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《Chinese Journal of Geophysics》 2009-07
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The low-frequency asymptotic velocity of pseudo-Rayleigh,flexural,and screw waves in a transversely isotropic formation

HU Heng-Shan,HE XiaoDepartment of Astronautics and Mechanics,Harbin Institute of Technology,Harbin 150001,China  
Acoustic multipole logs have been widely used in the in-situ measurement of formation shear velocity.Previous studies have shown that velocities of the pseudo-Rayleigh,the flexural, and the screw modes equal the shear velocity at low frequency limits in isotropic formations.This conclusion has been taken for granted in anisotropic cases without strict proof.In the present study,we investigate the properties of modes generated by multipole sources in a fluid-filled borehole embedded in a transversely isotropic (TI) medium.Based on Snell' s law, the transmission and the reflection on the borehole wall are discussed.The upper limit of a guided wave velocity is found to be dependent on Thomsen's anisotropic parameters.The velocities of guided waves do not tend to the shear velocity in the borehole direction in TI formations whose parameters satisfy a certain condition.The computation results for dispersion curves and synthetic full waves further confirm that in those formations the shear velocity can never be obtained accurately from the arrival time of the flexural or the screw wave.
【Fund】: 国家自然科学基金(40874062);; 哈尔滨工业大学自然科学研究创新基金(HIT.NSRIF.2008.61)资助.
【CateGory Index】: P631.4
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