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Enhancing the seismic response of faults by using a deep learning-based method 利用基于深度学习的方法增强断层的地震响应
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-06-12 DOI: 10.1111/1365-2478.13549
Hao Yan, Zhe Yan, Jiankun Jing, Zheng Zhang, Haiying Li, Hanming Gu, Shaoyong Liu

The accuracy of fault interpretation is generally influenced by the quality of seismic images. Because of the blurring effect of the migration process, faults with small throws may not be clearly imaged in seismic images, which will impose limitations on the fault detection. To address this issue, we propose a deep learning-based method to enhance faults in poststack seismic images. We generate abundant training samples by convolving the three-dimensional point-spread functions with the noisy reflectivity models. The corresponding labels are synthesized using the one-dimensional seismic wavelet convolution method, simulating conditions with perfect illumination. To train the network for optimal performance, we investigate the impact of different loss functions. Ultimately, we employ a mixed loss function combining structural similarity index measure and gradient difference loss, since the gradient difference loss focuses more on geological edge information, and the structural similarity index measure possesses excellent image perceptual capability and optimization property. Results from one synthetic seismic image and three real seismic data demonstrate that our proposed method can effectively restore the sharpness of fault surfaces, particularly for faults with small displacements. Compared to the structural smoothing method, the network we trained achieves optimal fault enhancement. Furthermore, coherence-based fault images indicate that seismic images enhanced using our method can improve the accuracy of fault interpretation and yield more continuous fault maps.

断层解释的准确性通常受地震图像质量的影响。由于迁移过程的模糊效应,投影较小的断层可能无法在地震图像中清晰成像,这将对断层探测造成限制。针对这一问题,我们提出了一种基于深度学习的方法来增强叠后地震图像中的断层。我们通过将三维点分布函数与噪声反射率模型进行卷积,生成丰富的训练样本。通过一维地震小波卷积方法,模拟完美光照条件,合成相应的标签。为了训练网络以获得最佳性能,我们研究了不同损失函数的影响。由于梯度差损失更注重地质边缘信息,而结构相似性指数测量具有出色的图像感知能力和优化特性,因此我们最终采用了结构相似性指数测量和梯度差损失相结合的混合损失函数。一个合成地震图像和三个真实地震数据的结果表明,我们提出的方法能有效地恢复断层面的锐利度,尤其是对于位移较小的断层。与结构平滑法相比,我们训练的网络实现了最佳的断层增强效果。此外,基于相干性的断层图像表明,使用我们的方法增强的地震图像可以提高断层解释的准确性,并得到更连续的断层图。
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引用次数: 0
Seismic migration of water-bottom-related multiples accelerated by random phase-encoding strategy 通过随机相位编码策略加速与水底相关的多重地震迁移
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-06-11 DOI: 10.1111/1365-2478.13552
Yanbao Zhang, Feng Hu, Yanzhi Hu

Marine seismic multiples contain more structure information than primaries and should be considered in migrations. However, multiple migrations suffer from severe crosstalks generated by interferences among undesirable multiples. It has been proven that the water-bottom-related multiple migration can suppress crosstalks greatly. However, if all associated consecutive-order multiples are considered, the computation cost is extremely high. To settle this issue, a phase-encoding-based multiple migration is proposed. Supergathers are first created by randomly phase-encoding consecutive-order multiples and stacking-encoded multiples. By migrating supergathers, the proposed method can fulfil migrations of all order multiples simultaneously, thereby reducing the computation cost significantly. We use a three-layer model and the Pluto 1.5 model for numerical comparisons. The results reveal that the method can retrieve high-quality images and increase computation efficiency considerably.

