Abstract
Results for the pore pressure induced by a plane strain shear dislocation that starts from rest, moves a finite distance at constant speed and stops demonstrate that coupling between deformation and diffusion causes a complex response even though the spatial distribution of slip is simple. A summary of recent solutions for stationary, instantaneous plane strain shear and opening dislocations and steadily moving shear dislocations demonstrates that coupling between deformation and diffusion is significant for locations near the dislocation edge and for short times. In addition, the response depends strongly on whether the plane of the dislocation is permeable or impermeable. Applications of these solutions to interpret water well level changes caused by aseismic slip (creep) in the Earth’s crust are discussed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abramowitz, M. and Stegun, L A., Eds. (1964), Handbook of Mathematical Functions, Appt. Math. Ser. 55, National Institute of Standards and Technology, Gaithersburg, Md.
Atkinson, C. and Craster, R.V. (1991), Plane strain fracture in poroelastic media, Proc. Royal Society London A 434, 605–633.
Biot, M. A. (1941), General theory of three dimensional consolidation, J. Applied Physics 12, 155–164.
Booker, J. R. (1974), Time dependent strain following faulting of a porous medium, J. Geophysical Research 79, 2037–2044.
Byerlee, J. D. (1990), Friction, overpressure and fault normal compression, Geophysical Research Letters 17, 2109–2112.
Carslaw, H. S. and Jaeger, J. C. (1959), Conduction of Heat in Solids, 2nd Ed., Oxford University Press, Oxford, U. K.
Cleary, M. P. (1977), Fundamental solutions for a fluid-saturated porous solid, Int. J. Solids and Structures 13, 785–806.
Cleary, M. P. (1978), Moving singularities in elasto-diffusive solids with applications to fracture propagation, Int. J. Solids and Structures 14, 81–97.
Detournay, E. and Cheng, A. H-D. (1991a), Plane strain analysis of a stationary hydraulic fracture in a poroelastic medium, Int. J. Solids and Structures 27, 1645–1662.
Detournay, E. and Cheng, A. H-D. (1991b), Fundamentals of poroelasticity, in J. A. Hudson (ed.), Comprehensive Rock Engineering: Principles, Practice and Projects, Vol. 2, Pergamon Press.
Detournay, E., Cheng, A. H-D., and McLennan, J. D. (1990), A poroelastic PKN hydraulic fracture model based on an explicit moving mesh algorithm. J. of Energy Resources Technology 112, 224–230.
Johnson, A. G., Kovach, R. L. and Nur, A. (1973), Pore pressure changes during creep events on the San Andreas fault, J. Geophysical Research 78, 851–857.
Lippincott, D. K., Bredehoeft, J. D. and Moyle, W. R. Jr. (1985), Recent movement on the Garlock Fault suggested by water level fluctuations in a well in Fremont Valley, California, J. Geophysical Research 90, 1911–1924.
Nur, A. and Byerlee, J. D. (1971), An exact effective stress law for elastic deformation of rock with fluids, J. Geophysical Research 76, 6414–6419.
Nur, A. and Booker, J. R. (1972), Aftershocks caused by fluid flow? Science 175, 885–887.
Rice, J. R. (1992), Fault stress states, pore pressure distributions, and the weakness of the San Andreas fault, in Brian Evans and Teng-Fong Wong (eds.), Fault Mechanics and Transport Properties of Rocks, Academic Press Ltd., pp. 475–503.
Rice, J. R. and Cleary, M. P. (1976), Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents, Reviews of Geophysics 14, 227–241.
Rice, J. R. and Simons, D. A. (1976), The stabilization of spreading shear faults by coupled deformation-diffusion effects in fluid-infiltrated porous materials, J. Geophysical Research 81, 5322–5344.
Roeloffs, E. A. and Rudnicki, J. W. (1984/85), Coupled-deformation diffusion effects on water level changes due to propagating creep events, Pure and Applied Geophysics (PAGEOPH) 122, 560–582.
Roeloffs, E. A., Burford, S. S., Riley, F. S. and Records, A. W. (1989), Hydrologic effects on water level changes associated with episodic fault creep near Parkfield, California, J. Geophysical Research 94, 12387–12402.
Rudnicki, J. W. (1984), Effects of dilatant hardening on the development of concentrated shear deformation in fissured rock masses, J. Geophysical Research 89, 9259–9270.
Rudnicki, J. W. (1986), Slip on an impermeable fault in a fluid-saturated rock mass, in S. Das, J. Boatwright, and C. H. Scholz (eds.), Earthquake Source Mechanics, Geophys. Monogr. Ser., vol. 37, AGU, Washington, D. C., pp. 81–89.
Rudnicki, J. W. (1987), Plane strain dislocations in linear elastic diffusive solids, J. Applied Mechanics 54, 545–552.
Rudnicki, J. W. (1991), Boundary layer analysis of plane strain shear cracks propagating steadily on an impermeable plane in an elastic diffusive solid, J. Mechanics and Physics of Solids 39, 201–221.
Rudnicki, J. W. and Hsu, T.-C (1988), Pore pressure changes induced by slip on permeable and impermeable faults, J. Geophysical Research 93, 3275–3285.
Rudnicki, J. W. and Roeloffs, E. A. (1990), Plane strain shear dislocations moving steadily in linear elastic diffusive solids, J. Applied Mechanics 57, 32–39.
Rudnicki, J. W. and Koutsibelas, D. A. (1991), Steady propagation of plane strain shear cracks on an impermeable plane in an elastic diffusive solid. Int. J. Solids and Structures 27, 205–225.
Rudnicki, J. W., Yin, J. and Roeloffs, E. A. (1993), Analysis of water level changes induced by fault creep at Parkfield, California, J. Geophysical Research 98, 8143–8152.
Rudnicki, J. W. and Wu, M. (1993), Pore pressure changes induced by slip in a poroelastic half-space. Draft manuscript submitted as part of the Final Report to U. S. Geological Survey for Award No. 1434–92-G-2164, Coupled Deformation Diffusion Solutions fo the Interpretation of Slip Induced Water Well level Changes at Parkfield.
Ruina, A. (1978), Influence of coupled deformation-diffusion effects on retardation of hydraulic fracture, in Y. S. Kim (ed.), Proc. U. S. Symposium on Rock Mechanics, 19th, Stateline, Nev., University of Nevada Reno, pp. 274–282.
Simons, D. A. (1979), The analysis of propagating slip zones in porous elastic media, in R. Burridge (ed.), Fracture Mechanics, Proceedings of the symposium in applied mathematics of AMS and SIAM, SIAMAMS, New York, pp.. 153–169.
Wang, C-Y. and Lin, W. (1978), Constitution of the San Andreas fault zone at depth, Geophysical Research Letters 5, 741–744.
Wesson, R. L. (1981), Interpretation of changes in water level accompanying fault creep and implications for earthquake prediction, J. Geophysical Research 86, 9259–9267.
Wu, F. T., Blatter, L. and Roberson, H. (1975), Clay gouges in the San Andreas fault system and their possible implications, Pure and Applied Geophysics (PAGEOPH) 113, 87–95.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Rudnicki, J.W. (1996). Moving and Stationary Dislocations in Poroelastic Solids and Applications to Aseismic Slip in the Earth’s Crust. In: Selvadurai, A.P.S. (eds) Mechanics of Poroelastic Media. Solid Mechanics and Its Applications, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8698-6_1
Download citation
DOI: https://doi.org/10.1007/978-94-015-8698-6_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4513-3
Online ISBN: 978-94-015-8698-6
eBook Packages: Springer Book Archive