Available online at www.sciencedirect.com Lithos 102 (2008) 1 – 11 www.elsevier.com/locate/lithos The influence of lithospheric thickness variations on continental evolution Dan M c Kenzie ⁎, Keith Priestley Institute of Theoretical Geophysics, Bullard Labs of the Department of Earth Sciences, Cambridge University, UK Received 21 November 2006; accepted 22 May 2007 Available online 6 June 2007 Abstract The shear wave velocity Vs as a function of depth z can be obtained from surface wave tomography, using the phase velocities of fundamental and higher mode Rayleigh waves. Since Vs is principally controlled by temperature, rather than by composition, it can be used to map the lithospheric thickness. Extensive regions of thick lithosphere underlie some, but not all, cratons. Conversely, thick lithosphere underlies some platforms and belts of active deformation. Because of this lack of correspondence, and because their age cannot be determined from seismology, we refer to regions of thick lithosphere as ‘cores’ rather than ‘cratons’. The shape of such cores has controlled the geometry of continental deformation and the distribution of diamond-bearing kimberlites. The strength of the cores resides in the dry crust, which is insulated from the hot convecting mantle by the thick buoyant lithosphere. The most surprising feature is the presence of thick lithosphere beneath Tibet and Iran, whose velocity structure closely resembles that of the cores beneath cratons, though they have a thicker hotter crust. Tibet and Iran appear to be places where cratons are now being formed. © 2007 Elsevier B.V. All rights reserved. Keywords: Surface wave tomography; Continental geotherms; Tibet; Iran; Formation of cratons; Lithosphere 1. Introduction For at least a hundred years geologists concerned with continental tectonics have recognised the importance of the rigidity of shields and cratons (see reviews by Suess (1909) and Holmes (1965)). Once plate tectonics had been generally accepted, it became clear that the properties of the entire lithosphere beneath cratons were likely to be responsible for their behaviour, rather than those of the crust alone. Detailed studies of the mineralogy of mantle nodules, especially those from diamond bearing kimberlites, have shown that the lithospheric thickness beneath ⁎ Corresponding author. Tel.: +44 1223337191. E-mail address: [email protected] (D. McKenzie). 0024-4937/$ - see front matter © 2007 Elsevier B.V. All rights reserved. doi:10.1016/j.lithos.2007.05.005 some cratons is as great as 250 km, (see Finnerty and Boyd, 1987). However, until recently, there was no method of mapping the three dimensional structure of cratonic lithosphere, partly because large areas of cratons are covered with thin veneers of Phanerozoic sediments. It is then difficult to use geological observations to map the margins of cratons. 2. Determination of lithospheric thickness As so often happens in the Earth Sciences, an advance in technology has produced the key to an old question. In this case the key has been provided by digital seismometers, which have provided broadband records of the ground motion, especially of surface waves. 2 D. M cKenzie, K. Priestley / Lithos 102 (2008) 1–11 The velocity structure of the upper mantle affects the phase velocity of fundamental and higher mode surface waves, and also the travel times of P and S waves from teleseismic sources. Priestley and McKenzie (2002) discuss in detail what constraints such measurements provide on the horizontal and vertical variations in seismic velocity. Because teleseismic ray paths are steeply inclined, the resulting models have excellent lateral resolution but poor vertical resolution. In particular, most of the methods used to invert such measurements remove the average vertical velocity structure, which is therefore unconstrained (see Priestley and McKenzie, 2002). In contrast, surface wave tomography has limited lateral resolution, of 300–400 km in the models discussed below, but excellent vertical resolution, of 30–50 km, especially if both fundamental and higher mode phase velocities are used in the inversion (Debayle and Kennett, 2000; Ritsema and van Heijst, 2000; Priestley and Debayle, 2003). Because of these differences, velocity models based on teleseismic travel time tomography do not in general agree with those obtained from surface wave tomography. In particular, the regional lithospheric thickness cannot be estimated from teleseismic travel time tomography if the