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Terrestrial accretion rates and the origin of the Moon

机译:地球的增生率和月球的起源

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摘要

The former decay of ~(182)Hf to ~(182)W (T_(1/2) = 9 Myr) has resulted in variations in W isotope composition that reflect early solar system time-integrated Hf/W ratios. The bulk silicate Earth (BSE) has non-chondritic Hf/W because of core formation, yet has a chondritic W isotopic composition. This is inconsistent with models that involve the completion of terrestrial accretion and core formation within the first 10 Myr of solar system history, such as early heterogeneous accretion of silicate and metal from a fractionated partially condensed nebula. Protracted accretion of material that has, on average, chondritic compositions with respect to Hf-W is more in accord with the chondritic W isotopic composition of the BSE. Most early-formed low Hf/W metal and high Hf/W silicate that was added to the Earth during accretion must have largely equilibrated isotopically with the growing BSE, otherwise its W isotopic composition would not be chondritic. Within this framework, both the W and Pb isotope data for the Earth can be modeled with homogeneous accretion and continuous core formation at exponentially decreasing rates. The accretionary mean life would need to be between 25 and 40 Myr assuming the Hf/W ratio of the BSE is ~15 and ~(238)U/~(204)Pb of the total Earth is ~0.7. Such models do not emulate late stage major impacts such as probably formed the Moon. There is now considerable evidence that the Moon formed no earlier than ~50 Myr after the start of the solar system. A collision at or before 50 Myr between a near Earth-sized proto-Earth and a Mars-sized impactor, here named Theia, would not yield chondritic W for the present day BSE, unless there was also significant subsequent accretion. The recent suggestion that the proto-Earth to Theia mass ratio was more like 7:3 and that the proto-Earth was <65% formed before the collision is easily reconciled with W isotope data. The Pb isotope data for the average BSE can be modeled with the same accretion parameters provided that the proto-Earth was >50% formed by the time of the impact, Theia adding at least a further 20% of the Earth's mass. Less than 25% of additional material would be accreted after the collision. If the proposed ~(238)U/~(204)Pb of 0.7 for the total Earth is grossly incorrect or if smoothly decreasing rates of accretion before and after the impact are inadequate approximations, these figures would need to be changed. Isotopic equilibration with the W in the silicate portion of the Earth is harder to envisage for a very large impactor with a distinct metal core that immediately coalesces with the Earth's core, as in Giant Impact simulations. However, the silicate portion of the Earth would not need to isotopically equilibrate with the total mass of Theia during the Moon-forming collision if Theia, like the proto-Earth, had been accreting relatively slowly. The chondritic initial W isotopic composition of the Moon provides supporting evidence that Theia grew slowly. A possible explanation for this slow growth of Theia and the proto-Earth is that they grew in close proximity, competing for, and perturbing the trajectories of accreting material. Close proximity would also increase the probability of a collision between the proto-Earth and Theia and explain why the Earth and Moon share the same O and Cr isotopic compositions.
机译:从〜(182)Hf到〜(182)W的先前衰减(T_(1/2)= 9 Myr)导致W同位素组成的变化,反映了早期太阳系时间积分的Hf / W比。整体硅酸盐地球(BSE)由于形成核而具有非软骨形Hf / W,但具有软骨形W同位素组成。这与涉及在太阳系历史的前10 Myr内完成陆生增生和岩心形成的模型不一致,例如从部分凝结的星云中硅酸盐和金属的早期异质增生。相对于Hf-W,平均具有软骨成分的材料的持久积聚更符合BSE的软骨W同位素组成。在吸积过程中添加到地球上的大多数早期形成的低Hf / W金属和高Hf / W硅酸盐必须与不断增长的BSE在很大程度上达到同位素平衡,否则其W同位素组成将不会呈软骨状。在此框架内,地球的W和Pb同位素数据都可以以均一的吸积和连续的岩心形成以指数递减的速率进行建模。假设BSE的Hf / W比为〜15,且地球的〜(238)U /〜(204)Pb为〜0.7,则平均增生寿命将需要在25至40 Myr之间。这样的模型不能模拟后期的重大影响,例如可能形成的月球。现在有大量证据表明,在太阳系开始之后,月球的形成不早于〜50 Myr。在接近地球大小的原始地球和火星大小的撞击器(此处称为Theia)之间,在50 Myr或之前发生的碰撞,在今天的疯牛病中不会产生软骨状W,除非随后还会大量积聚。最近的建议是,原始地球与泰亚的质量比更像是7:3,并且在碰撞与W同位素数据很容易核对之前,原始地球的形成率<65%。如果原始地球在撞击时形成的地球> 50%,则Theia至少增加了地球质量的20%,因此可以使用相同的吸积参数来模拟平均BSE的Pb同位素数据。碰撞后会吸收不到25%的其他材料。如果提议的整个地球的〜(238)U /〜(204)Pb为0.7严重不正确,或者如果撞击前后平稳的吸积率下降幅度不够近似,则需要更改这些数字。与巨型撞击模拟中一样,对于具有独特金属核并立即与地球核融合的非常大的撞击器,很难想象在地球的硅酸盐部分中W与同位素的平衡。但是,如果Theia像原始地球一样相对缓慢地生长,那么在形成月球的碰撞中地球的硅酸盐部分就不需要与Theia的总同位素同位素平衡。月亮的软骨状W初始同位素组成提供了Theia生长缓慢的佐证。 Theia和原始地球生长缓慢的一个可能原因是它们生长紧密,竞争并扰乱了吸积物质的轨迹。紧密接近还会增加原始地球与狄娅碰撞的可能性,并解释了为什么地球和月亮共享相同的O和Cr同位素组成。

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