Technical Paper
Dec 14, 2015

Contact Algorithm for Determining Aperture Evolution of Rock Fracture during Shearing

Publication: International Journal of Geomechanics
Volume 16, Issue 3

Abstract

A contact algorithm to determine the aperture evolution of a rock fracture during shearing is reported. The algorithm was based on a theoretical normal closure model and semianalytical dilation model and required only the three-dimensional topography data of the two fracture surfaces at the initial stage before shearing. It allowed the prediction of the aperture distribution of a fracture under normal stress and various shear displacements, which is difficult to observe in coupled shear-flow tests. To ensure the precision of the surface topography data, a laser-scanning profilometer system was used for surface topography measurement. The contact algorithm was then used to predict the aperture evolution of a marble fracture during shearing. The results of aperture variation under normal stress and shear displacement were analyzed and compared with an equivalent aperture derived from back-calculation of flow test results. The results indicated that the contact algorithm is efficient in predicting aperture evolution.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This research was supported by research grants from the National Natural Science Foundation of China (51278378, 41272321, and 41327001), the Major State Basic Research Development Program of China (973 Program, 2011CB013800), and the Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT, IRT1029).

References

Auradou, H., Drazer, G., Boschan, A., Hulin, J. P., and Koplik, J. (2006). “Flow channeling in a single fracture induced by shear displacement.” Geothermics, 35(5-6), 576–588.
Bandis, S., Lumsden, A. C., and Barton, N. R. (1983). “Fundamentals of rock joint deformation.” Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 20(6), 249–268.
Barton, N., and Bandis, S. (1982). “Effects of block size on the shear behaviour of jointed rock.” Keynote Lecture, 23rd U.S. Symp. on Rock Mechanics, American Rock Mechanics Association, Alexandria, VA, 739–760.
Barton, N., Bandis, S., and Bakhtar, K. (1985). “Strength, deformation and conductivity coupling of rock joints.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 22(3), 121–140.
Barton, N., and Choubey, V. (1977). “The shear strength of rock joints in theory and practice.” Rock Mech., 10(1), 1–54.
Brown, S. R., and Scholz, C. H. (1985). “Closure of random elastic surfaces in contact.” J. Geophys. Res., 90(B7), 5531–5545.
Durham, W. B., and Bonner, B. P. (1994). “Self-propping and fluid flow in slightly offset joints at high effective pressures.” J. Geophys. Res., 99(B5), 9391–9399.
Gentier, S., Billaux, D., and van Vliet, L., (1989). “Laboratory testing of the voids of a fracture.” Rock Mech. Rock Eng., 22(2), 149–157.
Gentier, S., Lamontagne, E., Archambault, G., and Riss, J. (1997). “Anisotropy of flow in fracture undergoing shear and its relationship to the direction of shearing and injection pressure.” Int. J. Rock Mech. Min. Sci., 34(3–4), 94.e1–94.12.
Gentier, S. S., and Hopkins, D. L. (1997). “Mapping fracture aperture as a function of normal stress using a combination of casting, image analysis and modeling techniques.” Int. J. Rock Mech. Min. Sci., 34(3–4), 132.e1–132.e14.
Goodman, R. E. (1976). Methods of geological engineering in discontinuous rocks, West Publishing, New York.
Greenwood, J. A., and Tripp, J. H. (1970). “The contact of two nominally flat rough surfaces.” Proc. Inst. Mech. Eng., 185(1), 625–633.
Greenwood, J. A., and Williamson, J. B. P. (1966). “Contact of nominally flat surfaces.” Proc. R. Soc. Lond. A Math. Phys. Sci., 295(1442), 300–319.
Hakami, E., and Larsson, E. (1996). “Aperture measurements and flow experiments on a single natural fracture.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 33(4), 395–404.
Kostakis, K., Harrison, J. P., and Heath, S. M. (2003). “Silicone rubber castings for aperture measurement of rock fractures.” Int. J. Rock Mech. Min. Sci., 40(6), 939–945.
