present-day deformation of the pyrenees revealed by gps surveying and earthquake focal mechanisms...
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Rigo et al., 2015 Page 1 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
Present-day deformation of the Pyrenees revealed by GPS surveying and earthquake 1
focal mechanisms until 2011 2
3
A. Rigo1 † *, P. Vernant2, K.L. Feigl3, X. Goula4, G. Khazaradze5, J. Talaya4, L. Morel6, J. 4
Nicolas6, S. Baize7, J. Chéry2, M. Sylvander1 5
6
1 Institut de Recherche en Astrophysique et Planétologie, Université de Toulouse, CNRS, 7
Observatoire Midi-Pyrénées, 14 ave. Edouard Belin, F31400 Toulouse, France. 8
† Now at Laboratoire de Géologie, ENS, CNRS, PSL Research University, 24 rue Lhomond, 9
F75231 Paris Cedex 5, France. 10
* Corresponding author: tel/fax: +33561332969 / +33561332900, e-mail address: 11
[email protected]/[email protected] 12
2 Laboratoire Géosciences Montpellier, Université Montpellier II-CNRS, Pl. E. Bataillon, 13
34095 Montpellier Cedex 05, France 14
3 Dept. of Geoscience, University of Wisconsin, Madison, WI 53706, USA 15
4 Institut Cartogràfic i Geològic de Catalunya (ICGC), Barcelona 08038, Spain 16
5 Universitat de Barcelona, Barcelona 08028, Spain 17
6 Laboratoire de Géodésie et Géomatique, ESGT-CNAM, 72000 Le Mans, France 18
7 Institut de Radioprotection et de Sureté Nucléaire, 92260 Fontenay-aux-Roses, France 19
20
21
Abstract 22
The Pyrenean mountain range is a slowly deforming belt with continuous and moderate 23
seismic activity. To quantify its deformation field, we present the velocity field estimated 24
from a GPS survey of the Pyrenees spanning 18 years. The PotSis and ResPyr networks, 25
Rigo et al., 2015 Page 2 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
including a total of 85 GPS sites, were installed and first measured in 1992 and 1995-1997, 26
respectively, and remeasured in 2008 and 2010. We obtain a deformation field with velocities 27
less than 1 mm/yr across the range. The estimated velocities for individual stations do not 28
differ significantly from zero with 95 percent confidence. Even so, we estimate a maximum 29
extensional horizontal strain rate of 2.0 ± 1.7 nanostrain per year in a N-S direction in the 30
western part of the range. We do not interpret the vertical displacements due to their large 31
uncertainties. In order to compare the horizontal strain rates with the seismic activity, we 32
analyse a set of 194 focal mechanisms using three methods: (i) the ‘r’ factor relating their P 33
and T axes, (ii) the stress tensors obtained by fault slip inversion and (iii) the strain-rate 34
tensors. Stress and strain-rate tensors are estimated for: (i) the whole dataset, (ii) the eastern 35
and western parts of the range separately, and (iii) eight zones, which are defined based on the 36
seismicity and the tectonic patterns of the Pyrenees. Each of these analyses reveals a lateral 37
variation of the deformation style from compression and extension in the east to extension 38
and strike-slip in the west of the range. Although the horizontal components of the strain-rate 39
tensors estimated from the seismic data are slightly smaller in magnitude than those computed 40
from the GPS velocity field, they are consistent within the 2σ uncertainties. Furthermore, the 41
orientations of their principle axes agree with the mapped active faults. 42
43
Key words: (25) Space geodetic surveys, (110) Seismicity and tectonics, (142) Continental 44
deformation: extensional, (156) Dynamics: seismotectonics, (203) Europe 45
46
1 INTRODUCTION 47
The Pyrenees are a mountain belt along the French-Spanish border, where the rate of 48
deformation is low and the seismicity is continuous and moderate (Souriau & Pauchet 1998; 49
Fig. 1A). However, historical earthquakes with probable magnitudes as high as 6.0-6.5 have 50
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been inferred from a seismic sequence with intensity VII - IX in 1427-1428 in the eastern 51
Pyrenees near Olot (Briais et al. 1990; Olivera et al. 2006; Perea 2009) and an earthquake 52
with intensity VIII in 1660 near Lourdes in the central part (Lambert & Levret-Albaret 1996). 53
In order to characterize and to quantify the present-day Pyrenean deformation, we present a 54
velocity field obtained from two GPS networks encompassing the whole Pyrenean range that 55
were surveyed several times between 1992 and 2010. 56
In addition to quantifying the deformation field in the Pyrenees, these two GPS 57
networks may provide answers to questions that have emerged since their installation 20 years 58
ago especially about N-S extension suggested by recent studies (e.g., Nocquet & Calais 2004; 59
de Vicente et al. 2008; Chevrot et al. 2011; Asensio et al. 2012): Is this extension uniform 60
throughout the range? Is this extension mainly revealed by normal fault plane solutions, the 61
expression of horizontal movements or, maybe, principally of vertical movements as 62
suggested by Lacan & Ortuño (2012) and Vernant et al. (2013)? Is it now possible to obtain a 63
coherent stress field in the Pyrenees when others had failed until now, leaving it an open 64
question (Nicolas et al. 1990; Delouis et al. 1993; Souriau et al. 2001; de Vicente et al. 2008; 65
Stich et al. 2010)? 66
Our estimated GPS velocity field is compared with the tectonics and seismicity of the 67
range. In particular, we focus on the stress and strain-rate tensors determined from an updated 68
compilation of the focal mechanisms. 69
70
2 SEISMOTECTONIC SETTING 71
2.1 Pyrenean tectonics 72
The Pyrenees result from the convergence of the Iberian plate and the Eurasian plate. 73
The convergence started 65 Ma ago, following a period of extension (-115 to -80 Ma) related 74
to the opening of the Bay of Biscay to the west (e.g., Jammes et al. 2010). The eastern part 75
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has been affected by Mediterranean tectonics and the opening of the Gulf of Lion 30 Ma ago 76
as reviewed by Choukroune (1992) and Vissers & Meijer (2012). From north to south, the 77
main tectonic structures running E-W along the mountain range include: (1) the North 78
Pyrenean Frontal Thrust (NPFT) overlapping the sedimentary Aquitaine Basin to the north, 79
(2) the North Pyrenean Fault (NPF), separating the Iberian and Eurasian plates, and (3) the 80
South Pyrenean Frontal Thrust (SPFT) overlapping the Ebro Basin to the south (Fig. 1). The 81
NPF is the northern limit of the axial zone constituting a Palaeozoic domain (grey area in Fig. 82
1), and coincides at depth to a step in the Moho of 15-20 km, with the thicker crust below the 83
Iberian part of the range (Hirn et al. 1980). The Moho step progressively decreases in 84
magnitude from west to east and vanishes below the Mediterranean Sea. The structure of the 85
Pyrenees has been analysed by several methods, including: refraction and reflection seismic 86
experiments (e.g., Gallart et al. 1981; Daignières et al. 1994), gravimetric studies and 87
modelling (Torné et al. 1989; Vacher & Souriau 2001), lithospheric tomography with 88
seismological methods (Souriau & Granet 1995; Souriau et al. 2008; Chevrot et al. 2014), and 89
geoelectrical and magnetotelluric methods (Pous et al. 1995; Ledo et al. 2000; Campanyà et 90
al. 2011, 2012). Although the Pyrenean structure is relatively well known at the scale of the 91
range, the characterisation of the structures that are tectonically active at the present time is 92
still a mater of debate. The main E-W faults described above (NPF, NPFT and SPFT) show 93
no evidence of recent activity in the field. The faults identified as active by Lacan & Ortuño 94
(2012) are shown in red in Fig. 1. Both the activity and the mode of deformation of these 95
faults are controversial. For example, in the easternmost part of the Pyrenees, the Têt and 96
Tech faults are considered as normal faults by some authors (e.g., Briais et al. 1990) or as 97
reverse, strike-slip or inactive by others (e.g., Philip et al. 1992; Calvet 1999; Goula et al. 98
1999; Carozza & Delcaillau 2000). Geomorphological investigations identified E-W 99
extensional active faults in the axial zone (Fig. 1B), especially in the Maladeta massif and 100
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near the city of Lourdes (Alasset & Meghraoui 2005; Dubos-Sallée et al. 2007; Ortuño et al. 101
2008; Lacan & Ortuño 2012). To the west of Lourdes, thrust faulting prevails, indicating a 102
compressive regime (Lacan et al. 2012; Fig. 1). According to Lacan & Ortuño (2012), 103
deformation at the present time in the Pyrenees is governed by strike-slip in their western 104
part, by north-south compression with reverse faulting in the northern part of the central 105
Pyrenees. In the axial zone (i.e. the part of the Pyrenees where the topographic elevation 106
reaches 3000 m), deformation occurs on E-W striking en echelon normal faults, indicating N-107
S extension. This extension is also clearly expressed by the focal mechanisms of earthquakes 108
(Fig. 4; Chevrot et al. 2011) and the stress tensors determined by de Vicente et al. (2008). 109
110
2.2. Seismicity 111
Figure 1A shows the seismicity between 1989 and 2011, as compiled by the 112
Observatoire Midi-Pyrénées (OMP) and the Institut Cartogràfic i Geològic de Catalunya 113
(ICGC). The seismic activity is continuous with more than 15,000 moderate events with 114
magnitudes less than 5.5. Most of the events are located in the upper crust with depths less 115
than 15 km. The deepest events with depth 23-25 km occur in the western part of the belt. 116
Two important clusters are not considered in the following because they were induced 117
by human activity. The cluster located to the west of the city of Pau is related to production of 118
natural gas in the Lacq gas field (Bardainne et al. 2008). The E-W elongated cluster (between 119
1°W and 1°24’W) east to the city of Pamplona (Spain) is mainly but not entirely related to the 120
water impounded behind the Itoiz dam beginning in 2004 (Ruiz et al. 2006a; Durá-Gómez & 121
Talwani 2010). 122
The pattern of the seismicity shows a dichotomy between the eastern and the western 123
parts of the range, as suggested earlier (Souriau & Pauchet 1998). In the western part, the 124
seismicity is concentrated along a linear band of at least 30 km width. On N-S cross-sections, 125
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the seismicity dips to the north at 55-60° down to 25 km depth (Gagnepain-Beyneix 1987; 126
Rigo et al. 2005). This seismicity is not clearly associated with crustal faults mapped in the 127
belt and the NPF seems to be seismically inactive. The most significant events were the M 128
5.3-5.7 Arette earthquake in 1967 (Hoang Trong & Rouland 1971), the Ml 5.1 Arudy 129
earthquake in 1980 (Gagnepain-Beyneix et al. 1982) and Ml 5.0 Argelès-Gazost earthquake in 130
2006 (Sylvander et al. 2008). 131
In the eastern part of the range, the seismicity is more diffuse and less prominent than 132
in the west. In the Maladeta area, the seismicity is fairly dense and active normal faults have 133
been identified in the field. The most recent significant earthquake occurred in 1996 near the 134
