Title: Brittle Deformation
1Brittle Deformation
- Chapter 2 Structural Geology, 2nd Edition
- Robert J. Twiss and Eldridge M. Moores
2Fracture
- Surfaces along which rocks or minerals have
broken - Fracturing creating two free surfaces where none
existed before - Surfaces across which the material has lost
cohesion - Provide information for
- tectonic events
- permeability of rock to fluid flow and the fluid
storage properties - aquifer characteristics, contaminant transport,
migration of oil and gas. - mechanical properties of the rock
- design of structures such as dams and tunnels
3Fracture Geometry is Self-similar
- Fractures have the same geometry and distribution
at a wide range of scales - extend from microscopic to regional
- (see Box 2-1).
4Two Basic Types of Fracture
- Extension fracture the relative motion, as the
fracture propagates, is perpendicular to the
fracture walls (mode I) - Shear fractures the relative motion during
propagation is parallel to the surface. Two
end-member modes of shear fracture propagation
are possible - mode II propagation occurs if the sliding motion
is perpendicular to the propagating tip, or edge,
of the fracture - mode III propagation occurs if the sliding motion
is parallel to the propagating tip - Oblique extension fracture has components of
displacement both perpendicular and parallel to
the fracture surface
5Genetic vs. Descriptive Classification
- A descriptive classification based on the
relative displacement across the fracture surface
is more useful than a genetic classification
based on interpretations of how the fractures
formed - The descriptive criteria
- orientation of the displacement on the fracture
- geometry of the fractures, including their
orientation, - extent of individual fractures
- distinctive patterns formed by associated
fractures
6Four categories of observations
- The distribution and geometry of the fracture
system - The surface features of the fractures
- The relative timing of the formation of different
fractures - The geometric relationship of fractures to other
structures
7Geologic history of fractures is difficult to
interpret
- Evidence bearing on the mode of fracture
formation, and the relative time of formation of
different fractures is often ambiguous - As planes of weakness in the rock, fractures are
subject to reactivation in later tectonic events,
so some of the observable features of a fracture
may be completely unrelated to the time and mode
of its formation - Careful study of fractures, however, has
succeeded in making significant progress in
understanding their origins and significance
1 From the Latin fractus, which means broken
8Classification of Extension Fractures
- Fracture set Many fractures that occur in the
same area and have a similar orientation and
arrangement - Joint Extension fractures that show very small
displacement normal to their surfaces and no, or
very little, displacement parallel to their
surfaces - A fracture with a small shear displacement,
however, may be an extension fracture on which
shear displacement has later accumulated
9Systematic vs. Non-systematic
- Systematic joints have the attributes of roughly
planar fracture surfaces, regular parallel
orientations, and regular spacing - Nonsystematic joints are curved and irregular in
geometry, although they may be present in
distinct aerially persistent sets, and are
distinguished by nearly always terminating
against older joints that belong to a systematic
set - The terms 'joint' or 'joint set' alone, however,
usually refer to systematic joints unless
specifically indicated otherwise
10Joint Zone System, Lineament
- A joint zone is a quasi-continuous joint that is
composed of a series of closely associated
parallel fractures and that extends much further
than any of the individual fractures - Two or more joint sets affecting the same volume
of rock constitute a joint system - Joint sets and systems are nearly ubiquitous in
rock outcrops, and may persist over hundreds to
thousands of square kilometers, each set
displaying a constant or only gradually varying
orientation - Such systems can show up as linear features, or
lineaments, on high-altitude photographic and
radar images
11Sheet joints, sheeting, or exfoliation joints
- Extension fractures that are smoothly curved at a
scale on the order of hundreds of meters - They are subparallel to the topography and result
in a characteristic smooth, rounded topography
(Figure 2.5) - Sheet joints occur in many kinds of rocks, but
the characteristic topography is best displayed
in plutonic rocks in mountainous regions where
the joints appear to cut the rock into sheets
like the layers of an onion - Many sheet joints apparently formed later than
other joint sets, although in some cases they
predate late phases of intrusive activity, as
indicated by dikes present along the joints
12Columnar Joints
- Extension fractures characteristic of shallow
tabular igneous intrusions, dikes or sills, or
thick extrusive flows - The fractures separate the rock into roughly
hexagonal or pentagonal columns (Figure 2.6),
which are often oriented perpendicular to the
contact of the igneous body with the surrounding
rock
13Joints and other Structures
- Strike joints and dip joints are vertical joints
parallel to the strike or dip of the bedding,
respectively - Bedding joints are parallel to the bedding
- Cross joints are systematic joints of a set that
either consistently terminate against the joints
of another set or that cut a fold or some other
