Geophysical tools are non-destructive techniques used normally to explore subsurface geologic structures and buried objects. The goal of geophysical inverse problem is to determine the spatial distribution and depths to buried targets at a variety of scales; it ranges from few centimeters to many kilometers. To identify ore bodies, extension of archaeological targets, old mines, unexploded ordnance (UXO) and oil traps, the linear geomagnetic/gravitational inverse problem resulted from the Fredholm integral equation of the first kind is solved using many strategies. The solution is usually affected by the condition of the kernel matrix of the linear system and the noise level in the data collected. In this paper, a regularized Kaczmarz method is used to get a regularized solution. This solution is taken as an initial solution to Cuckoo search global optimizer to refine the quality and reach a plausible model. The artificial intelligence methods are less sensitive to noise or ill-posedness. To test efficiency, the proposed hybrid method is applied to different synthetic examples of different noise levels and different dimensions. Then, to prove the applicability and reliability of the method, it is applied to different real archaeological sites.
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