Input data

Empirical equation

Regression

UPV (m/s) & n (%)

All samples

n (%) = −10.089 (UPV) + 45.94

0.641

G1 Samples

n (%) = −0.002 (UPV) + 35.14

---

G2 Samples

n (%) = −0.008 (UPV) + 43.28

0.825

G3 Samples

n (%) = −0.011 (UPV) + 43.59

0.974

UPV (m/s) & ρ (g/cm³)

ρ = 0.2094 (UPV) + 1.4935

0.468

UPV (m/s) & UCS (MPa)

UCS = 20.72 (UPV) − 30.899

0.346

SRN & UCS (MPa)

UCS = 0.0002 (SRN)^3.3709

0.944

SRN & E_t50 (GPa)

E_t50 = 0.4409 (SRN) − 10.755

0.782

SRN & BTS (MPa)

BTS = 0.0917e^{0.0955 (SRN)}

0.852

n (%) & UCS (MPa)

UCS = −26.472 ln(n) + 97.264

0.864

LOI (%) & UCS (MPa)

UCS = 3.4616 (LOI) + 8.1553

0.619

LOI (%) & n (%)

n (%) = 27.881e^{−0.119 (LOI)}

0.589