海洋地震多参数比主参数包含更多的结构信息,因此在迁移时应加以考虑。然而,多重迁移会受到不良多重干扰产生的严重串扰。实践证明,与水底相关的多重迁移可以极大地抑制串扰。但是,如果考虑所有相关的连续阶乘,计算成本就会非常高。为了解决这个问题,我们提出了一种基于相位编码的多重迁移方法。首先,通过对连续阶乘和堆叠编码乘进行随机相位编码来创建超父。通过迁移超级祖,所提出的方法可以同时完成所有阶乘的迁移,从而大大降低计算成本。我们使用三层模型和冥王星 1.5 模型进行数值比较。结果表明,该方法可以检索到高质量的图像,并大大提高了计算效率。
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引用次数: 0
Assessing the impact of pore-fracture structures on permeability sensitivity in tectonic coal using computerized tomography scanning 利用计算机断层扫描评估孔隙-断裂结构对构造煤渗透敏感性的影响
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-06-05 DOI: 10.1111/1365-2478.13551
Guangui Zou, Meijiao Wang, Tailang Zhao, Jiasheng She

The heterogeneity in permeability of coal reservoirs is primarily attributed to the considerable variation in the morphologies and structures of microscopic pore-fractures, shaped by complex geological processes. This study emphasizes the necessity of understanding the impact and governance of these morphological and structural variations in pore-fractures across different types of coal bodies on their permeability. Utilizing computerized tomography scanning and three-dimensional imaging, we examined coal samples from the Datong coalfield in the southeastern Qinshui Basin, Shanxi Province, to characterize the pore-fracture morphologies and structures distinct to various coal-body types based on tomographic data. This introduces a methodology for assessing the influence of microscopic pore-fracture parameters, such as porosity, specific surface area, tortuosity and fractal dimension, on permeability sensitivity. This is achieved through the application of the modified Kozeny–Carman equation and a fractal permeability model. Findings indicate a predominance of slab fractures in raw coal, whereas fragmented coal under weak brittle deformation exhibits small, isolated pore-fractures with minimal diameter and volume and poor connectivity. In contrast, granular coal subjected to strong brittle deformation features extensive clusters of large pore-fractures with significant diameter and volume, enhancing connectivity. Moreover, permeability predictions are refined by integrating the modified Kozeny–Carman equation with tomographic data, offering a more precise understanding of the permeability across different coal bodies.

煤储层渗透率的异质性主要归因于微观孔隙裂缝在复杂地质过程中形成的形态和结构的巨大变化。本研究强调有必要了解不同类型煤体中孔隙裂缝的形态和结构变化对其渗透性的影响和治理。利用计算机层析成像扫描和三维成像技术,我们对山西省沁水盆地东南部大同煤田的煤样进行了研究,根据层析成像数据描述了不同煤体类型的孔隙裂隙形态和结构特征。本文介绍了一种评估孔隙率、比表面积、曲折度和分形维度等微观孔隙-断裂参数对渗透率敏感性影响的方法。这是通过应用修正的 Kozeny-Carman 方程和分形渗透率模型来实现的。研究结果表明,原煤中以板状裂缝为主,而在弱脆性变形条件下的碎煤则表现出直径和体积极小、连通性差的孤立小孔隙裂缝。与此相反,受强脆性变形作用的粒状煤则具有直径和体积较大的大孔隙裂缝群,增强了连通性。此外,通过将修正的 Kozeny-Carman 方程与层析成像数据相结合,对渗透性预测进行了改进,从而更精确地了解了不同煤体的渗透性。
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引用次数: 0
Bayesian linearized amplitude variation with offset and azimuth inversion and uncertainty analysis in horizontal transversely isotropic media 水平横向各向同性介质中带有偏移和方位角的贝叶斯线性化振幅变化反演及不确定性分析
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-06-03 DOI: 10.1111/1365-2478.13548
Xinpeng Pan, Zhishun Liu, Pu Wang, Lei Huang, Jianxin Liu

