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Earth and Planetary Science Letters 181 (2000) 409^428 www.elsevier.com/locate/epsl Structure of the crust and uppermost mantle of Iceland from a combined seismic and gravity study Fiona A. Darbyshire *, Robert S. White, Keith F. Priestley Bullard Laboratories, University of Cambridge, Madingley Road, Cambridge CB3 0EZ, UK Received 23 February 2000; accepted 6 June 2000 Abstract We present a map of the depth to the base of the upper crust and the total crustal thickness across Iceland constrained by seismic refraction results, receiver function analysis and gravity modelling. Upper crustal thicknesses (as è .G. Flövenz, J. Geophys. 47 (1980) 211^220) lie in the range of approximately 2^11 km, with the thinnest defined by O upper crust below active and extinct central volcanoes and the thickest upper crust close to the flanks of the rift zones. The thickest crust (40^41 km) lies above the centre of the Iceland mantle plume, where active upwelling and high mantle temperatures enhance melt production. Thick crust (V35 km) is also found in eastern Iceland, between the current plume centre and the Faroe^Iceland Ridge. Elsewhere, the crust thins away from the plume centre. The thinnest crust (920 km) is found in the active rift in the northern part of the Northern Volcanic Zone, where melt production has been affected by a ridge jump, and in the far southwest of Iceland. The uppermost mantle below Iceland is characterised by reduced densities below the rift zones, suggesting higher mantle temperatures and the possible presence of partial melt in these regions. ß 2000 Elsevier Science B.V. All rights reserved. Keywords: Iceland; mantle plumes; crust; gravity survey maps 1. Introduction Iceland is created by interaction between the Mid-Atlantic Ridge spreading centre and the Iceland mantle plume, which causes the generation of anomalously thick igneous crust. Estimates of the mantle temperature anomaly in the plume compared to normal mantle temperatures vary from 150³C [2,3] to 300³C [4]. The Mid-Atlantic Ridge is expressed in Iceland as three volcanic rift * Corresponding author. Tel.: +44-1223-337176; Fax: +44-1223-360779; E-mail: ¢[email protected] zones composed of central volcanoes transected by rifts and ¢ssure swarms (Fig. 1). In southern Iceland, two subparallel rift zones, the Western Volcanic Zone (WVZ) and the Eastern Volcanic Zone (EVZ), are active, separated by a transform fault system, the South Iceland Seismic Zone (SISZ). The Northern Volcanic Zone (NVZ) extends northwards from beneath the Vatnajo«kull icecap to the Tjo«rnes Fracture Zone (TFZ), which links the Icelandic rift system to the Kolbeinsey Ridge. The positions of the Icelandic rift zones have changed with time; rifting in southern Iceland is presently being transferred from the WVZ to the EVZ [5] and at least two major shifts of the north- 0012-821X / 00 / $ ^ see front matter ß 2000 Elsevier Science B.V. All rights reserved. PII: S 0 0 1 2 - 8 2 1 X ( 0 0 ) 0 0 2 0 6 - 5 EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart 410 F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 crustal structure. Gravity modelling is used to complement the crustal models derived from seismic experiments, in order to provide crustal structure information where seismic data are sparse. We combine the results of the seismic and gravity models to produce a map of the Moho depth across Iceland and to investigate variations in the density of the uppermost mantle. 2. Development of the crustal model 2.1. Seismic data Fig. 1. Tectonic map of Iceland [44] showing the locations of long seismic refraction pro¢les (bold lines: SIST [8]; FIRE [9]; ICEMELT [10]; B96 [11]), stations used for receiver function analysis (black triangles, labelled with station codes: [17], open triangles: [16]) and pro¢les GP1^7 (dashed lines) along which gravity is modelled. RR, Reykjanes Ridge; WVZ, Western Volcanic Zone; EVZ, Eastern Volcanic Zone; NVZ, Northern Volcanic Zone; SISZ, South Iceland Seismic Zone; TFZ, Tjo«rnes Fracture Zone; KR, Kolbeinsey Ridge; VJ, Vatnajo«kull icecap. Central volcanoes: kr, Kraë r×fajo«£a; ba, Bärdarbunga; gr, Gr|¨msvo«tn; as, Askja; or, O kull; ka, Katla. ern rift zone in the last 15 Myr have been identi¢ed. Eastward jumps of the rift axis are believed to arise from the westward drift of the Mid-Atlantic Ridge with respect to the mantle plume [6], though the mechanism for this interaction is poorly understood. The ridge jumps serve to keep the rift axis above the plume centre. At present, the centre of the plume is believed to lie beneath the Vatnajo«kull icecap (see Fig. 1). This area has the highest topography in Iceland and marks the centre of the mantle low-velocity anomaly imaged by Wolfe et al. [4]. Two contrasting models have been proposed for the structure of the crust below Iceland: either a hot, 10^15 km thick crust overlying a partially molten upper mantle with anomalously low seismic velocities [7] or a cooler, 20^40 km thick crust with the thickest crust directly above the plume centre [8^11]. Previous seismic studies [1,12] also indicate a large variation in the thickness of the upper crust across Iceland. In this paper, we review the information available from published seismic models of Icelandic A large amount of information about the Icelandic crust has been gained in the last few decades, using a variety of seismic methods. The majority of the studies carried out have been wideangle refraction pro¢les, with numerous short pro¢les (generally 6 60 km) used to constrain the structure of the uppermost few kilometres of the crust (e.g. [1,12^14]) and a few long (typically s 100 km) pro¢les used to provide information about the deeper crust and the depth to the Moho (e.g. [8^11]). Analysis of teleseismic earthquakes has also been used to study Icelandic crustal structure. Tryggvasson [15] used surface wave dispersion to give an early model of the crust below Iceland and, more recently, teleseismic receiver function analysis has been used to study the structure of central, northern and northwestern Iceland [16,17]. The crustal structure o¡shore Iceland and the surrounding region has also been studied by seismic refraction pro¢ling (e.g. [18^ 21]). The full set of seismic results used in this study, as well as some previous key publications about Icelandic crustal structure, are shown in Table 1. The results from seismic experiments