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High-order exponential integration for seismic wave modeling 地震波建模的高阶指数积分法
IF 2.5 3区 地球科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-04 DOI: 10.1007/s10596-024-10319-5
Fernando V. Ravelo, Martin Schreiber, Pedro S. Peixoto

Seismic imaging is a major challenge in geophysics with broad applications. It involves solving wave propagation equations with absorbing boundary conditions (ABC) multiple times. This drives the need for accurate and efficient numerical methods. This study examines a collection of exponential integration methods, known for their good numerical properties on wave representation, to investigate their efficacy in solving the wave equation with ABC. The purpose of this research is to assess the performance of these methods. We compare a recently proposed Exponential Integration based on Faber polynomials with well-established Krylov exponential methods alongside a high-order Runge-Kutta scheme and low-order classical methods. Through our analysis, we found that the exponential integrator based on the Krylov subspace exhibits the best convergence results among the high-order methods. We also discovered that high-order methods can achieve computational efficiency similar to low-order methods while allowing for considerably larger time steps. Most importantly, the possibility of undertaking large time steps could be used for important memory savings in full waveform inversion imaging problems.

地震成像是地球物理学的一项重大挑战,具有广泛的应用前景。它涉及多次求解具有吸收边界条件 (ABC) 的波传播方程。这就需要精确高效的数值方法。本研究考察了一系列指数积分方法,这些方法以其在波表示方面的良好数值特性而著称,研究它们在求解带 ABC 的波方程时的功效。本研究的目的是评估这些方法的性能。我们将最近提出的基于 Faber 多项式的指数积分法与成熟的 Krylov 指数法、高阶 Runge-Kutta 方案和低阶经典方法进行了比较。通过分析,我们发现基于 Krylov 子空间的指数积分法在高阶方法中表现出最佳的收敛效果。我们还发现,高阶方法可以实现与低阶方法类似的计算效率,同时允许更大的时间步长。最重要的是,在全波形反演成像问题中,可以利用大时间步长来节省内存。
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引用次数: 0
Incorporating spatial variability in surface runoff modeling with new DEM-based distributed approaches 利用基于 DEM 的新分布式方法将空间可变性纳入地表径流建模
IF 2.5 3区 地球科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-03 DOI: 10.1007/s10596-024-10321-x
Dário Macedo Lima, Adriano Rolim da Paz, Yunqing Xuan, Daniel Gustavo Allasia Piccilli

This study introduces two novel DEM-based distributed rainfall-runoff models derived from the existing Hidropixel model: HidropixelTUH+ and HidropixelDLR. These models account for spatial variations in direct runoff generation, translation, and storage within a watershed, considering spatial variability in rainfall and basin characteristics. In HidropixelTUH+, a Triangular Unit Hydrograph (TUH) is determined for each Digital Elevation Model (DEM) pixel and lagged to the watershed outlet based on the travel time from the pixel to the outlet. In HidropixelDLR, a hydrograph is estimated for each pixel based on the travel time, which takes translation effects into account. To represent the storage effects, this hydrograph is attenuated by a linear reservoir at each pixel. Both approaches were applied to the Upper Medway catchment (250 km2) in southeastern England, using rainfall data from a rain gauge network. The outcomes revealed that the proposed approaches provided a reasonably accurate prediction of the hydrographs and exhibited notably superior performance compared to the original version of Hidropixel, which has limited capabilities in capturing translation effects. HidropixelTUH+ and HidropixelDLR predicted peak flows with an average absolute error of 11% and 10%, respectively. The HidropixelDLR achieved a more accurate time-to-peak estimation, with an average absolute error of 1 h, compared to the 1.5-h error from HidropixelTUH+. Additionally, the HidropixelDLR predicted the full direct runoff hydrograph more accurately, achieving an average Nash–Sutcliffe coefficient (NSE) of 0.89, while the HidropixelTUH+ had an NSE of approximately 0.84.

