Empirical and Numerical Modelling of Gas–Gas Diffusion for Binary Hydrogen–Methane Systems at Underground Gas Storage Conditions

IF 2.7 3区 工程技术 Q3 ENGINEERING, CHEMICAL Transport in Porous Media Pub Date : 2023-12-01 DOI:10.1007/s11242-023-02039-8
Sebastian Hogeweg, Julia Michelsen, Birger Hagemann, Leonhard Ganzer
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Abstract

The physical process in which a substance moves from a location with a higher concentration to a location with a lower concentration is known as molecular diffusion. It plays a crucial role during the mixing process between different gases in porous media. Due to the petrophysical properties of the porous medium, the diffusion process occurs slower than in bulk, and the overall process is also affected by thermodynamic conditions. The complexity of measuring gas–gas diffusion in porous media at increased pressure and temperature resulted in significant gaps in data availability for modelling this process. Therefore, correlations for ambient conditions and simplified diffusivity models have been used for modelling purposes. In this study, correlations in dependency of petrophysical and thermodynamic properties were developed based on more than 30 measurements of the molecular diffusion of the binary system hydrogen–methane in gas storage rock samples at typical subsurface conditions. It allows reproducing the laboratory observations by evaluating the bulk diffusion coefficient and the tortuosity factor with relative errors of less than 50 % with minor exceptions, leading to a strong improvement compared to existing correlations. The developed correlation was implemented in the open-source simulator DuMux and the implementation was validated by reproducing the measurement results. The validated implementation in DuMux allows to model scenarios such as Underground Hydrogen Storage (UHS) on a field-scale and, as a result, can be used to estimate the temporary loss of hydrogen into the cushion gas and the purity of withdrawn gas due to the gas–gas mixing process.

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地下储气条件下二元氢-甲烷系统气-气扩散的经验与数值模拟
物质从浓度较高的地方移动到浓度较低的地方的物理过程称为分子扩散。它在多孔介质中不同气体的混合过程中起着至关重要的作用。由于多孔介质的岩石物理性质,扩散过程比块状介质缓慢,而且整个过程还受到热力学条件的影响。在压力和温度升高的情况下,测量多孔介质中气体-气体扩散的复杂性导致了模拟这一过程的数据可用性的显著差距。因此,环境条件的相关性和简化的扩散率模型已被用于建模目的。在本研究中,基于典型地下条件下储气岩石样品中氢-甲烷二元体系分子扩散的30多次测量,建立了岩石物理和热力学性质的相关性。它允许通过评估体积扩散系数和弯曲系数来再现实验室观测,相对误差小于50%,只有少数例外,与现有的相关性相比有了很大的改进。在开源模拟器DuMux中实现了所开发的相关性,并通过再现测量结果对实现进行了验证。DuMux中经过验证的实现允许在现场规模上对地下储氢(UHS)等场景进行建模,因此可以用于估计由于气-气混合过程而导致的缓冲气体中氢气的暂时损失以及提取气体的纯度。
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来源期刊
Transport in Porous Media
Transport in Porous Media 工程技术-工程:化工
CiteScore
5.30
自引率
7.40%
发文量
155
审稿时长
4.2 months
期刊介绍: -Publishes original research on physical, chemical, and biological aspects of transport in porous media- Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)- Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications- Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes- Expanded in 2007 from 12 to 15 issues per year. Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).
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