Geochemistry Geophysics Geosystems 3 G AN ELECTRONIC JOURNAL OF THE EARTH SCIENCES Published by AGU and the Geochemical Society Article Volume 8, Number 2 20 February 2007 Q02008, doi:10.1029/2006GC001359 ISSN: 1525-2027 Click Here for Full Article Dynamic models for mantle flow and seismic anisotropy in the North Atlantic region and comparison with observations Gabriele Marquart SRON and Institute of Earth Science, University of Utrecht, Postbus 80.021, 3508 TA Utrecht, Netherlands ([email protected]) Harro Schmeling Institute of Earth Sciences, Geophysics Section, J. W. Goethe University, Feldbergstrasse 47, D-60323 Frankfurt, Germany Ondřej Čadek Department of Geophysics, Faculty of Mathematics and Physics, Charles University, V Holesovickach 2, 180 00 Praha 8, Czech Republic [1] Dynamic mantle flow and temperature models for the North Atlantic based on a regionalized P-wave and a global S-wave tomography model were derived under the constraint of a maximum fit to the observed gravity field. For the regional flow model Cartesian geometry, temperature- and depth-dependent viscosity and a free slip surface were assumed, while the global model assumed a radially dependent viscosity and kinematic plate velocity boundary conditions. Both models show pronounced upwellings within the upper mantle beneath the Iceland area and the lower mantle beneath, the regional model containing a lateral shift associated with a horizontal flow near 660 km depth. The upper mantle temperature field of the regional model shows two distinct anomalies, one beneath Iceland and the westerly adjacent regions with a connection to a deep mantle root and an excess temperature of 200°C, and a second one below 300 km at the Kolbeinsey Ridge with an excess temperature of 120°C. These anomalies do not appear to be connected. An essentially radial flow pattern is found south of Iceland with ridge parallel flow along Reykjanes and divergent flow at the Kolbeinsey Ridge. The long-wavelength global model does not show such details but is characterized by a NE-SW elongated upwelling flow beneath Iceland and a ridge perpendicular flow within the upper mantle. From the modeled flow fields, lattice preferred orientations (LPO) of olivine are calculated. For the regional model, azimuthal seismic anisotropy is predicted with fast directions diverging away from Iceland and the Kolbeinsey ridge. The global model predicts roughly ridge perpendicular fast directions. Comparison of predicted with observed seismic anisotropy models shows regions of good agreement north, east, and SE of Iceland, as well as for Iceland. No agreement is found beneath the Reykjanes Ridge area, leading to the speculation that the fast directions are perpendicular to the flow due to a change in the LPO generating mechanism. Regarding geochemical findings, the regional flow model can explain plume-related geochemical signatures observed on the Reykjanes Ridge and predicts a deep, hot melt zone beneath the Kolbeinsey Ridge without plume tracers. Components: 14,393 words, 10 figures, 1 table. Keywords: North Atlantic; Iceland; Reykjanes Ridge; Kolbeinsey Ridge; mantle flow field; seismic anisotropy. Index Terms: 8121 Tectonophysics: Dynamics: convection currents, and mantle plumes; 8137 Tectonophysics: Hotspots, large igneous provinces, and flood basalt volcanism; 8180 Tectonophysics: Tomography (6982, 7270). Received 5 May 2006; Revised 6 September 2006; Accepted 27 October 2006; Published 20 February 2007. Copyright 2007 by the American Geophysical Union 1 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Marquart, G., H. Schmeling, and O. Čadek (2007), Dynamic models for mantle flow and seismic anisotropy in the North Atlantic region and comparison with observations, Geochem. Geophys. Geosyst., 8, Q02008, doi:10.1029/2006GC001359. 1. Introduction [2] This study focuses on the structure of mantle flow in the North Atlantic region, in particular on the large-scale region around the Iceland plume where plume-driven flow and spreading-driven flow from the Mid-Atlantic Ridge System are superimposed. On the basis of tomography and gravity data, a model for mantle dynamics in the North Atlantic has been derived in a previous study [Marquart and Schmeling, 2004]. Complemented by another globally based flow model we study some consequences on geophysical and geochemical observables. Since mantle flow pattern is expected to give rise to seismic anisotropy, the flow fields are used to determine the related elastic deformation tensor of olivine (based on the formalism of Kaminski and Ribe [2001, 2002]) and compare the direction of the fast axis to recent results on fast seismic velocity directions [e.g., Bjarnason et al., 2002; Li and Detrick, 2003]. Another constraint on mantle flow at least along the ridges can be found in the geochemical signature of mid-oceanic ridge basalts drilled and dredged along the Reykjanes and Kolbeinsey Ridges. Therefore the mantle flow field derived in this study will also be discussed in the light of geochemical observations. [3] Iceland is one of the few locations on Earth where a mantle plume and a spreading ridge coincide. This is not a permanent setting, since lithospheric plates and their boundaries move with respect to the mantle, and plumes are believed to be either fixed in the mantle or move with different speeds relative to plate boundaries [Steinberger and O’Connell, 1998]. In the North Atlantic the plume arrived under central or southeastern Greenland about 58 Ma ago [Torsvik et al., 2001], presumably caused rifting and plume-related volcanism in western, northern and eastern Greenland [Skogseid et al., 1992; White, 1997; Scarrow et al., 2000] and finally initiated massive volcanism and continental breakup between the North American and Eurasian Plate. Thus, in the early phase the plume was located to the west of the ridge, which may not only have caused the ridge jump from the extinct Aegir Ridge to the present Kolbeinsey Ridge north of Iceland (see Figure 1), but may also have contributed to a higher plate velocity of the North American Plate compared to the Eurasian Plate. Today the plate velocity of Iceland on the North American Plate at 65°N is about 2.6 cm/a in roughly westward direction compared to 1.4 cm/a in SW direction on the Eurasian side; arrows of motion are shown in Figure 1 (values refer to the hot spot reference frame based on the HS3Nuvel1a plate motions [Gripp and Gordon, 2002]). These plate motion vectors indicate a westward migration of the spreading ridge with approximately 1 cm/a. This migration of the ridge system in respect to the mantle very likely explains the observation that after the strong initial volcanic phase in the North Atlantic Basalt Province volcanic activity ceased but was renewed about 20 Ma ago. By this time the ridge axis has migrated close enough to the decaying plume that hot upwelling plume material could rise to a shallower level leading to increased melt production and thus to a renewal of volcanic activity forming the Iceland plateau [Mihalffy et al., 2006]. Continuous westward movement of the ridge system since then has led to the present situation with the Reykjanes and Kolbeinsey Ridge system already westward of Iceland, while the on-land spreading ridge, the neovolcanic zones of Iceland, is anchored to the mantle fixed plume and forms an indentation to the east (see Figure 1). The link to the North Atlantic ridge is provided by the Tjoernes Fracture Zone in the north, and the ‘‘bookshelf’’-type faults of the South Iceland Shear Zone. To anchor the rift axis on Iceland to the hot mantle anomaly beneath, while the North Atlantic Ridge System moves westward, repeated eastward ridge jumps on Iceland during the entire time of the island’s existence have occurred. [4] The repeated migration of the rift axis is already a clear indication of the importance of plume flux, interacting with ridge perpendicular spreading flux and large-scale plate movement. The complex flow can be separated into four contributions (see Figure 2): (1) Plume-related flow can be expected to be predominately vertical below 200 km and radial outward at shallower depth (Figure 2a). (2) A ridge parallel flow component has been proposed on the basis of geochemical observations (Figure 2b). Variations of rare Earth elements and trace element concentrations along the Reykjanes Ridge [Schilling, 1973] indicate that material from the Iceland plume has been mixed with more normal MORB type basalts several of hundreds of kilometers along the Mid-Atlantic Ridge, but with decreasing degree. This finding 2 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Figure 1. Topography/bathymetry of the North Atlantic shows major tectonic structures (data are based on ETOPO5 [National Oceanic and Atmospheric Administration, 1988]). The red arrows indicate the plate motion of the North American and Eurasian Plates in a hot spot reference frame (HS3-Nuvel1a [Gripp and Gordon, 2002]). has stimulated studies of along ridge channel like flow transport [e.g., Albers and Christensen, 2001]. (3) Spreading-related flow should follow the divergence of the plates at least in the uppermost mantle in an extended area on both sides of the ridge (Figure 2c). (4) Global plate motion related flow should coincide with the plate motion vectors in Figure 1 and be characterized by its long wavelengths nature (Figure 2d). [5] In the following sections, dynamic flow models based on the P-wave tomography model by Bijwaard and Spakman [1999] and S-wave tomography model smean [Becker and Boschi, 2002] will be presented and compared to the four idealized flow models and to results from seismic anisotropy and geochemical studies. 