city of St-Paul-de-Fenouillet with a magnitude Ml 5.2 (Rigo et al. 1997; Pauchet et al. 1999; 135
Rigo & Massonnet 1999; Rigo 2010). 136
137
2.3 Previous geodetic studies 138
In 1992, the PotSis GPS network was installed in the easternmost part of the Pyrenees 139
in order to survey the area affected by the 1427 - 1428 seismic sequence (Briais et al. 1990; 140
Goula et al. 1996; Lambert & Levret 1996; Olivera et al. 2006: Lacan & Ortuño 2012). In 141
1995 and 1997, we installed the ResPyr network covering the entire Pyrenees range in order 142
to characterise and quantify its internal deformation. At that time, the deformation rate of 143
Pyrenees had not been measured directly. The deformation pattern expected was N-S 144
compression, according to geological and geodynamical considerations over time scales of 10 145
Myr. Surprisingly, the first GPS measurement of deformation across the Pyrenees yielded 146
extension at a rate of 0.5 ± 0.5 mm/yr (Nocquet & Calais 2004). The large uncertainty was 147
due to the inclusion of only a single continuous GPS site on the Spanish side of the range. 148
Nocquet (2012) updated this rate to a value less than 0.2 mm/yr. However, studying the 149
kinematics of the Iberia-Maghreb plate boundary, Stich et al. (2006) reported southward 150
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velocities at 1.0 ± 0.6 mm/yr with respect to Europe of continuous GPS stations LLIV and 151
ESCO (fig. 8) on the Spanish side of the Pyrenees. Another recent study (Asensio et al. 2012), 152
based on continuous GPS observations over 3.5 years at 35 sites, shows that the stations south 153
of the western and central Pyrenees move away from the stable part of western Europe with a 154
velocity of 0.5 to 1.5 mm/yr. A NNE-SSW profile across the western Pyrenees indicates 155
extension at 2.5 ± 0.5 nstrain/yr. If we assume the width of the Pyrenees to be 100 - 150 km, 156
then this strain rate would be equivalent to 0.3 -0.4 mm/yr of extension. 157
158
3 GPS DATA AND ANALYSIS 159
3.1 GPS campaigns 160
Two GPS networks were installed in the Pyrenees in three phases during the 1990’s 161
(Fig. 1B). The PotSis network, covering the eastern part of the range with a 20 km average 162
distance between sites, was installed and measured for the first time in 1992 (Talaya et al. 163
1999). Each of the 24 sites was surveyed four times: in 1992, 1994, 1999, and 2006. Some 164
stations were also surveyed in 1996 following the Ml 5.2 earthquake of St-Paul-de-Fenouillet 165
(Rigo et al. 1997). 166
The ResPyr network, covering the whole Pyrenees and the northern and southern 167
forelands, was installed and first measured in 1995 from the Mediterranean Sea to the centre 168
of the range (at the city of Bagnères-de-Bigorre, site BGRN), and in 1997 from the centre to 169
the Atlantic Ocean and for the forelands (Fig. 1B; Fleta et al. 1996). The ResPyr network is 170
composed of 70 stations from which 9 are common to the PotSis network, with an average 171
spacing of 50 km. In 1995 and 1997, the satellites’ signals were recorded at each site during 172
three evening sessions of at least 8 hours. 173
Both networks were re-surveyed in 2008 and 2010 with sessions of 36 - 72 hours 174
(Table 1). Given the long time span between the first and the last surveys, several different 175
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types of receivers (Trimble 4000SST, SSE and NetRS; Ashtech XII, Z-XII, Z-X, L-XII, LM-176
XII and UZ-XII; Rogue SNR-8100) and antennas (Trimble models 14532.00, 14532.10, 177
22020-00, 29659.00, 41249.00; Ashtech models 700228D, 700936A, 701975.01A, 700228A, 178
701945-01, and a Rogue antenna with choke rings) were used. The 74 sites observed are 179
given in Table 1. The sites with names starting with "0" use a constrained centering technique 180
on pillars. The others were surveyed using tripods. The tripod setup can be subject to 181
centering errors of up to ~2 mm, inducing velocity errors of less than 0.2 mm/yr over time 182
spans of more than 10 years. Anomalously high velocities relative to the surrounding points 183
were obtained due to local instabilities or due to identified mistakes by the operators. These 184
aberrant measurements are not shown or discussed in the following. 185
186
3.2 Data analysis 187
We use the GAMIT/GLOBK software package (http://www-gpsg.mit.edu) to compute 188
the coordinates and velocities of the surveyed GPS sites using a three-step strategy (Dong et 189
al. 1998; Feigl et al. 1993). To tie our local network to the ITRF reference frame, we include 190
GPS data from 18 International GNSS Service (IGS) stations, when available (BELL, CAGL, 191
CANT, CREU, EBRE, ESCO, GRAS, LLIV, MADR, MARS, MTPL, POTS, SFER, TLSE, 192
VILL, WSRT, WETT, ZIMM). No IGS sites were available in 1992, but in 1994, nine sites 193
were already available (BELL, CREU, EBRE, ESCO, LLIV, MADR, TLSE, WETT and 194
ZIMM). The two continuous GNSS sites close to our network were also added to the analysis 195
(LACA and FJCP). Following Reilinger et al. (2006), we account for temporally correlated 196
noise in each continuous GPS time series by using the first-order Gauss-Markov extrapolation 197
(FOGMEX) algorithm proposed by Herring (2003) to determine a random-walk noise term, 198
which we then incorporated into the Kalman filter used to estimate the velocities. For the 199
episodically measured sites, we apply a random-walk of 1 mm/sqrt(yr), equal to the average 200
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of values obtained for 320 continuous GPS stations globally distributed with time series spans 201
ranging from 2.5 to 17 years. Velocities and their 1σ uncertainties were estimated in the 202
ITRF2008 reference frame and then transformed into the Eurasian reference frame by 203
minimizing the horizontal velocities of the survey sites and the IGS stations located on the 204
Eurasian plate (BELL, CAGL, CANT, CREU, EBRE, ESCO, GRAS, LLIV, MADR, MARS, 205
MTPL, POTS, TLSE, VILL, WSRT, WETT, ZIMM). The velocities in the Eurasia reference 206
frame are given in Table 2. The WRMS value for the horizontal velocity residuals of these 93 207
sites is 0.11 mm/yr. The velocities with 95% confidence ellipses are shown in Fig. 2. 208
209
4 VELOCITY FIELD 210
We finally obtain a set of 80 velocity vectors (74 campaign stations plus 6 continuous 211
stations) covering the whole Pyrenean range and the forelands. We do not interpret the 212
vertical velocities because their uncertainties are large. The time spans vary from 18 years for 213
PotSis (the easternmost and densest network), to 15 years and 13 years for the eastern and 214
western parts of ResPyr, respectively. Most of the velocities are smaller than their 215
uncertainties. Their directions are variable, making it difficult to characterise a general trend 216
of the deformation in the Pyrenees. Averaged over the entire network, the velocity 217
components VE = -0.3 ± 0.3 mm/yr (± 1σ) and VN = 0.0 ± 0.3 mm/yr (± 1σ) seem to suggest a 218
westward motion of the Pyrenees with respect to Eurasia. However, this motion is 219
concentrated in the centre part of the network (Fig. 2), which was first measured during two 220
campaigns in 1995 and 1997. In 1995, the measured sites were at longitudes east of 0°E and 221
in 1997, west of 0°E. This configuration may have induced a bias, generating this apparent 222
localized westward motion and we consider it as insignificant. 223
To interpret the velocity field, we compute five N-S profiles perpendicular to the E-W 224
Pyrenean tectonic frame, and one E-W profile, as indicated by arrows in Fig. 2. Each N-S 225
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profile has a half-width of projection of 45 km. The E-W profile includes all the points. We 226
show the profiles in Fig. 3 with their corresponding topographic elevations. Profiles AA’ to 227
DD’ exhibit small strain rates from 0.0 to 0.8 nstrain/yr with uncertainties ranging from 1.1 228
nstrain/yr to 1.7 nstrain/yr. The westernmost profile (EE’) indicates N-S extension at a rate of 229
2.0 ± 1.8 nstrain/yr. Our results are compatible with the 2.5 ± 0.5 nstrain/yr estimated by 230
Asensio et al. (2012) for the western part of the range from a 3.5-year span of continuous GPS 231
data. 232
233
5 FOCAL MECHANISMS 234
The Pyrenees are shaken by a few hundred earthquakes every year. The maximum 235
magnitude recorded during the last 50 years is Ml = 5.7 for the 1967 Arette earthquake (date 236
19670813 in the table of appendix). The last major events were the Ml = 5.2 St-Paul-de-237
Fenouillet earthquake in 1996 (date 19960218 in the table of appendix; Rigo et al. 1997; 238
Pauchet et al. 1999; Rigo 2010) and the Ml = 5.0 Lourdes event in 2006 (date 20061117 in the 239
table of appendix; Sylvander et al. 2008). In order to compare qualitatively and quantitatively 240
the deformation fields inferred from the seismic and geodetic observations, we analyse the 241
available focal mechanisms. Several previous studies have used fewer than ten normal 242
faulting mechanisms to argue for north-south extension across the Pyrenees (de Vicente et al. 243
2008; Stich et al. 2010; Chevrot et al. 2011; Asensio et al. 2012). Using three different 244
methodologies in analysing the focal mechanisms, we seek to constrain the stress field when 245
others failed (Nicolas et al. 1990; Delouis et al. 1993). Does claimed N-S extension apply to 246
the whole range or is it restricted to some areas? 247
Our set of Pyrenean focal solutions is constituted by the best-constrained dataset of 248
Souriau et al. (2001). It has been updated to include the focal mechanisms from Dubos et al. 249
(2004), Ruiz et al. (2006b), Sylvander et al. (2008), and Chevrot et al. (2011) (Table 250
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Appendix A). Thus, we obtain a final set of 194 focal mechanisms from 1967 to 2010 with 251
local magnitudes (Ml) ranging from 1.5 to 5.7 (Fig. 4). Like the seismicity, the focal solutions 252
are concentrated in the western part of the range and diffuse elsewhere. All types of 253
mechanisms are present: reverse faulting principally at the eastern and central parts of the 254
range with N-S and NW-SE striking nodal planes; strike-slip faulting both right-lateral and 255
left-lateral everywhere; and normal faulting mainly striking E-W principally in the central 256
part (south of the city of Tarbes). From this map, we infer that: (i) the deformation pattern is 257
not uniform across the Pyrenees; (ii) extension is not the only mode of deformation; and (iii) 258
there must be strong lateral variations in stress. 259
To characterise more precisely the Pyrenean deformation, we first analyse the focal 260
mechanisms following the methodology proposed by Delacou et al. (2004), based on the 261
plunge of the P and T axes. The P axes are vertical in an extensional domain whereas T axes 262
are vertical in a compressional regime. If the plunges of the P and T axes are equal, then the 263
stress field favours strike-slip faulting. Delacou et al. (2004) defined a factor r ranging from -264
90° for pure extension to 90° for pure compression, the null value corresponding to pure 265
