Application of the MR-CSI Method for Three-Dimensional Imaging of the Triaxial Induction Measurements

We present a nonlinear inversion method for 3-D imaging of the near-wellbore region employing multiarray triaxial induction data. The method used is the so-called multiplicative-regularized contrast source inversion method. There are two main features of this method. The first is that the method does not require the explicit solution of the full forward problem at each iteration step. The second is that the regularizer is included as a multiplicative constraint that allows the automatic and adaptive determination of the regularization parameter. These two features enable us to robustly solve a large-scale inverse problem using single-processor present-day computer power.