Weighted inversion algorithm for real and imaginary parts of one-dimensional complex resistivity with OCCAM model constraints
This paper is the result of engineering geophysical exploration.[Objective]The complex resistivity inversion parameters are four Cole-Cole model parameters,which directly increases the multisolution of complex resistivity inversion.Moreover,the sensitivity of real and imaginary parts of complex resistivity to different Cole-Cole models is different,so the ability of complex resistivity inversion is required.[Methods]In this paper,the regularization idea is introduced into the weighted inversion of the real and imaginary parts of complex resistivity,and four Cole-Cole model parameters are inverted in four steps,and four different weighting coefficients are designed to weight the objective functions of the real and imaginary parts in the inversion of different Cole-Cole parameters,so as to control the proportion of the real and imaginary parts in the inversion.When inverting the same parameter,the inversion results of different initial models are compared,and the influence of the initial models on the inversion results is analyzed.[Results]Model test results show that this algorithm can not only improve the inversion effect of Cole-Cole model parameters,but also reduce the dependence of inversion results on the weighting coefficient and some parameters on the initial model.[Conclusions]The algorithm used in this study has effectively improved the accuracy of the inversion process for the Cole-Cole model parameters.