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Available online at www.sciencedirect.com ScienceDirect Russian Geology and Geophysics 57 (2016) 1135–1142 www.elsevier.com/locate/rgg Transmantle (intratelluric) fluid flows: a new model for plumes and plume magmatism N.S. Zhatnuev * Geological Institute, Siberian Branch of the Russian Academy of Sciences, ul. Sakh’yanovoi 6a, Ulan-Ude, 670047, Russia Received 3 June 2015; accepted 24 September 2015 Abstract A fluid model for the formation of mantle plumes is proposed. During the emission of gas from the Earth’s core, it accumulates as lenses at the core–mantle boundary. Reaching a critical size, the lenses burst out into the mantle and migrate to the surface. A relatively stationary transmantle fluid flow from the core–mantle boundary arises, which heats the mantle and the layer interacting with it. The flow stops in the base of the hard lithosphere and spreads laterally, causing its melting accompanied by the formation of magma chambers, which, reaching critical sizes, massively intrude and flow out. © 2016, V.S. Sobolev IGM, Siberian Branch of the RAS. Published by Elsevier B.V. All rights reserved. Keywords: mantle plumes; transmantle flows; fluid fracturing; magma fracturing; fluid cavities; excess pressure Introduction The hypothesis of mantle plumes (MP) was put forward by Morgan (1971) and Wilson (1963). Later, it was developed into the concept of hot fields (Zonnenshain and Kuz’min, 1983, 1992). A comprehensive analysis of the MP problem was made by Dobretsov (2008), Kuz’min et al. (2011), and Puchkov (2009), who considered the assumed nature and mechanisms of MP formation. As follows from the works by Dobretsov (2008), Letnikov (2001), Letnikov and Dorogokupets (2001), and Puchkov (2009), MP are the result of the hydrogen and hydrocarbon degassing of the Earth’s core followed by the oxidation of these gases to water and carbon dioxide during the ascent. However, the mechanisms of MP ascent and the details of MP evolution are different in the above works. According to Letnikov (2001), plumes result from thermal explosions at the core–mantle boundary accompanied by the outburst of gases at >1300 kbar (130 GPa) and >4000 ºC, which “burn” through the mantle on the way toward the surface. The interaction of hydrogen fluid with the oxygen-containing matrix led to the generation of heat and water, which caused the conversion of the initial hydrogen plume into a water–hydrogen one with volatile metal compounds. According to Dobretsov (2008), plumes are generated in mantle craters of thermochemical nature at the core–mantle boundary. These craters result from the input of a chemical material lowering the melting temperature at the mantle base. Based on experiments with viscous liquids (Campbell, 2005; Griffiths and Campbell, 1990), a convective mechanism of MP generation was proposed. It implies the formation of a “head and tail” structure during the ascent of a light material in a heavier medium. The first two hypotheses (Dobretsov, 2008; Letnikov, 2001) suggest that MP form during the melting of matter in a continuous conduit from the Earth’s core up to the lithosphere base. Later research (Zhatnuev, 2010), however, showed a high excess pressure (EP) in long magma conduits, considerably exceeding the rock strength. In this case, the plume material should have reached the surface as a result of catastrophic breaks through the lithosphere, which is not in fact observed. Following the hypothesis of Campbell (2005) and Griffiths and Campbell (1990), the ascent should be, on the contrary, slow, because this is a convective mechanism and the rate of ascent is close to the rate of mantle convection. If this mechanism actually took place, one would undoubtedly observe the deviation of plume from the vertical at a considerable angle under the impact of the “mantle wind” (Puchkov, 2009). * Corresponding author. E-mail address: [email protected] (N.S. Zhatnuev) 1068-7971/$ - see front matter D 201 6, V.S. So bolev IGM, Siberian Branch of the RAS. Published by Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.rgg.201 + 6.08.002 1136 N.S. Zhatnuev / Russian Geology and Geophysics 57 (2016) 1135–1142 The hypothesis of intratelluric flows Korzhinskii (1952) was the first in Russia who put forward a hypothesis of the existence of solutions of subcrustal nature, called transmagmatic, which cause granitization, melting, and metasomatism. The hypothesis of the mantle genesis of fluids inducing crustal-substratum melting was