FAULTING AND FRACTURING
Contemporary interpretation of rock faulting is
still strongly influenced by the work of Coulomb's (1773) as introduced
to the geological
literature by Anderson (1905). Yet, these widely accepted works are far
from
being complete and I explored two central issues that remained
unsolved.
The first issue is faulting processes under three-dimensional strain.
While
3-D strain is the general situation in the field and experiments,
faulting theories use plane- strain assumptions. I presented the first
experimental observations of fault patterns in granites, sandstone and
limestones, deformed under three-dimensional strain (polyaxial
loading). Further, following Taylor (1938), I derived a model which is
based on the assumption that slip along faults accommodates the applied
strain field. The model prediction fit well the experimental
observations and explains some anomalies of fault patterns in the
field. The second issue is fault evolution: nucleation and propagation
of a single fault and the development of fault systems; these topics
became the center of my faulting research during the last ten years. My
early studies included clay cake experiments in which I examined the
growth mechanisms of
individual faults and the interaction of adjacent faults. The
experiments indicated new relations between geometry of fault patterns
and host material rheology. I used these results to explain the
structure of pull-apart basins along the Dead Sea transform and the
properties of fragmented rocks. Later, as part of the analysis of
triaxial fault experiments of Westerly granite, I developed a model for
nucleation and propagation of faults in brittle rocks. The model is
based on the interaction among tensile microcracks that develop in a
self-organized pattern. This model predicts that faults should
propagate in their own plane, making an angle of 20-30 degrees with the
axis of maximum compression (in agreement with thousands of field and
laboratory observations). The model provides the first physical
explanation for the 'internal friction', the empirical parameter of
Coulomb criterion.
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SEISMIC HAZARD AND NEOTECTONICS
I have studied the seismic and tectonic activity
of the last few millennia along the Dead Sea transform. This work
included paleoseismic analysis of the Jericho segment during the last
2000 years, Holocene faulting in the northwestern part of the Dead Sea
basin, and Holocene activity of
the Elat segment. The later study included underwater mapping of active
faults by using a submersible. In a second stage, we measured in-situ
stresses around the Dead Sea transform including determination of the
stresses from caliper logs of oil boreholes, logging with a Televiewer
system, and hydrofracturing in geotechnical wells. The in-situ stress
measurements generated some stimuton nature of current faulting
processes in Israel and adjacent areas. Currently, I am involved in
thanalysis of earthquakes in non-linear viscoelastic crust. We investhe
cycle of great earthquakes along the San Andreas fault for a crust with
nonlinear, depth-dependeviscoela.The mpredictions fit geodetic
observations in California and indthe in-situ viscosity of crustal
rocks
is 3-6 orders of magnitude less then the viscosity determined in the
laboratory.
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CRUSTAL STRESS FIELDS
Knowing the crustal stress field is essential for
regional and mechanical structural analyses. My studies of this topic
dealt with
field measurements, development of numerical methods and mechanical
synthesis.
We determined the first detailed map of the tectonic paleo-stresses in
the
Sinai-Israel plate, I have recently measured in-situ stresses around
the
Dead Sea transform. These studies defined paleo- and current structural
domains
in Israel and refined the regional tectonic history. I developed a new
stress
inversion method for accurate determination of the complete stress
tensor
from fault slip data and microearthquakes. The method that incorporates
friction
along small faults, provides a tool for regional analysis and strength
evaluation of the crust.
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EMPLACEMENT OF VOLCANIC
INTRUSIONS
In recent years I became engaged in studies of
dike and laccolith emplacement. Our field work and analyses departed
from the crustal
idealized models of uniform elastic host rocks; they include layered
sequences
of sedimentary rocks, depth-dependent distribution of tectonic
stresses,
depth-dependence variations of rock rheology, and fractured basement
rocks.
These analyses led to new mechanisms for dike segmentation, dike
segment rotations, segment termination and flow directions within
dikes. We also
explored the effect of preexisting fractures on dike orientations and
we
developed the first model for dike emplacement into 3-D fractured
basement.
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MECHANICS OF ASYMMETRIC FOLDING
Asymmetric folds range in size from small
kink-bands through monoclines to lithosphere bending; structures of all
these scales were studiesd by me. I started with the mechanisms of
kinking in well laminated rocks, and showed in experiments and theory
the vital effect of shear stress parallel to layering on the growth and
stability of kink-bands. I then studied monoclines in the field and
experiments and developed a comprehensive model for their development.
The model incorporates three mechanisms: buckling, draping and kinking.
The relative dominance of each mechanism depends on
the nature of the tectonic loading and the rheology of the deformed
rocks.
This model was also used in the interpretation of dome above
laccoliths,
the lithosphere flexures of the Arabian plate, and the surface
deformation
associated with some large recent earthquakes occurred along blind
faults
in California.
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LOCALIZATION, NUCLEATION AND
GROWTH OF FAULTS
We will explore two general approaches for fault
nucleation. One approach suggests that faults nucleate as a tiny
initial nucleus surrouneded by a small process zone and grows when a
specified stress state is exceeded at fault tips; this approach is
similar to Barnblatt-Dugdale concept for
tensile fractures. The second approach, based on distributed damage
model,
assumes that faults nucleate when critical mechanical conditions
formulated
in terms of rock damage cause damage localization in a narrow zone.
