Table 4 Stability and sensitivity of 10% noisy synthetic MT data.
From: Nature-inspired stochastic hybrid technique for joint and individual inversion of DC and MT data
Case | Layer parameters | True value | Search range | PSO15 | GWO15 | vPSOGWO |
|---|---|---|---|---|---|---|
1 | \({\rho }_{1}\) (Ωm) | 30,000 | 5000–50,000 | 49,957.1 | 25,517.3 | 29,931.73 |
\({\rho }_{2}\) (Ωm) | 5000 | 1000–25,000 | 4754.7 | 4039.4 | 5641.31 | |
\({\rho }_{3}\) (Ωm) | 1000 | 50–5000 | 987.2 | 986.3 | 975.40 | |
\({h}_{1}\) (m) | 15,000 | 5000–25,000 | 13,383.5 | 16,897.1 | 14,392 | |
\({h}_{2}\) (m) | 18,000 | 10,000–25,000 | 21,432.2 | 18,436.2 | 18,123 | |
NRMS | 0.3140 | 0.1233 | 0.0612 | |||
2 | \({\rho }_{1}\) (Ωm) | 30,000 | 100–50,000 | 25,958.2 | 31,545.5 | 29,932.41 |
\({\rho }_{2}\) (Ωm) | 5000 | 1000–20,000 | 4429.5 | 4333.2 | 5631.63 | |
\({\rho }_{3}\) (Ωm) | 1000 | 1–5000 | 1028.3 | 989.9 | 975.32 | |
\({h}_{1}\) (m) | 15,000 | 5000–25,000 | 16,200.0 | 15,374.4 | 14,408 | |
\({h}_{2}\) (m) | 18,000 | 10,000–25,000 | 17,500.5 | 19,757.4 | 18,134 | |
NRMS | 0.0885 | 0.0784 | 0.0603 | |||
3 | \({\rho }_{1}\) (Ωm) | 30,000 | 10–50,000 | 49,890.8 | 19,159.8 | 29,929.64 |
\({\rho }_{2}\) (Ωm) | 5000 | 10–20,000 | 4703.4 | 2904.5 | 5635.90 | |
\({\rho }_{3}\) (Ωm) | 1000 | 10–5000 | 982.4 | 980.8 | 975.37 | |
\({h}_{1}\) (m) | 15,000 | 10,000–25,000 | 13,473.0 | 21,197.5 | 14,402 | |
\({h}_{2}\) (m) | 18,000 | 10,000–25,000 | 21,425.6 | 15,646.3 | 18,111 | |
NRMS | 0.3131 | 0.3144 | 0.0607 | |||
4 | \({\rho }_{1}\) (Ωm) | 30,000 | 100–50,000 | 31,545.5 | 48,149.9 | 29,932.67 |
\({\rho }_{2}\) (Ωm) | 5000 | 1000–20,000 | 5448.3 | 4333.2 | 5629.68 | |
\({\rho }_{3}\) (Ωm) | 1000 | 1–5000 | 1002.2 | 989.9 | 975.36 | |
\({h}_{1}\) (m) | 15,000 | 5000–25,000 | 15,374.4 | 12,265.2 | 14,403 | |
\({h}_{2}\) (m) | 18,000 | 10,000–25,000 | 21,522.4 | 19,757.4 | 18,122 | |
NRMS | 0.0996 | 0.2921 | 0.0602 | |||
5 | \({\rho }_{1}\) (Ωm) | 30,000 | 25,000–50,000 | 44,017.0 | 37,231.1 | 29,926.91 |
\({\rho }_{2}\) (Ωm) | 5000 | 1000–20,000 | 4749.5 | 4480.9 | 5635.87 | |
\({\rho }_{3}\) (Ωm) | 1000 | 500–5000 | 988.8 | 989.0 | 975.37 | |
\({h}_{1}\) (m) | 15,000 | 10,000–25,000 | 13,652.9 | 14,549.2 | 14,400 | |
\({h}_{2}\) (m) | 18,000 | 15,000–30,000 | 21,104.7 | 20,491.1 | 18,123 | |
NRMS | 0.2275 | 0.1335 | 0.0607 | |||
6 | \({\rho }_{1}\) (Ωm) | 30,000 | 25,000–35,000 | 28,877.0 | 25,691.5 | 29,932.70 |
\({\rho }_{2}\) (Ωm) | 5000 | 1000–10,000 | 4153.2 | 4108.9 | 5640.98 | |
\({\rho }_{3}\) (Ωm) | 1000 | 500–5000 | 987.2 | 987.5 | 975.40 | |
\({h}_{1}\) (m) | 15,000 | 10,000–20,000 | 16,068.1 | 16,734.4 | 14,393 | |
\({h}_{2}\) (m) | 18,000 | 15,000–25,000 | 19,277.3 | 18,465.9 | 18,121 | |
NRMS | 0.0898 | 0.1154 | 0.0612 | |||
