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Stable and efficient seismic impedance inversion using quantum annealing with L1 norm regularization 利用量子退火与 L1 规范正则化实现稳定高效的地震阻抗反演
IF 1.4 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-01-16 DOI: 10.1093/jge/gxae003
Silin Wang, Cai Liu, Peng Li, Changle Chen, Chao Song
Seismic impedance inversion makes a significant contribution to locating hydrocarbons and interpreting seismic data. However, it suffers from non-unique solutions, and a direct linear inversion produces large errors. Global optimization methods, like simulated annealing, have been applied in seismic impedance inversion and achieved promising inversion results. Over the past decades, there has been an increasing interest in quantum computing. Due to its natural parallelism, quantum computing has a powerful computational capability and certain advantages in solving complex inverse problems. Within this article, we present a stable and efficient impedance inversion using quantum annealing with L1 norm regularization, which significantly improves the inversion accuracy compared to the traditional simulated annealing method. Tests on a one-dimensional ten-layer model with noisy data demonstrate that the new method exhibits significantly improved accuracy and stability. Additionally, we perform seismic impedance inversion for synthetic data from the Overthrust model and field data using two methods. These results demonstrate that the quantum annealing impedance inversion with L1 norm regularization dramatically enhances the accuracy and anti-noise ability.
地震阻抗反演在确定碳氢化合物位置和解释地震数据方面做出了重大贡献。然而,它存在解不唯一的问题,直接线性反演会产生较大误差。模拟退火等全局优化方法已被应用于地震阻抗反演,并取得了良好的反演效果。过去几十年来,人们对量子计算的兴趣与日俱增。由于其天然的并行性,量子计算具有强大的计算能力,在解决复杂反演问题方面具有一定的优势。在这篇文章中,我们提出了一种利用量子退火与 L1 规范正则化的稳定而高效的阻抗反演方法,与传统的模拟退火方法相比,该方法显著提高了反演精度。对一维十层模型和噪声数据的测试表明,新方法的准确性和稳定性都有显著提高。此外,我们还使用两种方法对来自 Overthrust 模型的合成数据和现场数据进行了地震阻抗反演。这些结果表明,采用 L1 规范正则化的量子退火阻抗反演极大地提高了准确性和抗噪声能力。
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引用次数: 0
The bitumen development effect on the pore structure and electrical resistivity of carbonate reservoirs in Sinian Dengying Formation 沥青开发对新安邓营地层碳酸盐岩储层孔隙结构和电阻率的影响
IF 1.4 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-01-16 DOI: 10.1093/jge/gxae008
Yuyu Wu, Qiang Lai, Haitao Wang, Rong Yin, Zeyu Wang, Li Chen, Fuqiang Lai
In the Sichuan Basin, bitumen widely distributes in the carbonate reservoir, and the bitumen occurrence morphology affects the pore structure and petrophysics. Two types of bitumen, boundary-filled and centre-filled, were reconstructed using a pore morphology-based method based on dolomite carbonate digital cores from X-ray computerised tomography. The pore structures of the reconstructed bitumen-filled digital core models were determined using an extracted pore network model. The finite element method simulates the electrical resistivity of the digital core model. The investigation shows that (1) boundary-developed bitumen increases the pore size whereas centre-developed bitumen decreases the pore size, and bitumen development increases the shape factor while reducing the coordination number; (2) for electrical resistivity, boundary-filled bitumen increases the porosity exponent with increasing pore size, whereas centre-filled bitumen decreases the porosity exponent. Bitumen development caused a negative correlation between the porosity exponent and pore shape factor, a logarithmic increase between the porosity exponent and coordination number, and a power increase between the porosity exponent and porosity. Subsequently, a new porosity exponent model related to porosity is proposed based on the curve-fitting method. This new porosity exponent combines the Archie equations to calculate the saturation of the carbonate reservoir in the Sinian Dengying Formation in the Penglai gas area on the northern slope of the central Sichuan paleo-uplift, which fits the sealed core plug saturation well and provides the basis for further reservoir evaluation and fluid identification in the Penglai gas area.