Investigating
these processes is the objective of the present work that will explore
several aspects of faulting.
The proposed work integrates field observations
and microstructural analysis of faulted rocks with experimental
studies. In the course of the study we will map fault related
deformation in few scales ranging from 1:500 to 50:1. We will evaluate
damage using ultrasonic velocities and insitu elastic modulus values. A
series of rock mechanics experiments will establish the relationship
between damage intensity strain history and mechanical properties. The
field and laboratory results will be used to verify models of fault
nucleation by utilizing numerical simulations of damage media.
We chose block of fine grained quartz-syenitic in
Gevanim dome intrusions, Ramon as a suitable site for field work. The
block contains thousands of small and intermediate size faults that are
well exposed. These faults were mapped and the deformation around them
was analyzed. We found that the faulted block is damaged microscopicaly
as is evident by lower ultrasonic velocity, lower elastic rebound and
intense microcracking. Additional mapping of the faults geometry and
the microfabric pattern will be conduced in the course of the study.
Rock mechanics experiments will establish the relationship between
damage intensity, strain history and mechanical properties of Gevanim
quarts-syenite. The results of the experimental work will enable the
mapping of rock properties and damage distribution around the faults.
This mapping is the essential tool for theoretical modeling of faulting
mechanisms. We hope that the present new approach, of damage mapping in
the field, will contribute
to the understanding of faulting mechanisms.
Graduate student: Katz Oded (Ph.D.)
Research supervision: Ze'ev Reches, Vladimir Lyakhovsky &
Gidon Baer
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DYNAMIC FRACTURING OF ROCKS
Countless fractures appear in the earth's crust.
Many of them grow unstably and at high velocities as evidenced by
recent earthquakes and rockbursts. However, there is no systematic
method to deduce the fracture growth velocity from its appearance in
the field. We propose to analyze
the mechanisms of unstable, dynamic fracturing in rocks by focusing on
mode
I, tensile fractures (joints and dikes). The analysis includes
experimental
work, field mapping of joints and dikes and numerical modeling. The
planned
work is based on a recent breakthrough in fracturing experiments by
Sharon
and Fineberg (1996). They established the relationships between
fracture
geometry, fracture velocity and energy-release rate. Their experiments
were
with 2-D plates of uniform, brittle materials, and we intend to expand
this
analysis to granular, heterogeneous materials, and to explore the
effects
of 3-D structures. We will develop geometric criteria for dynamic
fracturing
in rocks in laboratory tests, and will apply these to resolve a set of
open
questions related to joints and dikes in the field. Knowing growth
velocity
of fractures is important for practical purposes like seismic hazard
evaluation,
rockburst risk and geotechnical stability estimates.
Funded by BSF, 1999-2002.
Principal investigators: Reches Ze'ev,
Germanovich Leonid
and Fineberg Jay
Graduate student: Sagy Amir (Ph.D.)
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FRACTURE SYSTEMS ALONG THE DEAD
SEA BASIN
The Dead Sea basin (DSB) is a large pull-apart
associated with the 105km of left-lateral slip along the Dead Sea
transform. The DSB is an elongated depression, about 150km long and up
to 25km wide. The present structural analysis of the western margins of
the DSB indicates distinct
strain partitioning: the horizontal component of slip is accommodated
along
a subvertical fault zone inside the basinal depression, whereas the
vertical
subsidence is accommodated by a belt of large normal faults that forms
the
basin margins.
This belt of faults trends in a N-S direction, it
is about 100km long and 3-5km wide and its cumulative vertical
displacement locally
exceeds 10km. We analyzed the relationships between faults and joints
of
this belt. Joints were studied in 35 stations in which they were mapped
at
scale of 1:10 or measured along scanlines. Subsurface fractures were
analyzed on CAST logs in one borehole. The regional, subvertical joints
exhibit two prevailing sets, NNE and NNW, that display ribs, plumose
and branching structures. The dominafaults ithe belt are oblique-normal
with extensive zigzag segmentation. Four sets of segments in
orthorhombsymmetry are recognized here; their orientations indicatethat
they formed under 3D-strain state of vertical maximum shortening,
horizontal N-S shortening and E-W extension.strikes of the fault sets
are parallel to the strikes of the dominating joint sets, and these
relations are explained by modeling the elastic stress fields
associated with layer bending above zigzag fault systems. We also
evaluated in-situ stress state within the belt from breakout analysis
and stress-inversion of fault slip data.
The above structural features are compatible with
E-W extension; however, none of them fits the N-S left-lateral shear of
the Dead Sea transform. This strain partitioning is attributed to the
following process: (1) subsidence of a "proto" DSB due to the
pull-apart motion; (2) large scale bending of the margins of the
Sinai-Israel subplate along the "proto" basin; (3) brittle yielding of
the upper crust to develop a belt of normal faults; (4) continuous
left-lateral slip and elongation of the pull-apart basin,
and semicontemporaneous vertical subsidence along the normal fault. We
use
this model to evaluate the elastic thickness of the Sinai-Israel plate.
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