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2-D cross-hole electromagnetic inversion algorithms based on regularization algorithms 基于正则化算法的二维井间电磁反演算法
IF 1.4 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2023-09-04 DOI: 10.1093/jge/gxad064
Xiaocui Li, Ligang Cao, Hui Cao, Tongbiao Wei, Lei Liu, Xingtao Yang
The cross-hole electromagnetic (EM) method, which is currently at the forefront of electric logging technology, fundamentally solves the problems of the lateral imaging ability of single well logging and the lack of detection of inter-well physical properties. However, due to the complexity of underground reservoir distribution and the non-uniqueness problem of geophysical inversion, there remains a lack of practical and effective cross-hole electromagnetic inversion methods. Our goal is to develop an efficient method to reduce the non-uniqueness of the physical property model recovered in the inversion. It is worth noting that the regularization algorithm (RA), as a means to approximately solve inversion problems, can obtain different solutions by changing the form of the regularization function, so as to ensure the stability of inversion results and conform to the smooth or non-smooth characteristics in known geology or geophysics. We adjust the features of the final inversion model in a defined framework by changing the values of the $alpha $coefficient in the regularization and using the Lawson norm as a ${l}_p$-norm approximation form for $p in [ {0,2} ]$. At the same time, the iteratively reweighted least squares method is used to solve the optimization problem, and the gradient in the Gauss-Newton solution is adjusted successively to ensure that every term in the regularization contributes to the final solution. Compared with the traditional ${l}_2$-norm inversion method, the sparse inversion method can make more effective use of information regarding known physical properties and obtain better inversion results. Then, the effectiveness of our inversion method is verified by model tests and inversion of measured data in a mining area.
目前处于电测井技术前沿的井间电磁法,从根本上解决了单井测井横向成像能力差、井间物性检测不到位的问题。然而,由于地下储层分布的复杂性和地球物理反演的非唯一性问题,目前还缺乏实用有效的井间电磁反演方法。我们的目标是开发一种有效的方法来减少反演中恢复的物理性质模型的非唯一性。值得注意的是,正则化算法(RA)作为近似求解反演问题的一种手段,可以通过改变正则化函数的形式来获得不同的解,从而保证反演结果的稳定性,符合已知地质或地球物理中的光滑或不光滑特征。我们通过改变正则化中$alpha$系数的值,并使用Lawson范数作为${l}_p$pin[{0,2}]$的$norm近似形式。同时,使用迭代重加权最小二乘法求解优化问题,并依次调整高斯-牛顿解中的梯度,以确保正则化中的每一项都有助于最终解。与传统${l}_2$范数反演方法,稀疏反演方法可以更有效地利用已知物理性质的信息,获得更好的反演结果。然后,通过模型试验和某矿区实测数据的反演,验证了反演方法的有效性。
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引用次数: 0
Robust Seismic Attenuation Compensation Based on Generalized Minimax Concave Penalty Sparse Representation 基于广义极大极小凹惩罚稀疏表示的鲁棒地震衰减补偿
3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2023-09-02 DOI: 10.1093/jge/gxad066
Chengxiang Duan, Fanchang Zhang
Abstract Deep hydrocarbon resources have become more and more important nowadays. However, owing to the affection of long-distance propagation and stratigraphic absorption, seismic data coming from deep beds generally suffer from weak energy, low resolution, and low signal-to-noise ratio (SNR), which seriously influence the reliability of seismic interpretation. Generally, inverse Q (quality factor) filtering (IQF) is used for absorption compensation, but it may amplify noise at the same time. Although compensation methods based on inversion overcomes the instability, it is still difficult to obtain high-SNR results. To address this issue, under the framework of sparse representation theory, we proposed a single-channel attenuation compensation method constrained by generalized minimax concave (GMC) penalty function. It takes the modified Kolsky model to describe seismic absorption and combines sparse representation theory to create objective function. Furthermore, a GMC penalty function is utilized to promote sparsity. It allows more accurate estimates of sparse coefficients from noise-contaminated seismic data. Although the GMC penalty itself is concave, the objective function remains strictly convex. Therefore, globally optimal sparse solutions can be obtained through an operator-splitting algorithm. Even in the presence of noise, this method can obtain stable and accurate compensation results through reconstruction. Synthetic data tests and field seismic data application showed that this method has high robustness to noise. It can stably and effectively compensate for the energy loss of seismic data, as well as maintain high SNR.
