Fault growth by linkage: observations and implications from analogue models

Abstract Using time sequence analyses of extensional fault models we demonstrate the pivotal role played by fault segmentation in the accumulation of displacement and length during the growth of faults. Experiments are described in which incremental steps during the development of individual faults have been reconstructed from time-lapse photographs taken during model deformation. These records confirm the composite segment hierarchy of fault structure, a pattern that is frequently recognised in many natural arrays. They reveal the progressive enlargement of individual faults to be the product of a repetitive cycle of tip-line propagation, overlap and linkage between nearest neighbours. By contrasting the displacement patterns of successive increments during growth convincing evidence is also presented to suggest that individual segments of faults may remain kinematically independent once they are physically linked. This behaviour is shown to be responsible for the characteristic saw-tooth patterns often recognised in strike-parallel fault displacement profiles. Such patterns are believed to arise where relict segment boundaries remain preserved as asperities to slip, so that displacement is confined to discrete parts of a fault plane surface. Growth in this way also causes the maximum displacement (D) and surface length (L) of faults to continually change by different proportions. Incremental displacement records presented here corroborate field evidence which shows that linkage between fault segments during growth is responsible for a significant component of the spread of values often recorded in D versus L compilations. Finally, we speculate that linkage between fault segments also accounts for transient irregularities recorded in the frequency distribution of the fault length populations of each model.

[1]  P. Gillespie,et al.  Limitations of dimension and displacement data from single faults and the consequences for data analysis and interpretation , 1992 .

[2]  J. Cartwright,et al.  Relay-ramp forms and normal-fault linkages, Canyonlands National Park, Utah , 1994 .

[3]  Patience A. Cowie,et al.  A healing–reloading feedback control on the growth rate of seismogenic faults , 1998 .

[4]  Didier Sornette,et al.  Statistical physics model for the spatiotemporal evolution of faults , 1993 .

[5]  J. Tchalenko Similarities between Shear Zones of Different Magnitudes , 1970 .

[6]  Patience A. Cowie,et al.  Displacement-length scaling relationship for faults: data synthesis and discussion , 1992 .

[7]  S. Wojtal Fault scaling laws and the temporal evolution of fault systems , 1994 .

[8]  Graham Yielding,et al.  Sampling of fault populations using sub-surface data: a review , 1996 .

[9]  J. Walsh,et al.  Geometric and kinematic coherence and scale effects in normal fault systems , 1991, Geological Society, London, Special Publications.

[10]  B. Atkinson Fracture Mechanics of Rock , 1987 .

[11]  D. Sanderson,et al.  Displacements, segment linkage and relay ramps in normal fault zones , 1991 .

[12]  C. Scholz,et al.  Growth of normal faults: Displacement-length scaling , 1993 .

[13]  J. Walsh,et al.  Populations of faults and fault displacements and their effects on estimates of fault-related regional extension , 1992 .

[14]  C. Mansfield,et al.  The growth of normal faults by segment linkage , 1996, Geological Society, London, Special Publications.

[15]  George V. Chilingar,et al.  Faulting, fault sealing and fluid flow in hydrocarbon reservoirs. , 2000 .

[16]  R. Schlische,et al.  Overlapping Faults, Intrabasin Highs, and the Growth of Normal Faults , 1994, The Journal of Geology.

[17]  A. Aydin,et al.  Effect of mechanical interaction on the development of strike-slip faults with echelon patterns , 1990 .

[18]  David D. Pollard,et al.  Slip distributions on faults: effects of stress gradients, inelastic deformation, heterogeneous host-rock stiffness, and fault interaction , 1994 .

[19]  Graham Yielding,et al.  The importance of small-scale faulting in regional extension , 1991, Nature.

[20]  Patience A. Cowie,et al.  Growth of faults by accumulation of seismic slip , 1992 .

[21]  Agust Gudmundsson Tectonics of the thingvellir fissure swarm, sw iceland , 1987 .

[22]  J. Walsh,et al.  The prediction of small-scale faulting in reservoirs , 1992 .

[23]  D. P. Schwartz,et al.  The Wasatch fault zone, utah—segmentation and history of Holocene earthquakes , 1991 .

[24]  John G. Ramsay,et al.  The techniques of modern structural geology , 1987 .

[25]  Randall Marrett,et al.  Estimates of strain due to brittle faulting : sampling of fault populations , 1991 .

[26]  David D. Pollard,et al.  Three-dimensional analyses of slip distributions on normal fault arrays with consequences for fault scaling , 1996 .

