cigChannels: a massivescale 3D seismic data with labeled paleochannels for advancing deep learning in seismic interpretation: 大型古河道数据集
 To fill the gap of missing a comprehensive benchmark dataset of paleochannels, we present a workflow of geologic channel simulation and geophysical forward modeling to create a massivescale synthetic seismic dataset containing 1,200 256×256×256 seismic volumes with labels of more than 10,000 diverse channels and their associated sedimentary facies. It is by far the largest dataset for channels, providing realistic and geologically reasonable seismic volumes with meandering, distributary, and submarine channels.
 Wang, G., X. Wu*, and W. Zhang, 2024, cigChannels: a massivescale 3D seismic data with labeled paleochannels for advancing deep learning in seismic interpretation, ESSD, submitted.
cigFacies: a massivescale benchmark dataset of seismic facies and its application: 大型地震相数据集
 The datadriven deep learning approaches are highly promising for automatic seismic facies classification with efficiency and accuracy, but lacking a comprehensive benchmark dataset of seismic facies severely limits its developments, applications, and evaluations in seismic facies classification. To tackle this limitation, we propose a workflow to construct a massivescale benchmark dataset and evaluate its effectiveness in training a deep learning model. Specifically, We first develop a knowledge graph of seismic facies (left figure) based on the geological concepts and seismic reflection configurations. Guided by the graph, we then implement three strategies of field seismic data curation, knowledgeguided synthesization, and AIbased generation to construct the benchmark dataset of 8000 diverse samples. We have made this dataset, trained model and associated codes publicly available for further research and validation of intelligent seismic facies classification.
 Gao, H., X. Wu*, S. Xiao, M. Hou, H. Gao, G. Wang, and H. Sheng, 2024, cigFacies: a massivescale benchmark dataset of seismic facies and its application, GRL, submitted. [Data]
CIGVis: an opensource Python tool for realtime interactive visualization of multidimensional geophysical data: 开源交互式三维可视化软件
 As Python’s role in processing and interpreting geophysical data expands, the need for a Pythonbased tool tailored for visualizing geophysical data has become increasingly critical. In response, CIGVis was developed  a fully opensource Python tool optimized for researchers and licensed under the MIT. It specializes in realtime, interactive visualiza tion of multidimensional geophysical data, including 3D seismic, faults, horizons, geological bodies, and well logs. CIGVis enables users to interact with data through operations such as rotation, movement, zooming, and dragging slices. It also supports a multicanvas functionality, allowing simultaneous visualization across multiple subcanvases with a unified camera perspective. Its ease of use allows for effective visualization with just a few lines of code across all major operating systems, and extends to both desktop and Jupyter environments, facilitating code execution in various settings. The core functionalities of CIGVis are exemplified using straightforward datasets, such as the F3 dataset.
 Li, J., Y. Shi, and X. Wu*, 2024, CIGVis: an opensource Python tool for realtime interactive visualization of multidimensional geophysical data, Geophysics, submitted. [pypi], [CODE], [GIF1], [GIF2].
Seismic Foundation Model (SFM): a next generation deep learning model in geophysics: 地震基础模型
 We introduce a workflow to develop geophysical foundation models, including data preparation, model pretraining, and adaption to downstream tasks. From 192 globally collected 3D seismic volumes, we create a carefully curated dataset of 2,286,422 2D seismic images. Fully using these unlabeled images, we employ the selfsupervised learning to pretrain a Transformerbased Seismic Foundation Model (SFM) for producing allpurpose seismic features that work across various tasks and surveys. Through experiments on seismic facies classification, geobody identification, interpolation, denoising, and inversion, our pretrained model demonstrates versatility, generalization, scalability, and superior performance over baseline models.
 Sheng, H., X. Wu*, X. Si, J. Li, S. Zhang, and X. Duan, 2023, Seismic Foundation Model (SFM): a next generation deep learning model in geophysics, submitted.[Arxiv]
Intelligent traffic monitoring with distributed acoustic sensing: 基于分布式光纤的智能交通监测
 We propose a twostep deeplearning workflow with high efficienncy and noise immunity for DASbased traffic monitoring, including instance vechile trajactory segmentation and velocity estimation. We simulate synthetic datasets to train a Convolutional Neural Network (CNN) model in the first step of the workflow to detect linear vehiele trajectories from noisy DAS data in the timespace domain. In the step, we apply the Hough transform to convert the previously detected linear features into pointlike energy clusters within the Hough domain, where we employ another CNN to concentrate the energies and pinpoint the most energetically significant points. By applying the inverse Hough transform to these points, we can reconstruct complete, distinct, and noisefree linear vehicle trajectories in the original timespace domain.
 Xie, D., X. Wu*, Z. Guo, H. Hong, B. Wang, and Y. Rong, 2023, Intelligent traffic monitoring with distributed acoustic sensing, submitted.
SeisCLIP: A seismology foundation model pretrained by multimodal data for multipurpose seismic feature extraction
SeisCLIP: 基于多模态数据的地震学预训练基础模型
 We introduce SeisCLIP: a foundation model for seismology, leveraging contrastive learning on multimodal data of seismic waveform spectra and the corresponding local and global event information. SeisCLIP consists of a transformerbased spectrum encoder and an MLPbased information encoder that are jointly pretrained on massive data. Remarkably, the pretrained spectrum encoder offers versatile features, enabling its application across diverse tasks and regions. Thus, it requires only modest datasets for finetuning to specific downstream tasks. Our evaluations demonstrate SeisCLIP's superior performance over baseline methods in tasks like event classification, localization, and focal mechanism analysis, even when using distinct datasets from various regions. In essence, SeisCLIP emerges as a promising foundational model for seismology, potentially revolutionizing foundationmodelbased research in the domain.
 Si, X., X. Wu*, H. Sheng, J. Zhu, and Z. Li, 2023, SeisCLIP: A seismology foundation model pretrained by multimodal data for multipurpose seismic feature extraction, IEEE TGRS, Vol. 62, pp. 113, Art no. 5903713. [Code], [PDF]
CNNbased interpretation of fault damage zones in 3D seismic data: 地震数据中破碎带智能刻画，填补实验室/露头数据空白
 We present a CNNbased method to automate the interpretation of fault damage zones (FDZ) in 3D seismic volumes, including the FDZ detection, 3D modeling, and quantitative estimation of the FDZ displacement and thickness. Through our seismic FDZ interpretation, we fill the observation gap for FDZs with fault displacements between 200 and 500 meters, a gap that typically exists in traditional laboratory and field outcrop data. Leveraging the estimated geometrical attributes, we can automatically perform scaling analysis of fault damage zones and gain further understanding of fault growth.
