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Influence of water on the thermoelastic properties of Fe bearing ringwoodite: A first-principles study 水对含铁菱镁矿热弹性特性的影响:第一原理研究
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-02-13 DOI: 10.1016/j.pepi.2024.107156
Rabindranath Mondal, Gaurav Shukla, Swastika Chatterjee

Using first-principles density functional theory (DFT), we model the thermoelastic properties of hydrated ringwoodite (γ-(Fe, Mg)2SiO4), a potential water reservoir in the Earth's mantle transition zone (MTZ). Our calculations indicate that hydration, in general, leads to a reduction in the sound wave velocity of ringwoodite. However, increased pressure tends to suppress this reduction. For our 1.56 wt% H2O containing ringwoodite model, we find that the suppression is so large that at pressure and temperature (P-T) conditions relevant to the lower part of the MTZ the sound wave velocities for the hydrous (1.56 wt% H2O) ringwoodite become very similar to that of the anhydrous ringwoodite. However, when the water concentration is increased to 3.3 wt%, the pressure-induced suppression of the velocity reduction due to hydration is not so significant. We have given a plausible explanation for the same on the basis of the electronic structure of the hydrous ringwoodite models. We conclude that in the lower part of the MTZ, seismic wave data is sufficiently robust to detect regions of very high-water content (∼3.3 wt%). However, if the water concentration is less than 1.56 wt%, sound wave velocities may not be able to precisely detect the state of hydration of the MTZ.

我们利用第一原理密度泛函理论(DFT)模拟了水合菱镁矿(γ-(Fe, Mg)2SiO4)的热弹性特性,菱镁矿是地球地幔过渡带(MTZ)中的一个潜在储水层。我们的计算表明,水化一般会导致环纹石的声波速度降低。然而,压力的增加往往会抑制这种降低。对于我们的含 1.56 wt% H2O 的菱镁矿模型,我们发现这种抑制作用非常大,以至于在与 MTZ 下部相关的压力和温度 (P-T) 条件下,水合(1.56 wt% H2O)菱镁矿的声波速度与无水菱镁矿的声波速度非常相似。然而,当水的浓度增加到 3.3 wt% 时,压力对水合造成的速度降低的抑制作用就不那么明显了。我们根据水合菱镁矿模型的电子结构对此给出了合理的解释。我们的结论是,在 MTZ 的下部,地震波数据足以探测到含水量非常高(3.3 wt%)的区域。然而,如果含水量低于 1.56 wt%,声波速度可能无法精确探测 MTZ 的水化状态。
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引用次数: 0
Complexity of the 2016 M 7.8 Kaikōura, New Zealand, earthquake from seismic observation: Inferences of overpressured fluid involvement 从地震观测看 2016 年新西兰 M 7.8 Kaikōura 地震的复杂性:超压流体参与推断
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-02-09 DOI: 10.1016/j.pepi.2024.107155
Tomomi Okada , Miu Matsuno , Satoshi Matsumoto , Yuta Kawamura , Yoshihisa Iio , Tadashi Sato , Ayaka Tagami , Satoshi Hirahara , Shuutoku Kimura , Stephen Bannister , John Ristau , Martha K. Savage , Clifford H. Thurber , Richard H. Sibson

The M 7.8 Kaikoura earthquake occurred in the northern South Island of New Zealand on 3 Nov., 2016, involving the rupture of >20 faults. To understand the complexity of the Kaikoura earthquake, details of the fault geometry, seismic velocity distribution, and stress field are necessary. We have undertaken seismic tomography along the c. 200 km length of the rupture zone. Data from both 51 temporary stations and 22 permanent (GeoNet) stations were collected from March 2011 to December 2018.

The hypocenter of the Kaikoura earthquake and aftershocks near the Kekerengu fault locate along lineaments where seismic velocity changes laterally in the epicentral region. In the uppermost crust, lower velocities occur beneath the Emu Plain and Cape Campbell. A higher velocity region near Kaikoura may have acted as a barrier that prevented eastward rupture from the hypocenter and led to the complex fault distribution in this area. These complexities in the seismic velocity structure may relate to the multi-segment rupture character of the Kaikoura earthquake. Spatial correlations between rupture areas and high Vp/Vs suggest the involvement of overpressured fluid in the nucleation and propagation of rupture segments, which is also supported by the reactivation of unfavourably oriented strike-slip ruptures, many lying at c.70° to the regional maximum compressive stress trajectories.

