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Stable optimization of finite-difference operators for seismic wave modeling 地震波模拟有限差分算子的稳定优化
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2020-09-03 DOI: 10.1007/s11200-019-0487-1
Jian Wang, Liu Hong

The finite difference scheme is now widely used in the reverse time migration and full waveform inversion. Their results are dependent on the accuracy of finite difference operators. In this paper, we combine the cosine function with the original window function to construct a new window function, in order to obtain higher precision finite difference operators. The absolute error curves of the optimized finite difference operators are close to zero for low wavenumbers. In other words, we do not observe an oscillating curve of absolute errors produced by other optimized methods. In order to overcome the limitations of a single graphics processing unit (GPU), we developed the multiple-GPU method for the elastic wave equation. Numerical experimental results show that our new window function can control the numerical dispersion better than the binomial window and scaled binomial window, and the multiple-GPU computation is very stable.

有限差分格式在逆时偏移和全波形反演中得到了广泛的应用。它们的结果依赖于有限差分算子的精度。为了得到精度更高的有限差分算子,本文将余弦函数与原窗函数结合,构造一个新的窗函数。对于低波数,优化后的有限差分算子的绝对误差曲线接近于零。换句话说,我们没有观察到由其他优化方法产生的绝对误差的振荡曲线。为了克服单图形处理器(GPU)的局限性,我们开发了弹性波动方程的多图形处理器方法。数值实验结果表明,该窗函数比二项窗和缩放二项窗能更好地控制数值色散,且多gpu计算非常稳定。
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引用次数: 2
A stable regularization method of downward continuation of potential field 位场向下延拓的稳定正则化方法
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2020-07-27 DOI: 10.1007/s11200-019-0760-3
Jinpeng Li, Yingtang Zhang, Hongbo Fan, Zhining Li, Fucheng Sun

Downward continuation is known as one of the crucial steps in interpreting gravity or magnetic data. As the continuation depth and the influence of noise increases, the results of downward continuation become unstable. Based on the computation of the Chebyshev-Padé approximation function obtained by the Tikhonov regularization, this paper proposes a new regularized method intended for the downward continuation of potential fields. The Chebyshev-Padé approximation function is applied to calculate the continuation factor. In this study, the cross-correlation method is adopted to calculate the cut-off wavenumber, while the regularized low-pass filter is designed to calculate the downward continuation of the potential field. In order to validate this method, numerical simulation is conducted. We calculate the root mean square error of the theoretical data on the target plane and the data of downward continuation, as obtained using the improved regularization operator method, the Chebyshev-Padé approximation function method, the regularized Chebyshev-Padé approximation function method, and the method proposed in this paper, based on which a comparison is conducted. According to the simulation and experimental results, the effects of the continuation depth can be reduced significantly by the proposed method. Besides, the method demonstrates strong resistance to noise.

向下延拓是解释重磁资料的关键步骤之一。随着延拓深度和噪声影响的增加,向下延拓的结果变得不稳定。本文在对Tikhonov正则化得到的chebyhev - pad近似函数进行计算的基础上,提出了一种新的势场向下延拓的正则化方法。采用chebyhev - pad近似函数计算连续因子。本研究采用互相关法计算截止波数,设计正则化低通滤波器计算位场向下延拓。为了验证该方法的有效性,进行了数值仿真。采用改进的正则化算子法、chebyhev - pad近似函数法、正则化chebyhev - pad近似函数法和本文提出的方法计算了目标平面上理论数据和向下延延数据的均方根误差,并在此基础上进行了比较。仿真和实验结果表明,该方法可以显著降低延拓深度的影响。此外,该方法具有较强的抗噪声能力。
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引用次数: 1
Desert seismic data denoising based on energy spectrum analysis in empirical curvelet domain 基于经验曲线域能谱分析的沙漠地震数据去噪
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2020-07-18 DOI: 10.1007/s11200-019-0476-4
Mo Li, Yue Li, Ning Wu, Yanan Tian

