Internal water storage capacity of terrestrial planets and the effect of hydration on the M-R relation

TL;DR

This study models the internal water storage capacity of terrestrial planets, highlighting how hydration influences their mass-radius relation and emphasizing the importance of including hydration effects in future exoplanet characterization as measurement precision improves.

Contribution

The paper introduces numerical tools for modeling hydrated planetary interiors, incorporating hydration effects into mass-radius relations, which were previously neglected in astrophysical models.

Findings

Hydrated planets can store up to 6 wt% H2O, forming deep ocean layers.

Hydration effects can alter planetary radius by up to 2.5%.

Results are highly sensitive to bulk planetary composition.

Abstract

Understanding the chemical interactions between water and Mg-silicates or iron is essential to constrain the interiors of water-rich planets. Hydration effects have, however, been mostly neglected by the astrophysics community so far. As such effects are unlikely to have major impacts on theoretical mass-radius relations this is justified as long as the measurement uncertainties are large. However, upcoming missions, such as the PLATO mission (scheduled launch 2026), are envisaged to reach a precision of up to $\approx 3 \%$ and $\approx 10 \%$ for radii and masses, respectively. As a result, we may soon enter an area in exoplanetary research where various physical and chemical effects such as hydration can no longer be ignored. Our goal is to construct interior models for planets that include reliable prescriptions for hydration of the cores and the mantles. These models can be used to refine previous results for which hydration has been neglected and to guide future characterization of observed exoplanets. We have developed numerical tools to solve for the structure of multi-layered planets with variable boundary conditions and compositions. Here we consider three types of planets: dry interiors, hydrated interiors and dry interiors + surface ocean where the ocean mass fraction corresponds to the mass fraction of $\rm H_2 O$ equivalent in the hydrated case. We find H/OH storage capacities in the hydrated planets equivalent to $0-6 \rm \ wt\% \ \rm H_{2}O$ corresponding to up to $\approx 800 \rm \ km$ deep ocean layers. In the mass range $0.1 \leq M/M_\oplus \leq 3$ the effect of hydration on the total radius is found to be $\leq 2.5\%$ whereas the effect of differentiation into an isolated surface ocean is $\leq 5 \ \%$. Furthermore, we find that our results are very sensitive to the bulk composition.