Table 5 The relative errors of estimated UCS based on derived equations for sandstone.

From: Influence of rock heterogeneity on the correlation between uniaxial compressive strength and Brazilian tensile strength

No.

Actual UCS (MPa)

Estimated UCS using Eq. (1)

Estimated UCS using Eq. (2)

Estimated UCS using Eq. (3)

Value (MPa)

RE (%)

MAPE

Value (MPa)

RE (%)

MAPE

Value (MPa)

RE (%)

MAPE

A

81.53

59.27

− 27.31

11.04

71.61

− 12.17

28.65

B

86.11

84.39

− 2.00

101.96

18.40

C

97.13

105.15

8.26

127.04

30.80

D

85.88

93.57

8.95

113.05

31.63

E

158.97

166.53

4.76

201.20

26.57

F

112.35

111.47

− 0.78

134.68

19.88

G

81.71

61.07

− 25.25

73.79

− 9.69

H

137.14

146.15

6.57

20.93

89.60

− 34.66

I

105.01

91.60

− 12.77

56.16

− 46.52

J

116.15

107.61

− 7.35

65.98

− 43.20

K

131.70

96.64

− 26.62

59.25

− 55.01

L

57.37

73.82

28.67

45.26

− 21.11

M

114.44

101.68

− 11.15

62.34

− 45.53

N

72.47

111.17

53.39

68.16

− 5.96