Desert seismic events are disturbed and contaminated by strong random noise, which complicates the subsequent processing, inversion, and interpretation of the data. Thus, noise suppression is an important task. The complex characteristics of random noise in desert seismic records differ completely from those of Gaussian white noise such that they are non-stationary, non-Gaussian, non-linear and low frequency. In addition, desert seismic signals and strong random noise generally share the same frequency bands. Such factors bring great difficulties in the processing and interpretation of desert seismic data. To obtain high-quality data in desert seismic exploration, we have developed an effective denoising method for desert seismic data, which performs energy spectrum analysis in the empirical curvelet transform (ECT) domain. The empirical curvelet coefficients are divided into two different groups according to their energy spectrum distributions. In the first group, which contains fewer effective signals, a large threshold is selected to remove lots of random noise; the second group, with more effective signals, a coherence-enhancing diffusion filter (CEDF) is used to eliminate the noise. Unlike traditional curvelet transforms, ECT not only has the multi-scale, multi-direction, and anisotropy properties of conventional curvelet transform, but also provides adaptability to separate the effective signals from the random noise. We examine synthetic and field desert seismic data. The denoising results demonstrate that the proposed method can be used for preserving effective signals and removing random noise.

沙漠地震事件受到强烈随机噪声的干扰和污染,这给后续的数据处理、反演和解释带来了复杂性。因此,噪声抑制是一项重要的工作。沙漠地震记录中的随机噪声具有非平稳、非高斯、非线性和低频等复杂特征,与高斯白噪声完全不同。此外,沙漠地震信号与强随机噪声一般具有相同的频带。这些因素给沙漠地震资料的处理和解释带来了很大的困难。为了在沙漠地震勘探中获得高质量的数据,提出了一种有效的沙漠地震数据去噪方法,即在经验曲线变换(ECT)域进行能量谱分析。根据经验曲线系数的能谱分布,将其分为两组。第一组有效信号较少,选取较大的阈值去除大量的随机噪声;第二组采用相干增强扩散滤波器(CEDF)消除噪声,信号更加有效。与传统曲线变换不同,ECT不仅具有传统曲线变换的多尺度、多方向和各向异性特性,而且具有从随机噪声中分离有效信号的适应性。我们考察了合成和野外沙漠地震资料。结果表明,该方法能有效地保留有效信号,去除随机噪声。
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引用次数: 4
Improving the accuracy of the expanded anisotropic eikonal equation at larger offsets using Levin T-transformation 利用Levin t变换提高大偏移量下扩展各向异性斜向方程的精度
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2020-07-15 DOI: 10.1007/s11200-020-0610-3
Humbang Purba, Awali Priyono, Wahyu Triyoso, Mochamad Apri

In an anisotropic model, traveltime can be determined approximately by numerical solution of the eikonal equation in terms of an anellipticity parameter η, using perturbation theory. However, its accuracy decreases under the effect of strong anisotropy at larger offsets. It becomes invalid for determining normal moveout velocity and anellipticity parameter in seismic processing. We propose a new approach using Levin T-transformation to transform the expanded traveltime in the transversely isotropic medium with vertical axis of symmetry (VTI) into rational form. The objective of this study is to provide a new traveltime approximation that is more accurate at larger offsets. In this study, we derive Levin algorithm and determine the optimal value of Levin parameters, which is a key step in achieving better accuracy. In a numerical experiment, we compare the accuracy between Levin T-transformation and second sequence of Shanks transformation in a homogeneous VTI medium. We also implement both approximations in a velocity analysis and stacking traces using synthetic common midpoint gathers on a multilayer earth model. The proposed method shows a superiority in accuracy to existing methods over a range of offsets with offset-to-depth ratio up to 6 and anellipticity parameter 0–0.5.