 Gao, H., X. Wu*, J. Li*, and Z. Liao, 2023, Deep learningbased interpretation of fault damage zones in 3D seismic data, JGR Solid Earth, submitted.
Multitask multistation earthquake monitoring:
An allinone seismic Phase picking, Location, and Association Network
Seismic PLAN(Phase picking, Location, & Association Network): 一种多台站多任务智能地震监测系统
 We propose a deep learningbased earthquake monitoring model that directly operates on multistation seismic data and achieves simultaneous phase picking, association, and location. To the best of our knowledge, this is the first multistation and multitask earthquake monitoring model developed in the field. It is informed with both interstation and intertask physical relationships to promote accuracy, interpretability and consistency among crossstation and crosstask predictions. Our work demonstrates that interstation and intertask constraints could be a keystone for nextgeneration earthquake monitoring systems.
 Si, X., X. Wu*, Z. Li*, S. Wang, and J. Zhu, 2023, Multitask multistation earthquake monitoring: An allinone seismic Phase picking, Location, and Association Network (PLAN), Communications Earth & Environment, Vol. 5(22). [PDF], [CODE].
FlexLogNet: a welllog completion method of adaptively using what you have to predict what you are missing
FlexLogNet: 有什么用什么，缺什么补什么
 We propose a hybrid deep learning method with two heads of graph neural network (GNN) and fully connected network (FCN) to achieve mutual prediction among multiple types of well logs. It can adaptively use all known well logs in actual data to predict any missing well log, achieving a very flexible and practical well log completion function of using what you have and completing what you are missing.
 Dai, C., X. Si, and X. Wu*, 2023, FlexLogNet: a flexible deep learningbased welllog completion method of adaptively using what you have to predict what you are missing, Computers & Geosciences, in revision.
Sensing prior constraints in deep neural networks for solving geophysical problems
在地球物理问题的深度学习解决方案中引入先验约束
 We present three general strategies to effectively incorporate geological and/or geophysical constraints into DNNs. They help address the main challenges of poor generalizability, weak interpretability and physical inconsistency that are commonly faced when applying DNNs to solve geophysical problems. In discussing each of the three strategies, we provide examples of applications to demonstrate their effectiveness.
 Wu, X., J. Ma*, S. Xu, Z. Bi, J. Yang, H. Gao, D. Xie, Z. Guo, and J. Zhang*, 2023, Sensing prior constraints in deep neural networks for solving geophysical problems, PNAS, Vol. 120(23), e2219573120. [PDF].
Deep learningbased sferics recognition for AMT data processing in the dead band
天电信号智能识别及其在“死频带”音频大地电磁数据处理中的应用
 In the audio magnetotellurics (AMT) sounding data processing, the absence of sferic signals in some time ranges typically results in a lack of energy in the AMT dead band, which may cause unreliable resistivity estimate. We propose a deep convolutional neural network (CNN) to automatically recognize sferic signals from redundantly recorded data in a long time range and use them to compensate for the resistivity estimation in the dead band.
 Jiang, E., R. Chen*, X. Wu*, J. Liu, D. Zhu, and W. Liu, 2023, Deep learning based sferics recognition for AMT data processing in the dead band, Geophysics, Vol. 88(5), B233–B250. [PDF].
Horizon controlled fewshot learning for seismic facies identification
基于层控约束下小样本学习的地震相智能识别
 We propose a seismic facies classification method based on fewshot learning with the constraints of prior models and present applications in real cases in China. This method can achieve a geologically reasonable facies identification with a very small amount of labeled seismic slices.
 Sun, X., Z. Bi, X. Wu*, Y. Ye, C. Yang, and H. Meng, 2022, Seismic facies identification based on fewshot learning with the constraints of seismic horizons, Geophysics, submitted.
Transformerbased multitask learning for RGT, horizons, and faults with prior constraints
先验约束下的RGT、层位和断层多任务Transformer架构实现
 We propose a transformerbased multitask learning (MTL) network to extract all horizons and detect faults simultaneously by estimating a relative geologic time (RGT) map as well as computing a fault map. We enable convenient human interactions by integrating manually interpreted horizons (or horizon segments) into the network, which imposes expert knowledge on the network to predict reasonable results from seismic images with complex fault systems, unconformities, and poor data quality.
 Yang, J., X. Wu*, Z. Bi, and Z. Geng, 2023, A multitask learning method for relative geologic time, horizons, and faults with prior information and transformer, IEEE TGRS, vol. 61, pp. 120, Art no. 5907720, doi: 10.1109/TGRS.2023.3264593. [PDF].
ClinoformNet: stratigraphic forward modeling and deep learning for seismic clinoform delineation
层序地层正演模拟与地震坡体智能识别
 We perform 3D stratigraphic forward modeling to simulate strata layers and their physical properties (e.g., porosity, velocity, impedance). We further perform geophysical forward modeling to generate synthetic seismic data and the corresponding stratigraphic labels which are used to train deep neural networks for the reverse process of interpreting stratigraphic stories behind the seismic data.
 Gao, H., X. Wu*, and J. Zhang, 2023, ClinoformNet1.0: stratigraphic forward modeling and deep learning for seismic clinoform delineation, GMD, Vol. 16(9), 2495–2513. [PDF].
Stratigraphic forward modeling, by Hui Gao
地层正演模拟, 高晖
 We have been working on forward numerical simulation of various geologic processes, which would be helpful for us to understand the geologic processes themselves and to imagine the geologic stories behind geophysical datasets. This example shows a numerical implementation of 2D stratigraphic forward modeling that is controlled by an initial topography, sea level curve, and thermal subsidence curve.
Deep learning for characterizing CO2 migration in timelapse seismic images
基于时延地震的CO2运移智能检测
 We propose a deeplearningbased method to efficient characterize CO2 plumes in timelapse seismic data. We train the deep neural network by using synthetic datasets with simulated diffusive CO2 plumes that are various in geometric features (e.g., shapes, sizes, and locations) and physical properties (e.g., densities and velocities). We applied the trained network work to the Sleipner timelapse seismic data and obtain reasonable CO2 plume predictions that are consistent with human interpretations. To more accurately characterize the CO2 plume migration, we use dynamic image warping to compute relative shifts that register the timelapse seismic volumes before and after CO2 injection and then apply the same shifts to the predicted CO2 plumes. By doing this, we are able to reduce the inconsistencies that may be introduced by acquisition, processing, pushdown effect (velocity decrease by injected CO2), and pullup effect (wavelet distortion), which is helpful to more accurately characterize the CO2 plume migration.
