Training Geophysics Heat Flow, Volcanology & Geothermal Energy
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Heat Flow, Volcanology & Geothermal Energy

30 min Geophysics

Heat Flow, Volcanology & Geothermal Energy

Earth's internal heat drives volcanism, metamorphism, and plate motion. Heat escapes by conduction through the lithosphere and convection through the mantle and core, creating diverse geological environments and geothermal energy resources.

Definition

Geothermal gradient: continental crust ~25 K/km; oceanic crust near ridges ~100 K/km. Global heat flux: 47 TW total, of which ~50% is primordial and ~50% is radiogenic (U, Th, \(^{40}\)K decay).

Key Result

Magma differentiation: Bowen's reaction series describes the order in which minerals crystallize from cooling magma. Mafic (basaltic) magma is hot (1200°C) and fluid; felsic (rhyolitic) is cooler and viscous, producing explosive eruptions.

Example 1

Supervolcano eruptions: Toba (74,000 years ago, VEI-8) ejected 2800 km³ of material. The resulting volcanic winter cooled Earth 3–5°C, potentially causing a human population bottleneck from ~100,000 to ~10,000 individuals.

Example 2

Enhanced geothermal systems (EGS): inject water into hot dry rock (HDR) at 3–8 km depth to create artificial reservoirs. A 2017 project in Iceland tapped ~430°C supercritical fluid, potentially delivering 50 MW of clean electricity.

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Practice

  1. What is the heat flow paradox at subduction zones?
  2. Explain why Hawaii has shield volcanoes while the Cascades have stratovolcanoes.
  3. How is the age of oceanic crust determined?
  4. Describe the magmatic plumbing system beneath Yellowstone caldera.
Show Answer Key

1. Measured heat flow at subduction zones is anomalously low near the trench (cold slab quenches the mantle wedge) but high in the volcanic arc (~100 km behind the trench) where fluids released by the slab lower the mantle's melting point, generating magma. The paradox: simple conduction models predict no heat flow minimum.

2. Hawaii sits over a deep mantle plume (hotspot) producing low-viscosity basaltic magma → gentle slopes, large volumes, shield shape. Cascades volcanoes form from subduction of the Juan de Fuca plate — water-rich slab fluids produce andesitic/dacitic magma that is more viscous and gas-rich → explosive eruptions, steep stratovolcano profiles.

3. Magnetic anomaly patterns (symmetric stripes) are dated using biostratigraphy and radiometric dating of associated sediments/basalts. The age increases linearly with distance from the ridge, confirming constant spreading rates. Deep-sea drilling (DSDP/ODP/IODP) directly samples and dates basement basalt.

4. A large silicic magma body (~4–15 km depth, partially molten) sits above a deeper basaltic reservoir. The shallow chamber produces rhyolitic eruptions. Seismic tomography shows low-velocity zones (partial melt) and elevated CO₂/He flux at the surface. The system is driven by the Yellowstone hotspot, which has produced three caldera-forming super-eruptions in 2.1 Myr.