To address the challenges of strong dependence on initial models, low convergence efficiency, and susceptibility to local optima in traditional Rayleigh wave dispersion curve inversion for subsurface shear-wave velocity structure, this study proposes two enhanced algorithms based on the whale migration algorithm (WMA). By introducing Lévy flight and spiral flight strategies, we develop the Lévy flight whale migration algorithm (LF-WMA) and the spiral flight whale migration algorithm (SF-WMA) to strengthen global search capability and local exploitation ability. The performance of five algorithms-damped least squares (Levenberg-Marquardt method, LM), whale optimization algorithm (WOA), WMA, LF-WMA, and SF-WMA-was systematically evaluated using Rastrigin function tests, theoretical geological models, random noise tests, and field data applications. The results demonstrate that SF-WMA outperforms the other methods in inversion accuracy, stability, convergence speed, and noise robustness. It achieves the optimal solution of 4.74×10-10 in the Rastrigin test, exhibits the smallest error and fastest convergence in noisy models, and, when applied to real seismic data, clearly reveals stratigraphic structures within the 0 to 30 m depth range. The inversion results are in good agreement with
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |