BULLETIN OF THE CHINESE CERAMIC SOCIETY ›› 2026, Vol. 45 ›› Issue (6): 1924-1936.DOI: 10.16552/j.cnki.issn1001-1625.2025.1281
• Cement and Concrete • Previous Articles Next Articles
LI Yue1(
), ZHOU Guanghui1(
), YANG Bin1, JIN Kaikai1, JIANG Zezhou1, QIU Ziheng1, SHAO Weiwei1,2
Received:2025-12-22
Revised:2026-01-19
Online:2026-06-15
Published:2026-07-14
Contact:
ZHOU Guanghui
CLC Number:
LI Yue, ZHOU Guanghui, YANG Bin, JIN Kaikai, JIANG Zezhou, QIU Ziheng, SHAO Weiwei. Optimization Design and Performance Study of Shotcrete Mix Proportion for Tunnels in High-Altitude Mountainous Regions[J]. BULLETIN OF THE CHINESE CERAMIC SOCIETY, 2026, 45(6): 1924-1936.
| Material | Mass fraction/% | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| CaO | SiO2 | Al2O3 | Fe2O3 | SO3 | TiO2 | MgO | K2O | Other | |
| OPC | 63.22 | 18.57 | 5.57 | 4.35 | 3.32 | 2.17 | 1.58 | 0.58 | 0.64 |
| ESA | 55.39 | 30.49 | 3.10 | 1.71 | 4.09 | 0.57 | 2.83 | 0.61 | 1.21 |
Table 1 Chemical composition of raw materials
| Material | Mass fraction/% | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| CaO | SiO2 | Al2O3 | Fe2O3 | SO3 | TiO2 | MgO | K2O | Other | |
| OPC | 63.22 | 18.57 | 5.57 | 4.35 | 3.32 | 2.17 | 1.58 | 0.58 | 0.64 |
| ESA | 55.39 | 30.49 | 3.10 | 1.71 | 4.09 | 0.57 | 2.83 | 0.61 | 1.21 |
| Material | Mass fraction/% | ||||||
|---|---|---|---|---|---|---|---|
| C3S | C2S | CaCO3 | C4AF | AFt | C3A | Amorphous | |
| OPC | 57.17 | 13.72 | 6.80 | 10.18 | 0 | 6.83 | 5.30 |
| ESA | 50.06 | 14.09 | 13.58 | 6.23 | 1.54 | 1.48 | 13.02 |
Table 2 Quantitative XRD analysis results for cementitious materials
| Material | Mass fraction/% | ||||||
|---|---|---|---|---|---|---|---|
| C3S | C2S | CaCO3 | C4AF | AFt | C3A | Amorphous | |
| OPC | 57.17 | 13.72 | 6.80 | 10.18 | 0 | 6.83 | 5.30 |
| ESA | 50.06 | 14.09 | 13.58 | 6.23 | 1.54 | 1.48 | 13.02 |
| Setting time/min | Compressive strength/MPa | Flexural strength/MPa | |||
|---|---|---|---|---|---|
| Initial setting | Final setting | 3 d | 28 d | 3 d | 28 d |
| 189 | 246 | 26.6 | 48.3 | 5.2 | 7.3 |
Table 3 Physical and mechanical properties of OPC
| Setting time/min | Compressive strength/MPa | Flexural strength/MPa | |||
|---|---|---|---|---|---|
| Initial setting | Final setting | 3 d | 28 d | 3 d | 28 d |
| 189 | 246 | 26.6 | 48.3 | 5.2 | 7.3 |
| Level | A/% | B | C/% | D/% |
|---|---|---|---|---|
| 1 | 20 | 0.30 | 6 | 48 |
| 2 | 23 | 0.33 | 7 | 50 |
| 3 | 26 | 0.36 | 8 | 52 |
Table 4 Factor levels of orthogonal experiment
| Level | A/% | B | C/% | D/% |
|---|---|---|---|---|
| 1 | 20 | 0.30 | 6 | 48 |
| 2 | 23 | 0.33 | 7 | 50 |
| 3 | 26 | 0.36 | 8 | 52 |
| Sample No. | Mass/kg | ||||||
|---|---|---|---|---|---|---|---|
| OPC | ESA | Water | FA | CA | SA | WR | |
| N1 | 458.15 | 80.85 | 161.70 | 768.53 | 832.58 | 32.34 | 7.55 |
| N2 | 431.00 | 108.00 | 161.70 | 795.15 | 795.15 | 43.15 | 7.55 |
| N3 | 404.25 | 134.75 | 161.70 | 829.77 | 765.95 | 37.73 | 7.55 |
| N4 | 458.15 | 80.85 | 178.00 | 818.48 | 755.52 | 43.15 | 7.55 |