The stratum can be modelled as a horizontal transversely isotropic medium when a single set of vertically parallel fractures embedded in an isotropic background medium, which facilitates efficient study for fractured reservoirs. Elastic parameters and fracture weaknesses are important parameters to describe the characteristics of fractured reservoirs, and seismic inversion plays a significant role in parameters estimation. The commonly used deterministic inversion methods do not fully utilize the prior information and fails to present the uncertainty analysis of inversion results. To address these shortcomings, we propose a Bayesian linearized amplitude variation with offset and azimuth inversion method tailored for horizontal transversely isotropic media, enabling a more robust analysis of uncertainty. Within the framework of Bayesian inversion, the proposed method successfully derives analytical expressions for the posterior mean and covariance of both elastic parameters and fracture weaknesses. The response characteristics of the anisotropic reflection coefficient are analysed, and it is found that the perturbations of elastic parameters have a greater effect on reflection coefficient compared to fracture weaknesses. Synthetic data examples confirm that the accuracy of estimated P- and S-wave velocities and density surpasses that of fracture weaknesses, and the proposed method still performs well for the case of moderate noise. A field data example demonstrates that the inverted profiles agree well with the logging curve, and the estimated fracture weaknesses display significantly high values in the reservoir area. The estimated reservoir parameters not only contribute to a more accurate representation of the fractured gas-bearing reservoir but also provide insights into the target gas reservoir through its posterior distribution. Both synthetic and field data examples demonstrate the stability and reliability of the proposed method in characterizing fractured reservoirs. We determine that the proposed method provides an available tool for nuanced evaluation of uncertainty for the inversion results, and it is helpful for the fine description of fractured hydrocarbon-bearing reservoirs.

当单组垂直平行裂缝嵌入各向同性背景介质时,地层可被模拟为水平横向各向同性介质,这有助于对裂缝储层进行有效研究。弹性参数和裂缝软弱性是描述裂缝储层特征的重要参数,地震反演在参数估计中发挥着重要作用。常用的确定性反演方法不能充分利用先验信息,也无法对反演结果进行不确定性分析。针对这些不足,我们提出了一种针对水平横向各向同性介质的贝叶斯线性化振幅变化偏移和方位角反演方法,从而能够对不确定性进行更稳健的分析。在贝叶斯反演框架内,所提出的方法成功地推导出了弹性参数和断裂软弱性的后验均值和协方差的分析表达式。分析了各向异性反射系数的响应特征,发现与断裂软弱性相比,弹性参数的扰动对反射系数的影响更大。合成数据实例证实,P 波和 S 波速度和密度的估算精度超过了裂缝软弱性的估算精度,而且所提出的方法在中等噪声情况下仍然表现良好。一个现场数据实例表明,反演剖面与测井曲线非常吻合,估算出的裂缝薄弱度在储层区域显示出明显的高值。估算出的储层参数不仅有助于更准确地表示压裂含气储层,还能通过其后向分布深入了解目标气藏。合成数据和现场数据实例都证明了所提方法在描述裂缝储层特征方面的稳定性和可靠性。我们认为,所提出的方法为反演结果不确定性的细微评估提供了可用工具,有助于对裂缝含烃储层进行精细描述。
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引用次数: 0
A shortest-path-aided fast-sweeping method to improve the accuracy of traveltime calculation in vertically transverse isotropic media 提高垂直横向各向同性介质中行进时间计算精度的最短路径辅助快速扫描方法
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-05-23 DOI: 10.1111/1365-2478.13537
Jianming Zhang, Liangguo Dong, Chao Huang

The high accuracy and efficiency of traveltime calculation are critical in seismic tomography, migration, static corrections, source locations and anisotropic parameter estimation. The fast-sweeping method is an efficient upwind finite-difference approach for solving the eikonal equation. However, the fast-sweeping method is accurate only along the axis directions. In two-dimensional or higher dimensional cases, the accuracy is severely decreased in the diagonal directions due to the numerical errors in these directions. These similar numerical errors also arose in higher order fast-sweeping method and anisotropic fast-sweeping method. To improve the accuracy of traveltime calculation in two-dimensional or higher dimensional space, a shortest-path-aided fast-sweeping method is proposed. The shortest-path-aided solution is embedded into the sweeping process of the standard fast-sweeping method to improve the traveltime accuracy in the diagonal directions. Shortest-path-aided fast-sweeping method is very easy to implement nearly without additional computational cost and memory consumption. Furthermore, this method is easy to extend from two-dimensional to higher dimensional, from low-order to higher-order and from isotropic to anisotropic cases.

