Analytical Method of Spatiotemporal Evolution Characteristics of Unsteady Seepage Flow Pore Water Pressure in Front of Tunnel Face

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-08-06 DOI:10.1007/s12205-024-1083-7

Caixia Guo, Zuozhen Wang, Qingtao Lin, Dechun Lu, Xiuli Du

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Abstract

To evaluate the spatiotemporal evolution of pore water pressure in unsteady seepage flow ahead of a tunnel face, a partial differential equation for unsteady seepage is established. The ranges and boundary conditions of the unsteady seepage flow are specified, and the analytical solution of the unsteady seepage flow is obtained by the eigenfunction method. The obtained analytical solution additionally considers the time factor, which can be used to study the influence of seepage time on the seepage flow. And the pressure transmitting coefficient is introduced to analyze the influence of water and soil characteristics on the unsteady seepage. The analysis shows that the spatiotemporal evolution of the unsteady seepage flow pore water pressure ahead of a tunnel face is reflected in two aspects, the dissipation of the water pressure and the diffusion of the influence range of the unsteady seepage. The dissipation captures the gradual reduction of pore water pressure at a specific location as time progresses. Meanwhile, diffusion characterizes the alteration in the spatial distribution of water pressure. The pressure transmitting coefficient promotes the rate of unsteady seepage, while the height of water table has a greater influence on the magnitude of water pressure change in unsteady seepage flow.

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隧道工作面前非稳态渗流孔隙水压力时空演变特征的分析方法

为了评估隧道工作面前方非稳定渗流中孔隙水压力的时空演变，建立了非稳定渗流偏微分方程。规定了非稳态渗流的范围和边界条件，并通过特征函数法获得了非稳态渗流的解析解。得到的解析解还考虑了时间因素，可用于研究渗流时间对渗流的影响。并引入压力传递系数，分析水土特性对非稳定渗流的影响。分析表明，隧道工作面前方非稳定渗流孔隙水压力的时空演化体现在两个方面，即水压力的消散和非稳定渗流影响范围的扩散。水压消散是指随着时间的推移，特定位置的孔隙水压力逐渐减小。同时，扩散表征了水压空间分布的变化。压力传递系数会促进非稳定渗流的速度，而地下水位高度对非稳定渗流中水压变化的幅度影响更大。

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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.

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