Quantitative estimates of impact induced crustal erosion during accretion and its influence on the Sm/Nd ratio of the Earth

Abstract

Dynamical scenarios of terrestrial planets formation involve strong perturbations of the inner part of the solar system by the giant-planets, leading to enhanced impact velocities and subsequent collisional erosion. We quantitatively estimate the effect of collisional erosion on the resulting composition of Earth, and estimate how it may provide information on the dynamical context of its formation. We simulate and quantify the erosion of Earth's crust in the context of Solar System formation scenarios, including the classical model and Grand Tack scenario that invokes orbital migration of Jupiter during the gaseous disk phase (Walsh et al., 2011; Raymond et al., 2018). We find that collisional erosion of the early crust is unlikely to produce an excess of about 6% of the Sm/Nd ratio in terrestrial rock samples compared to chondrites for most simulations. Only Grand Tack simulations in which the last giant impact on Earth occurred later than 50 million years after the start of Solar System formation can account for such an offset. However, this time frame is consistent with current cosmochemical and dynamical estimates of the Moon forming impact (Chyba, 1991; Walker, 2009; Touboul et al.,2007, 2009, 2015; Pepin and Porcelli, 2006; Norman et al., 2003; Nyquist et al., 2006; Boyet et al.,2015). Such a late fractionation in the Sm/Nd ratio is unlikely to be responsible for a 20-ppm ${}^{142}$Nd excess in terrestrial rocks due to the half life of the radiogenic system. Additionally, such a large and late fractionation in the Sm/Nd ratio would accordingly induce non-observed anomalies in the ${}^{143}$Nd/${}^{144}$Nd ratio. Considering our results, the Grand Tack model with a late Moon-forming impact cannot be easily reconciled with the Nd isotopic Earth contents.

22 pages, 3 figures, supplementary, to be published

References in corpus (9)

• The timeline of the Lunar bombardment - revisited
• Highly Siderophile Elements in the Earth's Mantle as a Clock for the Moon-forming Impact
• Melting and Mixing States of the Earth's Mantle after the Moon-Forming Impact
• Lunar and Terrestrial Planet Formation in the Grand Tack Scenario
• Collisional Stripping and Disruption of Super-Earths
• A Collisional Origin to Earth's Non-chondritic Composition?
• The Grand Tack model: a critical review
• Collisional stripping of planetary crusts
• Numerically Predicted Indirect Signatures of Terrestrial Planet Formation

Cited by in corpus (2)

• The Exosphere as a Boundary: Origin and Evolution of Airless Bodies in the Inner Solar System and Beyond Including Planets with Silicate Atmospheres
• The effect of collisional erosion on the composition of Earth-analog planets in Grand Tack models: Implications for the formation of the Earth