高精度和高效率的旅行时间计算对于地震层析成像、迁移、静校正、震源定位和各向异性参数估计至关重要。快速扫描法是一种高效的上风有限差分法,用于求解 eikonal 方程。然而,快速扫频法仅沿轴线方向精确。在二维或更高维的情况下,由于对角线方向上的数值误差,精度会严重下降。这些类似的数值误差也出现在高阶快速扫描方法和各向异性快速扫描方法中。为了提高二维或更高维空间的旅行时间计算精度,提出了一种最短路径辅助快速扫描方法。最短路径辅助解被嵌入到标准快速扫描方法的扫描过程中,以提高对角线方向的旅行时间精度。最短路径辅助快速扫描方法非常容易实现,几乎不需要额外的计算成本和内存消耗。此外,这种方法很容易从二维扩展到高维,从低阶扩展到高阶,从各向同性扩展到各向异性。
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引用次数: 0
Diving waves in acoustic factorized orthorhombic media 声因式正交介质中的潜水波
IF 2.6 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-05-08 DOI: 10.1111/1365-2478.13532
Kristoffer Tesdal Galtung, Alexey Stovas
<p>Diving waves propagating in the subsurface are massive sources of low-frequency information that can be used to constrain the kinematic component of the velocity model. Compared to reflected waves, less is known about the behaviour of diving waves, especially in the presence of azimuthal anisotropy. Anisotropy is needed to place the events to the correct depths and match travel times in synthetics with recorded data. Obtaining more insights into the influence of anisotropy on diving wave propagation can help to find parameters with a low trade-off for inversion. Here, we derive equations for diving qP-waves in an acoustic factorized anisotropic model with orthorhombic anisotropy. The effects of the anisotropic parameters in the acoustic factorized orthorhombic model are tested by perturbing <span></span><math> <semantics> <msub> <mi>ε</mi> <mn>1</mn> </msub> <annotation>$epsilon _1$</annotation> </semantics></math>, <span></span><math> <semantics> <msub> <mi>ε</mi> <mn>2</mn> </msub> <annotation>$epsilon _2$</annotation> </semantics></math>, <span></span><math> <semantics> <msub> <mi>η</mi> <mn>1</mn> </msub> <annotation>$eta _1$</annotation> </semantics></math>, <span></span><math> <semantics> <msub> <mi>η</mi> <mn>2</mn> </msub> <annotation>$eta _2$</annotation> </semantics></math> and <span></span><math> <semantics> <msub> <mi>η</mi> <mn>3</mn> </msub> <annotation>$eta _3$</annotation> </semantics></math> and observing differences in the ray paths, the effective vertical slowness and the relative geometrical spreading. The properties of diving waves in this model are also compared with those in an acoustic isotropic model and acoustic factorized anisotropic models with elliptical- and vertical transverse isotropic anisotropy. From our analysis, we found that perturbing <span></span><math> <semantics> <msub> <mi>ε</mi> <mn>1</mn> </msub> <annotation>$epsilon _1$</annotation> </semantics></math> and <span></span><math> <semantics> <msub> <mi>ε</mi> <mn>2</mn> </msub> <annotation>$epsilon _2$</annotation> </semantics></math> has the most significant influence on these characteristics. The <span></span><math> <semantics> <msub> <mi>η</mi> <mn>1</mn>
在地下传播的潜波是低频信息的巨大来源,可用来约束速度模型的运动分量。与反射波相比,人们对潜水波的行为了解较少,尤其是在存在方位各向异性的情况下。各向异性是将事件置于正确深度的必要条件,也是使合成波的传播时间与记录数据相匹配的必要条件。更深入地了解各向异性对潜水波传播的影响,有助于找到反演权衡较低的参数。在这里,我们推导了具有正交各向异性的声学因子化各向异性模型中的下潜 qP 波方程。通过扰动 、 、 和 ,测试了各向异性参数在声学因式正交模型中的影响,并观察了射线路径、有效垂直慢度和相对几何展宽的差异。我们还将该模型中的潜水波特性与声学各向同性模型以及具有椭圆和垂直横向各向异性的声学因式各向异性模型进行了比较。通过分析,我们发现扰动 和 对这些特性的影响最为显著。而 、 和 参数的变化较小。与其他模型相比,声学因式正交模型与椭圆各向异性声学因式各向异性模型的共同点最多。尽管总的来说,其他模型都不能完全代表正交各向异性的影响。
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引用次数: 0
Regularization of vertical derivatives of potential field data using Morozov's discrepancy principle 利用莫洛佐夫差异原理对电位场数据的垂直导数进行正则处理
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-05-06 DOI: 10.1111/1365-2478.13534
Saulo Pomponet Oliveira, Luan Thanh Pham, Roman Pašteka