influence of the horizontal average of velocity structure is removed during the processing. From a geological point of view, maps of the variation of lithospheric thickness are more useful than those of Vs (z). But it is not straightforward to estimate the lithospheric thickness from Vs(z) or Vp(z). The problem is that the base of the lithosphere does not correspond to a step change in temperature or composition, and is therefore not associated with a change in velocity. Therefore in general no conversion occurs, from P to S or from S to P, when seismic waves cross the base of the lithosphere, which cannot be mapped using receiver functions. What does change rapidly over a limited vertical distance at the base of the lithosphere is the temperature gradient. Since Vs is more sensitive to temperature than is Vp, and since the phase velocities of surface waves are more sensitive to the S wave velocity than they are to that of P, Priestley and McKenzie (2006) used Vs(z) to estimate the lithospheric thickness. They first parameterised the dependence of Vs on pressure and temperature using Vs ¼ Vs ð P; h; aÞ ð1Þ where P is the pressure, θ the temperature in °C and a is a variable describing the activation process a ¼ A Vexp ð E þ PVa Þ=RT ð2Þ where A′is a frequency factor, E the activation energy, Va the activation volume and T is the temperature in Kelvin. It is convenient to remove the nonactivated part of the pressure dependence of Vs by writing Vs4 ¼ Vs =ð1 þ bv ð z 50ÞÞ ð3Þ where z is the depth in km and bV is an empirical constant. Then Vs4 ¼ mh þ c þ A exp ½ð E þ PVa Þ=RT ð4Þ The values of the constants obtained by Priestley and McKenzie are bV ¼ 3:84 104 km1 ; m ¼ 2:8 104 km s1 -C1 c ¼ 4:72km s1 ; A ¼ 1:8 1013 km s1 E ¼ 409kJ mol1 ; Va ¼ 10 106 m3 mol1 u10cm3 mol1 ð5Þ Eqs. (3) and (4) can be inverted to give T (Vs) using Newton-Raphson iteration. In continental regions, values of Vs(z) were used to obtain T(z) at intervals of 2° in latitude and longitude, and at depth intervals of 25 km. These profiles were then fitted to a geotherm, calculated using the methods outlined by McKenzie et al. (2005), and using an interior potential temperature of 1315 °C. The average potential temperature of the mantle is constrained by the average thickness of the oceanic crust of 7 km, whose thickness changes by 1 km when the potential temperature changes by 13 °C (McKenzie et al., 2005). Because the oceanic crustal thickness is independent of location and of the age, and only has a standard deviation of about 1 km, the potential temperature of the mantle is constrained to be 1315 ± 13 °C. McKenzie et al.'s approach assumes that the thermal structure of the lithosphere is controlled by local processes; heat generation in the crust, transport of heat by conduction through the mechanical boundary layer and by advection and conduction in the thermal boundary layer below. They assumed that it is the large scale mantle circulation that keeps the average potential temperature beneath oceans and continents constant. Recent large scale modeling of mantle convection in the presence of thick undeformable continental lithosphere (Cooper et al., 2004) generates continental geotherms that agree with those calculated by McKenzie et al. (2005) if the thermal conductivity is taken to be independent of temperature and the mantle is assumed to be incompressible, when the potential and real temperatures are the same. Both McKenzie et al. (2005) and Cooper et al. (2004) assume that the depleted shallow D. M cKenzie, K. Priestley / Lithos 102 (2008) 1–11 part of the continental lithosphere remains attached to the continental crust and is not removed by the small scale convective instabilities that control the thickness of the thermal boundary layer. Whether this behaviour occurs depends on the difference in density between depleted and fertile peridotite and on the viscosity of the thermal boundary layer. Lenardic and Moresi (1999), Sleep (2003) and Lee et al. (2005) have investigated this question, and argue that the depleted layer is likely to remain attached. For various reasons estimates of T(z) obtained from Vs(z) are more accurate at high temperatures near the base of the lithosphere than they are near the Moho. The velocities at depths of less than 100 km are lower than their true values because they are influenced by the lower velocities of the crust. This effect causes the estimated temperatures to be higher than the true values. The temperature estimates are more accurate