Two-dimensional magnetotelluric inversion using differential ant-stigmergy algorithm
Liu Jianfeng1, Hu Wenbao2, Hu Xiangyun3
1. School of Mathematics and Physics, China University of Geosciences (Wuhan), Wuhan, Hubei 430074, China;
2. Key Laboratory of Exploration Technologies for Oil and Gas Resources, Ministry of Education, Yangtze University, Wuhan, Hubei 430100, China;
3. Institute of Geophysics and Geomatics, China University of Geosciences (Wuhan), Wuhan, Hubei 430074, China
Abstract:The differential ant-stigmergy algorithm is a kind of efficient algorithm to deal with multi-dimension function optimization. Each of the one dimensional variables with continuous values is discretized first into limited differential steps. And then the corresponding relationships of these discretized differential steps to these vertices of graph are setup. Further pheromones can be distributed on the vertices based on the Cauchy distribution. Therefore ants can randomly select steps according to the pheromone concentration. This algorithm is applied to two-dimensional magnetotelluric data inversion for testing various models. Numerical experiments have shown that the differential ant-stigmergy algorithm is less affected by initial model, and obtain reasonable inversion results. Similar results are obtained on real data test.
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