2. Dynamic Flow Models for the North Atlantic Region Based on Seismic Tomography [6] If one is interested in mantle flow within a particular region, either global tomography based flow models may be used, and one may zoom into the region under consideration, or both tomography and flow modeling may be restricted to the particular region. In the first approach far field (i.e., global) flow and density structures are consistently included in the regional flow field. However, due to computational limitations the flow model is usually restricted to long-wavelength structures. Such structures are appropriately represented by global S-wave tomography models. A further restriction of such flow models is that they usually only allow for 1-D radially variable viscosity. In the second approach, smaller-scale structures may be included, which are better represented by shorter-wavelength P-wave tomography. The regional formulation allows for higher resolution of the flow modeling and for 3-D variable viscosity. However, as the far field is not included care has to be taken when choosing the regional boundaries and boundary conditions. Boundaries must not cut through significant tomographic anomalies. The flow region should be considerably larger than the region with tomographic anomalies to allow for large-scale return flows. 3 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Figure 2. Possible idealized mantle flow geometry in the North Atlantic region [after Li and Detrick, 2003]. [7] In this paper we present one flow model based on each of the above approaches, namely a regional flow model based on the P-wave model by Bijwaard and Spakman [1999] regionalized for the North Atlantic, and a global flow model, based on the S-wave model smean [Becker and Boschi, 2002]. We then compare the similarities and differences. 2.1. Tomography Models for the Mantle Beneath the North Atlantic [8] The North Atlantic has been studied by a number of regional and global tomography studies. A global P-wave tomography model with high resolution within the North Atlantic region has been developed by Bijwaard and Spakman [1999]. In this model they have identified a clear signature of a plume conduit related to Iceland, rising through the entire mantle. This anomaly starts at a location at the CMB beneath the southern tip of Greenland and stretches as a strongly northeastward inclined structure through the lower mantle and seems to branch off in several anomalies at the mantle transition zone. Bijwaard and Spakman also observed reduced seismic wave velocities in the upper mantle below Iceland and the east Greenland margin, at a depth of 300 km in a rather narrow zone approximately below the Kolbeinsey Ridge, and even deeper below the Greenland shield. [9] When comparing this tomography model to others from the same region we have to distinguish between global and regional models which also address the controversial topic of whether a plumelike anomaly exists in the lower mantle below Iceland. [10] Regional tomography models using dense data coverage retrieved on Iceland [e.g., Bjarnason et al., 1996; Wolfe et al., 1997; Allen et al., 1999; Foulger et al., 2001] show a strong approximately cylindrical low-velocity anomaly beneath Iceland. However, due to the limited width of the seismic station arrays, the outermost parts of these regional models may not be suitable as a reference for an undisturbed mantle, but might be part of a larger anomaly. [11] Low seismic velocities in the upper mantle beneath the North Atlantic region are also found in all global tomography models [e.g., Grand et al., 1997; Grand, 2002; Masters et al., 2000; Mègnin and Romanowicz, 2000; Zhao, 2001], but the area is considerably larger than Iceland and even the maximum of the low-velocity anomaly is not centered on Iceland in all cases. Looking to the upper mantle in more detail, a southward tilted plume in the upper mantle roughly below Iceland can be inferred from an along-ridge section of the somewhat older global tomography model of Zhang and Tanimoto [1993]. They also see a 4 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models low-velocity anomaly located in deeper parts of the upper mantle beneath the Kolbeinsey Ridge. A tilted plume is also found in a N-S section of the global tomography model by Zhao [2001]. This model also shows a weak indication of a branching of the plume head at shallow depth in the direction of the Reykjanes Ridge. A new global tomography model with higher resolution by Montelli et al. [2004] also indicates a seismic slow region below Iceland, slightly tilted to the south, but their model can trace the plume at most down to the mid lower mantle. Concluding, a low-velocity anomaly in the upper mantle in a large area around Iceland is a robust feature and therefore also clearly shows up in the composite S-tomography model smean [Becker and Boschi, 2002], which we used for our global flow model. [12] Apart from tomography, there are a few other seismic observations indicating that the plume conduit reaches down into the lower mantle. Shen et al. [1998, 2002] studied P-S conversions from the 410 km and 660 km discontinuities and discovered a maximum thinning of the transition zone of about 20 km, slightly shifted to the south in relation to the surface volcanic center. Shen et al. [2003] also reported an anomalous region of limited lateral extent at 1050 km depth (which they also observed below Hawaii and which they called a discontinuity), which might be regarded as additional evidence for a deep origin of the plume. [13] For the lower mantle, global models show only a weak low velocity beneath the North Atlantic, and details of the structure are highly variable. A low-velocity anomaly in the lower mantle beneath the North Atlantic similar to the ‘‘plume conduit’’ seen by Bijwaard and Spakman was only found in the P-wave tomography model by Zhao [2001]. One reason for the rather strong differences among tomography models of the lower mantle is due to the fact that seismic travel time residuals are often stronger in the upper mantle compared to the lower mantle. For the BijwaardSpakman data set used here the maximum root mean square velocity variations for the upper 400 km is 7.0%, for the depth interval 400 km to 1400 km it is 1.5%, and for the lower mantle down to 2500 km it is only 0.74%. Similar variations have been observed in other data sets as well and have been explained by the increase of the elastic moduli with depth. Since the variations in the mid lower mantle are so small, the resolved anomalies are strongly biased by assumptions used 10.1029/2006GC001359 for the inversion routine (e.g., damping). Furthermore, one has to keep in mind that the resolution of most of the global models is relatively coarse (e.g., smean is given for spherical harmonics 1–31; the model by Mègnin and Romanowicz [2000] has a horizontal resolution between 450 and 850 km). Bijwaard and Spakman [1999] performed synthetic resolution tests for their model and claimed an overall resolution of the order of 300–500 km. As they used a non-equidistant inversion grid, the model has a somewhat higher resolution close to seismic stations where the grid elements are small. In general, pure body wave models may have less resolution in the upper mantle away from seismic stations compared to the lower mantle. [14] In summary, at least down to a depth of the mid lower mantle most tomography models including smean [Grand, 2002; Ritsema et al., 1999; Masters et al., 2000; Montelli et al., 2004; Becker and Boschi, 2002] show a clear low-velocity anomaly beneath the North Atlantic. Whether this anomaly is related to a plume conduit and can be traced to greater depth cannot be conclusively answered on the basis of tomography models, yet. [15] In addition, a global view of most tomography models below 1400 km down to the core mantle boundary, is dominated by two stronger lowvelocity anomalies further south, beneath western and southern Africa, respectively. These anomalies are important for global flow models and have to be kept in mind when interpreting flow structures in the North Atlantic (see below). 