Finite Volume Algorithm to Simulate Responses of Multi-component Induction Tools in 3D Inhomogeneous Anisotropic Formation Using Coupled Scalar-Vector Potentials
A novel finite volume method(FVM)is developed for simulation of the responses of multi-component induction logging(MCIL)tool in arbitrarily complex anisotropic formations.To solve the low induction number(LINs)problem and enhance convergent efficiency during the EM modeling,we reformulate Maxwells equation into Helmholtz equations in terms of coupled scalar-vector potentials of the electric field with Coulomb gauge.Then the new Yees nonuniform staggered girds,finite volume averaging and interpolation technique is used to discrete the Helmholtz equations and result in an asymmetrical,large,sparse and complex linear system of equations with a block diagonally dominant structure.The combination of BICGSATB with an incomplete LU-decomposition precondition is applied to iteratively solve the system.The FVM results are validated in horizontally layered inhomogeneous TI models against NMM results.The vector graphs demonstrate the spatial distribution of electrical field and investigate electric current in borehole and the accumulation charges at conductivity interfaces.
Ye Zhang Hongnian Wang Shouwen Yang
School of Physics,Jinlin University,Changchun 130012,China
国际会议
Progress in Electromagnetics Research Symposium 2011(2011年电磁学研究新进展学术研讨会)
苏州
英文
1128-1132
2011-09-01（万方平台首次上网日期，不代表论文的发表时间）