摘要深层油气资源越来越受到人们的重视。然而,由于受长距离传播和地层吸收的影响,深层地震资料普遍存在能量弱、分辨率低、信噪比低等问题,严重影响了地震解释的可靠性。一般采用逆Q (quality factor)滤波(IQF)进行吸收补偿,但同时也会放大噪声。虽然基于反演的补偿方法克服了不稳定性,但仍然难以获得高信噪比的结果。针对这一问题,在稀疏表示理论框架下,提出了一种基于广义极大极小凹惩罚函数约束的单通道衰减补偿方法。采用改进的Kolsky模型描述地震吸收,结合稀疏表示理论建立目标函数。此外,利用GMC惩罚函数来提高稀疏性。它可以从受噪声污染的地震数据中更准确地估计稀疏系数。尽管GMC惩罚本身是凹的,但目标函数仍然是严格凸的。因此,可以通过算子分裂算法获得全局最优稀疏解。即使在存在噪声的情况下,该方法也能通过重构得到稳定、准确的补偿结果。综合数据测试和现场地震资料应用表明,该方法对噪声具有较高的鲁棒性。它可以稳定有效地补偿地震资料的能量损失,同时保持较高的信噪比。
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引用次数: 0
A method for modeling DC potential fields in charged lossy dielectric media 带电有损介质中直流势场的建模方法
3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2023-09-02 DOI: 10.1093/jge/gxad065
Jinghe Li, Zhanxiang He, Hanying Bai
Abstract Numerical modeling of the direct current (DC) potential field for the mise-a-la-masse (MALM) method traditionally depends on the specific source under loss-free dielectric consideration. In this paper, we propose a numerical technique for modeling DC potential fields in charged lossy dielectric media. A numerical solver of charged current transportation is first presented using finite different method, then the DC potential is integrated from all unit current elements with the Legendre function polynomial. A new preconditioner is also proposed for MALM surveying to reduce the condition number to accurately solve the equation. This new technique is verified through comparisons with numerical cases and field surveys. The basic problem formulation is general, but it is directly applicable in MALM surveying as a geophysical technique where the DC potential produced by charged lossy dielectric media is of interest.
摘要:传统的MALM方法的直流(DC)势场数值模拟依赖于考虑无介电损耗的特定源。本文提出了一种模拟带电有损介质中直流势场的数值方法。首先用有限差分法给出了带电电流输运的数值解,然后用勒让德函数多项式对各单位电流元的直流电势进行积分。提出了一种新的MALM测量前置条件,以减少条件数,从而精确求解方程。通过数值算例和现场调查对比,验证了该方法的有效性。基本问题的表述是一般的,但它直接适用于MALM测量,作为一种地球物理技术,其中感兴趣的是带电有损介质产生的直流电势。
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引用次数: 0
Fitness landscape analysis for seismic history matching problems of subsurface reservoirs 地下储层地震史匹配问题的适合度景观分析
3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2023-09-01 DOI: 10.1093/jge/gxad062
Paul Mitchell, Romain Chassagne
Abstract Despite over twenty years of research, assisted seismic history matching (ASHM) remains a challenging problem for the energy industry. ASHM is an optimisation problem to find the best subsurface reservoir model for robust predictions of field performance. The results are typically assessed by a decreasing misfit between simulated and observed data, but the optimised models are often inaccurate, uncertain, and non-unique. In this paper, we take a fresh look at ASHM and view it from the perspective of the fitness landscape, or search space. We propose that characterising the fitness landscape will lead to a deeper understanding of the problem, greater confidence in the optimised models, and a better appreciation of the uncertainties. Fitness landscape analysis (FLA) is established in other fields, but has mostly been applied to combinatorial problems or continuous problems with analytical solutions. In contrast, ASHM is a real-world, ill-posed, inverse problem, which is computationally expensive and contains data errors and model uncertainties. We introduce a new method for FLA that provides intuitive information on the setup of the problem. It uses multidimensional clustering and visualisation to explore the structure of the landscape and detects the presence and relative magnitude of data errors, which are typical of real data. It is applied to a synthetic, full-field, reservoir model and the results are compared with another more-established method. We found that the fitness landscapes of ASHM problems are low-lying plateaus with many minima, which makes it difficult to solve ASHM problems for real-world datasets.
