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Numerical Simulations of Granular Shear Zones

Investigator : Julia K. Morgan

Collaborators: Margaret Boettcher, Brown University (now at Woods Hole/MIT)

Funding Source: NSF Grants EAR98-05270 and EAR00-96005


Snapshot of numerical "experiment" of gouge filled fault zone, in this case with high proportion of fine particles relative to coarse. This image shows several right-lateral slip surfaces developed within the gouge. The 4 frames represent different ways of viewing the experiment: particle configuration shows the new positions of particles after 2% shear strain; particle rotation denotes which particles have rotated in what direction (to the right - yellow to red; to the left - green to blue); horizontal displacement shows gridded displacement vectors and colors corresponding to residual horizonal displacements; directional derivative provides map slip surfaces within the assemblage.


Abstract

The study of controls, processes, and deformation behaviors of large fault zones, especially along active plate margins, has been the focus of much recent lab, field, and theoretical work. These shear zones are often characterized by broad zones of deformation, anastamosing fault strands, damage zones, and thick accummulations of gouge. My recent research interests are on the gouge, which separates the fault blocks and softens the fault zones. Gouge derives from the disaggregation and alteration of wall rocks, and appears to evolve through time. Distinctive textures and fabrics. such as grain size and particle size distribution (PSD, which defines the relative abundance of large and small particles) in the gouge preserve a record of this evolution, and probably have strong influence on the strength of fault zone, the deformation behavior, and the seismogenic potential. Despite numberous lab and field studies focusing on correlating gouge properties and structure with strength and behavior, we still have very little understanding of the controls on fault behavior. Numerical simulations provide us the opportunity to look inside the deforming system. Due to the discrete nature of fault gouge, fault zone properties tend to be very heterogeneous, and marked by distinct discontinuities, e.g., zones of localized slip. Such complexity is difficult to capture using typical continuum theories or numerical techniques. The distinct element method (DEM) offers a unique numerical technique to study granular shear zones, preserving the discrete character of the material and enabling direct correlations among granular micromechanics and shear zone behavior. Over the last few years, our group has carried out DEM simulations of granular shear zones, exploring controls on deformational fabrics, shear zone strength, and frictional stability.

We have conducted two-dimensional (2D) simulations of shear on compact granular assemblages to explore correlations among strength, dilation, and deformational response. Second order effects introduced by variations in particle size and PSD were examined as well, in order to explore the evolution of cataclastically deforming gouge. Scaled shear zones about 1 cm thick were filled with power-law distributed particles (radii of 500, 250, 125, and 62.5 µm), and sheared to 200% strain to reach residual strength conditions. The 2D power law exponent, D, controlling PSD was varied from 0.81 to 2.60; normal stresses ranged from 40 to 140 MPa. The numerical experiments reveal a direct correspondence between shear strength and dilation rate (i.e., changes in volume with strain) which correlates well with deformational behavior. Episodes of peak strength correlate to high rates of dilation, and are accompanied by interlocking of the shear zone and distributed shear. Abrupt drops in strength correspond to decreases in dilation rate followed by eventual contraction, as localized zones of slip form and propagate through the shear zone. These observations are consistent with predictions of others (e.g., Marone et al., 1990, J. Geophys. Res., 95, 7007; Beeler et al., 1996, J. Geophys. Res., 101, 8697), based on energy considerations. Variations in numerically determined shear strength also suggest second order dependencies on net dilation and PSD. The former results from changes in porosity, interparticle contact abundance, and magnitude and orientation of contact forces, all of which influence particle mobility. The PSD effects appear to arise from the partitioning of deformation between interparticle sliding and rolling. Enhanced interparticle rolling occurs in high D assemblages, leading to the self-organization of rolling particles into localized slip bands and a reduction in shear zone strength.



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