Table 2 Stability and sensitivity of 10% noisy synthetic DC resistivity sounding 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) | 2500 | 1000–5000 | 2612.9 | 2747.5 | 2575.81 |
\({\rho }_{2}\) (Ωm) | 100 | 10–1000 | 10 | 102.5 | 100.11 | |
\({\rho }_{3}\) (Ωm) | 300 | 100–3000 | 284.2 | 344.8 | 297.84 | |
\({h}_{1}\) (m) | 1.5 | 0–20 | 1.6 | 1.5 | 1.48 | |
\({h}_{2}\) (m) | 25 | 1–50 | 1.0 | 24.3 | 24.51 | |
NRMS | 0.5901 | 0.0819 | 0.0175 | |||
2 | \({\rho }_{1}\) (Ωm) | 2500 | 1–5000 | 2691.4 | 2687.4 | 2576.25 |
\({\rho }_{2}\) (Ωm) | 100 | 1–1000 | 106.4 | 104.7 | 100.07 | |
\({\rho }_{3}\) (Ωm) | 300 | 1–3000 | 325.6 | 320.8 | 297.83 | |
\({h}_{1}\) (m) | 1.5 | 0–20 | 1.5 | 1.5 | 1.48 | |
\({h}_{2}\) (m) | 25 | 1–50 | 26.1 | 24.3 | 24.48 | |
NRMS | 0.0619 | 0.0518 | 0.0179 | |||
3 | \({\rho }_{1}\) (Ωm) | 2500 | 1500–5000 | 2696.5 | 2686.9 | 2576.16 |
\({\rho }_{2}\) (Ωm) | 100 | 50–1000 | 112.9 | 103.7 | 100.07 | |
\({\rho }_{3}\) (Ωm) | 300 | 100–3000 | 339.8 | 321.6 | 297.80 | |
\({h}_{1}\) (m) | 1.5 | 1–20 | 1.5 | 1.5 | 1.48 | |
\({h}_{2}\) (m) | 25 | 10–50 | 33.9 | 23.9 | 24.48 | |
NRMS | 0.1828 | 0.0531 | 0.0178 | |||
4 | \({\rho }_{1}\) (Ωm) | 2500 | 1500–3500 | 2692.7 | 2688.9 | 2575.65 |
\({\rho }_{2}\) (Ωm) | 100 | 50–150 | 108.1 | 105.5 | 100.09 | |
\({\rho }_{3}\) (Ωm) | 300 | 200–400 | 328.1 | 325.5 | 297.78 | |
\({h}_{1}\) (m) | 1.5 | 1–2 | 1.5 | 1.5 | 1.48 | |
\({h}_{2}\) (m) | 25 | 15–35 | 27.9 | 25.9 | 24.49 | |
NRMS | 0.0833 | 0.0587 | 0.0177 | |||
5 | \({\rho }_{1}\) (Ωm) | 2500 | 2000–5000 | 2693.9 | 2688.4 | 2575.65 |
\({\rho }_{2}\) (Ωm) | 100 | 50–1500 | 109.2 | 104.8 | 100.10 | |
\({\rho }_{3}\) (Ωm) | 300 | 200–1000 | 338.1 | 323.6 | 297.81 | |
\({h}_{1}\) (m) | 1.5 | 1–50 | 1.5 | 1.5 | 1.48 | |
\({h}_{2}\) (m) | 25 | 15–100 | 32.3 | 24.8 | 24.50 | |
NRMS | 0.1522 | 0.0534 | 0.0176 | |||
6 | \({\rho }_{1}\) (Ωm) | 2500 | 1–3000 | 2688.9 | 2690.2 | 2575.78 |
\({\rho }_{2}\) (Ωm) | 100 | 1–200 | 109.0 | 107.4 | 100.09 | |
\({\rho }_{3}\) (Ωm) | 300 | 1–400 | 331.4 | 325.7 | 297.83 | |
\({h}_{1}\) (m) | 1.5 | 0–2 | 1.5 | 1.5 | 1.48 | |
\({h}_{2}\) (m) | 25 | 1–30 | 29.4 | 26.3 | 24.51 | |
NRMS | 0.1056 | 0.0653 | 0.0175 | |||