2.2. Mantle Flow Model for the North Atlantic Based on Regional Modeling [16] The mantle flow model for the North Atlantic which is presented in this section is based on a section of the global P-wave tomography model by Bijwaard and Spakman [1999]. The section lies between 49.8°N, 50°W and 85.2°N, 15.4°E with a resolution of 0.6 degrees and is given in 26 nonequidistant depth layers. This section of the mantle includes the above mentioned plume conduit related to Iceland [Bijwaard and Spakman, 1999]. From seismic velocity anomalies within this section internal mantle densities and temperatures have been inferred, assuming a constant conversion factor of 0.3 between density to seismic velocity anomalies [Karato, 1993] and a relation between density and temperature with a depthdependent thermal expansivity as described by Schmeling et al. [2003]. This leads to a relation 5 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Table 1. Definition of Parameters Used in This Study Symbol Parameter Value and Unit a g m r0 DrO – S DrS – P cv fO/S fS/P g KT KT thermal expansivity Grueneisenparameter mantle shear viscosity mean mantle density density jump at the olivine spinel transition density jump at the spinel perovskite transition specific heat at constant volume fraction of material transformed from olivine to spinel fraction of material transformed from spinel to perovskite gravity acceleration bulk modulus at constant temperature above 410 km bulk modulus at constant temperature below 410 km above 410 km below 410 km hydrostatic pressure dynamical pressure temperature flow velocity seismic P-wave velocity K1 1.2 Pa s 4250 kg/m3 196 kg/m3 253 kg/m3 1.3 103 J/kg K % % 9.87 m/s2 135 109 Pa 200 109 Pa 6 3.5 Pa Pa °C, K cm/a km/s dK dP dK dP P p T u vP between seismic velocity and mantle temperature of the form @ ln T 1 KT ð P Þ 1 ¼ 0:3 ¼ 0:3 @ ln vp aT r0 cv g T ð1Þ The notations are defined in Table 1 together with the numerical values of the parameters which are in accordance with a PREM mantle [Stacey, 1992]. All parameters in equation (1) vary with pressure, but the effect is strongest for the bulk modulus KT; therefore all other parameters in equation (1) are set constant, and for KT a relation of the form KT(P) = KT0 + dK dP P(z) is used. This approach leads to buoyancy forces in the deep mantle which are about a factor 4 smaller compared to the upper mantle for the same excess temperature. [17] The temperature anomaly, as derived from the Bijwaard and Spakman [1999] tomographic model is shown in Figure 3. The excess temperature of the structure, defined as the plume conduit by Bijwaard and Spakman, is between 200 and 250K throughout most of the mantle. Such an excess temperature is well in agreement with temperature estimates for the Iceland plume from different observations and modeling approaches (for example, see the review by Ruedas et al. [2006]). From geochemical studies on Icelandic lavas, Schilling [1991] and Nicholson and Latin [1992] estimated a plume excess temperature around 250K. Similar or slightly lower excess temperature had been deduced from seismic velocity variations in the uppermost mantle below Iceland [Allen et al., 1999; Wolfe et al., 1997; Foulger et al., 2001]. Fully dynamical models of plume rise including melting in the plume center [Ruedas et al., 2004; Kreutzmann et al., 2004; Ito et al., 1999; Keen and Boutilier, 2000] obtained somewhat lower excess temperatures of 100 to 180K. Excess temperatures of 200K for the lower mantle are low if compared to fully dynamical global mantle convection models. Such models suggest that lower mantle excess temperatures are higher than upper mantle excess temperatures by a factor of 2–3 [Zhong, 2006]. This suggests that the plume like structures in the lower mantle as inferred from the Bijwaard and Spakman tomography model might not be strongly coupled with the well resolved upper mantle plume. [18] Once the temperature field was estimated, it was used as the driving force for a dynamic model of mantle flow. As we only have a Cartesian 3-D variable viscosity convection code available, we transformed the temperature field to a rectangular box. Using Mercator projection this box was defined as a 4000 4000 2880 km box, representing a region within a sphere bordered by the latitudes and longitudes as given above. This box was embedded in the central part of a larger computational box of 16 000 16 000 2880 km in order to minimize boundary effects and to allow for larger-scale return flows. For this region we solved the Navier-Stokes equation for incompressible, variable viscosity flow n h io 0 ¼ r p þ r m ru þ ðruÞT þ gðr0 a T þ DrOS fOS þ DrSP fSP Þez ð2Þ 6 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Figure 3. Three-dimensional view of tomographic data [Bijwaard and Spakman, 1999] converted to temperature assuming a pressure-dependent thermal expansivity and projected on a Cartesian grid. Notice the uprising low seismic velocity anomaly, originating at the CMB at a position beneath the southern tip of Greenland. This anomaly rises, strongly northeastward inclined, through the lower mantle and intersects with the mantle transition zone beneath the western European margin at the latitude of Great Britain. Through the transition zone itself, no clear continuation could be identified, but a strong upper mantle anomaly is present beneath Iceland. Notations are found in Table 1. This equation contains the effect of olivine phase transitions in the mantle; for the phase parameters we used values according to Akaogi et al. [1989] and treated the phase transitions numerically as described by Marquart et al. [2000]. The thermal expansivity a was assumed to be depth-dependent in the same way as explained in equation (1). The model set up also included a free slip lower and upper boundary with a highly viscous lithosphere according to 30 Ma of cooling. An alternative mechanical boundary condition would be a prescribed kinematic condition with observed plate velocities. However, this would imply exerting external forces to the system in contrast to the stress free surface of the earth. A draw back of the chosen boundary condition is the non-plate like behavior of the model near the surface. A flow model with prescribed kinematic surface velocities will be presented in the next section. [19] Equation (1) was solved by a hybrid spectral/ FD method, described by Marquart et al. [2000] and Marquart [2001]. For the temperature- and pressure-dependent mantle viscosity we used an equation of the type m(T, z) = m0w(z) ecT. The depth-dependent function w(z) and the constant c have been determined by fitting the geoid and gravity data of the EGM96 potential field model [Lemoine et al., 1998] for the North Atlantic for a wavelengths range between 400 and 4000 km. This fitting procedure is the topic of the study by Marquart and Schmeling [2004] where also the numerical modeling is explained. In this study we tested various viscosity functions with gradual or stepwise increases with depth and calculated the flow model and the related gravity anomalies for each of these viscosity distributions. We found the best fit to the observed gravity anomalies for a model with a stepwise viscosity increase by a factor 30 from the upper to the lower mantle and with a moderate dependence on temperature of 1 order of magnitude for 500°C temperature variation. [20] Most dynamic models for the Iceland plume (as for plumes in general) are fully dynamic in the sense that the Navier-Stokes equation and the heat transport equation are solved simultaneously and an idealized plume rise is studied during its tem7 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Figure 4. Mantle flow field at various depths in the North Atlantic based on the temperature field of Figure 3 and a viscosity profile with a stepwise increase by a factor 30 from the upper to the lower mantle and a dependence on temperature of 1 order of magnitude for 500°C. Horizontal flow is shown by arrows (scale in lower figures for upper (left) and lower (right) mantle) and vertical flow is color coded. poral evolution [e.g., Ribe et al., 1995; Ito et al., 1999; Ruedas et al., 2004]. In the approach by Marquart and Schmeling [2004] a buoyancy field was determined from a tomography model and the dynamic response was calculated in a limited area. Such approaches have been widely used for global studies [e.g., Richards and Hager, 1984] but hardly for regional studies and temperature-dependent viscosity. One exception is the study of Mihalffy et al. [2006], who dynamically combined global flow models based on seismic tomography with a regional convection model of the Iceland plume. [21] In the following we discuss the mantle flow field model by Marquart and Schmeling [2004] (with the best fit to the observed gravity anomalies). In Figure 4, vertical flow is shown in color coding and horizontal flow by arrows with length scales different for the upper and lower mantle as indicated in the two lowermost panels in the lower right figure (note that the numerical grid was denser and only every second vector is drawn for clearer visualization). As the numerical grid was four times larger as the area under investigation most of the return flow occurred outside this area. 8 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models In the lower mantle the flow is very slow, less than 1 cm/a, and of long-wavelength nature, mainly characterized by a broad upwelling. The flow in the mantle transition zone shows considerably more detailed small-scale characteristics than in the mantle below and above, with upwellings in a broad region around Iceland and beneath the northern ridge system. Above 300 km, the flow field is dominated by horizontal flow. While Iceland is situated approximately above the center of maximum vertical flow at the transition zone, it is not in the center of radially divergent horizontal flux at shallow depth. Below Iceland, horizontal flow is mainly directed southward, changing from a N-S direction in east Iceland to a more NE-SW directed flow in the western part of the island. Horizontal flow is mainly along-ridge for the Reykjanes Ridge, and vertical flow from greater depth occurs only in the part of this ridge which is adjacent to Iceland. The Kolbeinsey Ridge, in contrast, is dominated by divergent flow with strong vertical flow throughout the upper mantle. In the light of the idealized flow models shown in Figure 2 one may conclude that the flow pattern is explained by a combination of large-scale plume flux and spreading flux to the north. [22] The mantle flow field around Iceland has in the past often been predicted on the basis of numerical or analogue modeling of idealized plume ridge interaction. Ribe et al. [1995] and Feighner et al. [1995] studied the case of a plume, initiated under a spreading ridge, and found that radial plume flux normally predominates for slow spreading velocities as in the North Atlantic. Only in case of a very strong temperature-dependent viscosity along ridge channel flow superimposing plume flow could be obtained [Albers and Christensen, 1996]. 