本研究介绍了两个基于 DEM 的新型分布式降雨-径流模型,它们源自现有的 Hidropixel 模型:HidropixelTUH+ 和 HidropixelDLR。这些模型考虑了降雨和流域特征的空间变化,对流域内直接径流产生、转换和存储的空间变化进行了说明。在 HidropixelTUH+ 模型中,为每个数字高程模型(DEM)像素确定一个三角单元水文图(TUH),并根据从像素到出口的时间滞后到流域出口。在 HidropixelDLR 中,每个像素的水文图都是根据旅行时间估算的,其中考虑了平移效应。为了表示蓄水效应,每个像素点的水文图都被线性水库衰减。利用雨量计网络的降雨数据,将这两种方法应用于英格兰东南部的上梅德韦集水区(250 平方公里)。结果表明,与捕捉平移效应能力有限的原版 Hidropixel 相比,所提出的方法可提供相当准确的水文图预测,并表现出明显的优越性能。HidropixelTUH+ 和 HidropixelDLR 预测的峰值流量平均绝对误差分别为 11% 和 10%。与 HidropixelTUH+ 的 1.5 小时误差相比,HidropixelDLR 的峰值时间估算更为精确,平均绝对误差为 1 小时。此外,HidropixelDLR 对整个直接径流水文图的预测更为准确,平均纳什-苏特克利夫系数 (NSE) 为 0.89,而 HidropixelTUH+ 的 NSE 约为 0.84。
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引用次数: 0
Towards practical artificial intelligence in Earth sciences 实现地球科学中的实用人工智能
IF 2.5 3区 地球科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-02 DOI: 10.1007/s10596-024-10317-7
Ziheng Sun, Talya ten Brink, Wendy Carande, Gerbrand Koren, Nicoleta Cristea, Corin Jorgenson, Bhargavi Janga, Gokul Prathin Asamani, Sanjana Achan, Mike Mahoney, Qian Huang, Armin Mehrabian, Thilanka Munasinghe, Zhong Liu, Aaron Margolis, Peter Webley, Bing Gong, Yuhan Rao, Annie Burgess, Andrew Huang, Laura Sandoval, Brianna R. Pagán, Sebnem Duzgun

Although Artificial Intelligence (AI) projects are common and desired by many institutions and research teams, there are still relatively few success stories of AI in practical use for the Earth science community. Many AI practitioners in Earth science are trapped in the prototyping stage and their results have not yet been adopted by users. Many scientists are still hesitating to use AI in their research routine. This paper aims to capture the landscape of AI-powered geospatial data sciences by discussing the current and upcoming needs of the Earth and environmental community, such as what practical AI should look like, how to realize practical AI based on the current technical and data restrictions, and the expected outcome of AI projects and their long-term benefits and problems. This paper also discusses unavoidable changes in the near future concerning AI, such as the fast evolution of AI foundation models and AI laws, and how the Earth and environmental community should adapt to these changes. This paper provides an important reference to the geospatial data science community to adjust their research road maps, find best practices, boost the FAIRness (Findable, Accessible, Interoperable, and Reusable) aspects of AI research, and reasonably allocate human and computational resources to increase the practicality and efficiency of Earth AI research.

虽然人工智能(AI)项目很常见,也是许多机构和研究团队所期望的,但在地球科学界,人工智能在实际应用中的成功案例仍然相对较少。许多地球科学领域的人工智能实践者还停留在原型阶段,他们的成果尚未被用户采用。许多科学家仍在犹豫是否在日常研究中使用人工智能。本文旨在通过讨论地球与环境界当前和未来的需求,如实用人工智能应该是什么样子、如何在当前技术和数据限制的基础上实现实用人工智能、人工智能项目的预期成果及其长期效益和问题,来捕捉人工智能驱动的地理空间数据科学的全貌。本文还讨论了人工智能在不久的将来不可避免的变化,如人工智能基础模型和人工智能规律的快速演变,以及地球和环境界应如何适应这些变化。本文为地理空间数据科学界调整研究路线图、寻找最佳实践、提升人工智能研究的FAIRness(可发现、可访问、可互操作、可重用)、合理分配人力和计算资源以提高地球人工智能研究的实用性和效率提供了重要参考。
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引用次数: 0
Application of deep learning reduced-order modeling for single-phase flow in faulted porous media 断层多孔介质中单相流的深度学习降阶建模应用
IF 2.5 3区 地球科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-28 DOI: 10.1007/s10596-024-10320-y
Enrico Ballini, Luca Formaggia, Alessio Fumagalli, Anna Scotti, Paolo Zunino

