Full
Outline
To address the insufficient robustness of traditional micro-seismic source localization methods under noise interference, we propose a robust micro-seismic source localization framework that integrates genetic algorithm (GA) global search with CTCM-optimized K-means clustering. First, an optimization objective function is constructed based on the arrival time difference mathematical model for different four-by-four combinations of measurement points. The genetic algorithm is employed to traverse and solve these cubic quadratic functions with the unknown three-dimensional coordinates of seismic source as independent variables, generating many source approximate solutions. Second, the CTCM algorithm is introduced to optimize the initial K-means clustering centers. The sum of squared error (SSE) of clustering results is used as the dependent variable of optimization objective function, and the state transition correlation matrix is used to enhance the clustering stability of high-dimensional data. Finally, the optimized K-means yields multiple clustering centers. The robust localization strategy is constructed using the median of these center coordinates and the Mahalanobis distance of each point. The median absolute deviation (MAD) is applied to automatically remove outliers, and the weighted arithmetic mean of the remaining clustering centers is the final solution. The results show that GA-CTCM-K-means method achieves superior anomaly elimination and localization performance in one planar simulation case and two real micro-seismic cases, with localization accuracy reaching 9.524 3 m, 137.865 1 m, and 28.100 9 m, respectively, which is superior to traditional methods such as the Geiger method, simplex method, and source scanning method. This method represents a micro-seismic source localization scheme with practical application value.
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| 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 |
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