2.3. Mantle Flow Model for the North Atlantic Based on Global Modeling [23] In the dynamic model, described so far, all flow components of global or very large scale nature have been neglected, in order to allow more sophisticated modeling of mantle parameters and to enhance regional resolution. Furthermore, the model parameters, especially the pressure- and temperaturedependent viscosity law was scaled to fit regional gravity observations. On the other hand, effects of the far flow field have not been included. Therefore, in the following test we modified the approach and consider a global flow field in spherical harmonics l = 1 to 30, deduced from a robust tomography model (smean [Becker and Boschi, 2002]). 10.1029/2006GC001359 [24] We varied the free parameters of the model (upper to lower mantle viscosity contrast, seismic velocity to density scaling factor in the upper and lower mantle, and a layering coefficient characterizing the permeability of upper/lower mantle interface) in order to maximize the fit between the observed and modeled geoid at low degree harmonics (l = 2–12). The optimum values of the model parameters were determined by systematic exploration of the model space. The bestfitting model demands somewhat higher viscosity increase from the upper to lower mantle of a factor 100 compared to a factor 30 found for the regional model, and a scaling factor of 0.1 in the upper mantle and 0.25 in the lower mantle. We note that in case of the global model, we consider different boundary conditions at the top boundary and the upper/lower mantle interface than in the regional model. The observed plate motion is imposed as a kinematic boundary condition at the surface and the permeability at the 660-km depth is modulated by a free model parameter, called the layering coefficient, the value of which is determined from the geoid inversion. The layering coefficient allows to study the whole range of partially layered flow models, with a whole mantle flow model (layering coefficient equal to 0) and a perfectly layered flow model (1) as end members (for more details, see Čadek and Fleitout [1999, 2003]). The inversion of the geoid gives the value of the layering coefficient close to 0.5 which means that the flow across the upper/lower mantle boundary is reduced by 50% in comparison with the whole mantle flow model. [25] Zooming in to the North Atlantic region the resulting flow field is shown in Figure 5a with the net rotation toroidal component of degree 1 being removed. Also the global model shows a pronounced upwelling flow in the upper as well as lower mantle. The upwelling region within the upper mantle has a maximum vertical velocity of more than 6 cm/a and is elongated in SW-NE direction, roughly following the North Atlantic ridge system. The upwelling in the lower mantle is less elongated in shape and reaches almost 4 cm/ a in the upper part. The horizontal flow in the upper mantle is characterized by a superposition of a ridge-perpendicular and a radial divergence flow component (compare Figures 2a and 2c), on which a large-scale northerly flow is superimposed. In contrast, the lower mantle shows a large-scale southerly flow, which is strongest in the lower part of the lower mantle. These large-scale upper and lower mantle flow components seem to correspond 9 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Figure 5. Mantle flow field at various depths in the North Atlantic from the globally derived flow field based on the tomography model smean and a global fit of the geoid. The optimal model has a viscosity profile with a stepwise increase by a factor 100 from the upper to the lower mantle and a layering coefficient of about 0.5. Horizontal flow is shown by arrows (scale below the figures, different for upper and lower mantle), and vertical flow is color coded. (a) Flow model in spherical harmonics 1 to 30 with the toroidal mode l = 1 removed. (b) High pass filtered flow model with spherical harmonics between 9 and 30. to the large-scale upwelling flow induced by the African superplume. [26] It is interesting to note that the seismic lowvelocity anomalies identified by the tomography model smean show a lateral shift between the upper and lower mantle: As can be seen in Figure C1 of Becker and Boschi [2002], the upper mantle anomaly is centered beneath Iceland, while the (weaker) anomaly in the upper part of the lower mantle is shifted toward the SE, similarly to the Bijwaard and Spakman [1999] model. In contrast, the upwelling flow in the upper and lower mantle does not show this lateral shift (Figure 5a). [27] For a better comparison with the regional flow model, Figure 5b shows a high pass filtered version of the flow field of the global model (harmonic degrees 1 to 8 are subtracted). The upwelling flow structures within the lower and upper mantle are 10 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Figure 5. (continued) even more isolated compared to the unfiltered case of Figure 5a, but the flow velocities are damped. The upwelling flows in the upper part of the lower mantle and in the upper mantle are clearly interrelated and may be associated with the Iceland plume. The horizontal component of the high pass filtered flow (Figure 5b) is considerably different from the unfiltered field of Figure 5a: the largescale northerly flow within the upper mantle and southerly flow within the lower mantle vanished. Without this mantle wind, the horizontal flow clearly converges and feeds the elongated upwelling region at mid lower mantle depth, and diverges from a point near western Iceland in the sublitho- spheric upper mantle. It is interesting to note that the horizontal feeding flow takes place at 1500 km depth and not near the core mantle boundary. 2.4. Comparison of Flow Fields Based on Regional and Global Modeling [28] We now compare the characteristic features of the flow fields based on regional and global modeling (Figure 4 and Figures 5a and 5b). [29] Starting with the lower mantle, the vertical upwelling flow structures are remarkably similar, both strongest in the upper part of the lower mantle, and situated at almost identical locations. 11 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models However, lateral feeding of the upwelling flow (i.e., the ‘‘source region of the plume’’) reaches down to greater depth in the regional model (compare 1500 and 2540 km depths panels of Figure 4 and Figure 5b). As expected, the southerly mantle wind in the global model (Figure 5a, depths 1500 km and 2540 km) is not present in the regional model. It is also remarkable that despite significant differences in model assumptions (laterally variable versus stratified viscosity, 30 versus 100 times viscosity jump between upper and lower mantle, an olivine-spinel-perovskite phase transition versus the assumption of a layering coefficient), both models show an increase of upwelling velocity between lower and upper mantle by a similar factor of about 1.5. [30] It is interesting to note that the regional model shows a lateral shift between the upper and lower mantle upwellings, associated with a horizontal flow component near 660 km depth (Figure 4), while in the global model this shift is not observed (Figure 5b). This is surprising, as both tomography models show such a shift. We attribute this different behavior at least partly to the lateral variation of the viscosity in the regional model, which more effectively focuses the upwellings into the hot, low viscosity regions. [31] Comparing the upper mantle flow structures clearly show the different resolution of structures: in the regional model different upwelling regions beneath Iceland and beneath the Kolbeinsey ridge can be distinguished, which seems to be beyond the resolution of the global model. The different surface boundary conditions (kinematic plate velocities versus free slip) are also clearly visible when comparing the 200km and 100 km depth panels of Figure 4 and Figure 5b: In the model with kinematic boundary conditions the high asthenospheric velocities drop to the slower plate velocities on top. This drop is associated with a strong vertical shear flow, which has a considerable effect on the LPO (see below). In contrast, in the free slip model surface velocities are higher, and no vertical shear flow is visible. Below 100 to 200 km depth the effect of the difference in surface boundary conditions becomes small. [32] It is also interesting to compare our flow field models with the flow field for the North Atlantic of Mihalffy et al. [2006]. As this is also a global flow model it closely resembles the flow field of Figure 5a, and shows all features discussed above such as the strong upwelling through the lower and upper mantle centered beneath Iceland and the 10.1029/2006GC001359 northerly mantle wind induced by the large-scale upwelling beneath South Africa. 