Our research is positioned within the framework of subsurface resource utilization for sustainable economies. We concentrate on modeling the underground single-phase fluid flow affected by geological faults using numerical simulations. The study of such flows is characterized by strong uncertainites in the data defing the problem due to the difficulty of taking precise measurements in the subsoil. We aim to demonstrate the feasibility of a reduced order model that is both reliable and computationally efficient, thereby facilitating the incorporation of uncertainties. We account for the uncertainities of the properties of the rock and the geometry of the fault. The latter is achieved by using a radial basis function mesh deformation method. This approach benefits from a mixed-dimensional framework to model the rock matrix and faults as n and ({n-1}) dimensional domains, allowing for non-conforming meshes. Our primary focus is on a reduced-order model capable of reproducing flow variables across the entire domain. We utilize the Deep Learning Reduced Order Model (DL-ROM), a nonintrusive neural network-based technique, and we compare it against the traditional Proper Orthogonal Decomposition (POD) method across various scenarios. The most relevant contributions of this work are: the proof of concept of the use of neural network for reduced order models for subsoil flow, dealing with non-affine problems and mixed dimensional domain. Additionally, we generalize an existing mesh deformation method for discontinuous deformation maps. Our analysis highlights the capability of reduced order model, highlighting DL-ROM’s capacity to expedite complex analyses with promising accuracy and efficiency, making multi-query analyses with various quantities of interest affordable.

我们的研究定位在地下资源利用促进可持续经济的框架内。我们专注于利用数值模拟对受地质断层影响的地下单相流体流动进行建模。由于难以在地下进行精确测量,研究此类流动的特点是界定问题的数据具有很强的不确定性。我们的目标是证明一种既可靠又具有计算效率的低阶模型的可行性,从而便于将不确定性因素考虑在内。我们考虑了岩石属性和断层几何形状的不确定性。后者是通过径向基函数网格变形法实现的。这种方法得益于一个混合维度框架,将岩石基体和断层建模为 n 和 ({n-1})维域,允许使用不一致的网格。我们的主要重点是能够在整个域中再现流动变量的降阶模型。我们采用了基于神经网络的非侵入式技术--深度学习降阶模型(DL-ROM),并将其与传统的适当正交分解(POD)方法在各种场景下进行了比较。这项工作最重要的贡献是:证明了将神经网络用于底土流动降阶模型的概念,处理了非非线性问题和混合维域。此外,我们还将现有的网格变形方法推广到非连续变形图中。我们的分析凸显了减阶模型的能力,突出了 DL-ROM 加快复杂分析的能力,其准确性和效率令人期待,使各种相关数量的多查询分析变得经济实惠。
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引用次数: 0
Application of supervised machine learning to assess and manage fluid-injection-induced seismicity hazards based on the Montney region of northeastern British Columbia 基于不列颠哥伦比亚省东北部蒙特尼地区,应用监督机器学习评估和管理流体注入诱发的地震危害
IF 2.5 3区 地球科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-27 DOI: 10.1007/s10596-024-10318-6
Afshin Amini, Erik Eberhardt, Ali Mehrabifard

One of the key challenges in assessing, managing and mitigating induced-seismicity hazards related to hydraulic fracturing and fluid injection activities is understanding how geological and operational features influence the likelihood and severity of an event. Geological features point to the pre-existing conditions that affect a well’s susceptibility to generating induced seismicity. In contrast, operational features are controllable and can be engineered to mitigate and minimize potential hazards. In recent years, with increased data availability and the rapid development of machine learning techniques, the application of these statistical tools has been proposed to investigate induced seismicity. However, this raises the question of the performance and interpretability of these methods, which requires thorough investigation. This paper presents the results of a detailed study utilizing data for the Montney region of northeastern British Columbia that investigates the robustness of several machine learning algorithms in predicting induced seismicity likelihood and severity and compares the importance of geological and operational features on the triggering and maximum magnitude of these events. The analyses include seismic monitoring, regional geology and well completions data, and the novel use of geophysical well log data to provide a more comprehensive database of geological features.