strike-slip. We mapped the r factor values, one per focal solution, in Fig. 5 (top) with an 266
enlargement for the western part of the Pyrenees where the data are densest (Fig. 5, bottom). 267
Figure 5 shows that the Pyrenean deformation field is more complex than uniform 268
extension. Extension is apparent in the central part of the Pyrenees, in the area south of the 269
city of Tarbes, including three of the four normal faults mapped by Lacan & Ortuño (2012). 270
Two other areas of extension are identified: the area around the city of Pamplona in Spain, 271
and an area to the East of the Pyrenees, near the city of Olot, consistent with the presence of 272
NW-SE striking normal faults. A large E-W elongated area with a predominant strike-slip 273
regime is identified in the western part of the range, southwest to the city of Pau. We also 274
identify areas with compressional features in the eastern and western parts associated with 275
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strike-slip deformation patterns and probably indicating a transpressional deformation style. 276
To the east, the compressional features correspond to the 1996 St-Paul-de-Fenouillet 277
earthquake, where the mainshock was a E-W left-lateral strike-slip mechanism and the 278
aftershocks had mostly reverse-faulting mechanisms (Rigo et al. 1997; Pauchet et al. 1999). 279
280
6 STRESS AND STRAIN-RATE TENSORS 281
6.1 Stress tensors 282
To go further in the analysis of the focal mechanisms, we compute the stress tensors. 283
We proceed by a fault-slip inversion using a Monte Carlo search method (Etchecopar et al. 284
1981) through the FSA software (Burg et al. 2005; Célérier 2011; Célérier et al. 2012). The 285
inversion searches for the stress tensor that explains the majority of focal mechanisms. The 286
magnitude of the events is not taken into account in the inversion. The focal mechanisms are 287
given by one of the nodal planes. Then, we performed two inversions, the first one for the 288
“first” nodal plane chosen randomly, the second one with the other nodal plane. Next, we 289
obtain the final stress tensor from a third inversion with the nodal planes, one per focal 290
mechanism, having the smallest misfit in the previous two inversions. The uncertainty areas 291
are defined from the five best solutions in each inversion. An inversion including all 194 focal 292
mechanisms yields an extensional stress with the most compressive principal axis σ1 oriented 293
vertically and the least axis σ3 oriented horizontally in the NE-SW direction (Table 3 and Fig. 294
6). This tensor is very similar to the one obtained by de Vicente et al. (2008), suggesting 295
active N-S extension. 296
Because of the distribution of the seismicity and diversity of the focal mechanisms, we 297
distinguish between the eastern and the western parts of the Pyrenees. In each part, we 298
determine the stress tensor using the same method (Table 3 and Fig. 6). In the eastern part, the 299
stress tensor shows a strike-slip regime where σ1 and σ3 are directed N-S and E-W, 300
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respectively, as also found by Goula et al. (1999). On the western side, extension dominates 301
with σ1 vertical and σ3 horizontal but with a N-S direction instead. Figure 5 demonstrates that 302
the stress field varies across the Pyrenees, contradicting the uniformity assumed in previous 303
studies (de Vicente et al. 2008; Nocquet & Calais 2004; Nocquet 2012). Consequently, we 304
define eight zones where we estimate the stress tensors locally (Table 3, Fig. 6). This zoning 305
is similar to the one proposed by Baize et al. (2013) based on the combination of geologic, 306
seismologic, and tectonic data to assess seismic hazard. The number of data in each zone 307
varies. Zones 1, 5, and 6 include more than 30 focal mechanisms, whereas zones 2 and 7 308
include fewer than 10 data. Zone 4 is poorly constrained because it contains only 2 data. As 309
shown in Fig. 6, three zones are in compression: zones 1 and 6 with N-S compression, zone 4 310
with E-W compression. Zone 6 includes E-W striking active reverse faults (Lacan & Ortuño 311
2012). Zones 3, 5, and 7 exhibit a predominance of strike-slip deformation style with 312
extension and might be considered as transtensional areas. Zones 2 and 8 exhibit a pure 313
extension regime with NE-SW and NNW-SSE direction, respectively. Zone 5 is of particular 314
interest because the estimated σ3 direction is compatible with the normal faults proposed by 315
Lacan & Ortuño (2012). 316
Two other interesting points concern the σ3 axis. First, σ3 is the best-constrained 317
component in each case studied. In other words, the uncertainty of σ3 is less than those of 318
either σ1 or σ2. Second, the σ3 axis of least compressive stress is horizontal in all zones except 319
zone 6. The σ3 directions are consistent between zones 1, 2, and 3 in one group, zones 4 and 5 320
in another group, as well as zones 7 and 8 in a third group. This consistency and the stability 321
of a horizontal σ3 all over the range might explain why a purely extension stress tensor is 322
obtained at the Pyrenean scale. 323
324
6.2 Seismic strain-rate tensors 325
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In the following, we quantify the Pyrenean deformation by determining geodetic and 326
seismic strain-rate tensors. We calculate the seismic strain-rate tensor according to the 327
formulations of Kostrov (1974) and Jackson & McKenzie (1988), as used previously in 328
different active regions (e.g., Masson et al. 2005). The average seismic strain rate !!" during a 329
time interval Δt is: 330
!!" =1
2!∆!" !!"!
!
!!!
where µ is the modulus of rigidity, V is the crustal volume containing the seismic sources, and 331
!!"! gives the components of the moment tensor !! of earthquake n as calculated from the 332
double-couple focal mechanism (Appendix A). We assume the shear modulus µ = 3 x 10!"Pa. 333
We calculate the strain-rate tensors for the whole range, then for the eastern and western 334
parts, and finally in each of the 8 zones defined for the stress tensor determinations over a 335
time span of 42.6 years. To calculate the seismogenic volume V, we take its vertical 336
dimension to be the maximum focal depth in each zone (Table 4). We also compute four 337
different strain-rate tensors in each zone: one for the complete set of focal mechanisms for an 338
elementary volume and without taking into account the magnitude (black strain-rate tensors in 339
Fig. 7) to be directly compared in directions with the stress tensors shown in Fig. 6, one for 340
the total set of focal mechanisms, one for the events with magnitude M ≥ 4.5 (and M < 5.7) 341
named high moment (HM) events, and finally one for the events with magnitude M < 4.5 342
named low moment (LM) events. The focal mechanisms of the LM events are well 343
constrained because they are determined from local and/or temporary seismic networks. The 344
HM events include 18 focal solutions, which is less than 10% of our dataset of focal 345
mechanisms. Nevertheless, because of their high moment, they will dominate the magnitudes 346
and directions of the components of the strain-rate tensors. For this reason, we also determine 347
Rigo et al., 2015 Page 15 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
the strain-rate tensors for the set of LM events to illustrate the deformation induced by this 348
prevailing type of seismic event (90% of the activity) in the Pyrenees. 349
The results for the horizontal components of the strain-rate tensors are shown in Table 350
4 and Fig. 7. As expected, the magnitudes of the strain rates for the complete dataset (denoted 351
(a) in Table 4 and Fig. 7) and for the HM events (denoted (b) in Table 4 and Fig. 7) are 352
similar, ranging from 0.001 nstrain/yr to 2 nstrain/yr. The magnitudes of the strain rates for 353
the LM events (denoted (c) in Table 4 and Fig. 7) are smaller by a factor of 10. Where the 354
strain-rate tensors (a) and (b) are very similar, they are represented by a single tensor labelled 355
(a b) in Fig. 7. We note the consistency between the directions of horizontal components of 356
the strain-rate tensor computed without the magnitude (black strain-rate tensors in Fig. 7) and 357
the horizontal axis of the stress tensors shown in Fig. 6, except in zones 3 and 6. In zone 3, 358
the directions of the horizontal components of the strain-rate tensor fall within the 359
uncertainties of the stress tensor such that they can be considered consistent. For zone 6, the 360
large discrepancy should be due to the large uncertainty in the estimate of the σ1 axis of the 361
stress tensor. The large discrepancies in direction between the strain-rate tensors without 362
taking into account the magnitudes (black) and the strain-rate tensors labelled (a) are due to 363
the predominance in the calculations of the mechanisms with the largest magnitudes. 364
For the whole Pyrenean chain, the strain-rate tensor for the LM events characterises an 365
extension regime with a NE-SW direction consistent with the corresponding stress tensor and 366
with the results of de Vicente et al. (2008). In the cases (a) and (b) (all events and HM events, 367
respectively), the strain-rate tensors are characteristic of a transtensional regime with a NW-368
SE extensional direction. The variability of the cases (a-b) and (c) is the expression of the 369
geographical variability of the deformation style in the Pyrenees. This heterogeneity is 370
noticeable when considering the eastern and western parts of the range. For the eastern region, 371
the (a) and (b) cases have strain-rate tensors corresponding to NW-SE extension, whereas 372
Rigo et al., 2015 Page 16 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
they correspond to strike-slip style in zone 1, to NE-SW extension style in zone 2, to E-W 373
extension in zone 3, and to E-W compression in zone 4. Secondly, for case (c), the strain-rate 374
tensors correspond to N-S compression in zone 1, E-W extension in zone 2, strike-slip in zone 375
3, and E-W compression in zone 4. For the western part of the Pyrenees, the strain-rate tensor 376
for the (a) and (b) cases characterises an E-W transtensional regime that combines the strike-377
slip styles in zones 5 and 6, and the extensional styles in zones 7 and 8. Case (c) shows strain-378
rate tensors with NE-SW extension for the western Pyrenean region and for zones 5, 7 and 8, 379
but transpression in zone 6. 380
381
6.3 Geodetic strain-rate tensors 382
Even though the velocities estimated for individual GPS stations are negligible with 383
95% confidence, we can group them together to determine the geodetic strain-rate tensors for 384
a comparison with the seismic strain-rate tensors. The geodetic strain-rate tensor is the 385
symmetric part of the 2-D tensor of the horizontal velocity gradient (Malvern 1969). These 386
tensors are determined in each seismic zone according to the following method. To estimate a 387
unique strain-rate tensor for each zone, we compute the linear trend of the velocity field, that 388
