Abstract
Traditional AVO forward modeling only considers the impact of reflection coefficients at the interface on seismic wave field amplitude and ignores various propagation effects. Introducing wave propagation effects including geometric spreading, transmission loss, attenuation into seismic wave propagation, multi-wave amplitude-preserved AVO forward modeling for horizontally layered media based on ray theory is proposed in this paper. We derived the multi-wave geometric spreading correction formulas for horizontally layered media in order to describe the geometric spreading effect of multi-wave propagation. Introducing the complex traveltime directly, we built the relationship between complex traveltime and quality factor without the help of complex velocity to describe the attenuation of viscoelastic media. Multi-wave transmission coefficients, obtained by solving the Zoeppritz equations directly, is used to describe the transmission loss. Numerical results show that the effects of geometric spreading, attenuation, and transmission loss on multi-wave amplitude varies with offset and multi-wave amplitude-preserved AVO forward modeling should consider the reconstructive effect of wave propagation on reflection amplitude.
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References
Aki, K., and Richards, P.G., 1980, Quantitative seismology: Theory and methods, Vol. 1: W.H. Freeman & Co., San Francisco, CA.
Bleistein, N., Cohen, J. K. and Stockwell, J. W., 2001, Mathematical methods of Seismic imaging, migration and inversion: Springer-Verlag, New York.
Castagna J. P., Swan, H. W., and Foster, D. J., 1998, Framework for AVO gradient and intercept interpretation: Geophysics, 63(3), 948–956.
Castagna, J. P., and Swan, H. W., 1997, Principles of AVO cross plotting: The Leading Edge, 16, 337–342.
Cerveny, V., and Hron, F., 1980, The ray series method and dynamic ray tracing system for three-dimensional inhomogeneous media: Bull.Seis, Soc. Am., 70, 47–77.
Cerveny, V., and Ravindra, R., 1971, Theory of seismic head waves: Univ. of Toronto Press, Canada.
Cerveny, V., Molotkov, I. A., and Psencik, I., 1977, Ray method in seismology: Charles University, Prague.
Che, C. X., Wang, X. M., and Lin, W. J., 2010, The Chebyshev spectral element method using staggered predictor and corrector for elastic wave simulations, Applied Geophysics, 7(2), 174–184.
Chen, T. S., Liu, Y., and Wei, X. C., 2006, Joint amplitude versus off set inversion of P-P and P-SV seismic data: Journal of China University of Petroleum, 30(1), 33–37.
Foster, D. J., Keys, R. G., and Lane, F.D., 2010, Interpretation of AVO anomalies: Geophysics, 75(5), 75A3–75A13.
Fuchs, K., and Muller, G., 1971, Computation of synthetic seismograms with the refl ectivity method and comparison with observations: Geophysical Journal Royal Astronomical Society, 23, 417–433.
Gidlow, P. M., Smith, G. C., and Vail, P. J., 1992, Hydrocarbon detection using fluid factor traces: Joint SEG / EAGE Summer Research Workshop, Technical Program and Abstracts, 78–89.
Hearn, D. J., and Krebest, E. S., 1990, On computing ray-synthetic seismograms for an elastic media using complex rays: Geophysics, 55(4), 422–432.
Hron, F., and Nechtschein, S., 1996, Extension of asymptotic ray theory to linear viscoelastic media: 66th Annual International Meeting, SEG, Expanded Abstracts, 1983–1986.
Hron, F., May, B. T., Covey, J. D., and Daley, P. F., 1986, Synthetic seismic sections for acoustic, elastic, anisotropic, and vertically inhomogeneous layered media: Geophysics, 51(3), 710–735.
Kennett, B. L. N., 1983, Seismic wave propagation in stratified media: New York, Cambridge University Press, London.
Koefoed, O., 1955, On the effect of Poisson’s ratios of rock strata on the refl ection coefficients of plane waves: Geophysical Prospecting, 3, 381–387.
Lu, J. and Wang Y., 2010, Seismic wave propagation in Kelvin visco-elastic VTI media, Applied Geophysics, 7(4), 357–364.
Mallick, S., and Frazer, L. N., 1987, Practical aspects of reflectivity modeling: Geophysics, 52(10), 1355–1364.
Muller, G., 1985, The reflectivity method: a tutorial: Journal of Geophysics, 58, 153–174.
Ostrander, W. J., 1984, Plane wave reflection coefficients for gas sands at nonnormal angles of incidence: Geophysics, 49, 1637–l 648.
Rutherford, S. R., and Williams, R. H., 1989, Amplitudeversusoffset variations in gas sands: Geophysics, 54(6), 680–688.
Shuey, R. T., 1985, A simplification of the Zoeppritz equations: Geophysics, 50, 609–614.
Wei, X. C., Chen, T. S., and Ji, Y. X., 2008, Converted wave AVO inversion for average velocity ratio and shear wave refl ection coefficient: 78th Annual International Meeting, SEG, Expanded Abstracts, 269–273.
Yang, P. J., Mu, X., and Yin, X. Y., 2009, Prestack threeterm simultaneous inversion method and its application: Acta Petrolei Sinica, 30(2), 232–236.
Yan, Z., and Gu, H. M., 2010, Application of quantumbehaved particle swarm optimization algorithm in AVO inversion: Oil Geophysical Prospecting, 45(4), 516–519.
Zhang, F. C., and Yin, X. Y., 2004, A full wave field forward modeling and inversion method for prestack seismogram: Oil Geophysical Prospectin, 43(3), 217–222.
Zhang, F. C., and Yin, X. Y., 2005, Elastic equation inversion of seismic data in layered half-space: Oil Geophysical Prospecting, 40(5), 523–529.
Zoeppritz K. 1919, On the reflection and penetration of seismic waves through unstable layers. Goettinger Nachr, I, 66–84.
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This research work is sponsored by the National Natural Science Foundation of China (Grant No. 41074098) and the National Basic Research Program of China (973 Program) (Grant No. 2007CB209606).
Hou Bo is a doctorate student at China University of Petroleum (Beijing). His major is geophysical prospecting and his research work is mainly seismic wave propagation, imaging, and pre-stack seismic inversion.
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Hou, B., Chen, XH., Li, JY. et al. Multi-wave amplitude-preserved AVO modeling considering wave propagation effects. Appl. Geophys. 8, 207–216 (2011). https://doi.org/10.1007/s11770-011-0292-2
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DOI: https://doi.org/10.1007/s11770-011-0292-2