| N5 | 431.00 | 108.00 | 178.00 | 758.12 | 821.30 | 37.73 | 7.55 |
| N6 | 404.25 | 134.75 | 178.00 | 792.41 | 792.40 | 32.34 | 7.55 |
| N7 | 458.15 | 80.85 | 194.04 | 781.69 | 781.69 | 37.73 | 7.55 |
| N8 | 431.00 | 108.00 | 194.04 | 815.76 | 753.01 | 32.34 | 7.55 |
| N9 | 404.25 | 134.75 | 194.04 | 747.82 | 810.14 | 43.15 | 7.55 |
Table 5 Mix proportion of shotcrete for orthogonal experiment
| Sample No. | Mass/kg | ||||||
|---|---|---|---|---|---|---|---|
| OPC | ESA | Water | FA | CA | SA | WR | |
| N1 | 458.15 | 80.85 | 161.70 | 768.53 | 832.58 | 32.34 | 7.55 |
| N2 | 431.00 | 108.00 | 161.70 | 795.15 | 795.15 | 43.15 | 7.55 |
| N3 | 404.25 | 134.75 | 161.70 | 829.77 | 765.95 | 37.73 | 7.55 |
| N4 | 458.15 | 80.85 | 178.00 | 818.48 | 755.52 | 43.15 | 7.55 |
| N5 | 431.00 | 108.00 | 178.00 | 758.12 | 821.30 | 37.73 | 7.55 |
| N6 | 404.25 | 134.75 | 178.00 | 792.41 | 792.40 | 32.34 | 7.55 |
| N7 | 458.15 | 80.85 | 194.04 | 781.69 | 781.69 | 37.73 | 7.55 |
| N8 | 431.00 | 108.00 | 194.04 | 815.76 | 753.01 | 32.34 | 7.55 |
| N9 | 404.25 | 134.75 | 194.04 | 747.82 | 810.14 | 43.15 | 7.55 |
| Sample No. | A/% | B | C/% | D/% | Slump/mm | 8 h compressivestrength/MPa | 28 d compressivestrength/MPa |
|---|---|---|---|---|---|---|---|
| N1 | 20 | 0.30 | 6 | 48 | 230 | 8.7 | 47.5 |
| N2 | 20 | 0.33 | 8 | 50 | 230 | 7.5 | 45.7 |
| N3 | 20 | 0.36 | 7 | 52 | 235 | 5.8 | 44.1 |
| N4 | 23 | 0.30 | 8 | 52 | 160 | 7.7 | 51.6 |
| N5 | 23 | 0.33 | 7 | 48 | 200 | 6.4 | 48.5 |
| N6 | 23 | 0.36 | 6 | 50 | 210 | 5.5 | 46.8 |
| N7 | 26 | 0.30 | 7 | 50 | 190 | 11.8 | 54.9 |
| N8 | 26 | 0.33 | 6 | 52 | 210 | 7.9 | 50.2 |
| N9 | 26 | 0.36 | 8 | 48 | 190 | 9.1 | 49.1 |
Table 6 Orthogonal experiment design and results
| Sample No. | A/% | B | C/% | D/% | Slump/mm | 8 h compressivestrength/MPa | 28 d compressivestrength/MPa |
|---|---|---|---|---|---|---|---|
| N1 | 20 | 0.30 | 6 | 48 | 230 | 8.7 | 47.5 |
| N2 | 20 | 0.33 | 8 | 50 | 230 | 7.5 | 45.7 |
| N3 | 20 | 0.36 | 7 | 52 | 235 | 5.8 | 44.1 |
| N4 | 23 | 0.30 | 8 | 52 | 160 | 7.7 | 51.6 |
| N5 | 23 | 0.33 | 7 | 48 | 200 | 6.4 | 48.5 |
| N6 | 23 | 0.36 | 6 | 50 | 210 | 5.5 | 46.8 |
| N7 | 26 | 0.30 | 7 | 50 | 190 | 11.8 | 54.9 |
| N8 | 26 | 0.33 | 6 | 52 | 210 | 7.9 | 50.2 |
| N9 | 26 | 0.36 | 8 | 48 | 190 | 9.1 | 49.1 |
| Parameter | 8 h compressive strength/MPa | 28 d compressive strength/MPa | ||||||
|---|---|---|---|---|---|---|---|---|
| A | B | C | D | A | B | C | D | |
| k1 | 7.33 | 9.40 | 7.37 | 8.07 | 45.77 | 51.33 | 48.17 | 48.37 |
| k2 | 6.53 | 7.27 | 8.00 | 8.27 | 48.97 | 48.13 | 49.17 | 49.13 |
| k3 | 9.60 | 6.80 | 8.10 | 7.13 | 51.40 | 46.67 | 48.80 | 48.63 |
| R | 3.07 | 2.60 | 0.73 | 1.13 | 5.63 | 4.67 | 1.00 | 0.77 |
Table 7 Range analysis for compressive strength
| Parameter | 8 h compressive strength/MPa | 28 d compressive strength/MPa | ||||||
|---|---|---|---|---|---|---|---|---|
| A | B | C | D | A | B | C | D | |
| k1 | 7.33 | 9.40 | 7.37 | 8.07 | 45.77 | 51.33 | 48.17 | 48.37 |