在四川盆地,沥青广泛分布于碳酸盐岩储层中,沥青的赋存形态影响着孔隙结构和岩石物理。基于 X 射线计算机断层扫描的白云质碳酸盐岩数字岩心,采用基于孔隙形态的方法重建了边界充填和中心充填两种类型的沥青。利用提取的孔隙网络模型确定了重建的沥青填充数字岩心模型的孔隙结构。有限元法模拟了数字岩心模型的电阻率。研究表明:(1) 边界发育的沥青增加了孔隙尺寸,而中心发育的沥青减小了孔隙尺寸,沥青发育增加了形状系数,同时降低了配位数;(2) 对于电阻率,边界填充的沥青随着孔隙尺寸的增加而增加孔隙度指数,而中心填充的沥青则降低孔隙度指数。沥青的发展导致孔隙度指数与孔隙形状系数之间呈负相关,孔隙度指数与配位数之间呈对数增长,孔隙度指数与孔隙度之间呈幂增长。随后,基于曲线拟合方法,提出了与孔隙度相关的新孔隙度指数模型。这一新的孔隙度指数结合阿奇方程,计算出了川中古隆起北坡蓬莱气区中年登瀛层碳酸盐岩储层的饱和度,很好地拟合了密封岩心塞饱和度,为蓬莱气区进一步的储层评价和流体识别提供了依据。
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引用次数: 0
Excitation time imaging condition reverse time migration based on physics-informed neural network traveltime calculation with wavefield decomposition using optical flow vector 基于物理信息神经网络的激发时间成像条件反向时间迁移,利用光流矢量进行波场分解的行进时间计算
IF 1.4 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-01-10 DOI: 10.1093/jge/gxad106
Jian Li, Guoning Du, Dewen Qin, Wensun Yin, Jun Tan, Zhaolun Liu, Peng Song
Although the excitation-time imaging condition offers a lower memory consumption and higher computational efficiency compared to cross-correlation imaging condition, it has not been widely used in industrial applications because of the accuracy problem of traveltime calculation and the influence of low-wave-number noise. In this paper, we introduce the physics-informed neural network (PINN) algorithm to achieve a high-precision traveltime calculation of the source forward wavefield. Subsequently, we introduce a technique for high-precision wavefield decomposition of the reverse-time wavefield via the optical flow vector, enabling us to realize a correlation-weighted stacking imaging of each wavefield. Model experiments and real data processing show that the proposed traveltime calculation algorithm based on PINN offers high accuracy and good applicability in the excitation time reverse-time migration imaging of complex models, and correlation-weighted stacking imaging based on optical flow vector-based wavefield separation can significantly suppress the noise with low wavenumber and achieve high-precision imaging of complex models.