 Sheng, H., X. Wu*, X. Sun, and L. Wu, 2023, Deep learning for characterizing CO2 migration in timelapse seismic images, Fuel, Vol. 336, 126806. https://doi.org/10.1016/j.fuel.2022.126806. [PDF].
Stratal surfaces honoring seismic structures and interpreted geologic time surfaces
地震构造和地质等时面引导的混合地层切片方法
 In basin and regional interpretations, the assumption that seismic horizons represent a stratigraphic surface with constant geologic time may fail, however, when applied to local reservoir scales due to seismic resolution, complex depositional facies transition, and an indented stack of depositional units. To address this limitation, we develop a novel horizon extraction method honoring both seismic structures and timestratigraphic frameworks, in which seismic reflection structures provide local details and interpreted geologictime surfaces provide critical constraints in interpreting these reflection events not following geologic surfaces. First, we develop concepts and workflow using a realistic outcrop model. We propose using the improved geologyguided structure tensor by fitting a gradient vector of seismic image and the geological time surfaces. We also consider existing geologic conditions, such as unconformity, and fuse them into calculating accurate slopes and generating reliable relative geologic time (RGT) images at a fine scale, followed by making slices.
 Wang, F., X. Wu*, H. Zeng, X. Janson, and C. Kerans, 2022, Stratal surfaces honoring seismic structures and interpreted geologic time surfaces. Geophysics, Vol. 89(2), N45–N57. [PDF].
3D Implicit structural modeling with convolutional neural network
智能隐式构造建模
 Given sparse structural data points, implicit structural modeling computes a scalar field by solving partial differential equations (PDEs) to implicitly represent structural information of the subsurface. However, the PDEs might be insufficient to model highly complex structures in practice and may fail to reasonably fit a global structure trend when the known data are too sparse. In addition, solving the PDEs with iterative optimization solvers could be computationally expensive in 3D. We propose an efficient deep learning method using a convolution neural network to predict a scalar field from sparse structural data associated with multiple stratigraphic layers and faults. After training with synthetic datasets, our network is able to efficiently predict geologically reasonable and structurally consistent implicit models in field examples, opening new opportunities for improving the efficiency and accuracy of geological modeling.
 Bi, Z., X. Wu*, Z. Li, D. Chang, and X. Yong, 2022, DeepISMNET: 3D Implicit structural modeling with convolutional neural network. Geoscientific Model Development (GMD), Vol. 15(17), 6841–6861. [PDF].
Filling borehole image gaps with partial convolution neural network
基于部分卷积神经网络的成像测井空白带补全
 Due to the special design of borehole imaging tools, vertical strips of gaps often occur in borehole images. We propose a reasonable way to fill borehole image gaps through a convolutional neural network with partial convolution layers. The partial convolution helps eliminate the affects of the null data during the training by excluding the nulldata areas from convolutional computations in the forward and backward propagation of updating the network parameters. To solve the problem of missing training labels, we introduce a selfsupervised learning strategy to train the network to fill the image gaps from the image itself. We compare our method with a conventional method (implemented in the CIFLOG software) and two deeplearning based methods (DGP and DIP) by applying them to multiple real borehole images with various pattern features. Quantitative metrics show that our method is superior to the others.
 Jiang, L., X. Si, and X. Wu*, 2024, Filling borehole image gaps with partial convolution neural network. Geophysics, Vol. 89(2), D289–D98. [PDF].
Automatic velocity analysis with physicsconstrained optimal surface picking
基于物理约束最优面拾取的速度分析
 We propose a constrained optimal surface picking method to automatically pick a 2D velocity field from a 3D semblance volume with high efficiency and robustness. This method is improved from the 2D dynamic programming algorithm by incorporating both vertically physical constraints in the time direction and laterally smoothness constraints in the common midpoint (CMP) direction. The timedirection physical constraint ensures the picked velocity is positive when converted to interval velocity, which is helpful to avoid picking physically unreasonable velocities along the strong and spatially consistent semblance energy due to consistent noise or multiples (as shown in the left Fig. b). The CMPdirection smoothness constraint ensures the picked 2D velocity field is laterally continuous.
 Xue, Z. and X. Wu*, 2023, Automatic velocity analysis with physicsconstrained optimal surface picking. Geophysics, Vol. 88(3), U71–U80. [PDF].
Unsupervised contrastive learning for seismic facies characterization
无监督对比学习地震相分类
 We propose to leverage a onestage and endtoend contrastive learning framework without any manual labels to automatically analyze seismic facies. To improve lateral consistency, we input 3D seismic cubes, instead of traces, into the neural network. Besides, we treat seismic attributes as geologic constraints and feed them into the network along with the seismic cubes. Our contrastive learning method is used to maximize the similarities of the different cubes from the same position, and minimize the similarities of the cubes from different positions. In this way, we are able to enforce the samples with similar features to get close while push the samples with different features to be separated in the space where we make the seismic facies clustering. We apply this method to a field turbidite channel system and obtain a continuous and reasonable facies map.
 Li, J., X. Wu*, Y. Ye, C. Yang, Z. Hu, X. Sun, and T. Zhao, 2023, Unsupervised contrastive learning for seismic facies characterization, Geophysics, Vol. 88(1), WA81–WA89. [PDF].
基于声呐图像的海底线缆智能实时探测
Deep learning for realtime detection of submarine cables in sonar images
 近年来，我国海底通讯和监测线缆布设日益增长；同时，一些国家在我国周边海域布设了大量水下线缆监测系统，对我国领海安全造成严重威胁。因此，对海底线缆布设的探明是保障我国海洋开发和国防安全的当务之急。声呐技术是探测海底线缆的有效手段，但是在对海底进行大规模扫描过程中产生海量的声呐图像，面临图像处理耗时长和解译精度低等难题。本文提出一种基于卷积神经网络的缆线目标自动检测技术，实现对大量声呐图像数据端到端的快速、精确解译。该网络以编码器和解码器组成的U型架构，利用残差学习模块和跳连机制，能系统地聚合多尺度特征模式，并根据不同的特征动态生成索引函数，以指导不同尺度层级间的重采样操作和信息融合，从而实现对输入图像中所有不同尺度缆线目标体的精确且快速地识别。为获取足够多的样本数据以训练网络，我们提出一套方法流程来自动生成大量且逼真的声呐图像以及对应缆线标注。我们提出多种量化评价指标系统来对比评价了该网络和目前主流图像分割网络的性能表现。相对于其他主流图像分割网络，我们方法在多个合成数据测试和实际数据应用中均取得更好的效果。
 毕钲发, 刘杨, 伍新明*, 吴丽丽, 2022, 基于声呐图像的海底线缆智能实时探测 (Deep learning for realtime detection of submarine cables in sonar images), 地球物理学报, 已接收。
Deep learning for efficient microseismic location using source migrationbased imaging
基于深度学习的微地震定位
 Migrationbased location methods (e.g., time reversal imaging based on wave equation, Kirchhoff summation and diffraction stacking) are widely used to effectively locate events of low signal to noise ratios by stacking waveforms from many receivers. However, these methods may not produce accurate results if there are polarity reversals in the surface records for a doublecouple or even a general moment tensor event. We propose a deep convolutional neural network to predict a betterfocused image from a regular migration image that contains a quasi symmetric pattern in both space and time. Zhang, Q., W. Zhang*, X. Wu*, J. Zhang, W. Kuang, and X. Si, 2021, Deep Learning for efficient microseismic location using source migrationbased imaging. JGR, Solid Earth, 127(3), e2021JB022649. [PDF].