尽管进行了20多年的研究,但对于能源行业来说,辅助地震历史匹配(ASHM)仍然是一个具有挑战性的问题。ASHM是一个优化问题,旨在找到最佳的地下油藏模型,以实现对油田动态的稳健预测。结果通常是通过模拟数据和观测数据之间的不拟合减小来评估的,但是优化的模型通常是不准确的、不确定的和非唯一的。在本文中,我们重新审视ASHM,并从健身景观或搜索空间的角度来看待它。我们提出,刻画健身景观将导致对问题的更深入理解,对优化模型的更大信心,以及对不确定性的更好理解。适应度景观分析(FLA)在其他领域也有建立,但大多应用于组合问题或具有解析解的连续问题。相反,ASHM是一个现实世界的、不适定的逆问题,它的计算成本很高,并且包含数据误差和模型不确定性。我们介绍了一种新的FLA方法,它提供了关于问题设置的直观信息。它使用多维聚类和可视化来探索景观的结构,并检测数据错误的存在和相对大小,这是真实数据的典型特征。将其应用于一个综合的全油田油藏模型,并与另一种更成熟的方法进行了比较。我们发现,ASHM问题的适应度景观是具有许多最小值的低洼高原,这使得解决现实数据集的ASHM问题变得困难。
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引用次数: 0
Porosity prediction from prestack seismic data via deep learning: Incorporating low-frequency porosity model 通过深度学习从叠前地震数据中预测孔隙度:结合低频孔隙度模型
IF 1.4 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2023-09-01 DOI: 10.1093/jge/gxad063
Jingyu Liu, Luanxiao Zhao, Minghui Xu, Xiangyuan Zhao, Yuchun You, J. Geng
Porosity prediction from seismic data is of considerable importance in reservoir quality assessment, geological model building, and flow unit delineation. Deep learning approaches have demonstrated great potential in reservoir characterization due to their strong feature extraction and nonlinear relationship mapping abilities. However, the reliability of porosity prediction is often compromised by the lack of low-frequency information in bandlimited seismic data. To address this issue, we propose incorporating a low-frequency porosity model based on geostatistical methodology, into the supervised convolutional neural network to predict porosity from prestack seismic angle gather and seismic inversion results. Our study demonstrates that the inclusion of the low-frequency porosity model significantly improves the reliability of porosity predictions in a heterogeneous carbonate reservoir. The low-frequency information can be compensated to enhance the network's capabilities of capturing the background porosity trend. Additionally, the blind well tests validate that considering the low-frequency constraint leads to stronger model prediction and generalization abilities, with the root mean square error (RMSE) of the two blind wells reduced by up to 34%. The incorporation of the low-frequency reservoir model in network training also remarkably enhances the geological continuity of seismic porosity prediction, providing more geologically reasonable results for reservoir characterization.