虽然与交叉相关成像条件相比,激发时间成像条件具有更低的内存消耗和更高的计算效率,但由于其旅行时间计算的精度问题和低波数噪声的影响,在工业应用中尚未得到广泛应用。本文介绍了物理信息神经网络(PINN)算法,以实现对源前向波场的高精度旅行时间计算。随后,我们介绍了一种通过光流矢量对反向时间波场进行高精度波场分解的技术,从而实现了每个波场的相关加权叠加成像。模型实验和实际数据处理表明,所提出的基于 PINN 的旅行时间计算算法在复杂模型的激发时间反向时间迁移成像中具有较高的精度和良好的适用性,而基于光流矢量波场分离的相关加权叠加成像可以显著抑制低波数噪声,实现复杂模型的高精度成像。
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引用次数: 0
Instability mechanism of overlying strata in shallow interval goaf and structural model of “W-shaped voussoir beam” 浅层间山包上覆地层的失稳机理及 "W 型穹窿梁 "结构模型
IF 1.4 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-01-10 DOI: 10.1093/jge/gxae004
Bin Wang, Jie Zhang, Haifei Lin, Jiangfei Duan, Guangliang Li, Qingsong Zhuo, Jianjun Wu, Yifeng He, Shoushi Gao
In order to study the failure mechanism of overlying strata (OS) in shallow insufficient mining areas, with a combination of such research approaches as field investigation, theoretical analysis, similarity simulation, and numerical simulation, this paper has studied the temporal and spatial evolution of the failure mechanism of overlying stratum structure in a shallow-buried interval goaf. The results show that the creep failure of temporary coal pillar (TCP) in the interval goaf is a primary reason for the failure of the basic roof. With the failure of the basic roof, stress arches in the OS of the mining section become unstable, which expands the damage range of the overlying strata. Consequently, adjacent stress arches overlap with each other, forming a ‘trapezoidal—semi-elliptical arch’ collapse shape. Thick soil layers gradually collapse to the ground surface, and the overlying strata collapse as a whole into a trapezoid-like shape. Rotary failure appears in the basic roof of mining section, forming a ‘W-shaped voussoir beam’ hinge structure. In this study, a structural model of ‘W-shaped voussoir beam’ in the OS has been established, and the mechanical characteristics of rock blocks in the basic roof of overlying strata during different mining stages of the interval goaf have been analyzed. Also, with a discrete element UDEC program, this study has performed a simulation to verify the rationality of the ‘W-shaped voussoir beam’ structural model of overlying stratum movement in the shallowly-buried interval mining section.
为了研究浅埋不足采空区上覆地层(OS)的破坏机理,本文结合现场调查、理论分析、相似性模拟、数值模拟等研究方法,对浅埋区间煤层上覆地层结构破坏机理的时空演化进行了研究。结果表明,间隔煤层中临时煤柱(TCP)的蠕变破坏是基本顶板破坏的主要原因。随着基本顶板的破坏,采空区的应力拱变得不稳定,从而扩大了上覆地层的破坏范围。因此,相邻的应力拱相互重叠,形成 "梯形-半椭圆形拱 "的塌陷形状。厚土层逐渐坍塌至地表,上覆地层整体坍塌成梯形。采矿断面的基本顶板出现旋转破坏,形成 "W 形伏梁式 "铰链结构。本研究建立了操作系统中的 "W 型穹窿梁 "结构模型,并分析了不同开采阶段区间地层上覆地层基本顶板岩块的力学特征。本研究还利用离散元 UDEC 程序进行了模拟,验证了 "W 形伏索梁 "结构模型在浅埋区间采矿段上覆地层运动的合理性。
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引用次数: 0
High-order Azimuth Coherent Imaging for Microseismic Location 用于微地震定位的高阶方位相干成像
IF 1.4 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2024-01-05 DOI: 10.1093/jge/gxae001
Ying Shi, Xuebao Guo, Youqiang Yu
The cross-correlation-based methods, widely used for microseismic monitoring, utilize cross-correlation to extract time differences of signals within station pairs, and subsequently use these time differences for back-projection and localization, without the need for triggering moment scanning. The selection of imaging conditions, applied to the spatial projection of all cross-correlation records determines the noise resistance and resolution of such methods. To fully exploit the azimuthal properties of station pairs for constraining the source imaging, we propose a high-order azimuth coherent imaging condition, which involves the following steps: (1) Choosing station pairs that meet specific inter-station distance criteria; (2) Combining station pairs into dual-station pairs that satisfy a certain inter-station pair angle criterion; (3) Further combining station combinations pairwise to form the final set of station pairs; (4) Multiplying the projection results of station pairs within each combination from the third step; (5) Summing the results of all combinations. This method effectively suppresses the hyperboloid in the spatial projection of a single station, enhances the coherence of seismic source imaging, and maintains noise resistance. Compared to the conventional imaging conditions, the method proposed has demonstrated superior resolution and robustness in both theoretical analysis and practical testing.