linear feature at high angles - Oblique joints or diagonal joints - joints having
other orientations relative to linear structures
14- Unfortunately, there is no universally accepted
definition of the term joint. The definition set
down here is conservative in that fractures
satisfying this definition would be called joints
by every other definition of the term - Note that the terms joint system and systematic
joint have different meanings and should not be
confused
15Pinnate (feather) fractures
- Extension fractures commonly develop in
association with shear zones in deformed rocks - Pinnate fractures, or feather fractures, are
extension fractures that form en echelon arrays
along brittle shear fractures - i.e., the extension fractures are parallel to one
another but offset from one another along the
trend of the shear fracture, which is oblique to
the extension fracture plane - The sense of rotation through the acute angle
from the fault plane to the extension fracture
plane is the same as the shear sense on the fault
plane
16Tension Gashes
- Gash fractures are extension fractures, usually
mineral-filled, that form en echelon sets along
zones of ductile shear in the same orientation as
the pinnate fractures - Are generally S- or Z-shaped, depending on the
sense of shear along the zone - The orientation of gash fractures relative to the
shear zone can be used in the same way as feather
fractures to determine the sense of shear on the
associated shear zone - For distinctly S- or Z-shaped gash fractures, the
sense of shear is also indicated by the sense of
rotation of the central part of the fracture
relative to the fracture tips - Extension fractures may also be associated with
other structures, including folds and igneous
intrusions
17Veins
- Veins are extension fractures that are filled
with mineral deposits - The deposit may be massive or composed of fibrous
crystal grains such as quartz or calcite - The fibrous fillings can be very useful in
interpreting the deformation associated with
opening of the vein, as we discuss in detail in
Sections 11.9 and 14.6
18Geometry of Fracture Systems in 3D
- In studying of the origin of fractures in rocks,
we collect data on the spatial pattern and
distribution of the fractures in each fracture
set which includes the - orientation of the fractures,
- scale of the fractures
- spacing of the fractures
- relationship of the spacing to lithology and bed
thickness
19Fractal Geometry
- To the extent that systems of fractures are
characterized by a self-similar geometry,
however, the characteristics of spacing and size
of the fractures are scale dependent and thus
difficult to define precisely, except perhaps in
terms of fractal geometry (See Box 2-1) - Fractal geometry is a branch of mathematics that
identifies and quantifies how patterns repeat
from one scale to another in a system for which
the geometry is independent of scale - Fractures are features that have a fractal
geometry
20- Joints occur in rocks on a vast range of scales
from master joints on the scale of kilometers or
tens of kilometers down to small fractures on the
mm scale - The spacing between joints occurs with a
corresponding range of scales - The ability to describe accurately the
characteristics of joint patterns, is important
in predicting such phenomena as the fluid flow
and storage properties of rock, necessary in
calculating ground water flow and oil flow in
reservoir rock, and the bulk mechanical
properties of rock, important to numerous types
of construction projects - This complexity has lead to the proposal that the
geometry of joint systems is fractal. We first
introduce very briefly what a fractal object is,
and then we describe how the concept of fractals
might be applicable to joint patterns
21What is a Fractal?
- A fractal object is something whose geometry is
scale invariant - The object is also said to be self-similar, which
means that any part of the object viewed at a
particular scale looks similar to the object
viewed at any other scale - Thus, for example, the pattern of joints viewed
from an airplane at the scale of a quadrangle
would look the same as the pattern of joints as
seen close-up in an outcrop
22Orientation of Fractures
- The determination of the preferred orientations
of different fracture sets in a rock is one of
the most common means of studying fracture
systems - To be objective, we should collect the
orientations of all the fractures visible in an
area of outcrop that is large relative to the
spacing between fractures of the most widely
spaced set. To establish regional patterns we
measure numerous exposures over a large area - We correlate fracture sets from one outcrop to
another, assuming that fracture sets are related
if their orientations are the same or are
smoothly and consistently varying - Other criteria, however, such as evidence
establishing the relative timing of fractures,
direction of fracture propagation, and whether or
not the fractures are limited to individual
strata can also be important is establishing
correlations
23Difficulties
- Many fracture planes are curved or twisted,
making it difficult to decide what orientations
are representative, and what range of
orientations are associated with a particular
fracture set - Introducing subjective judgment into the process
of choosing orientations to measure, however, may
introduce bias into the sampling that could
distort the description of the fracture geometry
and could ignore fracture orientations that do
not fit neatly into one of the sets with a clear
preferred orientation
24Warnings!
