岩石复电阻率频谱模型参数的反演

复电阻率频谱在地球物理勘探领域具有非常广阔的应用,但是其模型的选择及其参数反演比较困难.模拟退火算法以其全局寻优、不依赖于初值以及不受变量个数的限制等优点,可以在复电阻率频谱模型参数的反演中发挥重要的作用.采用模拟退火算法,结合各个模型的参数约束,反演了Cole-Cole模型、基于乘积形式的二阶复Cole-Cole模型以及Dias模型等3个模型的参数,结果表明,利用模拟退火可以准确求取复电阻率模型参数,对于岩石复电阻率频谱参数的反演及其应用,Dias模型运用比传统的Cole-Cole模型及基于乘积形式的二阶复Cole-Cole模型更具有优势.

The Frequency Dispersion Models of Rock Complex Resistivity and Their Parameters Inversion

The complex resistivity frequency spectrum has wide uses in the geophysics prospecting area. Its frequency dispersion model selection and the corresponding parameters inversion are difficult to be obtained. Simulated annealing method, which has several advantages, such as global optimization, independence on initial values and number of the parameters, can be used in the inversion of the complex resistivity model parameters. In this paper, the simulated annealing method is used to inverse the parameters of Cole-Cole model, multi-Cole-Cole model and Dias model combining with the restriction of each model. The results show that this method is valuable to inverse the parameters of the models. With a view to the number and geophysical meaning of the parameters, Dias model is of potential advantage over the traditional Cole-Cole model and the multi-Cole-Cole model.