The calculation of the vertical derivatives of potential field methods can be carried out in a stable manner by Tikhonov regularization, but this procedure requires the appropriate selection of a regularization parameter. For this purpose, we introduce a criterion based on Morozov's discrepancy principle that uses a preliminary approximation given by the vertical derivative of the smoothed data. The smoothing may be performed by a physical or a mathematically based low-pass filter. The filtered data are computed only for estimating the regularization parameter; once it is found, we evaluate the regularized vertical derivative from the original data (not from the smoothed one) in the frequency domain. We verified from experiments with noise-corrupted synthetic data, as well as gravity and magnetic field data, that the regularized vertical derivative has about the same smoothness as the one obtained from filtered data, but true anomalies are more easily distinguished from noise and the shapes of the anomalies are better preserved.

通过提霍诺夫正则化,可以稳定地计算势场方法的垂直导数,但这一过程需要适当选择正则化参数。为此,我们引入了一种基于莫罗佐夫差异原理的标准,使用平滑数据的垂直导数给出的初步近似值。平滑化可以通过物理或数学低通滤波器进行。计算滤波数据只是为了估算正则化参数;一旦找到参数,我们就会在频域内根据原始数据(而不是平滑数据)评估正则化垂直导数。我们通过对噪声干扰合成数据以及重力场和磁场数据的实验验证,正则化垂直导数的平滑度与滤波数据的平滑度大致相同,但真正的异常更容易从噪声中区分出来,异常的形状也得到了更好的保留。
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引用次数: 0
Physics-reliable frugal local uncertainty analysis for full waveform inversion 用于全波形反演的物理可靠的节俭式局部不确定性分析
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-05-06 DOI: 10.1111/1365-2478.13528
Muhammad Izzatullah, Abdullah Alali, Matteo Ravasi, Tariq Alkhalifah

Full waveform inversion stands at the forefront of seismic imaging technologies, pivotal in retrieving high-resolution subsurface velocity models. Its application is especially profound when imaging complex geologies such as salt bodies, which are regions notoriously challenging, yet essential given their hydrocarbon potential. However, with the power of full waveform inversion comes the intrinsic challenge of estimating the associated uncertainties. Such uncertainties are crucial in understanding the reliability of subsurface models, particularly in terrains like subsalt regions. Addressing this, we advocate for a nuanced approach employing the Stein variational gradient descent algorithm. Through a judicious use of a limited number of velocity model particles and the integration of random field-based perturbations, our methodology provides a local representation of the uncertainties inherent in full waveform inversion. Our evaluations, based on the Marmousi model, showcase the robustness of the proposed technique. Yet, it is our exploration into salt-intensive terrains, leveraging data from the Sigsbee 2A synthetic model and the Gulf of Mexico, that emphasizes the method's versatility. Findings indicate pronounced uncertainties along salt boundaries and in the deeper subsalt sediments, contrasting the minimal uncertainties in non-salt terrains. However, anomalies like salt canyons present unique challenges, potentially due to the interplay of multi-scattering effects. Emphasizing the scalability and cost-effectiveness of this approach, we highlight its potential for large-scale industrial applications in full waveform inversion, while also underscoring the necessity for prudence when integrating these uncertainty insights into subsequent seismic-driven geological and reservoir modelling.