at high temperatures than they are at low temperatures, because |∂Vs/∂T| increases with increasing temperature. Therefore only those values of T(z) that exceeded 1100 °C at depths of 125 km or more were used to obtain the geotherms and to estimate the lithospheric thickness. Priestley and McKenzie (2006) also calculated profiles of Vs(z) for their thermal models, most of which show no obvious change in Vs at the base of the lithosphere where there is a change in the temperature gradient. The geotherms obtained from Vs(z) were used to estimate the depth of the graphite–diamond phase change and the thickness of the lithosphere in the diamond stability field, using the phase boundary given by Kennedy and Kennedy (1976). The depth of the graphite–diamond phase change is about 140 km where the lithospheric thickness exceeds 200 km. Estimates of lithospheric thickness from Vs and from the nodule mineralogy (Brey and Kohler, 1990) are independent and agree to within about 25 km (Priestley and McKenzie, 2006). Figs. 1–5 show contours of the lithospheric thickness beneath all continents except South America and Antarctica. The path coverage of these two continents is not yet sufficient to allow satisfactory maps to be produced. 3. Lithospheric thickness variations If diamonds in kimberlites are lithospheric xenocrysts, they should only be present where kimberlites erupt through regions where the lower part of the lithosphere is in the diamond stability field. The map of lithospheric thickness beneath Africa (Fig. 1) shows that most of the diamond-bearing kimberlites satisfy this condition. Fig. 1 suggests that diamondiferous kimberlites tend to occur on the margins of the regions of thick lithosphere, rather than in the centres. Such a distribution is to be expected, 3 Fig. 1. Contours of the thickness of the African lithosphere, calculated from the shear wave velocity. The small back dots show the locations at which this thickness is calculated. The magenta circles show the locations of diamond-bearing kimberlites (Nixon, 1987; Janse and Sheahan, 1995), and the yellow circles show those of alkali basalts containing mantle nodules whose mineral compositions have been used to estimate the lithospheric thickness. The numbers in white boxes show the thickness of the lithosphere estimated from the composition of minerals in mantle nodules (see Priestley and McKenzie (2006) for references). The cratons are outlined in yellow and are labelled as follows: a West African Craton, b Angolan Craton, c Tanzanian Craton, d Kalahari Craton. because diamond-bearing kimberlites require both melt and diamond-bearing lithosphere. Since the solidus temperature increases with pressure, less melt is likely to be generated beneath the thickest lithosphere than beneath the thinner regions on either side. The geometry of the thick parts of the lithosphere in Fig. 1 is somewhat different from that proposed on geological grounds, especially in southern Africa (see Nixon, 1987, Fig. 98). Fig. 1 shows that the Kalahari, Tanzanian and Angolan Cratons are not now separate structures, but all form part of a larger region of thick lithosphere. Such continuous regions of thick lithosphere are hereafter called ‘cores’. The two in Fig. 1 will be referred to as the West African and Southern African Cores. Different parts of what is now a single core may have had very different histories, and may only have been joined together relatively recently. The value of Vs provides no age information, so there is no a priori reason to believe that all the rocks that form a core were formed at the same time as the cratons that many of them contain. 4. Continental tectonics Maps of the continental cores in Figs. 1–5 show that they have controlled the geometry of the continental fold 4 D. M cKenzie, K. Priestley / Lithos 102 (2008) 1–11 Fig. 2. (a) Tectonic map of North America (Holmes, 1965, Fig. 811). (b) As for Fig. 1. The two green lines marked COC and SC show the locations of the COCORP profile and the southern Canadian sections discussed in the text. NM marks the location of the New Madrid earthquake sequence. The yellow line shows the approximate boundary of the North American Craton, labelled a. belts. The North American Core (Fig. 2) is fringed by the Appalachians in the east and the Rocky Mountains in the west. In the southeast, a COCORP seismic profile (Cook et al., 1979) shows that a thin sheet of younger rocks have been thrust over the Core. Similar behaviour occurs in the west, near 