de¢ne the depth to the base of the upper crust and to the Moho, as well as providing information on the nature of the Moho in Iceland. The transition from upper to lower crust is de¢ned by a pronounced decrease in the velocity gradient from s 0.2 s31 in the upper crust to 6 0.05 s31 in the lower crust (e.g. [1]). The transition occurs at depths where the P wave velocities lie between 6.3 and 6.7 km s31 . The depth to the Moho as EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 411 Table 1 Sources of information about Icelandic crustal structure from seismic studies; 1960^2000 Method Location Authors Information Used for map? (Y/N) RF RF (HOTSPOT) WA (SIST) WA (ICEMELT) WA (B96) WA (RRISP) WA (FIRE) WA (FIRE) WA (FIRE) WA WA WA WA (SIGMA) WA (RRISP) WA (RRISP) WA (NASP) WA WA WA WA SW Central/N Iceland Western fjords SW Iceland Across Iceland W £ank of NVZ S of Askja, NVZ NE Iceland Kra£a volcano, NE Iceland Faroe^Iceland Ridge Axarfjo«rdur, NE Iceland Katla volcano, S Iceland Reykjanes Ridge Iceland^Greenland Ridge Across Iceland O¡ S coast of Iceland Faroe^Iceland Ridge; NE Iceland Reyfarfjo«rdur Across Iceland W Iceland Faroe^Iceland Ridge Across Iceland [17] [16] [8] [10] [11] [11] [9] [32] [21] [45] [14] [19,46,47] [20] [7,48] [18,49] [50] [51] [1,12,13] [52] [53] [15] U, U, U, U, U, M U, U, U, U U U, M U, U, U, U U U, U, U, Y Y Y Y Y Y Y Y N Y Y Y Y N Y Y N Y N N N M M M M M M M M M M M M M M M Where the experiments have names, these are given in brackets after the seismic method. Abbreviations are as follows: RF, receiver function analysis; WA, wide-angle seismic refraction pro¢ling; SW, surface wave dispersion analysis; U, information about upper crustal structure; M, information about Moho depth. modelled from refraction pro¢les is de¢ned mainly by wide-angle Pm P re£ections, and the Moho is assumed to be either a sharp discontinuity or a relatively thin ( 6 V2 km) transition zone [22]. Receiver function analysis of broadband data from the Icelandic SIL network [17] suggests that the nature of the Moho varies across Iceland, from a sharp discontinuity in some places to a transition zone several kilometres thick in others. Where the Moho is gradational in nature, Darbyshire et al. [17] de¢ne the Moho depth as the depth to the base of the transition zone, below which shear wave velocities reach 4.4 km s31 or higher. Du and Foulger [16] do not assign Moho depths in their study of receiver functions in the western fjords but instead present a list of the depths at which the shear wave velocity rises above 4.1 km s31 , which they assume to be the base of the crust. In our study we use the velocity depth models reported by Du and Foulger [16] but, for consistency, de¢ne values for the Moho depths from these models in the same manner as Darbyshire et al. [17]. The seismic results currently published cover several di¡erent regions of Iceland (long refraction pro¢les and locations where receiver function analysis has been carried out are shown in Fig. 1). Trends in the crustal structure can be seen; these mainly correlate with the past and present tectonic structure of Iceland and with proximity to the centre of the Iceland mantle plume. However, there are still many gaps in the seismic coverage of Iceland. The crustal structure of areas such as the EVZ, central southern Iceland, much of northwestern Iceland and the northeast region (east of the NVZ) must be constrained before we can produce a map of upper crustal thickness and Moho depth across all of Iceland. Gravity modelling may be used to constrain crustal structure, but care must be taken that possible variations in the density structure of the uppermost mantle across Iceland are not mapped into crustal structure. We ¢rst investigate the possibility of mantle density variations by carrying out gravity modelling in regions where the crustal EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart 412 F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 structure is well constrained by seismic refraction pro¢les. 2.2. Gravity modelling along the ICEMELT refraction pro¢le where b is the density in kg m33 and VP is the P wave velocity in km s31 . The density of highervelocity (4.5 km s31 9 VP 9 6.6 km s31 ) crustal material is given by Carlson and Herrick [25] as: b 1000 3:8136:0=V P 2 We investigate the density structure of the crust and uppermost mantle along the ICEMELT pro¢le using two-dimensional (2D) gravity modelling. The crustal P wave velocity model of Darbyshire et al. [10] was extended V100 km laterally at each end and converted to a density model using three di¡erent relationships. For P wave velocities 9 4.5 km s31 , at shallow depths, the following relationship calculated by Zelt [23] from the data set compiled by Ludwig et al. [24] was used: These relationships were used in preference to Christensen and Wilkins' [26] data from the Reydarfjo«rdur borehole, since the latter present sparser data at densities of 6 2800 kg m33 , and the borehole was drilled in a region where dyking is intense, biasing the results away from basalt £ows. For crustal material of VP v 6.6 km s31 , the density is given by a relationship calculated by Staples [22] using data for gabbro, diabase and garnet granulite taken from [25,27]: b 1000 30:6997 2:2302V P 30:598V 2P b 1000 5:23315:38=V P 0:07036V 3P 30:0028311V 4P 1 3 The density of the mantle below the ICEMELT Fig. 2. Map of the Bouguer gravity anomaly across Iceland, contoured at 10 mGal intervals. The gridded data set was supplied by Eysteinsson and Gunnarsson [29], Orkustofnun Ièslands. EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 pro¢le cannot be calculated directly from the seismic model, since no data are available for subMoho P wave velocities. Instead, a mantle density of 3260 kg m33 is used in the modelling. This value is derived from the estimated average mantle (harzburgite) composition below Iceland at 40 km depth and 1000^1100³C (Maclennan, personal communication, 1999). It is lower than the densities generally assigned to `typical' mantle since it includes the e¡ect of depletion caused by melt extraction from the mantle plume. Systematic errors in the velocity^density relationships we have adopted have little e¡ect on the results of this study as their main e¡ect would be to cause a consistent o¡set in the calculated gravity ¢eld. Since we are modelling gravity anomalies rather than the absolute gravity, such an o¡set would