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Present-day crustal deformation based on an interpolated GPS velocity field in the collision zone of the Arabia-Eurasia tectonic plates 基于阿拉伯-欧亚大陆板块碰撞带全球定位系统插值速度场的现今地壳形变
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-10-22 DOI: 10.1007/s11200-023-0740-5
Asghar Rastbood, Milad Salmanian, Masoud Mashhadi Hossainali

The oblique collision zone of Arabia-Eurasia is a seismically active region with complex crustal deformation patterns. While GPS measurements provide valuable data, their sparse distribution limits our understanding of the full extent of deformation. This study addresses this limitation by using a robust interpolation method for GPS velocity data in the collision zone. We utilized biharmonic splines to interpolate horizontal components of sparse GPS velocity data independently and in a coupled manner by altering Poisson ratio. This method is an effective means of interpolating sparse vector data in cases where deformation mechanics can be explained by elasticity principles. The interpolation process included fitting trends to the input data, calculating residuals, and analyzing them. The prediction process consisted of trend and spline fitting stages. We interpolate horizontal GPS velocities onto a standard geographic grid with a 30-minute interval, excluding data points with significant deviation. The data was partitioned into training and testing subsets, with the training set used for calibration and the testing set for evaluation of the interpolation method. Our analysis revealed an irregular spatial distribution of crustal movement. The northern component of the velocity field consistently points towards Eurasia and is greater than the eastern component. The amplitude of the northern component decreases from south to north and from west to east, indicating variations in deformation intensity. The eastern component exhibits a change in direction, moving westward in the western half of Iran and eastward in the eastern half, with a reversed trend in the north. This change in direction highlights the presence of solid blocks within the collision zone. Undeformed regions, major faults, convergence deformation, and compressing high-elevation regions are also observed in the collision zone. These findings provide a detailed picture of present-day crustal deformation in the Arabia-Eurasia collision zone, enhancing our understanding of the collision process.

阿拉伯-欧亚大陆斜向碰撞带是一个地震活跃地区,地壳变形模式复杂。虽然全球定位系统测量提供了宝贵的数据,但其稀疏的分布限制了我们对形变全部范围的了解。本研究通过对碰撞区的 GPS 速度数据采用稳健的内插法来解决这一局限性。我们利用双谐波曲线对稀疏的 GPS 速度数据的水平分量进行独立插值,并通过改变泊松比对其进行耦合插值。在变形力学可以用弹性原理解释的情况下,这种方法是对稀疏矢量数据进行插值的有效手段。插值过程包括对输入数据进行趋势拟合、计算残差和分析。预测过程包括趋势和样条拟合阶段。我们将全球定位系统的水平速度插值到标准地理网格上,间隔时间为 30 分钟,排除了有明显偏差的数据点。数据分为训练和测试子集,训练集用于校准,测试集用于评估插值方法。我们的分析表明,地壳运动的空间分布不规则。速度场的北部分量始终指向欧亚大陆,且大于东部分量。北部分量的振幅自南向北和自西向东逐渐减小,显示了变形强度的变化。东部分量的方向发生了变化,在伊朗的西半部向西移动,在东半部向东移动,在北部的趋势相反。这种方向的变化凸显了碰撞区内固体块的存在。在碰撞带还观察到未变形区域、主要断层、汇聚变形和压缩高海拔区域。这些发现提供了阿拉伯-欧亚大陆碰撞带当今地壳变形的详细情况,加深了我们对碰撞过程的了解。
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引用次数: 0
The area of rhumb polygons 菱形多边形的面积
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-08-19 DOI: 10.1007/s11200-024-0709-z
Charles F. F. Karney

The formula for the area of a rhumb polygon, a polygon whose edges are rhumb lines on an ellipsoid of revolution, is derived and a method is given for computing the area accurately. This paper also points out that standard methods for computing rhumb lines give inaccurate results for nearly east- or west-going lines; this problem is remedied by the systematic use of divided differences.