2016 年 11 月 3 日,新西兰南岛北部发生了 M 7.8 级凯库拉地震,涉及>20 条断层的断裂。要了解凯库拉地震的复杂性,就必须详细了解断层的几何形状、地震速度分布和应力场。我们沿着约 200 公里长的断裂带进行了地震层析成像。从 2011 年 3 月到 2018 年 12 月,我们收集了 51 个临时台站和 22 个永久(GeoNet)台站的数据。凯库拉地震的震中和凯克伦古断层附近的余震位于震中区地震速度横向变化的线状区域。在地壳最上层,鸸鹋平原和坎贝尔角下方的速度较低。凯库拉附近有一个速度较高的区域,它可能是一个屏障,阻止了从震中向东的断裂,并导致了这一地区复杂的断层分布。地震速度结构的这些复杂性可能与凯库拉地震的多段断裂特征有关。断裂区域与高 Vp/Vs 之间的空间相关性表明,超压流体参与了断裂段的成核和传播,这也得到了不利走向的走向滑动断裂重新激活的支持,其中许多断裂与区域最大压缩应力轨迹成约 70°。
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引用次数: 0
Southeastward extrusion of the Tibetan Plateau limited by the strong Emeishan large igneous province from earthquake surface wave tomography 从地震面波层析成像看青藏高原受峨眉山大火成岩强区限制的东南挤压作用
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-02-08 DOI: 10.1016/j.pepi.2024.107153
Yuanyuan V. Fu , Lun Li , Junwei Ma , Nannan Sun

Active deformation is ongoing in the southeastern margin of the Tibetan Plateau due to the collision of the Indian and Eurasian continents. While large-scale motion of the surface occurs, the nature of deformation at depth remains unresolved. We construct new lithospheric seismic anisotropic (radially and azimuthally) and shear-wave velocity models using fundamental-mode Rayleigh- and Love-wave phase velocity at periods of 20–100 s obtained from the ChinArray experiment to constrain the deformation style of the crust and upper mantle in the southeastern margin of the Tibetan Plateau. The results show that the uppermost mantle (Moho-90 km) underneath the Tibetan Plateau and northwestern part of the western Yangtze block are characterized with NE-SW oriented azimuthal anisotropy, prominent slow velocity and negative radial anisotropy (VSH < VSV). We interpret that this seismic pattern reflects the southeastward extrusion of the Tibetan uppermost mantle that may thermally erode the northwestern edge and result in the vertically coherent fabric due to the barriers of the left strong Emeishan large igneous province (i.e., south of the western Yangtze block) dominated by the high shear wave velocities. Low velocity anomaly, N-S trending azimuthal anisotropy, and negative radial anisotropy in the uppermost mantle beneath the eastern Yangtze block are most probably associated with vertical migration of hot mantle material from the lithosphere delamination and/or a branch of the Hainan plume.

由于印度大陆和欧亚大陆的碰撞,青藏高原东南边缘正在发生活跃的形变。在地表发生大规模运动的同时,深部变形的性质仍未得到解决。我们利用 ChinArray 试验获得的周期为 20-100 秒的基模雷波和爱波相位速度,构建了新的岩石圈地震各向异性(径向和方位)和剪切波速度模型,以约束青藏高原东南缘地壳和上地幔的变形方式。结果表明,青藏高原下和长江西部地块西北部的最上层地幔(Moho-90 km)具有NE-SW向的方位各向异性、突出的慢速度和负径向各向异性(VSH < VSV)。我们解释说,这种地震模式反映了西藏最上地幔向东南挤压,可能对西北边缘造成热侵蚀,从而形成了以高剪切波速度为主的垂直相干构造,这是由左侧强峨眉山大火成岩带(即长江西地块南部)的屏障造成的。长江东部地块下最上层地幔的低速异常、N-S向方位各向异性和负径向各向异性很可能与岩石圈脱层和/或海南羽流分支的热地幔物质垂直迁移有关。
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引用次数: 0
Numerical modelling of the 1996 Chimbote-Peru tsunami earthquake (Mw 7.5) 1996 年 Chimbote-Peru 海啸地震(7.5 级)的数值模拟
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-02-01 DOI: 10.1016/j.pepi.2024.107154
Cesar Jimenez, Yuchen Wang
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引用次数: 0
Constraining Earth's mantle rheology with Love and Shida numbers at the M2 tidal frequency 在 M2 潮汐频率下用洛夫数和志达数制约地球地幔流变学
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-02-01 DOI: 10.1016/j.pepi.2024.107144
Dargilan Oliveira Amorim , Tamara Gudkova

