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Core Convection and the Geodynamo
Paleomagnetic records indicate that the geomagnetic field has existed for at least three billion years. However, based on the size and electrical conductivity of the Earth's core, the field, if it were not continually being generated, would decay away in only about 20,000 years since the temperature of the core is too high to sustain permanent magnetism. In addition, paleomagnetic records show that the dipole polarity of the geomagnetic field has reversed many times in the past, the mean time between reversals being roughly 200,000 years with individual reversal events taking only a couple thousand years.
These observations argue for a mechanism within the Earth's interior that continually generates the geomagnetic field. It has long been speculated that this mechanism is a convective dynamo operating in the Earth's fluid outer core, which surrounds its solid inner core, both being mainly composed of iron. The solid inner core is roughly the size of the moon but at the temperature of the surface of the sun. The convection in the fluid outer core is thought to be driven by both thermal and compositional buoyancy sources at the inner core boundary that are produced as the Earth slowly cools and iron in the iron-rich fluid alloy solidifies onto the inner core giving off latent heat and the light constituent of the alloy. These buoyancy forces cause fluid to rise and the Coriolis forces, due to the Earth's rotation, cause the fluid flows to be helical. Presumably this fluid motion twists and shears magnetic field, generating new magnetic field to replace that which diffuses away.
However, until now, no detailed dynamically self-consistent model existed that demonstrated this could actually work or explained why the geomagnetic field has the intensity it does, has a strongly dipole-dominated structure with a dipole axis nearly aligned with the Earth's rotation axis, has non-dipolar field structure that varies on the time scale of ten to one hundred years and why the field occasionally undergoes dipole reversals. In order to test the convective dynamo hypothesis and attempt to answer these longstanding questions, the first self-consistent numerical model, the Glatzmaier-Roberts model, was developed that simulates convection and magnetic field generation in a fluid outer core surrounding a solid inner core (Figure 1) with the dimensions, rotation rate, heat flow and (as much as possible) the material properties of the Earth's core [1-5]. The magnetohydrodynamic equations that describe this problem are solved using a spectral method (spherical harmonic and Chebyshev polynomial expansions) that treats all linear terms implicitly and nonlinear terms explicitly [4]. These equations are solved over and over, advancing the time dependent solution 20 days at a time.
After the first magnetic reversal, we continued our simulation on two different branches: one by continuing to prescribe a uniform heat flux out of the core at the core-mantle boundary and the other by prescribing a heterogeneous heat flux there that is similar to the Earth's present pattern. The former has not reversed again; the latter underwent two more reversals, roughly 100,000 years apart. This demonstrates the influence the thermal structure in the lower mantle has on the style of convection and magnetic field generation in the fluid core below.
One part of this numerical solution is the rotation rate of the solid inner core relative to the surface, which evolves according to the torque applied on the inner core by the generated magnetic field. Our solution shows how the field couples the inner core to the eastward flowing fluid above it (Figure 4), keeping it in co-rotation [5]. This mechanism is analogous to a synchronous electric motor for which the field, carried eastward by the fluid, acts like the rotating field in the stator and the inner core acts like the rotor.
The inner core in our simulation typically rotates between 2 and 3 degrees longitude per year faster than the solid mantle and surface [1, 5]. This was a radical prediction for the Earth, especially as seen in the seismic community, which has always assumed that changes in the Earth's interior occur on very much longer time scales. However our 1995 prediction [1] motivated two seismologists from Columbia University in early 1996 to search for evidence of this super-rotation in 30 years of seismic data. They found evidence that supports our prediction and published it in July 1996 [6]. Since then a group from Harvard University, analyzing a different set of seismic data, has also found the inner core super-rotation, which they published in December 1996 [7].
--Gary Glatzmaier, August 1997