Rock Physics Research Group

Fluid Flow, Fracture Stiffness and Scaling

Interrelationship

The papers listed below focus on fluid flow and the interrelationship between the mechanical and hydraulic properties of fractures.

Journal Publications and Conference Proceedings:

Hydraulic and Mechanical Properties of Natural Fractures in Low Permeability Rock
Pyrak-Nolte, L.J., Myer, L.R., Cook, N.G.W. and P.A. Witherspoon1987,  Proceedings of the Sixth International Congress on Rock Mechanics  editors: G. Herget & S. Vongpaisal, Montreal, Canada, pages: 225-231,  August 1987, Pubs. A.A. Balkema (Rotterdam) View

Fluid Percolation through Single Fractures
Pyrak-Nolte, L.J., Cook, N.G.W., and D.D. Nolte1988, Geophysical Research Letters, volume: 15 issue: (11), pages: 1247-1250, View

Fractal Geometry of the Flow Paths in Natural Fractures and the Approach to Percolation
Nolte, D.D., Pyrak-Nolte, L.J., and N.G.W. Cook1989, Pure and Applied Geophysics, volume: 131 issue: (1 / 2), pages: 111, View

Fluid Flow through Single Fractures
Pyrak-Nolte, L. J., Nolte, D. D., Myer, L. R. and N. G. W. Cook1990,  Proceedings of the International Symposium on Rock Joints, Loen, Norway  editors: Barton & Stephansson, pages: 405-512,  4-6 June 1990, A. A. Balkema, Rotterdam View

Stratified Continuum Percolation: Scaling Geometry of Hierarchical Cascades
Nolte, D.D. and L.J. Pyrak-Nolte1991,  Physical Review A , volume: 44 , pages: 6320-6333, View

Multiphase Flow in a Fracture
Pyrak-Nolte, L. J1991,  Proceedings of the 1991 Coalbed Methane Symposium, The University of Alabama, Tuscaloosa, pages: 433-442,  May 13-16, 1991

Immiscible Fluid Flow in a Fracture
Pyrak-Nolte, L. J., Helgeson, D. and G. M. Haley1992,  Rock Mechanics, Proceedings of the 33rd U.S. Symposium,  editors: Tillerson & Wawersik,  Santa Fe, New Mexico, 3-5 June 1992 View

Multiphase flow through cleats in coal
1993,  Quarterly Review of Methane from Coal Seams Technology, volume: 11 issue: (2), pages: 34-38

The Effect of the Critical Path on Fluid Flow through a Fracture
Pyrak-Nolte, L. J. & C. D. Montemagno1994,  Proceedings of the 1st North American Rock Mechanics Symposium, The University of Texas at Austin  editors: P. P. Nelson and S. E. Laubach, A. A. Balkema, pages: 81-88,  1-3 June 1994 View

The effect of drying and re-saturation on the gas permeability of coal
S. Roy & L.J. Pyrak-Nolte1995, Rock Mechanics Proceedings of the 35th U.S. Symposium  editors: Jaak J.K. Daemen, Richard A. Schultz, University of Nevada, Reno, pages: 613-618, 5-7 June, 1995 View

Three-dimensional tomographic visualization of natural fracture networks and graph theory analysis of the transport properties
L.J. Pyrak-Nolte & C.D. Montemagno, G. Yang & N.G.W. Cook, L.R. Myer1995,  Proceedings of the 8th International Congress on Rock Mechanics  editors: Herausgeber, T. Fujii, Tokyo, Japan, pages: 855-859, View

The Seismic Response of Fractures and the Interrelationships Among Fracture Properties
Pyrak-Nolte, L. J.1996,   International Journal of Rock Mechanics Mining Science & Geomechanics Abstracts , volume: 33 issue: (8) , pages: 782-802, View

Coexisting two-phase flow in correlated two-dimensional percolation
Nolte, D. D. and L. J. Pyrak-Nolte, 1997, Physical Review E , volume: 56 issue: (5), pages: 5009-5012, View

Fracture Geometry and Relative Permeabilities: Application to Mulitphase Flow through Coal
Morris, J. P., Pyrak-Nolte, L. J., Giordano, N. J., Cheng, J.-T., Tran, J. and A. Lumsdaine 1999,  Proceedings of the 1999 Coalbed Methane Symposium, The University of Alabama, Tuscaloosa, May issue: (9943) , pages: 377-387, View

Fracture Network Geometry versus Single Fractures: Measurement of Fracture Network Geometry with X-ray Tomography
Montemagno, C. D. and L. J. Pyrak-Nolte1999,  Physic & Chemistry of the Earth (A) , volume: 24 issue: (7) , pages: 575-579, View

Single fractures under normal stress: The relation between fracture specific stiffness and fluid flow
Pyrak-Nolte, L. J. and J. P. Morris2000,  International Journal of Rock Mechanics Mining Science & Geomechanics Abstracts , volume: 37 , pages: 245-262, View

Terrestrial Sequestration of CO2 - An Assessment of Research Needs
Wawersik, W. R., Rudnicki, J. W., Orr, F. M., Pyrak-Nolte, L. J., Wilson, J. L., Ortoleva, P. J., Dove, P., Richter, F., Logan, J.. M., Wong, T.-F., Harris, J. H., and N. R. Warpinski, 2001, Advances in Geophysics, volume: 42, pages: 97-177

Single-phase flow in a rock fracture:  micro-model experiments and network flow simulation
Cheng, J.-T., Morris, J. P., Tran, J., Lumsdaine, A., Giordano, N. J., Nolte, D. D. and L. J. Pyrak-Nolte2004, International Journal of Rock Mechanics and Mining Science, volume: 41 , pages: 687-693 View

Scaling of fluid flow versus fracture stiffness
Petrovitch, C.L., Nolte, D.D. and L.J. Pyrak-Nolte, 2013, Geophysical Research Letters, vol. 40, 2076-2080, doi:10.1002/grl.50479 View

Combined scaling of fluid flow and seismic stiffness in single fractures
Petrovitch, C.L., Nolte, D.D. and L.J. Pyrak-Nolte, 2014, Rock Mechanics and Rock Engineering, DOI 10.1007/s00603-014-0591-z View

Approaching a universal scaling relationship between fracture stiffness and fluid flow
Pyrak-Nolte, L.J. and D.D. Nolte, 2016, Nature Communications 7, Article number 10663, doi:10.1038/ncomms10663, Published 12 February 2016.

Influence of rock mineralogy on reactive fracture evolution in carbonate-rich caprock

Spokas, K., Peters, C.A. and L. J. Pyrak-Nolte, Environ. Sci. Tech., 2018 Sep 4, 52(17):10144-10152,acs.est.8b01021

Fracture Specific Stiffness: the Critical Link between the Scaling Behavior of Hydro-Mechanical Coupling in Fractures and Seismic Monitoring
Pyrak-Nolte, L.J., Chapter 14:  Fracture Specific Stiffness: the Critical Link between the Scaling Behavior of Hydro-Mechanical Coupling in Fractures and Seismic Monitoring,for “Science of Carbon Storage in Deep Saline Formations: Process Coupling Across Time and Spatial Scales”, eds P. Newell and A. Ilgen, (2019) Elsevier

From fluid flow to coupled processes in fractured rock:  recent advances and new frontiers
Viswanathan, H.S., Ajo-Franklin, J., Birkholzer J., Carey, J.W., Guglielmi, Y., Hyman, J.D., Karra, S, Pyrak-Nolte, L. J., Rajaram, H., Srinivasan, G. and D.M. Tartakovsky, accepted for publication in to Reivews of Geophysics, Jan 20, 2022.