make little di¡erence to the crustal thickness variations we model as responsible for those anomalies. We assume that the relationships between velocity and density do not vary from place to place across Iceland. The gravity data set used in this study is a combination of onshore and ship track measurements obtained during the period 1967^1985 [28]. A Bouguer correction is applied both o¡shore and onshore. However, because the ICEMELT pro¢le crosses the Vatnajo«kull icecap, a standard Bouguer correction everywhere onshore is inappropriate for our models. Instead we use a data set for which the reduction density used in the Bouguer corrections is modi¢ed in the glaciated regions. A density of 900 kg m33 is used for the ice and 2600 kg m33 is used for the subglacial bedrock [29]. The dominant feature in the gravity data along the ICEMELT pro¢le is a prominent minimum in the Bouguer gravity anomaly which coincides with the presumed location of the plume centre (Fig. 2). The ¢rst ICEMELT density model (Fig. 3a) contains no changes to the sections which are directly constrained by seismic data. The crustal structure at either end of the pro¢le was modelled using the changes in the gravity anomaly. A constant density mantle was assumed. The ¢t to the observed gravity anomaly is extremely poor in central Iceland (dashed line, Fig. 3c). The calculated gravity anomaly from our ¢nal 413 Fig. 3. Results of gravity modelling along the extended ICEMELT seismic pro¢le [10]. (a) Initial model with constantdensity mantle. (b) Final density model. In (a) and (b) the Moho is marked by a bold line and regions of reduced mantle density are shaded. Since the density model used in the computations consists of 300 polygons, we plot a simpli¢ed version for clarity. Density values are given in kg m33 . (c) Observed gravity anomaly (crosses), calculated gravity anomaly for model (a) (dashed line) and ¢nal calculated gravity for model (b) (solid line). density model (Fig. 3b) matches the observed Bouguer gravity anomaly to within one contour interval on the original gravity map. In order to achieve this degree of ¢t (solid line, Fig. 3c), small changes to the crustal structure within the error bounds of the seismic model of Darbyshire et al. [10] were made. In addition, because the seismic model has poor constraint of the uppermost crust in the Vatnajo«kull region (60^140 km along the pro¢le), we changed the density of the uppermost layer of the density model in accordance with the model of Gudmundsson and Milsom [30] which investigates the upper crustal structure of the Gr|¨msvo«tn region (V100 km along the ICEMELT pro¢le). A small increase in mantle density (to 3265 kg m33 ) was made at the southeastern end of the pro¢le (close to the Iceland shelf) and EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart 414 F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 Fig. 4. (a) ICEMELT density model showing upper crustal thickness required to ¢t the observed gravity anomaly if no lateral mantle density variations are allowed. (b) Observed (crosses) and calculated (solid line) gravity anomaly. (c) Results of ray tracing through the resultant velocity model from (a). Note the lack of ¢t of the calculated arrival times (solid lines) to the travel time data (vertical bars). the density of a 120 km wide region of the mantle below Vatnajo«kull and the central highlands (20^ 140 km) was reduced. Small changes (20 kg m33 ) were made in central and southern Iceland, with a narrower (V40 km) region of lower density mantle beneath the axial rift zone. Here, the mantle density reduction is 60^90 kg m33 . The model ¢ts the observed Bouguer gravity anomaly well (the RMS residual is 4 mGal), except for a short-wavelength gravity minimum at distances of +90 to +100 km. The short wavelength of the feature suggests that its origin lies in the upper crust. There are several possible explanations for the mis¢t here. First, the details of the upper crustal structure below northwest Vatnajo«kull are not well resolved by the ICEMELT pro¢le due to the sparse spacing of the seismic stations. The upper crust in this region may consist of a set of separate high-velocity domes asso- ciated with the central volcanoes, instead of the single large-scale smeared dome modelled here (see Section 2.2.1). In this case the gravity minimum may coincide with a thicker section of upper crust between the domes. The track of the ICEMELT pro¢le passes between the three central volcanoes beneath northwest Vatnajo«kull. It is also possible that a low-density body such as a volume of hot rock or a melt body exists in the upper crust below the Gr|¨msvo«tn region. The detailed gravity study of Gudmundsson and Milsom [30] allows a model containing a magma chamber, and much volcanic activity has occurred at Gr|¨msvo«tn during the last century, including major eruptions in 1938, 1983 and 1998. The e¡ect on the gravity anomaly of a melt body in the upper crust is likely to be small, due to the relatively small density contrast between molten and solid basalt [31], but it may contribute to the mis¢t observed. In order to assess the validity of the mantle density variations modelled above, we conducted a set of tests on the ICEMELT crustal model to investigate whether it was possible to match the observed gravity anomaly using changes in crustal structure alone, keeping the mantle density constant along the pro¢le. Fig. 4 shows the crustal structure required to match the Bouguer gravity anomaly for a constant-density mantle if the Moho depth is ¢xed to within þ 1 km and the thickness of the upper and mid crust is allowed to change freely in the interval between +40 and +160 km distance along the pro¢le. To achieve the match between the observed and calculated gravity anomaly it was necessary to increase the depth to the base of the upper crust by a factor of 4, to 10^12 km below sea level and to increase the depth to the base of the middle crustal region to 15 km. The altered upper crustal thicknesses cannot ¢t the seismic data from the ICEMELT refraction pro¢le (Fig. 4c) and lie well outside the maximum error estimated for the upper crustal thickness of the seismic model. If the upper crustal structure is constrained to be the same as that for the seismic model and the Moho depth is allowed to vary, then a minimum crustal thickness of 55 km would be required to EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 match the gravity