Toward accurate seismic flattening
走向精确地震体拉平
 Seismic flattening maps a seismic volume from the original space in depth to the Wheeler domain in geologic time where all the seismic reflections are horizontally aligned. It provides an efficient way to interpret a whole volume of horizons all at once by simply extracting horizontal slices in the flattened space. Conventional flattening methods, based on seismic local slopes, can locally flatten the seismic reflections, however, often fail to flatten the reflections in a global sense and cannot accurately align the reflections across faults. We propose an iterative method to improve the flattening by using both slopes and correlations of seismic traces. Wu X.*, Y. Li, and P. Sawasdee, 2022, Toward accurate seismic flattening: methods and applications. Geophysics, Geophysics, Vol. 87(5), IM177–IM188. [PDF].
Seismic structural interpretation and modeling
地震构造解释与建模
 We present a workflow to fully utilize seismic amplitudes, welllog properties, and interpreted seismic structures to build geologically reasonable models. We first automatically interpret structural features (e.g., faults and horizons) from a 3D seismic image. We then use the interpreted structural features to compute an implicit structural model. We further integrate the provided welllogs and the computed implicit structural model to interpolate a subsurface model that conforms to both welllog properties and seismic structural and stratigraphic features. Finally, we predict a final model with deep learning using seismic and welllog data and meanwhile introduce the initial model as lowfrequency constraints into the network. Yan, S., X. Sun, X. Wu*, S. Zhang, and H. Si, 2021, Building subsurface models with horizonguided interpolation and deep learning: applied to the Volve field. Geophysics, Vol. 87(4), B233–B245. [PDF].
Semisupervised salt segmentation using mean teacher
Mean teacher 半监督学习与盐丘分割
 We propose a semisupervised framework for salt segmentation, which requires only a small amount of labeled data. We adopt the mean teacher in our semisupervised method where two models sharing the same network architecture are trained together. The student model is optimized using a combination of supervised loss and unsupervised consistent loss, whereas the teacher model is the exponential moving average (EMA) of the student model. An unsupervised consistent loss is introduced to better extract information from unlabeled data by constraining the network to give consistent predictions for the input data and its perturbed version. We train and validate our novel semisupervised method on both synthetic and real dataset. Results demonstrate that our proposed semisupervised salt segmentation method outperforms the supervised method when there is a lack of labeled training data. Geng, Z., Z. Hu, X. Wu*, and S. Fomel 2021, Semisupervised salt segmentation using mean teacher. Interpretation, Vol. 10(3), SE21SE29. [PDF].
Deep learning for velocity model building with commonimage gathers
基于深度域成像道集的智能速度建模
 The features in the inaccurate commonimage gathers (a) migrated from a wrong velocity model (b) are significantly different from those in the accurate gathers (c) migrated from a true velocity model. This means that the residuals of the inaccurate gathers indicate the residuals of the velocity model compared to the true velocity model. We therefore use a deep CNN to analyze the features of inaccurate image gathers to update the initially wrong migration velocity model and obtain a more accurate model (d). Geng, Z., Z. Zhao, Y. Shi, X. Wu, S. Fomel, and M. Sen, 2022, Deep learning for velocity model building with commonimage gathers. GJI, 228, 1054–1070. [PDF].
A comparison of deep learning methods for seismic impedance inversion
深度学习波阻抗反演方法对比分析
 We experimentally reveal how network hyperparameters (number of features, kernel sizes, number of layers) and architectures affect the seismic inversion performance, and develop a series of methods which are proven to be effective in reconstructing highfrequency information in the estimated impedance model. Experiments demonstrate that the proposed multiscale architecture is helpful to reconstruct more highfrequency details than a conventional network. Besides, the reconstruction of highfrequency information can be further promoted by introducing a perceptual loss and a generative adversarial network from the computer vision perspective. More importantly, the experimental results provide valuable references for designing proper network architectures in the seismic inversion problem. Zhang, S., H. Si, X. Wu*, and S. Yan, 2021, A comparison of deep learning methods for seismic impedance inversion. Petroleum Science, Vol. 19(3), 10191030. [PDF].
Deep learning for multidimensional seismic impedance inversion
基于深度学习的多维波阻抗反演
 Most methods of deeplearning based impedance inversion are based on a 1D neural network which is straightforward to implement but often yields laterally unreasonable discontinuities in predicting a multidimensional impedance model tracebytrace. We improve the deep learning based impedance prediction by implementing it with a multidimensional CNN. Synthetic and field examples show that the proposed multidimensional CNN is more robust to noise, better recovers thin layers, and yields a laterally more consistent impedance model than a 1D CNN with the same network architecture and the same training logs. Wu, X., S. Yan, Z. Bi, S. Zhang, and H. Si, 2021, Deep learning for multidimensional seismic impedance inversion. Geophysics, Vol. 86(5), R735–R745. [PDF].
Kernel prediction network for common image gather stacking
基于预测卷积核的成像道集校正与叠加
 In the prestack depth migration, obtaining a highquality seismic image requires an accurate CIG where the diffractions are focused, the reflection events are flat and the depth of the events are correctly migrated. In practice, such an accurate CIG, however, is hard to obtain due to the errors of acquisition, processing, and the migration velocity model. We propose a kernel prediction neural network (KPN) to flatten the events, correct the depth of the improperly migrated events, and remove the noise and unfocused artifacts in CIGs (lowerleft image), and further yield an optimally stacked image (lowerright image).
Li, Z., X. Wu*, L. Liang, X. Jia, and W. Jiang, 2020, Kernel prediction network for common image gather stacking . SEG, accepted, Geophysics, in submission.
Deep learning for simultaneous seismic superresolution and denoising
基于深度学习的地震数据同时超分与去噪处理
 This work is done by Jintao Li (李金涛), a senior college student at University of Science and Technology of China. He is joining CIG in Fall, 2020.