We use measurements of Earth's tidal response at the M2 frequency to constrain the rheology of its mantle. The viscoelasticity and anelasticity of the planet are modeled with an Andrade rheology that depends on two parameters: α and ζ. In this paper, we propose an improved algorithm to compute Earth's tidal deformation. Its Love and Shida numbers k2, h2, k3 and l2 as well as the tidal lag ϵ were calculated for two viscosity profiles and for a wide range of values of α and ζ. By comparing our results with geodetic measurements we obtain the range of values of α and ζ that successfully describes Earth's viscoelastic behavior. Values of ζ as high as 105 can not be excluded. For ζ=1, α should be in the range from 0.19 to 0.33, while for a ζ=105, α is most likely between 0.11 and 0.17. We believe that a similar rheology should be used in geophysical models of other rocky planets and satellites. The obtained results are mostly representative of the lower mantle.

We have also shown that for several combinations of the two parameters α and ζ we could obtain nearly identical values of Earth's k2, h2, l2 and k3 with considerably different values of the associated tidal lag. This shows that the approach of always setting ζ=1 might be too simplistic and an Andrade rheology with two free parameters is needed to constrain both the real and imaginary parts of Love and Shida numbers.

我们利用在 M2 频率下对地球潮汐响应的测量来约束其地幔的流变学。地球的粘弹性和无弹性是用安德拉德流变学建模的,它取决于两个参数:α 和 ζ。本文提出了一种计算地球潮汐变形的改进算法。针对两种粘度剖面以及α和ζ的广泛取值范围,计算了地球潮汐变形的洛夫数和志达数k2、h2、k3和l2以及潮汐滞后ϵ。通过将我们的结果与大地测量结果进行比较,我们得出了能够成功描述地球粘弹性行为的 α 和 ζ 值范围。不排除ζ值高达 105 的可能。ζ=1时,α应在0.19到0.33之间,而ζ=105时,α很可能在0.11到0.17之间。我们认为,其他岩质行星和卫星的地球物理模型也应采用类似的流变学。我们还证明,对于两个参数α和ζ的几种组合,我们可以得到几乎相同的地球ℜk2、ℜh2、ℜl2和ℜk3值,而相关的潮汐滞后值却大不相同。这表明,总是设置 ζ=1 的方法可能过于简单,需要使用带有两个自由参数的安德拉德流变学来约束洛夫数和志达数的实部和虚部。
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引用次数: 0
Influence of water on the thermoelastic properties of Fe bearing ringwoodite: A first-principles study 水对含铁菱镁矿热弹性特性的影响:第一原理研究
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-02-01 DOI: 10.1016/j.pepi.2024.107156
Rabindranath Mondal, Gaurav Shukla, Swastika Chatterjee
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引用次数: 0
Reversal of drift direction during the Laschamp geomagnetic excursion 拉尚地磁偏移期间漂移方向的逆转
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-02-01 DOI: 10.1016/j.pepi.2024.107143
Nicole Clizzie, Catherine Constable

Earth's magnetic field changes in both space and time: the temporal changes are called geomagnetic and paleomagnetic secular variations. Westward drift has been noted as a feature of secular variation for several centuries, but eastward drift has received less attention. We use three global geomagnetic field models covering the past 100 kyr to extend temporal coverage for tracking the zonal (azimuthal) motion of the radial magnetic field. The models we use are GGF100k (100–0 ka), GGFSS70 (70–15 ka), LSMOD.2 (50–30 ka); the extent of the models enables the inclusion of the extreme secular variations found during excursions, particularly the Laschamp excursion (42–40 ka). GGFSS70 and LSMOD.2 have higher temporal resolution than GGF100k, but their underlying data have poorer spatial coverage. Spatial structure is greatly diminished in all models for spherical harmonic degrees l>4.