proposed by P. Termier in 1910. He explained crustal metamorphism and melting by the presence of filtration columns, i.e., ascending flows of percolating juvenile solutions (Korzhinskii, 1968; Ovchinnikov, 1973). This hypothesis was supported by Kuznetsov and Izokh (1969) and by Ovchinnikov (1973). Based on geological observations and a review of voluminous literature data on magmatism, metamorphism, and accompanying processes, they came to the conclusion about deep mantle sources of heat and fluids causing magmatism, metamorphism, and ore formation. The mechanisms of mantle fluid migration and heat sources, however, remained unclear. These fluids and heat sources are necessary for endogenic processes in crust, since the assumed mechanism of material supply from the mantle along deep faults is impossible because of the ductile rheology of the mantle and lower crust. Moreover, the rheologic layering of the crust and lithosphere can be rather intricate in the case when brittle layers are changed by ductile and again brittle ones to a considerable depth from the surface (Corti et al., 2003). I fully support the viewpoints of the above researchers on the mantle nature of heat and fluid sources and propose a particular mechanism of hot-fluid input from the deep mantle into the Earth’s upper horizons and a different mechanism of MP formation and accompanying magmatism. A model for transmantle fluid flows and the formation of mantle plumes The proposed model for heat and material input is based on the possible upward migration of fluids in the ductile mantle along isolated subvertical fracture cavities. The essence of the mechanism of fracture cavity migration was outlined earlier (Zhatnuev, 2005). The motion is favored by the compression of the cavity walls due to the lithostatic pressure. The fluid, by virtue of its lower density, transmits the pressure into the “head” of the cavity, thus creating an EP proportional to the vertical size of the system and to the difference in fluid and rock densities (Fig. 1a). The calculated vectors of fluid and lithostatic pressures onto the cavity wall are shown in Fig. 1. In the case of a rather long vertical conduit and a significant difference in the densities of fluid and the enclosing ductile medium, the EP becomes higher than the rock strength, which leads to a “fluid fracturing” in the head and (since the volume is constant) a collapse in the tail of the cavity. This process ensures the upward movement of the cavity, which is similar to the floating of gas bubbles in liquid, but in our case the process runs in a solid, plastically deformable medium. A plot of EP initiation is shown in Fig. 1c. The process is substantiated as follows. In the case of a subvertical fracture cavity filled with fluid (Fig. 1a) in the plastic rock, the lithostatic pressure in the head (top) fracture cavity, P1lith (Fig. 1c), at depth H1 is H1 P1lith = ∫ g (h) ρr (h) dh, (1) 0 Fig. 1. The mechanism of EP initiation in a closed fracture cavity under plastic deformations: a, Vertical cavity with a fluid: Arrows show the fluid flow in the cavity and hydraulic fracturing in its head, l is the height of the cavity; b, vectors of hydrostatic internal fluid pressure and lithostatic external pressure on the cavity wall; c, plots of lithostatic and hydrostatic pressures in the cavity. ∆Pfl is the EP of fluid in the head of the cavity. N.S. Zhatnuev / Russian Geology and Geophysics 57 (2016) 1135–1142 where ρr is the rock density, H1 is the depth from the Earth’s surface to the cavity head, g is the acceleration due to gravity, and h is the integration variable. The lithostatic pressure in the “tail” (bottom) of the fracture cavity, P2lith, is also calculated from (1) but for depth H2. The intrinsic pressure of the fluid at the bottom of the fracture cavity (under assumption that the fluid density is the same throughout the height of the cavity) is Pfl = ρflgl, (2) where ρfl is the fluid density and l is the vertical length of the cavity. The fluid pressure in the “tail” of the cavity, P2fl (at depth H2), is equal to the lithostatic pressure P2lith, and the fluid pressure in the head of the cavity (at depth H1) is P1fl = P2fl – Pfl. (3) Thus, the EP in the head of the fracture cavity (Fig. 1c) is ∆Pfl = P1fl – P1lith. (4) Admitting the Earth’s core as a source of reduced fluids (Dobretsov, 2008; Letnikov, 2001; Letnikov and Dorogokupets, 2001) and taking into account its liquid state and the solid state of the bordering mantle, we assume that gas emission from