本文推导了菱形多边形的面积公式,并给出了精确计算面积的方法。菱形多边形是指边缘为旋转椭圆体上的菱形线的多边形。本文还指出,对于近东或近西的直线,标准的计算方法得出的结果并不准确;这个问题可以通过系统地使用分差来解决。
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引用次数: 0
Effect of the 2021 Cumbre Vieja eruption on precipitable water vapor and atmospheric particles analysed using GNSS and remote sensing 利用全球导航卫星系统和遥感技术分析 2021 年坎布雷维埃哈火山爆发对可降水水汽和大气颗粒的影响
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-08-19 DOI: 10.1007/s11200-023-0241-6
Mokhamad Nur Cahyadi, Arizal Bawasir, Syachrul Arief, Amien Widodo, Eko Yuli Handoko, Putra Maulida, Saiful Aman Hj Sulaiman, Amir Sharifuddin Ab Latip, Zambri Harun

The eruption of Mount Cumbre Vieja, La Palma, Spain, on 19th September 2021 released large amounts of gas and volcanic ash into the atmosphere that spread over hundreds of kilometers. Subsequently, the volumes of gaseous, and water vapor components in the troposphere were highly disturbed. In general, the release of a large amount of water vapor during an eruption increases the value of path delay and vertical column density of SO2. Therefore, this study analyzed their variations to determine the impact of eruption. The precise point positioning on Global Navigation Satellite System (GNSS) observation data were processed to obtain zenith tropospheric delay (ZTD) and precipitable water vapor (PWV) contents, while Sentinel 5P, and MODIS remote sensing imagery were used to determine SO2 column density, aerosol index, and surface temperature. Moreover, time series and correlation analysis were computed to analyze the effect of the eruption and the relationship between GNSS and remote sensing parameters. Our findings showed that the variations in precipitable water vapor affected the ZTD value for three GNSS stations around the eruption point, showing a correlation value above 0.98. Meanwhile, the remote sensing data indicated that the SO2 content peaked at the end of September and in October 2021. Similarly, tropospheric delay, and water vapor had the highest fluctuations and increases in the early eruption period. However, the lower atmosphere layer was generally influenced by the autumn climate. The content of particles released into the atmosphere during eruption had minor effect in the middle to the end of the eruption period as rainfall events led to an increase in water vapor. The surface temperature was found to be characterized mostly by autumn condition but showed fluctuations and increased values in the early period of the eruption.

2021 年 9 月 19 日,西班牙拉帕尔马的坎布雷维埃哈火山喷发,释放出大量气体和火山灰进入大气层,并蔓延数百公里。随后,对流层中的气体和水蒸气成分的体积受到严重干扰。一般来说,火山爆发时释放的大量水汽会增加二氧化硫的路径延迟值和垂直柱密度。因此,本研究分析了它们的变化,以确定喷发的影响。通过对全球导航卫星系统(GNSS)观测数据的精确点定位处理,获得了天顶对流层延迟(ZTD)和可降水水汽含量(PWV),同时利用哨兵5P和MODIS遥感图像确定了二氧化硫柱密度、气溶胶指数和地表温度。此外,还计算了时间序列和相关分析,以分析火山爆发的影响以及全球导航卫星系统和遥感参数之间的关系。研究结果表明,可降水水汽的变化影响了喷发点周围三个全球导航卫星系统站的 ZTD 值,相关值在 0.98 以上。同时,遥感数据表明,二氧化硫含量在 2021 年 9 月底和 10 月达到峰值。同样,对流层延迟和水蒸气在喷发初期的波动和增加最大。然而,大气低层总体上受到秋季气候的影响。喷发期间释放到大气中的颗粒物含量在喷发期的中后期影响较小,因为降雨事件导致水汽增加。地表温度主要受秋季气候影响,但在喷发初期会出现波动和升高。
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引用次数: 0
Estimation of the minimal detectable horizontal acceleration of GNSS CORS 估算全球导航卫星系统 CORS 的最小可探测水平加速度
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-08-19 DOI: 10.1007/s11200-023-0646-2
Renan Rodrigues Toledo Costa, Ivandro Klein, Eliel Jessé Morais De Jesus Junior, Christian Gonzalo Pilapanta Amagua, Paulo Sergio De Oliveira Junior

Earth’s surface velocities are routinely extracted from Global Navigation Satellite System (GNSS) position time series. In addition to velocity estimates, acceleration may be a crucial parameter for modeling non-linear motion. Typically, a statistical hypothesis test is employed to evaluate the significance of the involved parameters and guide the selection of the appropriate model. In this contribution, we formulate a statistical test procedure from the generalized likelihood ratio test to analyze the significance of the acceleration in the model. The proposed procedure is compared with results obtained using the Akaike Information Criterion and Bayesian Information Criterion. Additionally, Minimal Detectable Horizontal Acceleration is provided as an indicator of the sensitivity of the acceleration detection. The GNSS time series of position estimates from the Nevada Geodetic Laboratory were used for this study. The experiments demonstrated a good agreement between the statistical test proposed and the information criteria approach. Therefore, the proposed statistical test may be another criterion to help the user in the important task of model selection.

