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Iterative data-driven construction of surrogates for an efficient Bayesian identification of oil spill source parameters from image contours 迭代数据驱动的代用物构建,用于从图像轮廓中高效贝叶斯识别溢油源参数
IF 2.5 3区 地球科学 Q1 Mathematics Pub Date : 2024-05-09 DOI: 10.1007/s10596-024-10288-9
Samah El Mohtar, Olivier Le Maître, Omar Knio, Ibrahim Hoteit

Identifying the source of an oil spill is an essential step in environmental forensics. The Bayesian approach allows to estimate the source parameters of an oil spill from available observations. Sampling the posterior distribution, however, can be computationally prohibitive unless the forward model is replaced by an inexpensive surrogate. Yet the construction of globally accurate surrogates can be challenging when the forward model exhibits strong nonlinear variations. We present an iterative data-driven algorithm for the construction of polynomial chaos surrogates whose accuracy is localized in regions of high posterior probability. Two synthetic oil spill experiments, in which the construction of prior-based surrogates is not feasible, are conducted to assess the performance of the proposed algorithm in estimating five source parameters. The algorithm successfully provided a good approximation of the posterior distribution and accelerated the estimation of the oil spill source parameters and their uncertainties by an order of 100 folds.

确定油类泄漏源是环境取证的重要步骤。贝叶斯方法可以根据现有的观察结果估算出油类泄漏源参数。然而,对后验分布进行采样可能会导致计算量过大,除非用廉价的替代品取代前验模型。然而,当前瞻性模型表现出强烈的非线性变化时,构建全局精确的代用模型可能具有挑战性。我们提出了一种数据驱动的迭代算法,用于构建多项式混沌代用模型,其准确性被定位在后验概率较高的区域。在两个合成溢油实验中,构建基于先验概率的代用值是不可行的,我们对所提出的算法在估计五个源参数方面的性能进行了评估。该算法成功地提供了后验分布的良好近似值,并将溢油源参数及其不确定性的估算速度提高了 100 倍。
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引用次数: 0
Automation of the meshing process of geological data 地质数据网格划分过程自动化
IF 2.5 3区 地球科学 Q1 Mathematics Pub Date : 2024-05-07 DOI: 10.1007/s10596-024-10290-1
Sui Bun Lo, Oubay Hassan, Jason Jones, Xiaolong Liu, Nevan C Himmelberg, Dean Thornton

This work proposes a novel meshing technique that is able to extract surfaces from processed seismic data and integrate surfaces that were constructed using other extraction techniques. Contrary to other existing methods, the process is fully automated and does not require any user intervention. The proposed system includes an approach for closing the gaps that arise from the different techniques used for surface extraction. The developed process is able to handle non-manifold domains that result from multiple surface intersections. Surface and volume meshing that comply with user specified mesh control techniques are implemented to ensure the desired mesh quality. The integrated procedures provide a unique facility to handle geotechnical models and accelerate the generation of quality meshes for geophysics modelling. The developed procedure enables the creation of meshes for complex reservoir models to be reduced from weeks to a few hours. Various industrial examples are shown to demonstrate the practicable use of the developed approach to handle real life data.

这项工作提出了一种新颖的网格划分技术,能够从处理过的地震数据中提取曲面,并整合使用其他提取技术构建的曲面。与其他现有方法不同的是,该过程完全自动化,无需用户干预。建议的系统包括一种方法,用于弥补曲面提取所用不同技术产生的差距。所开发的流程能够处理由多个表面交点形成的非芒格域。采用符合用户指定网格控制技术的曲面和体积网格划分,以确保所需的网格质量。集成程序为处理岩土模型提供了独特的工具,并加快了地球物理建模所需的高质量网格的生成。所开发的程序可将复杂储层模型的网格创建时间从几周缩短到几小时。各种工业实例展示了所开发的方法在处理实际数据方面的实用性。
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引用次数: 0
Constrained pressure-temperature residual (CPTR) preconditioner performance for large-scale thermal CO $$_2$$ injection simulation 用于大规模一氧化碳_2$$注入热模拟的受限压力-温度残差(CPTR)预处理器的性能
IF 2.5 3区 地球科学 Q1 Mathematics Pub Date : 2024-05-01 DOI: 10.1007/s10596-024-10292-z
Matthias A. Cremon, Jacques Franc, François P. Hamon