50°N in southern Canada, where the southern Rocky Mountains override the Core in the classic area of thin skinned tectonics (Bally et al., 1966). As in Africa, most of the diamond-bearing kimberlites occur within the North American Core. Fig. 2 also shows that the enigmatic New Madrid earthquakes occurred at the margin of the Core. The western part of the North Eurasian Core (Fig. 3) has controlled the tectonic evolution of Europe, where the Caledonian and Hercynian fold belts wrap round its margins. In Norway the Caledonian thrusts override the margins of the Core, as do the Hercynian and younger thrusts in southern Russia and the Caucasus. The Core consists of the Baltic Shield and the Russian and Siberian Platforms, and the part west of the Urals is one of the thickest cores illustrated in Figs. 1–5. Three small regions of thick lithosphere are also present in Fig. 3. One of these, south of the Aegean, is unlikely to be real. It is probably caused by the high velocity in the slab that is being subducted by the Hellenic arc. The other two, beneath the British Isles and Iran, are likely to be real. The Urals themselves cut across the Core, which therefore must have been assembled after the Carboniferous. The south-east boundary of the North Eurasian Core (Fig. 4a) controls the northern edge of the deformation associated with the Himalaya and the northward motion of India. This control is especially obvious east of Lake Baykal. It is surprising that the lithosphere is so thin throughout most of China and beneath the southern part of the Indian Peninsula. Eastern Chinese diamondbearing kimberlites of Ordovician age occur in a region where the lithosphere is now thin (Menzies et al., 1993; Griffin et al., 1998). Their presence suggests that the lithosphere has been thinned since the Ordovician. The Indian kimberlites are Precambrian, and the southern part of the Indian shield may also have been thinned since they were emplaced. The maps in Figs. 2–5 also provide information about how large cores form by joining smaller ones together, and how single cores can divide into two or more pieces. The Urals cross the North Eurasian Core, yet the region of thick lithosphere is continuous between the Russian and Siberian Platforms. Since it is unlikely that the edges of these platforms matched before they came together, the edges of cores must be deformable, or the thinner lithosphere that existed between the cores must have been thickened by shortening. Fig. 4b shows a reconstruction of the North Atlantic, using the pole that Bullard et al. (1965) obtained by fitting the 500 fathom contours of Africa and North America. The edges of the North American and West African Cores are parallel, and probably formed a single core before the two continents separated. The thin lithosphere that is now present on both margins is likely to have been produced by stretching before seafloor production began, and is likely to consist in part of depleted harzburgite. The break follows the Caledonian belt, which formed a line of D. M cKenzie, K. Priestley / Lithos 102 (2008) 1–11 5 Fig. 3. (a) Tectonic map of Europe (Holmes, 1965, Fig. 807). (b) As for Fig. 1. The yellow line shows the approximate boundary of the East European Craton, labelled a. weakness. Even earlier, Caledonian shortening closed the Iapetus Ocean. Like the Urals, this closure only stopped when the thin lithosphere between the cores had been removed by thickening or lateral transport. Fig. 5 shows that the Australian Core also has a considerably greater extent than the exposed shields. 5. Underlying physical processes Nodules from kimberlites show that much of the mantle part of cores consists of depleted harzburgite, with a density that is about 40 kg/m less than that of the fertile mantle. The seismic velocity change associated with this depletion is only about 0.03 km/s (Jordan, 1979). Therefore the density of the depleted material is controlled principally by its composition, and its velocity by its temperature (Priestley and McKenzie, 2006). The low density of the harzburgite stabilises the cores against convective instabilities, which reduces their steady state temperature gradients. Maggi et al. (2000) argued that the strength of old continental lithosphere results from the strength of the crust, not the mantle. McKenzie et al. (2005) showed that the distribution of earthquakes with depth and the variations in the thickness of the elastic layer that supports long term lithospheric stresses both