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Effects of Fe-Ca-Mg substitutions on the equation-of-state of pyrope-rich garnet from ab initio modeling and experiments: Insights and implications for the upper mantle 从ab initio建模和实验看Fe-Ca-Mg置换对富火成岩石榴石状态方程的影响:对上地幔的启示和影响
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-03-18 DOI: 10.1016/j.pepi.2024.107171
Maribel Núñez-Valdez , Niccolò Satta , Sergio Speziale

We report systematic first-principles results of structural properties and compression behavior based on density functional theory (DFT) and an exchange-correlation functional for solids, of Al-bearing garnets of general compositions in the pyrope-almandine-grossular solid solution system. The combination of DFT and a simple solid solution model is able to produce a compositional dependence of the compression curve consistent with trends observed in experimental studies. Using end-member properties extrapolated from our computations and perturbing an extant thermodynamic model we observe only marginal effects on the bulk sound velocity of pyrolite and MORB along relevant geothermal paths. However, this could hide important effects on the elemental partitioning between garnet and other major phases which should be further investigated both experimentally and computationally. We also present simulations of the effect of combined Fe and Ca substitutions for Mg on the elastic tensor of Al-bearing garnets, our simplified modeling shows only partial agreement with the trends observed in experiments. Therefore, further computational investigations, especially of the effect of Fe-Mg substitution on the tensor, are needed.

我们报告了基于密度泛函理论(DFT)和固体交换相关函数的结构特性和压缩行为的系统性第一原理结果,这些结果是对火烧榴石-金刚砂-毛玻璃固溶体系统中一般成分的含铝石榴石的研究。结合 DFT 和简单的固溶体模型,可以得出压缩曲线的成分依赖性与实验研究中观察到的趋势一致。利用从我们的计算中推断出的末端成分特性,并对现有的热力学模型进行扰动,我们观察到在相关地热路径上对辉绿岩和莫来石的体声速只有微不足道的影响。然而,这可能隐藏着对石榴石和其他主要相之间元素分配的重要影响,我们应该对这些影响进行进一步的实验和计算研究。我们还模拟了铁和钙联合取代镁对含铝石榴石弹性张量的影响,我们的简化模型与实验中观察到的趋势只显示出部分一致。因此,还需要进一步的计算研究,尤其是铁镁替代对张量的影响。
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引用次数: 0
Tectonic development in Singhbhum Craton, NE India decrypted from dyke swarms: A window to understand magma dynamics in Archean-Proterozoic supercontinents 从堤坝群解密印度东北部辛格布姆克拉通的构造发展:了解 Archean - Proterozoic 超大陆岩浆动力学的窗口
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-03-13 DOI: 10.1016/j.pepi.2024.107169
Arun K. Ojha , D.P. Monika Saini , Amar Agarwal , Ambrish K. Pandey

Singhbhum Craton (SC) hosted eight different dyke swarm events, which are collectively known as the Newer Dolerite Dykes. These have been correlated with different cratons and supercontinents based on age, geochemistry, and paleomagnetic data. However, our understanding of stress conditions during and after the dyke intrusions and the magma chamber dynamics is limited due to lack of information. In this study, we have investigated magma dynamics and crustal extension for different dyke swarm events in the SC to explore the magma chamber dynamics during the supercontinent breakup and at other cratons around the globe. Further, we have also quantified post-intrusion response to the far-field stress in different dyke swarms of the SC. For a comprehensive understanding of the magma dynamics and deformation history of the dyke swarms, we investigated dykes associated structures and estimated the magma pressure relative to the principal stresses. We used dyke wall attitude data to explore the paleostress conditions during the dyke intrusion, fault-slip data for post-emplacement deformation, and field structures with dyke thickness data to understand magma dynamics and crustal extension.

Paleostress analysis in four dyke swarms indicates relatively higher magma pressure in the Pipilia dyke swarm compared to Ghatgaon, Keonjhar, and Kaptipada dyke swarms. This is further supported by the fact that Pipilia dykes are thicker than the other three dyke swarms. Post-emplacement deformation is evident from the fault-slip observations, tectonic fractures, and veins cross-cutting dykes and host rock. Fault-slip observations suggest an extensional tectonic event followed by a compressive one. The extensional stress regime, active during the intrusion of Pipilia dyke swarm, overprints the Ghatgaon dyke swarm, while the far-field stress from the Singhbhum Shear Zone affects all the analyzed dykes and the host rock. These observations are in agreement with the thinned lithosphere of SC. We estimate that the Ghatgaon swarm caused the maximum average crustal extension/dilation of 9.65%, while the Keonjhar swarm led to the least average extension of 1.58%. We suggest that the Pipila dyke swarm event may have dilated a part of the Columbia supercontinent by ∼8.5% as the dilations for other regions in the supercontinents are not known.