评估、管理和减轻与水力压裂和流体注入活动相关的诱发地震危害的主要挑战之一,是了解地质和作业特征如何影响事件发生的可能性和严重程度。地质特征是指影响油井产生诱发地震可能性的原有条件。相比之下,运行特征是可控的,可以通过工程设计来减轻和最大限度地减少潜在危害。近年来,随着数据可用性的提高和机器学习技术的快速发展,有人提出应用这些统计工具来研究诱发地震。然而,这就提出了这些方法的性能和可解释性问题,需要进行深入研究。本文介绍了利用不列颠哥伦比亚省东北部蒙特尼地区数据进行详细研究的结果,研究了几种机器学习算法在预测诱发地震可能性和严重性方面的稳健性,并比较了地质和运行特征对这些事件的触发和最大震级的重要性。分析包括地震监测、区域地质和完井数据,以及对地球物理测井数据的新颖使用,以提供更全面的地质特征数据库。
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引用次数: 0
A general approach to computing derivatives for Hessian-based seismic inversion 计算基于 Hessian 的地震反演导数的一般方法
IF 2.5 3区 地球科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-22 DOI: 10.1007/s10596-024-10316-8
Bruno S. Silva, Jessé C. Costa, Jörg Schleicher

Full waveform inversion (FWI), a powerful geophysical technique for subsurface imaging through seismic velocity-model construction, relies on numerical optimization, thus requiring the computation of derivatives for an objective function. This paper proposes a discrete development for accurate computation of the gradient and Hessian-vector product, providing second-order optimization benefits like higher convergence rates and improved resolution. The approach is a promising alternative for computing the gradient and Hessian action in time-domain FWI, applicable to various geophysical problems. Computational costs and memory requirements are comparable to the Adjoint-State Method and more avorable than Automatic Differentiation. While efficient automatic differentiation algorithms have transformed gradient computation in applications like FWI, challenges may arise in 3D due to unforeseen memory allocations. Our approach addresses this by exploring the reverse mode differentiation algorithm, mapping temporary memory allocations and computational complexity. By means of introducing auxiliary fields all involved wavefield evolutions can be carried out with the very same evolution scheme, in this way simplifying the implementation and focusing the performance improvement effort in a single routine thus reducing the maintenance cost of these algorithms, especially when using GPU implementations.

全波形反演(FWI)是一种通过构建地震速度模型进行地下成像的强大地球物理技术,它依赖于数值优化,因此需要计算目标函数的导数。本文提出了精确计算梯度和 Hessian 向量乘积的离散开发方法,提供了二阶优化优势,如更高的收敛速度和更高的分辨率。该方法是计算时域 FWI 中梯度和 Hessian 作用的一种有前途的替代方法,适用于各种地球物理问题。计算成本和内存要求与相邻状态法相当,比自动微分法更可取。虽然高效的自动微分算法改变了 FWI 等应用中的梯度计算,但在三维空间中,由于不可预见的内存分配,可能会出现挑战。我们的方法通过探索反向模式微分算法、映射临时内存分配和计算复杂度来解决这一问题。通过引入辅助场,所有涉及的波场演化都可以采用相同的演化方案,从而简化了实现过程,并将性能改进工作集中在单个例程中,从而降低了这些算法的维护成本,尤其是在使用 GPU 实现时。
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引用次数: 0
A recipe to generate sustainably maintainable and extensible hydrogeological datasets to prepare large-scale groundwater models for multiple aquifer systems 生成可持续维护和可扩展的水文地质数据集,为多个含水层系统编制大规模地下水模型的秘诀
IF 2.5 3区 地球科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-20 DOI: 10.1007/s10596-024-10315-9
Christian Siebert, Tino Rödiger, Timo Houben, Mariaines diDato, Thomas Fischer, Sabine Attinger, Thomas Kalbacher

