thickness: 35--40\ \text{km} (can exceed 70\ \text{km} in high mountain belts)

    • Density: around 2.7\ \text{g cm}^{-3}

  • Why continental crust is thicker and higher than oceanic crust:

    • Crust is less dense than the mantle beneath, so it floats on top of the mantle

    • Regions with high elevation have thick crust; low-elevation regions have thinner crust

    • Oceanic crust is thinner and denser, so regions composed mostly of oceanic crust are well below sea level

  • Basalt vs Granite: basalt is typical for oceanic crust; granite is typical for continental crust

  • Visual analogy: Raft on a dense medium; crust floats on mantle

Mantle

  • Bulk of Earth’s interior; solid rock layer between crust and core

  • Thickness: 2{,}885\ \text{km}; volume ~ 82% of Earth

  • Composition: ultramafic rock called peridotite

  • Temperature/flow: rock is hot enough below ~100$-$150\ \text{km} to flow slowly

  • Convection: hot mantle rises, cold mantle sinks (slow process)

  • Subdivisions:

    • Upper mantle (a part of the lithosphere above the asthenosphere)

    • Transitional mantle

    • Lower mantle (denser and hotter)

  • Mantle convection illustrated: hot mantle rises, cools, moves laterally, sinks, warms, and rises again; plates form and diverge; convergence leads to subduction (cool plate sinks into mantle)

  • Mantle’s solid behavior over different timescales:

    • Short timescales: brittle, behaves like rock (earthquakes)

    • Long timescales: behaves like a viscous fluid (convection)

  • Silly Putty analogy to illustrate solid that flows over long timescales

Core

  • The core is an iron-rich sphere with a radius of r_{\text{core}} = 3471\ \text{km}

  • Divided into two components:

    • Inner core: radius r_{\text{inner}} = 1220\ \text{km}; solid due to immense pressures at Earth's center

    • Outer core: thickness t_{\text{outer}} = 2255\ \text{km}; liquid layer

  • Composition:

    • Iron–nickel alloy

    • Minor oxygen, silicon, and sulfur (react with iron)

  • Densities:

    • Inner core: \rho_{\text{inner}} \approx 13\ \text{g cm}^{-3}

    • Outer core: \rho_{\text{outer}} \approx 10{\text{--}}12\ \text{g cm}^{-3}

    • Surface rocks: ~3\ \text{g cm}^{-3} (for comparison)

  • Temperature: inner core temperature comparable to the surface of the Sun, ~6{,}000\ ^{\circ}\text{C}

  • Core material and evidence:

    • Very dense and hot; inner core remains solid under high pressure; outer core remains liquid due to high temperatures despite pressures

  • Additional note: iron meteorites provide evidence for core composition (iron-nickel alloy)

The Core: Rotation and Dynamo

  • Both inner core and outer core are rotating

  • Heat from the solid inner core drives convection in the liquid outer core

  • Convection in the outer core generates electric currents

  • These electric currents generate Earth’s magnetic field; field approximated as a magnetic dipole (bar magnet)

Magnetic Field and Geodynamo Evidence

  • Observable magnetic field exists; changes over time (secular variation) and occasional reversals

  • Magnetic reversals: North and South magnetic poles flip

  • Paleomagnetic evidence: rocks record past magnetic field states through remanent magnetization

  • Mechanisms by which rocks preserve ancient magnetism:

    • Thermoremanent magnetization: when certain rocks form, they lock in the magnetic conditions at that time

    • Depositional remanent magnetization: magnetization retained during rock deposition

  • Paleomagnetic time scale reveals the history of geomagnetic reversals; notable interval called the Cretaceous Quiet Zone (long period of normal polarity)

  • Time scales: magnetic chrons average about half a million years in duration, with irregularities in length but overall long sequences

Evidence for Earth’s Internal Structure: Direct Sampling and Indirect Methods

  • Direct sampling: deepest mine ~4\ \text{km}; deepest drill hole ~12\ \text{km}

  • Indirect evidence from density of Earth:

    • Global density of Earth ~5.5\ \text{g cm}^{-3} (Earth’s mass/volume)