We use two types of time-longitude plots, one of the full radial field to expose reverse and intense flux patches at the core-mantle boundary. The second time-longitude plot is processed to enhance zonal motion signatures and allows us to use Radon drift analyses to uncover characteristic time scales of both westward and eastward drift at mid to high latitudes in both the northern and southern hemispheres. Our results differ across the three models, which we attribute to varying degrees of resolution, accuracy, and data distribution. Nevertheless, recurrent episodes of both eastward and westward drift ranging from ±0.05o/yr to ±0.18o/yr occur in both the northern and southern hemispheres. Westward drift dominates. We also observe 8–20 kyr intervals between occurrences of high-latitude reverse flux patches correlated with strong drift signals. Focusing on the period 50–30 ka, we observe dominant eastward drift preceding the Laschamp excursion and westward drift subsequently. In a period not associated with an excursion, 90–80 ka, we see strong mid to high latitude drift signatures in the northern hemisphere.

地球磁场在空间和时间上都会发生变化:时间上的变化被称为地磁和古地磁世变。西向漂移作为时变的一个特征已被注意了几个世纪,但东向漂移却较少受到关注。我们使用了三个覆盖过去 100 kyr 的全球地磁场模型,以扩大时间覆盖范围,跟踪径向磁场的带状(方位角)运动。我们使用的模型是:GGF100k(100-0 ka)、GGFSS70(70-15 ka)、LSMOD.2(50-30 ka);这些模型的范围使得在偏移,特别是拉尚偏移(42-40 ka)期间发现的极端时序变化也包括在内。GGFSS70 和 LSMOD.2 的时间分辨率高于 GGF100k,但其基础数据的空间覆盖范围较小。我们使用了两种时间-纬度图,一种是全径向场图,以揭示地核-地幔边界的反向强通量斑块。第二种时间纬度图经过处理,增强了地带运动特征,使我们能够利用拉顿漂移分析,揭示南北半球中高纬度地区西向和东向漂移的特征时间尺度。三个模式的结果各不相同,我们将其归因于不同程度的分辨率、精度和数据分布。尽管如此,南北半球还是反复出现了±0.05o/年到±0.18o/年的东漂和西漂现象。西向漂移占主导地位。我们还观察到高纬度反向通量斑块的出现与强烈漂移信号相关的8-20 kyr间隔。在 50-30 ka 期间,我们观察到在拉斯汉普偏移之前主要是向东漂移,之后则是向西漂移。在与偏移无关的 90-80 ka 期间,我们在北半球看到了强烈的中高纬度漂移信号。
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引用次数: 0
Changes in thermomagnetic and X-ray diffraction properties of Asby dolerite with distance from the Lockne impact structure, Sweden 阿斯比辉绿岩的热磁和 X 射线衍射特性随与瑞典洛克内撞击结构的距离变化而变化
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-01-30 DOI: 10.1016/j.pepi.2024.107145
Pradyut Phukon , Amar Agarwal , Bruno Daniel Leite Mendes , Agnes Kontny , Gaurav Joshi

The Lockne impact structure in Sweden formed due to a meteorite impact into the Proterozoic basement rocks in the Ordovician. The dykes of Asby dolerite are part of the target basement and are located outside the crater rim. We investigated the variation in thermomagnetic properties and X-ray diffraction (XRD) spectra of Asby dolerite with distance from the crater centre to find evidence of a potential low shock overprint. Ti-poor, (Ti)-magnetite with dominantly pseudo-single domain behaviour is the main magnetic carrier in the studied samples. Towards the centre of the crater, the Verwey transition temperature (Tv) and Curie temperature (Tc) decrease, whereas alteration indices increase systematically. Higher alteration indices and lower Tv near the crater centre may be owed to more intense fracturing of the silicate minerals which facilitated low-temperature oxidation of (Ti)-magnetite and alteration of mafic dykes by improving fluid circulation in a network of fractures in the silicate minerals. Higher deformation near the crater centre is supported by our XRD results, as the peak position (2θ value) of plagioclase (040), pyroxene (3¯11) and magnetite (311) peaks decrease, while the width of the plagioclase (040) and pyroxene (3¯11) peaks increase towards the centre. This study shows that changes in thermomagnetic properties and lattice parameters of magnetite are a powerful tool to characterise low shock pressure deformation in impacted target rocks.