地球表面速度通常是从全球导航卫星系统(GNSS)位置时间序列中提取的。除速度估计值外,加速度也可能是非线性运动建模的关键参数。通常情况下,采用统计假设检验来评估相关参数的重要性,并指导选择适当的模型。在本文中,我们从广义似然比检验中提出了一种统计检验程序,用于分析模型中加速度的显著性。建议的程序与使用 Akaike 信息准则和贝叶斯信息准则得出的结果进行了比较。此外,还提供了最小可检测水平加速度作为加速度检测灵敏度的指标。本研究使用了内华达大地测量实验室的全球导航卫星系统位置估计时间序列。实验结果表明,所提出的统计测试与信息标准方法之间具有良好的一致性。因此,提出的统计检验可能是帮助用户完成模型选择这一重要任务的另一个标准。
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引用次数: 0
Geophysical structure of a local area in the lunar Oceanus Procellarum region investigated using the gravity gradient method 利用重力梯度法研究月球前星际大洋区域局部地区的地球物理结构
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-08-19 DOI: 10.1007/s11200-024-0502-z
Shaofeng Bian, Zhourun Ye, Xinghui Liang, Lintao Liu, Jinzhao Liu

Compared to gravity method, the gravity gradient has multi-component advantages and can emphasize short wavelength features. By providing more detailed features in the image display, it could present a more accurate determination of the spatial distribution of the underling anomaly body. In our study, based on the gravity gradient data that was synthesized from the high-precision gravity model from Gravity Recovery and Interior Laboratory mission, we analyzed the tectonic structure of the Moon’s shallow layers in Oceanus Procellarum region. Bouguer anomalies of gravity gradient are used for geological boundary recognition and three-dimensional density inversion. Theta Map method is adopted for the edge identification of geological structures. It fully utilizes the characteristics of multi-components combination of gravity gradient to sharpen the boundaries identification of abnormal bodies. During the density inversion, in order to decrease the non-unique solution problem, the depth weight constraint is added to the inversion equation. Furthermore, the method of wavelet coefficient compression and Least Squares QR-decomposition is applied to accelerate the inverse calculation of large ill-conditioned equations. According to the result illustration, we found that: 1) The combination of gravity tensors has a strong boundary recognition ability in the horizontal direction. There is close consistency with the results of density inversion. 2) Our study supports the expansion and intrusion hypothesis of lunar magma in the research zone of Oceanus Procellarum, since the distribution of density tomography results at different depths is higher than the normal assumed crust density of the Moon in the majority of areas. Moreover, the intrusion source in our research area is concentrated at a direction depth of 30–45 km below the mean lunar radius surface approximately.

与重力法相比,重力梯度法具有多分量优势,并能突出短波长特征。在图像显示中提供更详细的特征,可以更准确地确定底层异常体的空间分布。在我们的研究中,根据重力恢复和内部实验室任务的高精度重力模型合成的重力梯度数据,我们分析了 Procellarum 海洋区域月球浅层的构造结构。重力梯度布格尔异常用于地质边界识别和三维密度反演。采用 Theta Map 方法进行地质结构边缘识别。它充分利用了重力梯度多分量组合的特点,使异常体的边界识别更加清晰。在密度反演过程中,为了减少非唯一解问题,在反演方程中加入了深度权重约束。此外,还采用了小波系数压缩和最小二乘 QR 分解的方法,以加速大型非条件方程的反演计算。根据结果说明,我们发现1) 重力张量组合在水平方向上具有很强的边界识别能力。与密度反演的结果密切吻合。2)由于密度层析成像结果在不同深度的分布在大部分区域都高于月球正常假定的地壳密度,我们的研究支持了临近星洋研究区月球岩浆膨胀和侵入假说。此外,我们研究区域的侵入源集中在平均月球半径表面以下约 30-45 千米的方向深度。
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引用次数: 0
Seismic effects at GPS stations: Case study of the 24 August 2016 Amatrice earthquake GPS 观测站的地震效应:2016 年 8 月 24 日阿马特里斯地震案例研究
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-06-08 DOI: 10.1007/s11200-023-0322-6
Ángel Cibeira Urtiaga, Manuel Berrocoso, Belén Rosado, Antonio Pazos

