摘要
In this paper, the authors present a fast algorithm of the responses of an array multicomponent induction logging (AMCIL) tool in horizontally stratified inhomogeneous TI media by numerical matching mode method (NMM). The computation of the AMCIL responses is transformed into three axially symmetrical problems about the EM fields by means of the Fourier series expanding. On base of the singularities of the derivatives of conductivity functions with respect to the radial distance, the authors derive the two extra singular differential operators about the EM fields. The operators describe the influence of the accumulation surface charges at cylindrical interfaces on the EM fields exited by the coplanar coil system. The NMM is used to fast simulate the axially symmetrical problems, and obtain the semianalytic solutions of the EM fields excited by the triaxial transmitter in the inhomogeneous TI media. Then, the method is given to compute the MCIL responses. Finally, numerical results validate the algorithm and further investigate the response characteristic of AMCIL.