Degradation Characteristics of Coal Samples Under the Dry–Wet Cycle Action of Acidic, High-Salinity Solutions: Experimental Study and Fractal Analysis
Abstract
:1. Introduction
2. Methods
2.1. Sample Preparation
2.2. Experimental Method and Procedure
2.3. Equipment
3. Results
3.1. Stress–Strain Characteristics
- (1)
- Pore Compaction Stage: In the initial loading phase, microcracks and pores within the coal sample are compressed and closed, causing the stiffness to gradually increase. The axial stress–strain curve exhibits an upward curvature with an increasing slope (dσ/dε > 0, d2σ/d2ε > 0). Deformation during this stage is irreversible. The initial damage varies with the number of cycles; with increasing cycle numbers, the damage becomes more severe, and internal initial pores increase, resulting in an extension of the compaction stage.
- (2)
- Linear Elastic Deformation Stage: After most of the initial microcracks and pores are compacted, axial pressure continues to increase, and the specimen enters the linear elastic stage. In this stage, the stress–strain relationship is linear (dσ/dε = 0, d2σ/d2ε = 0). The length and closure degree of internal cracks differ for samples subjected to varying numbers of cycles, leading to variations in the duration of the linear elastic stage.
- (3)
- Stable Crack Propagation Stage: After the linear elastic deformation stage ends, with continued axial pressure increase, localized stress concentration occurs at the tips of internal microcracks. When the intensity of this stress concentration exceeds the cracking strength, the microcracks begin to develop and propagate stably.
- (4)
- Unstable Crack Propagation Stage: As the microcracks propagate and coalesce, plastic deformation increases. The specimen’s load-bearing capacity gradually approaches its limit, and the stress–strain curve begins to curve downward, with a decreasing slope (dσ/dε > 0, d2σ/d2ε < 0). During this stage, the stress–strain curve exhibits a stress drop due to crack propagation. As the specimen nears its peak stress, internal cracks develop rapidly, leading to eventual failure.
- (5)
- Post-Failure Stage: After the peak stress, the specimen retains a certain residual strength, which is provided by the friction between the irregularly shaped fracture surfaces. Since this uniaxial compression test adopts a circumferential displacement-controlled loading method, when the specimen fractures, it undergoes volume expansion, causing a sudden increase in circumferential displacement that exceeds the preset loading rate. To maintain the loading rate, the testing machine releases pressure, resulting in a rebound of axial strain. After stabilization, continued loading leads to a gradual reduction in the specimen’s load-bearing strength due to the formation of internal fracture surfaces.
3.2. Strength and Deformation Parameters
3.3. Destruction Mode
3.4. AE Results
4. Discussion
4.1. The RA-AF Distribution Based on AE
4.2. Fractal Characteristics of AE
4.3. The Degradation Mechanism Based on the Microscopic Scale
5. Conclusions
- (1)
- The effect of dry–wet cycles on the mechanical properties and failure modes of coal samples in acidic, high-salinity solutions is significant. As the number of dry–wet cycles increases, the peak strength and elastic modulus of the coal samples degrade to varying extents, with the degradation of the elastic modulus being more pronounced.
- (2)
- In uniaxial compression tests, coal samples in their natural state exhibit significant brittle failure characteristics. However, as the number of dry–wet cycles increases, the failure mode of the coal samples gradually transitions from tensile failure to shear failure, with cracks extending increasingly in the directions deviating from the maximum principal stress.
- (3)
- The number of dry–wet cycles has a significant effect on the AE signals at different stages of the coal samples. As the number of cycles increases, the initial degree of damage within the coal sample gradually intensifies. The AE ringing count decreases progressively, and the cumulative ringing count also decreases correspondingly. Moreover, with the intensification of solution erosion, the initial internal defects increase, and AE signals become more concentrated in the early loading stages.
- (4)
- With the increase in dry–wet cycles, the coal samples undergo erosion and degradation by the acidic, high-salinity solution, with crack propagation transitioning predominantly to shear failure, characterized by sliding action. Based on the RA-AF classification of acoustic emissions, the proportion of shear cracks increases, and the coal samples shift from tensile failure to shear failure, which is consistent with the macro-failure mode of the coal samples.
