Tidal Dissipation in the Loki Patera Magma Sea on Io

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We compute how tidal energy may be dissipated in the Loki Patera magma sea using different models to describe the frequency-dependent response of the magma in the sea. Our objective is to determine what role tidal dissipation may play in maintaining Loki Patera's thermal emission, some10-20% of Io's heat flow. We first model the Loki region as a Maxwell body. Such a model is governed by the silicate viscosity-temperature relationship. However, magma is a non-newtonian liquid with a complex rheology dependent on interactions between the different phases present: liquid, crystals and bubbles form a slurry with each component responding differently to changing temperature and stress. The behaviour of cyclically stressed basalt has been observed in laboratory for frequencies between 0.005 and 1 Hz (periods of 1 to 200 s). Bagdassarov et al. show that models including a structural component are more appropriate to describe the behaviour of a multiphase medium. From the trend observed at low frequencies we extrapolate these data to tidal frequencies encountered at Io and combine them with field measurements of terrestrial magma viscosity and crystal content as a function of temperature. From this modelling we derive bounds on Loki's volumetric heating. We also compute heating per unit area at the bottom of the magma sea.
We demonstrate that the system is self-regulated and stable in the long-term (≥106 years). Comparison between this model and observations allows the inference of constraints on the characteristics of the Loki magma sea (e.g., depth).
This work was performed at the Jet Propulsion Laboratory-California Institute of Technology under contract to NASA.

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