3. Anisotropy in the North Atlantic Region [33] In this section seismic anisotropy models based on seismic observation will be compared to seismic anisotropy as predicted by the different flow models. 3.1. Seismic Anisotropy Models [34] Early studies on seismic anisotropy gave inconsistent results for the North Atlantic regions. The map by Montagner and Tanimoto [1991] indicates a weak frequency-(depth)-dependent anisotropy with a predominantly NW-SE fast seismic direction for the entire region. However, another global study on azimuthal seismic anisotropy using long-period SS - S times [Woodward and Masters, 1991] did not give indication for upper mantle anisotropy in the North Atlantic. Yang and Fischer [1994] analyzed SS arrivals for shear-wave splitting in and found some indication of upper mantle anisotropy beneath the Atlantic, with the inferred orientation for the central North Atlantic in approximate agreement with the global anisotropy model of Montagner and Tanimoto [1991]. A newer global study by Ekström [2001] shows for 50s to 150s periods (maximum sensitivity between 80 and 250 km) also a constant WNW-ESE direction for the region around Iceland, but their resolution does neither allow to reveal any details since azimuthal anisotropy studies on a global scale only provide the averaged effect over large areas. [35] More recently an inversion based on Rayleigh waves was done by Debayle et al. [2005] and by Pilidou et al. [2005] to infer seismic wave speed anomalies including anisotropy for the upper 500 km of the mantle. They found also an anisotropy field in NW-SE direction over most of the North Atlantic but rotation to nearly E-W slightly north of the Charlie-Gibbs Fracture Zone (southward of a latitude of 56°N) and north of 82°N, and a predominately N-S direction across the Greenland shield. [36] Another observation based anisotropy field has been provided by Jeannot Trampert [Trampert and Woodhouse, 2003] on the basis of Rayleigh waves of 40s period with resolution of spherical harmonic degree of 8. This model generally indi- 12 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models cates more WNW-ESE directions at latitudes south of Iceland even across the Greenland Shield. [37] Better lateral resolution than the global models can be expected from a surface wave dispersion study of a large cap around the arctic by Levshin et al. [2001]. For a period of 50s their map indicates a general W-E to WNW-ESE fast seismic direction and widely agrees with the global studies, with the exception that they report a clear N-S fast direction in the northern part of the Greenland shield. For a 100s period, which is better to compare with our anisotropy model, their map indicates considerably more spatial variations, with a NW-SE direction north of Iceland up to the Knipovich Ridge. [38] In conclusion still considerable differences are present between the anisotropy directions in the North Atlantic published by various authors. One reason for this might be the sensitivity of the inversion to the damping factor used, as discussed by Levshin et al. [2001]. [39] Focussing on Iceland, a number of seismic anisotropy measurements have been done. Anisotropy observations on Iceland at very shallow (crustal) depth [Menke et al., 1994] show ridge parallel anisotropy in the SW. However, one should keep in mind that these shallow layers cannot be compared to our model and might be related to crustal accretion processes. New detailed S-wave anisotropy studies probing the upper mantle [Bjarnason et al., 2002; Li and Detrick, 2003; Xue and Allen, 2005] neither reflect a spreading-parallel nor a radial pattern across Iceland. Bjarnason et al. [2002] observed a fast direction in NNW-SSE direction in eastern Iceland and of NNE-SSW direction in western Iceland. [40] Li and Detrick [2003] studied Rayleigh-wave anisotropy and observed a few flips in the orientation of the fast axis beneath W-Iceland above a depth of about 60 km. These different anisotropy directions mainly in the thick crust are explained as being due to the combined effect of fossil spreading ridge jumps and a frozen-in crystal orientation and cannot be linked to the numerical flow model. At a depth greater than 80 km (better at periods greater than 60s), Li and Detrick [2003] also found a NE-SW fast direction in western Iceland, and an indication for NW-SE direction in eastern Iceland though the signal is more unclear. They also reported only weak seismic anisotropy beneath central Iceland at a depth greater 50 km, which they interpreted as an indication that buoyant upwelling may control the orientation of crystals. Though weak, Li and Detrick [2003] found the 10.1029/2006GC001359 anisotropy direction in this central part to be consistently rotated by 90° to the directions below the other parts of Iceland, being nearly perpendicular to the rift axis. While this strong variation in azimuthal anisotropy on small scale is difficult to explain by mantle flow, it might reflect processes of different kind, such as the presence of a melting zone at a depth of 80 to 100 km with water release, which would lead to an alignment of the b-axis of olivine with the flow direction and the a-axis perpendicular [Mizukami et al., 2004]. An alternative model has been proposed by Ruedas and Schmeling [2006] in which the change in anisotropy is explained by a dynamically controlled change in deep dyke or channel orientation. [41] On the basis of the above discussion we compare the Levshin et al. [2001] anisotropy model with the predictions of our regional flow model. Although the resolutions are quite different, it is still worthwhile to compare our predictions with the findings for Iceland by Li and Detrick [2003]. On the other hand, it is consistent to compare our global flow model with a global rather than a regional anisotropy model. Therefore we choose the recent model of Debayle et al. [2005] as the most appropriate mode for comparison. 3.2. Mantle Flow and Seismic Anisotropy [42] From laboratory and theoretical studies it is well known that plastic deformation of mantle rocks may lead to strain induced lattice preferred orientations (LPO) of olivine crystals (alignment of the a-axes) which results in seismic anisotropy [e.g., Nicolas and Christensen, 1987; Mainprice et al., 2000]. As LPO is a function of the finite deformation associated with mantle convection, and the long axis of the finite strain ellipsoid (fse) often points into the flow direction, seismic anisotropy has in the past often been interpreted as a direct image of flow directions [Tanimoto and Anderson, 1984] and a measure for mantle convection [e.g., Ribe, 1989; Russo and Silver, 1994; Tommasi, 1998; Blackman and Kendall, 2002; Becker et al., 2003]. However, this is only a rough approximation, since the fse may locally strongly depart from the flow directions, e.g., near stagnation points [McKenzie, 1979], and LPO and the long axis of the fse only converge after sufficiently high strain [Kaminski and Ribe, 2002]. In the models presented below, the differences and similarities between flow direction, the long axis of the fse and fast axis of LPO will be discussed for a particular flow case. 13 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models [43] We determined the long direction of the fse as well as the LPO for an assemblage of olivine grains with three slip-planes undergoing straining. We followed the formalism by Kaminski and Ribe [2001], who determined this direction in a statistical sense, following the assemblage of initially arbitrarily oriented olivine grains along various streamlines. For each grain three perpendicular slip-planes were assumed and each can deform by intra-crystalline slip [Ribe and Yu, 1991] and dynamic recrystallization. Dynamic recrystallization depends on the dislocation density on each slip plane which is a function on the applied stress and the orientation of the slip plane. Dislocation creep may lead to grain boundary migration and formation of stress free sub grains and by that changing the overall elasticity tensor of the various aggregate assemblages. The detailed formalism as well as the various parameters are described in a number of papers [Kaminski and Ribe, 2001; Kaminski, 2002; Kaminski and Ribe, 2002] and will not be repeated here. [44] The flow field as shown in Figure 4 was assumed to be steady state (for a time period of 10 Ma). Further assumption for the anisotropy calculations are: 100% olivine grains, and initial positions of the olivine assemblages not deeper than 420 km, and to result in a finite strain of at most 10 at the positions where the LPO is determined. The magnitude of anisotropy may be overestimate because the mantle also contains other minerals. 