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A detachment fold, in
geology Geology () is a branch of natural science concerned with Earth and other astronomical objects, the features or rocks of which it is composed, and the processes by which they change over time. Modern geology significantly overlaps all other Ear ...
, occurs as layer parallel thrusting along a decollement (or detachment) develops without upward propagation of a fault; the accommodation of the strain produced by continued displacement along the underlying thrust results in the folding of the overlying rock units. As a visual aid, picture a rug on the floor. By placing your left foot on one end and pushing (with your left foot) towards the other end of the rug, the rug slides across the floor ( decollement) and folds upward (detachment fold). Figure 1, is a generalized representation of the
geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
assumed by a detachment fault.


Definitions

Detachment folding occurs as strain imposed on a mechanically weak layer or incompetent unit, such as
shale Shale is a fine-grained, clastic sedimentary rock formed from mud that is a mix of flakes of clay minerals (hydrous aluminium phyllosilicates, e.g. kaolin, Al2 Si2 O5( OH)4) and tiny fragments ( silt-sized particles) of other minerals, especial ...
or
salt Salt is a mineral composed primarily of sodium chloride (NaCl), a chemical compound belonging to the larger class of salts; salt in the form of a natural crystalline mineral is known as rock salt or halite. Salt is present in vast quantiti ...
, or at the boundary between an incompetent and more competent unit, induces resistance from the units resulting in folding typically observed in the competent unit.Homza, T. and W. Wallace (1995)
Geometric and kinematic models for detachment folds with fixed and variable detachment depths
'' Journal of Structural Geology, 17/4: 575-588
Hayes, M. and C. Hanks (2008)
Evolving mechanical stratigraphy during detachment folding
'' Journal of Structural Geology, 30: 548-564
Mitra, S. (2003)
A unified kinematic model for the evolution of detachment folds
'' Journal of Structural Geology, 25: 1659-1673
Once the resistance of these units is overcome with strain or the variation in strain between the units becomes great enough, a shearing motion known as a detachment fault may occur. Defined, a detachment fault may be located within an incompetent unit or at the boundary of an incompetent and a competent unit, which accommodates for strain differences between the units and allows displacement to occur in a planar field.Mitra, S. (2002)
Structural models of faulted detachment folds
'' American Association of Petroleum Geologist Bulletin, 86/9: 1673-1694
Stewart, S. (1996)
Influence of detachment layer thickness on style of thin-skinned shortening
'' Journal of Structural Geology, 18/10: 1271-1274
Detachment folding occurs in regions of thick-skinned deformation, where the basement is involved in deformation and
thin-skinned deformation Thin-skinned deformation is a style of deformation in plate tectonics at a convergent boundary which occurs with shallow thrust faults that only involves cover rocks (typically sedimentary rocks), and not deeper basement rocks. The thin-skinned ...
, where deformation occurs at relatively shallow depth in the crust.


Modes of detachment folding

One of the principal ideas that should be recognized in each model is the law of conservation of volume, as conservation is a fundamental law in
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which re ...
; it should also apply to geology. Two ways to maintain volume conservation are thickening of units and synclinal deflection of incompetent material; it is likely that both may occur. J. Contreras (2010) developed a model for low amplitude detachments using the
conservation of mass In physics and chemistry, the law of conservation of mass or principle of mass conservation states that for any system closed to all transfers of matter and energy, the mass of the system must remain constant over time, as the system's mass can ...
equation. The results suggest the occurrence of layer thickening as an initial response to shortening and volume conservation.Contreras, J. (2010)
A model for low amplitude detachment folding and syntectonic stratigraphy based on the conservation of mass equation
'' Journal of Structural Geology, 32, 566-579
Hayes and Hanks (2008) confirm layer thickening during the onset of folding, specifically their field data places the thickening at the hinges of folds rather than the limbs. When defining the geometry of detachment folding it may be necessary to define layer thickening as it has been recorded to affect the overall geometry.Hardy, S. and Poblet, J. (1994)
Geometric and numerical model of progressive limb rotation in detachment folds
'' Geology, 22, 371-374
Though variable limb thickness is assumed; over time, limb rotation and limb length become the dominant mechanisms for deformation, leading to an increase in fold amplitude. Synclinal deflection, Figure 2, is the result of folding where synclines, adjacent to an
anticline In structural geology, an anticline is a type of fold that is an arch-like shape and has its oldest beds at its core, whereas a syncline is the inverse of an anticline. A typical anticline is convex up in which the hinge or crest is the ...
in fold geometry, extend into the lower incompetent unit; these typically occur in regions of high wavelength and low amplitude. The occupancy of this area causes displacement above the detachment in the form of material migration to the anticlinal core.Wiltschko, D.V. and Chapple, W. M. (1977)
Flow of weak rocks in Appalachian Plateau folds
'' American Association of Petroleum Geologists Bulletin, 61, 5, 653-669
Withdrawal from the regional position is dependent on thickness and
viscosity The viscosity of a fluid is a measure of its resistance to deformation at a given rate. For liquids, it corresponds to the informal concept of "thickness": for example, syrup has a higher viscosity than water. Viscosity quantifies the in ...
differences between the competent and incompetent units as well as the ductile nature of the incompetent unit, like Contreras, recognized a transition from unit deflection and material migration, to limb rotation and limb lengthening.


