"All geodynamic processes should be explained
by the fundamental principle of the strive for gravitational equilibrium"
(Ann. Soc. Geol. Belge Bull. 64 (1965) 95-123,
as cited in Rey, Vanderhaeghe, Teyssier, 2001)
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Satellite image of the Tibetan Plateau
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Evolution of the Concept of Gravitational CollapseThe concept of gravitational collapse began to take shape in the early to mid part of the last century when it was first recognised that large scale gravity-driven flow could be responsible for the horizontal spreading and vertical shortening of an entire thickened crust. During the 1960's and 1970's, the concept of gravitational collapse took a back seat to the burgeoning theory of plate tectonics. This was partly due to the early terminology being different from that in use in later years.. Early pioneers in the field, such as Jeffreys, van Bemmelen, Bucher, Ramberg and others, varioulsy described the mechanisms involved in gravitational collapse, but had no formal terminology to emody this new theory. The 1980's saw a re-emergence of the concept of gravitational collapse wtih the discovery of "surface extension in the same direction as compression driven by active lithospheric plate convergence." (P. Rey et al, 2001) The role of gravity on tectonic processes was reassessed, and it became accepted that, along with the relative displacement of neighbouring plates, lateral variation in the gravitational potential energy could also cause lithospheric deformation. This coupling of ideas allowed the tectonic regimes seen in the Western United States and Tibet to be explained. |
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A pictoral representation of the Tibetan Plateau.
The dark arrows show the direction of movement of the Eurasian and Indian
continental plates. |
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Tectonic Thickening of the Continental CrustCrustal thickening initiated by tectonic forces, can arise from continent/continent collision, or from subduction processes. During continent-continent convergence, both of the crustal plates are too buoyant in relation to the underlying lithosphere for either one of them to sink below the other. The two masses become compressed, and a high mountain belt will form by folding, thrust faulting, and doubling of the crustal layers as one continent is thrusted on top of the other. The Himalayan mountain belt and the Tibetan plateau is the largest manifestation of this ongoing process of collision between the Indian and the Eurasian continental plates.
During the convergence of oceanic and continental plates, the less-dense continental plate will override the denser subducting oceanic plate. The continental margin will be deformed into a folded mountain belt, with volcanic activity contributing to the growth of the mountain belt.
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Forces Acting On The Thickened CrustThere are several main physical factors that are associated with gravitational collapse of a thickened continental lithosphere. These are: Isostacy, Gravitational Potential Energy, Gravitational Force, and Strength. Isostasy The theory of isostasy states that the mass per unit area of two columns of rock that are above a certain level are equal (*) This level is called the isostatic compensation level. In the case of a thickened crust, we place the isostatic compensationl level below the root of the thickened lithosphere. At this level, the columns are in isostatic equilibrium. Isostatic equilibrium is distinct from mechanical equilibrium. Mechanical equilibrium is where the sum of the forces exerted within a system are equal to zero. Isostatic equilibrium does not imply mechanical equilibrium due to the lateral variations of density along the two columns which produce variations in GPE.
Gravitational Potential EnergyGPE is energy that an object has due to its position in a gravitational field.PE(g) = m. g. y. Where m = mass of an object g = acceleration due to gravity y = distance of the object above some reference level This is seen in columns B and C in the diagram above, where there are lateral variations of GPE. This is given by the lateral variations of density along an equipotential surface that produces gravitational forces within the lithosphere. The difference of GPE in the two columns will determine if there will be extension or contraction. The GPE of the column with the higher lithospheric pressure, that is, the vertical stress due to the weight of the overlying rock is equal to the density x gravitational force x depth. The difference in the GPE of the two columns is the integral, from the top of the column, to the bottom (the compensation level), of the lithospheric pressure of those columns as a function of depth.