The seismic event of the 2016 Amatrice earthquake and its subsequent aftershocks have provided a significant opportunity to study seismic waves and their effects on the Apennine región, a very active seismic area. This research utilizes GPS data from three geodetic networks (ItalPos, NetGEO, and RING) to analyze the seismic waves generated by the earthquake, capturing seismic effects with great precision and resolution. By examining data from various GPS stations within the region, the study demonstrates the efficacy of GPS in providing detailed and accurate representations of ground motion. The study identifies co-seismic displacements and accelerations at monitoring stations by processing and analyzing GPS data, including precise point positioning strategies and wavelet adjustments. Moreover, a least squares adjustment method is employed to optimize the estimation of temporal parameters associated with seismic event detection across the spatial network of stations. The results obtained from GPS data are validated against seismic equipment, affirming their reliability in characterizing seismic events. Furthermore, the study elucidates the propagation of surface waves and path effects over the affected region, contributing to a comprehensive understanding of the earthquake impact. This research underscores the potential of GPS data as a valuable tool for rapid and precise characterization of seismic events, offering insights into ground motion dynamics and facilitating timely response and mitigation efforts.

2016 年阿玛特里斯地震及其后续余震事件为研究地震波及其对地震非常活跃的亚平宁地区的影响提供了一个重要机会。这项研究利用三个大地测量网络(ItalPos、NetGEO 和 RING)的 GPS 数据分析地震产生的地震波,以极高的精度和分辨率捕捉地震效应。通过研究该地区各全球定位系统站点的数据,该研究展示了全球定位系统在提供详细、准确的地面运动信息方面的功效。研究通过处理和分析 GPS 数据,包括精确的点定位策略和小波调整,确定了监测站的共震位移和加速度。此外,还采用了最小二乘法调整方法,以优化台站空间网络中与地震事件检测相关的时间参数估计。根据地震设备对全球定位系统数据得出的结果进行了验证,肯定了其在描述地震事件特征方面的可靠性。此外,该研究还阐明了面波在受影响地区的传播和路径效应,有助于全面了解地震的影响。这项研究强调了全球定位系统数据作为快速、精确描述地震事件特征的宝贵工具的潜力,提供了对地面运动动态的深入了解,有助于及时应对和减轻影响。
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引用次数: 0
A two-stage seismic data denoising network based on deep learning 基于深度学习的两级地震数据去噪网络
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-06-08 DOI: 10.1007/s11200-023-0320-8
Yan Zhang, Chi Zhang, Liwei Song

Seismic data with a high signal-to-noise ratio is beneficial in the inversion and interpretation. Thus, denoising is an indispensable step in the seismic data processing. Traditional denoising methods based on prior knowledge are susceptible to the influence of the hypothesis model and parameters. In contrast, deep learning-based denoising methods can extract deep features from the data autonomously and generate a sophisticated denoising model through adaptive learning. However, these methods generally learn a specific model for each noise level, which results in poor representation ability and suboptimal denoising efficacy when applied to seismic data with different noise levels. To address this issue, we propose a denoising method based on a two-stage convolutional neural network (TSCNN). The TSCNN comprises an estimation subnet (ES) and a denoising subnet (DS). The ES employs a multilayer CNN to estimate noise levels, and the DS performs noise suppression on noisy seismic data based on the ES estimation of the noise distribution. In addition, attention mechanisms are implemented in the proposed network to efficiently extract noise information hidden in complex backgrounds. The TSCNN also adopts the L1 loss function to enhance the generalization ability and denoising outcome of the model, and a residual learning scheme is utilized to solve the problem of network degradations. Experimental results demonstrate that the proposed method can preserve event features more accurately and outperforms existing methods in terms of signal-to-noise ratio and generalization ability.