Detachment fold evolution

Though many models have been developed to help explain the
kinematic Kinematics is a subfield of physics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move. Kinematics, as a fi ...
evolution of single layer detachment faulting;Dalstrom, C. D. C. (1990)
Geometric constraints derived from the law of conservation of volume and applied to evolutionary models for detachment folding
'' American Association of Petroleum Geologists Bulletin, 75, 3, 336-344
Suppe, J. (1983)
Geometry and kinematics of fault-bend folding
,'' American Journal of Science, 283, 684-721
Mitchel, M. M. and Woodward, N. B. (1988)
Kink detachment fold in the southwest Montana fold and thrust belt
'' Geology, 16, 162-165
Poblet, J. and McClay, Ken. (1996)

'' American Association of Petroleum Geologists Bulletin, 80, 7, 1085-1109
many models do not account for multiple layers, complex fold geometries or differential strain through fold geometries or mechanically dissimilar stratigraphic units. These models may not be good indicators of detachment folding on a large scale and are better suited to assist in interpreting fold geometries of detachment folds as their kinematic evolution is generally associated with single fold, single unit deformations. The definition of disharmonic folds (below) however, incorporates many types of symmetric folds over a larger area encompassing many geometries and attributes of the basic models and may be better suited to the application of these models. By incorporating elementary fold geometries under the term disharmonic fold detachment folds may then be classified into one of two categories; disharmonic folds or lift-off folds. Disharmonic folds, Figure 3, are defined as detachment folds characterized by parallel geometries at the outer limbs and non-parallel interlimb geometries at stratigraphically distinct and lower units; caused by differential strain as a result of strain dissipation or change in mechanical
stratigraphy Stratigraphy is a branch of geology concerned with the study of rock layers (strata) and layering (stratification). It is primarily used in the study of sedimentary and layered volcanic rocks. Stratigraphy has three related subfields: lithostra ...
, where the termination of folding typically results in a detachment. Lift-off detachment folds are characterized by isoclinal folding in all units, with a tight isoclinal folded weak unit in the anticline and parallel geometries sometimes existing along the outer units.Hardy, S. and Finch, E. (2005)
Discrete-element modeling of detachment folding
'' Basin Research, 17, 507-520
Present day examples detachment folding can be found in the
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of
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. This region complements the idea of detachment fold evolution put forth by Mitra in that it encompasses many of the basic fold geometries and comprises both disharmonic and lift-off geometries. Disharmonic and lift-off detachment folds are commonly assumed to form by separate modes of deformation; however, Mitra (2003) in a unified kinematic model challenged these ideas by suggesting an evolution of detachment folding wherein progressive deformation yields a fold transition from disharmonic geometry to lift-off detachment folding. While most kinematic models are developed to yield the most simplistic geometries by placing boundary conditions within the model and limiting variables; the unified model incorporates: mechanical stratigraphy parameter limb lengthening, limb rotation, area balancing and anticlinal and synclinal deflection, to develop a system that uniformly demonstrates the evolution of detachment folding. The evolution of detachment folding begins with the model assumption of a low-amplitude and short compressional environment with a mechanically dissimilar incompetent and competent unit. Folding initiates by shortening; limb lengthening and rotation and hinge migration, cause synclinal deflection below its original position accompanied by the flow of ductile material beneath the synclinal trough to the anticlinal core; resulting in increased amplitude of the anticlinal fold.Mitra, S. (2002)
Fold-accommodation faults
'' American Association of Petroleum Geologists Bulletin, 86, 4, 671-693
Further compression dominated by hinge migration, yields tightening of folds and space accommodation issues within the anticlinal core; leading to the formation of disharmonic folds .Hardy, S. and Finch, E. (2005). Discrete-element modeling of detachment folding. Basin Research, 17, 507-520Mitra, S. and Namson, J. (1989)
Equal-area balancing
'' American Journal of Science, 289, 563-599
Epard and Groshong, (1994) recognize a similar pattern to disharmonic folding they label it second-order shortening.Epard, J. L. and Groshong, R. H., Jr. (1994) '' tp://ftp.gps.caltech.edu/pub/avouac/Ge177-2012/Readings/EpardTecton1995.pdf Kinematic model of detachment folding including limb rotation, fixed hinges and layer-parallel strain'' Tectonophysics 247, 85-103 Basic models and experiments Storti, F., Salvini, F., and McClay, K. (1997).
Fault-related folding in sandbox analogue models of thrust wedges
'. Journal of Structural Geology, 19, 3-4, 583-602
as well as concentric fold modelsDahlstrom, C. D. A. (1969)
Balanced cross sections
'' Canadian Journal of Earth Sciences, 6, 743-757
fail to recognize disharmonic folds as they focus on single layer detachment folding, lack the resolution in experimental methods or, though the assumption of multiple units is made, restrict unit parameters which may cause disharmony through deformation. Continued shortening and excess material within the anticlinal core not only results in increased amplitude and disharmonic folds, but may lead to the onset of thrusts out of the folded synclinal or anticlinal regions. Through further deformation by limb rotation and through hinge migration, isoclinal folds eventually assume lift-off geometries. Thrust faults in the synclinal fold, if any formed, may also be rotated to assist in the formation of detached lift-off folds upon further tightening and rotation (figure 4).


