“…In the initial condition, we assume that the deep mantle is more enriched in HPEs and the IBC components than the shallower mantle as earlier models of mantle differentiation by the magma ocean and subsequent mantle overturn suggest (e.g., Hess & Parmentier, 1995;Moriarty III et al, 2021;Ringwood & Kesson, 1976). Several previous studies, however, suggest that a portion of the IBC materials enriched in HPEs persist just beneath the crust even after mantle overturn (e.g., Schwinger & Breuer, 2022;Yu et al, 2019;Zhao et al, 2019). Instead of explicitly simulating these remains of HPE-enriched materials, we assume that the crust is uniformly enriched in HPEs.…”