minimizes the residual velocity on east and north components for all the GPS sites included in 389
the zone. We then compute the spatial derivatives of this linear field which constitute the 390
average velocity gradient over the zone. In order to verify if this tensor is significant, we 391
compute up to 1000 strain-rate tensors by randomly perturbing the GPS velocities within their 392
uncertainties. We then calculate the reduction function, which is the ratio of the mean wrms 393
of the perturbed solutions to the wrms of the original GPS solution. A low value of the 394
reduction function implies that even with small velocity perturbations, we find a velocity 395
gradient similar to the original solution for the study area, hence the lower the value of the 396
reduction function, the more significant the estimated strain-rate tensor. The results are given 397
Rigo et al., 2015 Page 17 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
in Table 4, where they are denoted (d). Zone 7 has no strain-rate tensor determination because 398
it includes only one GPS site. If the reduction function is greater than 0.7, then the 399
corresponding strain-rate tensor is not well constrained because most of the 1,000 perturbed 400
solutions are statistically compatible with the originally velocity field. Table 4 shows that the 401
reduction function values are less than 0.6 in only four areas: the western region, the eastern 402
region, the whole Pyrenean range, and zone 3. We plot only the first three strain-rate tensors 403
with the corresponding velocity field in Fig. 8 (top). Zone 3 also has a small reduction 404
function (0.29) indicating a NW-SE extension not consistent with the corresponding seismic 405
strain-rate tensor obtained with diffuse and heterogeneous focal mechanisms. 406
Discrepancies exist between the velocity field estimated by Asensio et al. (2012) and 407
our study. However this could be due to a misalignment of the reference frames. For an easier 408
comparison, we compute the strain-rate tensors from the velocity field obtained by Asensio et 409
al. (2012) and denoted (e) in Table 4. The strain-rate tensors are independent of the reference 410
frame. In order to include their GPS stations, we extend the western region to the south. The 411
velocity field from Asensio et al. (2012), modified to be in a reference frame similar to our 412
study, and the strain-rate tensors are shown in Fig. 8 (bottom). The strain-rate tensors 413
estimated from the two GPS datasets are similar and compatible within their respective 414
uncertainties. From this comparison, we conclude that both velocity fields suggest a roughly 415
NS extension. 416
The magnitudes of the geodetic estimates of strain rate, however, are slightly greater 417
than the seismic estimates considering the HM events. On the other hand, they are consistent 418
within the 2σ uncertainties, especially in zones 4, 5, 8 and for the whole Pyrenees range and 419
for its western part (Table 4). Nevertheless, compared to the profiles (Fig. 3), the geodetic 420
strain rates are consistent with the seismic ones for zones 1 and 2 with profiles AA’, and 421
zones 5 and 6 with profile EE’. A deformation style of N-S extension seems to characterise 422
Rigo et al., 2015 Page 18 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
the whole Pyrenees range in both cases. Transtension is apparent in the western region of the 423
range with a NW-SE extensional direction for our data and a NE-SW direction of greater 424
extension for Asensio’s observations, consistent with the overall seismic strain-rate tensor for 425
all events and the HM subset within this zone. The eastern part of the range shows poorly 426
constrained strain-rate tensors with a strike-slip deformation regime for our data and with NE-427
SW extension for Asensio’s data. 428
The seismic catalog we used spans only ~40 years, a small fraction (2 percent) of the 429
recurrence interval if of the order of ~2500 years for magnitude 6.5 earthquakes estimated 430
from a previous study of geodetic strain rates spatially averaged over the entire Pyrenean 431
range (Asensio et al. 2012). Since large earthquakes occur irregularly, any estimates of strain-432
rate and its attendant uncertainty that are based on seismicity are very likely to be biased by 433
temporal aliasing. Furthermore, the assumption of a periodic or “characteristic” earthquake is 434
doubtful at best. In California, where the rate of deformation is arguably at least an order of 435
magnitude faster than in the Pyrenees, large earthquakes occur on the San Andreas fault at 436
irregular intervals with large variance in timing (Sieh et al., 1989). Similarly, extrapolating 437
the deformation rate in time from the 1966 Parkfield earthquake failed to predict the next 438
large earthquake there with 95% confidence (Murray & Segall 2002). 439
Consequently, we compare the geodetic and seismic strain tensors in terms of spatial 440
orientation rather than temporal rate. Such an approach has been used successfully in 441
California, where the catalog of earthquakes for which a centroid moment tensor can be 442
calculated spans only a small fraction of the time since a large earthquake with magnitude 443
greater than 7 on the San Andreas fault (e.g., Ekström & England 1989). Nonetheless, the 444
“orientations of relative velocity … determined from the seismicity between 1977 and 1987 445
agree within a few degrees with those determined from plate motions” (Ekström & England 446
1989). The approach is further justified mathematically by the fact that the orientation of the 447
Rigo et al., 2015 Page 19 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
principal axis is the only directional quantity of the three required to define a horizontal strain 448
rate tensor. Since this orientation does not involve time, it cannot be biased by temporal 449
aliasing. Furthermore, a calculation including the focal mechanisms for small-magnitude 450
earthquakes is likely to lead to an estimate of the orientation of the strain field that better 451
represents the tectonic style than one neglecting them. 452
453
7 DISCUSSIONS AND CONCLUSION 454
We have analysed GPS surveys over the whole Pyrenean range at 74 sites spanning a 455
time interval of 18 years. The resulting velocity field (Fig. 2) shows that only a few of the 456
velocities are significantly different from zero with 95% confidence. Projected along profiles, 457
only the westernmost N-S profile (profile EE’ in Fig. 3), with a deformation rate of 2.0 ± 1.8 458
nstrain/yr, approaches the value of 2.5 nstrain/yr given by Asensio et al. (2012). In the east, 459
Asensio’s study and ours show insignificant horizontal deformation rates. Moreover, since the 460
measured networks include sites on both sides of the Pyrenees, we infer that the continental 461
collision that generated this range appears now to have ceased to deform measurably. Thus 462
we conclude that the Iberian plate is attached to the Eurasian one to within a few tenths of a 463
millimeter per year. 464
Despite this very low deformation rate, we observe a diversity of deformational styles. 465
Extension is principally present in the central part of the range, where most of the earthquakes 466
analysed by de Vicente et al. (2008) and Chevrot et al. (2011) occur. The westernmost zone of 467
the Pyrenees also exhibits extension, principally in the Spanish side around the city of 468
Pamplona, with a predominant strike-slip regime. At the ends of the range, horizontal 469
compression is apparent, especially in the eastern part, where the deformation is probably 470
amplified by the 1996 seismic crisis of St-Paul-de-Fenouillet (Rigo et al. 1997; Pauchet et al. 471
1999; Rigo 2010). In the western part, an area of right-lateral strike-slip deformation regime 472
Rigo et al., 2015 Page 20 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
(zone 6) connects two areas (zones 5 and 7-8) with perpendicular extension directions. This 473
result suggests a rotation of the principal axis σ2 from vertical to horizontal around a NE-SW 474
horizontal σ3 axis. This interpretation may explain why the fault-slip inversion of all focal 475
mechanisms gives a stress tensor similar to the one obtained by de Vicente et al. (2008). We 476
divide the Pyrenean range in eight zones in addition to the whole Pyrenees range and its 477
western and eastern parts, for which we determined the seismic and geodetic stress and strain-478
rate tensors (Fig. 6, 7 and 8). Overall, the orientations of seismic stress and strain-rate tensors 479
are consistent with the mapped active faults. Schematically, the Pyrenean deformation regime 480
can be described as varying from transpression to the east to transtension to the west. Thus, 481
deformation in the Pyrenees cannot be reduced to a single style but varies from east to west 482
and from north to south over length scale of 20-40 km. 483
We conclude with three remarks. First, regarding the distribution of the seismicity, we 484
note diffuse seismicity in the eastern part with a concentration at the Maladeta area, which is 485
constituted by a granitic massif (Ortuño et al. 2008). In the central part of the range, the 486
seismicity is principally located in the boundary zone between the North Pyrenean Zone and 487
the Axial Zone. Since there is almost no seismic activity in the internal part of the range, this 488
seismicity might be the expression of the deformation of the contact of two zones and not of 489
the entire range. Because of the sparsity of seismicity, we cannot characterise or quantify the 490
deformation at the northern and southern fronts of the Pyrenees. Measuring the rate of 491
deformation there with geodetic techniques would require to resurvey the survey mode GPS 492
networks and develop a denser network of continuously operating GNSS stations. 493
The second remark concerns the heterogeneity of the internal deformation of the 494
Pyrenees, which is clear in Figs 5, 6, and 7, where the style of deformation changes from one 495
area to another. Since we divided the Pyrenees in zones according to seismicity and tectonics, 496
the estimated strain-rate tensors capture the spatial complexity of the deformation field with a 497
Rigo et al., 2015 Page 21 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
resolution of around 50 km. Camelbeeck et al (2013) argued from the second derivative of the 498
gravitational potential energy that the deformation styles in the Pyrenees may vary laterally 499
over a few tens of kilometres. Although seismic and geodetic data cannot detect such details, 500
but our and their observations are consistent, for example, in the central and eastern parts of 501
the range with extension and strike-slip deformation styles, respectively. 502
Thirdly, we have analysed only the horizontal deformation. Further research is 503
required to constrain the vertical motion in the Pyrenees. Although Gimenez et al. (1996) 504
analysed levelling data to find 1-4 mm/yr of uplift in the southeastern part of the range 505
(Catalonia), Rigo & Cushing (1999) showed that there is no significant vertical movement 506