 We propose a deep learning method to simultaneously improve the resolution of an input seismic image (a) and attenuate potential noise in the seismic, which allows us to obtain an output (b) with clearer and more detailed features (e.g., thin layers and sharp faults with small throws). Li, J., X. Wu* and Z. Hu, 2021, Deep learning for simultaneous seismic superresolution and denoising. IEEE TGRS, Vol. 60, pp. 111, [PDF]. [CODE].
(Highly cited paper)
Wavelet estimation and nonstretching NMO correction
地震子波估计与无畸变动校正
 This work is done by Hanlin (绳瀚林), a senior college student at University of Science and Technology of China. He is joining CIG in Fall, 2020.
 We propose a workflow (left image) for wavelet estimation and nonstretching NMO correction. In this workflow, we first estimate a wavelet based on the waveform stretching in the NMO correction. Secondly, we deconvolve the original CMP gather based on the estimated wavelet. Thirdly, we apply an improved NMO correction to the deconvolved CMP gather and obtain flattened reflectivities. We finally convolve the flattened and deconvolved gather with the estimated wavelet back to obtain a NMOcorrected gather without stretching artifacts. Sheng, H., X. Wu* and B. Zhang, 2022, Wavelet estimation and NMO correction. Geophysics, Vol. 87(3), V193–V203. [PDF].
Channel simulation and deep learning for channel interpretation in 3D seismic images
三维河道数值模拟与地震数据中河道体的智能识别
 This work is done by Hang Gao (高航), a senior college student at China University of Geosciences (Beijing). He is joining CIG in Fall, 2020.
 In this work, we propose a workflow to first numerically simulate meandering channel systems which are then integrated with folding structures to build realistic structural models. With such models, we are able to automatically generate numerous training seismic images and the corresponding channel labels. We consider the channel characterization in 3D seismic images as an image segmentation problem and design a 3D convolutional neural network (CNN) for the channel segmentation. We train the CNN by using synthetic datasets that are generated by using the proposed simulation workflow. The trained CNN works well to detect the meandering channel systems in field seismic images. Gao, H., X. Wu* and G. Liu, 2021, ChannelSeg3D: channel simulation and deep learning for channel interpretation in 3D seismic images. Geophysics, Vol. 86(4), IM73–IM83. [PDF]. [CODE].
Deep learning for paleokarst delineation
古岩溶溶洞智能识别
 This is a great collaboration with international researchers including Dr. Jie Qi from University of Oklahoma and Dr. Hongliu Zeng from the Bureau of Economic Geology.
 In this work, we propose a workflow to simulate realistic structural features of folding and paleokarst systems in 3D seismic images. We consider the paleokarst delineation in 3D seismic images as an image segmentation problem and design a deep convolutional neural network (CNN) for the paleokarst segmentation. We train the CNN by using synthetic datasets that are generated by using the proposed simulation workflow. The trained CNN works well to detect the paleokarst features in field seismic images (a) by computing a probability image (b), from which we are able to automatically extract the 3D paleokarst systems (c). Wu, X., S. Yan, J. Qi, and H. Zeng, 2020, Seismic simulation of paleokarst systems and deep learning for characterizing paleokarst features in 3D seismic images. JGR, Solid Earth, Vol. 125(9), 123, e2020JB019685. [PDF]
Numerical modeling of channels
 In order to understand the development of the channel systems, we have been working on the numerical simulation of meandering and delta channels. The cartoons on the left are Hang Gao's research with CIG. Hang Gao is currently a senior at China University of Geosciences (Beijing). He is joining CIG as a graduate student in the Fall of 2020. updated on Dec. 8th, 2019...
Multitask learning for seismic image processing
基于多任务学习的地震图像处理

We design a single convolutional neural network to simultaneously perform three image processing tasks:
 compute a clean and sharp fault image
 estimate a seismic normal vector field
 compute a smoothed seismic image with enhanced reflections and sharpened faults while noise removed
Wu, X., L. Liang, Y. Shi, Z. Geng and S. Fomel, 2019, Multitask learning for local seismic image processing: fault detection, structureoriented smoothing with edgepreserving, and seismic normal estimation by using a single CNN. GJI, Vol. 210(3), 20972109.
[PDF]
Building realistic structure models
基于多任务学习的地震图像处理
 We propose a workflow to automatically build diverse structure models with realistic folding and faulting features. In this workflow, with some assumptions about typical folding and faulting patterns, we simulate structural features in a 3D model by using a set of parameters. By randomly choosing the parameters from some predefined ranges, we are able to automatically generate numerous structure models with realistic and diverse structural features. Based on these structure models with known structural information, we further automatically create numerous synthetic seismic images and the corresponding ground truth of structural labels to train CNNs for structural interpretation in field seismic images. Accurate results of structural interpretation in multiple field seismic images show that the proposed workflow simulates realistic and generalized structure models from which the CNNs effectively learn to recognize real structures in field images.
 Wu, X., Z. Geng, Y. Shi, N. Pham, S. Fomel, and G. Caumon, 2019, Building realistic structure models to train convolutional neural networks for seismic structural interpretation. Geophysics, Vol. 85(4), WA27WA39. [PDF]
Deep learning floodfilling network
 We design a deep learning workflow to interactively track seismic geobodies, such as salt bodies and faults. The algorithm is based on a floodfilling network, which performs iterative segmentation and moving the field of view (FoV). Instead of an endtoend segmentation from the image to the classification mask, the proposed network takes the previous mask output, together with the seismic image in a new FoV, as a combined input to predict the mask at this FoV. The movement of the FoV is guided by the floodfilling algorithm in order to visit and segment the full extent of a geobody. Unlike the conventional seismic image segmentation methods that can only output attribute volumes, the proposed workflow can not only detect geobodies but also track individual geobody instances. Shi, Y. and X. Wu*, 2019, Interactive tracking of seismic geobodies using deep learning floodfilling network. Geophysics, Vol. 86(1), A1A5. [PDF]
Forward simulation of geologic process
 We have been working on forward numerical simulation of various geologic processes, which would be helpful for our geologic understanding or interpretation of geophysical datasets. This cartoon shows a simple implementation of 2D stratigraphic modeling.
Deep learning for estimating RGT and horizons
 Constructing a Relative Geologic Time (RGT) image from a seismic image is crucial for seismic structural and stratigraphic interpretation. In conventional methods, automatic RGT estimation from a seismic image is typically based on only local image features, which makes discontinuous structures (e.g., faults and unconformities) challenging to cope with. We consider the estimation of 2D RGT images as a regression problem, where we design a deep convolutional neural network (CNN) to directly and automatically compute an RGT image from a 2D seismic image. This CNN consists of three parts: an encoder, a decoder and a refinement module. We train this CNN by using 2080 pairs of synthetic input seismic images and target RGT images and then test it on 960 testing seismic images. Although trained with only synthetic images, the network can generate accurate results on real seismic images. Multiple field examples show that our CNNbased method is significantly superior to conventional methods, especially in dealing with complex structures such as crossing faults and complicatedly folded horizons, without the need of any manual picking.