地震资料孔隙度预测在储层质量评价、地质模型建立和流动单元划分中具有重要意义。深度学习方法由于其强大的特征提取和非线性关系映射能力,在储层表征方面显示出巨大的潜力。然而,在频带有限的地震数据中,由于缺乏低频信息,孔隙度预测的可靠性往往受到损害。为了解决这个问题,我们建议将基于地质统计学方法的低频孔隙度模型纳入监督卷积神经网络,以根据叠前地震角度采集和地震反演结果预测孔隙度。我们的研究表明,低频孔隙度模型的加入显著提高了非均质碳酸盐岩储层孔隙度预测的可靠性。低频信息可以得到补偿,以增强网络捕捉背景孔隙度趋势的能力。此外,盲井测试验证了考虑低频约束可以增强模型预测和泛化能力,两口盲井的均方根误差(RMSE)降低了34%。将低频储层模型纳入网络训练中,也显著增强了地震孔隙度预测的地质连续性,为储层表征提供了更合理的地质结果。
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引用次数: 0
Graphical neural networks based on physical information constraints for solving the eikonal equation 基于物理信息约束的图形神经网络求解eikonal方程
IF 1.4 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2023-08-25 DOI: 10.1093/jge/gxad061
Kai Zhan, Xiaotao Wen, Xuben Wang, Ping Song, Chao Kong, Atao Li
Accurate temporal resolution of the eikonal equation forms the cornerstone of seismological studies, including microseismic source localization and traveltime tomography. Physics Informed Neural Networks (PINNs) has gained significant attention as an efficient approximation technique for numerical computations. In this study, we put forth a novel model named Eiko-PIGCNet, a Graph Convolutional Neural Network that incorporates physical constraints. We demonstrate the effectiveness of our proposed model in solving the 3D eikonal equation for travel time estimation. In our approach, the discretized grid points are converted into a graph data structure, where every grid point is regarded as a node, and the neighboring nodes are interconnected via edges. The node characteristics are defined by incorporating the velocity and spatial coordinates of the respective grid points. Ultimately, the efficacy of the Eiko-PIGCNet and PINNs is evaluated and compared under various velocity models. The results reveal that Eiko-PIGCNet outshines PINNs in terms of solution accuracy and computational efficiency.
eikonal方程的精确时间分辨率构成了地震学研究的基石,包括微震震源定位和走时断层扫描。物理知情神经网络(PINNs)作为一种有效的数值计算近似技术,受到了广泛的关注。在这项研究中,我们提出了一个名为Eiko PIGCNet的新模型,这是一个包含物理约束的图卷积神经网络。我们证明了我们提出的模型在求解旅行时间估计的三维eikonal方程方面的有效性。在我们的方法中,将离散的网格点转换为图形数据结构,其中每个网格点都被视为一个节点,相邻节点通过边互连。节点特征是通过结合各个网格点的速度和空间坐标来定义的。最后,在各种速度模型下对Eiko PIGCNet和PINN的疗效进行了评估和比较。结果表明,Eiko PIGCNet在求解精度和计算效率方面优于PINN。
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引用次数: 0
Experimental research on the instability characteristics of the overlying strata structure that characterizes shallow interval goaf mining 浅间隔采空区开采覆岩结构失稳特征试验研究
IF 1.4 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2023-08-23 DOI: 10.1093/jge/gxad048
Bin Wang, Jie Zhang, Xiao Hua Qi, Tong Li, Shou Shi Gao, Li Wang
Here, we analyze the instability characteristics of the overlying strata structure that characterize shallow-depth seams under insufficient goaf in Yushenfu mining area. To simulate the No. 20107 longwall interval working face situated in Nanliang Coal Mine, physical simulation, an acoustic emission (AE) monitoring system, a stress acquisition system and a total station were used. The results indicate that during interval goaf formation, which is correlated with mining, the immediate roof collapses, and the main roof strata remains stable. Gradually, the stress that acts on the temporary coal pillar (TCP) gradually exhibits the ‘uniform increase–accelerated increase catastrophe instability’ change characteristics. Due to the concentrated load of the overlying strata, the bearing capacity of the TCP gradually deteriorates until the catastrophic instability occurs, and the unstable roof strata forms a ‘W-shaped voussoir beam’ structure. The research results provide evidence for the strata control that is associated with shallow-seam mining.