全波形反演处于地震成像技术的前沿,在检索高分辨率地下速度模型方面发挥着关键作用。在对盐体等复杂地质进行成像时,全波形反演技术的应用尤为广泛。然而,随着全波形反演技术的强大,估算相关不确定性的内在挑战也随之而来。这些不确定性对于了解地下模型的可靠性至关重要,尤其是在盐下地区等地形中。为解决这一问题,我们主张采用斯坦因变分梯度下降算法这一细致入微的方法。通过明智地使用数量有限的速度模型粒子和整合基于随机场的扰动,我们的方法对全波形反演中固有的不确定性进行了局部表示。我们基于 Marmousi 模型进行的评估显示了所提技术的稳健性。然而,我们利用 Sigsbee 2A 合成模型和墨西哥湾的数据,对盐分密集地形进行了探索,从而强调了该方法的多功能性。研究结果表明,盐边界和更深的盐下沉积物存在明显的不确定性,而非盐地形的不确定性则很小。然而,盐峡谷等异常现象带来了独特的挑战,这可能是由于多重散射效应的相互作用。我们强调了这一方法的可扩展性和成本效益,强调了其在全波形反演中大规模工业应用的潜力,同时也强调了将这些不确定性见解整合到后续地震驱动的地质和储层建模中时必须谨慎。
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引用次数: 0
Introducing the area under stress–velocity curve: Theory, measurement and association with rock properties 介绍应力-速度曲线下的面积:理论、测量以及与岩石特性的联系
IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-05-06 DOI: 10.1111/1365-2478.13525
Javad Sharifi

Since many years ago, ultrasonic velocity has been used to investigate the physical and mechanical behaviour of rocks, thereby playing an important role in reservoir characterization and seismic interpretation. In order to develop the knowledge of ultrasonic tools, I performed a noble analysis on the ultrasonic behaviour of rocks under confining stress and evaluated a distinctive property of porous media that is measured as the area under the stress–velocity curve (here defined as S*). I further investigated its relationship with elastic and mechanical behaviours of rock. To validate the theoretical framework developed in this work, 20 core plugs from various rock units with complex microstructures were subjected to triaxial compressional tests to calculate their area under the curve. Calculations were made for crack-closing, elastic and post-elastic stages (e.g. pore collapse) along the ultrasonic velocity–stress curve. Moreover, the selected samples had their microstructure investigated by thin-section studies to quantify their porosity and pore type. The results were analysed to check for the effect of pore type on S* in different stages of the stress–velocity curve. Based on the outputs of the analysis of variance and Pearson's correlation coefficient analysis, the curve had its shape and underlying area closely related to the porosity and pore geometry. Indeed, the results showed that the shale and sandstone with micro cracks and carbonate with stiff pores correspond to smaller and larger areas under the curve in crack-closing and inelastic stages, respectively. Cross-correlating the results to compressibility (inverse of bulk modulus), it was figured out that the calculated area under curve was well consistent with the compressibility. In addition, S* represents both static and dynamic behaviours of the rock, and the results revealed that the shape and curvature of the stress–velocity curve give valuable information about the rock microstructure. Another finding was the fact that the type of fluid and wave velocity seemingly affect the S*. Our findings can help interpret wave velocity behaviour in reservoir rocks and other stressful porous media.

