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Magnetic Survey of a Lava Dike

Magnetic Survey of a Lava Dike. Variations with Depth and Temperature AARON BAGNELL. Approximating Earth’s Magnetic Field. Earth’s magnetic field can be roughly approximated by that of a dipole tilted at an angle of 11.5 degrees from Earth’s axis of rotation

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Magnetic Survey of a Lava Dike

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  1. Magnetic Survey of a Lava Dike Variations with Depth and Temperature AARON BAGNELL

  2. Approximating Earth’s Magnetic Field • Earth’s magnetic field can be roughly approximated by that of a dipole tilted at an angle of 11.5 degrees from Earth’s axis of rotation • The strength of this field varies with inclination • Earth’s field intensity is then: • M is the magnetic moment of the dipole and R is the radius of the earth

  3. Calculating the Induced Field of the Lava Dike • The measured induced field intensity is dependent on the intensity of the Earth’s magnetic Field, the magnetic susceptibility of the material, the cross-sectional area of the dike and the distance a survey point is from the dike • The field can be separated into a horizontal and a vertical component: • The dike’s induced magnetic field is then: Run with magnetic_survey.m

  4. Variations in magnetic Susceptibility • Magnetic susceptibility is material dependent and inversely proportional to temperature: • C is the Curie constant • Simulate temperature changes with a time dependent solution to the heat equation Run with lava_heat.m

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