The relaxation limit of a compressible gas-liquid model with well-reservoir interaction

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.1512/iumj.2022.71.8965

Guangyi Hong, Hongyun Peng, Changjiang Zhu

引用次数: 1

Abstract

In this paper, we are concerned with the motion of gas-kick flow in oil wells for the extreme case that the pressure is largely dictated by the surrounding reservoir pressure. Formally, the model can be obtained by taking the relaxation limit of a two-phase compressible gas-liquid model with a pressure-dependent well-reservoir interaction term. Under suitable smallness assumptions upon the initial data, the global existence as well as the uniqueness of strong solutions to the model is investigated by using the energy method. Besides, the large-time behavior of the solution is also studied. Our results generalize the ones in [18, S. Solem and S. Evje, Z. Angew. Math. Phys., 68 (2017), pp. Art. 23].

查看原文本刊更多论文

考虑井-储相互作用的可压缩气-液模型的松弛极限

本文研究了在压力很大程度上取决于周围储层压力的极端情况下，油井中气涌流动的运动。在形式上，该模型可以通过取具有压力相关的井-储相互作用项的两相可压缩气-液模型的松弛极限得到。在初始数据较小的假设条件下，利用能量法研究了模型强解的全局存在性和唯一性。此外，还研究了该解的大时态。我们的结果推广了[18]S. Solem和S. Evje, Z. Angew的结果。数学。理论物理。， 68(2017)，第23条]。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.