Table 6 Correlation models between the velocity (V) and stiffness coefficient (C), obtained by ultrasound testing, and the initial modulus of elasticity (Eci) and strength (fc), obtained by static compression testing for each type of rock from which the gravel was obtained—45 kHz frequency transducer
Parameters | Gravel type | Model | P-value | R2 (%) | Estimate error | Relative errora (%) |
|---|---|---|---|---|---|---|
Eci x C | Basalt | Eci = 7.5 + 0.011*C2 | 0.0000 | 91.5 | 1.02 | 6.1 |
Limestone | Eci = 7.2 + 0.011*C2 | 0.0000 | 97.6 | 1.11 | 5.2 | |
Gneiss | Eci = 7.1 + 0.011*C2 | 0.0000 | 94.1 | 0.94 | 5.5 | |
Granite | Eci = 8.9 + 0.011*C2 | 0.0000 | 97.0 | 0.93 | 4.7 | |
Eci x C | General | Eci = 8.1 + 0.010*C2 | 0.0000 | 93.6 | 1.37 | 7.2 |
Eci x V | Basalt | Eci = (1.30 + 2.2*10–7*V2)2 | 0.0000 | 90.7 | 0.13 | 0.8 |
Limestone | Eci= (1.05 + 2.2*10–7*V2)2 | 0.0000 | 97.6 | 0.12 | 0.6 | |
Gneiss | Eci = (1.43 + 1.9*10–7*V2)2 | 0.0000 | 92.5 | 0.13 | 0.8 | |
Granite | Eci = (1.51 + 2.1*10–7*V2)2 | 0.0000 | 94.5 | 0.13 | 0.7 | |
Eci x V | General | Eci = (1.44 + 2.0*10–7*V2)2 | 0.0000 | 92.5 | 0.16 | 0.9 |
fc x C | Basalt | fc = (7.24−95.4/C) 2 | 0.0000 | 86.0 | 0.23 | 1.6 |
Limestone | fc = (7.47−114.5/C)2 | 0.0000 | 95.9 | 0.18 | 1.1 | |
Gneiss | fc = (7.92−109.3/C)2 | 0.0000 | 89.4 | 0.24 | 1.3 | |
Granite | fc = (8.21−122.9/C)2 | 0.0000 | 87.7 | 0.35 | 2.0 | |
fc x C | General | fc = (7.48−103.4/C)2 | 0.0000 | 82.7 | 0.34 | 2.0 |
fc x V | Basalt | fc = -17.1 + 2.5*10–6*V2 | 0.0000 | 88.1 | 1.65 | 11.4 |
Limestone | fc = -16.1 + 2.1*10–6*V2 | 0.0000 | 95.5 | 1.57 | 9.3 | |
Gneiss | fc = -16.1 + 2.5*10–6*V2 | 0.0000 | 86.2 | 2.27 | 12.4 | |
Granite | fc = -25.7 + 3.0*10–6*V2 | 0.0000 | 91.5 | 2.49 | 15.1 | |
fc x V | General | fc= -13.5 + 2.1*10–6*V2 | 0.0000 | 78.5 | 3.15 | 19.0 |