the core will lead to the formation of lenses, horizontal cavities (Fig. 2, on the left) accumulating the fluid, at the core–mantle boundary. The cavities are a kind of “craters” (Dobretsov, 2008). This process might be due to the high rate of gas emission and the impossibility of the lower-mantle material to absorb the gas or transmit it upward. The abundance of such fluid lenses and their interaction with the lower mantle probably explains the nature of superswells 1137 of the layer D″, which are not only of thermal nature but are also compositionally heterogeneous (Burke et al., 2008). However, these lenses cannot grow infinitely and, reaching critical sizes (Fig. 2), undergo fluid fracturing (similar to hydraulic fracturing), transform into a vertical closed fracture cavity, and ascend into the mantle. At the initial moment after the fluid fracturing, the height of the cavity is close to the lateral sizes of the lens (with the cavity volume remaining the same) and is much larger than the initial height. This causes an instantaneous increase in EP, which becomes much higher than the mantle strength and favors the rapid ascent of the cavity. However, extremely large vertical cavities in the ductile medium are unstable and, likely, break into smaller ones, similarly to the crushing of large air bubbles floating in liquid. The mechanism of this process was not considered in this study. A critical size is the height of a fluid lens at which the EP becomes higher than the mantle tensile strength. The EP corresponding to a critical size is calculated from Eqs. (1)–(4), but the calculation requires data on the strength of the mantle at its boundary with the core and on the fluid properties, which are not reliably known under thermodynamic conditions of the layer D″ and are the subject of discussion. In this work the mantle base strength was taken close to the lithosphere base strength (Corti et al., 2003). The rheologic characteristics of the lithosphere of different types, from stable four-layered to young two-layered oceanized, differ considerably. The strength (σm) of the lithosphere of any type, however, becomes lower than 50 MPa near its base (mantle part) (Fig. 3). For calculations we borrowed the fluid density value from Letnikov and Dorogokupets (2001), who showed that the specific density of fluid (g/cm3) at the core–mantle boundary decreases Fig. 2. Scheme (on the left) of the formation of fluid lenses at the core–mantle boundary and their outburst and ascent in the form of a fracture cavity in the mantle. Arrows show a fluid flow from the core. hcr is the critical height of lens necessary for its outburst into the mantle. Plot (on the right) of the calculated critical heights (h1–h9) of lenses at the core–mantle boundary at the mantle strength of 50, 100, and 150 MPa. 1, 2, and 3 are the fluid densities, g/cm3. 1138 N.S. Zhatnuev / Russian Geology and Geophysics 57 (2016) 1135–1142 Fig. 3. Strength profiles (Corti et al., 2003) for the young stable four-layered lithosphere (1), thinned three-layered lithosphere (2), and oceanized thinned lithosphere (3), with the author’s supplements. σm is the strength of the lithospheric-mantle base. Points and dashed lines show the maximum strength of lithosphere layers, and horizontal dashed lines, their depth from the surface. C is the crust thickness, and L is the lithosphere thickness. On the right of the figure, there is a schematic model for plume evolution at different stages of evolution of the lithosphere strength and thickness. in the series N2(3.5)–CH4(1.4)–He(1.25)–H2(0.4). In different variants of calculations, the mantle strength was taken conservatively: 20, 50, and 100 MPa, which is much higher than the lithosphere base strength (Corti et al., 2003). Fluid densities were taken equal to 1, 2, and 3 g/cm3, i.e., close to the values given by Letnikov and Dorogokupets (2001). The results of calculations are presented in Fig. 2 (on the right). At the mantle strength of 20 MPa and fluid density of 1 g/cm3, the critical height of lens, hcr, is ~0.4 km (h1 at σ = 20 MPa); at the fluid density of 2 and 3 g/cm3, h1 is ~0.5 and 0.65 km, respectively (h2 and h3 at σ = 20 MPa). If the mantle strength increases to 50 and 100 MPa at the same fluid densities, the critical size will be h1 – h3 at σ = 50–100 MPa (Fig. 2). That is, the maximum thicknesses of fluid lenses at these strength parameters of the lower mantle and the fluid densities of 1–3 g/cm3 do not exceed 3.4 km (σ = 100 MPa). Thus, the results of calculation