Method, apparatus, and article of manufacture for solving 3d...

Details Method, apparatus, and article of manufacture for solving 3d... Method, apparatus, and article of manufacture for solving 3d...

G - Physics

01

V

G01V 3/28 (2006.01) G01V 3/38 (2006.01) G06F 17/13 (2006.01) G11B 23/00 (2006.01)

Patent

CA 2244998

An improved method, apparatus and article of manufacture are disclosed for modelling 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, and (iii) repeating (ii) as needed to achieve convergence of a frequency domain solution.

La présente invention concerne un procédé amélioré, un dispositif et un article manufacturé permettant de modéliser la réponse de diagraphie par induction et d'autres instruments électromagnétiques et de les appliquer à des formations souterraines. L'amélioration du procédé informatisé est déterminée par la résolution en trois dimensions améliorée des équations de Maxwell en trois dimensions qui comporte les étapes suivantes: (i) la formulation d'un ensemble d'équations de Maxwell en domaine fréquentiel, qui comprennent un opérateur de Maxwell, (ii) la création d'un sous-espace de Krylov à partir des puissances inverses de l'opérateur de Maxwell par calcul d'un inverse de l'opérateur de Maxwell, et, (iii) par la répétition de (ii), si nécessaire, en vue d'obtenir la convergence d'une résolution en domaine fréquentiel.

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