Abstract
In this letter, we present a set of compact and no-overflow formulations to calculate the electromagnetic (EM) fields from coaxial coil antennas in a concentric cylindrically multilayered medium. It can be applied to fast forward computation and the inverse problem for EM well logging. The derivation is performed by using the tangential component of electric field. In contrast with previous formulations, the adopted novel reflection and transmission coefficients are scalars rather than matrices, which make it easy to get an accurate and efficient Jacobian matrix for inversion problem. The basic unit of the formulations is the ratio of the cylindrical functions so that the notorious overflow problem for numerical computation can be obviated. Numerical results in comparison with those from other approaches have demonstrated the validity and stability of our new formulations for forward modeling. To show the potential of the proposed formulations, an inverse result from a simple formation model is also presented.
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