If the column with the higher lithospheric pressure has an excess of GPE the gravitational force will drive extension (P. Rey et al 2001, Page 442) Gravitational Force (Fg)Gravitational force is where gravity produces motion in a body.* This force is different to tectonic forces. Tectonic force produces motion in a body via tectonics, where the driving mechanism is not where an object experiences acceleration under the influence of the Earth's mass, but rather convection of heat and material in the mantle.The difference in the GPE of the two columns will also be the gravitational force that the two columns apply to each other. Lithospheric Strength and the Argand RatioThe gravitational force (Fg), however, must be greater than the resistance forces to produce lateral extension. These resistive forces include the tectonic force (resistive due to its opposing direction, and therefore sign), and the strength of the surrounding lithosphere. (P. Rey et al 2001, Page 440)The strength of the crust plus the mantle, is its amount of natural resistance to pressure. When the pressure exerted by the gravitational force exceeds the natural resistance and other resistive forces, lateral spreading will occur. (P. Rey et al 2001, Page 439) Strength varies due to temperature and depth. Material becomes weaker as the temperature increases, and the temperature increases with depth. Pressure increases with depth. Depth can also be an independent factor for a rheological strength. The more stress that is placed upon the material, the closer the total amount of forces come to exceeding the material's strength. The strength profile of a thickened crust is different to an average crust due to the difference in the amount of crust and mantle. The ratio of the gravitational force to strength controls the rate of collapse of the thickened crust when the strength of the deforming lithosphere is the sole force which opposes collapse.(P. Rey et al 2001, Page 439). This ratio is called the Argand ratio where,
As we can see, there are a number of factors acting upon our thickened lithosphere, They are isostasy, GPE, Gravitational Force and Strength. These are all playing a role in our system. We can thus say that we have a system that is not in mechanical equilibrium. So how does it reach mechanical equilibrium? We will see in the next section. |
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Indications of gravitational collapse in the Field
Up until now we have been talking in terms of theories and experimental results, how then does this translate into the reality? Throughout the world there are a number of geologically significant sites that display physical structures believed to be examples of the processes of gravitational collapse discussed in this paper. The Himalayan Mountains are among the most famous. These mountains run from east China to the straits of Gibraltar and are the result of a thickening lithosphere of Mesozoic of Tertiary origin. With an average elevation of 5000m above sea level and a width of 250km, it contains the highest mountain in the world Everest. 3,000,000km² of this region is the Tibetan Plateau situated at about 5,400m 30°-40°N and 80°-100°E.
There are further mountain ranges to the north, the Tein Shan and the Altai, which are also part of the same thickening zone. Another area of interest is in Southwest in places called the Basin and Range, the Great Plains, the Coast Ranges and the Traverse ranges. (P.England p.276) lying above 1500m. Previously gravitational collapse has been discussed as a result of structural strength, gravitational force, GPE and isostacy. These figures rely on measurements of the density, thickness of lithosphere and depth of Moho. The crust has a constant density of 2800kgm³ and the mantle 400-500kgm³, which translates to a root requirement of 5-7km: 1km of mountain range above sea level. Tibet’s total crustal thickness (root included) should theoretically be about 60-75km. This can be tested seismically by refraction studies to discover the Moho, which comes to 55-70km in Southern Tibet. Methods of analyzing gravitational collapse:
www.es.usyd.edu.au/geology/people/staff/prey/Teaching/Geol-2001GPHS/index.html Seismology is the study of the normal, reflected, refracted and rarefracted primary and secondary waves produced by the mechanical failure of fault zones. Commonly known as earthquakes these seismic disruptions propagate through the earth’s layers in different ways making analysis of the different layers possible and more importantly the depth of the Moho can be deducted. These P and S waves also give information on the kinematics of the fault responsible for the earthquake. Basically P waves or the first motion of the earthquake propagate in such a way that when data from two locations is triangulated the focus of the earthquake can be determined. S waves have shadow zones on the opposite of the earth(between 105 degrees) as they cannot travel through the liquid mantle. P waves can but are refracted at an angle (105-143 degrees are shadow zones). The P waves can also give information on the nature of a fault, as they travel more strongly in one direction of extension or compression depending on their nature. These then can be graphically represented as ‘beach balls’, which correspond with normal, thrust or transform. The white areas are compression and the black extension. In the beach ball diagram of Tibet we can see along the top and bottom boundary thrust faults. Theoretically if only tectonic forces were acting then only trust fault should be in a region of continental convergence as seen here with the collision of the Indian and Eurasian plates. But in the Plateau region we also see normal faults indicating east-west extension.(P.England p.285) These extensional fractures are some of the most characteristic features of gravitational collapse in the field.
