The face stability analysis of a longitudinally inclined shield tunnel using an analytical approach in water‐rich areas is still a research gap. To solve this face stability problem, a numerical simulation based on the FLAC3D is first conducted to calculate the seepage field behind the inclined tunnel face. An improved rotational failure mechanism is developed to make it possible to investigate the face stability of inclined tunnels using analytical approaches. In the framework of the kinematic approach of limit analysis, the limit support pressures and corresponding failure surfaces of the inclined tunnel face are determined to analyze the face stability issue. The interpolation tool (griddata) in MATLAB is adopted to involve the obtained numerical values of pore water pressures into the analysis of the stability issue. The analytical solutions obtained from the proposed method are validated by comparisons with existing results from published literatures and numerical results. For a quick estimation of the inclined tunnel face stability in water‐rich areas, a series of design charts are then presented for various soil strength parameters, water tables, and inclined angles. Finally, an application of the proposed method to a practical tunneling case is provided, which further illustrates the effectiveness of the proposed method.

中文翻译：

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考虑孔隙水压力的纵向倾斜隧道掌子面稳定性评估


在富水地区采用分析方法对纵向倾斜盾构隧道掌子面稳定性进行分析仍是一个研究空白。为了解决掌子面稳定性问题，首先进行基于FLAC3D的数值模拟，计算倾斜掌子面后面的渗流场。开发了一种改进的旋转失效机制，使得可以使用分析方法研究倾斜隧道的工作面稳定性。在极限分析运动学方法的框架下，确定倾斜隧道掌子面的极限支撑压力和相应的破坏面，以分析掌子面稳定性问题。采用MATLAB中的插值工具（griddata）将获得的孔隙水压力数值纳入稳定性问题的分析中。通过与已发表文献和数值结果的现有结果进行比较，验证了从所提出的方法获得的解析解。为了快速估计富水地区倾斜隧道掌子面的稳定性，针对各种土体强度参数、地下水位和倾斜角度提供了一系列设计图表。最后，给出了该方法在实际隧道工程中的应用，进一步说明了该方法的有效性。