suggest accumulation of fluid lenses up to 3.4 km in height at the core–mantle boundary. After the outburst, they transform into vertical fracture cavities with a height much more than the critical one, but their sizes can hardly be estimated. During the accumulation at the core–mantle boundary, a fluid experiences different chemical and thermodynamic conditions, passing from the metallic oxide core into the mantle, and, most likely, interacts with the mantle material, causing melting and dissolution of the components. Then, ascending through the mantle, the fluid undergoes changes as a result of the total-pressure and temperature decrease, as well as adiabatic expansion. At the same time, the exothermic oxidation of the fluid can compensate for the heat loss related to the adiabatic expansion and temperature decrease. It is impossible to establish in detail the intricate evolution of this system. It is clear that during the ascent, the fluid heats up and forms the trunk part of the plume, which is detected by seismic tomography as a slow-mantle zone. Here, fluid fracture cavities ascend, reaching the lithosphere base, much harder than the sublithospheric mantle (Fig. 3). The heating-up and impact of the fluid (plume), however, cause the thinning and softening of lithosphere, followed by its melting (Corti et al., 2003). Figure 3 (on the left) shows how the lithosphere strength changes under plume impact. The right part presents the section of lithosphere heated by mantle fluids (interpretation of the strength plots). Numerals 1–3 mark the process stages. In the case of a four-layered lithosphere, fracture cavities with a fluid cannot overcome the barrier at a depth of 55 km at stage 1. At stage 2, the lithosphere softens as a result of heating-up, and the fluid can rise to the next height level (35 km). At stage 3, the continuing heating-up and softening of the lithosphere favor the fluid ascent up to the crust. The arrows in the right part of the figure show a fluid flow, which spreads laterally when reaching the hard lithosphere. Sublithospheric evolution of fluid There are numerous data on the discovery of mantle fluid components in the hydrosphere, but there is no information about the direct outlet of hot mantle fluids. This means that the proposed mechanism of fluid transport breaks down as the fluid approaches the lithosphere, which is due to the significantly higher strength of the latter as compared with the ductile mantle. More simply, the ascending fluid cavities stop at the strength barrier near the lithosphere base (Figs. 3 and 4) because of the insufficiently high EP, which, as shown above, depends on their vertical extension and the density of fluid in the cavities. The process of fluid cavity ascend through the mantle is schematically shown in Fig. 4. At Hcr, the EP in the fluid lens increases considerably to cause fluid fracturing (by analogy with hydraulic fracturing) of the enclosing mantle N.S. Zhatnuev / Russian Geology and Geophysics 57 (2016) 1135–1142 1139 strength. This favors the rapid movement of the fluid cavity. Nevertheless, reaching the hard lithosphere, the lens cannot break through it, but the EP within the lens is high enough to cause a horizontal fluid fracturing and spreading of the fluid throughout the softer asthenospheric mantle (Fig. 4b). Plume-related magma formation Fig. 4. General scheme of fluid accumulation in lenses at the core–layer D″ boundary and its following outburst into the mantle, attainment of the hard lithosphere, and spreading beneath it. a, Stages 1–9 of fluid accumulation and outburst at the core–mantle boundary; b, stages 1–5 of fluid lens stop at the base of the hard lithosphere and their lateral spreading. layer. As a result, the lens, which was initially of horizontal strike, transforms into a vertical cavity and ascends (Fig. 4a). The height of the cavity is much more than Hcr, and, correspondingly, the EP is much higher than the mantle Letnikov (2003) showed that neither the recent nor the Mesozoic continental geotherms intersect with the solidus of mantle rocks. This indicates that melting of mantle rocks is hardly possible without an additional impact (a local temperature increase or the appearance of a water fluid in the system) on the continental mantle. As shown above, plume makes a thermal or fluid impact (in the form of fluid cavities ascending from the core through the mantle) on both the continental and the oceanic lithosphere. The reduced fluids separated from the core during the cavity