在各向异性模型中,旅行时间可以用微扰理论用非椭圆参数η对斜角方程进行数值解来近似确定。但在较大偏移量下,受强各向异性的影响,其精度下降。在地震处理中,确定法向移动速度和非椭圆性参数是无效的。提出了一种利用Levin t变换将具有垂直对称轴(VTI)的横各向同性介质中的扩展行时变换为有理形式的新方法。本研究的目的是提供一种新的旅行时近似值,该近似值在较大的偏移量下更准确。在本研究中,我们推导了Levin算法并确定了Levin参数的最优值,这是获得更好精度的关键步骤。在数值实验中,比较了均匀VTI介质中Levin t变换与Shanks二阶变换的精度。我们还在速度分析中实现了近似,并在多层地球模型上使用合成的共同中点集实现了叠加轨迹。在偏移深度比为6、椭圆度参数为0-0.5的偏移范围内,该方法的精度优于现有方法。
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引用次数: 1
Impact of environmental phenomena on continuous relative gravity measurements performed in urban area 环境现象对城市地区连续相对重力测量的影响
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2020-06-22 DOI: 10.1007/s11200-021-0536-4
Branislav Hábel, Juraj Janák, Juraj Papčo, Miloš Val’ko

The relative monitoring gravimeter gPhoneX #108 was installed in the building of Faculty of Civil Engineering of the Slovak University of Technology in Bratislava in the beginning of 2016. Main purpose of the paper is to analyze how external environmental phenomena generating non-gravitational signal, such as strong human activity, ambient noise and tilting of observing site due to solar radiation, can influence the quality of relative gravity measurements and their suitability for geodynamic applications. For this purpose, we accomplished spectral analysis of gravity data with different sampling rate, examination of instrumental drift, and tidal analysis of hourly gravity records. Our study showed that the gPhoneX #108 gravity measurements are adversely affected by the tilting of the building, where the gravimeter is located. This effect produces a significant non gravitational signal with characteristic daily and seasonal variation depending on the weather conditions. The instability of the observing site also generates a strong non-gravitational signal and corrupts the estimation of tidal parameters mainly in a diurnal tidal band. The investigation of the instrumental drift proved its irregular character due to the changes of temperature in the operating room. Another limitation factor for detection of small gravity changes is the level of ambient noise with the average daily amplitude of about 100 nm s?2. Obtained experimental results can be useful for planning and performing the relative gravity measurements in a noisy environment, or in the case of an instable observing site. The most significant non-gravitational signal with variable daily and seasonal influence was caused by the instability of the observing site. In order to minimize this influence we recommend regular calibration of the built-in tiltmeters.

相对监测重力仪gPhoneX #108于2016年初安装在布拉迪斯拉发斯洛伐克科技大学土木工程学院大楼。本文的主要目的是分析产生非重力信号的外部环境现象,如强烈的人类活动、环境噪声和观测地点因太阳辐射而产生的倾斜等,如何影响相对重力测量的质量及其对地球动力学应用的适用性。为此,我们完成了不同采样率下重力数据的光谱分析、仪器漂移检验和逐时重力记录的潮汐分析。我们的研究表明,gPhoneX #108重力测量结果受到重力仪所在建筑倾斜的不利影响。这种效应产生了一个显著的非重力信号,其特征是根据天气条件的日变化和季节变化。观测点的不稳定性也产生了强烈的非重力信号,主要影响了日潮带潮汐参数的估计。对仪器漂移的研究表明,由于手术室温度的变化,仪器漂移具有不规则性。探测微小重力变化的另一个限制因素是平均日振幅约为100 nm s?2的环境噪声水平。获得的实验结果可用于规划和执行在嘈杂环境中,或在一个不稳定的观测地点的情况下相对重力测量。最显著的非重力信号是由观测点的不稳定性引起的,其日影响和季节影响变化较大。为了尽量减少这种影响,我们建议定期校准内置倾斜仪。
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引用次数: 2
Incidence of solar cycle 24 in nighttime foF2 long-term trends for two Japanese ionospheric stations 日本两个电离层站夜间太阳周期24的发生率
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2020-06-06 DOI: 10.1007/s11200-021-0584-9
Blas F. de Haro Barbás, Ana G. Elias, Mariano Fagre, Bruno S. Zossi