anomaly for a model with a constant-density mantle. This crustal thickness lies well outside the uncertainties of the ICEMELT seismic model, and is also inconsistent with the crustal thickness estimate of 37 km at the nearby broadband seismic station SKR [17]. The mid and lower crust beneath Vatnajo«kull and other Icelandic rift zones may contain partially molten regions undetected by seismic refraction pro¢ling. A prominent shear wave low-velocity region at 10^15 km depth below Kra£a (see Fig. 1) has been inferred from receiver function analysis and interpreted to arise from partial melt in the crust [17]. However, such regions are likely to contain only a small percentage of melt (indicated by the propagation of S waves below the Kra£a region), and the di¡erence in density between the melt and the solid material is relatively small [31]. Hence we expect little di¡erence to be made to the gravity anomaly by the presence of these zones. We conclude that it is not possible to ¢t the seismic data and the gravity data simultaneously unless lateral density variations are introduced into the mantle below the rift zone. The long wavelength of the gravity low in central Iceland also suggests a deep source rather than an artefact of anomalous or three-dimensional (3D) structure in the upper crust, which would give rise to a short-wavelength anomaly. 2.2.1. E¡ects of 3D structure In central Iceland, particularly in the northwestern part of the Vatnajo«kull icecap, the gravity anomaly is 3D over a relatively short-length scale (a few tens of kilometres). It is therefore important to assess the e¡ect of 3D structure on the results of the ICEMELT gravity modelling, which uses a 2D approximation. 3D structure in the upper and middle crust is likely to be most signi¢cant in regions close to central volcanoes. The ICEMELT pro¢le passes between several volcanoes as it crosses Vatnajo«kull. Results from seismic pro¢les and detailed gravity models (e.g. [30,32]) suggest that each central volcano in Iceland has a dome of high-velocity material beneath it. However, the resolution of the ICEMELT seismic pro¢le is such that a dome on a larger scale 415 than a single volcano is modelled, instead of several individual volcanic domes. We used the method of Kuo and Forsyth [33] to model the gravity anomaly due to topography on the boundary between the upper and lower crust in order to investigate the e¡ect of 3D structure associated with the Vatnajo«kull central volcanoes. The results are shown in Fig. 5. Synthetic 3D topography of the upper/lower crust boundary below northwest Vatnajo«kull (Fig. 5a) was input to a 3D gravity modelling program. The depth to the base of the upper crust away from the volcanoes was estimated from seismic results [10] and an estimate of the average upper crustal thickness across Iceland taken from Flövenz [1]. Below each central volcano, the base of the upper crust rises in a dome shape of similar dimensions to those reported by seismic studies of other central volcanoes (e.g. [32]). A density contrast of 200 kg m33 across the boundary was assumed, based on the di¡erence between average upper and middle crustal densities in the ICEMELT density model. The resulting gravity anomaly follows the input topography (Fig. 5b). Gravity sampled along the position of the ICEMELT line shows local highs where the pro¢le passes close to volcanic domes (Fig. 6, solid line). In order to assess the e¡ect of a 2D approximation to the full 3D structure, the topography of the upper/lower crust boundary from the 3D model was sampled along the ICEMELT line and extended perpendicularly on each side of the line to simulate 2D structure (Fig. 5c). The resulting gravity anomaly (Fig. 5d) shows some di¡erences to the full 3D solution, particularly where the pro¢le passes between the central volcanoes, but the di¡erences are not greater than V3 mGal (Fig. 6, dashed line). This value lies within the uncertainties of the Iceland gravity data set; therefore we believe that a 2D approximation to the 3D structure in the vicinity of central volcanoes in Iceland remains valid. Further modelling was carried out to assess the e¡ect on the gravity anomaly of a larger-scale dome which smears out the 3D structure in the region of the central volcanoes. The topography of the upper/lower crust boundary along the ICEMELT line was modelled from the results of the EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart 416 F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 417 Fig. 5. Plan views of the results of gravity modelling tests for 3D structure. The region modelled is northwest Vatnajo«kull. (a) Synthetic topography of the upper/lower crust boundary. The central volcanoes are labelled as for Fig. 1 and the ICEMELT pro¢le is marked as a line. (b) Calculated gravity anomaly for 3D topography. (c) Topography of the upper/lower crust boundary sampled along the ICEMELT line and extended laterally to either side. (d) Calculated gravity anomaly for 2D topography. (e) Topography of the upper/lower crust boundary sampled along the ICEMELT seismic model for northwest Vatnajo«kull and extended laterally to either side. (f) Calculated gravity anomaly for ICEMELT seismic model of the upper/lower crust boundary. In each case, point `X' marks the position of zero distance along the ICEMELT pro¢le, used in Fig. 6. 6 ICEMELT seismic model [10], and extended perpendicularly on either side of the pro¢le (Fig. 5e). The resulting gravity anomaly shows a broadened region of high gravity (Fig. 5f) in the position which corresponds to a point of relatively low gravity between two central volcanoes in the full 3D model (Fig. 6, dotted line). The magnitude of the di¡erence in gravity between this model and the full 3D model, and the position of the feature, is similar to the mis¢t between the observed and calculated gravity at +90 km along the ICEMELT density model (Fig. 3). We believe that it is this smearing out of the volcanic domes along the ICEMELT pro¢le as a result of the limited resolution of the wide-angle seismic data which gives rise to the mis¢t between the observed and calculated gravity anomaly. We also carried out tests using 2.5-dimensional gravity modelling (i.e. using a ¢nite strike width for structures along a 2D pro¢le) to assess the e¡ect of long-wavelength 3D structure at the Fig. 6. Calculated gravity anomalies sampled along the ICEMELT pro¢le for northwest Vatnajo«kull. Solid