辛格布姆克拉通(Singhbhum Craton,SC)曾发生过八次不同的堤群事件,统称为 "较新的辉绿岩堤群"(Newer Dolerite Dykes)。根据年龄、地球化学和古地磁数据,这些事件与不同的克拉通和超大陆相关联。然而,由于缺乏资料,我们对堤坝侵入期间和之后的应力条件以及岩浆室动态的了解十分有限。在这项研究中,我们研究了南澳大利亚不同堤坝群事件的岩浆动力学和地壳延伸,以探索超大陆解体期间和全球其他陨石坑的岩浆室动力学。此外,我们还量化了南中国海不同堤群对远场应力的侵入后响应。为了全面了解岩浆动力学和堤群的变形历史,我们调查了堤群的相关结构,并估算了岩浆压力与主应力的相对值。我们利用堤壁姿态数据来探索堤坝侵入时的古应力条件,利用断层滑动数据来了解置换后的变形情况,并利用现场结构和堤坝厚度数据来了解岩浆动力学和地壳延伸情况。对四个堤坝群的古应力分析表明,与加特岗、基昂贾尔和卡普蒂帕达堤坝群相比,皮皮利亚堤坝群的岩浆压力相对较高。皮皮利亚堤坝群比其他三个堤坝群更厚的事实也进一步证明了这一点。从断层滑动观测、构造断裂以及横切堤坝和主岩的矿脉中可以明显看出置换后的变形。断层滑动观测结果表明,在发生伸展构造事件之后,又发生了压缩构造事件。在 Pipilia 筑堤群侵入期间活跃的伸展应力体系覆盖了 Ghatgaon 筑堤群,而来自 Singhbhum 剪切区的远场应力影响了所有分析的筑堤和母岩。这些观察结果与 SC 岩石圈变薄的情况一致。我们估计,Ghatgaon岩群造成的最大平均地壳延伸/扩张为9.65%,而Keonjhar岩群造成的最小平均延伸为1.58%。我们认为皮皮拉堤坝群事件可能使哥伦比亚超大陆的一部分扩张了 8.5%,因为超大陆其他地区的扩张情况尚不清楚。
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引用次数: 0
Detailed seismic structure beneath the earthquake zone of Yogyakarta 2006 (Mw ∼6.4), Indonesia, from local earthquake tomography 通过局部地震层析成像分析印度尼西亚日惹 2006 年地震(Mw ~ 6.4)震区下方的详细地震结构
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-03-13 DOI: 10.1016/j.pepi.2024.107170
Virga Librian , Mohamad Ramdhan , Andri Dian Nugraha , Muhammad Maruf Mukti , Syuhada Syuhada , Birger-Gottfried Lühr , Sri Widiyantoro , Adityo Mursitantyo , Ade Anggraini , Zulfakriza Zulfakriza , Faiz Muttaqy , Yayan Mi'rojul Husni

The earthquake, which occurred in Yogyakarta, Indonesia, on May 26, 2006, at 22:53:58 UTC with Mw ∼6.4, was one of the most destructive earthquakes in Indonesia. The earthquake caused thousands of fatalities, tens of thousands of injuries, and hundreds of thousands of house damages in the Yogyakarta area and its surroundings at a loss of billions of dollars. Previous studies from seismic tomography and satellite radar imaging hypothesized that the earthquake was caused by activating a so far unknown fault east of the Opak Fault. Although, in the beginning, the Opak fault was suspected to be the source of the Yogyakarta earthquake in 2006. This assumption was made because the damage was maximum in the Bantul area west of the Opak Fault. This study demonstrates that our seismic tomography achieved a higher resolution than the previous study and could resolve a failed complex fault system. We utilized more aftershocks (2170 events) and smaller grid sizes for seismic tomography inversion. Four focal mechanisms from aftershocks for Mw ≥ 4.5 were also conducted to support structure interpretation in the study area. Our results successfully delineate the Opak Fault and the second fault, namely the Ngalang Fault, parallel to the eastern part of the fault at a depth of 9 km. Two faults could be indicated by the velocity contrast of Vp, Vp/Vs ratio, and Vs from a horizontal section tomogram. Our focal mechanisms also support seismic tomography, revealing two fault planes in our study area. The results show that the two faults are connected by the Oyo Fault, which is ruptured in the opposite direction compared to the two faults.