along a short line in the central part of the range. However, with these fragmentary results, we 507
cannot exclude the possibility of mostly vertical motion, as modelled by Vernant et al. (2013). 508
To evaluate this possibility, it would be necessary to measure levelling lines across the 509
Pyrenees to capture the differential vertical motion between the internal and higher part of the 510
range and the forelands. 511
512
Acknowledgements 513
We are particularly grateful to the numerous participants to the GPS campaigns in the field, 514
coming from ESGT, IRSN, IGN, ICGC and the universities of Toulouse, Montpellier and 515
Barcelona. We thank Annie Souriau and Sébastien Chevrot for constructive discussions. We 516
thank R.W. King and an anonymous reviewer for their pertinent and very helpful comments 517
on the manuscript. This work benefited from the instruments of Parc GPS INSU and from the 518
financial support of the Tectoscope Positionnement, PNRN, 3F and CT3 programs from 519
INSU/CNRS and of the Regional Council of Midi-Pyrénées and of Cataluña Province. The 520
figures were prepared using the Generic Mapping Tool GMT (Wessel & Smith 1991). 521
522
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trough and surrounding areas, Tectonophysics, 203, 99-109. 676
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XIV and XV centuries in Catalonia (NE Spain), in First European Conference on 678
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North Maladeta Fault (Spanish Central Pyrenees) as the Vielha 1923 earthquake 681
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failles inverses d'âge quaternaire dans l'Est des Pyrénées: implications 690
sismotectoniques, C. R. Acad. Sci. Paris, 314, 1239-1245. 691
Pous, J., Ledo, J., Marcuello, A. & Daignères, M., 1995. Electrical resistivity model of the 692
crust and upper mantle from a magnetotelluric survey through the central Pyrenees, 693
Geophys. J. Int., 121, 750-762. 694
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Kadirov, F., Guliev, I., Stepanyan, R., Nadariya, M., Hahubia, G., Mahmoud, S., Sakr, 696
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K., ArRajehi, A., Paradissis, D., Al-Aydrus, A., Prilepin, M., Guseva, T., Evren, E., 697
Dmitrotsa, A., Filikov, S. V., Gomez, F., Al-Ghazzi, R. & Karam, G., 2006. GPS 698
constraints on continental deformation in the Africa‐Arabia‐Eurasia continental 699
collision zone and implications for the dynamics of plate interactions, J. Geophys. 700
Res., 111, 2156-2202. 701
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Fenouillet earthquake (Pyrenees, France): A complete pre-, co- and post-seismic 703
scenario, Tectonophysics, 480, 109-118. 704
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seismicity in the central part of the Pyrenees (France), and tectonic implications, J. 706
Seismology, 9, 211-222. 707
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(Pyrénées-Atlantiques), C.R. Acad. Sci. Paris, 329, 697-704. 713
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Seismology, 1, 3-14. 716
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Fernandez, C. & Gonzalez-Cortina, J. M., 2006a. Aftershocks series monitoring of the 718
September 18, 2004 M=4.6 earthquake at the western Pyrenees: A case of reservoir-719
triggered seismicity?, Tectonophysics, 424, 223-243. 720
Ruiz, M., Gallart, J., Diaz, J., Olivera, C., Pedreira, D., Lopez, C., Gonzalaz-Cortina, J. M. & 721
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Geophysics, 55, 293–305. 728
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lithosphere from teleseismic data, Tectonophysics, 460, 206-214. 730
Souriau, A., Sylvander, M., Rigo, A., Fels, J.-F., Douchain, J.-M. & Ponsolles, C., 2001. 731
Sismotectonique des Pyrénées: principales contraintes sismologiques, Bull. Soc. géol. 732
Fr., 172, 25-39. 733
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from local and teleseismic data, J. Geophys. Res., 100, 18,117-18,134. 737
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earthquakes 2005-2008, Tectonophysics, 483, 390-398. 739
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Maghreb plate contact from seismic moment tensors and GPS observations, 741
Tectonophysics, 426, 295-317. 742
Sylvander, M., Souriau, A., Rigo, A., Tocheport, A., Toutain, J. P., Ponsolles, C. & 743
Benahmed, S., 2008. The November 2006, ML = 5.0 earthquake near Lourdes (French 744
Pyrenees): normal faulting in an active mountain belt, Geophys. J. Int., 175, 649-664. 745
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Talaya, J., Feigl, K., Térmens, A. & Colomina, I., 1999. Practical lessons from analysis of a 746
GPS network designed to detect movements of = 1 mm/year in the eastern Pyrenees, 747
Phys. Chem. Earth, 24, 355–359. 748
Torné, M., Cabissole, B. D., Bayer, R., Casas, A., Daignières, M. & Rivero, A., 1989. Gravity 749
constraints on the deep structure of the Pyrenean belt along the ECORS profile, 750
Tectonophysics, 165, 105-116. 751
Vacher, P. & Souriau, A., 2001. A three-dimensional model of the Pyrenean deep structure 752
based on gravity modelling, seismic images and petrological constraints, Geophys. J. 753
Int., 145, 460-470. 754
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rebound triggers extension in low convergent mountain ranges, Geology, 41, 467-470. 756
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Pyrenees, Earth-Science Reviews, 114, 61-83. 758
Wessel, P. & Smith, W.H.F., 1991. Free software helps map and display data, EOS, Trans. 759
Am. Geophys. Un., 72(41), 441. 760
761
Rigo et al., 2015 Page 32 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
Tables 762
763
764
Table 1: Schedule of occupation of the PotSis and ResPyr GPS Pyrenean sites. 765
766
Rigo et al., 2015 Page 33 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
767
Site Longitude Latitude VE ± 1 σ VN ± 1 σ ρ ARD0 -2.10 42.25 -0.74 0.32 0.56 0.32 -0.005 ARG0 -0.53 43.54 -0.21 0.32 -0.07 0.32 -0.006 ASCO 1.86 42.72 -0.91 0.32 -0.30 0.32 -0.005 ASPI 0.33 42.94 -0.34 0.30 -0.19 0.30 -0.003 ATC0 -1.19 43.33 -0.35 0.31 0.43 0.32 -0.002 AYER -0.72 42.29 0.06 0.35 0.10 0.35 -0.004 AYG0 -2.05 42.66 0.30 0.32 -0.25 0.32 -0.003 BEL0 -1.62 43.05 -0.30 0.31 0.57 0.32 0.000 BEN0 0.47 42.11 -0.46 0.30 -0.01 0.30 -0.007 BGRN 0.13 43.06 -0.82 0.33 -0.18 0.34 -0.003 BGS0 0.10 42.91 -0.50 0.33 -0.10 0.32 -0.012 BIZ0 -0.32 43.31 0.06 0.34 0.41 0.33 -0.009 BOHO -1.01 43.10 -0.15 0.34 -0.09 0.34 -0.001 BOR0 -0.40 42.56 -0.22 0.31 -0.31 0.32 -0.001 BOUI 2.44 43.00 -0.30 0.31 -0.14 0.31 -0.010 CAAR 0.01 42.42 0.19 0.34 -0.06 0.34 -0.003 CAR0 -1.62 42.33 -0.38 0.31 -0.32 0.32 0.000 COUP 1.07 43.14 -0.81 0.32 -0.11 0.32 0.009 DUH0 -0.32 43.71 0.14 0.32 -0.13 0.32 -0.002 EMBU -0.72 42.63 -0.85 0.39 -0.34 0.40 0.024 ETXA -1.78 42.80 -0.58 0.34 0.08 0.35 -0.002 FUE0 -0.88 42.36 -0.39 0.32 0.16 0.32 -0.006 ISSA -0.79 43.02 0.20 0.34 0.18 0.35 -0.004 JAUT -0.34 43.03 -0.88 0.35 0.48 0.36 -0.007 LHRZ 1.39 42.81 -0.06 0.30 -0.42 0.30 -0.008 LIE0 -1.32 42.63 0.02 0.31 0.11 0.32 -0.001 MARC 0.16 43.53 -0.28 0.35 -0.13 0.37 -0.026 MCA0 3.02 43.60 -0.64 0.29 0.25 0.30 -0.006 MGA0 1.64 42.94 -0.85 0.30 0.16 0.30 0.008 MRTE 0.75 42.92 -0.67 0.32 0.26 0.33 -0.007 NEN0 0.70 43.36 -0.41 0.32 0.19 0.33 -0.002 PANT -0.24 42.76 -0.01 0.34 -0.32 0.35 -0.004 PER0 -0.02 42.05 0.11 0.32 0.15 0.32 -0.003 PLAB 0.95 42.71 0.17 0.33 -0.13 0.32 -0.016 POM0 -0.83 43.63 0.21 0.32 -0.01 0.32 -0.001 PPY0 1.71 42.64 1.05 0.33 0.42 0.30 -0.016 PYG0 0.46 42.77 -2.92 1.09 1.55 1.11 -0.055 QUI0 2.15 42.87 -0.22 0.31 0.04 0.30 -0.019 RGS0 2.63 43.16 0.07 0.29 -0.29 0.29 -0.006 RIEB 1.34 43.06 -0.16 0.30 -0.15 0.30 -0.011 RON0 -0.98 42.74 -0.09 0.32 0.21 0.32 -0.002 RPE0 2.53 43.42 -0.70 0.31 -0.34 0.31 -0.017 SEIX 1.13 42.87 -0.13 0.33 -0.29 0.32 -0.014 SEPE -0.41 42.25 0.58 0.37 -0.29 0.35 -0.018 SERR 0.71 42.56 0.05 0.32 -0.53 0.32 -0.011 SOMP -0.55 42.80 -0.69 0.34 -0.20 0.34 -0.001 TRMO 0.10 42.73 -0.69 0.31 -0.01 0.31 -0.001
Rigo et al., 2015 Page 34 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
TRON 0.31 42.31 -0.45 0.32 -0.59 0.32 -0.014 UNC0 -1.19 42.33 -0.43 0.33 0.00 0.33 -0.005 UNZU -1.63 42.66 0.21 0.36 -0.40 0.36 -0.008 VCGE 2.82 43.04 -0.11 0.31 -0.42 0.31 0.000 VGR0 -2.53 42.31 -0.61 0.31 0.12 0.31 0.000 0002 2.10 42.23 -0.18 0.32 -0.19 0.32 0.012 0003 2.17 42.34 -0.43 0.29 0.05 0.29 0.004 0004 2.32 42.32 -0.56 0.32 -0.04 0.32 0.011 0005 2.26 42.23 -0.35 0.31 0.10 0.31 0.008 0007 2.52 42.17 0.02 0.31 0.03 0.31 0.006 0008 2.53 42.26 -0.01 0.31 -0.16 0.31 0.007 0009 2.33 41.99 -0.13 0.31 -0.12 0.31 0.009 0010 2.59 42.08 0.08 0.31 0.18 0.31 0.005 0011 2.80 42.19 0.12 0.31 -0.15 0.31 0.005 0013 2.82 42.40 -0.15 0.33 0.27 0.32 0.024 0014 2.27 42.12 0.06 0.31 -0.05 0.31 0.007 0102 2.29 42.54 -0.06 0.30 0.23 0.30 0.003 0103 2.50 42.38 -0.63 0.29 0.40 0.29 0.008 0104 2.45 42.73 -0.37 0.32 -0.09 0.32 0.012 0105 2.52 42.80 -0.20 0.32 -0.26 0.32 0.008 0106 2.41 42.58 -0.04 0.33 0.15 0.33 0.007 0107 2.58 42.64 -0.19 0.31 -0.19 0.31 0.009 0108 2.64 42.48 -0.16 0.33 0.60 0.34 0.009 0109 2.68 42.73 -0.77 0.30 0.25 0.31 0.002 0110 2.76 42.88 -0.19 0.32 -0.07 0.32 0.012 0111 2.72 42.62 -0.66 0.32 -0.08 0.32 0.013 0112 2.87 42.51 -0.21 0.30 0.55 0.31 0.001 BELL 1.40 41.60 -0.33 0.33 -0.03 0.33 0.000 CAGL 8.97 39.14 -0.37 0.32 0.03 0.32 0.011 CANT -3.80 43.47 -0.93 0.37 0.22 0.37 0.001 CREU 3.32 42.32 -0.45 0.32 -0.07 0.32 0.002 EBRE 0.49 40.82 -0.10 0.28 -0.34 0.28 0.001 ESCO 0.98 42.69 -0.98 0.37 0.26 0.37 0.001 FJCP 2.80 43.05 -0.46 0.44 0.44 0.44 0.001 GRAS 6.92 43.76 -0.15 0.15 0.22 0.15 0.067 LACA 2.73 43.68 -0.26 0.46 0.57 0.46 0.002 LLIV 1.97 42.48 -0.40 0.36 -0.05 0.36 0.001 MADR -4.25 40.43 -0.01 0.17 -0.41 0.17 0.009 MARS 5.35 43.28 -0.65 0.32 0.11 0.32 0.003 MTPL 3.87 43.64 0.05 0.32 -0.02 0.32 0.002 POTS 13.07 52.38 -0.38 0.04 -0.15 0.04 0.354 TLSE 1.48 43.56 -0.16 0.36 0.11 0.36 0.001 VILL -3.95 40.44 -0.13 0.18 0.31 0.18 0.011 WETT 12.88 49.14 1.35 0.77 1.35 0.74 0.075 WSRT 6.60 52.92 -0.07 0.32 0.33 0.32 0.000 ZIMM 7.47 46.88 0.01 0.20 0.19 0.20 0.009 Table 2: Coordinates and velocities (mm/yr) with 1σ uncertainties of the 74 GPS pyrenean 768
sites of the ResPyr and PotSis networks plus the 19 permanent GPS sites used for the 769
Rigo et al., 2015 Page 35 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
transformation of the velocities into the Eurasian reference frame. VE: east component; VN: 770
north component; ρ: correlation coefficient between east and north components. 771
772
Rigo et al., 2015 Page 36 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
773
S1 S2 S3 Zone Nb f.m. Azimuth Plunge Azimuth Plunge Azimuth Plunge Total 195 86 82 314 5 223 45 East 71 351 17 128 67 256 14 West 124 217 60 110 10 15 28
1 47 15 27 125 33 255 44 2 7 306 37 166 45 53 21 3 15 307 66 178 15 83 17 4 2 267 21 113 65 1 10 5 69 294 16 119 73 24 1 6 35 213 8 122 8 346 78 7 13 229 34 110 35 349 36 8 7 225 63 77 23 342 12
Table 3: Principal stress axis S1 (σ1, maximum), S2 (σ2) and S3 (σ3, minimum) resulting 774
from FSA inversion. Nb f.m.: number of focal mechanisms used in the inversion. 775
776
Rigo et al., 2015 Page 37 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
Zone 1 2 3 (°) Reduct. F.