line, full 3D solution. Dashed line, 2D solution for data sampled from 3D topography. Dotted line, 2D solution for smeared out dome resolved by the ICEMELT seismic model. Moho and within the mantle. At strike widths comparable to the length of the structures along the ICEMELT pro¢le, the 3D e¡ect contributed less than 10 mGal to the calculated gravity anomaly, which again is within the uncertainties in the data. 2.3. Gravity modelling along other seismic pro¢les in Iceland Gravity modelling along two seismic refraction pro¢les, FIRE (for diagrams and models, see Staples et al. [9]) and ICEMELT (see above), shows reduced mantle densities below the rift zones of central and northern Iceland. We investigate mantle density variations across Iceland further by considering the gravity anomalies along two other published seismic refraction pro¢les, SIST [8] and B96 [11]. The purpose of this study is not to reinterpret the published results, but to use them to gain extra information about the nature of the mantle below Iceland. 2.3.1. The SIST pro¢le The SIST pro¢le runs NW^SE across southwestern Iceland and crosses the Western Volcanic Zone almost perpendicular to the strike of the rift zone. We converted the seismic velocities reported by Bjarnason et al. [8] to densities using the method described above and compared the calculated and observed Bouguer gravity anomaly (Fig. 7). In the southeastern section of the model (distances v70 km) the general pattern of the calculated gravity anomaly matches the data well. However, across the WVZ (distance V0^40 km) the shallowing of the lower crust creates a broad maximum in the calculated gravity anomaly which is not observed in the data. The crustal velocity model of Bjarnason et al. [8] is derived from seismic data with high shot and EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart 418 F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 (Fig. 8). We estimate that if the uncertainties in Moho depth for the B96 crustal model are similar to those for the FIRE [9] and ICEMELT [10] models, we have changed the crustal structure only within the uncertainty bounds of the seismic model in order to give an adequate ¢t to the observed gravity anomaly (the RMS residual is 11 mGal). 2.4. Use of isostasy to investigate variations in mantle density structure Fig. 7. Results of gravity modelling along the SIST seismic pro¢le [8]. (a) SIST crustal model with low mantle densities below the WVZ. (b) Observed gravity anomaly (crosses), calculated gravity anomaly for model with constant-density mantle (dashed line), and calculated gravity anomaly for model with low mantle densities below the WVZ (solid line). Gravity modelling along the FIRE [9], ICEMELT and SIST pro¢les indicates lateral variations in mantle density in Iceland. We investigated this result further by considering the isostatic balance across Iceland. The topography, Moho depth, average crustal density and average crustal velocity were sampled at 10^20 km intervals along receiver density, and the region in which there is a gravity mismatch is constrained both by numerous crustal diving rays and by Moho re£ections. We therefore made no changes to the crustal structure derived from the seismic analysis. We found that reducing the mantle densities below the WVZ (Fig. 7) in a similar way to that required beneath the rift zone in the ICEMELT and FIRE [9] density models allowed us to improve the ¢t of the calculated gravity anomaly to the observed gravity anomaly to an acceptable degree of error (the RMS residual is 6 mGal). 2.3.2. The B96 pro¢le The B96 seismic pro¢le [11] runs north to south along the western £ank of the Northern Volcanic Zone. The density model created using the published B96 crustal velocity model gives a relatively poor ¢t to the observed Bouguer gravity anomaly (Fig. 8), but we found that it was not necessary to reduce mantle densities below any section of the pro¢le in order to improve the ¢t to the gravity data. Instead, changes in upper crustal thickness and Moho depth at the far ends of the crustal model where seismic constraints are poor were su¤cient to provide a ¢t to the gravity data Fig. 8. Results of gravity modelling along the B96 seismic pro¢le [11]. (a) Density model derived directly from the seismic model of Menke et al. [11]. (b) Model with thinner crust at the ends of the pro¢le where the Moho is not constrained by seismic arrivals. (c) Fit of initial (dashed line) and modi¢ed (solid line) model to the observed (crosses) gravity anomaly. EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 Fig. 9. (a) Land elevation above mean sea level against Moho depth below mean sea level for points along the FIRE [9], ICEMELT [10], B96 [11] and SIST [8] refraction pro¢les and measurements from receiver function analysis [17]. (b) Average crustal density derived from velocity^density conversions against Moho depth for points along the refraction pro¢les. Symbols as for (a). (c) Average crustal velocity derived from seismic models against Moho depth for points along the refraction pro¢les. Symbols as for (a). each of the four seismic refraction pro¢les. Data points were divided into three di¡erent sections : crust lying well outside the rift zones, crust lying within the rift zones and crust lying at the edges of the rift zones or between two closely-spaced sections of rift. Fig. 9a shows topography at the sampled points against Moho depth, for the refraction pro¢les and for the receiver function results of Darbyshire et al. [17]. Although there is 419 scatter in the data, a clear linear relationship between land elevation and Moho depth can be seen for the crust away from the rift zones, similar to that reported by Menke [34]. Crust within the rift zones shows a signi¢cantly di¡erent relationship, with anomalously high topography for the measured crustal thickness. This is an indication that the mantle below the rift zones has a di¡erent character from the mantle elsewhere in Iceland. Plots of land elevation against Moho depth for crust at the edges of the rift zones lie mostly in the ¢eld of data for regions away from the rifts, though some points lie close to the rift zone data. Plots of average crustal density and velocity for the four refraction pro¢les (Fig. 9b,c) show some scatter, which may arise from variations in the proportion of upper crust to lower crust along the pro¢les. However, a trend of increasing crustal density and velocity