Effects of Initial Damage on Water-Weakening and Acoustic Emission Characteristics of Bedded Shale
Featured Application
Abstract
1. Introduction
2. Materials and Methods
2.1. Materials and Specimen Preparation
2.2. Testing Procedure for the Direct-Saturation Group (DS)
2.3. Testing Procedure for the Pre-Damage–Saturation Group (PDRS)
3. Results and Analysis
3.1. Mechanical Results and Analysis
3.1.1. Quantification of Pre-Damage Degree and P-Wave Velocity Anisotropy
3.1.2. Stress–Strain Characteristics
3.1.3. Peak Strength and Elastic Modulus
3.2. AE Results and Analysis
3.2.1. Temporal Evolution of AE Counts and Cumulative AE Counts
3.2.2. Tensile–Shear Mechanism Discrimination by RA–AF
3.2.3. Event-Size Statistics Characterized by the b-Value
3.3. Macroscopic Failure Characteristics
4. Discussion
4.1. Mechanisms by Which Initial Damage Modifies Water-Induced Weakening in Bedded Shale
4.2. Coupled Effects of Bedding Anisotropy, Water State, and Loading History on Shale Performance
5. Conclusions
- Pre-damage produced measurable reductions in P-wave velocity without causing macroscopic failure. Across all orientations, P-wave velocity decreased after pre-damage, with a mean reduction of 1.23%. The anisotropy index changed only slightly, from 1.195 to 1.207, suggesting that pre-damage mainly reduced the absolute wave velocity while the overall anisotropic pattern remained similar.
- Compared with DS, the PDRS route showed lower peak strength and elastic modulus at all tested bedding orientations. The mean peak strength decreased from 107.43 MPa in DS to 67.00 MPa in PDRS, and the mean elastic modulus decreased from 15.59 GPa to 10.74 GPa. Both strength and stiffness remained clearly dependent on bedding orientation.
- The temporal organization of AE activity differed between the two routes. In the DS group, AE activity was more concentrated near the peak-neighborhood stage for several orientations. In contrast, the PDRS group more often exhibited earlier activation and more sustained pre-peak accumulation, indicating a more staged development of cracking activity before failure.
- Based on the RA-AF results, the cracking-mode partitioning differed clearly between DS and PDRS. In the DS group, tensile-like and shear-like event proportions varied strongly with bedding orientation. In the PDRS group, tensile-like events dominated across all orientations, with tensile-like proportions ranging from 68.08% to 91.98%.
- Event-size statistics and macroscopic failure patterns also differed between the two routes. The DS group showed a wide b-value range of 0.5136–5.6815 with pronounced orientation dependence, whereas the PDRS group showed a narrower range of 1.5417–2.2820. In macroscopic observations, DS more often developed distributed multi-crack networks, whereas PDRS more often failed through a limited number of dominant fractures with reduced branching complexity. Together, these results suggest that introducing pre-damage before saturation alters the subsequent weakening and failure development of bedded shale during reloading.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A. Time Dependence of b-Value


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| Bedding Degree (°) | (θ) (m/s) | (θ) (m/s) | (θ) (%) |
|---|---|---|---|
| 0° | 4464 | 4460 | 0.09% |
| 15° | 4386 | 4310 | 1.73% |
| 30° | 4545 | 4540 | 0.11% |
| 45° | 4717 | 4630 | 1.84% |
| 60° | 5001 | 4808 | 3.86% |
| 75° | 4902 | 4887 | 0.31% |
| 90° | 5238 | 5202 | 0.69% |
| θ (°) | Fracture Mode (DS) | Fracture Mode (PDRS) | T/S (%) (DS) | T/S (%) (PDRS) | b-Value (DS) | b-Value (PDRS) |
|---|---|---|---|---|---|---|
| 0 | Across-bedding splitting–spalling | Across-bedding localized main crack | 37.12/ 62.88 | 85.06/ 14.94 | 1.7615 | 1.7532 |
| 15 | Across-bedding axial splitting | Across-bedding single splitting | 80.72/ 19.28 | 91.98/ 8.11 | 1.9678 | 1.8028 |
| 30 | Branched network, mixed-mode | Transitional-dominant composite splitting | 46.63/ 53.37 | 82.54/ 17.46 | 5.6815 | 1.5417 |
| 45 | Conjugate shear, through-going | Transitional-dominant main surface | 74.04/ 25.96 | 86.72/ 13.28 | 0.5163 | 1.6168 |
| 60 | Directional mixed-mode cracking | Multi-crack cooperative cracking | 82.63/ 17.37 | 68.08/ 31.92 | 1.3889 | 2.2820 |
| 75 | Along-bedding inclined main crack | Along-bedding main shear plane | 81.68/ 18.32 | 73.90/ 26.10 | 1.4996 | 1.8774 |
| 90 | Along-bedding banded splitting | Along-bedding splitting–delamination | 79.84/ 20.16 | 81.94/ 18.06 | 1.3270 | 1.7082 |
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Liu, H.; Xie, Y.; Liao, J. Effects of Initial Damage on Water-Weakening and Acoustic Emission Characteristics of Bedded Shale. Appl. Sci. 2026, 16, 2901. https://doi.org/10.3390/app16062901
Liu H, Xie Y, Liao J. Effects of Initial Damage on Water-Weakening and Acoustic Emission Characteristics of Bedded Shale. Applied Sciences. 2026; 16(6):2901. https://doi.org/10.3390/app16062901
Chicago/Turabian StyleLiu, Huiqing, Yachen Xie, and Jianxing Liao. 2026. "Effects of Initial Damage on Water-Weakening and Acoustic Emission Characteristics of Bedded Shale" Applied Sciences 16, no. 6: 2901. https://doi.org/10.3390/app16062901
APA StyleLiu, H., Xie, Y., & Liao, J. (2026). Effects of Initial Damage on Water-Weakening and Acoustic Emission Characteristics of Bedded Shale. Applied Sciences, 16(6), 2901. https://doi.org/10.3390/app16062901