require the elastic stresses to be relaxed by creep when the mantle temperature exceeds about 600 °C. This result requires the strength of the continental lithosphere to reside in the crust, not the mantle. Furthermore, if the crust is to be strong when its temperature is as high as 600 °C, it must be dry (Mackwell et al., 1998; Jackson et al., 2004). The striking influence of the cores on continental deformation must then be a consequence of the thermal insulation of the crust by the buoyancy of the thick stagnant layer of mantle below. Resistance to lithospheric shortening will therefore increase sharply 6 D. M cKenzie, K. Priestley / Lithos 102 (2008) 1–11 Fig. 4. (a) As for Fig. 1. The cratons are outlined in yellow and are labelled as follows: a East European Craton, b Siberian Craton, c North China Craton, d Yangtze Block of the South China Craton, e Bastar, Singhbhum, and Arivalli Cratons, and f Dharwar Craton. (b) Reconstruction of the Central Atlantic using the fitting pole of Bullard et al. (1965). when approaching cores meet, largely because of the stresses required to deform crust which is dry and relatively cold. Conversely, stretching of a core, especially when localised by an old line of weakness, can rapidly thin the lithosphere, and hence decrease its strength. Because the shear wave velocity of mantle material is principally controlled by temperature rather than by composition, the seismic velocities of stretched cores, consisting of depleted harzburgite, will be the same as those of fertile mantle. So the buoyant depleted material can only be distinguished from fertile mantle where it forms thick cold roots, and there is as yet no method of knowing what parts of the mantle part of lithosphere of normal thickness (∼ 100 km) consist of depleted mantle. The thin lithosphere beneath the diamond-bearing kimberlites of NE China (Fig. 4a) may still contain harzburgite, and perhaps the same is true of southern India. As well as controlling the tectonic deformation of continents, the geometry of cores is also likely to control the composition and abundance of alkaline magmas D. M cKenzie, K. Priestley / Lithos 102 (2008) 1–11 7 Fig. 5. As for Fig. 1. The cratons are outlined in yellow and are labelled as follows: a Darwin Craton, b Kimberley Craton, c Pilbara Block, d Yilgarn Block, e Gawler Craton. generated near the base of the lithosphere. The parameters that are most sensitive to the depth of melt generation are the concentrations of sodium and potassium. Because the compatibility of sodium in clinopyroxene changes with increasing pressure, from being incompatible at depths of less then about 70 km to being compatible at 150 km (Wang and Takahashi, 1999; Tsuruta and Takahashi, 1998), alkaline magmas become increasingly potassic as the depth of melting increases. Measurements of alkali concentrations are routinely reported, and therefore provide a simple method of testing this suggestion. 6. Craton formation The thickness of 75 Ma old oceanic lithosphere is about 100 km. Thereafter its thickness does not increase with increasing age. Though a number of explanations for this behaviour have been proposed, it is now widely believed that it results from a convective instability that removes the lower part of the lithosphere. Since the composition of the convecting mantle beneath the plates cannot be affected by crustal thickness variations, the same convective instability should occur beneath continents, especially if the entire lithosphere has been thickened by thrusting. This argument led Houseman et al. (1981) to propose that the shortening that increased the crustal thickness beneath Tibet should produce an unstable lithosphere whose lower part would detach and sink into the mantle. They argued that this behaviour was required to account for the regional metamorphism which has occurred beneath Tibet since India and Asia collided in the Tertiary. Their proposal has been used to account for a variety of geophysical and geological observations, such as the uplift of Tibet and the low values of Vs observed in the mantle close to the Moho beneath northern Tibet (McNamara et al., 1995). However, the regional maps of Vs(z) and of lithospheric thickness beneath Tibet and Iran (Fig. 4a) are not compatible with Houseman et al.'s proposal. They show that the thickness of the lithosphere beneath both plateaus is now about 260 km. This result is a surprise, and suggests that the process that generated the thickened crust beneath these plateaus