ascent are oxidized on oxides of metals of variable valence, producing water and CO2 and generating heat in the exothermic oxidation reactions. As well known (Kadik et al., 1971), water significantly decreases the solidus and liquidus temperatures of magmas. This can be shown schematically on a diagram (Fig. 5). As a water fluid carrying heat inflows into the system, the solidus and liquidus of anhydrous melt shift to the left, to lower temperatures, and the geotherm shifts to the right, toward the solidus. This results in a mantle magma chamber, which expands both laterally and vertically as the plume fluid inflows. The lateral expansion is predominant, which is due Fig. 5. Schematic diagram of melting-out of mantle magmas during the inflow of water fluid and heat from plume (on the right) and evolution of a mantle magma chamber (on the left). AS and AL are the anhydrous solidus and anhydrous liquidus of mantle rocks, respectively (the zone between them is hatched). HS and HL are hydrous solidus and hydrous liquidus, respectively (the zone between them is shaded). Dotted lines mark the degree of rock melting between the HS and HL (0–100%). White arrows show the shift of the solidus and liquidus from anhydrous to hydrous under water input, and black arrows (at the bottom), the shift of the geotherm under heat input. Dashed lines on the diagram depict the degree of melting from core to periphery, and arrows at its bottom show a flow of hot plume fluid. 1140 N.S. Zhatnuev / Russian Geology and Geophysics 57 (2016) 1135–1142 Fig. 6. Height of magma chamber vs. excess pressure diagram (on the left) and schematic evolution of the chamber during its growth (on the right). p1–p7 are the excess pressures in the apical part of the chamber with heights h1–h7 at evolution stages 1–7. to the strength of the overlying lithosphere. This process is accompanied by the increase in the degree of melting of mantle rocks. The prolonged thermal impact of plume, however, leads to the thinning and strength degradation of the lithosphere (Corti et al., 2003) and to the lateral expansion of the magma chamber and increase in its height, which finally reaches a critical value. The concept of a critical height, described above for fluid lenses, is also true for magma chambers (Zhatnuev, 2010). As for fluid lenses, a critical height is determined by the difference in the densities of the enclosing medium and magma, which governs the EP in the apical part of the chamber (Fig. 6). If the EP exceeds the strength of the enclosing medium (σ), this causes magma fracturing (by analogy with hydraulic fracturing), and magma begins to intrude in the direction of pressure decrease (upward). This process is probably very fast because it is developed on the background of a rapid increase in the height of the magma column, decrease in the total (lithostatic) pressure, and EP increase. Figure 6 presents a schematic diagram showing the stepwise evolution of the magma chamber during the medium melting. Here, each height of the chamber (h1–h7) corresponds to a certain EP (p1–p7). In this series of pressures, pcr corresponds to the strength of the enclosing rocks. At stages 1–3 (on the right), the magma chamber expands as a result of melting without magma fracturing. At stage 3, with the chamber height hcr, the EP reaches pcr exceeding the strength of the enclosing rocks, which leads to fracturing and intrusion of magma. At stages 4–7, with the chamber heights h4–h7, rapid magma fracturing gives rise to a magma conduit. During the conduit formation, a self-developing increase in the height of the magma column and, accordingly, EP in its head take place. The magma fracture propagates in the direction of the least resistance, i.e., vertically upward, as a result of the Fig. 7. EP diagram for a peridotitic-magma chamber in comparison with lithosphere strength diagrams (hatched). a, EP for magma with CH2O = 0, 4, and 8 wt.