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Table 1 The depths obtained through higher-order horizontal derivative analyses for synthetic magnetic anomalies

From: MATLAB-based algorithm to estimate depths of isolated thin dike-like sources using higher-order horizontal derivatives of magnetic anomalies

Graticule spacing (s)

Second order derivative

Third order derivative

Fourth order derivative

Estimated depth (m)

Iteration number

Estimated depth (m)

Iteration number

Estimated depth (m)

Iteration number

Synthetic model without noise

2

6.00

36

6.00

26

6.00

27

3

6.00

26

6.00

18

6.00

22

4

6.00

21

6.00

15

6.00

19

5

6.00

17

6.00

13

6.00

16

Synthetic model with noise

2

5.14

31

6.05

26

4.82

24

3

6.30

27

5.44

17

6.44

23

4

5.79

20

6.39

16

5.81

18

5

6.15

18

5.87

13

6.17

17

Average depth (m)

5.84 ± 0.52

 

5.94 ± 0.39

 

5.81 ± 0.71