Ionospheric long-term trend studies are of great scientific interest since they contribute to the more general and controversial climatic change issue. In this paper we analyze the effect of the inclusion of solar cycle 24 on estimation of the nighttime trend of the critical frequency of ionospheric F2 layer (foF2) for Kokubunji (35.7°N, 139.5°E) and Wakkanai (45.4°N, 141.7°E), two mid-latitude Japanese stations. Even though during the night recombination and transport processes prevail, ionization still depends directly on solar activity, so it must be filtered out before any long-term variation assessment. As usual, filtering is done considering the residuals of the regressions between foF2 with the solar radio flux at 10.7 cm (F10.7) and a ratio between the core and wing line intensities of the emitted ionized Magnesium doublet (Mg II index). Similar to the case of daytime foF2 values, night trends become less negative when solar cycle 24 is included since foF2 residuals systematically exceed the values predicted by F10.7 or Mg II from 2009 onwards. This effect is weaker in the case of Mg II, which is expected to be a better solar extreme ultraviolet (EUV) proxy than F10.7 in the case of the solar radiation involved in the F2 layer ionization. A plausible cause for cycle 24 incidence in the trend may be due to the use of F10.7 or Mg II as EUV proxy to filter solar activity. It is because they both seem to be inaccurate for filtering purposes since the last deep minimum in about 2008. Otherwise, there could be a real physical cause for this observation.

电离层长期趋势研究具有重大的科学意义,因为它们有助于研究更普遍和有争议的气候变化问题。本文分析了太阳周期24对日本中纬度国分二站(35.7°N, 139.5°E)和Wakkanai站(45.4°N, 141.7°E)电离层F2层临界频率(foF2)夜间趋势的影响。即使在夜间重组和传输过程盛行,电离仍然直接依赖于太阳活动,因此必须在任何长期变化评估之前过滤掉它。与往常一样,考虑foF2与太阳射电通量在10.7 cm (F10.7)之间的回归的残差以及发射的电离镁重态的核心和翼线强度之比(Mg II指数)进行滤波。与白天foF2值的情况类似,当太阳活动周期24包括在内时,夜间趋势变得不那么消极,因为从2009年起,foF2残余量系统地超过了F10.7或Mg II预测的值。这种效应在Mg II的情况下较弱,在涉及F2层电离的太阳辐射的情况下,Mg II有望比F10.7更好地代表太阳极紫外线(EUV)。第24周期在趋势中发生的一个合理原因可能是由于使用F10.7或Mg II作为EUV代理来过滤太阳活动。这是因为自2008年左右的上一次深度最小值以来,它们似乎都不适合过滤目的。否则,这种观察结果可能有真正的物理原因。
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引用次数: 7
Quality assessment of global gravity field models in coastal zones: A case study using astrogeodetic vertical deflections in Istanbul, Turkey 沿海地区全球重力场模型的质量评估:以土耳其伊斯坦布尔的天文大地测量垂直偏转为例研究
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2020-06-06 DOI: 10.1007/s11200-019-0591-2
Müge Albayrak, Christian Hirt, Sébastien Guillaume, Kerem Halicioglu, M. Tevfik Özlüdemir, C. K. Shum

We present the first high-precision astrogeodetic vertical deflection (VD) observations collected in Istanbul, Turkey, using a novel lightweight total station integrated with a charge-coupled device (CCD) camera, the QDaedalus system. The observed VDs are unique in that, they were measured for the first time in Istanbul, and they form Turkey’s first dense astrogeodetic network. To establish the Istanbul Astrogeodetic Network (IAN), we selected 30 benchmarks (BMs) with known geodetic coordinates. A total of 21 of these BMs are located in the coastal zone allowing us to investigate the quality of global gravity field models (GGFMs) along the coast of Istanbul. The standard deviations for our VDs are approximately ±0.20″which is commensurate with the VD accuracy of early studies assessing the QDaedalus observations. In particular, dedicated comparison measurements were conducted in two geographic regions—Munich and Istanbul—to control the accuracy of the VD measurements. Our new VD data set within the IAN was compared with predicted VDs from the Global Gravity Model plus (GGMplus) and the Earth Gravitational Model 2008 (EGM2008). The VD residuals between the QDaedalus observations, and predicted values from GGMplus and EGM2008 models tend to increase towards the coastlines, where discrepancies of several arcseconds were found. At 15 coastal BMs, the residuals in the N-S components exceed 2″ and reach values as large as 6″ while residuals in the E-W components exceeded 2″ at 3 BMs. We interpret these large differences as an indication of the current weaknesses in the GGF Ms, most likely reflecting errors in the altimetry-derived marine gravity measurements, which have been incorporated in the EGM2008 and GGMplus models, or the lack of coastal terrestrial gravity measurements, or both. We conclude that the astrogeodetic VDs observed by the QDaedalus are invaluable for independently assessing the quality of coastal-zone terrestrial gravity data sets and GGFMs.