 Geng, Z., X. Wu*, Y. Shi, S. Fomel, 2019, Deep learning for relative geologic time and seismic horizons. Geophysics, Vol. 85(4), WA87–WA100. [PDF].
Waveform embedding with unsupervised deep learning
 We propose an unsupervised approach, Waveform Embedding, based on a deep convolutional autoencoder network to learn to transform seismic waveform samples to a latent space in which any waveform can be represented as an embedded vector. The regularizing mechanism of the autoencoder ensures that similar waveform patterns are mapped to embedded vectors with shorter distance in the latent space. Within a search region, we transform all the waveform samples to latent space and compute their corresponding distance to the embedded vector of a control point that is set to the target horizon; we then convert the distance to a horizon probability map that highlights where the horizon is likely to be located. labels.
 Shi, Y., X. Wu*, and S. Fomel, 2020, Waveform embedding: automatic horizon picking with unsupervised deep learning. Geophysics, Vol. 85(4), WA67–WA76. [PDF].
Convolutional long shortterm memory network
 We propose a method to estimate missing well logs by using a bidirectional convolutional long shortterm memory (bidirectional ConvLSTM) cascaded with fully connected neural networks (FCNNs). We train the model on 177 wells from mature areas of the UK continental shelf (UKCS). We test the trained model on one blind well from UKCS, three wells from the Volve field in the Norwegian continental shelf (NCS), and one well from the Penobscot field in the Scotian shelf offshore Canada. The method takes into account the depth trend and the local shape of logs by using LSTM and convolutional architecture. The method is examined on sonic log prediction and can produce an accurate prediction of sonic logs from gammaray and density logs. The advantages of our method are that it is not applied on an interval by interval basis like rock physics based methods and it also outputs the uncertainties facilitated by a dropout layer and MonteCarlo sampling at inference time.
 Pham, N., X. Wu*, and E. Naeini, 2020, Missing well log prediction using convolutional long shortterm memory network. Geophysics, Vol. 85(4), WA159–WA171. [PDF].
FaultSeg3D: Using synthetic data sets to train a CNN for 3D seismic fault segmentation
 We consider fault detection as a binary image segmentation problem of labeling a 3D seismic image with ones on faults and zeros else where. We have performed an efficient imagetoimage fault segmentation using a supervised fully convolutional neural network. To train the network, we automatically create 200 3D synthetic seismic images and corresponding binary fault labeling images, which are shown to be sufficient to train a good fault segmentation network. After training with only the synthetic data sets, the network automatically learns to calculate rich and proper features that are important for fault detection. Multiple field examples indicate that the neural network (trained by only synthetic data sets) can predict faults from 3D seismic images much more accurately and efficiently than conventional methods.
 Wu, X., L. Liang, Y. Shi and S. Fomel, 2019, FaultSeg3D: using synthetic datasets to train an endtoend convolutional neural network for 3D seismic fault segmentation. Geophysics, Vol. 84(3), IM35IM45. [PDF] [CODE]. (Highly cited paper)
FaultNet3D: predicting fault probabilities, strikes, and dips with a single CNN
 We simultaneously estimate fault probabilities, strikes, and dips directly from a seismic image by using a single convolutional neural network (CNN). In this method, we assume a local 3D fault is a plane defined by a single combination of strike and dip angles. We assume the fault strikes and dips, respectively, are in the ranges of [0°, 360°) and [64°, 85°], which are divided into 577 classes corresponding to the situation of no fault and 576 different combinations of strikes and dips. We construct a 7layer CNN to classify the fault strike and dip in a local seismic cube and obtain the classification probability at the same time. With the fault probability, strike and dip estimated at some seismic pixel, we further compute a fault cube (centered at the pixel) with fault features elongated along the fault plane. By sliding the classification window within a full seismic image, we are able to obtain a lot of overlapping fault cubes which are stacked to compute three full images of enhanced and continuous fault probabilities, strikes, and dips.
 Wu, X., Y. Shi, S. Fomel, L. Liang, Q. Zhang and A. Yusifov, 2019, FaultNet3D: predicting fault probabilities, strikes and dips with a single convolutional neural network. IEEE TGRS, Vol. 57(11), 91389155. [PDF]
SaltSeg: automatic 3D salt segmentation using a deep CNN
 We have formulated the problem as 3D image segmentation and evaluated an efficient approach based on deep convolutional neural networks (CNNs) with an encoderdecoder architecture. To train the model, we design a data generator that extracts randomly positioned subvolumes from largescale 3D training data set followed by data augmentation, then feed a large number of subvolumes into the network while using salt/nonsalt binary labels generated by thresholding the velocity model as ground truth labels. We test the model on validation data sets and compare the blind test predictions with the ground truth. Our results indicate that our method is capable of automatically capturing subtle salt features from the 3D seismic image with less or no need for manual input. We further test the model on a field example to indicate the generalization of this deep CNN method across different data sets.
 Shi, Y., X. Wu* and S. Fomel, 2019, SaltSeg: Automatic 3D salt body segmentation using a deep convolutional neural network. Interpretation, SE113SE122. [PDF]
Normal fault populations in the Costa Rica Margin
 From the 3D seismic image (right above) acquired in Costa Rica subduction area (left above), we automatically compute more than 10 thousands 3D fault surfaces and their strikes, dips, and slips. With these computed highresolution fault positions and strikes, we are able to make the “blooming roses” (the cartoon below) to visualize the faultstrike variations with depth (or geologic time) and space.
Optimal surface voting
 We proposed a method to automatically pick optimal surfaces from an input fault attribute image (a) and use the surfaces to vote for an enhanced fault image (b), from which we further automatically construct fault surfaces (c). Our parallel implementation of this method takes only seconds for this example.
 Wu, X. and S. Fomel, 2018, Automatic fault interpretation with optimal surface voting. Geophysics, Vol. 83(5), O67O82. [PDF] [CODE]
The corresponding software package has been widely used in industry. One of xinming's favorite work
Leastsquares horizons
 We have developed a novel method to compute horizons that globally fit the local slopes and multigrid correlations of seismic traces. In this method, we first estimate local reflection slopes by using structure tensors and compute laterally multigrid slopes by using dynamic time warping (DTW) to correlate seismic traces within multiple laterally coarse grids. These coarsegrid slopes can correctly correlate reflections that may be significantly dislocated by faults or other discontinuous structures. Then, we compute a horizon by fitting, in the leastsquares sense, the slopes of the horizon with the local reflection slopes and multigrid slopes or correlations computed by DTW.
