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April 26, 2026Applied Sciences0 citationsOpen Access

Mechanism of Progressive Failure, Stress and Wave Velocity Misalignment in Sandstone

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YSYue ShiJZJianping ZuoSZShankun Zhao

Key Points

  • This research aims to understand the mechanisms behind progressive failure and wave velocity misalignment in sandstone.
  • Used a rock triaxial test system to investigate sandstone under confining pressures of 0, 2, 5, and 10 MPa.
  • Conducted synchronous ultrasonic wave velocity monitoring during the tests to observe mechanical responses.
  • Applied Martin’s crack strain theory to analyze results from two replicate tests per confining pressure.
  • The normalized stress at peak wave velocity ranges from 0.84 to 0.99.
  • Normalized crack initiation stress ranges from 0.55 to 0.68, while crack damage stress ranges from 0.79 to 0.91.
  • With increased confining pressure, differences between peak wave velocity and peak stress increase, along with changes in crack propagation stages.

Abstract

The phenomenon of progressive failure, stress and wave velocity asynchrony in rocks can inform early warning approaches for rock stability. In this study, the Geotechnical Consulting and Testing Systems rock triaxial test system was used to investigate the compression failure of sandstone from the Ningtiaota mine under confining pressures of 0, 2, 5, and 10 MPa, with synchronous ultrasonic wave velocity monitoring. Based on Martin’s crack strain theory, the variation laws of mechanical and wave velocity response characteristics during progressive failure were obtained from two replicate tests per confining pressure. The results indicate that the normalized stress at peak wave velocity σvmaxP/σf ranges from 0.84 to 0.99, whereas the normalized strain ranges from 0.73 to 0.98. With increasing confining pressure, both the strain and stress differences between the peak wave velocity and the peak stress increase. Wave velocity change results from the combined action of effective stress (promoting velocity increase) and crack strain (leading to velocity decrease), causing the wave velocity peak to occur ahead of the stress peak. The normalized crack initiation stress σci/σf ranges from 0.55 to 0.68, and the normalized crack damage stress σcd/σf ranges from 0.79 to 0.91, consistent with literature values for intact sandstones. With increasing confining pressure, the proportion of the compaction stage remains unchanged, while the stable crack propagation stage decreases, and the elastic and unstable crack propagation stages increase. The stress-normalized difference between the peak wave velocity and the damage variable protrusion point is approximately 0.1σf, showing a slight decreasing trend with increasing confining pressure.

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Cite This Study

Shi et al. (2026) studied this question.

synapsesocial.com/papers/69edacbd4a46254e215b4644https://doi.org/10.3390/app16094141
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