广泛用于微地震监测的基于交叉相关的方法,利用交叉相关提取站对内信号的时差,然后利用这些时差进行反投影和定位,而无需触发时刻扫描。选择适用于所有交叉相关记录空间投影的成像条件,决定了此类方法的抗噪能力和分辨率。为了充分利用台站对的方位特性来约束源成像,我们提出了一种高阶方位相干成像条件,包括以下步骤:(1) 选择符合特定台站间距离标准的台站对;(2) 将台站对组合成符合特定台站对间角度标准的双台站对;(3) 进一步将台站组合成对,形成最终的台站对集合;(4) 将第三步中每个组合内的台站对投影结果相乘;(5) 将所有组合的结果相加。该方法有效抑制了单个台站空间投影中的双曲面,增强了震源成像的一致性,并保持了抗噪性。与传统的成像条件相比,所提出的方法在理论分析和实际测试中都表现出更高的分辨率和鲁棒性。
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引用次数: 0
Characteristic analysis and data comparative of linear and nonlinear low frequency sweep in vibroseis 振动扫描中线性和非线性低频扫描的特性分析和数据比较
IF 1.4 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2023-12-29 DOI: 10.1093/jge/gxad108
Jian Zhang, Guoyong Zhao, Leiliang Xu, Xu Zhang, Xiaohan Liu, Jianggui Zhu
Low-frequency seismic data plays a crucial role in seismic data processing and seismic wave inversion. At present, there are two methods to realize the low-frequency excitation of vibrators: one is that the low-frequency vibrators are excited by linear sweep signals, and the other is that the conventional vibrators are excited by nonlinear low-frequency sweep signals. The cost of exploration using low-frequency vibroseis is high, and it is challenging to obtain sufficient low-frequency information using traditional vibrators. To this end, this paper comparatively studies the low-frequency sweep signal characteristics and data effects of low-frequency vibrator and traditional vibrator. Therefore, three kinds of linear and nonlinear low-frequency sweep signals are designed. Theoretical analysis shows that there are certain differences between linear and nonlinear in design methods, signal shapes, etc., but after correlation calculation, the signal spectrums reflecting the seismic response and the related wavelet shapes are basically consistent. Besides, the actual force signal data shows that the linear and nonlinear harmonic distortion are basically equivalent. Finally, based on the forward simulation of three sweep signals and the comparative analysis of field test data, it can be considered that the linear and nonlinear low-frequency sweep signals of vibrator have almost the same denoising ability under the basic conditions of spectrum and wavelet. Both can achieve low-frequency excitation and obtain rich low-frequency information, and the quality of seismic data is basically the same, so they can be applied in practical production.
低频地震数据在地震数据处理和地震波反演中起着至关重要的作用。目前,实现振子低频激励的方法有两种:一种是利用线性扫描信号激励低频振子,另一种是利用非线性低频扫描信号激励常规振子。使用低频振子进行勘探的成本较高,而且使用传统振子获取足够的低频信息具有挑战性。为此,本文对比研究了低频振动器和传统振动器的低频扫描信号特性和数据效果。因此,本文设计了三种线性和非线性低频扫描信号。理论分析表明,线性和非线性在设计方法、信号形状等方面存在一定差异,但经过相关计算,反映地震响应的信号频谱和相关小波形状基本一致。此外,从实际的力信号数据来看,线性和非线性谐波畸变基本相当。最后,根据对三种扫频信号的正演模拟和现场试验数据的对比分析,可以认为在频谱和小波的基本条件下,振动台的线性和非线性低频扫频信号具有基本相同的去噪能力。二者都能实现低频激励,获得丰富的低频信息,地震资料质量基本相同,可以在实际生产中应用。
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引用次数: 0
Viscoacoustic least squares reverse-time migration using L1-2 norm sparsity constraint 使用 L1-2 规范稀疏性约束的粘声最小二乘反向时间迁移
IF 1.4 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2023-12-26 DOI: 10.1093/jge/gxad107
Mingkun Zhang, Lingqian Wang, Hanming Chen, Hui Zhou, Peng Liu
Least-squares reverse-time migration (LSRTM) has become an advanced technique for complex structures imaging of the subsurface, as it can provide a higher resolution and more balanced amplitude migrated image than conventional reverse-time migration (RTM). However, the intrinsic attenuation of subsurface introduces amplitude attenuation and phase dispersion of seismic wavefield, which leads to the inverted image kinematically and dynamically inexactitude. Moreover, the imperfect geometry, limited bandwidth of seismic data, and inappropriate modeling kernel etc., would inevitably introduce two side-effects in migrated image, resulting in degradation