2006 年 5 月 26 日(世界协调时)22:53:58,印度尼西亚日惹发生地震,震级为 6.4 级,是印度尼西亚破坏性最大的地震之一。地震造成日惹及其周边地区数千人死亡,数万人受伤,数十万间房屋受损,损失数十亿美元。之前的地震断层扫描和卫星雷达成像研究假设,地震是由于激活了奥帕克断层以东一个至今未知的断层引起的。尽管一开始人们怀疑 Opak 断层是 2006 年日惹地震的源头。做出这一假设的原因是,奥帕克断层以西的班图尔地区受到的破坏最大。这项研究表明,我们的地震层析成像技术比之前的研究分辨率更高,可以解决复杂断层系统的破坏问题。我们利用了更多的余震(2170 次)和更小的网格进行地震层析反演。此外,还进行了四次 Mw ≥ 4.5 的余震焦点机制研究,以支持研究区域的结构解释。我们的研究结果成功地划分出 Opak 断层和第二个断层,即 Ngalang 断层,平行于断层东部 9 千米的深度。水平剖面层析成像图中的 Vp、Vp/Vs 比值和 Vs 的速度对比可显示出两条断层。我们的焦点机制也支持地震层析成像,揭示了我们研究区域的两个断层面。结果表明,这两个断层由 Oyo 断层连接,而 Oyo 断层的断裂方向与这两个断层相反。
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引用次数: 0
Influence of planetary rotation on metal-silicate mixing and equilibration in a magma ocean 行星自转对岩浆海洋中金属-硅酸盐混合和平衡的影响
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-03-12 DOI: 10.1016/j.pepi.2024.107168
Quentin Kriaa , Landeau Maylis , Le Bars Michael

At a late stage of its accretion, the Earth experienced high-energy planetary impacts. Following each collision, the metal core of the impactor sank into molten silicate magma oceans. The efficiency of chemical equilibration between these silicates and the metal core controlled the composition of the Earth interior and left a signature on geochemical and isotopic data. These data constrain the timing, pressure and temperature of Earth formation, but their interpretation strongly depends on the efficiency of metal-silicate mixing and equilibration. We investigate the role of planetary rotation on the dynamics of the sinking metal and on its chemical equilibration using laboratory experiments of particle clouds settling in a rotating fluid. Our clouds initially sink as spherical turbulent thermals, but after a critical depth, rotation becomes important and they transition to a vortical columnar flow aligned with the rotation axis. Applied to Earth formation, our results predict that rotation strongly affects the fall of metal in the magma ocean for impactors smaller than 459 km in radius on a proto-Earth that rotates twice faster than today. On a proto-Earth spinning 5 times faster than today, rotation is important for any impactor smaller than the Earth itself. In contrast with a thermal that grows in all directions, the vortical column grows vertically but keeps a constant horizontal extent. The slower dilution in vortical columns reduces chemical equilibration compared to previous estimates that neglect planetary rotation. We find that rotation significantly affects the degree of equilibration for highly siderophile elements with partition coefficients larger than 103. In this case, for a planet spinning twice faster than today, the degree of equilibration decreases by up to a factor 2 compared to previous estimates that neglect the effect of rotation. Finally, the ultimate fate of iron drops is to be detrained from the vortical column as an iron rain, reconciling the traditional iron rain scenario with the model of turbulent thermal.