has also resulted in thick lithosphere that extends beneath the whole plateau. The lateral resolution of the surface wave tomography is about 400 km, so narrow vertical high velocity features like that described by Tilmann et al. (2003) will not be resolved. The centre of the plateau has been elevated for the last 35 Ma (Rowley and Currie, 2006) and is still underlain by thick lithosphere. There is therefore no evidence of large scale lithospheric removal at any time since the formation of the plateau. The thick lithosphere must be stabilized against convective instability, most probably by depletion. Melt removal from fertile upper mantle produces a low density residue, but scarcely affects the value of Vs. The resemblance of the lithospheric structure of Tibet to that of Archaean and Proterozoic cratons is unexpected. The obvious explanation is that both are produced by the same processes, and that Tibet may eventually become a craton when the upper 30–40 km of its crust has been removed by erosion. The crustal thickness of most cratons is now about 40 km, and the 8 D. M cKenzie, K. Priestley / Lithos 102 (2008) 1–11 Fig. 6. Sketch showing two processes that can produce thick crust overlying thick lithosphere, by (a) uniform thickening of crust and lithosphere, initially both of normal thickness, and (b) thickening the crust by emplacing a thick crustal layer on top of a craton, whose crust is initially of normal thickness, but whose lithospheric thickness is 200–250 km. metamorphic rocks at their surface record pressures of about 1 GPa (Harley, 1989, 2004). Their crustal thickness must therefore have been 70–80 km at the time the metamorphism occurred if they have not since been deformed. Presumably such large crustal thicknesses resulted from shortening. An important question is whether the whole lithosphere was also shortened, or whether only the crust was thickened, by thrusting or lower crustal flow. Seismic studies (Tilmann et al., 2003) suggest that the crust and lithosphere of the Indian Shield extends beneath the southern part of Tibet, and that the thick lithosphere in this region is inherited. This region therefore does not provide information about how thick lithosphere beneath shields is produced. However in northern Tibet Haines et al. (2003) have argued that the Tibetan crust has been shortened by pure shear. This process could thicken the lithosphere if the mantle was deformed in the same way. Fig. 7. Evolution of the lithospheric temperature (a) and shear wave velocity (b), calculated from Eqs. (3) and (4), after sudden thickening of the lithosphere. Before shortening the lithospheric thickness was 80 km, and the upper and lower crustal thickness were 20 km and 5 km, with heat generation rates of 2 μW/m3 and 0.4 μW/m3 respectively. The lithosphere was uniformly shortened by a factor of 3 at t = 0. The thermal conductivity of the crust has the same temperature dependence as that of the mantle, but its value is half that of the mantle. The green line in (a) shows the location of the Moho. The velocities in (b) are labelled with the value of t in Ma, and are incorrect in the crust. D. M cKenzie, K. Priestley / Lithos 102 (2008) 1–11 Many of the nodules extracted from thick lithosphere by kimberlites are harzburgites that have been produced from fertile mantle by the extraction of about 30% melt. Canil and Wei (1992) and Canil (2004) have argued that the Cr concentration in these rocks requires the depletion to have occurred in the presence of spinel, because it is the only commonly occurring phase in peridotites in which Cr is compatible. This argument requires the melt to have been removed at pressures of less than about 3 GPa, or at depths of less than 100 km (Canil, 2004). Since harzburgite nodules come from depths as great as 200 km, the thick lithosphere must have been produced by shortening after melt extraction. Tainton and McKenzie (1994) argued that the extent of depletion also requires thick lithosphere to have been produced by shortening, because no choice of mantle potential temperature can generate 30% melt at depths as great as 150 km. Both arguments therefore require thick depleted lithosphere to have been produced by shortening, to transport the depleted material downwards to form the cratonic roots. If lithospheric removal has not occurred beneath Tibet, the heat responsible for regional metamorphism cannot have been conducted in from the base of the crust, and a different process must also be responsible for