This work studies the performance of a novel preconditioner, designed for thermal reservoir simulation cases and recently introduced in Roy et al. (SIAM J. Sci. Comput. 42, 2020) and Cremon et al. (J. Comput. Phys. 418C, 2020), on large-scale thermal CO(_2) injection cases. For Carbon Capture and Sequestration (CCS) projects, injecting CO(_2) under supercritical conditions is typically tens of degrees colder than the reservoir temperature. Thermal effects can have a significant impact on the simulation results, but they also add many challenges for the solvers. More specifically, the usual combination of an iterative linear solver (such as GMRES) and the Constrained Pressure Residual (CPR) physics-based block-preconditioner is known to perform rather poorly or fail to converge when thermal effects play a significant role. The Constrained Pressure-Temperature Residual (CPTR) preconditioner retains the (2times 2) block structure (elliptic/hyperbolic) of CPR but includes the temperature in the elliptic subsystem. Doing so allows the solver to appropriately handle the long-range, elliptic part of the parabolic energy equation. The elliptic subsystem is now formed by two equations, and is dealt with by the system-solver of BoomerAMG (from the HYPRE library). Then a global smoother, ILU(0), is applied to the full system to handle the local, hyperbolic temperature fronts. We implemented CPTR in the multi-physics solver GEOS and present results on various large-scale thermal CCS simulation cases, including both Cartesian and fully unstructured meshes, up to tens of millions of degrees of freedom. The CPTR preconditioner severely reduces the number of GMRES iterations and the runtime, with cases timing out in 24h with CPR now requiring a few hours with CPTR. We present strong scaling results using hundreds of CPU cores for multiple cases, and show close to linear scaling. CPTR is also virtually insensitive to the thermal Péclet number (which compares advection and diffusion effects) and is suitable to any thermal regime.

这项工作研究了一种新型预处理器的性能,这种预处理器是为热储层模拟案例设计的,最近在 Roy 等人(SIAM J. Sci. Comput. 42, 2020)和 Cremon 等人(J. Comput. Phys. 418C, 2020)的文章中介绍了它在大规模热 CO(_2) 注入案例中的性能。对于碳捕集与封存(CCS)项目而言,在超临界条件下注入 CO(_2) 通常比储层温度低几十度。热效应会对模拟结果产生重大影响,但也会给求解器带来许多挑战。更具体地说,众所周知,迭代线性求解器(如 GMRES)和基于约束压力残余(CPR)的物理分块预处理器的常规组合在热效应起重要作用时,会表现不佳或无法收敛。约束压力-温度残差(CPTR)预处理器保留了 CPR 的 (2times 2) 块结构(椭圆/双曲),但在椭圆子系统中包含了温度。这样,求解器就能适当处理抛物能量方程的长程椭圆部分。椭圆子系统现在由两个方程组成,由 BoomerAMG(来自 HYPRE 库)的系统求解器处理。然后,全局平滑器 ILU(0) 被应用于整个系统,以处理局部双曲温度锋。我们在多物理场求解器 GEOS 中实施了 CPTR,并展示了各种大规模热 CCS 模拟案例的结果,包括笛卡尔网格和完全非结构网格,自由度高达数千万。CPTR 前处理程序大大减少了 GMRES 的迭代次数和运行时间,以前使用 CPR 时需要 24 小时,现在使用 CPTR 时只需几小时。我们在多个案例中使用数百个 CPU 内核得出了强大的扩展结果,并显示出接近线性的扩展。CPTR 对热佩克莱特数(比较平流和扩散效应)也几乎不敏感,适用于任何热环境。
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引用次数: 0
Sparrow search algorithm-driven clustering analysis of rock mass discontinuity sets 麻雀搜索算法驱动的岩块不连续集聚类分析
IF 2.5 3区 地球科学 Q1 Mathematics Pub Date : 2024-04-23 DOI: 10.1007/s10596-024-10287-w
Wenxuan Wu, Wenkai Feng, Xiaoyuan Yi, Jiachen Zhao, Yongjian Zhou
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引用次数: 0
Robust inversion of 1D magnetotelluric data using the Huber loss function 利用 Huber 损失函数对一维磁突触数据进行稳健反演
IF 2.5 3区 地球科学 Q1 Mathematics Pub Date : 2024-04-23 DOI: 10.1007/s10596-024-10286-x
Elfitra Desifatma, I. Djaja, P. M. Pratomo, Supriyadi, E. Mustopa, M. Evita, M. Djamal, Wahyu Srigutomo
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引用次数: 0
Speeding up the reservoir simulation by real time prediction of the initial guess for the Newton-Raphson’s iterations 通过实时预测牛顿-拉斐森迭代的初始猜测,加快水库模拟速度
IF 2.5 3区 地球科学 Q1 Mathematics Pub Date : 2024-04-09 DOI: 10.1007/s10596-024-10284-z
Musheg Petrosyants, Vladislav Trifonov, Egor Illarionov, Dmitry Koroteev