在地球增生的后期,地球经历了高能行星撞击。每次撞击之后,撞击体的金属内核都会沉入熔融的硅酸盐岩浆海洋。这些硅酸盐和金属内核之间的化学平衡效率控制着地球内部的成分,并在地球化学和同位素数据上留下了痕迹。这些数据限制了地球形成的时间、压力和温度,但它们的解释在很大程度上取决于金属-硅酸盐混合和平衡的效率。我们利用在旋转流体中沉降的粒子云的实验室实验,研究行星旋转对金属下沉动力学及其化学平衡的作用。我们的云最初以球形湍流热流的形式下沉,但在达到临界深度后,旋转变得非常重要,它们过渡到与旋转轴对齐的涡柱流。应用于地球的形成,我们的结果预测,对于半径小于 459 千米的原地球上的撞击器,旋转会强烈影响岩浆海洋中金属的沉降,原地球的旋转速度是现在的两倍。在一个自转速度比现在快 5 倍的原初地球上,自转对任何小于地球本身的撞击器都很重要。与向各个方向增长的热相比,涡柱是垂直增长的,但水平范围保持不变。与之前忽略行星自转的估计相比,涡旋柱中较慢的稀释速度降低了化学平衡。我们发现,对于分配系数大于......的高亲铁元素来说,自转会极大地影响平衡程度。 在这种情况下,对于一颗自转速度比现在快两倍的行星来说,与之前忽略自转影响的估计值相比,平衡程度最多会降低 2 倍。最后,铁滴的最终命运是以铁雨的形式从涡柱中分离出来,从而使传统的铁雨方案与湍流热模型相协调。
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引用次数: 0
Elastic wave velocity measurements of sodium aluminosilicate glass and melt at high pressure and temperature 高压高温下铝硅酸钠玻璃和熔体的弹性波速测量结果
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-03-07 DOI: 10.1016/j.pepi.2024.107167
Naoki Takahashi , Tatsuya Sakamaki , Osamu Ikeda , Sho Kakizawa , Yuji Higo , Akio Suzuki

The combination of ultrasonic technique with synchrotron X-ray diffraction and radiography in a multi-anvil apparatus was utilized to measure the elastic wave velocities of sodium aluminosilicate glass and melt with the partially depolymerized composition of Na3AlSi3O9 (NAS). The measurements were conducted at pressure and temperature of up to 7.3 GPa and at ambient temperature for glass and up to 4.3 GPa and 2120 K for melt, respectively. The compressional wave velocity (VP) of the NAS glass remained mostly constant up to 4 GPa; subsequently, it increased with increasing pressure. Additionally, the NAS glass exhibited a minimum shear wave velocity (VS) at 4–5 GPa. Alternatively, the VP of the NAS melt was smaller than that of the NAS glass, showing a velocity minimum at ∼2 GPa. The negative pressure dependence of VP of the NAS melt is completely different from the depolymerized diopside (Di) melt, which shows a monotonic increase in VP with pressure. The contrasting behavior of the NAS and Di melts is caused by the difference in their structure, characterized by their degree of polymerization. Natural magma found in the interior of the Earth, such as basalt, has a partially depolymerized composition. This study indicates that the magma can exhibit elastic properties with negative pressure dependence, similar to the NAS melt.

在一台多管仪器中,利用超声波技术与同步辐射 X 射线衍射和射线照相术的结合,测量了部分解聚成分为 NaAlSiO(NAS)的钠铝硅酸盐玻璃和熔体的弹性波速。玻璃的测量是在压力和温度分别高达 7.3 GPa 和环境温度下进行的,熔体的测量是在压力和温度分别高达 4.3 GPa 和 2120 K 下进行的。NAS 玻璃的压缩波速度()在 4 GPa 以下基本保持不变,随后随着压力的增加而增加。此外,NAS 玻璃在 4-5 GPa 时表现出最小剪切波速(V)。另外,NAS 熔体的剪切波速度小于 NAS 玻璃,在 ~2 GPa 处显示出速度最小值。NAS 熔体的负压依赖性完全不同于解聚的透辉石(Di)熔体,后者表现出随压力单调增加。NAS 和 Di 熔体的对比行为是由它们的结构差异造成的,其特点是它们的聚合度不同。地球内部的天然岩浆(如玄武岩)具有部分解聚成分。这项研究表明,岩浆可以表现出与负压相关的弹性特性,与 NAS 熔体类似。
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引用次数: 0
Spherical geometry convection in a fluid with an Arrhenius thermal viscosity dependence: The impact of core size and surface temperature on the scaling of stagnant-lid thickness and internal temperature 具有阿伦尼乌斯热粘性的流体中的球形几何对流:核心尺寸和表面温度对停滞盖厚度和内部温度缩放的影响
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-03-01 DOI: 10.1016/j.pepi.2024.107157
Pejvak Javaheri , Julian P. Lowman , Paul J. Tackley

