Analysis of quality factors for Rayleigh channel waves
Yang Xiao-Hui1, Cao Si-Yuan1, Li De-Chun2, Yu Peng-Fei3, and Zhang Hao-Ran1
1. Sate Key Laboratory of Petroleum Resource and Prospecting, China University of Petroleum, Beijing 102249, China
2. School of Resource and Geosciences, China University of Mining And Technology, Xuzhou 221116, China.
3. State Key Laboratory of Marine Geology, Tongji University, Shanghai 200092, China.
Abstract：
To facilitate investigation of the effect of imperfect elastic dissipation on the propagation of Rayleigh-type channel waves and use of their quality factors in investigations of the properties of coal seams, a simple method for calculating the quality factor QR is proposed in this paper. Introduction of complex velocities into the dispersion function allows calculation of the dispersion function of Rayleigh-type channel waves in coal seams. By the control variable method, we analyzed changes in QR with changes in coal seam thickness and P- and S-wave Q-factors within the coal seam and adjacent rock layers. The numerical results show that the trend of the QR curve is consistent with the group velocity curve. The minimum QRvalue occurs at the Airy phase frequency; the Airy phase frequency decreases as coal seam thickness increases. The value of QR increases with increasing QS2 (quality factor for S wave in coal seam). We can compensate for the absorption of Rayleigh-type channel waves using the computed QR curve. Inversion of the QR curve can also be used to predict the thicknesses and lithologies of coal seams.
YANG Xiao-Hui,CAO Si-Yuan,LI De-Chun et al. Analysis of quality factors for Rayleigh channel waves[J]. APPLIED GEOPHYSICS, 2014, 11(1): 107-114.
[1]
Aki, K., and Richards, P. G., 1980, Quantitiative seismology: Theory and methods: W. H. Freeman and Company.
[2]
Anderson, D. L., Ben-Menahem, A., and Archambeau, C. B., 1965, Attenuation of seismic energy in the upper mantle: Journal of Geophysical Research, 70(6), 1441 - 1448.
[3]
Buchanan, D. J., 1978, The propagation of attenuated SH-channel waves: Geophysical Prospecting, 26, 16 - 28.
[4]
Buchanan, D. J., Jackson, P. J., and Davis, R., 1983, Attenuation and anisotropy of channel waves in coal seams: Geophysics, 48(2), 133 - 147.
[5]
Dersen, L., and Rüter, H., 1994. Seismic coal exploration Part B: In-seam seismic. Oxford: Pergamon, 1994.
[6]
Evison, F. F., 1955, A coal seam as a guide for seismic energy: Nature, 176, 1224 - 1225.
[7]
Ewing, W. M., Jardetzky, W. S., Press, F., 1957, Elastic waves in layered media. McGraw-Hill, New York.
[8]
Krey, T., 1963, Channel waves as a tool of applied Geophysics in coal mining: Geophysics, 28(5), 701 - 714.
[9]
Krey, T., Arnetzl, H., and Knecht, M., 1982, Theoretical and practical aspects of absorption in the application of in-seam seismic coal exploration: Geophysics, 47(12), 1645 - 1656
[10]
Kerner, C., and Dresen, L., 1985, The influence of dirt bands and faults on the propagation of Love seam waves: Journal of Geophysics, 57, 77 - 89.
[11]
Li, X. P., Schott, W., and Rüter, H., 1995, Frequency-dependent Q-estimate of Love-type channel waves and the application of Q-correction to seismograms: Geophysics, 60(6), 1773 - 1789.
[12]
Liu, T. F., Cheng, J. L., Pan, D. M., and Li, D. C., 1993, Attenuation of channel wave: Journal of China Coal Society, 18(5), 83 - 86.
[13]
Liu, T. F., Pan, D. M., Li, D. C., and Li, H. S., 1994, In-Seam Seismic exploration: China University of Mining & Technology Press, 15 - 16.
[14]
Minister, J. B., 1980, Anelasticity and attenuation, in Processing of the International School of Physics Enrico Fermi, Physics of the Earth Interior. North-Holland Publishing Company, 152 - 212.
[15]
Räder, D., Schott, W., Dresen, L., and Rüter, H., 1985, Calculation of dispersion curves and amplitude-depth distribution of Love channel waves in horizontally layered media: Geophysical Prospecting, 33, 800- 816.
2014, Vol. 11 