 Wu, X. and S. Fomel, 2018, Leastsquares horizons with local slopes and multigrid correlations, Geophysics, Vol. 83(4), IM29–IM40. [PDF] [CODE]
 Best Paper, Honorable Mention, 2018
Interactive salt boundary picking
 In this method, we first pick a few points to interpolate an initial curve that is close to the true salt boundary. These points are picked near the salt boundary but are not required to be exactly on the boundary, which makes human interactions convenient and efficient. We then resample the envelope image in a band area centered at the initial curve to obtain a new image where the true salt boundary is an open curve extending from left to right. We then extract the salt boundary in the new image using an optimalpath picking algorithm, which is robust to track a highly discontinuous salt boundary by picking the optimal path with globally maximum envelope values. We finally map the picked path back to the original image to obtain a final salt boundary.
 Wu, X., S. Fomel, and M. Hudec, 2018, Fast salt boundary interpretation with optimal path picking. Geophysics, Vol. 83(3), O45–O53. [PDF] [CODE]
Incremental correlation of well logs
 In this method, we first automatically compute an optimal path that starts with longer logs and follows geologically more continuous structures. We then use the dynamic warping technique to sequentially correlate the logs following the path. To avoid potential error propagation with the path, we modify the dynamic warping algorithm to use all the previously correlated logs as references to correlate the current log in the path. During the sequential correlations, we compute geologic distances between the current log and all the reference logs. Such distances are proportional to Euclidean distances but increase dramatically across discontinuous structures such as faults and unconformities that separate the current log from the reference logs. We also compute correlation confidences to provide quantitatively quality control of the correlation results. We use both the geologic distances and correlation confidences to weight the references in correlating the current log.
 Wu, X., Y. Shi, S. Fomel, and F. Li, 2018, Incremental correlation of multiple well logs following geologically optimal neighbors. Interpretation, Vol. 6(3), T713–T722. [PDF]
Regularization in geophysical inversion
 Geophysical inversion is often illposed because of inaccurate and insufficient data. Regularization is often applied to the inversion problem to obtain a stable solution by imposing additional constraints on the model. Common regularization schemes impose isotropic smoothness on solutions and may have difficulties in obtaining geologically reasonable models that are often supposed to be anisotropic and conform to subsurface structural and stratigraphic features. Xinming introduces a general method to incorporate constraints of seismic structural and stratigraphic orientations and fault slips into geophysical inversion problems. He first uses a migrated seismic image to estimate structural and stratigraphic orientations and fault slip vectors that correlate fault blocks on opposite sides of a fault. He then uses the estimated orientations and fault slips to construct simple and convenient anisotropic regularization operators in inversion problems to spread information along structural and stratigraphic orientations and across faults. In this way, we are able to compute inverted models that conform to seismic reflectors, faults, and stratigraphic features such as channels. The regularization is also helpful to integrate welllog properties into the inversion by spreading the measured rock properties away from the welllog positions into the whole inverted model across faults and along structural and stratigraphic orientations.
 Wu, X., 2017, Structure, stratigraphy, and faultguided regularization in geophysical inversion. Geophysical Journal International, Vol. 210(1), 184195. [PDF]
Simultaneous multiple wellseismic ties
 Most methods tie multiple wells to seismic data onebyone, hence do not guarantee lateral consistency among multiple well ties. We propose to simultaneously tie multiple wells by first flattening synthetic and real seismograms so that all seismic reflectors are horizontally aligned. By doing this, we turn multiple wellseismic tying into a 1D correlation problem. We then simply compute only verticallyvariant but laterallyconstant shifts to correlate these horizontally aligned (flattened) synthetic and real seismograms. This twostep correlation method maintains lateral consistency among multiple well ties by computing a laterally and vertically optimized correlation of all synthetic and real seismograms.
 Wu, X. and G. Caumon, 2017, Simultaneous multiple wellseismic ties with flattened synthetic and real seismograms. Geophysics, Vol. 82(1), IM13IM20. [PDF]
Subsurface modeling
 Xinming proposed an automatic method to fully use both seismic and borehole data to build subsurface models that honor borehole measurements and conform to seismic horizons, faults, unconformities, and stratigraphic features such as channels. In this method, he first automatically removes the faulting and folding in both seismic and borehole data and map them into a flattened space, in which seismic reflectors and borehole measurements corresponding to the same geologic layers are horizontally aligned. He then builds a subsurface model in this flattened space by computing a sequence of 2D horizontal interpolations of well logs. Each horizontal interpolation is guided by the stratigraphic features apparent in the corresponding horizontal seismic slice, so that the interpolant conforms to the seismic stratigraphic features. He finally maps the interpolated model back into the input space and obtain a subsurface model that honors both the seismic and borehole data.
 Wu, X., 2017, Building 3D subsurface models conforming to seismic structural and stratigraphic features. Geophysics, Vol.82(3), IM21IM30. [PDF]
Structure and stratigraphyoriented smoothing
 We proposed a method to efficiently enhance seismic reflections, faults, and channels in a 3D seismic image while at the same time computing a mapping of faults and channels.
 Wu, X. and Z. Guo, 2019, Detecting faults and channels while enhancing seismic structural and stratigraphic features. Interpretation, Vol. 7(1), T155–T166. [PDF] [CODE]
Estimating seismic structural and stratigraphic orientations
 Conventional structuretensor method often generates significant errors in estimating orientations of the reflections with steep and rapidly varying slopes. To better estimate reflection orientations, we propose to construct structure tensors in a new space, where the reflections are mostly flat or only slightly dipping and the variation of reflection slopes is reduced. We use these constructed structure tensors to compute reflection normals in this new space and then transform the normals back to obtain a better estimation of reflection orientations in the original space. Seismic stratigraphic features such as channels are often aligned within dipping reflections. It is not discussed previously by others to estimate orientations of such features directly from a seismic image. An ideal way to estimate stratigraphic orientations is to first extract a horizon surface with stratigraphic features, and then construct structure tensors with gradients on the surface to estimate the orientations of the features. However, extracting horizon surfaces can be a difficult and timeconsuming task in practice. Fortunately, computing gradients on a horizon surface is only a local operation and is equivalent to directly compute directional derivatives along reflection slopes without picking horizons. Based on this observation, we propose to use an equivalent but more efficient way to estimate seismic stratigraphic orientations by using structure tensors constructed with the directional derivatives along reflections.