- (5)
- During the incremental dry–wet cycles, the mean fractal dimension of the coal samples increases accordingly. The fractal dimension decreases with the increase in AE ringing counts. The continuous reduction in fractal dimension can be regarded as the precursor to the failure process of the coal samples, while the sharp decline in fractal dimension serves as a warning signal for the major failure of the coal samples.
- (6)
- The microscopic structure of coal samples in acidic, high-salinity solutions undergoes a complex damage process under different dry–wet cycles. With an increase in the number of cycles, the microscopic structure evolves progressively, with the development of defects such as pores and cracks becoming more pronounced. The deterioration effect intensifies, and the continuous accumulation of microscopic degradation ultimately leads to macro-scale failure in the coal samples.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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TDS | Ca2+ | Na+ | K+ | SO42− | Cl− |
---|---|---|---|---|---|
/mg·L−1 | /mg·L−1 | /mg·L−1 | /mg·L−1 | /mg·L−1 | /mg·L−1 |
4720 | 86 | 1350 | 10.7 | 1145 | 1230 |
Number of Cycles | Peak Strength/MPa | Elastic Modulus/GPa | Dσj /% | Dσi /% | DEj /% | DEi /% |
---|---|---|---|---|---|---|
0 | 20.91 | 2.56 | - | - | - | - |
2 | 10.83 | 1.39 | 48.21 | 24.11 | 45.70 | 22.85 |
4 | 9.06 | 0.83 | 56.67 | 4.23 | 67.58 | 10.94 |
6 | 7.07 | 0.69 | 66.19 | 4.76 | 73.05 | 2.74 |
8 | 5.66 | 0.55 | 72.93 | 3.37 | 78.52 | 2.74 |
Number of Cycles | Fractal Dimension of Different Damage Degrees | |||||||||
---|---|---|---|---|---|---|---|---|---|---|
10% | 20% | 30% | 40% | 50% | 60% | 70% | 80% | 90% | 100% | |
0 | 0.654 | 0.768 | 0.612 | 0.203 | 0.146 | 0.485 | 0.153 | 0.068 | 0.372 | 0.297 |
2 | 0.702 | 0.686 | 0.593 | 0.482 | 0.514 | 0.327 | 0.238 | 0.126 | 0.424 | 0.486 |
4 | 0.734 | 0.752 | 0.685 | 0.539 | 0.264 | 0.513 | 0.327 | 0.082 | 0.415 | 0.305 |
6 | 0.758 | 0.935 | 0.469 | 0.623 | 0.354 | 0.647 | 0.452 | 0.134 | 0.093 | 0.392 |
8 | 0.824 | 1.024 | 0.428 | 0.124 | 0.018 | 0.654 | 0.756 | 1.131 | 0.861 | 0.679 |
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Zhang, L.; Wang, M.; Zhang, B.; Xi, X.; Zhang, Y.; Pan, J. Degradation Characteristics of Coal Samples Under the Dry–Wet Cycle Action of Acidic, High-Salinity Solutions: Experimental Study and Fractal Analysis. Fractal Fract. 2025, 9, 221. https://doi.org/10.3390/fractalfract9040221
Zhang L, Wang M, Zhang B, Xi X, Zhang Y, Pan J. Degradation Characteristics of Coal Samples Under the Dry–Wet Cycle Action of Acidic, High-Salinity Solutions: Experimental Study and Fractal Analysis. Fractal and Fractional. 2025; 9(4):221. https://doi.org/10.3390/fractalfract9040221
Chicago/Turabian StyleZhang, Leiming, Min Wang, Bin Zhang, Xun Xi, Ying Zhang, and Jiliang Pan. 2025. "Degradation Characteristics of Coal Samples Under the Dry–Wet Cycle Action of Acidic, High-Salinity Solutions: Experimental Study and Fractal Analysis" Fractal and Fractional 9, no. 4: 221. https://doi.org/10.3390/fractalfract9040221
APA StyleZhang, L., Wang, M., Zhang, B., Xi, X., Zhang, Y., & Pan, J. (2025). Degradation Characteristics of Coal Samples Under the Dry–Wet Cycle Action of Acidic, High-Salinity Solutions: Experimental Study and Fractal Analysis. Fractal and Fractional, 9(4), 221. https://doi.org/10.3390/fractalfract9040221