本文对玉神府矿区采空区不足条件下浅埋煤层上覆地层结构失稳特征进行了分析。采用物理模拟、声发射监测系统、应力采集系统和全站仪对南梁煤矿20107号长壁工作面进行了数值模拟。结果表明:在与开采相关的区间采空区形成过程中,直接顶板垮落,主顶板地层保持稳定;作用于临时煤柱(TCP)上的应力逐渐呈现出“均匀增大-加速增大突变失稳”的变化特征。由于上覆岩层的集中荷载,TCP的承载能力逐渐退化,直至发生突变失稳,失稳顶板岩层形成“w形墩梁”结构。研究结果为浅煤层开采的地层控制提供了依据。
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引用次数: 0
A novel wavefield reconstruction method using sparse representation and dictionary learning for RTM 一种基于稀疏表示和字典学习的RTM波场重建方法
IF 1.4 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2023-08-10 DOI: 10.1093/jge/gxad059
Chunyang Pei, Shi Linge, Shiheng Li, Xiaohua Zhou, Long Yun, Zubin Chen
Reverse-time migration (RTM) is a well-established imaging technique that utilizes the two-way wave equation to achieve high-resolution imaging of complex subsurface media. However, when using RTM for reverse time extrapolation, a source wavefield needs to be stored for cross-correlation with the backward wavefield. This requirement results in a significant storage burden on computer memory. This paper introduces a wavefield reconstruction method that combines sparse representation to compress a substantial amount of crucial information in the source wavefield. The method utilizes the K-SVD algorithm to train an adaptive dictionary, learned from a training dataset consisting of wavefield image patches. For each timestep, the source wavefield is divided into image patches, which are then transformed into a series of sparse coefficients using the trained dictionary via the batch-OMP algorithm, known for its accelerated sparse coding process. This novel method essentially attempts to transform the wavefield domain into the sparse domain to reduce the storage burden. We utilized several evaluation metrics to explore the impact of parameters on performance. We conducted numerical experiments using acoustic RTM and compared two RTM methods employing checkpointing techniques with two strategies from our proposed method. Additionally, we extended the application of our method to elastic RTM. The conducted tests demonstrate that the method proposed in this paper can efficiently compress wavefield data, while considering both computational efficiency and reconstruction accuracy.
逆时偏移(RTM)是一种成熟的成像技术,它利用双向波动方程来实现复杂地下介质的高分辨率成像。然而,当使用RTM进行反向时间外推时,需要存储源波场以用于与反向波场的互相关。这一要求给计算机内存带来了巨大的存储负担。本文介绍了一种波场重建方法,该方法结合稀疏表示来压缩源波场中大量的关键信息。该方法利用K-SVD算法来训练自适应字典,该字典是从由波场图像块组成的训练数据集中学习的。对于每个时间步长,源波场被划分为图像块,然后通过批量OMP算法使用训练的字典将其转换为一系列稀疏系数,该算法以其加速的稀疏编码过程而闻名。这种新方法本质上试图将波场域转换为稀疏域,以减少存储负担。我们使用了几个评估指标来探讨参数对性能的影响。我们使用声学RTM进行了数值实验,并将使用检查点技术的两种RTM方法与我们提出的方法中的两种策略进行了比较。此外,我们还将我们的方法扩展到弹性RTM中。测试表明,本文提出的方法可以有效地压缩波场数据,同时考虑了计算效率和重建精度。
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引用次数: 0
Parameter interpretations of wave dispersion and attenuation in rock physics based on deep neural network 基于深度神经网络的岩石物理波频散与衰减参数解释
IF 1.4 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2023-08-10 DOI: 10.1093/jge/gxad058
Bochen Wang, Jiawei Liu, Zhenwei Guo
Acoustic wave features, including the velocity dispersion and attenuation, induced by fluid flow in porous media have attracted significant attention in reservoir exploration. To enhance the quantitative understanding of these features, various wave propagation mechanisms have been developed. It has been discovered that wave dispersion and attenuation are associated with multiple reservoir parameters, each with different sensitivity. It is difficult to distinguish the impacts of individual physical parameter on acoustic features by the traditional wave equations. Considering the ability of deep neural networks (DNNs) in establishing the relationships between two datasets, a fully connected DNN has been employed as a surrogate rock physics model, and the Shapley Additive exPlanations model (SHAP) based on this DNN has been introduced to evaluate the contributions of different parameters. In this study, the classic White model is utilized to generate datasets for training the DNN. Datasets include seven parameters (bulk modulus, shear modulus, and density of the solid matrix, frequency, porosity, fluid saturation, and permeability), along with velocity dispersion and attenuation. By embedding SHAP into the trained DNN, the presented ShaRock algorithm allows for a clear quantification of the contributions of various reservoir parameters to acoustic features. Furthermore, we analyse the underlying interactions between two parameters by utilizing their combined quantified contributions to the features. The application of this proposed algorithm, which is based on wave propagation mechanisms, demonstrates its potential in providing valuable insights for parameter inversions in hydrocarbon exploration.