信噪比高的地震数据有利于反演和解释。因此,去噪是地震数据处理中不可或缺的一步。传统的基于先验知识的去噪方法容易受到假设模型和参数的影响。相比之下,基于深度学习的去噪方法可以自主地从数据中提取深层特征,并通过自适应学习生成复杂的去噪模型。然而,这些方法通常会针对每种噪声水平学习特定的模型,这就导致在应用于不同噪声水平的地震数据时,表征能力较差,去噪效果不理想。为解决这一问题,我们提出了一种基于两级卷积神经网络(TSCNN)的去噪方法。TSCNN 包括一个估计子网 (ES) 和一个去噪子网 (DS)。ES 采用多层 CNN 估算噪声水平,DS 根据 ES 估算的噪声分布对噪声地震数据进行噪声抑制。此外,该网络还采用了注意力机制,以有效提取隐藏在复杂背景中的噪声信息。TSCNN 还采用 L1 损失函数来增强模型的泛化能力和去噪结果,并利用残差学习方案来解决网络退化问题。实验结果表明,所提出的方法能更准确地保留事件特征,在信噪比和泛化能力方面优于现有方法。
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引用次数: 0
Combined BiLSTM and ARIMA models in middle- and long-term polar motion prediction 中长期极地运动预测中的 BiLSTM 和 ARIMA 组合模型
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-04-08 DOI: 10.1007/s11200-023-0134-y
Kehao Yu, Haowei Shi, Mengqi Sun, Lihua Li, Shuhui Li, Honglei Yang, Erhu Wei

As one of the main components of the Earth orientation parameters, short-term prediction of the geodetic polar motion series is crucial in the field of deep-space exploration, high-precision positioning, and timing services, which require high real-time performance. Additionally, its middle- and long-term prediction is equally important in climate forecasting and geodynamics research. In this study, we propose the combined BiLSTM+ARIMA model, which is based on bidirectional long- and short-term memory (BiLSTM) and autoregression integrated moving average (ARIMA). First, ensemble empirical mode decomposition (EEMD) is performed as a filter to decompose the polar motion time series to obtain low- and high-frequency signals. The EOP14 C04 time series provided by International Earth Rotation and Reference Systems Service and decomposed by EEMD includes low-frequency signals like the long-term trend, decadal oscillation, Chandler wobble, and prograde annual wobble, along with shorter-period high-frequency signals. Second, low- and high-frequency signals are predicted using BiLSTM and ARIMA models, respectively. Finally, the low- and high-frequency signal forecast components are reconstructed to obtain geodetic polar motion predictions. In middle- and long-term polar motion prediction, the results show that the proposed model can improve the prediction accuracy by up to 42% and 17%, respectively. This demonstrated that the BiLSTM+ARIMA model can effectively improve the accuracy of polar motion prediction.

作为地球方位参数的主要组成部分之一,大地极运动序列的短期预测在对实时性要求较高的深空探测、高精度定位和授时服务领域至关重要。此外,其中长期预测在气候预报和地球动力学研究中同样重要。在本研究中,我们提出了基于双向长短期记忆(BiLSTM)和自回归积分移动平均(ARIMA)的 BiLSTM+ARIMA 组合模型。首先,将集合经验模式分解(EEMD)作为滤波器对极地运动时间序列进行分解,以获得低频和高频信号。由国际地球自转和参考系统服务机构提供并经 EEMD 分解的 EOP14 C04 时间序列包括长期趋势、十年振荡、钱德勒摆动和顺年摆动等低频信号,以及周期较短的高频信号。其次,分别使用 BiLSTM 和 ARIMA 模型预测低频和高频信号。最后,对低频和高频信号预测成分进行重构,以获得大地极地运动预测结果。结果表明,在中长期极地运动预测中,所提出的模型可将预测精度分别提高 42% 和 17%。这表明 BiLSTM+ARIMA 模型能有效提高极地运动预测的精度。
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引用次数: 0
Effect of water content and sodium sulfate concentration on the resistivity of red clay 含水量和硫酸钠浓度对红土电阻率的影响
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-04-08 DOI: 10.1007/s11200-023-0124-0
Yuan Xin, Qiang Sun, Tuo Lu, Huiyuan Bian, Ziyu Wang, Tao Luo

Red clay is widely distributed globally and is closely related to human production and life. The middle reaches of the Yellow River basin in China are characterized by complex geological structures, concentrated rainfall periods. The soluble salts such as sodium sulfate enter the red clay particles along with the infiltrating water, forming a red clay-like saline soil. In order to study the effects of water and salt on red clay soils, this paper uses red clay in the Heyang of Weinan with different ratios of distilled water (10–20%) and Na2SO4 (0–4%), and obtains the resistivity of red clay soils at different frequencies (100 Hz–100 kHz) using an inductance, capacitance and resistance digital bridge tester. The results show that the resistivity of red clay is negatively correlated with water and salt content. With the increase of water content, the increase of conductive paths in the pore water improved the electrical conductivity of the red clay; while when the concentration of Na2SO4 increased, the free moving anions and cations in the pore water increased, the electrical conduction efficiency increased and the resistivity decreased. The high frequency increased the conductivity of red clay by contributing to electrical double layer deformation, whereas the electrode polarization led to inhibition of conductivity under low frequency. A negative power exponential relationship exists between the resistivity of red clay and the test frequency. This study may provide a valuable reference for the rapid identification of the physical properties of red clay and its internal structure.