瑞典的洛克内撞击结构是由于奥陶纪陨石撞击新生代基底岩石而形成的。阿斯比辉绿岩堤坝是目标基底的一部分,位于陨石坑边缘之外。我们研究了阿斯比辉绿岩的热磁性能和 X 射线衍射(XRD)光谱随与陨石坑中心的距离变化而变化的情况,以寻找潜在低冲击叠印的证据。所研究样品中的主要磁性载体是贫钛(Ti)磁铁矿,主要表现为伪单畴。在陨石坑中心,维氏转变温度(Tv)和居里温度(Tc)降低,而蚀变指数则系统地增加。陨石坑中心附近的蚀变指数较高,Tv较低,这可能是由于硅酸盐矿物的断裂更为剧烈,通过改善硅酸盐矿物断裂网络中的流体循环,促进了(钛)磁铁矿的低温氧化和岩浆岩堤的蚀变。陨石坑中心附近较高的形变得到了 XRD 结果的支持,因为斜长石(040)、辉石(3¯11)和磁铁矿(311)峰的峰值位置(2θ 值)减小,而斜长石(040)和辉石(3¯11)峰的宽度向中心增大。这项研究表明,磁铁矿的热磁性能和晶格参数的变化是描述冲击靶岩低冲击压力变形特征的有力工具。
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引用次数: 0
Dislocations in naturally deformed olivine: Example of a mylonitic peridotite 自然变形橄榄岩中的位错:以麦饭石橄榄岩为例
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-01-01 DOI: 10.1016/j.pepi.2023.107125
Sylvie Demouchy , Alexandre Mussi , Timmo Weidner , Emmanuel Gardés , Patrick Cordier

We have investigated the microstructure of naturally deformed olivine (chemically equilibrated at 1000 °C) by conventional transmission electron microscopy and electron tomography. The peridotite specimen, from Oman ophiolite, has a mylonitic microstructure with remnant, strongly deformed, millimetric porphyroclasts co-existing with small newly formed olivine grains generated by dynamic recrystallization. Imaging by transmission electron microscopy reveals that both newly formed grains and porphyroclasts display [100] and [001] dislocations activity. Subgrain boundaries are composed of either [100] or [001] dislocations. The characterization of this natural sample also permits to identify sporadic [100] dislocation loops, rare [010] dislocation, infrequent melt, and intragranular bubbles or along subgrain boundaries. Electron tomography permits to identify several glide planes, which are similar to previous observations acquired on experimentally deformed polycrystalline olivine, more importantly electron tomography also permits to evidence combination of glide, climb and mixed climb (dislocation moving in an intermediate plane between the plane of glide plane and the plane of pure climb). Our study further infers the diversity of linear defects responsible for plastic deformation of olivine at lithospheric conditions.

我们采用传统的透射电子显微镜和电子断层扫描技术研究了天然变形橄榄岩(在 1000 ℃ 下化学平衡)的微观结构。来自阿曼蛇绿岩的橄榄岩标本具有麦饭石显微结构,残余的、强烈变形的毫米级斑块与动态再结晶产生的新形成的小橄榄石晶粒共存。透射电子显微镜成像显示,新形成的晶粒和斑岩都有[100]和[001]位错活动。亚晶粒边界由[100]或[001]位错组成。该天然样本的特征还允许识别零星的[100]位错环、罕见的[010]位错、不常见的熔体以及粒内气泡阵列或沿亚晶粒边界的气泡阵列。电子断层扫描可识别多个滑行面,这与之前在实验变形多晶橄榄石上获得的观察结果相似,更重要的是,电子断层扫描还可证明滑行、爬升和混合爬升的组合(位错在滑行面和纯粹爬升面之间的中间平面移动)。我们的研究进一步推断了在岩石圈条件下橄榄石塑性变形的线性缺陷的多样性。
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引用次数: 0
Robust estimates of the ratio between S- and P-wave velocity anomalies in the Earth's mantle using normal modes 利用正常模式对地幔中 S 波和 P 波速度异常之间比率的稳健估算
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2023-12-28 DOI: 10.1016/j.pepi.2023.107135
Federica Restelli , Christophe Zaroli , Paula Koelemeijer