1 (11)
a (47) -0.78 0.89 143 b (1) -0.74 0.91 144 c (46) d
-0.06 -17.59 ± 9.75
0.004 -2.13 ± 6.28
107 89 ± 29
0.75
2 (9)
a (7) 0.01 0.28 49 b (1) -0.002 0.23 36 c (6) d
-0.024 -1.63 ± 6.50
0.09 25.25 ± 18.31
80 165 ± 23
0.85
3 (17)
a (15) 0.02 0.04 73 b (5) 0.02 0.04 87 c (10) d
-0.004 -3.90 ± 4.95
0.005 7.39 ± 5.93
48 136 ± 54
0.29
4 (5)
a (2) -0.01 0.005 177 b (0) - - - c (2) d
-0.01 -23.28 ± 24.05
0.005 25.26 ± 25.28
177 73 ± 23
0.89
5 (16)
a (69) -1.88 2.31 127 b (6) -2.00 2.34 127 c (63) d
-0.04 -8.58± 9.83
0.14 29.43 ± 13.76
21 143 ± 13
1.06
6 (20)
a (35) -4.89 6.77 90 b (4) -6.50 9.01 90 c (31) d
-0.01 -9.22 ± 34.07
0.01 48. 40 ± 58.68
62 19 ± 47
0.81
7 (15)
a (13) -0.0002 0.0004 15.8 b (0) - - - c (13) d
-0.0002 -
0.0004 -
15.8 -
8 (7)
a (7) -0.12 0.61 7 b (2) -0.09 0.51 6 c (5) d
-0.03 -12.91 ± 15.91
0.10 21.27 ± 20.53
8 142 ± 58
1.18
all (20)
a (195) -0.22 0.36 109 b (19) -0.25 0.39 109 c (176) -0.003 0.01 30
d e
-0.86 ± 1.00 0.77 ± 0.56
2.21 ± 1.69 3.85 ± 1.79
169 ± 20 21 ± 22
0.52 0.06
east (17)
a (71) -0.02 0.07 142 b (7) -0.02 0.08 145 c (64) -0.006 0.006 78
d e
-0.88 ± 1.38 -0.06 ± 3.92
0.62 ± 1.96 3.27 ± 2.84
43 ± 72 164 ±76
0.39 0.42
west (20)
a (124) -0.46 0.69 106 b (12) -0.55 0.79 106 c (112) -0.008 0.03 20
d e
-1.37 ± 1.47 2.44 ± 1.61
3.76 ± 1.94 4.46 ± 1.70
155 ±14 44 ± 81
0.54 0.25
Rigo et al., 2015 Page 38 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
Table 4: Horizontal components of the strain-rate tensors. The vertical dimension of the 777
seismogenic volume V is indicated between brackets and below at each zone. 1: amplitude of 778
the first axis in nstrain/yr (negative is compression); 2: amplitude of the second axis in 779
nstrain/yr (positive is extension); 3: azimuth of the second axis; Reduct. f.: reduction function 780
value; a: all focal mechanisms; b: focal mechanisms with M ≥ 4.5 (HM events); c: focal 781
mechanisms with M < 4.5 (LM events); d: GPS with ± 2σ, this study; e: GPS with ± 782
2σ, Asensio et al. (2012). In brackets after a, b, c the number of focal mechanisms used. 783
784
Rigo et al., 2015 Page 39 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
APPENDIX 785
786
Parameters of the 194 focal mechanisms. bul**: bulletins from OMP/SGC, year 19**; 787
SGC**: bulletins from SGC, year 19** (from 1984 to1995, published by Servei Geològic de 788
Catalunya (SGC); 1995-2005, published by Institut Cartogràfic de Catalunya (ICC); 2006-789
2011, published by Institut Geològic de Catalunya (IGC); HR71: Hoang Trong & Rouland 790
1971; GMa80: Gagnepain et al. 1980; Ga82: Gallart et al. 1982; GDa84: Gallart et al. 1984; 791
GDa85: Gallart et al. 1985; G87: Gagnepain-Beyneix 1987; OG87: Olivera & Gallart 1987; 792
LDG88: Cansi et al. 1988; NSD90: Nicolas et al. 1990; Ga92: Grandjean 1992 and Grandjean 793
et al. 1994; Gui92: Guilbert 1992; Oa92: Olivera et al. 1992; Da93: Delouis et al. 1993; Ra97: 794
Rigo et al. 1997; Pa99: Pauchet et al. 1999; Du04: Dubos et al. 2004; Ru06: Ruiz et al. 2006b; 795
Syl08: Sylvander et al. 2008; Che11: Chevrot et al. 2011. Depth is in km (U: unknown). 796
797
Date Longitude Latitude Depth Magnitude Ml Strike Dip Rake Reference 19670813 -0.76 43.09 U 5.7 41.0 63.0 -19.2 HR71 19690311 0.70 42.70 5 4.0 2.0 72.0 -99.3 NSD90 19700314 1.70 42.52 5 4.0 270.0 79.0 108.3 NSD90 19700314 1.68 42.52 5 4.7 28.0 59.0 85.9 NSD90 19700316 1.71 42.54 5 4.6 290.0 82.0 134.7 NSD90 19700405 1.66 42.47 5 4.9 216.0 55.0 -85.4 NSD90 19770912 -0.99 43.06 7 4.5 267.0 75.0 126.9 NSD90 197811 -0.36 43.06 11 2.5 317.0 16.0 92.9 GMa80 197811 -0.48 43.06 3 1.8 12.0 20.0 -163.0 GMa80 197811 -0.50 43.07 2 1.7 12.0 20.0 -163.0 GMa80 197811 -0.52 43.09 1 U 38.0 78.0 -26.8 GMa80 197811 -0.57 43.06 5 U 74.0 80.0 90.2 GMa80 197811 -0.62 43.06 9 U 141.0 63.0 162.8 GMa80 197811 -0.65 43.10 10 1.7 91.0 70.0 -40.0 GMa80 197811 -0.66 43.09 9 U 350.0 85.0 149.0 GMa80 197811 -0.74 43.09 3 2.8 80.0 54.0 168.2 GMa80 197811 -0.75 43.06 3 2.0 78.0 45.0 167.4 GMa80 197811 -0.75 43.06 1 U 25.0 49.0 87.4 GMa80 197811 -0.75 43.06 1 U 62.0 60.0 89.5 GMa80 197811 -0.75 43.06 1 U 7.0 40.0 93.1 GMa80 197811 -0.87 43.07 5 U 84.0 76.0 90.0 GMa80 19781103 2.70 42.84 8 4.3 286.0 52.0 48.7 Ga92 19790928 0.54 43.15 16 4.1 276.0 72.0 173.6 NSD90 19800229 -0.39 43.17 6 5.7 80.0 50.0 0.0 NSD90 19800302 -0.37 43.07 6 3.3 254.0 75.0 -145.7 G87 19800303 -0.36 43.07 6 3.9 160.0 48.0 -20.4 G87 19800303 -0.38 43.08 5 3.2 50.0 22.0 -118.2 G87 19800303 -0.40 43.06 5 3.8 258.0 82.0 -153.3 G87 19800303 -0.42 43.07 6 3.3 188.0 52.0 -12.9 G87 19800304 -0.38 43.06 5 3.7 154.0 76.0 180.0 G87 19800304 -0.37 43.07 5 3.1 22.0 10.0 0.0 G87
Rigo et al., 2015 Page 40 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
19800305 -0.40 43.07 4 3.6 266.0 73.0 -94.5 G87 19800307 -0.37 43.06 5 3.0 129.0 40.0 -106.4 G87 19800307 -0.37 43.07 4 3.3 139.0 52.0 -56.6 G87 19810423 1.95 42.90 4 4.5 176.0 70.0 174.2 Ga82 19810719 0.07 43.09 6 4.6 132.0 40.0 39.2 NSD90 19810928 -0.03 43.17 13 4.3 27.0 75.0 -164.9 NSD90 19820106 -0.98 43.21 15 5.0 210.0 81.0 -59.7 NSD90 19820522 -1.72 42.80 3 4.7 80.0 48.0 -101.6 OG87 19820522 -1.69 42.81 1 4.4 70.0 60.0 -124.5 OG87 19820522 -1.68 42.77 2 3.8 70.0 76.0 -134.1 OG87 19820622 -1.69 42.80 7 4.7 71.0 66.0 -128.6 OG87 19820825 -0.28 43.07 8 4.3 290.0 80.0 -39.0 NSD90 19821023 -0.42 43.09 8 1.7 277.0 73.0 -84.6 GDa85 19821024 -0.61 43.08 8 2.1 63.0 82.0 54.4 GDa85 19821030 -0.37 43.07 5 2.0 340.0 80.0 -53.1 GDa85 19821031 -0.51 42.92 4 2.1 290.0 80.0 -26.7 GDa85 19821101 -0.52 42.92 2 1.9 34.0 75.0 -143.1 GDa85 19821101 -0.82 43.08 13 1.9 306.0 80.0 -122.9 GDa85 19821103 -0.75 43.15 15 1.5 348.0 65.0 90.4 GDa85 19821105 -0.97 43.14 16 2.1 171.0 83.0 52.4 GDa85 19821105 -1.04 43.09 3 1.0 98.0 50.0 -99.1 GDa85 19821105 -0.82 43.15 19 1.6 21.0 65.0 -132.2 GDa85 19821111 -0.34 43.05 4 2.1 343.0 75.0 -28.5 GDa85 19821115 -0.12 43.07 16 2.2 289.0 60.0 -79.1 GDa85 19821115 -0.60 43.10 5 1.6 205.0 80.0 98.9 GDa85 19821122 -1.22 43.17 4 1.8 166.0 50.0 113.4 GDa85 19821203 -0.45 43.11 14 1.8 124.0 53.0 -71.6 GDa85 19821215 -0.24 43.10 15 1.7 121.0 70.0 -94.2 GDa85 19821224 0.50 42.55 5 4.0 126.0 73.0 51.2 NSD90 19830606 -0.42 43.11 7 4.0 221.0 29.0 61.3 Da93 19830720 2.23 42.43 4 3.9 216.0 43.0 110.4 GDa84 19840223 0.17 43.02 12 4.5 105.0 68.0 144.4 NSD90 19840225 -1.17 43.21 11 4.7 309.0 86.0 0.0 NSD90 19840926 2.17 42.15 5 4.4 344.0 75.0 180.0 SGC84 19850208 0.22 43.04 10 4.1 70.0 20.0 90.0 LDG88 19850930 -0.44 43.03 6 3.8 40.0 40.0 118.2 LDG88 19851002 1.38 42.93 13 3.8 310.0 20.0 45.8 LDG88 19860419 -0.51 43.09 10 3.9 30.0 77.0 90.0 LDG88 19861203 -0.67 43.16 8 3.6 240.0 50.0 -150.5 LDG88 19870303 -0.65 43.14 2 3.9 222.0 74.0 37.6 LDG88 19870413 0.16 43.05 13 3.6 270.0 85.0 93.0 LDG88 19870526 -0.38 43.13 4 3.8 35.0 45.0 7.1 LDG88 19870626 -0.41 43.08 3 3.9 280.0 5.0 -132.9 