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DOI	10.1016/j.epsl.2021.116983
	Scaling laws for the geometry of an impact-induced magma ocean
	Nakajima M.; Golabek G.J.; Wünnemann K.; Rubie D.C.; Burger C.; Melosh H.J.; Jacobson S.A.; Manske L.; Hull S.D.
发表日期	2021
ISSN	0012821X
卷号	568
英文摘要	Growing protoplanets experience a number of impacts during the accretion stage. A large impactor hits the surface of a protoplanet and produces impact-induced melt, where the impactor's iron emulsifies and experiences metal-silicate equilibration with the mantle of the protoplanet while it descends towards the base of the melt. This process repeatedly occurs and determines the chemical compositions of both mantle and core. The partitioning is controlled by parameters such as the equilibration pressure and temperature, which are often assumed to be proportional to the pressure and temperature at the base of the melt. The pressure and temperature depend on both the depth and shape of the impact-induced melt region. A spatially confined melt region, namely a melt pool, can have a larger equilibrium pressure than a radially uniform (global) magma ocean even if their melt volumes are the same. Here, we develop scaling laws for (1) the distribution of impact-induced heat within the mantle and (2) shape of the impact-induced melt based on more than 100 smoothed particle hydrodynamic (SPH) simulations. We use Legendre polynomials to describe these scaling laws and determine their coefficients by linear regression, minimizing the error between our model and SPH simulations. The input parameters are the impact angle θ (0∘,30∘,60∘, and 90∘), total mass MT (1MMars−53MMars, where MMars is the mass of Mars), impact velocity vimp (vesc−2vesc, where vesc is the mutual escape velocity), and impactor-to-total mass ratio γ (0.03−0.5). We find that the equilibrium pressure at the base of a melt pool can be higher (up to ≈80%) than those of radially-uniform global magma ocean models. This could have a significant impact on element partitioning. These melt scaling laws are publicly available on GitHub (https://github.com/mikinakajima/MeltScalingLaw). © 2021 Elsevier B.V.
关键词	giant impact magma ocean melt volume metal-silicate equilibration scaling law
英文关键词	Emulsification; Hydrodynamics; Scaling laws; Silicates; Giant impact; Impact-induced melts; Impactors; Magma ocean; Melt regions; Melt volume; Metal-silicate equilibrations; Pressure and temperature; Protoplanets; Scalings; Oceanography; computer simulation; error analysis; hydrodynamics; impact structure; Mars; metal; numerical model; P-T conditions; planetary evolution; pressure field; silicate
语种	英语
来源期刊	Earth and Planetary Science Letters
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/203235
作者单位	Department of Earth and Environmental Sciences, University of Rochester, 227 Hutchison Hall, Rochester, NY 14627, United States; Department of Terrestrial Magnetism, Carnegie Institution for Science, 5241 Broad Branch Rd NW, Washington, DC, 20015, United States; Bayerisches Geoinstitut, University of Bayreuth, Universitätsstrasse 30, Bayreuth, 95440, Germany; Museum für Naturkunde, Leibniz-Institut für Evolutions- und Biodiversitätsforschung, Invalidenstrasse 43, Berlin, 10115, Germany; Institute of Astronomy and Astrophysics, University of Tübingen, Auf der Morgenstelle 10, Tübingen, 72076, Germany; Department of Earth, Atmospheric and Planetary Sciences, Purdue University, 550 Stadium Mall Drive, West Lafayette, IN 47907, United States; Department of Earth and Environmental Sciences, Michigan State University, 288 Farm Lane, East Lansing, MI 48823, United States
推荐引用方式 GB/T 7714	Nakajima M.,Golabek G.J.,Wünnemann K.,et al. Scaling laws for the geometry of an impact-induced magma ocean[J],2021,568.
APA	Nakajima M..,Golabek G.J..,Wünnemann K..,Rubie D.C..,Burger C..,...&Hull S.D..(2021).Scaling laws for the geometry of an impact-induced magma ocean.Earth and Planetary Science Letters,568.
MLA	Nakajima M.,et al."Scaling laws for the geometry of an impact-induced magma ocean".Earth and Planetary Science Letters 568(2021).