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Table 2 Correlation lengths a for velocity perturbations σ = 1–9% for four different scattering layers taken from Table 1

From: Small-scale scattering heterogeneities beneath the northern Tien Shan from the teleseismic P wavefield

Scattering layer

γ (Hz)

σ2a (km)

σ = 1%

a (km)

σ = 3%

a (km)

σ = 5%

a (km)

σ = 7%

a (km)

σ = 9%

a (km)

Upper crust

0.16

0.00494

49.4

5.5

2.0

1.0

0.6

0.37

0.01144

114.4

12.7

4.6

2.3

1.4

0.67

0.02071

207.1

23.0

8.3

4.2

2.6

Whole crust

0.16

0.00152

15.2

1.7

0.6

0.3

0.2

0.37

0.00352

35.2

3.9

1.4

0.7

0.4

0.67

0.00638

63.8

7.1

2.5

1.3

0.8

Lower lithosphere

0.16

0.00173

17.3

1.9

0.7

0.4

0.2

0.37

0.00401

40.1

4.5

1.6

0.8

0.5

0.67

0.00726

72.6

8.1

2.9

1.5

0.9

Lithosphere

0.16

0.00084

8.4

0.9

0.3

0.2

0.1

0.37

0.00194

19.4

2.2

0.8

0.4

0.2

0.67

0.00352

35.2

3.9

1.4

0.7

0.4

  1. The boundary values of σ2a are derived from the extreme values of γ