LDG88 19871105 -0.76 42.91 3 3.9 14.0 65.0 -78.9 LDG88 19871111 -0.18 43.07 8 4.1 250.0 10.0 -30.4 LDG88 19871112 -0.19 43.06 10 3.8 250.0 10.0 -30.4 LDG88 19880220 1.43 42.36 16 3.8 312.0 51.0 -12.6 LDG88 19880316 2.20 42.34 8 3.8 192.0 85.0 21.8 LDG88 19890106 0.17 43.04 10 4.4 276.0 75.0 -143.1 SGC89 19900426 -1.18 43.11 12 2.4 354.0 73.0 88.2 Ga92 19900530 -0.55 43.10 7 2.4 13.0 86.0 153.4 Ga92 19900602 -1.83 43.21 9 3.0 295.0 52.0 -90.0 Ga92 19900612 -0.31 43.10 6 4.2 92.0 46.0 104.2 Ga92 19900616 -1.03 43.10 20 1.5 72.0 85.0 89.5 Ga92 19900628 -1.31 43.29 15 1.5 74.0 28.0 -90.0 Ga92 19900705 -1.39 43.06 11 1.5 105.0 80.0 90.0 Ga92 19900720 -1.56 43.12 12 2.1 60.0 68.0 90.0 Ga92 19900722 -0.38 43.08 7 3.6 90.0 90.0 90.0 Ga92 19900722 -0.39 43.09 7 3.1 274.0 70.0 -100.7 Ga92 19900724 -0.56 43.06 3 3.6 302.0 10.0 -109.7 Ga92 19900805 1.09 42.27 U 3.7 357.0 74.0 -10.8 bul90 19910819 0.68 42.66 1 3.0 64.0 49.0 -122.4 Gui91 19911202 0.90 42.73 7 2.9 292.0 80.0 -134.6 Gui91 19920319 2.06 42.23 2 4.2 262.0 51.0 155.5 bul92 19920725 1.22 42.79 12 3.1 343.0 39.0 -125.0 bul92 19920824 2.32 42.27 u 2.8 150.0 46.0 -43.1 bul92 19921002 1.86 42.43 4 3.2 193.0 35.0 152.6 bul92
Rigo et al., 2015 Page 41 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
19921215 1.06 42.65 9 3.1 49.0 11.0 123.5 bul92 19960218 2.54 42.80 8 5.2 96.0 84.0 -45.2 Ra97 19960218 2.54 42.79 11 3.2 53.0 43.0 24.0 Ra97 19960218 2.52 42.77 10 3.4 116.0 69.0 101.7 Ra97 19960219 2.53 42.77 7 3.3 287.0 80.0 174.3 Ra97 19960219 2.53 42.77 8 3.1 259.0 66.0 38.6 Pa99 19960219 2.54 42.79 10 3.8 103.0 53.0 153.1 Pa99 19960219 2.54 42.79 9 3.4 257.0 62.0 -105.8 Pa99 19960219 2.55 42.79 10 3.8 66.0 66.0 7.3 Pa99 19960219 2.55 42.79 9 3.7 80.0 26.0 90.0 Pa99 19960219 2.55 42.79 10 3.7 320.0 77.0 88.0 Pa99 19960219 2.54 42.78 7 3.4 198.0 89.0 -63.4 Pa99 19960220 2.55 42.79 9 3.6 323.0 23.0 -112.3 Pa99 19960220 2.53 42.79 7 3.3 48.0 61.0 -42.6 Pa99 19960220 2.54 42.78 9 3.4 279.0 34.0 147.3 Pa99 19960220 2.55 42.79 9 3.3 359.0 29.0 -82.1 Pa99 19960220 2.53 42.78 10 3.6 279.0 51.0 84.3 Pa99 19960220 2.53 42.80 9 3.7 276.0 30.0 -162.8 Pa99 19960220 2.51 42.78 9 3.1 306.0 44.0 71.5 Pa99 19960220 2.53 42.78 7 3.2 354.0 55.0 -23.5 Pa99 19960220 2.53 42.79 8 3.4 252.0 56.0 64.9 Pa99 19960220 2.52 42.77 11 3.3 185.0 86.0 0.0 Pa99 19960220 2.53 42.79 8 3.3 344.0 46.0 154.9 Pa99 19960220 2.52 42.78 8 2.8 30.0 69.0 -36.8 Pa99 19960220 2.53 42.79 9 3.1 40.0 74.0 -37.6 Pa99 19960220 2.54 42.79 9 2.8 83.0 69.0 -5.6 Pa99 19960220 2.55 42.78 8 3.3 316.0 79.0 -74.8 Pa99 19960220 2.54 42.79 8 3.2 273.0 48.0 -75.6 Pa99 19960220 2.52 42.78 9 3.2 140.0 50.0 -164.7 Pa99 19960220 2.52 42.78 9 2.8 140.0 50.0 -164.7 Pa99 19960220 2.54 42.79 8 2.9 15.0 47.0 -56.6 Pa99 19960221 2.55 42.79 8 3.2 28.0 51.0 -91.3 Pa99 19960221 2.54 42.79 8 3.1 338.0 52.0 -88.2 Pa99 19960221 2.53 42.78 8 3.6 317.0 43.0 -99.6 Pa99 19960221 2.54 42.79 8 3.4 352.0 35.0 -86.7 Pa99 19960221 2.53 42.79 8 3.1 306.0 44.0 87.8 Pa99 19960221 2.54 42.79 8 3.0 50.0 61.0 -20.0 Pa99 19960221 2.53 42.79 8 3.3 68.0 70.0 8.7 Pa99 19960221 2.54 42.79 8 3.4 304.0 47.0 139.8 Pa99 19960221 2.54 42.80 8 3.4 249.0 52.0 161.0 Pa99 19960221 2.52 42.78 10 3.6 3.0 21.0 -35.8 Pa99 19960222 2.54 42.79 9 3.5 14.0 61.0 10.2 Pa99 19960222 2.53 42.79 8 3.2 360.0 10.0 -71.3 Pa99 19960223 2.52 42.79 9 3.6 300.0 46.0 65.7 Pa99 19970807 2.78 42.57 6 3.2 88.0 41.0 76.2 SGC97 19990717 -1.83 42.80 6 2.5 330.0 65.0 -139.3 Ru06 19991004 0.64 42.87 17 4.8 108.0 39.0 -108.3 SGC99 20001023 -1.15 43.13 13 1.9 75.0 85.0 31.0 Ru06 20001202 -1.17 43.09 9 1.9 165.0 40.0 -10.4 Ru06 20001210 -1.56 43.10 8 1.8 70.0 65.0 -90.0 Ru06 20010118 -1.06 43.13 16 2.6 95.0 85.0 141.3 Ru06 20010201 -1.45 43.13 18 2.9 40.0 60.0 160.6 Ru06 20010203 -1.38 43.02 9 2.0 65.0 90.0 0.0 Ru06 20010210 -1.65 43.10 11 1.5 105.0 45.0 -29.7 Ru06 20010602 -1.74 42.87 1 2.3 110.0 70.0 -8.7 Ru06 20010602 -1.74 42.87 1 2.1 110.0 70.0 -8.7 Ru06 20011112 0.07 43.00 12 1.9 96.0 87.0 -116.5 Du04 20020105 -0.38 43.07 11 1.5 201.0 34.0 162.1 Du04 20020105 -0.38 43.08 8 1.9 26.0 48.0 3.0 Du04 20020113 -0.08 43.00 8 U 160.0 73.0 61.2 Du04 20020319 -0.23 43.08 15 U 197.0 43.0 142.8 Du04 20020322 -0.37 43.06 4 2.7 298.0 64.0 -118.4 Du04 20020410 -0.10 43.05 13 1.5 208.0 53.0 163.7 Du04 20020418 -0.19 43.01 8 1.8 101.0 74.0 105.4 Du04 20020422 -0.10 43.05 14 2.3 68.0 71.0 -9.1 Du04 20020505 -0.23 43.07 6 U 308.0 90.0 90.0 Du04 20020512 -0.12 43.04 12 U 351.0 81.0 -134.6 Du04
Rigo et al., 2015 Page 42 G. J. Int., 201, 947-964, 10.1093/gji/ggv052
20020515 -0.08 43.07 15 1.1 249.0 78.0 -165.9 Du04 20020516 0.17 43.02 11 1.4 63.0 47.0 -100.4 Du04 20020516 -0.15 42.92 9 4.5 120.0 80.0 -105.0 Che11 20020516 -0.15 42.92 8 4.2 130.0 70.0 -89.7 Che11 20020519 0.14 42.98 11 3.7 121.0 75.0 -121.4 Du04 20020905 -0.40 43.08 9 4.0 130.0 5.0 -69.1 Che11 20021211 -0.36 43.09 8 4.2 130.0 45.0 -64.5 Che11 20021212 -0.27 43.08 9 4.6 175.0 30.0 -25.0 Che11 20030121 -0.33 43.06 9 4.3 120.0 45.0 -74.8 Che11 20030226 2.21 42.29 9 4.4 160.0 35.0 -70.0 Che11 20040601 2.22 42.29 9 4.1 155.0 35.0 -44.7 Che11 20040718 1.02 42.89 9 3.9 90.0 55.0 -159.7 Che11 20040921 2.17 42.34 8 4.8 120.0 65.0 -95.1 Che11 20061117 0.01 43.03 10 5.1 105.0 35.0 -80.1 Che11 20061118 0.00 43.00 6 3.3 133.0 24.0 -61.2 Syl08 20061118 0.00 43.00 5 3.0 130.0 33.0 -66.9 Syl08 20061119 -0.01 43.01 6 2.8 242.0 66.0 -75.2 Syl08 20061119 -0.02 43.01 8 2.5 329.0 56.0 -63.3 Syl08 20061119 -0.01 43.01 7 3.3 239.0 59.0 -74.1 Syl08 20061120 -0.01 43.00 6 2.9 104.0 62.0 -67.1 Syl08 20061122 -0.01 43.02 8 2.8 233.0 55.0 -90.0 Syl08 20061202 0.00 43.01 6 2.9 287.0 30.0 -90.0 Syl08 20061216 -0.11 43.02 9 4.0 105.0 35.0 -119.8 Che11 20071115 0.00 43.02 8 4.0 130.0 60.0 -60.1 Che11 20080503 0.22 42.96 12 3.8 145.0 70.0 -49.8 Che11 20080518 -0.18 43.03 10 4.2 100.0 35.0 -75.1 Che11 20080716 -0.41 43.08 16 4.1 155.0 80.0 -5.7 Che11 20080918 -0.33 43.04 9 3.8 115.0 55.0 -95.2 Che11 20100401 0.32 42.97 13 4.3 110.0 25.0 -90.0 Che11 798
799
−2˚00' −1˚30' −1˚00' −0˚30' 0˚00' 0˚30' 1˚00' 1˚30' 2˚00' 2˚30' 3˚00'
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Auch
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Olot
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Pau
Perpignan
Prades
Quillan
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Tarbes
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AndorraMaladeta
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SPFT
44˚00'
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DUH0
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ARG0
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RPE0
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FJCP VCGEBOUI
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CREU00130103
00040003
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001100050002