The rock and rock-ice mixtures of the core-enveloping spherical shells comprising terrestrial body interiors have thermally determined viscosities well described by an Arrhenius dependence. Accordingly, the implied viscosity contrasts determined from the activation energies (E) characterizing such bodies can reach values exceeding 1040, for a temperature range that spans the conditions found from the lower mantle to the surface. In this study, we first explore the impact of implementing a cut-off to limit viscosity magnitude in cold regions. Using a spherical annulus geometry, we investigate the influence of core radius, surface temperature, and convective vigour on stagnant lid formation resulting from the extreme thermally induced viscosity contrasts. We demonstrate that the cut-off viscosity must be increased with decreasing curvature factor, f (=rin/rout, where rin and rout are the inner and outer radii of the annulus, respectively), if the solutions are to be not only computationally manageable but physically valid. We find that for statistically-steady systems, the mean temperature decreases with core size, and that a viscosity contrast of at least 107 is required for stagnant lid formation as f decreases below 0.5. Inverting the results from over 80 calculations featuring stagnant lids (from a total of approximately 180 calculations), we apply an energy balance model for heat flow across the thermal boundary layers and find that the non-dimensionalized temperature in the Approximately Isothermal Layer (AIL) in the convecting region under a stagnant lid is well predicted by TAIL=122Tout+γ+γ2+4γ1+Tout where γ is a function of E and f, and Tout is the non-dimensionalized surface temperature. Moreover, the normalized (i.e., non-dimensional) thickness of the stagnant lid, L, can be obtained from a measurement of the non-dimensional surface heat flux once <

岩石和岩冰混合物的内核包裹球壳构成了陆地天体的内部,其热力确定的粘度很好地用阿伦尼乌斯依赖关系来描述。因此,根据活化能(E)确定的此类天体的隐含粘度对比,在从下地幔到地表的温度范围内,其值可超过 、 、 。在这项研究中,我们首先探讨了在寒冷地区实施截止来限制粘度大小的影响。我们使用球形环状几何结构,研究了核心半径、表面温度和对流活力对热引起的极端粘度对比所导致的停滞盖形成的影响。我们证明,如果解决方案不仅在计算上可控,而且在物理上有效,则截止粘度必须随曲率因子(,和分别为环形的内半径和外半径)的减小而增加。我们发现,对于统计上稳定的系统,平均温度会随核尺寸的增大而降低,当温度降低到 0.5 以下时,停滞盖的形成至少需要 0.5 的粘度对比。通过反演 80 多次以停滞盖为特征的计算结果(总共约 180 次计算),我们应用热边界层热流的能量平衡模型,发现停滞盖下对流区域近似等温层(AIL)的非尺寸化温度可以很好地预测,其中是 E 和 , 的函数,是非尺寸化表面温度。此外,停滞层的归一化(即非维度)厚度 , 可以通过测量非维度表面热通量得到。停滞盖的厚度随外壳厚度的减小而增加,从10%到30%不等,在小核心天体中,厚的外壳可以覆盖在对流剧烈的底层之上,从而有可能延迟世俗冷却,这表明具有小核心的小天体可能在太阳系历史的早期就形成了厚的弹性外壳,同时保持了剧烈的内部对流。然而,我们也发现,在我们所研究的少量三维计算中,基于二维计算的参数高估了对流层的温度,以及当对流层较小时(小于0.4)导电盖的厚度。
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引用次数: 0
The onset of anelastic behavior in fine-grained synthetic dunite 细粒合成云英岩中弹性行为的开始
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-03-01 DOI: 10.1016/j.pepi.2024.107160
Tongzhang Qu , Ian Jackson , Ulrich H. Faul , Emmanuel C. David

Micromechanical models suggest that the onset of anelastic relaxation in polycrystalline olivine, critical to interpretation of the seismic wave attenuation and dispersion in the upper mantle, should be a mild dissipation peak caused by elastically accommodated grain-boundary sliding. Such behavior has been tentatively invoked to explain both a short-period shear modulus deficit and a dissipation plateau poorly resolved at 900–700 °C in previous forced-oscillation experiments on fine-grained dunite tested within mild-steel jackets. However, these observations may have been complicated by the austenite to ferrite plus cementite phase transition in the jacket material, compliance associated with interfacial Ni70Fe30 foils, and modeling of the mechanical properties of polycrystalline alumina as control specimen. To investigate the influence of these complications within the experimental setup and provide forced-oscillation data of better quality especially at moderate temperatures, we have conducted further forced-oscillation tests for which we removed the interfacial foils, employed single-crystal sapphire as reference sample, and used alternative jacket materials (stainless steel or copper) which experience no phase transition during the staged cooling. The newly acquired forced-oscillation data, although broadly consistent with the previous results, differ significantly especially in temperature sensitivity, and allow refinement of an appropriate Burgers creep-function model. A mild dissipation peak superimposed on monotonic dissipation background during the onset of anelastic relaxation in dry, melt-free and fine-grained dunite has now been consistently observed at temperatures of ∼950–1050 °C and seismic periods of 1–1000 s. Such a dissipation peak with relaxation strength 0.02 ± 0.01 is attributed to elastically accommodated grain-boundary sliding. The high activation energy (> 600 kJ/mol) of viscoelastic behavior involving both dissipation and related dispersion suggests that grain-boundary diffusion may be limited by interfacial reaction within grain boundaries. The reduced relaxation strength makes it difficult to attribute the oceanic lithosphere-asthenosphere boundary to water-mediated elastically accommodated grain-boundary sliding.