the low sub-Moho velocities. The only other heat source available is crustal radioactivity, and it is clearly of interest to discover whether it can produce the observed effects. Fig. 6 shows a sketch of two processes that can generate thick crust and lithosphere like that beneath Tibet; by shortening the entire lithosphere, or by increasing the crustal thickness of a region whose lithospheric thickness is already 200 km or more. Fig. 7 shows the thermal evolution of lithosphere formed by the first of these processes, starting with a lithospheric thickness of 80 km and a crustal thickness of 25 km. This lithosphere is instantaneously shortened by a factor of three at t = 0. As England and Thompson (1984) and Le Pichon et al. (1997) have pointed out, crustal radioactivity is itself sufficient to cause the temperature at midcrustal levels to rise rapidly. Fig. 7a shows its temperature reaches 900 °C 60 Ma after the shortening event. Fig. 7b shows that conduction of heat downwards from the crust causes Vs of the uppermost mantle beneath the Moho to decrease. Comparison of the behaviour of the two models in Fig. 6 shows that radioactive heat generation in the thickened crust, and not the process by which the thickening occurs, is the principal control on the thermal behaviour. Since the crustal temperatures exceed the granite solidus, melting will occur, and the upward movement of melt will transport the elements that generate heat to the upper part of the crust. 9 The final stage of this process occurs after shortening ceases, when erosion removes the upper crust and its radioactive elements, leaving the depleted mid-crust that underwent granulite facies metamorphism exposed at sea level. This process does not change the thickness of the mantle part of the lithosphere, and does not involve any tectonic deformation. Fig. 8a shows a number of estimates of pressure and temperature from granulite Fig. 8. (a) Temperature and pressure from the model in Fig. 6, labelled with the value of t in Ma. The pressure and temperature estimates for granulites in the inset box are from Harley (1989). The red box shows similar estimates from Tibetan crustal xenoliths from Hacker et al. (2000). (b) as for (a) with the same concentrations of K, U and Th, but with the shortening taking place 3 Ga ago. 10 D. M cKenzie, K. Priestley / Lithos 102 (2008) 1–11 terranes from Harley (1989), together with those from Tibetan crustal xenoliths (Hacker et al., 2000). The plot shows that the geothermal evolution in Fig. 7a can produce mid-crustal temperatures of 900–1000 °C required by the observations. In the past the rate of radioactive heating was greater. Fig. 8b shows the thermal behaviour corresponding to that in Figs. 7 and 8a if the shortening occurred 3 Ga ago, calculated using the present concentrations of K, U and Th. As expected, the temperatures are higher than those in Fig. 8a, and exceed the highest temperatures estimated from the mineralogy of ultrahigh temperature metamorphic terranes (Harley, 2004). These numerical experiments show that crustal radioactivity can produce granulite grade regional metamorphism and lower the value of Vs in the mantle beneath the Moho. They also show how processes that are now occurring can account for the main features of cratons. 7. Conclusions Regions of thick, cold continental lithosphere can now be mapped using surface wave tomography. The resulting maps show that a number of individual, mostly Precambrian, shields are now parts of larger regions of continuous thick lithosphere. We propose that such regions are called ‘cores’, partly to distinguish them from the individual shields and cratons that have been joined by tectonic processes to form the cores, partly because their age of formation cannot be determined from seismology, and partly because not all cratons are now underlain by thick lithosphere. These cores have dominated the tectonic deformation of the continents, and control the distribution of diamond bearing kimberlites. Their margins can be deformed, and are often overridden by younger thrusts. Cores are difficult to shorten, but are easier to stretch, especially on preexisting lines of weakness. Their strength largely resides in their dry crust, which remains relatively cold because it is insulated from the convecting mantle by a thick layer of low density harzburgite. The Tibetan Core now has a thickness of 250–300 km, and has not been thinned by delamination. 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