[27]  C. Scholz,et al.  Fault growth and fault scaling laws: Preliminary results , 1993 .

[28]  T. Rives,et al.  Space and time propagation processes of normal faults , 1998, Geological Society, London, Special Publications.

[29]  G. Mandl,et al.  Fault geometries in basement-induced wrench faulting under different initial stress states , 1986 .

[30]  J. Walsh,et al.  Displacement Geometry in the Volume Containing a Single Normal Fault , 1987 .

[31]  I. Main,et al.  Non-universal scaling of fracture length and opening displacement , 1994, Nature.

[32]  J. Brun,et al.  Physical models of extensional tectonics at various scales , 1987, Geological Society, London, Special Publications.

[33]  K. McClay,et al.  Geometries of extensional fault systems developed in model experiments , 1987 .

[34]  C. Mansfield,et al.  Lateral displacement variation and lateral tip geometry of normal faults in the Canyonlands National Park, Utah , 1998 .

[35]  A. Nicol,et al.  The shapes, major axis orientations and displacement patterns of fault surfaces , 1996 .

[36]  C. Mansfield,et al.  Fault growth by segment linkage: an explanation for scatter in maximum displacement and trace length data from the Canyonlands Grabens of SE Utah , 1995 .

[37]  N. Dawers,et al.  Displacement-length scaling and fault linkage , 1995 .

[38]  I. Davison Fault slip evolution determined from crack-seal veins in pull-aparts and their implications for general slip models , 1995 .

[39]  S. Wojtal Changes in fault displacement populations correlated to linkage between faults , 1996 .

[40]  Haakon Fossen,et al.  Experimental modeling of extensional fault systems by use of plaster , 1996 .

[41]  G. M. Laslett,et al.  Censoring and edge effects in areal and line transect sampling of rock joint traces , 1982 .

[42]  J. Walsh,et al.  Fault overlap zones within developing normal fault systems , 1995, Journal of the Geological Society.

[43]  J. Walsh,et al.  Analysis of the relationship between displacements and dimensions of faults , 1988 .

[44]  Agust Gudmundsson Geometry, formation and development of tectonic fractures on the Reykjanes Peninsula, southwest Iceland , 1987 .

[45]  Patience A. Cowie,et al.  Physical explanation for the displacement-length relationship of faults using a post-yield fracture mechanics model , 1992 .

[46]  Didier Sornette,et al.  Fault growth in brittle‐ductile experiments and the mechanics of continental collisions , 1993 .

[47]  J. Watterson Fault dimensions, displacements and growth , 1986 .

[48]  D. Nieuwland,et al.  Modern Developments in Structural Interpretation, Validation And Modelling , 1995 .

[49]  D. Sanderson,et al.  Geometry and Development of Relay Ramps in Normal Fault Systems , 1994 .

[50]  P. Hancock,et al.  Continental Extensional Tectonics , 1987 .

[51]  D. Sanderson,et al.  Effects of propagation rate on displacement variations along faults , 1996 .

[52]  P. Bodin,et al.  Fault Zone Connectivity: Slip Rates on Faults in the San Francisco Bay Area, California , 1992, Science.

[53]  D. Pollard,et al.  8 – THEORETICAL DISPLACEMENTS AND STRESSES NEAR FRACTURES IN ROCK: WITH APPLICATIONS TO FAULTS, JOINTS, VEINS, DIKES, AND SOLUTION SURFACES , 1987 .

[54]  J. Walsh,et al.  Relay zone geometry and displacement transfer between normal faults recorded in coal-mine plans , 1995 .

[55]  Graham Yielding,et al.  The geometry of normal faults , 1990, Journal of the Geological Society.

[56]  Z. Shipton,et al.  Fault tip displacement gradients and process zone dimensions , 1998 .

[57]  D. Sornette,et al.  Fault growth model and the universal fault length distribution , 1991 .

[58]  J. J. Walsh,et al.  Distributions of cumulative displacement and seismic slip on a single normal fault surface , 1987 .

[59]  Didier Sornette,et al.  Multifractal scaling properties of a growing fault population , 1995 .

[60]  A. Lachenbruch Mechanics of Thermal Contraction Cracks and Ice-Wedge Polygons in Permafrost , 1962 .

[61]  Rolf V. Ackermann,et al.  Geometry and scaling relations of a population of very small rift-related normal faults , 1996 .

[62]  G. Oertel The mechanism of faulting in clay experiments , 1965 .