Earth's Magnetic Field & Geodynamo Simulator

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B_eq = 30.6 µT — Polar field: 61.2 µT. Dipole tilt: 11.5°. Field energy: 6.4×10¹⁸ J.

Earth's current dipole (8 x 10^22 A*m^2) produces a surface field of approximately 30.6 uT at the equator and 61.2 uT at the poles, tilted 11.5 degrees from the rotation axis.

Formula

B_r = (2μ₀ M cosθ) / (4π r³), B_θ = (μ₀ M sinθ) / (4π r³)
|B| = (μ₀ M / 4π r³) sqrt(1 + 3cos²θ)
Rm = μ₀ σ v L (magnetic Reynolds number)

The Geomagnetic Dipole

To first approximation, Earth's magnetic field resembles that of a geocentric tilted dipole, with the magnetic axis offset about 11.5° from the rotation axis. This dipolar field component accounts for about 90% of the surface field energy, with the remainder in higher-order multipole terms that arise from complex core flow patterns and crustal magnetization.

The Geodynamo

Convection in Earth's liquid iron outer core, driven by heat loss to the mantle and latent heat from inner core crystallization, generates the geomagnetic field through electromagnetic induction. The magnetic Reynolds number Rm = μ₀σvL must exceed a critical value (~40) for self-sustaining dynamo action, requiring flow speeds of ~10-20 km/year in the core.

Field Geometry and Variations

The dipole field strength varies from ~25 µT at the equator to ~65 µT at the poles, following the characteristic 1/r³ distance dependence. Secular variation — slow changes over decades to centuries — reflects evolving core flow. The South Atlantic Anomaly, a region of anomalously weak field, has been growing and may indicate the early stages of field reorganization.

Paleomagnetic Record

Ferromagnetic minerals in volcanic rocks and sediments record the ambient field direction and intensity at the time of formation. This paleomagnetic archive reveals that Earth's field has reversed polarity hundreds of times over geologic history, with the current normal polarity (Brunhes epoch) lasting 780,000 years. The time-averaged paleomagnetic field aligns with the geographic axis, confirming the intimate connection between Earth's rotation and the dynamo process.

FAQ

What generates Earth's magnetic field?

Earth's magnetic field is generated by the geodynamo: convective motions of liquid iron alloy in the outer core (2900-5150 km depth). These electrically conducting flows, organized by the Coriolis force, generate and sustain electric currents that produce the predominantly dipolar magnetic field observed at the surface.

Why does Earth's magnetic field reverse?

Geomagnetic reversals occur when turbulent fluctuations in core flow overcome the existing dipole field. During reversals lasting ~1000-10000 years, the field weakens, becomes complex and multipolar, then re-establishes with opposite polarity. Over the past 5 million years, reversals have occurred roughly every 200,000-300,000 years on average.

How strong is Earth's magnetic field?

The surface field ranges from about 25 uT near the equator to 65 uT near the magnetic poles. For comparison, a refrigerator magnet is about 5000 uT (5 mT), and an MRI machine is about 1.5-3 T — roughly 50,000 times stronger than Earth's field.

What is secular variation?

Secular variation refers to slow changes in Earth's magnetic field over years to centuries, driven by evolving flow patterns in the liquid outer core. The dipole moment has been decreasing at about 5% per century since measurements began, and the magnetic north pole has been drifting from Canada toward Siberia at accelerating rates.

Sources

Embed

<iframe src="https://homo-deus.com/lab/geophysics/magnetic-field/embed" width="100%" height="400" frameborder="0"></iframe>
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