We study linear models for the prediction of the initial guess for the nonlinear Newton-Raphson solver. These models use one or more of the previous simulation steps for prediction, and their parameters are estimated by the ordinary least-squares method. A key feature of the approach is that the parameter estimation is performed using data obtained directly during the simulation and the models are updated in real time. Thus we avoid the expensive process of dataset generation and the need for pre-trained models. We validate the workflow on a standard benchmark Egg dataset of two-phase flow in porous media and compare it to standard approaches for the estimation of initial guess. We demonstrate that the proposed approach leads to reduction in the number of iterations in the Newton-Raphson algorithm and speeds up simulation time. In particular, for the Egg dataset, we obtained a 30% reduction in the number of nonlinear iterations and a 20% reduction in the simulation time.

我们研究了预测非线性牛顿-拉斐森求解器初始猜测的线性模型。这些模型使用一个或多个先前的模拟步骤进行预测,其参数用普通最小二乘法估算。这种方法的一个主要特点是,参数估计是利用在模拟过程中直接获得的数据进行的,而且模型是实时更新的。因此,我们避免了昂贵的数据集生成过程,也不需要预先训练模型。我们在多孔介质中两相流的标准基准 Egg 数据集上验证了该工作流程,并将其与估计初始猜测的标准方法进行了比较。我们证明,所提出的方法减少了牛顿-拉夫逊算法的迭代次数,加快了模拟时间。特别是在 Egg 数据集上,我们减少了 30% 的非线性迭代次数,并缩短了 20% 的模拟时间。
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引用次数: 0
A method for developing and calibrating optimization techniques for oil production management strategy applications 开发和校准石油生产管理策略应用优化技术的方法
IF 2.5 3区 地球科学 Q1 Mathematics Pub Date : 2024-04-08 DOI: 10.1007/s10596-024-10282-1
Leandro H. Danes, Guilherme D. Avansi, Denis J. Schiozer

The hydrocarbon extraction process is complex and involves numerous design variables and mitigating risk. Numerous time-consuming simulations are required to maximize objective functions such as NPV from a particular field while contemplating a significant representation of uncertainty scenarios and various production strategies. Production strategies searches may result in a high-dimensional search space which can yield sub-optimal reservoir economical exploration. As a solution, appropriate optimization algorithms selection and tuning may provide good solutions with lesser simulations. This paper presents a methodology to calibrate, develop, and select optimization algorithms for oil production strategy applications while quantifying the dimension and optimum location effects. Global optimum location altered the best method to be selected. It presents a novel algorithm (ASLHC) and a modification of the Nelder-Mead method (NMNS) to improve its high dimensionality performance. Performances of six pre-calibrated techniques were compared using novel normalized mathematical functions. Optimizations were limited to a 500 evaluation functions computational budget. The PSO, ASLHC, NMNS, and IDLHC were selected and implemented to perform production strategy improvements regarding two parameterizations of the reservoir management variables for a real reservoir model with restricted platform. Results showed the implemented algorithms successfully improved NPV by at least 8% at each of the 24 real-case optimizations. After upscaling the selected techniques for a 115 variable parameterization, the NMNS and IDLHC demonstrated good resilience against local convergence and each technique kept improving during all iterations of the process. An optimization method recommendation chart is presented based on the computational budget of the application.

碳氢化合物开采过程十分复杂,涉及众多设计变量和降低风险。需要进行大量耗时的模拟,以最大限度地实现目标函数,如特定油田的净现值,同时考虑大量的不确定情况和各种生产策略。生产策略搜索可能会导致高维搜索空间,从而产生次优的储层经济勘探。作为一种解决方案,选择和调整适当的优化算法可以在较少模拟的情况下提供良好的解决方案。本文介绍了一种校准、开发和选择石油生产策略应用优化算法的方法,同时量化了维度和最优位置的影响。全局最优位置改变了最佳选择方法。它提出了一种新算法(ASLHC)和对 Nelder-Mead 方法(NMNS)的修改,以提高其高维性能。使用新型归一化数学函数对六种预校准技术的性能进行了比较。优化仅限于 500 个评估函数的计算预算。选择并实施了 PSO、ASLHC、NMNS 和 IDLHC,针对一个平台受限的真实油藏模型,对油藏管理变量的两个参数化进行了生产策略改进。结果表明,所实施的算法在 24 次实际优化中,每次都成功地将净现值提高了至少 8%。在对 115 个变量参数化所选技术进行升级后,NMNS 和 IDLHC 显示出良好的抗局部收敛能力,并且每种技术在所有迭代过程中都在不断改进。根据应用的计算预算,提出了优化方法推荐图。
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引用次数: 0
Improvements in the genetic algorithm inversion of receiver functions using extinction and a new selection approach 利用消光和新的选择方法改进接收器函数的遗传算法反演
IF 2.5 3区 地球科学 Q1 Mathematics Pub Date : 2024-04-06 DOI: 10.1007/s10596-024-10283-0
Admore Phindani Mpuang, Takuo Shibutani

