Fluid dynamics of planetary ices

TL;DR

This paper reviews the fluid dynamics of planetary ices, discussing flow mechanisms, rheology, and specific examples like Mars polar caps and Europa's icy crust, highlighting the complex thermo-mechanical behavior of ice in different planetary environments.

Contribution

It provides a comprehensive overview of ice flow models in planetary settings, incorporating rheology, thermodynamics, and case studies of Mars and Europa.

Findings

Mars polar caps have slow flow velocities (~0.1-1 mm/a).

Europa's ice crust may have a convective lower layer with ~100 mm/a flow velocity.

High-pressure phases of water ice are poorly understood in fluid dynamics.

Abstract

The role of water ice in the solar system is reviewed from a fluid-dynamical point of view. On Earth and Mars, water ice forms ice sheets, ice caps and glaciers at the surface, which show glacial flow under their own weight. By contrast, water ice is a major constituent of the bulk volume of the icy satellites in the outer solar system, and ice flow can occur as thermal convection. The rheology of polycrystalline aggregates of ordinary, hexagonal ice Ih is described by a power law, different forms of which are discussed. The temperature dependence of the ice viscosity follows an Arrhenius law. Therefore, the flow of ice in a planetary environment constitutes a thermo-mechanically coupled problem; its model equations are obtained by inserting the flow law and the thermodynamic material equations in the balance laws of mass, momentum and energy. As an example of gravity-driven flow, the polar caps of Mars are discussed. For the north-polar cap, large-scale flow velocities of the order of 0.1...1 mm/a are likely, locally enhanced by a factor ten or more in the vicinity of surface scarps/troughs. By contrast, the colder south-polar cap is expected to be almost stagnant. Tidally heated convection is discussed for the example of the icy crust of Europa, where a two-dimensional model predicts the formation of an upper, conductive lid and a lower, convective layer with flow velocities of the order of 100 mm/a. Very little is known about the fluid-dynamical relevance of high-pressure phases of water ice as well as ices made up of other materials.