孔隙介质中流体流动引起的声波特征,包括速度的频散和衰减,在油藏勘探中引起了广泛的关注。为了加强对这些特征的定量理解,人们发展了各种波的传播机制。研究发现,波的频散和衰减与多个储层参数有关,每个参数具有不同的灵敏度。传统的波动方程难以区分单个物理参数对声学特征的影响。考虑到深度神经网络(DNN)建立两个数据集之间关系的能力,采用全连接DNN作为替代岩石物理模型,并引入基于该DNN的Shapley加性解释模型(SHAP)来评估不同参数的贡献。在本研究中,使用经典White模型生成用于训练深度神经网络的数据集。数据集包括7个参数(体积模量、剪切模量、固体基质密度、频率、孔隙度、流体饱和度和渗透率),以及速度弥散和衰减。通过将SHAP嵌入到训练好的DNN中,所提出的ShaRock算法可以清楚地量化各种油藏参数对声学特征的贡献。此外,我们通过利用它们对特征的组合量化贡献来分析两个参数之间的潜在相互作用。该算法基于波的传播机制,其应用证明了其为油气勘探中的参数反演提供宝贵见解的潜力。
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引用次数: 0
Micro-seismic monitoring using sparse planar array and a weak signal enhancement method 基于稀疏平面阵列和弱信号增强方法的微地震监测
IF 1.4 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2023-08-10 DOI: 10.1093/jge/gxad060
Xiaohui Yang, Zhengliang Lin, Xinchao Yang, Zhanguo Chen, Wenpeng Si
Traditional ground micro-seismic monitoring is performed by laying long survey lines. This is expensive and difficult to implement in complex mountainous areas and deep marine shale gas reservoirs in China. To address these challenges, this study has proposed a ground micro-seismic monitoring method using a sparse planar array that offers greater flexibility in implementation. This study has presented a weak signal enhancement method based on a broadband array adaptive beamforming algorithm to improve the signal-to-noise ratio (SNR) of micro-seismic data collected by sparse planar arrays and to suppress coherent noise. The proposed method involves establishing a signal model for a broadband planar array, estimating the direction of arrival (DOA) of broadband signals using a grid search method, and setting constraint conditions and objective functions based on the DOA results. The optimal weight vector is then calculated by solving the objective function to obtain the desired signal and suppress noise. This study has demonstrated that the proposed method effectively improved the SNR and suppressed coherent noise in synthetic and real data. It has also highlighted the effectiveness of the sparse planar array as a ground micro-seismic monitoring method and the adaptive broadband beamforming method as a practical weak signal enhancement technology.
传统的地面微地震监测是通过铺设长测线来进行的。这在中国复杂的山区和深海页岩气藏中是昂贵且难以实施的。为了应对这些挑战,本研究提出了一种使用稀疏平面阵列的地面微地震监测方法,该方法在实施中提供了更大的灵活性。本文提出了一种基于宽带阵列自适应波束形成算法的弱信号增强方法,以提高稀疏平面阵列采集的微地震数据的信噪比,抑制相干噪声。所提出的方法包括建立宽带平面阵列的信号模型,使用网格搜索方法估计宽带信号的到达方向(DOA),并根据DOA结果设置约束条件和目标函数。然后通过求解目标函数来计算最优权重向量,以获得期望的信号并抑制噪声。研究表明,该方法有效地提高了合成数据和真实数据的信噪比,抑制了相干噪声。它还强调了稀疏平面阵列作为地面微地震监测方法和自适应宽带波束形成方法作为一种实用的弱信号增强技术的有效性。
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引用次数: 0
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