微观力学模型表明,多晶橄榄石中弹性松弛的起始点应该是一个由弹性容纳的晶界滑动引起的轻度耗散峰,这对解释上地幔中的地震波衰减和频散至关重要。在以前对置于软钢夹套中的细粒白云石进行的强制振荡实验中,这种行为被初步用来解释短周期剪切模量不足和在 900-700 °C时难以解析的耗散高原。然而,夹套材料中从奥氏体到铁素体加雪明体的相变、与界面镍铁箔相关的顺应性以及作为对照试样的多晶氧化铝的力学性能建模,都可能使这些观察结果变得复杂。为了研究实验装置中这些复杂因素的影响,并提供更高质量的强制振荡数据(尤其是在中等温度下),我们进行了进一步的强制振荡测试,去除了界面箔,使用单晶蓝宝石作为参考样品,并使用了在分段冷却过程中不会发生相变的其他夹套材料(不锈钢或铜)。新获得的强迫振荡数据虽然与之前的结果基本一致,但尤其在温度敏感性方面存在显著差异,因此可以完善适当的布尔格斯蠕变函数模型。在温度约为 950-1050 °C、地震周期为 1-1000 s 的干燥、无熔体和细粒度白云石中,在弹性松弛开始时,单调松弛背景上叠加了一个温和的耗散峰。同时涉及耗散和相关分散的粘弹性行为的高活化能(> 600 kJ/mol)表明,晶界扩散可能受到晶界内界面反应的限制。
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引用次数: 0
The effect of rotatability of measuring directions design on the precision of the determination of the anisotropy of magnetic susceptibility: Mathematical model study 测量方向设计的可旋转性对磁感应强度各向异性测定精度的影响:数学模型研究
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-03-01 DOI: 10.1016/j.pepi.2024.107159
František Hrouda , Josef Ježek , Martin Chadima

The precision of the measurement of the anisotropy of magnetic susceptibility (AMS) depends, in addition to other factors like accuracy of measurement of directional susceptibility and number of measuring directions, also on the orientation of the measuring design with respect to the specimen's anisotropy. The last factor can be characterized by rotatability coefficient of the measuring design. We investigated through mathematical modelling of measuring process the effect of the rotatability coefficient on the error in the determination of degree of AMS, shape factor and principal directions. The effect is conspicuous in strongly non-rotatable designs with low number of measuring directions. It decreases with increasing rotatability and with increasing number of measuring directions. In designs with high number of directions this effect is small, virtually negligible from the practical point of view.

磁感应强度(AMS)各向异性的测量精度除了取决于定向磁感应强度测量精度和测量方向数量等其他因素外,还取决于测量设计相对于试样各向异性的方向。最后一个因素可以用测量设计的可旋转系数来表征。我们通过测量过程的数学模型研究了可旋转系数对确定 AMS 度、形状系数和主要方向误差的影响。如果测量设计是可旋转的,则对测量精度没有影响。如果设计是不可旋转的,则其影响取决于(不可)旋转的程度。在测量方向数量较少的不可旋转设计中,由于不可旋转性的影响,测量精度较差,而在测量方向数量较多的设计中,这种影响较小,从实际角度来看几乎可以忽略不计。
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引用次数: 0
Three-dimensional magnetotelluric modeling with nontrivial anisotropy by a regularization approach 用正则化方法建立具有非微小各向异性的三维磁电流模型
IF 2.3 3区 地球科学 Q1 Physics and Astronomy Pub Date : 2024-02-24 DOI: 10.1016/j.pepi.2024.107158
Zeqiu Guo , Hao Dong , Keke Zhang