3.3. Comparison of Modeled and Observed Seismic Anisotropy for Regional Models [45] From the flow model shown in Figure 4 it is obvious that horizontal flow dominates above 300 km depth, except for the area around Iceland and along the Kolbeinsey Ridge, where strong uprising flow is present with about the same magnitude as horizontal flow. This is consistent with the observation by Montagner and Tanimoto [1991], who studied anisotropy on a global scale and showed that azimuthal anisotropy is important to depths of 300 km. Therefore we determined the anisotropy at a depth of 75 to 175 km, which is just below the lithosphere. The longest axis of the fse and the locally averaged LPO directions are given in Figure 6 for a depth of 175 km. The length of these axes represents the natural strain (ln(a/c)) in case of fse and the percentage of anisotropy (non isotropic part of the elasticity tensor) for LPO. The vertical components of these axes are coded by color, the horizontal components are shown as bars. 10.1029/2006GC001359 [46] The preferred directions for the fse and the LPO in Figure 6 are quite different. The long axis of the fse as well as the fast axis of LPO are determined by the accumulated strain along the streamlines above 420 km and, in case of the LPO, by the ability of olivine slip planes to adjust to the strain field changing along the streamline. In the central upwelling region the flow is characterized by vertical uni-axial compression, leading to horizontal long strain axes with arbitrary directions, although a tendency of radially diverging fse directions is visible close to Iceland. In the peripheral area the flow is still directed radially outward, but it slows down with increasing distance from the plume. As expected this flow type produces flow-perpendicular stretching with the long fse axes tangential to the center of upwelling. This is clearly visible in the western part of the model. A further flow component of our model is associated with a radially outward directed, horizontal shear flow (at shallow depth the radial flow velocities are faster than at greater depth). Because dynamic recrystallization leads to faster adjustment of the preferred directions in respect of the macroscopic flow field [Kaminski and Ribe, 2002], the LPO adjusts faster to this radial shear flow than the fse. As a result the horizontal flow vectors and the fast azimuthal directions of the fast axis of olivine point in similar directions, however, in areas of strong vertical flow large deviations are possible and even for some areas outside strong upwelling (e.g., south of Iceland) deviations up to 90 degrees are possible. [47] The general appearance of the anisotropy field is characteristic for a large-scale upwelling, with its center north of Iceland. The area to the north of Iceland and along the northern ridge system, where the flow is essential vertical, is characterized by weak horizontal anisotropy of varying direction. In the Atlantic south of Iceland, azimuthal anisotropy changes from NW-SE close to the European continent to NE-SW across the Reykjanes Ridge. The anisotropy model, presented here, would further predict a mainly NW-SE direction of fast seismic velocity in the mantle below the eastern Greenland shield, and weaker, varying directions in the western and southern part. Variations around an E-W anisotropy direction are also found in the southerly adjacent oceanic region. [48] We now compare our modeled fast LPO directions to those obtained by Levshin et al. [2001] for moderate damping. We relate Rayleigh wave periods of 50s to a depth for the LPO 14 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Figure 6. (bottom) Regional mantle flow model at a depth of 150 km, (middle) long axis of the finite strain ellipsoid, and (top) LPO of olivine at a depth of 175 km based on the 3-D flow model. vertical components are indicated by color. direction of 75 km and 100s to a depth of 125 km (Figures 7a and 7b). Levshin et al. [2001] found that a high damping factor leads to a preference of the long wavelengths parts of the field. Since in our regional flow model, the maximum wavelength is restricted to 1600 km, and no global wide largescale flow is present, it is more consistent to compare our modeled anisotropy directions to regional anisotropy studies with a moderate damping factor. [49] For shallow depth (Figure 7a) both, modeled LPO directions and seismic anisotropy directions are more irregular and show stronger small-scale variations. In Figures 7a and 7b we have also marked in light gray the regions where the modeled azimuthal directions of the fast LPO and the 15 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Figure 7. Horizontal component of LPO directions of the regional flow model (black bars) and azimuthal anisotropy (red bars) in the North Atlantic region based on Rayleigh waves after Levshin et al. [2001] for periods of (a) 50 s and (b) 100 s. Regions where the fit is better than 45° are indicated in light gray. observed seismic anisotropy directions fit better than 45°. [50] For both periods a robust feature is a good agreement of the azimuthal directions in large areas north, east and SE of Iceland. No coincidence between the azimuthal directions for both periods is found south of Iceland in a narrow zone along the northern end of the Reykjanes Ridge, in the eastern part of the North Sea, in the oceanic area south of Greenland, and to the east of the CharlieGibbs Fracture Zone. [51] Along the Reykjanes Ridge our modeled LPO directions are mainly ridge parallel, in agreement with the predicted along ridge shallow flow. The seismic anisotropy directions show at most in the southern part of the Reykjanes Ridge a ridge 16 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Figure 8. Horizontal component of LPO directions of the regional flow model (black bars) and azimuthal anisotropy (red bars) in the area of Iceland based on Rayleigh waves after Li and Detrick [2003] for periods of (a) 50 s and (b) 67 s. parallel direction, but closer to Iceland clear ridge perpendicular directions are found. Roughly ridge perpendicular directions are found for the ridges north of Iceland, both, in our modeled LPO directions and the seismic anisotropy. [52] Even though the regional numerical flow model does not resolve any lateral variations on length scales much smaller than 100 km, a comparison to anisotropy observations on Iceland might be of interest. [53] Figures 8a and 8b show a close-up of the modeled horizontal components of the LPO vector around Iceland at 75 and 125 km depth together with the azimuthal seismic anisotropy directions obtained by Li and Detrick [2003] for Rayleigh wave periods of 50s and 67s. Since Iceland is not directly in the center of the large-scale diverging flow, which is about 150 km north of Iceland, the LPO fast directions change only moderately across Iceland from NNW-SSE direction on the eastern side to more NE-SW direction on the western part. By comparing our fast LPO directions to the seismic anisotropy directions of Li and Detrick for 50s (Figure 8a), we found a good agreement between the two data sets. For 67s of Rayleigh 17 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Figure 9. Horizontal component of LPO directions of the global flow model (black bars) and azimuthal anisotropy (red bars) in the North Atlantic region based on Rayleigh waves after Debayle et al. [2005]. wave periods however, the eastern part of Iceland behaves quite differently. However, by performing a sensitivity study, Li and Detrick stated that their results in the eastern part of Iceland are not robust while the NNW-SSE directions in the western part are reliable. [54] The travel time differences between the fast and the slow S-wave which they observed is larger in the eastern part of Iceland and had been interpreted as due to a 100–200 km thick anisotropic layer under E-Iceland. Though the fast directions they observed are very similar to the fast olivine directions modeled here and may very well be explained by a slight rotation, they defined two different anisotropic domains with a divide to be located about 100 km west of the neo-volcanic zones and interpreted this finding as an indication of a former spreading center still conserved due to uncompleted crystal reorientation. 3.4. Comparison of Modeled and Observed Seismic Anisotropy for the Models [55] On the basis of the globally derived flow field we also determined seismic anisotropy directions and compared them to global observation based anisotropy directions [Debayle et al. [2005]. Their inversion is based on surface wave observations and is done for seismic anomalies including anisotropy. While it would be consistent to use their data on seismic anomalies also for the tomography model, this can hardly be done, since their data set is rather shallow (down to 500 km) and not suitable for estimation of deep mantle density anomalies. While the model parameters are chosen (or better found) in a way to give the best fit to the longwavelength geoid, the fit to the anisotropy is estimated for the North Atlantic region only. Our best model is shown in Figure 9, where the black bars indicate the modeled anisotropy and the red bars indicate the observations. The overall fit is 33.7°, which is not too bad, since inspecting Figure 9 in more detail, it becomes obvious that the misfit is mainly attributed to the Greenland Shield Area and the northern part of Fennoscandia and the adjacent Barents Sea. For the Greenland shield the azimuthal anisotropic in the upper 200 km might not be related to present mantle flow, nor are the density and viscosity conditions for this thick shield properly modeled in our numerical approach. [56] As for the regional model a good fit is found in a broad region of the North Atlantic north, east and SE of Iceland, as well as for Iceland itself. In the area NE of Iceland directions are roughly perpendicular to the ridge system. As in the regional flow model (Figures 7a and 7b), a significant region associated with the Reykjanes Ridge area south west of Iceland shows a pronounced misfit. 