of LSRTM imaging potential. To alleviate above issues, we present a data-domain sparsity constraint viscoacoustic least-squares reverse-time migration algorithm in this paper. In particular, we utilize the decoupled constant Q fractional Laplacians (DFLs) viscoacoustic wave equation as the modeling kernel to describe the attenuation effects of the subsurface, while a model constraint constructed in the misfit function via L1-2 norm is carried out to clear the migrated artefacts and boost the imaging resolution. Thanks to the excellent performance in sparsity, the drawbacks of unconstraint LSRTM can be effectively mitigated by the L1-2 norm-based regularization. In this paper, we adopt the alternating direction of multipliers method (ADMM) to iteratively address the constrained L1-2 minimization problem by implementing a proximal operator, and three synthetic examples are hired to evaluate the effectiveness and practicability of the proposed strategy. Migration results prove that the proposed scheme can effectively compensate the attenuation effects, improve the resolution, and suppress the migration artifacts of inverted images even in the complex imaging situations.
最小二乘反演(LSRTM)与传统的反演(RTM)相比,能提供分辨率更高、振幅更均衡的反演图像,因此已成为地下复杂结构成像的先进技术。然而,地表下的固有衰减会带来地震波场的振幅衰减和相位分散,从而导致反演图像在运动和动态上不精确。此外,不完美的几何形状、有限的地震数据带宽以及不恰当的建模内核等,都不可避免地会在迁移后的图像中引入两种副作用,导致 LSRTM 成像潜力下降。为了解决上述问题,我们在本文中提出了一种数据域稀疏性约束粘声最小二乘反演时间迁移算法。其中,我们利用解耦恒 Q 分数拉普拉斯(DFLs)粘声波方程作为建模核来描述地下的衰减效应,同时通过 L1-2 准则在误拟合函数中构建模型约束来清除迁移的伪影并提高成像分辨率。由于 LSRTM 在稀疏性方面的优异表现,基于 L1-2 规范的正则化可以有效缓解无约束 LSRTM 的缺点。本文采用交替乘数方向法(ADMM),通过实施近似算子来迭代解决受约束的 L1-2 最小化问题,并通过三个合成实例来评估所提策略的有效性和实用性。迁移结果证明,即使在复杂的成像情况下,所提出的方案也能有效补偿衰减效应、提高分辨率并抑制反转图像的迁移伪影。
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引用次数: 0
Characteristics of gravity and magnetic anomalies and their petroleum geological significance in the Yingen-Ejinaqi Basin, Inner Mongolia, China 中国内蒙古银根-额济纳旗盆地重力和磁异常特征及其石油地质意义
IF 1.4 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2023-12-23 DOI: 10.1093/jge/gxad102
Haihong Xu, Jianshe Wei, Xiaofeng Han, Fei Zhao, Junlin Zhou, Ting Jiang, Jizhong Shi, Wei Xu, Bo Song, Baowen Wang
This research aims to explore petroleum resource distribution characteristics in the Yingen-Ejinaqi Basin and provide a basis for assessing the prospect of petroleum potential in the region. Based on recent and previous gravity and aeromagnetic data obtained in the basin, anomalies including regional and residual gravity and magnetic anomalies, various derivative anomalies, and anomalies in structure-enhancing filtering were determined using multiple techniques. By analysing gravity, magnetic, and seismic anomaly characteristics of existing typical oil and gas wells, the petroleum resource distribution was studied by combining such data with exploration results arising from wells where oil and gas have been discovered. The research shows that the distribution ranges of the sags revealed by seismic profiles correspond to those of negative residual gravity anomalies; the distribution ranges of rocks identified in the sags along the seismic profiles show some correspondence to the positive residual magnetic anomalies. Analysis indicates that various sags corresponding to areas where negative residual gravity anomalies appear in the north and south of the basin are the primary and secondary favourable areas for oil and gas exploration in Mesozoic-Upper Paleozoic strata. Therefore, breakthroughs in oil and gas exploration should be made by focusing on these sags in the region. The positive residual magnetic anomalies in the basin can reflect the distribution of concealed rocks in the region, while concealed rocks in sags are an important area for oil and gas exploration in igneous rocks in the basin.
