Table 7 Fitting results of ground vibration signals by empirical Attenuation formula.

From: A multi-parameters assessment method and prediction model for ground vibration under the high-speed railway bridge

Operating condition

a1

b1

c1

Fitting coefficient(R2)

In the direction of l1

 100 km/h (G3695)

− 10.45

− 0.06624

94.14

0.9951

 150 km/h (G3696)

− 10.48

− 0.06625

107.1

0.9999

 200 km/h (G3654)

− 9.48

− 0.06624

104.6

0.8356

 300 km/h (G924)

− 0.3641

− 0.06625

80.35

0.9859

Operating condition

a2

b2

c2

Fitting coefficient(R2)

In the direction of l2

 100 km/h (G3695)

− 24.68

0.06623

120.5

0.9829

 150 km/h (G3696)

− 17.89

0.06625

112.4

0.6725

 200 km/h (G3654)

− 13.94

0.06624

111.2

0.765

 300 km/h (G924)

− 6.176

0.06625

89.15

04438

Operating condition

a3

b3

c3

Fitting coefficient(R2)

In the direction of l3

 100 km/h (G3695)

− 10.51

0.06624

90.3

0.9917

 150 km/h (G3696)

− 8.765

0.06623

100.7

0.7682

 200 km/h (G3654)

− 7.557

0.06624

102.6

0.00938

 300 km/h (G924)

− 1.973

0.06625

84.72

0.04938