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Simulation of ultra-deep LWD azimuthal resistivity tool in cylindrical formation
LI Guoyu1, HONG Decheng2, YUE Xizhou1,3, LIU Tianlin1, WU Shengzhe2, MA Mingxue1
(1.Well-Tech R & D Institute, China Oilfield Services Limited, Beijing 101149, China;2.Internal Center for Computational Method and Software, College of Physics, Jilin University, Changchun 130012, China;3.School of Electronic Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China)
Abstract:
The analytical expression of triaxial magnetic dipole source in frequency-wavenumber domain was derived based on Maxwell 's equations. Combined with the normalized generalized reflection coefficient, the electromagnetic field in multi-layered uniaxial anisotropic formation is solved. Then the magnetic field component with transmitting-receiving antenna in any direction is obtained by vector superposition. The effects on the measured magnetic field by e.g., borehole conductivity, eccentricity, formation conductivity and other parameters are simulated and analyzed. The results show that the magnetic field intensity from the coplanar transmit-receive antenna is smaller than that of the non-coplanar transmit-receive antenna. The conductivity of borehole has little effects on the magnetic field. The nonlinear relationship between the magnetic field and the formation conductivity is significantly enhanced when the latter is larger than 0.1 S/m. Eccentric azimuth has an obvious effect on the measured magnetic field, and the relationship between the magnetic field and the rotation azimuth is complex when the instrument rotates around itself in an eccentric state.
Key words:  cylindrical layered formation  magnetic dipole  directional logging  ultra-deep detection