The problem of monitoring the position of the boundary of a hydrocarbon collector as a source approaches, is discussed. Day surface seismograms are analyzed. Specific properties of the anomalous S* wave are used. The case of a porous medium inside a reservoir is also considered. Bibliography: 24 titles.
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References
J. N. Albright, C. F. Pearson, and M. C. Fehle, “Transmission of acoustic signals through hydraulic fractures,” in: SPWLA Twenty-First Annual Logging Symposium (1980), pp. 1–18.
L. Aleotti and Miranda et al., “Seisbit-latest applications of seismic while drilling technology,” in: EAGE 57th Conference and Technical Exhibition, Glasgow, Scotland (1995).
V. M. Babich and A. P. Kiselev, “Non-geometrical waves are there any? An asymptotic description of some “non-geometrical” phenomena in seismic wave propagation,” Geophys. J. Int., 99, 4150–420 (1980).
H. Bateman and A. Erdelyi, Tables of Integral Transforms, Vol. 1, Mcgraw-Hill book Company, N-Y (1954).
L. M. Brekhovskikh, Waves in Layered Media, Academic Press, New York (1980).
P. F. Daley and F. Hron, “Nongeometric arrivals due to highly concentrated sources adjacent to plane interfaces,” Bull. Seism. Soc. Amer., 73, No. 6, 1655–1671 (1983).
P. R. Gutowski, F. Hron, D. E. Wagner, and S. Treitel, S*, Amoko Technical Report, F82-E-8, Tulsa, Oklahoma (1982).
J. Groenenboom and J. T. Fokkema, “Monitoring the width of hydraulic fractures with acoustic waves,” Geophysics, 63, No. 1, 139–148 (1998).
B. Gu, R. Suarez-Rivera, K. T. Nihei, and L. R. Myer, “Incidence of plane waves upon a fracture,” J. Geophys. Res., 101, 25337–25346 (1996).
A. C. Johnston, “Air blast recognition and location using regional seismographic networks,” Bull. Seism. Soc. Amer., 77, No. 4, 1446–1456 (1987).
J. Y. Kim and J. Behrens, “Experimental evidence of S* wave,” Geophysical Prospecting, 34, 100–108 (1986).
P. V. Krauklis and L. A. Krauklis, “Waves in media with weak boundaries,” Zap. Nauchn. Semin. LOMI, 18, 113–122 (1988).
P. V. Krauklis and V. P. Krauklis, “Nonray phenomena in media with a source situated near the boundary,” Zap. Nauchn. Semin. LOMI, 26, 245–251 (1986).
P. V. Krauklis and V. P. Krauklis, “Wave reflection and refraction on the weak boundary,” Zap. Nauchn. Semin. LOMI, 30, 96–103 (1990).
L. A. Molotkov, “On sources of the center of compression type in isotropic and transversally isotropic media,” Zap. Nauchn. Semin. LOMI, 25, 76–85 (1986).
L. A. Molotkov, Investigation of Wave Propagation in Porous and Fractured Media on the Basis of Biot Effective Models and Layered Media [in Russian], Nauka, St. Petersburg (2001).
G. I. Petrashen, L. A. Molotkov, and P. V. Krauklis, Waves in Layered Isotropic Elastic Media [in Russian], Nauka, St. Petersburg (1985).
L. J. Pyrak-Nolte, L. R. Muer, and N. G. W Cook, “Transmission of seismic waves across single natural fractures,” J. Geophys. Res., 95, 8617–8636 (1990).
L. J. Pyrak-Nolte and R. Sanjit, “Monitoring fracture evolution with compressional-mode interface waves,” Geophys. Res. Lett., 27, 3397–3400 (2000).
J. W. III Rector and B. A. Hartage, “Radiation pattern and seismic waves generated by a working roller-cone drill bit,” Geophysics, 57, 1319–1333 (1992).
J. W. III Rector and B. P. Marion, “The use of drill-bit energy as a downhole seismic source,” Geophysics, 56, 628–634 (1991).
S. I. Rokhlin and Y. J. Wang, “Analysis of boundary conditions for elastic wave interaction with an interface between two solids,” J. Acoust. Soc. Amer., 89, 503–515 (1991).
C. Salvado and J. B. Minster, “Slipping interfaces: a possible source of S radiation from explosive sources,” Bull. Seism. Soc. Amer., 70, 659–670 (1980).
Y. J. Wang and S. I. Rokhlin, “On transition between slip and rigid boundary conditions between two solids,” J. Acoust. Soc. Amer., 186, S93 (1989).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 369, 2009, pp. 64–94.
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Krauklis, A.P., Krauklis, P. & Molotkov, A. On the problem of monitoring hydrocarbon reservoirs during production. J Math Sci 167, 632–650 (2010). https://doi.org/10.1007/s10958-010-9950-9
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DOI: https://doi.org/10.1007/s10958-010-9950-9