The stagnant bottom layer of convecting magma chambers

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Scientific paper

To interpret the many observations made on igneous complexes, a detailed understanding of the structure of the bottom boundary layer is necessary because it is there that most crystallization takes place. Magma chambers are characterized by turbulent convection and cooling through all sides. Focussing on the bottom boundary layer, its evolution is determined by two competing processes: cooling through the floor which yields a stable temperature gradient, and penetration by plumes from the convecting interior. To elucidate the physics of this interaction, we have made a series of laboratory experiments in high Prandtl number fluids undergoing transient turbulent thermal convection. At the start of the experiment, an initially isothermal plane layer of viscous silicone oil is cooled through both its upper and lower boundaries. We investigate a range of Rayleigh numbers of 106-108. We show that a stagnant layer grows at the bottom of the tank. This layer is not penetrated by convective plumes and is not affected by convective mixing. We develop a theory in good agreement with the observations and show that the stagnant layer thickness scales as Ra-1/6. The results allow a detailed model of the temperature regime prevailing at the floor. In a basaltic magma chamber, the stagnant layer reaches a thickness of several tens of meters. A closed chamber has both a well-mixed part and a stagnant part, which implies that crystallization and differentiation proceed in a complex fashion, even if there is no reinjection.

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