Intersection Waves: INTERSECTION WAVES
Abstract
Intersections in a fracture network control the connectivity of the flow paths through rock. The long near-linear geometric nature of fractures makes them difficult to identify and characterize. We present a new type of elastic wave, an intersection wave, which travels along an intersection and is sensitive to the coupling between two orthogonal fractures that define the intersection. Group theory for C2v and C4v point groups predicts sets of propagating elastic waves confined to the fracture intersection. Along with the use of the wave equation and displacement discontinuity boundary conditions, the dispersion relationships for intersection waves are predicted. Experimental ultrasonic measurements on a nonwelded linear intersection between two orthogonal, synthetic fractures in aluminum confirm the existence of multiple modes that travel between the speed of wedge waves (sub-Rayleigh waves) when the intersection is completely, and bulk shear waves, when the intersection is closed, as predicted by theory. Between these two limits, the intersection behaves as a nonwelded contact and yields these new intersection waves that are dispersive and sensitive to the coupling along the intersection. Intersection waves provide the foundation for new geophysical approaches for characterizing the hydraulic connectivity of fracture networks.
- Authors:
-
- Purdue Univ., West Lafayette, IN (United States)
- Publication Date:
- Research Org.:
- Purdue Univ., West Lafayette, IN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1537314
- Grant/Contract Number:
- SC0001048
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Geophysical Research. Solid Earth
- Additional Journal Information:
- Journal Volume: 122; Journal Issue: 10; Journal ID: ISSN 2169-9313
- Publisher:
- American Geophysical Union
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; Geochemistry & Geophysics
Citation Formats
Abell, B. C., Nolte, D. D., and Pyrak-Nolte, L. J. Intersection Waves: INTERSECTION WAVES. United States: N. p., 2017.
Web. doi:10.1002/2017jb014289.
Abell, B. C., Nolte, D. D., & Pyrak-Nolte, L. J. Intersection Waves: INTERSECTION WAVES. United States. doi:10.1002/2017jb014289.
Abell, B. C., Nolte, D. D., and Pyrak-Nolte, L. J. Mon .
"Intersection Waves: INTERSECTION WAVES". United States. doi:10.1002/2017jb014289. https://www.osti.gov/servlets/purl/1537314.
@article{osti_1537314,
title = {Intersection Waves: INTERSECTION WAVES},
author = {Abell, B. C. and Nolte, D. D. and Pyrak-Nolte, L. J.},
abstractNote = {Intersections in a fracture network control the connectivity of the flow paths through rock. The long near-linear geometric nature of fractures makes them difficult to identify and characterize. We present a new type of elastic wave, an intersection wave, which travels along an intersection and is sensitive to the coupling between two orthogonal fractures that define the intersection. Group theory for C2v and C4v point groups predicts sets of propagating elastic waves confined to the fracture intersection. Along with the use of the wave equation and displacement discontinuity boundary conditions, the dispersion relationships for intersection waves are predicted. Experimental ultrasonic measurements on a nonwelded linear intersection between two orthogonal, synthetic fractures in aluminum confirm the existence of multiple modes that travel between the speed of wedge waves (sub-Rayleigh waves) when the intersection is completely, and bulk shear waves, when the intersection is closed, as predicted by theory. Between these two limits, the intersection behaves as a nonwelded contact and yields these new intersection waves that are dispersive and sensitive to the coupling along the intersection. Intersection waves provide the foundation for new geophysical approaches for characterizing the hydraulic connectivity of fracture networks.},
doi = {10.1002/2017jb014289},
journal = {Journal of Geophysical Research. Solid Earth},
number = 10,
volume = 122,
place = {United States},
year = {2017},
month = {8}
}
Web of Science
Works referenced in this record:
Poisson's ratio values for rocks
journal, January 2007
- Gercek, H.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 44, Issue 1
Nonlinear interaction of plane ultrasonic waves with an interface between rough surfaces in contact
journal, January 2003
- Pecorari, Claudio
- The Journal of the Acoustical Society of America, Vol. 113, Issue 6
Frequency dependence of fracture stiffness
journal, February 1992
- Pyrak-Nolte, Laura J.; Nolte, David D.
- Geophysical Research Letters, Vol. 19, Issue 3
Anisotropy in seismic velocities and amplitudes from multiple parallel fractures
journal, January 1990
- Pyrak-Nolte, Laura J.; Myer, Larry R.; Cook, Neville G. W.