3.5. Discussion of the Anisotropy Results [57] Although the regional and global flow models show satisfactory agreement in their flow fields 18 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models (see section 2.4), their predictions for LPO are more different. While both approaches are characterized by circular or elongated regions of upwelling and diverging flow beneath Iceland, only the regional model shows divergent LPO directions, while the global model is more characterized by a roughly ridge-perpendicular LPO direction. We attribute this difference to (1) the higher sensitivity of the LPO to strain rates rather than flow directions, in particular to the vertical shear strain rate at shallow depth associated with the imposed kinematic boundary condition which is absent in the regional free slip model (compare flow fields shown in Figures 5 and 7), and (2) with the NE-SW elongation of the upwelling region present in the global model. In the Atlantic region northeast of Iceland most seismic anisotropy models roughly agree on a ridge perpendicular fast direction, which we found for both, our global and our regional model. [58] The comparisons shown in sections 3.3 and 3.4 reveal a few robust features: Fast directions of the seismic anisotropy models and both flow models agree well in large sections to the north, east, and SE of Iceland. We therefore conclude that in these regions the observed seismic anisotropy is caused by LPO with fast a-axes oriented in NW-SE directions, induced by the North Atlantic upwelling flow associated with the Iceland plume and the thermal anomalies beneath the Kolbeinsey Ridge. [59] Another robust feature seems to be the pronounced misfit for the Greenland shield and SW of Iceland including the Reykjanes Ridge (compare Figures 7a, 7b, and 9, as well as in other comparisons not shown here). One explanation might be that in these regions the mechanisms producing the observed azimuthal anisotropy may be different from the one used in our model. For the Greenland shield seismic anisotropy down to the base of the thick lithosphere at about 200 km depth may not exclusively be generated to the ongoing mantle flow but may be inherit from older dynamic processes. For the Reykjanes Ridge and closely adjacent regions the presence of water may be important. In the presence of water olivine aggregates have been found to exhibit B-type anisotropy, in which the fast a-axes are oriented perpendicular to the shear flow within the shear plane [Kneller et al., 2005]. Thus, if applied to our regional flow model (Figures 7a and 7b), fast axes in such water bearing mantle regions would have to be flipped by 90°. Because for the Kolbeinsey Ridge the agreement between observed and modeled anisotropy 10.1029/2006GC001359 does not require such a flip, we might speculate that we have B-type anisotropy south of Iceland and A-type anisotropy north of it. This would suggest that high degree melting beneath the Kolbeinsey ridge would have extracted all the water, while it might be still present in the mantle beneath the Reykjanes ridge. We will address the issue of different temperatures within the mantle regions north and south of Iceland in the following section. 4. Comparison to Geochemical Observations [60] It might be of some interest to relate our findings on temperature distribution and mantle flow to some geochemical data obtained by drilling or dragging along the North Atlantic Mid-Ocean Ridge north of the Charlie-Gibbs-Fracture Zone [e.g., Hart et al., 1973; Schilling, 1973; Mertz et al., 1991; Devey et al., 1994; Hanan et al., 2000]. [61] First we summarize our main results for the regional temperature and flow model (Figure 4 and Figure 10) and then relate them to geochemical observations: We found a strong temperature anomaly below Iceland and the northwesterly adjacent oceanic region (Figure 10, 100–630 km) which drives an upwelling flow and which seems to be weakly connected to a deeply rooted lower mantle anomaly southeast of Iceland (light upper part of the lower mantle anomaly visible in Figure 3). In our regional flow model the upwelling region of the lower mantle feeds material to the upper mantle by an obliquely northwest oriented flow (see the horizontal flow component at 680 km depth in Figure 4). A second pronounced temperature anomaly is located in the upper mantle at a depth of about 200–300 km below the Kolbeinsey and southern Mohns Ridge (Figure 10). This anomaly has no direct deep seated root, although it might be weakly connected to the first anomaly and its lower mantle feeding system (Figure 4). (It should be noted that the flow field represents only a snap shot of a time-dependent flow, and statements about feeding and ‘‘flow connections’’ must be handled with care). A super adiabatic temperature of 200 K was estimated using equation (1) for the Iceland centered anomaly and a value of 120 K for the Kolbeinsey-Mohns Ridge anomaly. Temperature anomalies along the Reykjanes Ridge exist too, but are shallower than 100 km and the super adiabatic temperature increase is less than 100 K. These temperature anomalies should lead to excess melting, thick crust and shallow bathymetry. A thick crust in excess of 24 km has not only been 19 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models 10.1029/2006GC001359 Figure 10. Temperature anomaly in the upper mantle beneath the North Atlantic derived from the tomography model of Bijwaard and Spakman [1999] and the seismic velocity temperature relation of equation 1. 20 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models repeatedly reported for Iceland [e.g., Darbyshire et al., 2000] but is also well established for the adjacent ridges. Both the Kolbeinsey and the Reykjanes Ridge show some morphological features which are unusual for slow spreading ridges: overlapping spreading centers, absence of a median valley and a ridge topography untypical for the bulk part of the Mid-Atlantic Ridge System [Sinha et al., 1998; Kodaira et al., 1997]. All these features indicate a high production rate of magma [Kodaira et al., 1997] and a crustal thickness in excess of about 9 km [Detrick et al., 1995]. For the Reykjanes Ridge at 61°4400N, Searle et al. [1998] found a thickness of the crust of 11.2 km and Kodaira et al. [1997] observed a crustal thickness at the Kolbeinsey ridge of 10 km at 70°2000N, which corresponds with a water depth of not more than 500 m [Moeller, 2002]. [62] On the basis of Hf and Nd isotopes ratios and trace element data from various mid-ocean ridge basalts, Salters [1996] found indications that the onset of melting for the Kolbeinsey Ridge is deeper than for normal oceanic ridges. Low Na2O and high FeO contents have been observed for Kolbeinsey Ridge basalts [Moeller, 2002; Humler and Besse, 2002], being a clear hint for a high degree of partial melting over a large depth range of a depleted source. Corresponding temperature estimates of 1460°C for Kolbeinsey Ridge basalts at melting [Humler and Besse, 2002] are in fairly good agreement with the temperature of 1440°C below the Kolbeinsey Ridge at 250 km depth, which we estimated for our flow model assuming an adiabatic background temperature of 1320°C at that depth. Extensive melting and an anomalously high temperature along the Kolbeinsey Ridge is also supported by the observation of a high depletion in rare earth elements (REEs) [Schilling et al., 1983; Haase and Devey, 1994; Devey et al., 1994]. Since REEs are incompatible with mantle rocks, they become extracted with the first melts produced, thus further melting only ‘‘sees’’ an increasingly depleted source. Kolbeinsey Ridge basalts are even more depleted in the light REEs than Reykjanes Ridge basalts. This extreme depletion has even been interpreted as being produced by the highest degrees of partial melting found anywhere in the world’s oceans [Klein and Langmuir, 1987]. [63] Another important question addresses the material supply from the lower to the upper mantle beneath Iceland and the amount of deep mantle material injected into the ridge system. Our flow model suggests that at least in the vicinity of 10.1029/2006GC001359 Iceland the deep mantle upwelling would lead to deep mantle tracers exposed in extruded basalts. On Iceland, a plateau-shaped maximum of 3He/4He is well established [e.g., Breddam et al., 2000], and commonly regarded as an indication for at least some deep mantle material in the melting source. The detailed compositions of basalts on Iceland, however, have been found to be very heterogeneous indicating that beside a common MORB source a number of non-MORB sources are involved [e.g., Hanan and Schilling, 1997; Hanan et al., 2000; Stracke et al., 2003; Thirlwall, 1995; Fitton et al., 1997, 2003; Kempton et al., 2000]. Our flow model supports the common geochemical view that the latter sources might at least