关于混合气体在含压缩机站的网络中稳态存在的研究
On the Existence of Steady States for Blended Gas Flow with Non-Constant Compressibility Factor on Networks
AI总结：
本文研究了混合气体在含压缩机站的网络中稳态存在的条件，通过隐式压力表示和连续性论证证明了稳态解的存在性，并通过数值示例展示了压缩性模型对结果状态的影响。
摘要：
本文研究了通过管道网络输送的氢气-天然气混合物。流动由等温欧拉方程建模，其中压力定律涉及一个非恒定、与组分相关的压缩性因子。对于广泛一类此类压缩性模型，我们证明了在包含压缩机站的网络中稳态解的存在性。分析基于压力剖面的隐式表示以及一种克服气体组分对流动方向不连续依赖性的连续性论证。数值示例展示了不同压缩性模型对结果状态的影响。
英文摘要：
In this paper, we study hydrogen-natural gas mixtures transported through pipeline networks. The flow is modeled by the isothermal Euler equations with a pressure law involving a non-constant, composition-dependent compressibility factor. For a broad class of such compressibility models, we prove the existence of steady-state solutions on networks containing compressor stations. The analysis is based on an implicit representation of the pressure profiles and a continuity argument that overcomes the discontinuous dependence of the gas composition on the flow direction. Numerical examples illustrate the influence of different compressibility models on the resulting states.
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