The regularization approach has been successfully applied to remove spurious solutions in the magnetotelluric (MT) forward problems of isotropic Earth media. However, spurious modes are more likely to occur in numerical solutions of anisotropic media, as electrical anisotropy introduces many more complications to electromagnetic (EM) induction in such media. This study focuses on developing the regularization approach to 3D MT forward problems of anisotropic media, especially those of nontrivial anisotropy. The governing equation is now derived with a conductivity tensor, and an accordingly adapted form of a scaled grad-div term is augmented to regularize the solutions and constrain the divergence-free condition. A new scaling scheme is proposed to cope with the complicated distribution of current densities in nontrivial anisotropy media, and an effective conductivity is approximated by the diagonal elements of the conductivity tensor to formulate the scaling factor. Numerical tests show that, for various models of electrical anisotropy, the regularization approach can effectively enforce the divergence condition and successfully suppress spurious solutions. Therefore, for nontrivial anisotropy media, this approach can also improve the efficiency of the iterative solvers while retaining the accuracy of the solutions. The derivation of the governing equation is based on the MT method. However, this strategy should be generally applicable to other frequency-domain EM methods.

正则化方法已成功应用于消除各向同性地球介质的磁突扰(MT)前向问题中的假解。然而,在各向异性介质的数值解中更容易出现杂散模式,因为电各向异性给此类介质中的电磁感应带来了更多复杂因素。本研究的重点是开发正则化方法,以解决各向异性介质的三维 MT 正演问题,尤其是非三向异性介质。现在,通过电导张量导出了控制方程,并增加了相应调整形式的缩放梯度项,以正则化求解并约束无发散条件。我们提出了一种新的缩放方案,以应对非三向各向异性介质中复杂的电流密度分布,并用电导张量的对角元素近似表示有效电导率,以制定缩放因子。数值测试表明,对于各种电各向异性模型,正则化方法可以有效地强制执行发散条件,并成功抑制假解。因此,对于非三向各向异性介质,这种方法还能提高迭代求解器的效率,同时保持解的精度。治理方程的推导基于 MT 方法。不过,这一策略应普遍适用于其他频域电磁方法。
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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 : 2024-02-15 DOI: 10.1016/j.pepi.2024.107154
Cesar Jimenez , Yuchen Wang

The earthquake of Chimbote occurred on February 21, 1996 in the northern region of Peru. Despite its relatively small magnitude, it generated a tsunami of 2–3 m height in Chimbote, taking the lives of 12 people. We conducted the signal processing of 31 broadband teleseismic stations, and waveform inversion to obtain the slip distribution and source time function, which indicated a multiple rupture process. The rupture process had a duration of 70 s, a rather high value for a relatively small earthquake. The calculated scalar seismic moment was 2.19×1020 Nm, corresponding to a moment magnitude of Mw 7.5. The slip distribution was heterogeneous, with a maximum slip of 8.9 m around the main asperity concentrated in an area of 30×30km2, for an constrained rigidity of 1.46×1010N/m2. We also calculated the vertical coseismic deformation for 45 subfaults, which was used as an initial condition for the tsunami propagation modelling. Simulated tsunami waveforms were calculated for Salaverry (Hmax=0.81 m), Santa (Hmax=4.62 m) and Chimbote (Hmax=2.67 m) tidal stations.

1996 年 2 月 21 日,秘鲁北部地区发生了钦博特地震。尽管震级相对较小,但在 Chimbote 却引发了 2-3 米高的海啸,造成 12 人死亡。我们对 31 个宽带远震站进行了信号处理,并对波形进行了反演,从而获得了滑移分布和震源时间函数。破裂过程持续时间为 70 秒,这对于一个相对较小的地震来说是一个相当高的值。计算出的标量地震力矩为 2.19×1020 Nm,相当于 7.5 级力矩。滑移分布是不均匀的,在 30×30km2 的区域内,主岩体周围的最大滑移量为 8.9 米,约束刚度为 1.46×1010N/m2。我们还计算了 45 个次级断层的垂直共震变形,并将其作为海啸传播模拟的初始条件。计算了 Salaverry(Hmax=0.81 米)、Santa(Hmax=4.62 米)和 Chimbote(Hmax=2.67 米)潮汐站的模拟海啸波形。
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引用次数: 0
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Physics of the Earth and Planetary Interiors
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