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Theoretical analysis on stress distribution characteristics around a shallow buried spherical Karst cave containing fill materials in limestone strata

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Abstract

The chief objective of the article is to learn the spatial characteristics of stress distribution around a shallow buried spherical Karst cave containing fill materials in limestone strata. First, considering the effect of external load, stress field in the Earth’s crust, internal filling and Karst geomorphology characteristics in China, a spatial axisymmetrical model was established. Concurrently, combing available work and the concept of elasticity, the boundary conditions are determined. Subsequently, the Love displacement method was introduced, and stress component expressions were obtained. The diagram characteristics of each stress component are summarized, which are affected by various influencing factors. Finally, to prove the rationality of the general solution, a numerical simulation was carried out based on practical engineering, and the maximum error is less than 5%. Thus, the analytical solution could represent the spatial characteristics of stress distribution around a shallow buried spherical karst cave containing fill materials in limestone strata.

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Acknowledgements

The authors are grateful to Yanyan Zhang, Jing Hu and Xiaoxuan Zhang for their assistance.

Funding

The research on which this article is based has been supported by Grants: the Systematic Project of Guangxi Key Laboratory of Disaster Prevention Structural Safety (Grant No: 2019ZKX015), the Science Foundation of Hebei Province (No. E2020210006), Hainan Provincial Natural Science Foundation of China (Grant No: 520QN229), the Scientific Research Startup Foundation of Hainan university (Grant No: KYQD(2R)1723), Key Research and Development Project of Cangzhou Municipal Science and Technology bureau, China(Grant No. 183305006) and National Key R&D Program of China (Grant No. 2018YFC1505501).

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Authors and Affiliations

  1. College of Civil Engineering and Architecture, Hainan University, Haikou, 570228, Hainan, China

    Peng Xie & Liangyong Li

  2. Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, Guangxi University, Nanning, 530004, Guangxi, China

    Shaokun Ma

  3. Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing, 400045, China

    Haijia Wen

  4. School of Civil Engineering, Chongqing University, Chongqing, 400045, China

    Haijia Wen

Authors
  1. Peng Xie
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  2. Shaokun Ma
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  3. Haijia Wen
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  4. Liangyong Li
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Contributions

PX carried out the theoretical analysis; SM and HW carried out the numerical simulation; LL carried out the data statistics. All the authors have given final approval for publication.

Corresponding authors

Correspondence to Shaokun Ma or Haijia Wen.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Xie, P., Ma, S., Wen, H. et al. Theoretical analysis on stress distribution characteristics around a shallow buried spherical Karst cave containing fill materials in limestone strata. Environ Earth Sci 81, 97 (2022). https://doi.org/10.1007/s12665-021-10112-y

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  • DOI: https://doi.org/10.1007/s12665-021-10112-y

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