 Wu, X. and X., Janson, 2017, Directional structure tensors in estimating seismic structural and stratigraphic orientations. Geophysical Journal International, Vol. 210(1), 534548. [PDF]
Enhanced coherence
 A coherence image can be computed from the eigenvalues of conventional structure tenors, which are outer products of gradients of a seismic image. Xinming proposes a simple but effective method to improve such a coherence image by using directional structure tensors, which are different from the conventional structure tensors in only two aspects. Firstly, instead of using image gradients with vertical and horizontal derivatives, he uses directional derivatives, computed in directions perpendicular and parallel to seismic structures (reflectors), to construct directional structure tensors. With these directional derivatives, lateral seismic discontinuities, especially those subtle stratigraphic features aligned within dipping structures, can be better captured in the structure tensors. Secondly, instead of applying Gaussian smoothing to each element of the constructed structure tensors, He applies approximately fault and stratigraphyoriented smoothing to enhance the lateral discontinuities corresponding to faults and stratigraphic features in the structure tensors.
 Wu, X., 2017, Directional structuretensor based coherence to detect seismic channels and faults. Geophysics, Vol. 82(2), A13A17. [PDF]
 This paper was recognized as “Geophysics Bright Spots” by The Leading Edge
Salt likelihood and salt boundary surface
 From a 3D seismic image, Xinming first efficiently computes a salt likelihood image, in which the ridges of likelihood values indicate locations of salt boundaries. He then extracts salt samples on the ridges. These samples can be directly connected to construct salt boundaries in cases when salt structures are simple and the boundaries are clean. In more complicated cases, these samples may be noisy and incomplete, and some of the samples can be outliers unrelated to salt boundaries. Therefore, he finally develops a method to accurately fit noisy salt samples, reasonably fill gaps, and handle outliers to simultaneously construct multiple salt boundaries. In this step of constructing salt boundaries, he also proposes a convenient way to incorporate human interactions to obtain more accurate salt boundaries in especially complicated cases.
 Wu, X., 2016, Methods to compute salt likelihoods and extract salt boundaries from 3D seismic images. Geophysics, 81(6), IM119IM126. [PDF]
Unfaulting and flattening
 We developed two methods to compute vector shifts that simultaneously move fault blocks and the faults themselves to obtain an unfaulted image with minimal distortions. For both methods, we use estimated fault positions and slip vectors to construct unfaulting equations for image samples alongside faults, and we construct simple partial differential equations for samples away from faults. We solve these two different kinds of equations simultaneously to compute unfaulting vector shifts that are continuous everywhere except at faults.
 Wu, X., S. Luo, and D. Hale, 2016, Moving faults while unfaulting 3D seismic images. Geophysics, 81(2), IM25IM33. [PDF]
 Technical talk: https://www.youtube.com/watch?v=gDxfLuYf3C8
 Recognized as “Geophysics Bright Spots” by The Leading Edge
Fault scanning and fault surface construction
 Numerous methods have been proposed to automatically extract fault surfaces from 3D seismic images, and those surfaces are often represented by meshes of triangles or quadrilaterals. Such mesh data structures are more complex than the arrays used to represent seismic images, and are more complex than necessary for subsequent processing tasks, such as that of automatically estimating fault slip vectors. To facilitate image processing for faults, we propose a simpler linked data structure in which each sample of a fault corresponds to exactly one image sample. Using this linked data structure, we extracted multiple intersecting fault surfaces from 3D seismic images. We then used the same structure in subsequent processing to estimate fault slip vectors, and to assess the accuracy of estimated slips by unfaulting the seismic images.
 Wu, X. and D. Hale, 2016, 3D seismic image processing for faults. Geophysics, 81(2), IM1–IM11. [PDF] [CODE]
 Technical talk: https://www.youtube.com/watch?v=wp6Vhv3BxBE
 2016 Best Paper Award in Geophysics
3D seismic image processing for unconformities
 We propose a 3D seismic unconformity attribute to detect complete unconformities, highlighting both their termination areas and correlative conformities. We then extract unconformity surfaces on the ridges of the unconformity attribute image. These detected unconformities are further used as constraints to more accurately estimate seismic normal vectors at unconformities. Then, using seismic normal vectors and detected unconformities as constraints, we can better flatten seismic images containing unconformities.
 Wu, X. and D. Hale, 2015, 3D seismic image processing for unconformities. Geophysics, 80 (2), IM35IM44. [PDF]
 Technical talk: https://www.youtube.com/watch?v=RjhtCvexHhY
 This paper was recognized as “Geophysics Bright Spots” by The Leading Edge
Seismic horizon volumes
 We propose two methods for constructing seismic horizons aligned with reflectors in a 3D seismic image. The first method extracts horizons one at a time; the second generates at once an entire volume of horizons. The most significant new aspect of both methods is the ability to specify, perhaps interactively during interpretation, a small number of control points that may be scattered through out a 3D seismic image. Examples show that control points enable the accurate extraction of horizons from seismic images in which noise, unconformities, and faults are apparent. These points represent constraints that we implement simply as preconditioners in the conjugate gradient method used to construct horizons.
 Wu, X. and D. Hale, 2015, Horizon volumes with interpreted constraints. Geophysics, 80 (2), IM21IM33. [PDF]
 Technical talk: https://www.youtube.com/watch?v=w6wtf20OwCM
 This paper was recognized as “Geophysics Bright Spots” by The Leading Edge
Horizon surface extraction
 We first introduce a globally optimal method to efficiently extract a horizon from a seismic image. We then use scattered control points as constraints to enable our horizonextraction method to extract sequence boundaries. Finally, we propose an activesurface method to refine the globally optimized horizons to align with amplitude peaks or troughs and thereby reveal more geologic details.
 The cartoon shows Xinming's interactive implementation of this algorithm for Transform/Drillinginfo during his 2014 summer intern.
 Wu, X. and D. Hale, 2013, Extracting horizons and sequence boundaries from 3D seismic images. 83rd Annual International Meeting, SEG. [Expanded Abstracts]
 Technical talk: https://www.youtube.com/watch?
Graphcutbased phase unwrapping
 We propose a robust phase unwrapping method to compute a relative geologic time volume from a 3D seismic instantaneous phase volume. We provide a convenient way to incorporate interpreted horizons and unconformities into our phase unwrapping method to obtain more reliable results in cases complicated by noise, faults, and unconformities. Using a computed RGT volume, we further automatically generate a 3D seismic Wheeler volume.
 Wu, X. and G. Zhong, 2012, Generating a relative geologic time volume by improved 3D graphcutbased phase unwrapping method with horizon and unconformity constraints. Geophysics, 77 (4), O21O34. [PDF]