我们展示了在土耳其伊斯坦布尔收集的第一个高精度天文大地测量垂直偏转(VD)观测数据,使用了一种新型的轻型全站仪,集成了电荷耦合器件(CCD)相机,QDaedalus系统。观测到的VDs的独特之处在于,它们是在伊斯坦布尔首次测量的,它们形成了土耳其第一个密集的天体大地测量网。为了建立伊斯坦布尔天文大地测量网(IAN),我们选择了30个具有已知大地坐标的基准(bm)。这些bm中有21个位于沿海地区,使我们能够调查伊斯坦布尔沿海地区全球重力场模型(GGFMs)的质量。我们的VD的标准偏差约为±0.20″,这与评估q代达罗斯观测的早期研究的VD精度相称。特别地,在慕尼黑和伊斯坦布尔两个地理区域进行了专门的比较测量,以控制VD测量的准确性。我们在IAN内的新VD数据集与全球引力模型plus (GGMplus)和地球引力模型2008 (EGM2008)的预测VD进行了比较。QDaedalus观测值与GGMplus和EGM2008模式的预测值之间的VD残差倾向于向海岸线方向增加,在那里发现了几个弧秒的差异。在15个岸基上,N-S分量的残差超过2″,达到6″,E-W分量的残差在3个岸基上超过2″。我们将这些巨大的差异解释为GGF模型目前存在的弱点,这很可能反映了EGM2008和GGMplus模式中包含的基于测高的海洋重力测量的误差,或者缺乏沿海陆地重力测量,或者两者兼有。我们的结论是,q代达罗斯观测到的天体大地测量VDs对于独立评估海岸带陆地重力数据集和GGFMs的质量是非常宝贵的。
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引用次数: 5
A technique to reduce the edge effect in least squares extrapolation for enhanced Earth orientation prediction 一种减少最小二乘外推中边缘效应的技术,用于增强地球方向预测
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2020-05-30 DOI: 10.1007/s11200-021-0546-2
Danning Zhao, Yu Lei

A well-known property of the classical least squares (LS) extrapolation is that a fit is best in the middle of the time span of observed data, but worse near the beginning and end of the time span. This phenomenon is called the edge effect in data processing. The goal of this work is to reduce the edge effect to improve predictions of the Earth rotation parameters (ERP), which comprise the Earth’s polar motion and rotation angle (the difference between the smoothed principal form of universal time UT1 and the coordinated universal time UTC) because a best LS fitting near the end of the data used is better for extrapolation. We first use the LS extrapolation for models consisting of one polynomial and two sinusoids in combination with an autoregressive (AR) technique to extend the observed time series forward. We then re-estimate the LS extrapolation model from the extended time series to reduce the edge-effect. ERP predictions are subsequently generated by combining of the edge effect reduced LS extrapolation and AR technique, denoted as ERLS + AR. Through an example, we demonstrate that the edge-effect in the observed data fitting can be reduced by re-estimating the LS extrapolation model with the extended time series. To validate the ERLS + AR method, we calculate the ERP predictions up to 365 days into the future year-by-year for the 4-year period from 2014 to 2017 using the data from the previous 8 years. The results show that the accuracy of the short-term predictions obtained by the ERLS + AR method is comparable with that achieved by the LS + AR approach in terms of the mean absolute error (MAE). However, an accuracy improvement is found mostly for long-term predictions based on the ERLS + AR method. The MAE for the UT1 ? UTC and polar motion predictions can decrease by approximately 15% to 20%, respectively. It is therefore suggested embedding the ERLS extrapolation algorithm into the existing ERP prediction procedure.