Seismic tomography allows us to image the interior of the Earth. In general, to determine the nature of seismic anomalies, constraints on more than one seismic parameter are required. For example, the ratio R between perturbations in vs and vp (dlnvs and dlnvp, respectively) is studied extensively in the lowermost mantle and interpreted in terms of thermal and/or chemical anomalies. However, to jointly interpret tomographic models of variations in vs and vp or their ratio R, it is essential for them to share the same local resolution. Most existing models do not provide resolution information, and thus cannot guarantee to honour this condition. In addition, uncertainties are typically not provided, making it difficult to robustly interpret the ratio R=dlnvs/dlnvp. To overcome these issues, we utilise the recently developed SOLA tomographic method, a variant of the linear Backus–Gilbert inversion scheme. SOLA retrieves local-average model estimates, together with information on their uncertainties, whilst it also provides direct control on model resolution through target kernels. In this contribution, we apply SOLA to normal-mode data with sensitivity to both vs and vp, as well as density throughout the mantle. Specifically, we aim to develop models of both vs and vp with the same local resolution. We test our methodology and approach using synthetic tests for various noise cases (random noise, data noise or also additional 3D Earth noise due to variations in other physical parameters than the one of interest). We find that the addition of the 3D noise increases the uncertainties in our model estimates significantly, only allowing us to find model estimates in six or four layers for vs and vp, respectively. While the synthetic tests indicate that no satisfactory density models can be obtained, we easily manage to construct models of dlnvs and dlnvp with almost identical resolution, from which the ratio

通过地震层析成像技术,我们可以对地球内部进行成像。一般来说,要确定地震异常的性质,需要对一个以上的地震参数进行约束。例如,在最下地幔中,vs 和 vp 的扰动(分别为 dlnvs 和 dlnvp)之间的比率 R 被广泛研究,并被解释为热异常和/或化学异常。然而,要联合解释 vs 和 vp 的变化或它们的比值 R 的层析模型,它们必须具有相同的局部分辨率。现有的大多数模型都不提供分辨率信息,因此无法保证满足这一条件。此外,模型通常不提供不确定性信息,因此很难可靠地解释 R=dlnvs/dlnvp 的比率。为了克服这些问题,我们采用了最近开发的 SOLA 层析方法,这是线性 Backus-Gilbert 反演方案的一种变体。SOLA 可检索局部平均模型估计值及其不确定性信息,还可通过目标核直接控制模型分辨率。在本文中,我们将 SOLA 应用于对 vs 和 vp 以及整个地幔密度都很敏感的正常模式数据。具体来说,我们的目标是建立具有相同局部分辨率的 vs 和 vp 模型。我们使用各种噪声情况(随机噪声、数据噪声或因其他物理参数变化而产生的额外三维地球噪声)的合成测试来检验我们的方法和手段。我们发现,三维噪声的加入大大增加了模型估计的不确定性,使我们只能分别在六层或四层找到 vs 和 vp 的模型估计值。虽然合成测试表明无法获得令人满意的密度模型,但我们还是很容易地构建出了分辨率几乎相同的 dlnvs 和 dlnvp 模型,并从中稳健地推断出了比率 R。在我们的合成实验中得到的 R 值在很大程度上取决于所考虑的噪声情况和计算方法,加入三维噪声总是会导致 R 值的高估。当把我们的方法应用于实际数据时,我们在地幔最低 600 公里处得到的 R 值范围在 2.5-4.0 之间,这与以前的研究是一致的。我们的模型估计值以及相关的解析核和不确定性可用于检验地球动力学模型的预测,从而进一步了解地幔的温度和组成。
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引用次数: 0
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Physics of the Earth and Planetary Interiors
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