Regional groundwater modelling can provide decision-makers and scientists with valuable information required for the sustainable use and protection of groundwater resources in the future. In order to assess and manage the impact of climate change on regional aquifer systems, numerical groundwater models are required which represent the subsurface structures of aquifers and aquitards in 3D at the regional scale and beyond in the most efficient way. A workflow to clearly generate these structural subsurface representations from a variety of data sources is introduced, applying open-source Geographical Information Systems. The resulting structural models can be used with finite element method-based simulation tools, such as the open-source environment OpenGeoSys. The preparation workflow of the structure model is presented for a large river basin in Germany, indicating the applicability of the method even in a challenging hydrogeological region with several stockworks of dipped and fractured sedimentary aquifers, partially showing significantly changing hydraulic conditions due to natural lateral facies changes.

区域地下水模型可以为决策者和科学家提供未来可持续利用和保护地下水资源所需的宝贵信息。为了评估和管理气候变化对区域含水层系统的影响,需要建立地下水数值模型,以最有效的方式在区域范围内外以三维方式表示含水层和含水层的地下结构。本文介绍了一个工作流程,通过应用开源地理信息系统,从各种数据源清晰地生成这些地下结构表征。生成的结构模型可用于基于有限元法的模拟工具,如开源环境 OpenGeoSys。介绍了德国一个大型流域的结构模型准备工作流程,表明该方法即使在具有挑战性的水文地质区域也适用,该区域有多个倾斜和断裂沉积含水层的堆积层,由于自然侧向面的变化,部分堆积层显示出显著变化的水力条件。
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引用次数: 0
Auto-weighted Bayesian Physics-Informed Neural Networks and robust estimations for multitask inverse problems in pore-scale imaging of dissolution 自动加权贝叶斯物理信息神经网络和多任务反问题的鲁棒估计,用于孔隙尺度溶解成像
IF 2.5 3区 地球科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-14 DOI: 10.1007/s10596-024-10313-x
Sarah Perez, Philippe Poncet

In this article, we present a novel data assimilation strategy in pore-scale imaging and demonstrate that this makes it possible to robustly address reactive inverse problems incorporating Uncertainty Quantification (UQ). Pore-scale modeling of reactive flow offers a valuable opportunity to investigate the evolution of macro-scale properties subject to dynamic processes in the context of Carbon Capture and Storage (CCS). Yet, they suffer from imaging limitations arising from the associated X-ray microtomography (X-ray (mu )CT) process, which induces discrepancies in the properties estimates. Assessment of the kinetic parameters also raises challenges, as reactive coefficients are critical parameters that can cover a wide range of values. We account for these two issues and ensure reliable calibration of pore-scale modeling, based on dynamical (mu )CT images, by integrating uncertainty quantification in the workflow. The present method is based on a multitasking formulation of reactive inverse problems combining data-driven and physics-informed techniques in calcite dissolution. This allows quantifying morphological uncertainties on the porosity field and estimating reactive parameter ranges through prescribed PDE models, with a latent concentration field, and dynamical (mu )CT observations. The data assimilation strategy relies on sequential reinforcement incorporating successively additional PDE constraints and suitable formulation of the heterogeneous diffusion differential operator leading to enhanced computational efficiency. We provide a robust and unbiased uncertainty quantification by straightforward adaptive weighting of Bayesian Physics-Informed Neural Networks (BPINNs), ensuring reliable micro-porosity changes during geochemical transformations. We demonstrate successful Bayesian Inference in 1D+Time calcite dissolution based on synthetic (mu )CT images with meaningful posterior distribution on the reactive parameters and dimensionless numbers. We eventually apply this framework to a more realistic 2D+Time data assimilation problem involving heterogeneous porosity levels and synthetic (mu )CT dynamical observations.

