Table 3 Mean model with the level of uncertainty in the posterior utilizing individual inversion of MT synthetic data distorted with 10% noise from vPSOGWO compared with results inverted by Chandra et al.15.

From: Nature-inspired stochastic hybrid technique for joint and individual inversion of DC and MT data

Layer parameters

True model

Search range

Inverted value

Lower

Upper

Chandra et al.15

Current inverted values

PSO

GWO

vPSOGWO

(PDF = 100%CI)

vPSOGWO

(PDF > 68.27% CI)

\({\rho }_{1}\) (Ωm)

30,000

10,000

50,000

38,374.3 ± 10,857.3

31,215.8 ± 10,309.16

30,244.99 ± 18.86

30,245.02 ± 6.65

\({\rho }_{2}\) (Ωm)

5000

100

25,000

4706.4 ± 432.98

4033.3 ± 576.23

5663.70 ± 51.96

5664.67 ± 20.80

\({\rho }_{3}\) (Ωm)

1000

1

5000

996.1 ± 17.16

987.2 ± 3.45

986.75 ± 0.60

986.76 ± 0.21

\({h}_{1}\) (m)

15,000

5000

25,000

14,690 ± 1340

16,170 ± 2980

14,230 ± 61

14,230 ± 18

\({h}_{2}\) (m)

18,000

10,000

25,000

20,380 ± 1650

18,760 ± 1720

17,610 ± 43

17,610 ± 9.5

Fitness

NRMS = 0.050

NRMS = 0.049

RMS = 0.02543