Acoustoelastic effects on guided waves in a fluid-filled pressurized borehole in a prestressed formation

This paper investigates acoustoelastic effects on guided waves in a fluid-filled pressurized borehole in a biaxial prestressed formation, and develops a simplified formula that explicitly expresses the dependence of velocity dispersions on the stresses, the third-order elastic constants, and the azimuthal angle of multipole source polarization. The simplified formula shows that only in the flexural wave is there a crossover of the dispersion curves, and this phenomenon does not appear in every other guided wave. In particular, as a transformed result from the simplified expression, the square difference of flexural wave velocity dispersions is only dependent on the difference of the biaxial stresses, and neither the square sum of the flexural dispersions nor the velocity dispersions of the other guided waves is dependent on it. Computational results show that the sensitivity coefficients for the flexural dispersions induced by the biaxial stresses at low frequency asymptotically approach the corresponding...

[1]  Gang Li,et al.  Dipole Flexural Waves Splitting Induced by Borehole Pressurization and Formation Stress Concentration , 2003 .

[2]  B. Sinha,et al.  Dipole dispersion crossover and sonic logs in a limestone reservoir , 2000 .

[3]  Bikash K. Sinha,et al.  Formation nonlinear constants from sonic measurements at two borehole pressures , 1999 .

[4]  T. Plona,et al.  Effects of borehole stress concentrations on dipole anisotropy measurements , 1998 .

[5]  Sergio Kostek,et al.  Stress-induced azimuthal anisotropy in borehole flexural waves , 1996 .

[6]  K. Winkler,et al.  Azimuthal velocity variations caused by borehole stress concentrations , 1996 .

[7]  A. Norris,et al.  Stoneley and flexural modes in pressurized boreholes , 1995 .

[8]  Xingzhou Liu,et al.  Measurements of third‐order elastic constants in rocks , 1995 .

[9]  A. Norris,et al.  Acoustoelasticity of solid/fluid composite systems , 1994 .

[10]  Paul A. Johnson,et al.  Observations of nonlinear elastic wave behavior in sandstone , 1993 .

[11]  P. Johnson,et al.  Finite amplitude wave studies in earth materials. , 1992 .

[12]  F. Paillet,et al.  Acoustic modes of propagation in the borehole and their relationship to rock properties , 1982 .

[13]  B. Sinha.  Elastic waves in crystals under a bias , 1982 .

[14]  D. Bray,et al.  Measurement of acoustoelastic and third-order elastic constants for rail steel , 1976 .

[15]  R. N. Thurston,et al.  Third-Order Elastic Constants and the Velocity of Small Amplitude Elastic Waves in Homogeneously Stressed Media , 1964 .

[16]  R. Toupin,et al.  Sound Waves in Deformed Perfectly Elastic Materials. Acoustoelastic Effect , 1961 .

[17]  D. S. Hughes,et al.  Second-Order Elastic Deformation of Solids , 1953 .

[18]  Q. Liu,et al.  Multipole acoustic waveforms in fluid-filled boreholes in biaxially stressed formations : A finite-difference method , 2000 .

[19]  K. Winkler.  Acoustic evidence of mechanical damage surrounding stressed boreholes , 1997 .

[20]  Andrew L. Kurkjian,et al.  Acoustic multipole sources in fluid-filled boreholes , 1986 .