基于适当广义分解的热-水-力耦合问题实时参数解

IF 3.5 3区工程技术 Q1 MATHEMATICS, APPLIED

Finite Elements in Analysis and Design Pub Date : 2025-04-08 DOI:10.1016/j.finel.2025.104352

Arash Moaven , Thierry J. Massart , Sergio Zlotnik

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引用次数: 0

摘要

适当广义分解（PGD）是一种模型阶降阶（MOR）技术，用于解决多孔介质中参数瞬态热-水-机械（THM）问题，重点是深部地质储库。PGD支持计算THM参数问题的实时解决方案，这在提高石油采收率、地热能和核废料处理等应用中至关重要。这项研究提供了两个关键贡献。首先，它描述了瞬态THM问题中PGD所需的分离离散算子，以考虑材料和几何参数。其次，通过三个储存库模型问题探讨了PGD的有效性：(1)岩石材料特性参数化（弹性模量、导热系数和导热系数），(2)罐间距几何参数化，(3)一个组合的四参数模型，展示了PGD处理多参数问题的能力。结果表明，应用于多孔介质中THM过程的PGD为复杂问题提供了高效、实时的解决方案，显著提高了计算性能，使其能够融入多查询和实时场景。

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Parametric solutions of coupled Thermo-Hydro-Mechanical problems in real time with Proper Generalized Decomposition

Proper Generalized Decomposition (PGD) is a Model Order Reduction (MOR) technique used in this study to solve parametric transient Thermo-Hydro-Mechanical (THM) problems in porous media, with focus on deep geological repositories. PGD enables computing real-time solutions for THM parametric problems, which are critical in applications like enhanced oil recovery, geothermal energy, and nuclear waste disposal. This study offers two key contributions. First, it describes the separated discrete operators required by PGD to account for material and geometrical parameters in transient THM problems. Second, it explores the effectiveness of PGD through three repository model problems: (1) parametrized by rock material properties (elastic modulus, thermal and hydraulic conductivity), (2) geometrically parametrized by canister spacing, and (3) a combined four-parameter model demonstrating PGD’s ability to handle multiparameter problems. The results show that PGD applied for THM processes in porous media provides efficient, real-time solutions for complex problems, significantly enhancing computational performance to allow its incorporation in multiquery and real-time scenarios.

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来源期刊

Finite Elements in Analysis and Design 工程技术-力学

CiteScore

4.80

自引率

3.20%

发文量

审稿时长

27 days

期刊介绍： The aim of this journal is to provide ideas and information involving the use of the finite element method and its variants, both in scientific inquiry and in professional practice. The scope is intentionally broad, encompassing use of the finite element method in engineering as well as the pure and applied sciences. The emphasis of the journal will be the development and use of numerical procedures to solve practical problems, although contributions relating to the mathematical and theoretical foundations and computer implementation of numerical methods are likewise welcomed. Review articles presenting unbiased and comprehensive reviews of state-of-the-art topics will also be accommodated.