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Scattering of P-wave and transient response around a fluid-filled cavity in an elastic medium

充液圆腔对平面P波的散射与围岩的瞬态响应

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Abstract

The dynamic stress concentration ascribed to the scattering of dynamic disturbances encountered by different structures is an important factor affecting the damage of deep subsurface structures. To study the dynamic response around the underground fluid-filled cavity, a simplified model of the plane P-waves incident in the fluid-filled circular cavity with rock mass structure was established. Series solutions of dynamic stress concentration around the fluid-filled cavity were achieved based on the wave function expansion methods and stress boundary conditions. Using Fourier integral transformation, the expression of dynamic stress concentration factors (DSCFs) around the fluid-filled cavity subjected to transient impact was derived. Then, the relationship between DSCFs and their waveform parameters under steady-state and transient incident waves was quantitatively analyzed. In addition, a numerical model was established using the finite element numerical simulation software LS-DYNA and dynamic stress concentration and failure characteristics around the fluid-filled cavity under transient impact load were simulated. The direction of incident, Poisson ratio, time, and wavenumbers have different effects on the distribution of dynamic stress concentration around the fluid-filled circular cavity.

摘要

动力扰动在结构周围的散射所引起的动应力集中是影响深部地下结构损伤的重要因素。为了研 究地下充满流体的圆形空孔周围的动力响应,建立了无限介质中平面P 波入射充液圆腔的简化模型。 基于波函数展开法,得到充液腔周围动应力集中的解析解。利用傅里叶积分变换,推导充满流体的空 腔周围受瞬态冲击的动态应力集中因子(DSCFs)表达式。同时,定量分析稳态和瞬态入射波作用下 DSCFs 与波形参数的关系。利用有限元程序LS-DYNA建立数值模型,分析瞬态冲击载荷作用下充液 腔周围的动应力集中与围岩的破坏规律。研究表明,充液圆腔周围的动应力集中分布受到入射方向、 泊松比、时间和波数的综合影响。本研究为地下引水隧洞和油气储藏的抗震加固提供参考。

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Authors and Affiliations

  1. School of Resources and Safety Engineering, Central South University, Changsha, 410083, China

    Ming Tao  (陶明), Gong-liang Xiang  (向恭梁) & Rui Zhao  (赵瑞)

  2. School of Civil and Environmental Engineering, University of Technology Sydney, Sydney, 2007, Australia

    Cheng-qing Wu  (吴成清)

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  1. Ming Tao  (陶明)
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  2. Gong-liang Xiang  (向恭梁)
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  3. Rui Zhao  (赵瑞)
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  4. Cheng-qing Wu  (吴成清)
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Contributions

TAO Ming provided the concept and edited the draft of the manuscript. XIANG Gong-liang conducted the theoretical analysis and wrote the initial draft of the manuscript. ZHAO Rui and WU Cheng-qing solved the equation. All authors responded to reviewers’ comments and revised the final version.

Corresponding author

Correspondence to Ming Tao  (陶明).

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Conflict of interest

TAO Ming, XIANG Gong-liang, ZHAO Rui and WU Cheng-qing declare that they have no conflict of interest.

Foundation item: Project(12072376) supported by the National Natural Science Foundation of China

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Tao, M., Xiang, Gl., Zhao, R. et al. Scattering of P-wave and transient response around a fluid-filled cavity in an elastic medium. J. Cent. South Univ. 30, 568–583 (2023). https://doi.org/10.1007/s11771-023-5255-2

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  • DOI: https://doi.org/10.1007/s11771-023-5255-2

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