with increasing Moho depth is apparent in the plots. This suggests that the proportion of dense lower crust to the less dense upper crust increases as the total crustal thickness increases. We invoke isostatic equilibrium across Iceland to predict the average density of the uppermost mantle and to calculate deviations from this average along the refraction pro¢les, using crustal densities obtained from the seismic velocity models. If we consider the pressure at an arbitrary depth of compensation H, for a crust of mean density b c and a mantle of mean density b m, the relationship: he b c H b m hc b c 3 b m constant 4 is obtained, where he is the land elevation above mean sea level and hc is the depth below mean sea level to the Moho. From this relationship, the average mantle density for Iceland can be calculated: b c he hc b m hc 3 b m H constant 5 We plot b c he hc against hc for each data point from the refraction pro¢les, and ¢t a straight line through the points. Since b m H is assumed to be a constant, the gradient of the line gives the value of b m . The average value of EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart 420 F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 the mantle density beneath Iceland was found to be V3170^3190 kg m33 . This value is similar to the density of 3150 þ 60 kg m33 predicted by Menke [34] who used the relationship between Moho depth and land elevation to calculate the average mantle density, assuming a simple threelayered crust in isostatic equilibrium. In order to calculate mantle density variations along the seismic refraction pro¢les, we assume perfect isostatic balance and zero £exural strength, then use Eq. 5 for each of the points constrained by seismic data along the pro¢les, having obtained the value of the constant in Eq. 5 for the full data set from our straight line ¢t. For this we assume that the compensation depth H is 60 km, the same as assumed for the gravity modelling, since this corresponds to the maximum likely depth of the lithosphere beneath Iceland. The results of this analysis are shown in Fig. 10. Variations in mantle density exist for all four pro¢les, but are small for the B96 pro¢le, which does not intersect with a rift zone, compared to the variations along the FIRE, ICEMELT and SIST pro¢les. For these pro¢les, away from the rift zones, the mantle density lies above the average value by as much as 70 kg m33 . The positions of the rift zones along the pro¢les coincide with regions in which the density of the uppermost mantle is signi¢cantly reduced, by as much as 90 kg m33 below the average. We note that the average mantle density obtained by this analysis is low compared to normal mantle densities, and is somewhat lower than expected from geochemistry-based calculations (see Section 2.2 for details) of an average mantle density beneath Iceland. However, the calculated values of mantle density in the oldest regions of Iceland (e.g. Fig. 10; FIRE pro¢le, distances s 60 km) are less than 30 kg m33 smaller than the density predicted from geochemistry, and therefore lie within the likely uncertainties of the calculations. In addition, the analysis described above assumes perfect isostatic equilibrium across Iceland and zero £exural strength in the lithosphere. In reality, there are several other factors which may perturb the results of our calculations of mantle density. First, some degree of dynamic support from the underlying mantle plume is Fig. 10. Predicted uppermost mantle densities relative to the average value for Iceland derived assuming perfect local isostatic equilibrium (see text for details), for the four refraction pro¢les. The average density is shown as a broken line and the positions of the rift zones along the FIRE, ICEMELT and SIST pro¢les are marked. likely in Iceland, and the degree of this dynamic support varies on a long-wavelength scale across the island. Second, the older parts of the lithosphere beneath Iceland are likely to have some £exural strength and, third, variations in lithospheric thickness and hence in mean mantle density across the island are expected. The exact nature of the variations in £exural strength and lithospheric thickness is impossible to predict due to the shifts in the positions of the rift zones over time and the construction of the crust from magmas emplaced at widely di¡ering ages as a result of the rift jumps. The factors described above will have an e¡ect on the long-wavelength characteristics of the iso- EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 421 static balance across Iceland, and are therefore likely to bias the result of any calculation of average mantle density beneath the island. However, the assumption of local isostatic equilibrium is valid when analysing the variations in mantle density on a short-wavelength scale of up to a few tens of kilometres. We therefore consider the abrupt decreases in the density of the mantle beneath the rift zones (e.g. Fig. 10; FIRE pro¢le, distances 320 to +20 km) to be real and signi¢cant features. 2.5. Further gravity modelling across Iceland Results from gravity modelling and considerations of isostatic balance along the FIRE [9], ICEMELT and SIST refraction pro¢les give an important result for further gravity modelling. The density of the uppermost mantle is not constant across Iceland but is reduced by 70^90 kg m33 beneath the NVZ, the WVZ and the central rift Fig. 11. Results of gravity modelling along pro¢le GP1. (a) Model constrained only by seismic velocity models at their intersections with GP1. (b) Final density model. (c) Observed Bouguer gravity anomaly (crosses), calculated anomaly for model (a) (dashed line) and calculated anomaly for model (b) (solid line). Fig. 12. Results of gravity modelling along pro¢le GP2. (a) Model constrained only by seismic velocity models at their intersections with GP2. Regions of reduced mantle density are shaded. (b) Final density model. (c) Observed Bouguer gravity anomaly (crosses), calculated anomaly for model (a) (dashed line) and calculated anomaly for model (b) (solid line). below Vatnajo«kull. We use this result in constructing the gravity models described below. In addition, we assume that the behaviour of the mantle beneath the EVZ is similar to that below the NVZ and WVZ. Mantle densities below the EVZ are therefore reduced in the gravity models for pro¢les which cross this region. Gravity modelling was carried out along