Table 5.
Inversion results of the field magnetic anomalies using BMO and PSO without and with the implementation of the SMA technique.
| Chromite Ore, Tangarparha, Odisha, India | |||
|---|---|---|---|
| Without the implementation of the SMA technique | |||
| Parameter set | Search spaces | PSO results | BMO results |
| K (nT × m2q−2) | − 124.88 ~ − 41.626/230.91 ~ 692.74/− 150.15 ~ − 50.05 | − 89.911 ± 0/532.39 ± 33.388/− 108.11 ± 0 | − 83.456 ± 0.5482/460.69 ± 3.0421/− 100.35 ± 0.6592 |
| θ (degree) | 80.154 ~ 240.46/0 ~ 0/1.2652 ~ 3.7957 | 156.14 ± 0.8431/0 ± 0/2.7927 ± 0.7742 | 158.86 ± 1.115/0 ± 0/2.5077 ± 0.017604 |
| x0 (m) | 24.259 ~ 72.777/477.53 ~ 1432.6/494.74 ~ 1484.2 | 49.481 ± 0.9878/841.03 ± 56.92/1081.3 ± 317.91 | 48.976 ± 0.1202/964.07 ± 2.3662/998.81 ± 2.4534 |
| z0 (m) | 112.4 ~ 337.21/254.18 ~ 762.53/103.96 ~ 311.89 | 181.3 ± 27.483/457.75 ± 129.73/272.66 ± 2.5461 | 224.57 ± 1.906/507.82 ± 4.3115/207.7 ± 1.7627 |
| q | 1.213 ~ 3.6391/1.2523 ~ 3.757/1.1962 ~ 3.588 | 2.4537 ± 0.0038/2.5574 ± 0.0048/2.8354 ± 0.0289 | 2.43 ± 0.0042/2.5087 ± 0.0043/2.3961 ± 0.0042 |
| RMSE between the observed magnetic anomaly and the obtained residual responses | 82.0409 ± 0.9173 | 29.6877 ± 0.6917 | |
| With the implementation of the SMA technique (the mean output of various dx) | |||
| K (nT × m2q−2) | − 83.42 ± 0.2328/508.09 ± 1.3828/− 100.18 ± 0.2201 | ||
| θ (degree) | 160 ± 0.4774/0 ± 0/1.2748 ± 0.0046261 | ||
| x0 (m) | 38.92 ± 0.12763/968.77 ± 3.514/993.73 ± 3.3938 | ||
| z0 (m) | 320.11 ± 1.6701/540.34 ± 2.2061/247.09 ± 1.1117 | ||
| q | 2.4318 ± 0.0187/2.5016 ± 0.0195/2.3785 ± 0.0197 | ||
| RMSE between the calculated SMA magnetic anomalies and the inverted one | 4.2777 ± 0.0010 | ||
| Uranium Ore, Beldih Mine, Purulia, West Bengal, India | |||
| Without the implementation of the SMA technique | |||
| K (nT × m2q−2) | 500.71 ~ 1502.1/1887 ~ 5660.9/761.75 ~ 2285.2 | 1072.1 ± 174.09/3614.6 ± 1287.4/1934.5 ± 293.66 | 1018.1 ± 1.5033/3836.9 ± 5.7627/1548.9 ± 2.2656 |
| θ (degree) | 18.261 ~ 54.783/30.131 ~ 90.393/− 1.8007 ~ − 0.600 | 40.125 ± 3.3586/61.178 ± 24.724/− 1.1525 ± 0 | 36.585 ± 0.0702/60.365 ± 0.1153/− 1.1984 ± 0.0023 |
| x0 (m) | 55.468 ~ 166.4/83.652 ~ 250.96/129.37 ~ 388.11 | 98.389 ± 26.253/165.61 ± 12.337/221.96 ± 53.706 | 110.61 ± 0.2385/166.81 ± 0.3524/257.97 ± 0.5643 |
| z0 (m) | 6.97 ~ 20.91/16.086 ~ 48.258/5.8273 ~ 17.482 | 15.849 ± 5.9752/44.571 ± 2.4841/7.459 ± 0 | 13.957 ± 0.2744/32.21 ± 0.6317/11.669 ± 0.22926 |
| q | 0.4635 ~ 1.3908/0.5155 ~ 1.5466/0.57816 ~ 1.7345 | 1.0296 ± 0.15337/1.0319 ± 0.0465/1.3087 ± 0.0335 | 0.9303 ± 0.0010/1.0346 ± 0.0012/1.1602 ± 0.00125 |
| RMSE between the observed magnetic anomaly and the obtained residual responses | 262.6028 ± 63.7970 | 119.7986 ± 2.7188 | |
| With the implementation of SMA technique (the mean output of various dx) | |||
| K (nT × m2q−2) | 1135.2 ± 5.4598/4474.1 ± 32.224/1402.1 ± 7.4276 | ||
| θ (degree) | 32.261 ± 0.1291/55.003 ± 0.1336/− 0.8413 ± 0.0025 | ||
| x0 (m) | 111.21 ± 0.1963/168.96 ± 0.5606/259.28 ± 1.4854 | ||
| z0 (m) | 13.646 ± 0.0696/33.115 ± 0.1668/11.665 ± 0.0575 | ||
| q | 0.9786 ± 0.0012/1.0582 ± 0.0046/1.1005 ± 0.0036 | ||
| RMSE between the calculated SMA magnetic anomalies and the inverted one | 41.0148 ± 0.1821 | ||
| Mesozoic dyke anomaly, Brazil | |||
| Without the implementation of the SMA technique | |||
| K (nT × m2q−2) | − 2003.3 ~ − 1078.7 | − 1195.3461 ± 160.9861 | − 1518.7165 ± 4.3658 |
| θ (degree) | 41.468 ~ 77.012 | 41.7885 ± 0.1377 | 36.0851 ± 0.1544 |
| x0 (m) | 0.399 ~ 0.741 | 0.6333 ± 0.0131 | 0.6598 ± 0.0590 |
| z0 (m) | 2.429 ~ 4.511 | 4.5077 ± 0.0025 | 5.7835 ± 0.0166 |
| q | 1.4 ~ 2.6 | 2.0248 ± 0.0348 | 1.9700 ± 0.0030 |
| RMSE between the observed magnetic anomaly and the obtained residual responses | 7.8110 ± 0.0174 | 4.7079 ± 0.0442 | |
| With the implementation of the SMA technique (the mean output of various dx) | |||
| K (nT × m2q−2) | − 1531.4377 ± 84.6412 | ||
| θ (degree) | 32.3969 ± 0.8404 | ||
| x0 (m) | 0.84221 ± 0.0061 | ||
| z0 (m) | 5.2524 ± 0.0488 | ||
| q | 2.1250 ± 0.0342 | ||
| RMSE between the calculated SMA magnetic anomalies and the inverted one | 1.0191 ± 0.0001 | ||
Significant values are in bold.