多年以来,超声波速度一直被用于研究岩石的物理和机械行为,从而在储层特征描述和地震解释中发挥着重要作用。为了发展超声波工具的知识,我们对岩石在约束应力下的超声波行为进行了高尚分析,并评估了多孔介质的一个独特属性,即应力-速度曲线下的面积(此处定义为 S*)。我们进一步研究了它与岩石弹性和机械行为的关系。为了验证这项工作中提出的理论框架,我们对来自不同岩石单元、具有复杂微观结构的 20 个岩心塞进行了三轴压缩试验,以计算它们的曲线下面积。沿超声波速度-应力曲线对裂缝闭合、弹性和后弹性阶段(如孔隙坍塌)进行了计算。此外,还通过薄片研究对所选样品的微观结构进行了调查,以量化其孔隙率和孔隙类型。对结果进行分析,以检查孔隙类型在应力-速度曲线的不同阶段对 S* 的影响。根据方差分析和皮尔逊相关系数分析的结果,曲线的形状和底面积与孔隙度和孔隙几何形状密切相关。结果表明,在裂缝闭合和非弹性阶段,具有微裂缝的页岩和砂岩以及具有硬质孔隙的碳酸盐岩分别对应较小和较大的曲线下面积。将结果与可压缩性(体积模量的倒数)相互关联,可以发现计算出的曲线下面积与可压缩性非常一致。此外,S* 代表了岩石的静态和动态行为,结果表明应力-速度曲线的形状和曲率提供了有关岩石微观结构的宝贵信息。另一个发现是流体类型和波速似乎会影响 S*。我们的发现有助于解释储层岩石和其他应力多孔介质中的波速行为。
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引用次数: 0
A new highly accurate and efficient pure visco‐acoustic wave equation for tilted transversely isotropic attenuating media 用于倾斜横向各向同性衰减介质的新型高精度高效纯粘声波方程
IF 2.6 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Pub Date : 2024-05-06 DOI: 10.1111/1365-2478.13519
Lei Xiang, Jianping Huang, Qiang Mao, Xinru Mu
The propagation of seismic waves in attenuating anisotropic media exhibits amplitude dissipation and phase dispersion. To describe its effects, the fractional Laplacian pure visco‐acoustic wave equations capable of producing stable and noise‐free wavefields have been derived. However, except for acoustic approximation, previous wave equations utilize the approximations with lower accuracy in simplifying the denominator of the approximate complex‐valued dispersion relation, resulting in reduced accuracy. To address this concern, we use a combination of complex stiffness coefficients to replace the denominator term of the approximate complex‐valued dispersion relation. This approximation effectively reduces the loss of accuracy caused by ignoring the influence of the velocity anisotropy parameter ε and the attenuation anisotropy parameter εQ in the denominator term, leading to a wave equation with high accuracy in media with large anisotropic parameters ε and δ. In addition, the new wave equation only contains two high‐order spatial partial derivatives and has high computational efficiency. Theoretical analysis and numerical examples demonstrate that the proposed pure visco‐acoustic tilted transversely isotropic wave equation outperforms the previous pure visco‐acoustic wave equation in terms of simulation accuracy. The newly developed wave equation is well suited for the application of Q‐compensated reverse time migration and full waveform inversion in attenuating anisotropic media.
地震波在各向异性衰减介质中传播时会出现振幅耗散和相位频散。为了描述其影响,人们推导出了能够产生稳定无噪声波场的分数拉普拉斯纯粘声波方程。然而,除了声学近似之外,以前的波方程在简化近似复值频散关系的分母时,都使用了精度较低的近似值,导致精度降低。为了解决这个问题,我们使用复刚度系数组合来替代近似复值频散关系的分母项。这种近似方法有效地减少了因忽略分母项中速度各向异性参数 ε 和衰减各向异性参数 εQ 的影响而造成的精度损失,从而得到了在各向异性参数 ε 和 δ 较大的介质中精度较高的波方程。此外,新的波方程只包含两个高阶空间偏导数,具有较高的计算效率。理论分析和数值实例证明,所提出的纯粘声倾斜横向各向同性波方程在模拟精度方面优于之前的纯粘声波方程。新开发的波方程非常适合在衰减各向异性介质中应用 Q 补偿反向时间迁移和全波形反演。
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Geophysical Prospecting
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