seven 2D pro¢les (Fig. 1) in order to constrain the upper crustal thickness and Moho depth in areas where there is little or no seismic constraint. The results are shown in Figs. 11^17. One-dimensional (1D) velocity models derived from the seismic pro¢les and receiver functions were used to constrain the structure along the gravity pro¢les where they intersect with the refraction lines, and additional seismic information was input to the 2D models. Models derived from gravity along pro¢les well constrained by the seismic results were also used as input to subsequent, inter- EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart 422 F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 secting pro¢les. The 2D structure consisted initially of a simple interpolation between the points constrained by seismic and earlier gravity pro¢les (Figs. 11a^17a). Seismic velocities were converted to density using the velocity^density relationships described in Section 2.2. The background mantle density was taken as 3250 kg m33 and a density of 3180 kg m33 was used for the mantle below the rift zones. The exception was for the rift directly above the plume centre, where results from the ICEMELT gravity modelling gave a density decrease of 90 kg m33 . In this region, we used a mantle density of 3160 kg m33 in the models. Long-wavelength variations in the gravity anomaly were ¢tted by changes to the depth of the Moho. In some cases, a simple interpolation between the seismic models at the intersection points was su¤cient to provide a reasonable ¢t to the longest-wavelength gravity signals, with depth changes made to the lower crustal section at the ends of the pro¢les in order to ¢t a general trend of increasing positive Bouguer anomaly towards the Icelandic coast (e.g. GP1, GP3; see Fig. 1). In other cases (e.g. GP2, GP6, GP7; see Fig. Fig. 13. Results of gravity modelling along pro¢le GP3. Refer to Fig. 12 for plotting conventions. Fig. 14. Results of gravity modelling along pro¢le GP4. Refer to Fig. 12 for plotting conventions. Fig. 15. Results of gravity modelling along pro¢le GP5. Refer to Fig. 12 for plotting conventions. EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 1) changes in the depth to the Moho in positions between the constrained points were necessary in order to match the positions of maxima and minima in the observed gravity anomaly. Short-wavelength variations in the observed gravity anomaly were matched by making changes to the upper crustal structure. Many of the local maxima in gravity are associated with central volcanoes ë r×fajo«kull (e.g. Askja at 100 km along GP2 and O at 350 km along GP3). Results from seismic pro¢les show that the upper crust below most central volcanoes is anomalously thin compared to the average thickness in Iceland [1], and the density models were adjusted accordingly to ¢t the local gravity anomaly maxima. Although, in principle, the density models could be ¢nely tuned to provide a perfect ¢t to the observed gravity anomalies, we believe that the insertion of ¢ner structure is unwarranted. Limitations on the models are imposed by the assumption of two-dimensionality of structure along the pro¢les and by the likely errors in the gravity data set. We consider the 2D approximations to be valid across Iceland, since tests on the ICEMELT model (see Section 2.2.1) 423 Fig. 17. Results of gravity modelling along pro¢le GP7. Refer to Fig. 12 for plotting conventions. suggest that 3D structure is likely to contribute less than 10 mGal to the calculated gravity anomalies, even in the most highly 3D regions. The models all show a good degree of ¢t to the observed gravity anomaly, with RMS residuals of less than 6 mGal. 3. Discussion and conclusions 3.1. The upper crust Fig. 16. Results of gravity modelling along pro¢le GP6. Refer to Fig. 12 for plotting conventions. Results from seismic refraction pro¢les and receiver function analysis show that the average upper crustal thickness across Iceland is V5 km [1], but substantial variations from this value are observed, with a range of upper crustal thickness of V2^11 km. Fig. 18a shows the results from the compiled seismic data set. The base of the upper crust is contoured where there are su¤cient data points, but there is insu¤cient seismic coverage to produce a detailed contour map for the whole of Iceland due to the short wavelength of some of the variations in upper crustal thickness. The thin- EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart 424 F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 nest upper crust occurs below central volcanoes such as Kra£a, the Bärdarbunga-Gr|¨msvo«tn reë r×fajo«kull. Thicker than avergion, Askja and O age upper crust is found at the edges of the rift zones, e.g. east of the NVZ [9], in the northern central highlands [10] and in the far south of Iceland [1]. The increase in seismic velocity with depth within the upper crust arises from compaction and secondary mineralisation of basaltic lava £ows [1,35]. The transition from upper to lower crustal velocities is likely to be due to a combination of increased alteration of the basalts and an increased proportion of intrusive material. Beneath the central volcanoes, the high-temperature gradients at the time of emplacement may allow mineral alteration to occur at shallower depths than normal, and higher proportions of intrusives also occur at shallower depths, resulting in an apparent thinning of the upper crust. The thick upper crust at the edges of the rift zones is probably a result of ridge jumps. When the spreading axis jumps into old crust, new lava £ows spread out over a large distance from the ¢ssures at the rift axis. The temperature gradient within the old upper crust is lower than that within the upper crust in the rift zone, so it can be buried deeply by new lava £ows without as much thermal alteration, creating a thicker seismic upper crust. 