A first step to compare geodynamical models and seismic observations of the inner core

Seismic observations have revealed a complex inner core, with lateral and radial heterogeneities at all observable scales. The dominant feature is the east-west hemispherical dichotomy in seismic velocity and attenuation. Several geodynamical models have been proposed to explain the observed structure: convective instabilities, external forces, crystallisation processes or influence of outer core convection. However, interpreting such geodynamical models in terms of the seismic observations is difficult, and has been performed only for very specific models (Geballe 2013, Lincot 2014, 2016). Here, we propose a common framework to make such comparisons. We have developed a Python code that propagates seismic ray paths through kinematic geodynamical models for the inner core, computing a synthetic seismic data set that can be compared to seismic observations. Following the method of Geballe 2013, we start with the simple model of translation. For this, the seismic velocity is proposed to be function of the age or initial growth rate of the material (since there is no deformation included in our models); the assumption is reasonable when considering translation, growth and super rotation of the inner core. Using both artificial (random) seismic ray data sets and a real inner core data set (from Waszek et al. 2011), we compare these different models. Our goal is to determine the model which best matches the seismic observations. Preliminary results show that super rotation successfully creates an eastward shift in properties with depth, as has been observed seismically. Neither the growth rate of inner core material nor the relationship between crystal size and seismic velocity are well constrained. Consequently our method does not directly compute the seismic travel times. Instead, here we use age, growth rate and other parameters as proxies for the seismic properties, which represent a good first step to compare geodynamical and seismic observations.Ultimately we aim to release our codes to broader scientific community, allowing researchers from all disciplines to test their models of inner core growth against seismic observations or create a kinematic model for the evolution of the inner core which matches new geophysical observations.