在这篇文章中,我们介绍了孔隙尺度成像中的一种新型数据同化策略,并证明这种策略可以稳健地解决包含不确定性量化(UQ)的反应逆问题。孔隙尺度的反应流建模为研究碳捕获与封存(CCS)背景下受动态过程影响的宏观尺度属性的演变提供了宝贵的机会。然而,由于相关的 X 射线显微层析成像(X-ray (mu )CT)过程造成的成像限制,它们在属性估计方面存在差异。对动力学参数的评估也提出了挑战,因为反应系数是关键参数,其取值范围很广。我们考虑到了这两个问题,并通过在工作流程中集成不确定性量化,确保了基于动态 CT 图像的孔隙尺度建模的可靠校准。本方法基于反应逆问题的多任务表述,结合了方解石溶解过程中的数据驱动和物理信息技术。这样就可以量化孔隙度场的形态不确定性,并通过规定的 PDE 模型、潜浓度场和动态 CT 观测来估算反应参数范围。数据同化策略依赖于连续的强化,包括连续的附加 PDE 约束条件和异质扩散微分算子的适当表述,从而提高计算效率。我们通过贝叶斯物理信息神经网络(BPINNs)的直接自适应加权,提供了稳健、无偏的不确定性量化,确保了地球化学转换过程中微观孔隙度变化的可靠性。我们成功地展示了基于合成 CT 图像的 1D+Time 方解石溶解贝叶斯推理,其反应参数和无量纲数的后验分布非常有意义。最终,我们将这一框架应用于更现实的二维+时间数据同化问题,该问题涉及异质孔隙度水平和合成(μ )CT动态观测。
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引用次数: 0
A modified Flux Corrected Transport method coupled with the MPFA-H formulation for the numerical simulation of two-phase flows in petroleum reservoirs using 2D unstructured meshes 使用二维非结构网格对石油储层中的两相流动进行数值模拟的改良通量校正传输方法与 MPFA-H 公式相结合
IF 2.5 3区 地球科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-09 DOI: 10.1007/s10596-024-10306-w
Phillipe C. G. da Silva, Gustavo L. S. S. Pacheco, Pedro V. P. Albuquerque, Márcio R. A. Souza, Fernando R. L. Contreras, Paulo R. M. Lyra, Darlan K. E. Carvalho

The numerical simulation of multiphase and multicomponent flows in oil reservoirs is a significant challenge, demanding robust and computationally efficient numerical formulations. Particularly, scenarios with high mobility ratios between injected and resident fluids can lead to Grid Orientation Effects (GOE), where numerical solutions strongly depend on the alignment between flow and computational grid and mobility ratio. This phenomenon relates to an anisotropic distribution in truncation error tied to the numerical approximation of the transport term. Although the oil industry commonly uses linear Two Point Flux Approximation (TPFA) for diffusive fluxes and the First Order Upwind (FOU) method for advective fluxes, both lack rotational invariance and TPFA struggles with non-k-orthogonal grids. This paper proposes a comprehensive cell-centered finite-volume formulation to simulate reservoir oil-water displacements, integrating the classical IMPES (Implicit Pressure Explicit Saturation) segregate approach with unstructured, non-k-orthogonal meshes. Diffusive flux discretization employs a Multipoint Flux Approximation with Harmonic Points (MPFA-H), capable of handling heterogeneous and strongly anisotropic media. A modified second-order Flux Corrected Transport (FCT) approach curbs artificial numerical diffusion for transport term discretization. Additionally, we incorporate a Flow-Oriented Scheme (FOS) for computing low-order and high-order approximations of the numerical fluxes to enhance multidimensional approximation and reduce GOE. The proposed strategy is validated through benchmark problems, yielding precise outcomes with reduced numerical diffusion and GOE effects, underscoring its efficiency for complex reservoir flow simulations.

