Abstract
In this chapter, we present a variational (VAR) method for assimilation of data related to models of thermal convective flow. This approach is based on a search for model parameters (e.g., mantle temperature and flow velocity in the past) by minimizing the differences between present-day observations of the relevant physical parameters (e.g., temperature derived from seismic tomography, geodetic measurements) and those predicted by forward models for an initial guess temperature. To demonstrate the applicability of this method, we present a numerical model of the evolution of mantle plumes and show that the initial shape of the plumes can be accurately reconstructed. Finally we discuss some challenges in the VAR data assimilation including a smoothness of data.
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Ismail-Zadeh, A., Korotkii, A., Tsepelev, I. (2016). Variational Method and Its Application to Modelling of Mantle Plume Evolution. In: Data-Driven Numerical Modelling in Geodynamics: Methods and Applications. SpringerBriefs in Earth Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-27801-8_3
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