A three-dimensional finite difference simulation of sonic logging

Journal of the Acoustical Society of America

Volumn 100, Issue 1, 1996, Pages 72-79

  Liu, Qing Huo ^a,b   Schoen, Eric ^a   Daube, François ^a   Randall, Curt ^a   Liu, Hsui Lin ^a   Lee, Ping ^a  

^a SCHLUMBERGER   (United States)

^b New Mexico State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PRIORITY JOURNAL; SOUND; WAVEFORM;

EID: 0030061192     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.415869     Document Type: Article

References (19)

1. M. A. Biot, "Propagation of elastic waves in a cylindrical bore containing a fluid," J. Appl. Phys. 23, 997-1005 (1952).
2. L. Tsang and D. Rader, "Numerical evaluation of transient acoustic waveforms due to a point source in a fluid-filled borehole," Geophysics 44, 1706-1720 (1979).
3. A. L. Kurkjian and S.-K. Chang, "Acoustic multipole sources in fluid-filled boreholes," Geophysics 51, 148-163 (1986).
4. C.-C. Lu and Q.-H. Liu, "A three-dimensional dyadic Green's function for elastic waves in multilayer cylindrical structures," J. Acoust. Soc. Am. 98, 2825-2835 (1995).
5. A. L. Kurkjian, "Numerical computation of individual far-field arrivals excited by an acoustic source in a borehole," Geophysics 50, 852-866 (1985).
6. Q.-H. Liu and C. Chang, "Compressional head waves in attenuative formations," Proc. 64th Annual Meeting of Soc. Explor. Geophys., 12-15 (1994).
7. L. Tsang, "Transient acoustic waves in a fluid-filled borehole with a horizontal bed boundary separating two solid formations," J. Acoust. Soc. Am. 81, 844-853 (1986).
8. R. A. Stephen, F. Cardo-Casas, and C. H. Cheng, "Finite-difference synthetic acoustic logs," Geophysics 50, 1588-1609 (1985).
9. C. J. Randall, D. J. Scheibner, and P. T. Wu, "Multipole borehole acoustic waveforms: Synthetic logs with beds and borehole washouts," Geophysics 56, 1757-1769 (1991).
10. H. D. Leslie and C. J. Randall, "Multipole sources in boreholes penetrating anisotropic formations: Numerical and experimental results," J. Acoust. Soc. Am. 91, 12-27 (1992).
11. C. J. Randall, "Multipole acoustic waveforms in nonaxisymmetric boreholes and formations," J. Acoust. Soc. Am. 90, 1620-1631 (1991).
12. F. Daube and C. Randall, "3-D elastic wave propagation on the connection machine," SLCS Research Report, Number TR/C-91-07 (released for public reference) (1991).
13. A. Track, F. Daube, and M. Oristaglio, "3-D cross-well simulation and applications," Proc. 62nd Annual Meeting of Soc. Explor. Geophys., 75-78 (1992).
14. K. H. Yoon and G. A. McMechan, "3-D finite-difference modelling of elastic waves in borehole environments," Geophysics 57, 793-804.
15. Q.-H. Liu, E. Schoen, F. Daube, C. Randall, H.-L. Liu, and P. Lee, "Large-scale 3D finite-difference simulation of elastic wave propagation in borehole environments," J. Acoust. Soc. Am. 96, 3337(A) (1994).
16. N. Cheng, C. H. Cheng, and M. N. Toksöz, "Borehole wave propagation in three-dimension," J. Acoust. Soc. Am. 97, 3483-3493 (1995).
17. Z. P. Liao, H. L. Wong, B. P. Yang, and Y. F. Yuan, "A transmitting boundary for transient wave analysis," Sci. Sin. A 27, 1063-1076 (1984).
18. C. J. Randall, "Absorbing boundary condition for the elastic wave equation: Velocity-stress formulation," Geophysics 54, 1141-1152 (1989).
19. S. W. Lang, A. L. Kurkjian, J. H. McClellan, C. F. Morris, and T. W. Parks, "Estimating slowness dispersions from arrays of sonic logging waveforms," Geophysics 52, 530-544 (1987).