红土在全球分布广泛,与人类的生产和生活息息相关。中国黄河流域中游地区地质构造复杂,降雨时段集中。硫酸钠等可溶性盐分随着入渗水进入红粘土颗粒,形成红粘土状盐碱土。为了研究水和盐对红粘土的影响,本文以渭南合阳的红粘土为研究对象,加入不同比例的蒸馏水(10%-20%)和 Na2SO4(0%-4%),利用电感、电容和电阻数字电桥测试仪获得了红粘土在不同频率(100 Hz-100 kHz)下的电阻率。结果表明,红粘土的电阻率与含水量和含盐量呈负相关。随着含水量的增加,孔隙水中导电路径的增加提高了红土的导电率;而当 Na2SO4 浓度增加时,孔隙水中自由移动的阴阳离子增加,导电效率提高,电阻率降低。高频通过促进电双层变形来提高红粘土的导电率,而电极极化会抑制低频下的导电率。红粘土的电阻率与测试频率之间存在负幂指数关系。这项研究可为快速鉴定红粘土的物理性质及其内部结构提供有价值的参考。
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引用次数: 0
A comparative study over improved fast iterative shrinkage-thresholding algorithms: an application to seismic data reconstruction 改进的快速迭代收缩阈值算法比较研究:地震数据重建应用
IF 0.5 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-04-08 DOI: 10.1007/s11200-023-0113-0
Hamid Reza Khatami, Mohammad Ali Riahi, Mohammad Mahdi Abedi, Afshin Akbari Dehkhargani

Seismic data reconstruction is a crucial process involving the restoration of missing or corrupted traces to create a uniform dataset for subsequent data processing. Various factors such as equipment failures, and surface obstacles, result in irregularly located or corrupted traces. The absence of these traces can compromise the quality and accuracy of the resulting image. To address this issue, the Nonuniform Fast Fourier Transform (NUFFT) method is employed to reconstruct missing traces in datasets with non-uniformly sampled data. It works by interpolating the non-uniformly sampled data onto a regular grid, enabling the traditional Fast Fourier Transform application for data recovery. This interpolation process is adjusted using a kernel function to account for non-uniform sampling and reduce aliasing artifacts. The outcome is a collection of Fourier coefficients that can be utilized to reconstruct missing or incomplete parts of data. This problem is transformed into a linear constraint problem, which is efficiently solved using the Fast Iterative Shrinkage-Thresholding Algorithm (FISTA). In this study, we explore various techniques aimed at improving the convergence of FISTA, collectively referred to as improved FISTA methods. To validate the NUFFT+FISTA method for data reconstruction, we conducted numerical tests using 3D and 2D synthetic datasets, as well as field data. These tests show the advantages of the Greedy-FISTA in terms of convergence rate and affirm the accuracy of this approach in filling missing data traces.

地震数据重建是一个关键过程,涉及恢复缺失或损坏的地震道,为后续数据处理创建统一的数据集。设备故障和地表障碍物等各种因素会导致地震道位置不规则或损坏。这些痕迹的缺失会影响所生成图像的质量和精度。为解决这一问题,采用了非均匀快速傅里叶变换 (NUFFT) 方法来重建非均匀采样数据集中缺失的轨迹。它的工作原理是将非均匀采样数据插值到规则的网格上,使传统的快速傅里叶变换应用于数据恢复。这一插值过程使用核函数进行调整,以考虑非均匀采样并减少混叠伪影。结果是一组傅里叶系数,可用于重建数据的缺失或不完整部分。这个问题被转化为一个线性约束问题,使用快速迭代收缩阈值算法(FISTA)可以有效地解决这个问题。在本研究中,我们探索了旨在提高 FISTA 收敛性的各种技术,统称为改进的 FISTA 方法。为了验证用于数据重建的 NUFFT+FISTA 方法,我们使用三维和二维合成数据集以及现场数据进行了数值测试。这些测试表明了 Greedy-FISTA 在收敛速度方面的优势,并肯定了这种方法在填补缺失数据轨迹方面的准确性。
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引用次数: 0
期刊
Studia Geophysica et Geodaetica
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