油藏中多相和多组分流动的数值模拟是一项重大挑战,需要稳健且计算效率高的数值计算公式。特别是在注入流体和驻留流体之间流动比率较高的情况下,会产生网格方向效应(GOE),即数值解很大程度上取决于流动和计算网格之间的排列以及流动比率。这种现象与截断误差的各向异性分布有关,而截断误差与传输项的数值近似有关。虽然石油工业通常使用线性两点通量近似法(TPFA)来计算扩散通量,使用一阶上风法(FOU)来计算平流通量,但这两种方法都缺乏旋转不变性,而且 TPFA 在非正交网格中也很难发挥作用。本文提出了一种全面的以单元为中心的有限体积公式来模拟储层油水位移,将经典的 IMPES(隐含压力显式饱和)分离方法与非结构化、非 K 正交网格相结合。扩散通量离散化采用了带谐波点的多点通量逼近法(MPFA-H),能够处理异质和强各向异性介质。改进的二阶通量校正传输(FCT)方法抑制了传输项离散的人为数值扩散。此外,我们还采用了以流动为导向的方案(FOS)来计算数值通量的低阶和高阶近似值,以加强多维近似并减少 GOE。我们通过基准问题对所提出的策略进行了验证,结果非常精确,数值扩散和 GOE 的影响也有所降低,这表明该策略在复杂的储层流动模拟中非常有效。
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引用次数: 0
A novel hierarchical model calibration method for deep water reservoirs under depletion and aquifer influence 枯竭和含水层影响下的深层水库分层模型校准新方法
IF 2.5 3区 地球科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-07 DOI: 10.1007/s10596-024-10314-w
Ao Li, Faruk Omer Alpak, Eduardo Jimenez, Tzu-hao Yeh, Andrew Ritts, Vivek Jain, Hongquan Chen, Akhil Datta-Gupta

An ensemble of rigorously history matched reservoir models can help better understand the interactions between heterogeneity and fluid flows, improve forecasting reliability, and locate infill-drilling opportunities to support field development plans. However, developing efficient calibration methods for complex, multi-million cell deep-water models remains a challenge. This paper presents a hierarchical global-local assisted-history matching (AHM) approach with new elements, applied to a complex deep-water reservoir. The method consists of two stages: global and local. In the global stage, the reservoir energy is matched using an evolutionary approach to calibrate the model parameters with build-up and average reservoir pressures. In the local stage, the permeability field is calibrated to production data using a novel streamline-based sensitivity-driven AHM method to ascertain the spatial variability and geologic continuity of local updates. The sensitivity for each streamline is weighted by the water fraction and constrained by a time-of-flight cutoff to focus on water intrusion regions within the near wellbore region. The proposed method is field-tested in a complex deep-water reservoir. The evolutionary approach generates an ensemble of models with well-matched oil production rates and build-up/reservoir pressure using global model parameters. Local updates using streamline-based gradients are then conducted to match the water cut for each ensemble member while maintaining overall pressure match quality. Results show that the hierarchical AHM method significantly reduces the data misfit and is well-suited to primary recovery in a deep-water setting with few producers and under the influence of mild/weak aquifers.

一组严格历史匹配的储层模型可以帮助更好地理解异质性和流体流动之间的相互作用,提高预测的可靠性,并找到充填钻井的机会,以支持油田开发计划。然而,为复杂的数百万单元深水模型开发高效的校准方法仍然是一项挑战。本文介绍了一种具有新要素的分层全局-局部辅助历史匹配(AHM)方法,并将其应用于一个复杂的深水储层。该方法包括两个阶段:全局和局部。在全局阶段,使用演化方法匹配储层能量,以校准模型参数与储层堆积压力和平均压力。在局部阶段,使用一种新颖的基于流线的灵敏度驱动 AHM 方法,根据生产数据校准渗透率场,以确定局部更新的空间变异性和地质连续性。每条流线的灵敏度都由水分量加权,并受飞行时间截止的限制,以关注近井筒区域内的水入侵区域。所提出的方法在一个复杂的深水储层中进行了现场测试。该演化方法利用全局模型参数生成一个具有良好匹配的石油生产率和集聚/储层压力的模型集合。然后使用基于流线的梯度进行局部更新,以匹配每个集合成员的截水量,同时保持整体压力匹配质量。结果表明,分层 AHM 方法大大降低了数据不匹配度,非常适合在生产者较少且受温和/弱含水层影响的深水环境中进行一次采油。
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引用次数: 0
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Computational Geosciences
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