    • Surface rocks have densities between 2.0\ --\ 2.7\ \text{g cm}^{-3}

    • This implies much denser material in the interior to achieve the overall higher density

  • Mantle rocks and xenoliths:

    • Mantle material occasionally samples reach the surface via volcanic magma as xenoliths

    • Xenoliths are pieces of mantle rock contained in erupted lava

  • Meteorites as clues to planetary composition:

    • Meteorites come in three broad types:

    • Stony meteorites: mantle-like material

    • Iron meteorites: core-like material

    • Stony-Iron meteorites: mix of rocky and metallic material

    • Meteorites support Earth’s layered composition (core/mantle/crust) and provide age/compositional evidence

  • Radiometric and density-based inferences complement direct sampling to characterize interior structure

Seismology: Probing the Interior with Seismic Waves

  • Seismic waves are energy waves radiated by earthquakes; used to infer Earth’s interior structure

  • Two main wave categories:

    • Body waves: travel through Earth’s interior

    • Surface waves: travel along Earth’s surface

  • Focus on Body Waves for interior structure

  • Body waves types:

    • P-waves (primary or compressional):

    • Particle motion in the direction of wave travel (compression/extension)

    • Can travel through solids and liquids

    • Fastest seismic waves

    • Typical speed ~v_P \approx 6\ \text{km s}^{-1}

    • S-waves (secondary or shear):

    • Particle motion perpendicular to wave travel direction

    • Cause shearing of material

    • Can only travel through solids (cannot travel through liquid)

    • Slower than P-waves; typical speed ~v_S \approx 4\ \text{km s}^{-1}

  • Seismographs record vibration as waves arrive; velocity differences reveal material properties and boundaries

  • Wave speeds depend on density and phase (solid vs liquid):

    • In general, higher density materials yield faster P-wave speeds

    • In a single material, P-waves are faster than S-waves; S-waves cannot propagate in liquids

  • Seismic wave paths are bent (refracted) when crossing boundaries where material properties change (density, phase)

  • The mantle is solid, allowing P- and S-waves; the outer core is liquid, causing S-waves to be blocked and P-waves to refract

Shadow Zones and Core Boundaries

  • Shadow zones are angular regions where certain seismic waves are not detected from a given earthquake due to core boundaries

  • P-wave shadow zone: not recorded at epicentral angles between roughly 103^{\circ} and 150^{\circ}

  • S-wave shadow zone: S-waves do not reach stations within epicentral angles greater than roughly 103^{\circ}

  • Interpretation:

    • S-waves do not travel through the liquid outer core; presence of S-wave shadow zones confirms a liquid layer

    • P-waves refract at the liquid/solid boundary, causing a drop in velocity when entering the outer core and bending paths downward

    • The two-layer core (outer liquid, inner solid) was inferred from refraction and reflection of P-waves at core boundaries

  • Seismic velocity changes with depth indicate phase changes and density variations; these changes map to different Earth layers

  • Technologies used: seismographs, seismograms, and global seismic networks (e.g., IRIS) to compile the seismic data across the globe

Seismic Wave Refraction and Boundary Crossing

  • Why waves bend: velocity depends on material properties; when crossing boundaries with different velocities, waves refract

  • Core–mantle boundary effects:

    • Mantle vs. core boundary causes significant velocity contrast

    • P-waves slow down when entering the outer core (from solid mantle to liquid outer core)

    • In the core, velocities behave differently due to different states of matter (solid inner core vs liquid outer core)

  • Velocities and materials:

    • P-wave velocity generally increases with depth due to increasing pressure and density

    • S-waves vanish in liquids; thus, their absence in the outer core is diagnostic of a liquid layer

How We Use Seismic Data to Infer Earth’s Interior

  • Relationship between velocity, density, and composition:

    • Seismic velocities reflect rock density and elastic properties

    • Heavy, dense materials yield higher velocities

  • Typical seismic velocities (approximate values):