3.2. Moho depth variation across Iceland Fig. 18b shows the crustal thickness across Iceland. The map was created by compiling all the available Moho depth results from analyses of seismic data (receiver functions and wide-angle pro¢les; see Table 1), together with the crustal thicknesses obtained by gravity modelling along the `GP' pro¢les (see Fig. 1 for locations of seismic constraint and gravity pro¢les). The resulting data set was input to the GMT [36] software package for conversion to a gridded format which was used to form the map shown. The thickest crust (V40 km) is found directly above the centre of the plume (Fig. 18b). This thick crust probably arises from enhanced melting due to a combination of high mantle temperatures and active upwelling [2] in a narrow ( 6 200 km diameter [37,38]) plume core. Along the Northern Volcanic Zone, the crust thins rapidly away from the plume centre as the e¡ect of active upwelling becomes less signi¢cant with increasing distance from the plume core. At Kra£a (see Fig. 1), 120 km from the plume centre, the mechanism of melt generation is thought to be purely passive decompression of the hot mantle in response to plate separation, from the observation that geochemical and seismic estimates of the crustal thickness are in agreement [9,39]. Across the northern half of the NVZ, the crust thins to V20 km below Kra£a. This may result from a combination of changes in melt productivity in this section of the rift and the e¡ect of the ridge jump at V7^3 Ma [9]. Melt productivity in the NVZ is probably reduced by the e¡ect of conductive heat loss into the adjacent older lithosphere. In addition, a southerly component of the postulated eastward drift [6] of the Iceland mantle plume may occur, since the Icelandic rift zones appear to have shifted both eastwards and southwards over time [40]. A southerly drift of the plume centre would cause the crustal thickness at a given latitude within the NVZ to be less than that at the same latitude in the surrounding older crust, since the melt productivity at a point on the rift decreases with increasing distance from the plume centre. East of the Vatnajo«kull icecap, a band of thick crust (V35^36 km) joins the plume centre to the westernmost extent of the Faroe^Iceland Ridge. Whether this thick crust represents the track of the plume centre is uncer- C Fig. 18. (a) Map of upper crustal thickness measurements across Iceland, compiled from seismic observations. The data are contoured where a su¤cient density of data points (small black circles) is available. Sparser data points are plotted as large circles and coloured according to the same scale as the contoured data. (b) Contour map of depth to the Moho, using a combination of results from seismic pro¢les, receiver function analysis and gravity modelling. The contour interval is 5 km. Locations of the seismic pro¢les, broadband seismograph stations and gravity pro¢les from which Moho depth data were taken are shown in Fig. 1. EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 EPSL 5562 16-8-00 Cyaan Magenta Geel Zwart 425 426 F.A. Darbyshire et al. / Earth and Planetary Science Letters 181 (2000) 409^428 tain, since the numerous ridge jumps make it dif¢cult to track the past positions of the plume centre across Iceland. A general west to east trend of thicker crust across central Iceland compared to the south and north of the island is apparent (Fig. 18b). This is probably caused by the eastward drift of the underlying mantle plume with respect to the Mid-Atlantic Ridge [6]. Studies of the structure of the Faroe^Iceland Ridge (FIR ; e.g. [21]) and Greenland^Iceland Ridge (GIR) [20] suggest crustal thicknesses of 25^30 km along the FIR and 32^38 km along the GIR, with the thickest crust close to the continental margins. The crust beneath Vatnajo«kull is signi¢cantly thicker than that beneath the aseismic ridges. One reason for the di¡erence in crustal thickness may be that some of the crust on the aseismic ridges has been eroded during low sea levels in the past. Alternatively, an increase in the temperature of the Iceland plume would enhance melt production. Using the model of [41], an increase in crustal thickness of 5 km may be attributed to a change of 50³C in the temperature of the mantle, assuming passive upwelling. Above the core of the plume, where active upwelling plays a part in melt generation, the same increase in crustal thickness could be produced by a signi¢cantly smaller temperature change. Studies of the structure of the Reykjanes Ridge [46] suggest that the temperature of the plume £uctuates by V30³C on a time scale of 5^10 Myr [42,43]. Crustal thickening may also be achieved by the addition of new material (intrusive and extrusive) to existing crust. This may occur beneath Vatnajo«kull due to changes in the positions of the rift zones. Vatnajo«kull lies at the northern limit of the EVZ, where melt generation began at V2 Ma, but little spreading is thought to have occurred so far. 3.3. Structure of the uppermost mantle Few direct measurements of the seismic velocity of the uppermost mantle beneath Iceland have been made. Bjarnason et al. [8] report an apparent velocity of 7.6^7.7 km s31 for ray paths crossing the WVZ, whereas Menke et al. [11] report an apparent velocity of 8.0 km s31 for a path cross- ing central Iceland. Synthetic seismogram modelling of the FIRE refraction data [9] suggests a di¡erence of 0.3 km s31 in the uppermost mantle velocity between the NVZ and older parts of eastern Iceland. Gravity modelling along the ICEMELT and SIST (see above) refraction pro¢les and along the FIRE [9] refraction pro¢le shows that the mantle below the rift zones is characterised by lower densities than those found elsewhere beneath Iceland. In addition, mass balance calculations require the uppermost mantle to be less dense below the rift zones than below older crust if we assume that the whole of Iceland is in local isostatic equilibrium. Typically, the density anomaly in the uppermost mantle beneath the rift zones is 60^90 kg m33 , corresponding to a temperature increase of 450^700³C below the rift zones if all of the density reduction is assumed to arise from temperature variations alone. The anomaly may be explained by the di¡erence in temperature between the hot asthenospheric mantle which lies directly beneath the crust in the rift zones and the cool lithospheric mantle which lies directly beneath the crust under older regions of Iceland. The contrast is likely to be most pronounced in southeast Iceland, where the active rift zone cuts through lithosphere of V25 Myr age. Partial melt in the mantle below the rift zones may also contribute to the density anomaly. However, studies based on geochemical data and mathematical models of melt transport (e.g. [9]) suggest that the amount of melt resident in the mantle is less than 1%, so the e¡ect on mantle density is likely to be small. 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