In this paper we tackle the problem of inverting geophysical magnetic data due to simple shape anomalies caused by thin sheet, cylinder and fault models using Occam's inversion scheme. A significant aspect of using Occam's inversion is the choice of the regularization parameter controlling the trade-off between the data fidelity and regularization term in the cost function of optimization problem, and consequently, reliable estimation of subsurface models. Two criteria L-curve and weighted generalized cross validation are considered in order to choose an optimum value of the regularization parameter. The proposed strategy was first evaluated on three theoretical synthetic models for each of the magnetic simple-shaped structures with different random errors, where a considerable agreement was obtained between the exactly known and estimated models. The validity of the technique was also applied to one real data set from Morvarid ironapatite deposit, in Northwest Iran. The resulting inverted parameters using the proposed algorithm correspond reasonably closely with the known geology and nearby borehole information.
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