经典最小二乘(LS)外推的一个众所周知的特性是,在观测数据的时间跨度中间,拟合最好,但在时间跨度的开始和结束附近,拟合最差。这种现象在数据处理中称为边缘效应。这项工作的目标是减少边缘效应,以改善地球旋转参数(ERP)的预测,ERP包括地球的极运动和旋转角度(世界时UT1的平滑主形式与协调世界时UTC之间的差异),因为在所用数据的末端附近的最佳LS拟合更适合外推。我们首先对由一个多项式和两个正弦波组成的模型使用LS外推,并结合自回归(AR)技术将观测到的时间序列向前扩展。然后,我们从扩展的时间序列中重新估计LS外推模型,以减少边缘效应。然后将边缘效应减少的LS外推法与AR技术相结合,生成ERP预测,称为ERLS + AR。通过一个例子,我们证明了通过扩展时间序列重新估计LS外推模型可以减少观测数据拟合中的边缘效应。为了验证ERLS + AR方法,我们使用过去8年的数据,计算了2014年至2017年4年期间365天的ERP预测。结果表明,在平均绝对误差(MAE)方面,ERLS + AR方法的短期预测精度与LS + AR方法相当。然而,准确性的提高主要是基于ERLS + AR方法的长期预测。UT1的MAE ?UTC和极移预测可能分别下降约15%至20%。因此,建议将ERLS外推算法嵌入到现有的ERP预测程序中。
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引用次数: 3
Archaeomagnetic investigations in Bolgar (Tatarstan) Bolgar(鞑靼斯坦)考古地磁调查
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2020-04-25 DOI: 10.1007/s11200-019-0493-3
Lina R. Kosareva, Dilyara M. Kuzina, Danis K. Nurgaliev, Airat G. Sitdikov, Olga V. Luneva, Damir I. Khasanov, Neil Suttie, Simo Spassov

The objective of this study is to provide a well-dated point for a future palaeosecular variation (PSV) reference curve for western Russia. For this purpose archaeomagnetic and magnetic property analyses were carried out on a pottery kiln unearthed at the UNESCO World Heritage site of ancient Bolgar, having a rather precise age dating. The archaeological context provided an age between 1340 and 1360 C.E. The characteristic remanence vector was determined through alternating field demagnetisation and Thellier-Thellier palaeointensity experiments. Some innovations were introduced regarding palaeointensity. The check testing the equality of blocking and unblocking temperature was redefined. This allowed waiving the commonly used additional zero-field cooling steps during the Thellier-Thellier experiment. Another innovation concerns the calculation of archaeointensity at structure level. A Bayesian approach was introduced for averaging individual specimen archaeointensities using a prior probability distribution of unknown uncertainties. Next, an additional prior probability distribution was used to correct for cooling rate effects. This resulted in a lower uncertainty compared to common practice and in eluding time consuming cooling rate experiments. The complex magnetic mineralogy consists of maghaemite, multi-domain haematite and Al-substituted haematite. Some samples contained also some non-stoichiometric magnetite. The magnetic mineralogy was determined through hysteresis loops, backfield and remanence decay curves, measurements of the frequency dependence of magnetic susceptibility and through low temperature magnetisation curves. Accompanying high-temperature thermomagnetic analyses revealed an excellent thermo-chemical stability of the studied specimens. Directions obtained from alternating field demagnetisation and those extracted from archaeointensity experiments are congruent and have low uncertainties. The obtained archaeomagnetic results are fairly in agreement with global geomagnetic field models and contemporary PSV data of the wider area. The geomagnetic field vector obtained for ancient Bolgar is of high quality, deserving thus its inclusion in a future PSV reference curve for European Russia.