% in the case of young four-layered lithosphere I, thinned three-layered lithosphere II, and oceanized lithosphere III, after Corti et al. (2003). b, Magnified fragment of the diagram, depicting critical heights (h1 and h2) necessary for the outburst of magma of different densities depending on water content. Small numerals at the horizontal axes show the EP corresponding to magma outburst, and numerals at the vertical axes are the heights of magma chamber and magma column. Schematic models for magma chambers 1 and 2 are also given. Arrows show a mantle fluid flow. For other explanations, see the text. N.S. Zhatnuev / Russian Geology and Geophysics 57 (2016) 1135–1142 1141 Fig. 8. Scheme of plume formation and plume magmatism. a–e, The sequence of plume formation stages (not to scale). Hcr is the critical height of lens necessary for its outburst into the mantle. mcr is the critical thickness of magma reservoir necessary for its outburst. For other explanations, see the text. accelerating EP increase in the head of the column and finally transforms into a relatively narrow, isometric in plan, magma conduit forming through the “abrasive” action of the moving magmatic melt. Figure 7 presents diagrams of EP calculated for sublithospheric peridotitic magma with different contents of water (different densities), together with diagrams of the lithosphere strength (Corti et al., 2003). The calculations were made using the densities of peridotitic magma with different water contents (Ohtani and Zhao, 2009) and the densities of the lithosphere and crust (Ohtani and Zhao, 2009; Ringwood, 1979). The diagram b (Fig. 7), a magnified fragment of the diagram a, shows that peridotitic magma with 8 wt.% H2O in a chamber with height h1 = 2.8 km can cause hydraulic fracturing of the mantle at EP = 11 MPa and a depth of 1117.8 km. The horizontal dimensions and volume of the magma chamber cannot be evaluated; they can vary over a wide range of values and depend on the lateral spreading of fluid forming the plume head. According to Dobretsov’s (2005) estimates, the plume head can spread laterally for more than 1000 km. At the higher density of magma containing 4 wt.% H2O, the EP necessary for upward magma rush increases to 13 MPa, and the critical height of the magma chamber, to 3.6 km (h2 = 120 km – 116.4 km = 3.6 km). The anhydrous peridotitic magma cannot rush to the surface (its EP in the apical part of the chamber is not beyond the hatched field of the diagram). That is, the EP does not exceed the strength of the enclosing rocks. The heights of hydrous-magma columns increase during magma outburst, as well as the EP (thin arrows along the plots on the diagrams). However, as the magma column (8 wt.% H2O) reaches a depth of 71.5 km, the trajectory of the EP plot 1142 N.S. Zhatnuev / Russian Geology and Geophysics 57 (2016) 1135–1142 intersects with the mantle strength plot at point 1 (Fig. 7a). This indicates that the EP of magma (280 MPa) is insufficient for break through the hard young four-layered lithosphere (Corti et al., 2003). This is still more impossible for less hydrous (i.e., denser) magmas, but nothing hampers horizontal intrusion of magma and formation of a lenticular plume head. As shown by Corti et al. (2003), the prolonged thermal impact of the anomalous mantle (plume) softens the lithosphere, and its strength evolves from state I to states II and III (Fig. 7a). Later, the softened lithosphere will favor magma breakthrough to the surface. It is beyond doubt that the magma chamber will ascend synchronously with heating and will be mushroom-shaped or lenticular. Conclusions A general model for the formation and evolution of transmantle fluid flows, mantle plumes, and plume magmatism can be presented as follows (Fig. 8). In a sufficiently vast area of the core surface the sources of gas form fluid lenses merging into larger ones during their growth (Fig. 8a, b). As the lens reaches a critical size (Hcr), it bursts out and transforms into a fracture, which can carry all accumulated fluid away (Fig. 8b). After the removal of this fracture, formation of fluid lenses can be resumed (Fig. 8c). During the ascent, the fluid fracture cavities break into smaller fragments until they reach the particular size (similarly to the break of large gas bubbles floating in liquid). The ascending fluid continuously interacts with the enclosing mantle to provoke partial melting of silicates, and the dimensions of the cavities evolve as a result of the decompression and cooling of their contents. The prolonged existence of this flow causes heating and decompression of the mantle and formation of the plume trunk (Fig. 8d). When approaching the hard lithosphere, the fracture cavities stop because the EP is low enough for their break through it. However, the EP is sufficient for the lateral spreading of cavities through fluid fracturing, which is accompanied by the heating of the lithospheric and sublithospheric mantle by the hot hydrous fluid and by its metamorphism and melting. As a result, the mushroom-shaped head of plume forms. 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