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| Simulating multi-component induction logging tool 's calibration by vector eigenfunction expansion formulae for dyadic Green 's functions |
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WEI Baojun1,2, WANG Chengyuan1, YU Yanming3, CHANG Xinli1
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(1.College of Science in China University of Petroleum, Qingdao 266580, China;2.Key Laboratory of New Energy Physics & Material Science in Universities of Shandong, China University of Petroleum, Qingdao 266580, China;3.Logging Technique Research Institute of Great Wall Drilling Company in China National Petroleum Corporation, Beijing 102206, China)
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| Abstract: |
| The multi-component induction logging tool 's calibration was simulated based on the vector eigenfunction expansion formulae for dyadic Green 's functions of radial-layered medium in cylindrical coordinate system, in which the influence of the metal mandrel was considered. The shape of each component 's coils was taken into account in order to increase the computational precision. The metal mandrel was taken as a layer of medium and whose conductivity was set both finite and infinite. The results show that the relationship between the calibrated electromotive force of the same coil group and the axial coordinate of the calibration loop 's center is exactly the same, no matter whether the metal mandrel exists or not; on the other hand, the intensity of both the real part and imaginary part of the calibrated electromotive force will decrease when the metal mandrel is considered. The relationship between the calibrated electromotive force and the axial coordinate of the calibration loop 's center varies for different components or different receiver arrays. The maximum value of the calibrated electromotive force will become smaller and the corresponding position of the calibration loop 's center will become more distant when the receiver array is further far away from the transmitter coil. |
| Key words: multi-component induction logging metal mandrel dyadic Greens functions vector eigenfunction calibration |
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