- Because shear fractures commonly intersect one
another at an angle of roughly 60, it is often
incorrectly assumed that all fractures that
intersect at such an angle are shear fractures - Similarly, the consistent orientation of joints
relative to other structures is often taken to
indicate a genetic relationship - Although such interpretations cannot be ruled out
a priori, they are unreliable unless corroborated
by other evidence (see Box 1-1, 'Correlation vs.
Causation').
25- Some geologists produce detailed maps of all
fractures exposed on a given area of outcrop to
analyze the fracture patterns. - This method, however, produces just a
two-dimensional pattern, and does not record the
three-dimensional orientations of the individual
fractures and fracture sets. - At this point in our understanding, the type of
orientation analysis performed must be chosen to
be consistent with the use intended for the data,
and the geologist must keep in mind the
limitations and potential biases of different
data gathering methods
26Fracture sets and events
- More than one orientation of fracture may be
associated with a single fracturing event - Genetically related fractures may differ in
orientation as a result of segmentation and
twisting of the fracture plane, curving of the
plane, reorientation of the fracture into
parallelism with a local planar weakness in the
rock, or branching of the fracture into two or
more orientations - Some fractures may be of only local extent and
may even result from human activity such as
excavation or blasting. Careful study is
required to identify the significant data
27- The orientation of genetically related fractures
may differ from one lithology to another on the
other hand, the fractures in layers of different
rock types may result from different events - Orientation data on fractures are conveniently
collected and compared by using orientation
histograms, rose diagrams, or spherical
projections
28Scale and Shape of Fractures
- Individual fracture planes have definite tip
lines where the fracture ends - Field observations indicate that a joint may
terminate by simply - dying out
- curving and dying out
- kinking and dying out
- twisting and segmenting into an en echelon set of
small extension fractures - branching and dying out
- curving into a preexisting joint
29- These intersecting and branching relationships
may result from joints developed at different
times - The amount of displacement across the joint
decreases toward the joint termination - In a given joint set, individual joint traces or
joint zones range in length from a few
centimeters to many metersand even up to
kilometers in the case of master joints.
Fractures also exist at scales as small as the
microscopic level such fractures are better
referred to as microfractures than as joints
30Shape of Individual Joints
- Depends largely on the rock type and on its
structure - In uniform rock, such as granite, argillite, or
thin-bedded rocks of uniform composition, the
boundary of an individual joint plane tends to be
roughly circular to elliptical in shape, with the
long axis horizontal - In sedimentary sequences involving rocks of
highly different mechanical properties, such as
interbedded sandstone and shale, one dimension of
a joint is commonly constrained by the upper and
lower contacts of the bed in which the joint
forms, and the joint tends to be of much greater
extent parallel to bedding than across it - Joints in individual beds of one lithology often
end against beds of another lithology - The shape of master joints is not well known
because of the difficulty of seeing the third
dimension. In areas of great vertical relief,
however, joints can be traced to a depth of more
than 1 km
31Spacing of Fractures
- The spacing of fractures in a systematic set can
be measured either as the average perpendicular
distance between fractures or the average number
of fractures found in a convenient standard
distance normal to the fractures - Such spacing measurement should be done only on
joints of similar scale, because in some systems
at least, the spacing is dependent on the size
(length) of the joints (see Box 2-1) - The average spacing of joints of a given scale
tends to be remarkably consistent, and it depends
in part on the rock type and on the thickness of
the bed in which the fractures are developed
32Spatial Pattern and Distribution of Fracture
Systems
- The most useful method of studying the pattern
and distribution of fracture sets is to plot maps
of the location and orientation of the fractures.