Despite the robustness of standard genetic algorithms in receiver functions inversion for crustal and uppermost mantle velocity-depth structure, one drawback is that towards the end of a ‘run’, only a few variations in solution ideas are explored. This may lead to the stagnation of the optimization process and can be a major drawback for large model dimensions. To mitigate this problem, we introduced a new selection method that retains the best features of explored models, with an extinction procedure that increases the exploration of the model space through the principle of self-organized criticality. We test the performance of the modified genetic algorithm technique by applying it to the inversion of synthetically generated receiver functions for crustal velocity structure and comparing the results with those obtained using a standard genetic algorithm. The test cases involve using 2 different objective functions, based on the L2 norm and cosine similarity, with 2 different model parameterizations of different model sizes. The results show that our modified genetic algorithm improves the inversion process by consistently obtaining best models with the lowest misfit values and a distribution of best models with less deviations from the true model values. With an improvement of computation time of up to 11.2%, the results suggest that the modified genetic algorithm is best suited to obtain higher accuracy results in shorter computation times which will be especially useful for higher dimension models needing larger pool sizes.

尽管标准遗传算法在地壳和最上层地幔速度-深度结构的接收函数反演中具有很强的鲁棒性,但它的一个缺点是,在 "运行 "即将结束时,只能探索几种不同的求解思路。这可能会导致优化过程停滞不前,对于大尺寸模型来说可能是一个主要缺点。为了缓解这一问题,我们引入了一种新的选择方法,这种方法可以保留已探索模型的最佳特征,并通过自组织临界性原理增加对模型空间的探索。我们测试了改进遗传算法技术的性能,将其用于反演合成生成的地壳速度结构接收函数,并将结果与使用标准遗传算法获得的结果进行比较。测试案例包括使用基于 L2 准则和余弦相似性的 2 个不同目标函数,以及 2 个不同模型大小的不同模型参数化。结果表明,我们改进的遗传算法能持续获得误拟合值最小的最佳模型,以及与真实模型值偏差较小的最佳模型分布,从而改进了反演过程。计算时间最多可缩短 11.2%,结果表明,改进后的遗传算法最适合在较短的计算时间内获得更高精度的结果,这对需要较大池规模的高维度模型尤其有用。
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引用次数: 0
Analysis of the hyperparameter optimisation of four machine learning satellite imagery classification methods 四种机器学习卫星图像分类方法的超参数优化分析
IF 2.5 3区 地球科学 Q1 Mathematics Pub Date : 2024-04-05 DOI: 10.1007/s10596-024-10285-y
Francisco Alonso-Sarría, Carmen Valdivieso-Ros, Francisco Gomariz-Castillo

The classification of land use and land cover (LULC) from remotely sensed imagery in semi-arid Mediterranean areas is a challenging task due to the fragmentation of the landscape and the diversity of spatial patterns. Recently, the use of deep learning (DL) for image analysis has increased compared to commonly used machine learning (ML) methods. This paper compares the performance of four algorithms, Random Forest (RF), Support Vector Machine (SVM), Multilayer Perceptron (MLP) and Convolutional Network (CNN), using multi-source data, applying an exhaustive optimisation process of the hyperparameters. The usual approach in the optimisation process of a LULC classification model is to keep the best model in terms of accuracy without analysing the rest of the results. In this study, we have analysed such results, discovering noteworthy patterns in a space defined by the mean and standard deviation of the validation accuracy estimated in a 10-fold cross validation (CV). The point distributions in such a space do not appear to be completely random, but show clusters of points that facilitate the discovery of hyperparameter values that tend to increase the mean accuracy and decrease its standard deviation. RF is not the most accurate model, but it is the less sensitive to changes in hyperparameters. Neural Networks, tend to increase commission and omission errors of the less represented classes because their optimisation lead the model to learn better the most frequent classes. On the other hand, RF and MLP prediction layers are the most accurate from a general qualitative point of view.