本研究旨在探讨银根-额济纳旗盆地的石油资源分布特征,为评估该地区的石油潜力前景提供依据。根据该盆地最近和以前获得的重力和航磁资料,采用多种技术确定了包括区域和残余重力和磁异常、各种衍生异常以及结构增强滤波异常在内的异常。通过分析现有典型油气井的重力、磁力和地震异常特征,结合这些数据和已发现油气井的勘探结果,研究了石油资源分布情况。研究表明,地震剖面揭示的下陷分布范围与负残余重力异常的分布范围相对应;沿地震剖面的下陷中发现的岩石分布范围与正残余磁异常有一定的对应关系。分析表明,盆地北部和南部出现负残余重力异常的区域所对应的各种凹陷是中生代-上古生界地层油气勘探的主要和次要有利区域。因此,油气勘探的突破口应集中在该区域的这些下陷区。盆地中的正残余磁异常可反映该地区隐伏岩的分布,而鞍部隐伏岩是盆地火成岩油气勘探的重要区域。
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引用次数: 0
Performance assessment of an iterative ensemble smoother with local analysis to assimilate big 4D seismic dataset applied to a complex pre-salt-like benchmark case 迭代集合平滑器与局部分析的性能评估,用于同化大型四维地震数据集,应用于复杂的盐前类基准案例
IF 1.4 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2023-11-30 DOI: 10.1093/jge/gxad099
C. Maschio, Gilson M. Silva Neto, A. Davolio, Vinicius de Souza Rios, D. Schiozer
The use of 4D seismic (4DS) (or time-lapse seismic, TLS) in data assimilation (DA) makes the process more complex due to the higher amount of data to be assimilated, requiring more robust methods and better computational resources (processing capacity and memory). The development and application of permanent seismic monitoring technologies have increased in the last years, improving the overall 4D seismic quality, in terms of signal resolution and repeatability. However, a massive amount of data is generated from the multiple monitors, making the incorporation of 4DS data in the DA process much more complex. Therefore, robust DA methods capable of dealing with huge amount of data effectively and efficiently are essential. This paper aims to assess the performance of an iterative ensemble smoother method, named Subspace Ensemble Randomized Maximum Likelihood with a local analysis (SEnRML-LA), to assimilate a big data set. The method was applied in a challenging pre-salt-like benchmark case with eight seismic surveys, one base, and seven monitors. The 4DS data are the impedance ratios (between two consecutive monitors) in 15 seismic horizons, totaling 105 maps to be assimilated. To our best knowledge, this is state of the art in terms of practical applications in data assimilation. It was possible to assimilate all the data simultaneously: the 105 horizons for the 4DS data and the wells’ production and pressure data. The data assimilation was successful in terms of results quality and method performance. We also ran a case assimilating only well data for comparison purposes.
