Radiation of Arbitrary Magnetic Dipoles in a Cylindrically Layered Anisotropic Medium for Well-Logging Applications

We present a set of stable and efficient formulas to compute the electromagnetic radiation of arbitrary magnetic dipoles in a cylindrically layered anisotropic medium. This set of formulas is derived on the basis of the generalized reflection and transmission coefficients. By expressing our new formulas by the ratios of Bessel or Hankel functions, rather than directly by these special functions, the notorious overflow problem for numerical computation is successfully obviated. Our formulas can be easily implemented for any number of layers, as well as for arbitrary locations and orientations of the transmitter and the receiver. Numerical experiments have demonstrated their correctness and stability. They are then utilized to investigate the influence of the eccentricity distance, the eccentricity angle, and the formation anisotropy on the response of a multicomponent induction logging tool.