本研究的目的是为未来俄罗斯西部的古长期变化(PSV)参考曲线提供一个准确的年代点。为此,对联合国教科文组织世界遗产古博尔加尔出土的一个陶窑进行了考古磁和磁特性分析,并进行了相当精确的年代测定。考古背景提供了1340 - 1360 ce之间的年龄,特征剩余物矢量是通过交变磁场消磁和泰勒-泰勒古强度实验确定的。介绍了一些关于古强度的创新。重新定义了阻塞和解封温度相等性的检验。这允许在泰勒-泰勒实验中放弃常用的额外零场冷却步骤。另一项创新涉及在结构水平上计算考古强度。介绍了贝叶斯方法,利用未知不确定性的先验概率分布来平均单个标本的考古强度。接下来,使用一个额外的先验概率分布来校正冷却速率的影响。这导致了较低的不确定性相比,常见的做法和在避免耗时的冷却速率实验。复杂的磁性矿物学由磁赤铁矿、多畴赤铁矿和铝取代赤铁矿组成。有些样品还含有一些非化学计量磁铁矿。通过磁滞回线、后场和剩磁衰减曲线、磁化率的频率依赖性测量和低温磁化曲线确定了磁性矿物学。伴随的高温热磁分析显示了所研究样品的优异的热化学稳定性。交变磁场消磁得到的方向与考古强度实验得到的方向一致,不确定度低。所获得的古地磁结果与全球地磁场模型和更广泛地区的当代PSV数据相当吻合。古Bolgar获得的地磁场矢量质量很高,值得纳入未来欧洲俄罗斯PSV参考曲线。
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引用次数: 4
Simple numerical tests for ocean tidal models 海洋潮汐模型的简单数值试验
IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2020-04-25 DOI: 10.1007/s11200-019-0348-y
Libor Šachl, David Einšpigel, Zdeněk Martinec

There is a growing interest in tidal effects on the global wind-driven oceanic circulation. Tidal models used in such investigations have been verified by comparison with satellite and tide gauge data, but synthetic tests have not been published. In this paper we present three numerical tests in spherical geometry, which are suitable for testing the tidal component of global ocean models. The first test is a tsunami-like propagation of an initial Gaussian depression with no external forcing. The other two tests examine the tidal response of an ocean with an undulating bottom with four Gaussian ridges and an ocean with a flat bottom with a realistic land mask. We provide the results from six model configurations, which differ in the time-stepping scheme and computational grid used. Most of them are implemented in present-day global ocean models. Although the proposed numerical tests are simple compared to realistic simulations, their analytic solutions are not available. We thus check the conservation of time invariants to ensure that the solutions are physically meaningful. We also compare the time evolution of certain physical quantities and the differences in sea surface heights at particular time instants with respect to a reference solution. All tested time stepping schemes are suitable for tidal studies except for the Euler implicit time stepping scheme. Model configurations based on the Arakawa grids B/E use smoothing to suppress the grid-scale noise which results in an energy leakage of around 5%. The B/E-grid energy leakage is probably acceptable if we consider that tuned diffusive terms are used in real-world configurations. The C-grid and B/E-grid solutions differ in the vicinity of solid boundaries as a consequence of different boundary conditions. The B-grid and E-grid solutions are similar, unless the shape of the solid boundaries is complex due to the different shapes of the respective grid cells.

人们对潮汐对全球风驱动的海洋环流的影响越来越感兴趣。在这类调查中使用的潮汐模型已经通过与卫星和潮汐计数据的比较得到了证实,但是合成测试还没有发表。本文提出了三种适用于全球海洋模式潮汐分量测试的球面几何数值测试方法。第一个测试是在没有外力的情况下,初始高斯衰减的海啸式传播。另外两项测试考察了具有四个高斯脊的起伏底部的海洋和具有真实陆地掩膜的平坦底部的海洋的潮汐响应。我们提供了六种模型配置的结果,它们在时间步进方案和使用的计算网格上有所不同。其中大多数是在当今的全球海洋模型中实现的。虽然所提出的数值试验与实际模拟相比是简单的,但它们的解析解是不可用的。因此,我们检查时不变量守恒以确保解在物理上是有意义的。我们还比较了某些物理量的时间演变和特定时刻海面高度的差异相对于参考解。除了欧拉隐式时间步进方案外,所有测试的时间步进方案都适用于潮汐研究。基于Arakawa网格B/E的模型配置使用平滑来抑制网格尺度的噪声,从而导致约5%的能量泄漏。如果我们考虑在实际配置中使用调谐扩散项,则B/ e电网的能量泄漏可能是可以接受的。由于边界条件不同,c网格解和B/ e网格解在实体边界附近存在差异。b网格和e网格的解决方案是相似的,除非实体边界的形状由于各自网格单元的不同形状而变得复杂。
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引用次数: 2
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Studia Geophysica et Geodaetica
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