Lanaro, F. (2000). “A random field model for surface roughness and aperture of rock fractures.” Int. J. Rock Mech. Min. Sci., 37(8), 1195–1210.
MATLAB [Computer software]. MathWorks, Natick, MA.
Park, J. W., and Song, J. J. (2013). “Numerical method for the determination of contact areas of a rock joint under normal and shear loads.” Int. J. Rock Mech. Min. Sci., 58, 8–22.
PFC [Computer software]. Itasca Consulting Group, Minneapolis, MN.
Pyrak-Nolte, L. J., and Morris, J. P. (2000). “Single fractures under normal stress: the relation between fracture specific stiffness and fluid flow.” Int. J. Rock Mech. Min. Sci., 37(1-2), 245–262.
Pyrak-Nolte, L. J., Myer, L. R., Cook, N. G., and Witherspoon, P. A. (1987). “Hydraulic and mechanical properties of natural fractures in low permeability rock.” Proc., 6th Int. Congress on Rock Mechanics, G. Herget and S. Vongpaisal, eds., A. A. Balkema, Rotterdam, the Netherlands, 225–231.
Pyrak-Nolte, L. J., Nolte, D. D., Myer, L. R., and Cook, N. G. W. (1990). “Fluid flow through single fractures.” Proc., Int. Symp. on Rock Joints, L. Norway, N. Barton, and O. Stephansson, eds., Balkema, Rotterdam, Netherlands, 405–412.
Raven, K. G., and Gale, J. E. (1985). “Water flow in a natural rock fracture as a function of stress and sample size.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 22(4), 251–261.
Sharifzadeh, M., Mitani, Y., and Esaki, T. (2006). “Rock joint surfaces measurement and analysis of aperture distribution under different normal and shear loading using GIS.” Rock Mech. Rock Eng., 41(2), 299–323.
Sharp, J. C. (1970). “Fluid flow through fissured media.” Ph.D. thesis, Univ. of London, London.
Snow, D. T. (1969). “Anisotropie permeability of fractured media.” Water Resour. Res., 5(6), 1273–1289.
Sundaram, P. N., Watkins, D. J., and Ralph, W. E. (1987). “Laboratory investigations of coupled stress-deformation-hydraulic flow in a natural rock fracture.” Proc., 28th U.S. Symp. on Rock Mechanics, A. A. Balkema, Rotterdam, the Netherlands, 585–692.
Tatone, B. S. S., and Grasselli, G. (2012). “Quantitative measurements of fracture aperture and directional roughness from rock cores.” Rock Mech. Rock Eng., 45(4), 619–629.
Tse, R., and Cruden, D. M. (1979). “Estimating joint roughness coefficients.” Int. J. Rock Mech. Min. Sci., 16(5), 303–307.
Xia, C.-C., Tang, Z.-C., Xiao, W.-M., and Song, Y.-L. (2014). “New peak shear strength criterion of rock joints based on quantified surface description.” Rock Mech. Rock Eng., 47(2), 387–400.
Xia, C.-C., Wang, W., and Ding, Z. Z. (2008). “Development of three-dimensional TJXW-3D-typed portable rock surface topography.” Chin. J. Rock Mech. Eng., 27(7), 1505–1512 (in Chinese).
Xiao, W.-M. (2012). “Study on coupled stress-flow properties of rock joints by considering 3D topography characteristics.” Ph.D. thesis, Tongji Univ., Shanghai, China.
Yoshioka, N. (1994). “Elastic behavior of contacting surfaces under normal loads: a computer simulation using three-dimensional surfaces topographies.” J. Geophys. Res., 99(B8), 15549–15560.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 16Issue 3June 2016

History

Received: Nov 15, 2013
Accepted: Jul 2, 2015
Published online: Dec 14, 2015
Discussion open until: May 14, 2016
Published in print: Jun 1, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Weimin Xiao [email protected]
Doctoral Student, Dept. of Geotechnical Engineering, Tongji Univ., Shanghai, China; Associate Professor, School of Civil Engineering, Sichuan Agricultural Univ., Dujiangyan, Sichuan Province 611830, China (corresponding author). E-mail: [email protected]
Caichu Xia
Professor, Dept. of Geotechnical Engineering, Tongji Univ., Shanghai 200092, China.
Wei Wang
Geotech Engineering, Construction Safety and Quality Supervision Station, Min-hang Sub-station, Shanghai 201100, China.
Shigui Du
Professor, College of Civil Engineering, Shaoxing Univ., Shaoxing, Zhejiang Province 312000, China.
Ronggui Deng
Professor, Dept. of Geotechnical Engineering, Southwest Jiaotong Univ., Chengdu, Sichuan Province 610031, China.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share