仿真增强型 GAN 用于精细尺度的高效储层仿真

IF 2.8 3区 地球科学 Q2 GEOSCIENCES, MULTIDISCIPLINARY Mathematical Geosciences Pub Date : 2024-03-25 DOI:10.1007/s11004-024-10136-7
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引用次数: 0

摘要

摘要 本文介绍了一种增强多孔介质中流体传输建模的创新方法,该方法可应用于多个领域,包括地下储层建模。流体流动模型通常采用有限差分和有限体积等方法对偏微分方程(PDE)系统进行数值求解。然而,这些过程对计算要求很高,尤其是在追求精细尺度的高精度时。为了提高仿真效率,研究人员越来越多地转向机器学习来探索 PDEs 的解决方案。本文提出的方法将自适应多尺度策略与生成式对抗网络(GAN)相结合,以提高精细尺度上的仿真效率。所设计的模型被称为仿真增强 GAN(SE-GAN),它将粗尺度仿真结果作为输入,并结合所提供的岩石物理特性生成细尺度结果。利用这种新方法,对深度学习模型进行训练,将粗尺度结果映射到细尺度结果,而不是直接求解流体流动模型。案例研究表明,与原始的精细尺度模拟求解器相比,SE-GAN 可以显著提高精度,同时减少计算时间。对数值实验进行了全面评估,以阐明这种方法的优势和局限性。此外,还展示了 SE-GAN 在加速储层模拟数值求解器方面的潜力。
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Simulation Enhancement GAN for Efficient Reservoir Simulation at Fine Scales

Abstract

In this paper, an innovative approach for enhancing fluid transport modeling in porous media is presented, which finds application in various fields, including subsurface reservoir modeling. Fluid flow models are typically solved numerically by addressing a system of partial differential equations (PDEs) using methods such as finite difference and finite volume. However, these processes can be computationally demanding, particularly when aiming for high precision on a fine scale. Researchers have increasingly turned to machine learning to explore solutions for PDEs in order to improve simulation efficiency. The proposed method combines an adaptive multi-scale strategy with generative adversarial networks (GAN) to increase simulation efficiency on a fine scale. The devised model, called simulation enhancement GAN (SE-GAN), takes coarse-scale simulation results as input and generates fine-scale results in conjunction with the provided petrophysical properties. With this new approach, a deep learning model is trained to map coarse-scale results to fine-scale outcomes, rather than directly solving the fluid flow model. Case studies reveal that SE-GAN can achieve a significant improvement in accuracy while reducing computational time compared to the original fine-scale simulation solver. A comprehensive evaluation of numerical experiments is conducted to elucidate the benefits and limitations of this method. The potential of SE-GAN in accelerating the numerical solver for reservoir simulations is also demonstrated.

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来源期刊
Mathematical Geosciences
Mathematical Geosciences 地学-地球科学综合
CiteScore
5.30
自引率
15.40%
发文量
50
审稿时长
>12 weeks
期刊介绍: Mathematical Geosciences (formerly Mathematical Geology) publishes original, high-quality, interdisciplinary papers in geomathematics focusing on quantitative methods and studies of the Earth, its natural resources and the environment. This international publication is the official journal of the IAMG. Mathematical Geosciences is an essential reference for researchers and practitioners of geomathematics who develop and apply quantitative models to earth science and geo-engineering problems.
期刊最新文献
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