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LLIV
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RIEB
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gnè es−de−B.
Bayonne
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Jaca
o
Olot
Pau
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AndorraMala t
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Pamplona
2.0 ≤ Ml < 3.03.0 ≤ Ml < 4.04.0 ≤ Ml < 5.0
Ml ≥ 5.0
Rigo et al, 2014 - Revised - GJInt
A
B
Figure 1: Seismotectonic maps of Pyrenees on the shaded relief. In black the main faults of the range: NPFT: North Pyrenean Frontal thrust, NPF: North Pyrenean Fault, SPFT: South Pyrenean Frontal Thrust. Grey area: Palaeozoic domain. In red the faults considered as active at present time from Lacan & Ortuño (2012). A) Seismicity for the period 1989-2011. B) GPS points of the PotSis and ResPyr networks for which velocities have been determined after the measurements done in 2008 and 2010.
−2˚00' −1˚30' −1˚00' −0˚30' 0˚00' 0˚30' 1˚00' 1˚30' 2˚00' 2˚30' 3˚00'
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Bagnères−de−B.
Bayonne
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Jaca
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t
Pamplona
Pau
Perpignan
Quillan
Pa −de−F.
Tarbes
Toulouse
AndorraMaladetta
NPFT
NPF
SPFT
44˚00'
Figure 2: GPS horizontal velocity field into the Eurasian reference frame (Table 2) with their 95% confi-dence ellipses superimposed on the shaded topographic map of Pyrenees. Arrows with letters from AA’ to FF’ locate the profiles of Fig.3.
2 mm/yr
0 50km
A
A’
B
B’
C
C’
D
D’
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F F’
Rigo et al, 2014 - Revised - GJInt
−1 5
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04
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UI000
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S NProfile AA’0
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T
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/yr
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/yr
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/yr
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/yr
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/yr
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/yr
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km
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longitude
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m m
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0.5 ± 1.1 nstrain/yr 0.0 ± 1.7 nstrain/yr
0.7 ± 1.3 nstrain/yr 0.8 ± 1.2 nstrain/yr
2.0 ± 1.8 nstrain/yr -0.2 ± 1.2 nstrain/yr
Rigo et al, 2014 - Revised - GJInt
Figure 3: N-S (AA’ to EE’) and E-W (FF’) profiles located in fig. 2 with the projected GPS velocities and their 1σ uncertainties. For the N-S profiles, the half-width of projection is 45 km and all the GPS velocities are projected on the E-W profile. At each profile, the corresponding topographic envelope and deformation rate are done.
−1 5
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O
PPY0
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Z
RIE
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SEI X
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S NProfile CC’010002000
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−2˚00' −1˚30' −1˚00' −0˚30' 0˚00' 0˚30' 1˚00' 1˚30' 2˚00' 2˚30' 3˚00'
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Bagn s−de−B.
Bayonn
n
Foix
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Irun
a
u
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amplona
u
Perpignan
P de
Quillan
St−P ul de−F.
Tarbes
Toulouse
ndorraM e ta
NPFT
NPF
SPFT
44˚00'
0 50km
Figure 4: Focal mechanisms over the period 1967-2011 (Table Appendix A) on the shaded topographic map of Pyrenees. The size of the focal mechanisms is proportional to the magnitude. The 1989-2011 seismicity and the faults are reported in grey.
Rigo et al, 2014 - Revised - GJInt
−2˚00' −1˚30' −1˚00' −0˚30' 0˚00' 0˚30' 1˚00' 1˚30' 2˚00' 2˚30' 3˚00'
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agnè es−de−B.
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Olot
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Perpignan
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Quillan
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Tarbes
Toulouse
Andorra
0 50km
Maladetta
NPFT
NPF
SPFT
44˚00'
−2˚00' −1˚30' −1˚00' −0˚30' 0˚00' 0˚30'
43˚00'
u
gnères−de−B.
Lou des
Pamplona
Tarbes43˚15'
Extension Strike-slip Compression
Figure 5: Map of ‘r’ factor on the shaded topographic map of Pyrenees (top), inset locates the close-up on the western part (bottom).
Rigo et al, 2014 - Revised - GJInt
{{ {
σ2
σ1
σ3
σ3
σ2
σ1
σ2σ1
σ3
−2˚00' −1˚30' −1˚00' −0˚30' 0˚00' 0˚30' 1˚00' 1˚30' 2˚00' 2˚30' 3˚00'
42˚00'
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43˚00'
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0 50km
Rigo et al, 2014 - Revised - GJInt
Figure 6: Stress tensors from FSA inversion. Colours correspond to the stress axis and their uncertain-ties: red σ1; green σ2 and blue σ3.The active faults from Lacan & Ortuño (2012) are indicated in red.
7
8
2
13
4
5
6
σ1
σ2
σ3
σ2
σ3σ1
σ1
σ2
σ3
σ1 σ2
σ3
σ1
σ2σ3
σ1σ2
σ3
σ1σ2
σ3
σ1σ2
σ3
2˚00' 1˚30' 1˚00' 0˚30' 0˚00' 0˚30' 1˚00' 1˚30' 2˚00' 2˚30' 3˚00'
42˚00'
42˚30'
43˚00'
43˚30'
Auch
Bagnères−de−B.
Bayonn
Carcassonne
Foix
GironaHuesca
Irun
Jaca
Lourdes
Olot
Pam lona
Pau
Perpignan
rad s
Quillan
St−Paul−de−F.
Tarbes
Toulouse
AndorraMaladetta
NPFT
NPF
SPFT
44˚00'
0 50km
Rigo et al, 2014 - Revised - GJInt
Figure 7: Seismic strain-rate tensors (Table 5). a: all events; b: HM events (M ≥ 4.5); c: LM events M < 4.5). In black, tensors are caluclated without magnitude in elementary volumes. Amplitudes of strain-rates are given by the coloured scale.
1
2
3
4
5
67
8
abc
a bc
a bc
a c
cb
a
a b
c
a
c
a b c
nstr yr-1
0.0001 0.01 0.1 1 10 1000.001
ba
c
Westa
bc
East
ba
c
All
−3˚ −2˚ −1˚ 0˚ 1˚ 2˚ 3˚ 4˚41˚
42˚
43˚
44˚
BIAZ
UNMEORON
ALSA
LOSA
PAMP
SANG
FUEN
EPSH
ASIN
CREULLIV
MSGTESCO
BARY
SORI
CASS
SBAR
2 nanostrain/yr
1 mm/yr / 95% confidence interval
Rigo et al, 2014 - Revised - GJInt
TAFA
MATA
GARR
FJCP
TUDE
LNDA
TLSE
BELL
AVEL
ZARA
SCOA
−3˚ −2˚ −1˚ 0˚ 1˚ 2˚ 3˚ 4˚
41˚
42˚
43˚
44˚
2 nanostrain/yr
1 mm/yr / 95% confidence interval
MTDMAUCH
PERP
Figure 8: Geodetic strain-rate tensors (black, Table 4) for the eastern and western parts delimited by the red contour, and for the all Pyrenees in the inset. In red (extension axis) and blue (compression axis) are the 1000 tensors obtained by varying randomly the GPS velocities in their uncertainties (see text for details). Top: this study; bottom: from Asensio et al. (2012), the GPS velocities shown here being com-puted in the same European reference frame as our study.