METHOD, APPARATUS, AND ARTICLE OF MANUFACTURE FOR SOLVING 3D MAXWELL EQUATIONS IN INDUCTIVE LOGGING APPLICATIONS

摘要

An improved method, apparatus and article of manufacture are disclosed for modeling the response of induction logging and other electromagnetic tools to subsurface formations. The improvement of the computer-implemented method is determined by an improved 3D solution of the 3D Maxwell equations, including the following steps: (i) formulating a set of frequency-domain Maxwell equations, including a Maxwell operator; (ii) generating a Krylov subspace from inverse powers of the Maxwell operator by computing actions of an inverse of the Maxwell operator; and (iii) repeating (ii) as needed to achieve convergence of a frequency-domain solution.