Abstract
The synthetic seismograms for the fractures in Chap. 3 suggest that the fractures are also reflection generators for reflecting waves propagating in the media. Consequently, the recorded surface seismic data inevitably contain fracture reflections when the acquisition reservoir contains fractures. In this chapter, we derived new PP- and PS-wave reflection and transmission coefficient equations based on the principle of nonwelded boundary conditions. The new AVO equations for the horizontally fractured medium with impedance contrast are finally presented. In the new AVO equations, the reflection coefficients are divided into a welded contact part (a conventional impedance contrast part) and a nonwelded contact part (the fracture part) which makes them flexible for truly inverting for the rock properties of the fractured medium with impedance contrast.
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References
Aki, K., & Richards, P. G. (1980). Quantitative seismology: Theory and methods (Vol. 1). W.H. Freeman and Company.
Alford, R. M. (1986). Shear data in the presence of azimuthal anisotropy. Dilley, Texas. 56th SEG Annual Meeting, Expanded Abstracts, 86, S9.6, pp. 476–479.
Bale, R. A., Li, J., Mattocks, B., & Ronen, S. (2005). Robust estimation of fracture directions from 3-D converted waves. 75th SEG Annual Meeting, Expanded Abstracts, pp. 889–892.
Chaisri, S. (2002). A study of a nonwelded contact interface: Exact and approximate formulas for P-SV reflection and transmission coefficients, and frequency domain raytracing (Ph.D. thesis, The University of Calgary).
Chaisri, S., & Krebes, E. S. (2000). Exact and approximate formulas for P-SV reflection and transmission coefficients for a nonwelded contact interface. Journal Geophysical Research, 105, 28045–28054.
Choo, J., Downton, J., & Dewar, J. (2004). A new and practical approach to noise and multiple attenuation. 2004 CSEG National Convention.
Choo, J., Sudhakar, V. (2003). LIFT: A new seismic processing technique to LIFT noise and multiples. CSEG/CSPG Joint National Convention. Ecker, C., Dvorkin, J., & Nur, A. (1998). Sediments with gas hydrates: Internal structure from seismic AVO. Geophysics, 565–573.
Crampin, S. (1985). Evidence for aligned cracks in the Earth’s crust. First Break, 3(3), 12–15.
Downton, J., Roure, B., & Hunt, L. (2011). Azimuthal Fourier coefficients. CSEG Recorder, 36(10), 22–36.
Fang, K., & Brown, R. J. (1996). A new algorithm for the rotation of horizontal components of shear-wave seismic data (Vol. 8). CREWES Research Report.
Fatti, J. L., Smith, G. C., Vail, P. J., Strauss, P. J., & Levitt, P. R. (1994). Detection of gas in sandstone reservoirs using AVO analysis: A 3-D seismic case history using the Geostack technique. Geophysics, 59, 1362–1376.
Gardner, G. H. F., Gardner, L. W., & Gregory, A. R. (1974). Formation velocity and density—The diagnostic basics for stratigraphic traps. Geophysics, 39, 770–780.
Garotta, R., & Granger, P. Y. (1988). Acquisition and processing of 3C × 3-D data using converted waves. 58th SEG Annual Meeting, Session S13.2.
Krebes, E. S. (2006). Seismic theory and methods, course notes. Calgary: The University of Calgary.
Lines, L. R., & Newrick, R. T. (2004). Fundamentals of geophysical interpretation. Tulsa, Oklahoma: Society of Exploration Geophysicists Publication.
Lines, L. R., & Treitel, S. (1984). Tutorial: A review of least-squares inversion and its application to geophysical problems. Geophysical Prospecting, 32, 159–186.
Margrave, G. F. (2006). Methods of seismic data processing: Geophysics 557 course notes. Calgary: University of Calgary.
Marrett, R., Laubach, S. E., & Olson, J. E. (2007). Anisotropy and beyond: Geologic perspectives on geophysical prospecting for natural fractures. The Leading Edge, 26(9), 1106–1111. Reprinted in Fractured reservoirs: A compendium of influential papers, 2008, AAPG.
Ruger, A. (2002). Reflection coefficients and azimuthal AVO analysis in anisotropic media. SEG geophysical monograph series number 10. Society of Exploration Geophysicists.
Shuey, R. T. (1985). A simplification of the Zoeppritz equations. Geophysics, 50, 609–614.
Smith, G. C., & Gidlow, P. M. (1987). Weighted stacking for rock property estimation and detection of gas. Geophysical Prospecting, 35, 993–1014.
Stewart, R. R., Gaiser, J. E., Brown, R. J., & Lawton, D. C. (2002). Converted-wave seismic exploration: Methods. Geophysics, 67(5), 1348–1363.
Stewart, R. R., Gaiser, J. E., Brown, R. J., & Lawton, D. C. (2003). Converted-wave seismic exploration: Applications. Geophysics, 68(1), 40–57.
Yilmaz, O. (1991). Seismic data processing. Society of Exploration Geophysicists (Fifth printing).
Zoeppritz, K. (1919). Erdbebenwellen VIIIB, On the reflection and propagation of seismic waves. Göttinger Nachrichten, I, 66.
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Cui, X., Lines, L., Krebes, E.S., Peng, S. (2018). Fractured Medium AVO Inversion. In: Seismic Forward Modeling of Fractures and Fractured Medium Inversion. Springer Geophysics. Springer, Singapore. https://doi.org/10.1007/978-981-10-3584-5_4
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