Detachment faulting

It is documented in many cases that faulting may develop from detachment folding or through the kinematic mechanisms involved with folding. In general, faulting may occur during fault slip and detachment folding in two ways. Firstly, faulting may be induced when progressive folding or tightening of a folded limb reaches its maximum fold geometry resulting in a transition from folding to shearing. Secondly, it has been suggested a fault may propagate into the anticlinal core if material flow and accommodation space are not at equilibrium. The idea of insufficient material flow may not be as well addressed as faulting due to continued folding and rotation, but the grounds for such an argument lay within a strongly held belief of area conservation; without conservation faulting will likely compensate. The basic geometries of detachment faulting of a symmetric detachment fold are shown in Figure 4. Refer to Mitra for an evolutionary model of faulted detachment folds in the asymmetric and symmetric settings. Faulting may occur in a symmetric or asymmetric fold, yielding fault geometries that are both alike and dissimilar. Faulting in either setting is reliant on the lock-up and strain accumulation of a fold typically at its critical angle. Asymmetric folding develops in the forelimb (the limb furthest from the source of thrust) of the fold and may either absorb strain into or transmit strain through the stratigraphic units composing the fold. A system that absorbs strain is recognized as a trishear zoneZehnder, A. T. and Allmendinger, R. W. (2000)
Velocity field for the trishear model
'' Journal of structural Geology, 22, 1009-1014
being triangular in shape; while a parallel deformation zone transmits shear across the units of the fold and typically takes on the form of a parallelogram or is rectangular in geometry. These two deformation patterns may exist in a single fold and at some time during continued deformation may reconnect with the detachment. It is also the case that a backthrust may occur in an asymmetric fold geometry as shear across the forelimb due to rotation and migration of beds. Symmetric faults were essentially covered previously under the name ‘lift-off’ folds, see Figure 4. Progressive limb rotation and lock-up in a symmetric fold induces shear at both the forelimb and backlimb of the fold which may then result in faults on both limbs causing lift-off. Like the asymmetric fold faulting, as progressive slip along the basal detachment occurs, either the forelimb or backlimb (the limb closest to the source of thrust) thrust may reconnect with the basal detachment. For a more robust definition of faulting reference Mitra 2002.


References

{{Structural geology Structural geology