    • Continental crust: density ~ \rho{crust}\approx 2.6\ \text{g cm}^{-3}, P-wave velocity ~ vP \approx 6\ \text{km s}^{-1}

    • Oceanic crust: density ~ 2.9\ \text{g cm}^{-3}, P-wave velocity ~ v_P \approx 7\ \text{km s}^{-1}

    • Mantle (average): density ~ 3.3\ \text{g cm}^{-3}, P-wave velocity ~ v_P \approx 8\ \text{km s}^{-1}

  • Core composition and state explain seismic observations:

    • Outer core is liquid (S-waves do not propagate; P-waves slow and refract into the core)

    • Inner core is solid (S-waves can propagate in the inner core, but their paths are affected by the solid–liquid boundaries)

  • Radiometric and seismic data together support a layered Earth model with distinct velocity and density profiles

Key Concepts and Connections to Foundational Principles

  • Layered structure of Earth by composition and by behavior

  • Lithosphere vs. Asthenosphere vs. Deep Mantle: mechanical vs. compositional definitions

  • Isostasy and buoyancy: crust floats on mantle due to density differences

  • Geodynamo: convection-driven magnetic field generation in the outer core

  • Paleomagnetism: rocks recording historical magnetic fields, enabling reconstruction of geomagnetic reversals

  • Seismology as a probe: inverse problem of inferring interior from wave travel times and paths

  • Evidence from meteorites corroborates Earth’s differentiated structure and age

  • Real-world relevance: plate tectonics, volcanic activity, earthquakes, and magnetic field shielding

Concept Questions (from lecture prompts)

  • Lithosphere vs. crust: which statements are accurate and why?

    • Student 1: Lithosphere and crust are the same; lithosphere is another name for the crust

    • Student 2: Lithosphere and crust describe different aspects; terms have different meanings

    • Student 3: Lithosphere lies beneath the crust; they are different layers

  • Which Earth layers are liquid? Which are solid?

  • Which crust type is thicker and which is denser?

  • What is special about mantle below 100–150 km depth (asthenosphere and deep mantle)?

  • How do P- and S-waves help map Earth’s interior?

  • Concept sketch: label major layers and approximate thicknesses, plus P- and S-wave paths and where they terminate or bend

Historical Perspective: How the Earth’s Layers Were Discovered

  • Seismic data from earthquakes and global networks revealed discontinuities in velocity and wave behavior

  • Early analogies: ultrasound-like techniques for Earth

  • Key evidence came from shadow zones, refractions, and reflections of seismic waves across core boundaries

  • Modern sources include global networks (e.g., IRIS) and earthquake catalogs to map Earth’s interior

Practical Activity References

  • Mystery Box activity (group exercise) to explore interior structure through deduction about internal features and observations

  • Reflect on how seismic data and physical properties infer unseen interiors

Summary of Layered Structure (Quick Reference)

  • Crust: outermost layer; two types (oceanic and continental); thicknesses and densities as above

  • Mantle: thick, ultramafic peridotite; convection drives plate tectonics; three subdivisions (upper, transitional, lower)

  • Core: deepest layer; outer core liquid (Fe–Ni with minor light elements); inner core solid; extreme densities and high temperatures

  • Lithosphere vs. Asthenosphere: mechanical behavior-based definitions

  • Seismic waves: P-waves (compressional, through solids and liquids, fastest) and S-waves (shear, only through solids, slower); surface waves also exist but are not the focus here

  • Shadow zones: critical evidence for liquid outer core and core–mantle boundaries

  • Evidence: density, xenoliths, meteorites, and seismology together build a consistent picture of Earth’s interior

vP \approx 6\ \text{km s}^{-1},\qquad vS \approx 4\ \text{km s}^{-1}
r{\text{inner}} = 1220\ \text{km},\quad r{\text{core}} = 3471\ \text{km},\quad t{\text{outer}} = 2255\ \text{km} \rho{\text{inner}} \approx 13\ \text{g cm}^{-3},\quad \rho{\text{outer}} \approx 10\text{--}12\ \text{g cm}^{-3} T{\text{inner}} \approx 6{,}000\,^{\circ}\text{C}