Features of gravitational collapse:
In the last section the issue of different types of collapse was raised. Fixed and free boundary collapse are processes which produce individual features that can be used to identify the sub-terrainian movement.(Diagrams displayed in previous section)(P.Rey et al p.444). Fixed boundary collapse
Fans (thrust faults), a thickening of the forelands and little deformation of the ductile basement.
recognised in a widening of the plateau, thickening of crustal forelands with no associated thrusting. No normal faults or fan features are evident but there is crustal thinning i.e. sedimentation occurs as the area is lower than the surrounding.
brittle crust and the ductile basement giving the faulting patterns of the first and the crustal thinning of the second. This tends to promote partial melting and low pressure, high temperature metamorphic facies as blue shist and glauco-lauconite facies. Free -boundary collapseIs the thinning of the entire thickened crust not just sections bounded by faults and inconsistencies. There are normal faults/extensional fractures in the brittle upper crust and ductile flow of the basement. There is usually low angle detachment and dècollement marks the change between these two layers and no flow of material outside of the region.(P.Rey et al p.445) The basin and Range Province in America is believed to be a thickened unit currently under the process of free boundary gravitational collapse. It was formed in the Cainozoic and displays the graben and horst features common in this type of deformation.
From the air it looks like this with the lines showing the areas of subsidence and elevation of the blocks. A cross section of this area would show the classical v shaped fracture zones with strike-slip movement. Over time these feature become more pronounced. This process is deforming the Basin and Range Province at present. This applies as well to Tibet as one of its major features is the Guzuo graben northwest of Mt Everest .
Other methods of identification:
There are other methods of identification using empirical evidence, logical assumptions and mathematical extrapolations based on the experimental results. Extensional faulting brings deeply buried rocks to the surface (P.England p.297) allowing the analysis of metamorphic peaks and zircon dating of these, history and folding events which give insight into the strengths and depth of the rock at the times of multiple deformation events. This is helpful for the studying the gravitational collapse’s history where a site has already been identified but what about a suspected case? At present the best that can be used is numerical modeling (p.rey p.78), metamorphic core samples and satellite images. Satellite images give some indication of the extent of faulted areas, basins forming and other tectonically anomalous macro features, which are possibly a result of gravitational collapse. |
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Conclusion Our aim in this report has been to explain how gravity can deform a thickened crust through gravitational collapse. There are two distinct processes of gravitational collapse: Divergent and Convergent. This report has focused on divergent gravitational collapse. We have seen that, after crustal thickening, there are several physical factors that act in conjunction to deform the crust through gravitational collapse, these being Isostasy, Gravitational Potential Energy, Gravitational Force and Strength. We have seen that there are two modes of lateral extension of the thickened crust through gravitational collapse, and this depends on the physical boundary conditions. In fixed-boundary collapse, energy is transferred from regions of high potential energy to regions of low potential energy. We therefore see lateral growth of the orogen. In free-boundary collapse, any lateral variations in potential energy are reduced due to the displacement of a free boundary under the action of gravitational forces. (Rey et al. 2001). We therefore see thinning of the entire orogenic domain. We have concluded our report with physical examples of divergent gravitational collapse, as seen in Tibet and the south-western United States. |
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