- Journal of Geophysical Research, Vol. 95, Issue B7
Effective elasticity of rocks with closely spaced and intersecting cracks
journal, May 2006
- Grechka, Vladimir; Kachanov, Mark
- GEOPHYSICS, Vol. 71, Issue 3
A theoretical model for the attenuation and dispersion of stoneley waves at the loosely bonded interface of elastic half spaces
journal, September 1975
- Murty, G. S.
- Physics of the Earth and Planetary Interiors, Vol. 11, Issue 1
Acoustic waves guided by the intersection of a surface and an interface of two elastic media
journal, March 2012
- Sokolova, Elena S.; Kovalev, Alexander S.; Maznev, Alexei A.
- Wave Motion, Vol. 49, Issue 2
Elastic wave behavior across linear slip interfaces
journal, November 1980
- Schoenberg, Michael
- The Journal of the Acoustical Society of America, Vol. 68, Issue 5
Wave Propagation in Isotropic Media with Two Orthogonal Fracture Sets
journal, September 2016
- Shao, S.; Pyrak-Nolte, L. J.
- Rock Mechanics and Rock Engineering, Vol. 49, Issue 10
Elastic wave propagation along a set of parallel fractures: WAVE PROPAGATION ALONG FRACTURES
journal, August 2002
- Nakagawa, Seiji; Nihei, Kurt T.; Myer, Larry R.
- Geophysical Research Letters, Vol. 29, Issue 16
Slip distributions on intersecting normal faults
journal, March 1999
- Maerten, Laurent; Willemse, Emanuel J. M.; Pollard, David D.
- Journal of Structural Geology, Vol. 21, Issue 3
Vibrational Edge Modes in Finite Crystals
journal, August 1972
- Maradudin, A. A.; Wallis, R. F.; Mills, D. L.
- Physical Review B, Vol. 6, Issue 4
Fracture network versus single fractures: Measurement of fracture geometry with X-ray tomography
journal, January 1999
- Montemagno, C. D.; Pyrak-Nolte, L. J.
- Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy, Vol. 24, Issue 7
Orthogonal cross joints: do they imply a regional stress rotation?
journal, January 2002
- Bai, Taixu; Maerten, Laurent; Gross, Michael R.
- Journal of Structural Geology, Vol. 24, Issue 1
Characterizing block geometry in jointed rockmasses
journal, December 2006
- Kalenchuk, Katherine S.; Diederichs, Mark S.; McKinnon, Steve
- International Journal of Rock Mechanics and Mining Sciences, Vol. 43, Issue 8
On elastic waves in a wedge
journal, May 2011
- Zavorokhin, G. L.; Nazarov, A. I.
- Journal of Mathematical Sciences, Vol. 175, Issue 6
Vibrational Edge Modes for Wedges with Arbitrary Interior Angles
journal, September 1973
- Moss, S. L.; Maradudin, A. A.; Cunningham, S. L.
- Physical Review B, Vol. 8, Issue 6
Coupled wedge waves
journal, November 2013
- Abell, Bradley C.; Pyrak-Nolte, Laura J.
- The Journal of the Acoustical Society of America, Vol. 134, Issue 5
Elastic interface waves along a fracture
journal, November 1987
- Pyrak-Nolte, Laura J.; Cook, Neville G. W.
- Geophysical Research Letters, Vol. 14, Issue 11
Fracture interface waves
journal, January 1996
- Gu, Boliang; Nihei, Kurt T.; Myer, Larry R.
- Journal of Geophysical Research: Solid Earth, Vol. 101, Issue B1
A field investigation of fracture compliance
journal, May 2006
- Lubbe, R.; Worthington, M. H.
- Geophysical Prospecting, Vol. 54, Issue 3
Fracture channel waves
journal, March 1999
- Nihei, Kurt T.; Yi, Weidong; Myer, Larry R.
- Journal of Geophysical Research: Solid Earth, Vol. 104, Issue B3
Transmission of seismic waves across single natural fractures
journal, January 1990
- Pyrak-Nolte, Laura J.; Myer, Larry R.; Cook, Neville G. W.
- Journal of Geophysical Research, Vol. 95, Issue B6
Compressional waves guided between parallel fractures
journal, September 2001
- Xian, Changjiu; Nolte, D. D.; Pyrak-Nolte, L. J.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 38, Issue 6
A simple analysis of intersecting cracks and cracks intersecting a hole
journal, July 1989
- Kachanov, M.; Montagut, E.
- International Journal of Fracture, Vol. 40, Issue 3
Poroelastic modeling of seismic boundary conditions across a fracture
journal, August 2007
- Nakagawa, Seiji; Schoenberg, Michael A.
- The Journal of the Acoustical Society of America, Vol. 122, Issue 2