| k2 | 6.53 | 7.27 | 8.00 | 8.27 | 48.97 | 48.13 | 49.17 | 49.13 |
| k3 | 9.60 | 6.80 | 8.10 | 7.13 | 51.40 | 46.67 | 48.80 | 48.63 |
| R | 3.07 | 2.60 | 0.73 | 1.13 | 5.63 | 4.67 | 1.00 | 0.77 |
| Parameter | Slump/mm | ||
|---|---|---|---|
| A | B | D | |
| k1 | 231.67 | 193.30 | 206.67 |
| k2 | 190.00 | 213.33 | 210.00 |
| k3 | 196.67 | 211.67 | 201.67 |
| R | 41.67 | 20.00 | 8.33 |
Table 8 Range analysis for slump
| Parameter | Slump/mm | ||
|---|---|---|---|
| A | B | D | |
| k1 | 231.67 | 193.30 | 206.67 |
| k2 | 190.00 | 213.33 | 210.00 |
| k3 | 196.67 | 211.67 | 201.67 |
| R | 41.67 | 20.00 | 8.33 |
| Sample No. | Mass/g | ||||
|---|---|---|---|---|---|
| OPC | ESA | Water | SA | WR | |
| G1 | 1 000 | 0 | 300.0 | 0 | 10 |
| G2 | 1 000 | 0 | 269.2 | 70 | 10 |
| G3 | 740 | 260 | 300.0 | 0 | 10 |
| G4 | 740 | 260 | 269.2 | 70 | 10 |
Table 9 Mix proportion of cement paste for testing
| Sample No. | Mass/g | ||||
|---|---|---|---|---|---|
| OPC | ESA | Water | SA | WR | |
| G1 | 1 000 | 0 | 300.0 | 0 | 10 |
| G2 | 1 000 | 0 | 269.2 | 70 | 10 |
| G3 | 740 | 260 | 300.0 | 0 | 10 |
| G4 | 740 | 260 | 269.2 | 70 | 10 |
| Sample No. | Initial setting time/min | Final setting time/min | Fluidity/mm |
|---|---|---|---|
| G1 | 135 | 390 | 140 |
| G2 | 2.00 | 3.50 | |
| G3 | 105 | 360 | 130 |
| G4 | 1.50 | 3.25 |
Table 10 Setting time and fluidity of cement paste in each group
| Sample No. | Initial setting time/min | Final setting time/min | Fluidity/mm |
|---|---|---|---|
| G1 | 135 | 390 | 140 |
| G2 | 2.00 | 3.50 | |
| G3 | 105 | 360 | 130 |
| G4 | 1.50 | 3.25 |
| Sample No. | Mass loss rate at different temperature ranges/% | Ca(OH)2 mass fraction/% | |||
|---|---|---|---|---|---|
| 25~200 ℃ | 350~460 ℃ | 550~800 ℃ | |||
| 8 h | G1 | 4.19 | 0.53 | 0.93 | 3.73 |
| G2 | 4.93 | 0.61 | 0.77 | 3.82 | |
| G3 | 5.93 | 0.45 | 0.55 | 2.75 | |
| G4 | 5.97 | 0.42 | 0.70 | 2.89 | |
| 1 d | G1 | 6.68 | 2.43 | 4.66 | 17.82 |
| G2 | 7.96 | 1.25 | 3.91 | 11.71 | |
| G3 | 7.12 | 2.21 | 5.62 | 18.52 | |
| G4 | 9.45 | 1.15 | 4.35 | 12.03 | |
| 28 d | G1 | 8.12 | 3.36 | 5.36 | 22.81 |
| G2 | 9.28 | 2.57 | 5.33 | 19.52 | |
| G3 | 8.29 | 2.49 | 6.90 | 21.83 | |
| G4 | 10.56 | 1.74 | 4.70 | 15.05 | |
Table 11 Mass loss rate of cement paste in each group at different temperature ranges
| Sample No. | Mass loss rate at different temperature ranges/% | Ca(OH)2 mass fraction/% | |||
|---|---|---|---|---|---|
| 25~200 ℃ | 350~460 ℃ | 550~800 ℃ | |||
| 8 h | G1 | 4.19 | 0.53 | 0.93 | 3.73 |
| G2 | 4.93 | 0.61 | 0.77 | 3.82 | |
| G3 | 5.93 | 0.45 | 0.55 | 2.75 | |
| G4 | 5.97 | 0.42 | 0.70 | 2.89 | |
| 1 d | G1 | 6.68 | 2.43 | 4.66 | 17.82 |
| G2 | 7.96 | 1.25 | 3.91 | 11.71 | |
| G3 | 7.12 | 2.21 | 5.62 | 18.52 | |
| G4 | 9.45 | 1.15 | 4.35 | 12.03 | |
| 28 d | G1 | 8.12 | 3.36 | 5.36 | 22.81 |
| G2 | 9.28 | 2.57 | 5.33 | 19.52 | |
| G3 | 8.29 | 2.49 | 6.90 | 21.83 | |
| G4 | 10.56 | 1.74 | 4.70 | 15.05 | |
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