- In areas of very good exposure, it may be
possible to map joints individually and to trace
out the relationship of joints to one another and
to lithology, and to analyze the anisotropy of
the fracture pattern, the connectivity of the
fractures, or their geometry. - On such maps, we can also plot the strikes and
dips of the fractures, their relationship to
other local structures, and the amount and
direction of shear (if any) on the fractures
33Form lines (Trajectories)
- In most cases, there is neither enough exposed
rock nor enough time available to permit such
detailed mapping - Usually data from outcrops scattered over a large
area are plotted on a map - From these data one constructs form lines, or
trajectories, of the individual joint sets by
correlating and matching the sets from one
outcrop to the next and assuming the strikes of
joints in the same set vary smoothly if at all
from one outcrop to the next - Figure 2.12 shows such a map for an area on the
Appalachian plateau. The consistency of
orientation of joints over such large areas
indicates that they record regional tectonic
conditions
34Features of Fracture Surfaces
- The features on the surface of a fracture can
provide information critical to interpretation of
the fractures origin - Many joints display a regular pattern of subtle
ridges and grooves called hackle that diverges
from a point or a central axis - The pattern is known as plumose structure or as a
hackle plume, named for its resemblance to the
shape of a feather - Plumose structure is present on joints in a
variety of rock types, but it is most clearly
displayed in rocks of uniform fine-grained
texture, when the surface is illuminated at low
angles
35- Fringe faces at the edge of a joint should not be
confused with pinnate fractures and gash
fractures, even though they are all extension
fractures that form en echelon arrays - Fringe faces usually make a considerably smaller
angle with the main joint face than pinnate or
gash fractures make with the shear surface - Moreover, in three dimensions, fringe faces are
restricted to the edge of a joint surface, which
commonly displays plumose structure, whereas
pinnate and gash fractures occur along the entire
shear fracture
36Rib Marks
- In some cases, curvilinear features called rib
marks and ripple marks cross the lines of hackle
on the fracture face - The rib marks either are cuspate in cross section
(Figure 2.14B) or are composed of smoothly curved
ramps connecting adjacent parallel surfaces of
the joint face (Figure 2.14C see also Figure
2.13B) - They tend to be perpendicular to the hackle lines
- The ripple marks are rounded in cross section and
oblique to the hackle lines (Figure 2.14D)
37Kinematics
- Plumose structure is a unique feature of brittle
extension fractures that distinguishes them from
shear fractures - The direction of divergence of the hackle lines
is the direction in which the fracture
propagated, and the lines of hackle form normal
to the fracture front and parallel to the local
propagation direction of the fracture front - When traced back along the plume axis, the hackle
is usually found to radiate from a single point,
which is the point of origin of the fracture - Rib marks are interpreted to be arrest lines
where fracture propagation halted temporarily - Ripple marks are interpreted to form during very
rapid fracture propagation, in which case they
are called Walner lines - By careful study of the surfaces of joints,
therefore, we can learn a great deal about where
fractures initiated and how they propagated
38Slickenside Lineation
- In some cases, a fracture displays slickenside
lineations on its surface, indicating that shear
has occurred on the fracture - Slickenside lineations are either parallel sets
of ridges and grooves, light and dark streaks of
fine-grained pulverized rock, or linear mineral
fibers - Because extension fractures commonly accumulate
small amounts of shear displacement during
tectonic movements subsequent to their formation,
such displacements do not necessarily, but may,
indicate that the fracture formed by shearing
39Mineral Deposits
- Joints and other fractures may have a thin
mineral deposit such as quartz, feldspar,
calcite, zeolite, chlorite, or epidote along
their surfaces. - These mineral layers indicate either that the
fracture was open or that fluids under pressure
were able to force it open, flow along the
fracture, and deposit minerals from solution - In some cases, a fracture is clearly associated
with a zone of alteration in the surrounding
rock, indicating diffusion of material into or
out of the rock surrounding the fracture. Some
joints have been affected by dissolution
resulting in open fissures
40Timing of Fracture Formation
- The interpretation of the development of fracture
sets relies on determination of the timing of
their formation relative to other fracture sets
and structures. Although these relationships are
often ambiguous and difficult to sort out,
especially for extension fractures, we can make a
few generalizations - Where more than one set of joints are developed,
younger joints must terminate against older
joints, because an extension fracture cannot
propagate across a free surface such as another
extension fracture
41- In Figure 2.3B, for example, the nonsystematic
joints are clearly younger than the systematic
ones - Many such terminations are at a high angle,
forming T-shaped intersections, and the younger
extension fracture may curve toward a high-angle
intersection where it approaches an older
fracture - Low-angle intersections also occur in some joint
systems - Where two fractures each curve toward a high
angle intersections with the other, the fractures
must be coeval
42- Analyzing the abutting relations of extension
fractures in a complex fracture pattern can
reveal the sequence of development of fractures
in the system. Such an analysis is illustrated