partly originate from the lower mantle. [64] Since in the shallow upper mantle an essentially radial flow is predicted around Iceland and to the south of it, ridge parallel flow is a consequence along the Reykjanes Ridge. Thus we expect a decreasing influence of deep mantle material tracers away from Iceland along Reykjanes Ridge rather than a sharp transition. This is in agreement with the steady decrease of several geochemical observables [see Murton et al., 2002] along the ridge away from Iceland, being characteristic for ocean island basalts or deep mantle influence, such as the La/Sm ratio [Schilling, 1975], or the ratio of 3 He/4He and 22Ne/21Ne [Dixon et al., 2000]. [65] For the Kolbeinsey Ridge our model predicts divergent flow driven by a separate upper mantle heat source with at most only a weak connection to the deep mantle source to the south. Thus we expect a geochemical signature for Kolbeinsey basalts typical for extensive MORB melting, but deep mantle tracers should be essentially absent. Very much in line with our model Mertz et al. [1991] could not find MORB-plume mixing indications north of the Tjoernes Fracture Zone (TFZ) along the Kolbeinsey Ridge. In contrast to basalts from the Reykjanes Ridge south of Iceland, close to the TFZ a sharp decrease in the La/Sm ratio is observed. [66] A number of studies [Macpherson et al., 1997; Botz et al., 1999; Breddam et al., 2000] investigated noble gas concentrations in samples from the Kolbeinsey Ridge and generally observed remarkably constant isotope ratios for He, Ne, and Ar along the ridge with the exception of a maximum in 3He/4He ratio at the Tjoernes Fracture Zone. However, while Ne and Ar isotope ratios do not indicate a deep mantle source, 3He/4He values are significantly greater than typically found in 21 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models N-MORB. The obviously high degree of melting and deep melt source along Kolbeinsey Ridge has been interpreted in the past as due to the proximity of the thermal anomaly associated with the Iceland mantle plume. However, the absence of latitudinal variations for most geochemical trace elements do not indicate a gradual plume-MORB mixing. Schilling et al. [1999] presented a review about Pb, Nd, Sr, and He systematics along the Kolbeinsey Ridge and claimed to see some plume mixing across the TFZ and defined the boundary of the plume influence about 300 km north of Iceland, which would even fit better to our flow model (see Figure 4). [67] The superadiabatic temperature of about 120K at 400 km and above which we estimated from the Bijwaard and Spakman [1999] tomography model for the Kolbeinsey and the southern Mohns Ridge is in agreement with a deep melt source with a high degree of melting. The related flow model shows nearly uniform upwelling along the Kolbeinsey Ridge at depth and ridge perpendicular flow at shallow depth which fits to the observation of hardly any along ridge variations in basaltic composition and noble gas isotope ratios. However, whether the relatively high 3He/4He ratio found along Kolbeinsey is indeed a tracer of deep mantle material and may be explained by a lateral connection to the Icelandic anomaly remains an open question. 5. Discussion and Conclusion [68] Dynamic models of temperature anomalies and mantle flow in the North Atlantic region between the Charlie-Gibbs and Jan-Mayen Fracture Zones based on the regionalized P-wave tomography model of Bijwaard and Spakman [1999] and on the global, long-wavelength S-wave tomography model smean [Becker and Boschi, 2002] were presented and compared. The regional temperature model predicts an anomaly throughout the upper mantle below Iceland and beneath the westerly adjacent section of the mantle and vanishes at the Greenland margin and a second anomaly between 400 and 100 km depth below the Kolbeinsey and partly Mohns Ridge. The long-wavelength model smean does not resolve these features, but shows a strong and broad low-velocity anomaly in the upper mantle of the North Atlantic centered at Iceland. From the regional flow model we deduce that the resulting mantle flow has a strong upwelling component beneath Iceland of more than 4 cm/a, however, beneath Iceland the flow is oblique in S or SW direction, turning horizontally at shallow 10.1029/2006GC001359 depth into ridge parallel direction along the Reykjanes Ridge. In contrast, the Kolbeinsey Ridge is subjected to strong vertical flow diverging ridge perpendicular above 200 km. The global flow model is dominated by a NE-SW elongated upwelling region associated with a ridge perpendicular component all over the North Atlantic. If the idealized flow models on Figure 2 are recalled, we conclude that the flow in the asthenosphere beneath the North Atlantic can be characterized by a large-scale radial plume flux around Iceland, superimposed with a ridge parallel component in the SW-parts of Iceland and the Reykjanes Ridge, and a larger-scale ridge perpendicular component being a consequence of plate divergence and the large-scale NE-SW elongated upwelling flow in the upper mantle (see Figure 5). [69] Pipe-like flow of plume material along the Reykjanes Ridge rift axis south of Iceland may also occur in addition to the flow model presented. Such a flow type has been proposed on the basis of the observation of geochemical signature and V-shaped pattern in bathymetry and gravity anomalies south of Iceland first by Vogt [1971] and been modeled by Albers and Christensen [2001] and Ito [2001], but the model approach used here cannot resolve such small-scale features. Along ridge channel flow demands a localized strong viscosity reduction and will thus be largely decoupled from the (upper) mantle wide circulation. Therefore along ridge channel flow might simply add to the flow field shown in Figure 4. [70] A strong seismic low-velocity anomaly in the upper mantle directly below Iceland is seen in the large-scale smean [Becker and Boschi, 2002] and in the Bijwaard and Spakman [1999] model and even clearer in regional tomography models. Wolfe et al. [1997] used the data obtained in the ICEMELT experiment [Bjarnason et al., 1996] and detected an approximately circular vertical structure between 100 and 400 km centered beneath Vatnajökull, and estimated its radius to about 150 km and the excess temperature to be 200K which is in very good agreement with the estimates obtained in our study (see Figure 3 and Figure 10). However, this anomaly of limited size, though hot, is not large enough to drive the bulk of the upper mantle flow. In the view of our flow models, the plume below the North Atlantic rooting down (see Figure 4) into the lower mantle is a large feature of the upper mantle possibly centered to the west of Iceland, whereby the anomaly below Iceland is a hot, but smaller side branch. Rapid vertical flow within the sub Iceland 22 of 26 Geochemistry Geophysics Geosystems 3 G marquart et al.: flow and anisotropy models anomaly is likely, but beyond the resolution of our model. The upper mantle anomaly is likely to be fed by a lower mantle upwelling centered east of Iceland, implying a significant horizontal flow components near 660 km depth as seen in the regional flow model. [71] In summary the following conclusions can be drawn from our dynamic flow models: [72] 1. Low seismic velocity anomalies in the upper mantle and upper part of the lower mantle beneath Iceland as seen by the regionalized P-wave model of Bijwaard and Spakman [1999] and the global S-wave model smean [Becker and Boschi, 2002] are associated with regional-scale upwelling flows at least down to mid lower mantle depth. [ 73 ] 2. The upwellings within the upper and lower mantle are probably laterally shifted, resulting in a pronounced horizontal flow component near 660 km depth. [74] 3. At least two distinct upwelling flow regions are identified by the regional flow model, one situated beneath Iceland extending to NW of Iceland and one beneath the Kolbeinsey ridge. [75] 4. Modeled seismic anisotropy based on flow induced LPO is sensitive to dynamic flow characteristics such as kinematic versus free slip boundary conditions: While the free slip flow model is dominated by seismically fast directions diverging from Iceland and the Kolbeinsey Ridge, the kinematic boundary condition model shows predominantly ridge-perpendicular fast directions for most of the area. [76] 5. A satisfying fit to observed seismic anisotropy directions is achieved in several but not all regions. Robust features include the following: (1) a good fit in a broad region north, east, and SE of Iceland indicates that the NW-SE anisotropy observed in this area is induced by the Iceland plume (i.e., the large-scale North Atlantic upwelling flow), (2) a good fit beneath Iceland indicates the possible importance of a SW oriented flow beneath western Iceland, and (3) a robust misfit between the regional models and observations in the Reykjanes ridge area leads to the speculation that in this region B-type anisotropy with the fast axis perpendicular to the flow direction may be dominating, possibly indicating the presence of water. Acknowledgments [77] Thanks are extended to Wim Spakman for giving us access to his tomography model data and to Edouard Kaminski 10.1029/2006GC001359 for making his code DRex available to us. 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