Abstract:

The difference scheme of the 2D induction logging in cylindrical coordinates was derived, and the finite deference frequency domain method was employed to solve the induction logging forward modeling problem. Based on the fact that the coefficient matrix was a large sparse, complex and ill posed matrix and the linear system was difficult to solve, the bi-conjugate gradient stabilized (BICGSTAB) algorithm with incomplete LU factorization precondictioning was employed to solve this ill posed linear system. The results show that this algorithm has advantages of high performance, high precision and stability and can improve the performance and the precision of induction logging forward modeling.

Key words: induction logging, finite deference frequencydomain (FDFD), twodimensional forward modeling, incomplete LU factorization, biconjugate gradient stabilized method (BICGSTAB)