in Figure 2.15. - In the complete fracture map (Figure 2.15A), the
abutting relations are used to assign each
fracture to the oldest possible generation - Note that the earliest generation of fractures
forms a highly ordered pattern of systematic
fractures that are long, parallel, and poorly
interconnected (Figure 2.15B). - Subsequent generations of fractures are shorter,
less systematic, and tend to abut older fractures
to form polygonal blocks. Younger generations of
fractures progressively increase the connectivity
of the fracture system
43- This type of analysis only works for systems of
extension fractures in which there has been no
healing of fractures by mineral deposition - The progressive fragmentation of the rock with
the addition of subsequent generations of
fractures, rather than the progressive
development of several sets of systematic joints,
suggests that healing of earlier fractures may be
important in developing a joint system consisting
of multiple sets of systematic joints
44Cross-cutting Joints
- In many cases, joints cross-cut one another, a
relationship that cannot be interpreted in terms
of relative timing of fracture formation - This relationship can arise in several ways
- If the first-formed joint is closed and has a
high pressure keeping the joint faces together at
the time a later joint forms, the later joint may
be able to propagate across the earlier closed
joint - If the first-formed joint is cemented by mineral
deposits, it no longer acts as a free surface,
and a later joint can cut across the older one
45Synchronous Joints
- Two joint sets could, in principle, also form
during the same fracturing event - For example, one set of joints could originate in
one orientation at the top of a layer and
propagate down, while another set of joints could
originate in another orientation at the bottom of
a layer and propagate up (Figure 2.17C) - Their intersection would then show inconsistent
relative-age relationships, because at different
points along the intersection, the hackle lines
would indicate that different joints had formed
earliest - A similar fracture geometry would be created if
two pairs of coplanar joints formed at the same
time and place (Figure 2.16D)
46Fractures and Sediments
- Several structures indicate that extension
fractures can form in sediments before they have
consolidated into rock - When such fractures form before the deposition of
overlying sediments, the open fractures may be
filled by the sediment subsequently deposited on
top - Mudcracks are one obvious example. If a steeply
dipping fracture forms in uncompacted sediments
and becomes mineralized before compaction is
complete, the mineralized fracture may form a
series of folds to accommodate the shortening
associated with the subsequent compaction of the
sediment
47- Extension fracturing of unconsolidated sediment
in the presence of high pore fluid pressure can
result in the formation of clastic dikes - The opening of the fracture creates a
low-pressure area into which pore fluid rushes,
carrying unconsolidated material of contrasting
lithology - The existence of such structures proves that some
joints, at least, can form very early in the
history of a rock
48Cross-cutting Relationships
- Fractures that cross-cut a geologic boundary or a
geologic structure clearly postdate the formation
of that boundary or structure - For example, a joint set that cuts across an
intrusive contact is younger than the intrusive
event, and joints that maintain a constant
orientation across folded layers must have formed
after the folding - Fractures that are clearly affected by a geologic
structure are older than that structure. A joint
set that changes orientation over a fold but
everywhere maintains the same angular
relationship with the bedding could either
predate or be synchronous with the folding, but
it is not likely to be younger
49- If one set of joints is consistently mineralized
or has igneous rocks injected along the
fractures, then it must be older than the
mineralizing or intrusive event - If a second set of joints in the same rocks is
free of the mineralization or intrusion, then it
probably formed after the mineralizing or
intrusive event - Applying criteria such as these has shown clearly
that joints can form at any time in the history
of a rockfrom the earliest time, when the
sediment has not yet consolidated, to the latest
time when the joints postdate all other
structures in the rock. It is likely, therefore,
that more than one mechanism produces joints. We
discuss possible mechanisms in Chapter 9
50Fractures Associated with Faults
- Fractures often form as subsidiary features
spatially related to other structures. If such a
relationship can be documented, the fractures can
provide information about the origin of the
associated structure - In some cases, faults are accompanied by two sets
of small-scale shear fractures at an angle of
approximately 60 to each other with opposite
senses of shear - These are called conjugate shear fractures
51Conjugate Fractures
- Figure 2.17 shows data for a system of conjugate
fractures that developed in an area closely
associated with a known fault. - The rose diagram shown in Figure 2.17B is plotted
in the vertical plane normal to the strike of the
fault, and the distribution of fracture dips is
plotted below the horizontal line. The
orientation of the fault is also indicated on the
figure. The major set of fractures is clearly
parallel to the fault the second and less
well-developed set is approximately 65 from the
first set - Extension fractures associated with faulting
include pinnate fractures and gash fractures,
which were described in Section 2.1
52Fractures Associated with Folds
- Fractures often develop in rocks in association
with folding - It is convenient to refer the orientations to a
mutually orthogonal system of coordinates (a, b,
c) related to the fold geometry and the bedding.