在半干旱的地中海地区,由于景观的破碎化和空间模式的多样性,从遥感图像中对土地利用和土地覆被进行分类是一项具有挑战性的任务。最近,与常用的机器学习(ML)方法相比,深度学习(DL)在图像分析中的应用越来越多。本文利用多源数据,对随机森林(RF)、支持向量机(SVM)、多层感知器(MLP)和卷积网络(CNN)这四种算法的性能进行了比较,并对超参数进行了详尽的优化。在 LULC 分类模型的优化过程中,通常的做法是保留准确率最高的模型,而不对其他结果进行分析。在本研究中,我们对这些结果进行了分析,发现了由 10 倍交叉验证(CV)中估计的验证准确率的平均值和标准偏差所定义的空间中值得注意的模式。这种空间中的点分布似乎并不是完全随机的,而是呈现出点群,有利于发现超参数值,这些超参数值往往会提高平均准确率并降低其标准偏差。射频模型并不是最准确的模型,但它对超参数变化的敏感度较低。神经网络往往会增加代表性较低类别的委托和遗漏误差,因为其优化会使模型更好地学习最常见的类别。另一方面,从一般定性的角度来看,RF 和 MLP 预测层是最准确的。
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引用次数: 0
A multi-aggregator graph neural network for backbone exaction of fracture networks 用于断裂网络骨干切除的多聚合图神经网络
IF 2.5 3区 地球科学 Q1 Mathematics Pub Date : 2024-04-04 DOI: 10.1007/s10596-024-10281-2
Tianji Zheng, Chengcheng Sun, Jian Zhang, Jiawei Ye, Xiaobin Rui, Zhixiao Wang

Accurately analyzing the flow and transport behavior in a large discrete fracture network is computationally expensive. Fortunately, recent research shows that most of the flow and transport occurs within a small backbone in the network, and identifying the backbone to replace the original network can greatly reduce computational consumption. However, the existing machine learning based methods mainly focus on the features of the fracture itself to evaluate the importance of the fracture, the local structural information of the fracture network is not fully utilized. More importantly, these machine learning methods can neither control the identified backbone’s size nor ensure the backbone’s connectivity. To solve these problems, a deep learning model named multi-aggregator graph neural network (MA-GNN) is proposed for identifying the backbone of discrete fracture networks. Briefly, MA-GNN uses multiple aggregators to aggregate neighbors’ structural features and thus generates an inductive embedding to evaluate the criticality score of each node in the entire fracture network. Then, a greedy algorithm, which can control the backbone’s size and connectivity, is proposed to identify the backbone based on the criticality score. Experimental results demonstrate that the backbone identified by MA-GNN can recover the transport characteristics of the original network, outperforming state-of-the-art baselines. In addition, MA-GNN can identify influential fractures with higher Kendall’s (tau ) correlation coefficient and Jaccard similarity coefficient. With the ability of size control, our proposed MA-GNN can provide an effective balance between accuracy and computational efficiency by choosing a suitable backbone size.

精确分析大型离散断裂网络中的流动和传输行为需要耗费大量计算资源。幸运的是,最近的研究表明,大部分流动和传输都发生在网络中的一个小骨干内,识别骨干来替代原始网络可以大大减少计算消耗。然而,现有的基于机器学习的方法主要关注断裂本身的特征来评估断裂的重要性,断裂网络的局部结构信息并没有得到充分利用。更重要的是,这些机器学习方法既无法控制识别出的骨干网规模,也无法确保骨干网的连通性。为了解决这些问题,我们提出了一种名为多聚合图神经网络(MA-GNN)的深度学习模型,用于识别离散断裂网络的主干网。简而言之,MA-GNN 使用多个聚合器聚合邻居的结构特征,从而生成一个归纳嵌入,以评估整个断裂网络中每个节点的临界度得分。然后,提出一种可控制骨干网大小和连通性的贪婪算法,根据临界度得分识别骨干网。实验结果表明,MA-GNN 确定的骨干网可以恢复原始网络的传输特性,性能优于最先进的基线。此外,MA-GNN 还能识别出具有较高 Kendall's (tau )相关系数和 Jaccard 相似系数的有影响力断裂。我们提出的 MA-GNN 具有大小控制能力,可以通过选择合适的骨干网大小在准确性和计算效率之间实现有效平衡。
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Computational Geosciences
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