HR: 0800h
AN: T51C-0704 [Abstracts]
TI: Differential Geometry of Fault Surfaces and Glacial Beds: Associated Deformation Patterns
AU: * Kaven, J
EM: kaven@stanford.edu
AF: Department of Geological and Environmental Sciences, Stanford University, 450 Serra Mall
Braun Hall, Building 320, Stanford, CA 94305, United States
AU: Brodsky, E
EM: brodsky@pmc.ucsc.edu
AF: Department of Earth and Space Sciences, University of California, Santa Cruz, 1156 High
St., Santa Cruz, CA 95060, United States
AU: van der Elst, N
EM: nvanderelst@pmc.ucsc.edu
AF: Department of Earth and Space Sciences, University of California, Santa Cruz, 1156 High
St., Santa Cruz, CA 95060, United States
AU: Sagy, A
EM: asagy@pmc.ucsc.edu
AF: Department of Earth and Space Sciences, University of California, Santa Cruz, 1156 High
St., Santa Cruz, CA 95060, United States
AU: Pollard, D D
EM: dpollard@stanford.edu
AF: Department of Geological and Environmental Sciences, Stanford University, 450 Serra Mall
Braun Hall, Building 320, Stanford, CA 94305, United States
AB:
We measure glacial sliding surfaces and the striations on them and argue that these surfaces at the base of
hard-bedded mountain glaciers can be compared to geologic fault surfaces albeit the obvious rheological
differences. The reorientation of glacial striations around topographic anomalies provides quantifiable
information about the otherwise inaccessible conditions. We use a ground-based LiDAR to measure the first
high-precision orientations of these streaks at a field locality near Tenaya Lake, CA. We find that they are
resolvably deflected around topographic highs. For example, bumps of about 0.3 m deflect the striations by up to
10°. Deviations from planar geometries can be quantified using the principles of differential geometry.
These methods calculate the principal normal curvatures at each point on the surface and admit classification of
one of eight basic shapes. Two of these shapes (synform and antiform) exhibit a zero principal normal curvature
in one direction, one (plane) has no nonzero curvature, and another (perfect saddle) requires equal but opposite
principal curvatures. None of these shapes are found in raw field data, so a curvature threshold and/or spectral
filtering are applied to remove curvatures not distinguishable from zero. Common sliding surface shapes that can
be described by this classification are domes, basins, antiformal, synformal, and perfect saddles. These non-
developable shapes induce strains in the adjacent rock and ice masses as relative particle motions on either
side of the fault or sliding surface are expected to be non-zero. These strains are not induced by surfaces with at
most one non-zero principal normal curvature if the sliding direction is perpendicular to the direction of non-zero
principal normal curvature. The additional strains may lead to nonparallel striations and off-fault deformation. Our
goal is to relate the magnitudes of the two principle curvatures to changes in sliding direction. We show how the
geometric shapes of the glacial sliding surfaces compare and contrast with fault surface shapes and how these
shapes relate to glacial striations and slickenlines preserved on faults. Our field examples reveal the significance
of geometric complexities to the mechanics of faulting and glacial sliding, and elucidate the interplay of surface
geometry and slip behavior.
DE: 0722 Rock glaciers
DE: 8004 Dynamics and mechanics of faulting (8118)
DE: 8020 Mechanics, theory, and modeling
SC: Tectonophysics [T]
MN: 2007 Fall Meeting