A Stoneley wave is a boundary wave (or interface wave) that typically propagates along a solid-solid interface.[2] When found at a liquid-solid interface, this wave is also referred to as a Scholte wave.[3] The wave is of maximum intensity at the interface and decreases exponentially away from it. It is named after the British seismologist Dr. Robert Stoneley (1894–1976), a lecturer in the University of Leeds, who discovered it on October 1, 1924.[4]

The motion of the Stoneley wave.[1]

Occurrence and use

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Stoneley waves are most commonly generated during borehole sonic logging and vertical seismic profiling. They propagate along the walls of a fluid-filled borehole. They make up a large part of the low-frequency component of the signal from the seismic source and their attenuation is sensitive to fractures and formation permeability. Recent studies have found that Stoneley wave processing in borehole help to distinguish between fractured versus non-fractured coal seam.[5] Therefore, analysis of Stoneley waves can make it possible to estimate these rock properties. The standard data processing of sonic logs to derive wave velocity and energy content is explained in[6] and.[7]

Comparison to other waves

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A number of wave modes have been predicted based on the fluidity of the medium.[8][9]

Wave Types in Solids Particle Vibrations
Longitudinal Parallel to wave direction
Transverse (Shear) Perpendicular to wave direction
Surface - Rayleigh Elliptical orbit - symmetrical mode
Plate Wave – Lamb Component perpendicular to surface (extensional wave)
Plate Wave – Love Parallel to plane layer, perpendicular to wave direction
Stoneley (Leaky Rayleigh Waves) Wave guided along interface
Sezawa Antisymmetric mode

Effects of permeability

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Permeability can influence Stoneley wave propagation in three ways. Stoneley waves can be partly reflected at sharp impedance contrasts such as fractures, lithology, or borehole diameter changes. Moreover, as formation permeability increases, Stoneley wave velocity decreases, thereby inducing dispersion. The third effect is the attenuation of Stoneley waves.[10]

References

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  1. ^ "Figure F3. Stoneley wave motion (figure after Qobi et al., 2001)".
  2. ^ Sheriff, Robert E. (2002). Encyclopedic Dictionary of Applied Geophysics. Society of Exploration Geophysicists. ISBN 978-1-56080-118-4.
  3. ^ http://downloads.hindawi.com/journals/jam/2012/313207.pdf Rayleigh's, Stoneley's, and Scholte's Interface Waves in Elastic Models Using a Boundary Element Method, Esteban Flores-Mendez,Manuel Carbajal-Romero, Norberto Flores-Guzmán, Ricardo Sánchez-Martínez and Alejandro Rodríguez-Castellanos
  4. ^ Stoneley, R. (October 1, 1924). "Elastic waves at the surface of separation of two solids". Proc. R. Soc. Lond. A. 106 (738): 416–428. Bibcode:1924RSPSA.106..416S. doi:10.1098/rspa.1924.0079.
  5. ^ Banerjee, A & Chatterjee, R (2021), Fracture analysis using Stoneley wave in a coalbed methane reservoir. Near Surface Geophysics, https://doi.org/10.1002/nsg.12176
  6. ^ http://www.slb.com/~/media/Files/resources/oilfield_review/ors06/spr06/03_borehole_acoustic_waves.pdf Archived 2016-03-04 at the Wayback Machine Schlumberger Oilfield Glossary – Borehole Acoustic Waves
  7. ^ "Introduction".
  8. ^ "Modes of Sound Wave Propagation". Archived from the original on 2014-02-16. Retrieved 2012-05-02.
  9. ^ Kubotera, A. (1957). "Rayleigh and Sezawa waves generated by explosions". Journal of Physics of the Earth. 5 (1): 33–41. doi:10.4294/jpe1952.5.33.
  10. ^ "Method: Aquistion and Processing of Acoustic Waves in Boreholes".