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Investigation and enhancement of stress-dependent compliance characteristics in deep in-situ stress measurements based on anelastic strain recovery (ASR) method
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  • Published: 03 March 2026

Investigation and enhancement of stress-dependent compliance characteristics in deep in-situ stress measurements based on anelastic strain recovery (ASR) method

  • Tianyu Li1,2,
  • Peng Xiang1,2,
  • Hongguang Ji1,2,
  • Chang Li3 &
  • …
  • Wei Wang4 

Scientific Reports , Article number:  (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Engineering
  • Solid Earth sciences

Abstract

To accurately obtain the deep in-situ stress state during the construction of deep vertical shafts, laboratory-based Anelastic Strain Recovery (ASR) compliance experiments were conducted. The results revealed that under uniaxial loading conditions, the shear and volumetric modes of ASR compliance tend to stabilize after 48 h of unloading, and the extension of the loading time slows the rate of anelastic recovery. The ASR compliance and its ratio under different stress conditions (0.25 UCS and 0.5 UCS) varied with changes in stress. In-situ stress measurements based on the ASR method, conducted at the Sanshandao deep vertical shaft project site, showed that the ASR compliance under the 0.25 UCS stress condition provided stress values that more closely matched the results obtained from hydraulic fracturing, with the maximum principal stress deviation ranging from 0.14% to 4.1%, and the minimum principal stress deviation ranging from 0.27% to 4.57%. This study confirms that combining the depth of the sampled rock cores with in-situ stress conditions for compliance calibration can improve the accuracy of the ASR method. The findings provide foundational support for in-situ stress evaluation and rock mass stability control in similar deep strata.

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Data availability

The datasets used and/or analysed during the current study available from the corresponding author on reasonable request.

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Acknowledgements

This research is supported by The National Key Research and Development Program of China [Grant No.2023YFC2907400. No. 2023YFC2907403].

Funding

This work was funded by National Key Research and Development Program of China, 2023YFC2907400, 2023YFC2907403.

Author information

Authors and Affiliations

  1. Beijing Key Laboratory of Urban Underground Space Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Tianyu Li, Peng Xiang & Hongguang Ji

  2. National Engineering Research Center of Deep Shaft Construction, Beijing, 100013, China

    Tianyu Li, Peng Xiang & Hongguang Ji

  3. Shandong Gold Mining (Laizhou) Company Limited Sanshandao Gold Mine, Yantai, 261400, China

    Chang Li

  4. China Coal Construction Group Third Engineering Department, Yantai, 261400, China

    Wei Wang

Authors
  1. Tianyu Li
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  2. Peng Xiang
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  3. Hongguang Ji
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  4. Chang Li
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  5. Wei Wang
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Contributions

T. L.: Investigation, Data curation, Writing-original draft. P.X.: Writing—review& editing. H.J.: Project administration, Supervision, Writing—review &editing. C. L.: Investigation. W. W.: Investigation. All authors have read and agreed to the published version of the manuscript.

Corresponding author

Correspondence to Peng Xiang.

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The authors declare no competing interests.

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Li, T., Xiang, P., Ji, H. et al. Investigation and enhancement of stress-dependent compliance characteristics in deep in-situ stress measurements based on anelastic strain recovery (ASR) method. Sci Rep (2026). https://doi.org/10.1038/s41598-026-39935-0

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  • Received: 31 August 2025

  • Accepted: 09 February 2026

  • Published: 03 March 2026

  • DOI: https://doi.org/10.1038/s41598-026-39935-0

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Keywords

  • In-situ stress measurement
  • ASR method
  • Anelastic strain recovery compliance
  • ASR measurement accuracy
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