在数据同化(DA)中使用四维地震(4DS)(或延时地震(TLS)),由于需要同化的数据量更大,因此过程更加复杂,需要更强大的方法和更好的计算资源(处理能力和内存)。近年来,永久地震监测技术的开发和应用不断增加,从信号分辨率和可重复性方面提高了整体四维地震质量。然而,多个监测器会产生大量数据,这使得将 4DS 数据纳入 DA 流程变得更加复杂。因此,能够有效、高效地处理海量数据的稳健数据分析方法至关重要。本文旨在评估一种名为 "带局部分析的子空间集合随机最大似然法(SEnRML-LA)"的迭代集合平滑方法在同化大数据集方面的性能。该方法被应用于一个具有挑战性的前盐类基准案例,该案例包含 8 个地震勘探、1 个基地和 7 个监测器。4DS 数据是 15 个地震层位的阻抗比(两个连续监测器之间),总共有 105 个地图需要同化。据我们所知,这在数据同化的实际应用方面是最先进的。我们可以同时同化所有数据:4DS 数据的 105 个地层以及油井的生产和压力数据。就结果质量和方法性能而言,数据同化是成功的。我们还运行了一个仅同化油井数据的案例,以进行比较。
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引用次数: 0
Reverse time migration surface offset gathers by attribute migration and constrained least squares inversion 通过属性迁移和受约束最小二乘反演进行反向时间迁移地表偏移采集
IF 1.4 3区 地球科学 Q2 Earth and Planetary Sciences Pub Date : 2023-11-29 DOI: 10.1093/jge/gxad097
Yingdong Zheng, Guofeng Liu
Surface offset gathers (SOGs) are crucial in velocity updating in seismic data migration and muting the stretched waveform in shallow parts of migrated seismic data. Kirchhoff-based migration methods can output SOGs because it takes every seismic trace as the input. As a result, the imaging results can be rearranged according to the offset value of the input data to obtain SOGs. However, regarding more accurate wave equation methods (such as reverse time migration (RTM)), the SOGs cannot be obtained directly with a single migration calculation. Attribute migration is an easy-to-implement method to output SOGs of wave equation migration methods. It calculates the offset value of each imaging point by dividing the migration result modulated by the offset attribute with the conventional migration result. However, the division error may cause the calculation result outside the given offset value. This paper proposes a constrained least square inversion method for stable calculation of RTM offset range. The method ensures that the calculated results are within the given offset range. We tested the method against the direct division and least square methods without constraints using the Marmousi model and real 3D dataset. We show that the SOGs obtained by the constrained least squares inversion attribute migration method had the same characteristics as those derived using the division-based attribute migration method, but also has higher vertical resolution, better energy distribution, and improved lateral continuity. In further study, we expect to develop a stable and direct method to efficiently calculate SOGs for RTM and an iterative closed loop for RTM velocity updating.
地表偏移采集(SOG)对于地震数据迁移中的速度更新和减弱迁移地震数据浅部的拉伸波形至关重要。基于 Kirchhoff 的迁移方法可以输出 SOG,因为它将每条地震道作为输入。因此,可以根据输入数据的偏移值重新排列成像结果,从而获得 SOG。然而,对于更精确的波方程方法(如反向时间迁移(RTM)),一次迁移计算无法直接获得 SOG。属性迁移是输出波方程迁移方法 SOG 的一种易于实施的方法。它通过将偏移属性调制的迁移结果与常规迁移结果相除来计算每个成像点的偏移值。然而,除法误差可能导致计算结果超出给定偏移值。本文提出了一种用于稳定计算 RTM 偏移范围的受限最小平方反演方法。该方法可确保计算结果在给定的偏移范围内。我们使用 Marmousi 模型和真实三维数据集测试了该方法与直接除法和无约束最小平方法的比较。结果表明,采用约束最小二乘法反演属性迁移方法得到的 SOG 与采用基于除法的属性迁移方法得到的 SOG 具有相同的特征,而且具有更高的垂直分辨率、更好的能量分布和更好的横向连续性。在进一步的研究中,我们希望开发出一种稳定而直接的方法来有效计算 RTM 的 SOGs,并开发出 RTM 速度更新的迭代闭环。
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引用次数: 0
期刊
Journal of Geophysics and Engineering
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