The b axis is parallel to the fold axis, which in
general is the line about which the bedding
planes are folded (Figure 2.18) - A line parallel to the fold axis is parallel to
the bedding regardless of where on the fold it
lies. Thus the b axis has a constant orientation
for all the (a, b, c) axes. The c axis is
everywhere perpendicular to the bedding, and the
a axis lies in the bedding plane perpendicular to
the fold axis (b) and the c axis
53- Figure 2.18 is a diagrammatic illustration of the
orientations of fractures that have been reported
from folds - Fractures parallel to the plane of the a and c
axes and to the plane of the b and c axes are
called ac fractures and bc fractures,
respectively - The fractures shown in sets (A), (B), and (D) in
Figure 2.18 are all perpendicular to the bedding.
In sets (A) and (B), the ac fractures or the bc
fractures, respectively, bisect the acute angle
between the two other fracture sets, which are
oblique fractures. In set (D), the bc fractures
bisect the obtuse angle between the oblique
fractures. The inclined fractures in sets (C)
and (E) are parallel to the fold axis b. Those
in set (C) make a low angle with bedding, and
those in set (E) make a high angle with bedding
54Caution!
- It is possible that the fractures of all these
orientations formed in association with folding,
that the ac and bc fractures are extension
fractures, and that the oblique and inclined
fractures are shear fractures - That interpretation is not justified, however,
simply on the basis of fracture pattern and
orientation. Such fractures have been shown to
predate the folding in some cases, and to
postdate it in others, and as we have remarked
before, the presence of shear displacement on a
fracture does not necessarily mean that the
fracture originated as a shear fracture - In order to make a well-documented interpretation
of complex fracture systems, it is critical to
describe all the characteristics that we have
discussed for the various fracture sets. This
includes citing specific evidence for extensional
or shear displacement and fracturing, the spatial
distribution of fractures, and evidence
suggesting the relative sequence of formation of
the fractures in different sets
55Fractures Associated w/ Igneous Intrusions
- Fractures can form in association with igneous
intrusions, and some types occur only within the
igneous rock - We have already described columnar jointing in
sills and thick flows and sheet joints or
exfoliation joints in plutonic rocks - In many cases, the internal structure of plutonic
rocks is related in a simple manner to the
orientations of other fractures that develop.
Especially near the margins of plutonic bodies,
platy minerals such as mica and tabular mineral
grains may be aligned parallel to one another,
creating a planar structure in the rock called a
foliation - Elongate mineral grains also may he aligned
parallel to one another within the foliation,
creating a linear structure called a lineation
56- We can describe the orientations of fractures
with respect to these structures by again using
coordinate axes (a, b, c) where a is parallel to
the lineation, b lies in the foliation
perpendicular to a, and c is perpendicular to the
foliation. Joints commonly form parallel to c
and thus perpendicular to the foliation - If they are also parallel to the lineation, they
are referred to as ac joints if perpendicular to
the lineation, they are called cross joints or bc
joints - Diagonal joints also occur, usually at an angle
of about 45 to the lineation and normal to the
foliation. Cross joints (bc) typically contain
pegmatite dikes or hydrothermal deposits