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Preliminary interpretation of determined movements of KSIA and KSI1 GPS stations in context of collected information about Swiebodzice trough tectonics.

1. introduction

The registration of geodynamic signals in Geodynamic Laboratory in Ksiaz (LG) started in 1974. Since that time strong signals were irregularly occuring, which changed positions of equilibrium of the pendulums. These effects reminded us the tilting of foundation, but on account of constitution of quartz pendulums, it was difficult to separate these signals from the instrumental drift (Chojnicki, Blum, 1996). Installation in 2003 in LG laboratory of two long water-tube tiltmeters (WT) radically changed this situation. The new instruments have sensitivity of three orders higher than the sensitivity of the pendulums and the possibility of reducing the instrumental drift (Kaczorowski, 2006). Shortly after beginning of measurements it turned out that the irregular signals of strong variations of water level in hydrodynamic system of WT correspond to tilting of foundation of 300 m.a.s. magnitude. All the effects except tectonic activity were practically excluded as the source of these signals. Because the structure of Ksiaz massif consists of non-absorbent rocks or, if they are even partly saturated rocks--their level of saturation is very stable in time, such strong hydrological effects are not possible. Similarly loading effect of air pressure variations were excluded because of magnitudes and time of duration of the phenomena. Also activity of mines was excluded on account of too long distance between Ksiaz laboratory and the mines (>50 km). The phenomenon of gravity spilled of Ksiaz massif also does not explain the observed effects, which show clear relaxation phase. Collected information on the phenomenon, as well as increasing of length of data series confirmed that irregularly occuring periodic non-tidal signals registered by WT are of tectonic origin. The effects of tiltings and vertical motions of foundation are observed during the tectonic events. Characteristic course of the phenomena and their high repeatability can confirm relationship between observed effects and tectonic motions in the Sudeten Mountains region (Kaczorowski, 2009a). Observed by WT tectonic deformations of sub-millimeter order, limits the possibility of application of GPS/GNSS satellite technique for direct verification and comparative works of tectonic phenomena. Nevertheless, this satellite technique was applied for determination of KSIA station velocities, expressed in the geocentric reference frame (ITRF2008) and for their comparison with velocities of selected referential stations. These stations, which were selected for further discussion, are distributed in different distances and in different azimuths from KSIA station and are situated on regional geological units. Until the end of 2013 KSIA station registered over three years long data series on the basis of which velocity vector was determined and applied by us in the first attempt of interpretation. The yses of GPS data series provided us with important geodynamic information in respect to the possibility of stresses accumulation in unit of Swiebodzice Depression, as caused by changes of relative distances between surrounding tectonic units and Swiebodzice Tough (Teisseyre, 1951; Teisseyre et al., 1965). Generally, accumulation of stresses in orogen manifests in form of tectonic activity. In this issue we consider no seismic process of displacements on faults in Ksiaz massif. After two years of low tectonic activity, i.e. since 2009, there was initiated significant increasing of the number of tectonic events and changes of proportions between magnitudes of signals registered on both tiltmeters as well as in order of these signals appearance. One of the main components of tectonic structure in Ksiaz massif and in the surroundings of Geodynamic Laboratory is the provisionally called by us and only for our local kinematic model purposes 'main southern fault'. We expect that displacements of wings of the 'main fault' may be ten times or more greater than the displacements observed by WT on the indirect faults. Displacements on the indirect faults are only transformation of horizontal motion component and therefore ought to be much smaller. This circumstance enhances chance, that the GPS stations, monitoring of the 'main southern fault', provides us with new information about tectonic processes. Activity of the 'main southern fault' can stimulate activity of indirect faults of the massif, which are distributed under hydrodynamic system of WT. At present, the only possibility of monitoring tectonic effects on the 'main fault' is provided by application of GPS permanent stations, which are located in relatively short distance (400m) and on the opposite wings of the 'main southern fault'. The new GPS station (KSI1) was established on the building of castle stables in May 2013. We expect that both GPS stations (KSIA and KSI1) will provide us with information on the 'main fault' tectonic motions and will help us in evaluation of the effect of regional stresses accumulation.


The water-tube tiltmeters are the main source of information concerning tectonic activity in LG. In period of 2004-2007 the water-tube tiltmeters registered five events of very strong signals with maximum amplitude of 300 mas (ten times greater than the tidal signals). The signals of water level changes had a very similar and characteristic course of events which presents a very complicated picture (Kaczorowski, 2007).

The tectonic phenomena affect the water-tube tiltmeters through tiltings and vertical motions of foundation. In data series of tectonic signals it was possible to distinguish significant double-phase character of tectonic phenomenon as well as simultaneous appearance of tectonic signals on both tiltmeters, situated perpendicularly each other. Until 2007 the signals observed on tiltmeter 01-02 contained events of simultaneous decreasing of water level on both ends of the tube of instrument. In several cases the tilting effects preceded the effects of vertical motions of foundation. Together with increase of the number of registered tectonic events and acquire of knowledge about geological structure of Ksiaz massif, improvements were made in kinematic models describing the tectonic phenomenon. Initial model with simple tilting of foundation as well as model with vertical motions on single fault, which crossed tubes of tiltmeters, did not allow to explain the observed water level variations (Kaczorowski and Wojewoda, 2011). Until 2007 the five-elements model provided correct description of water level variations during the tectonic event and it also explained all characteristic moments of water level variations in tiltmeters, caused by vertical motions and tiltings of foundation. In the period of 2007-2009 there occurs an interval of low level of tectonic activity, during which almost no tectonic signals were observed. Since 2009 there follows significant increase of frequency of tectonic events (Fig. 1 and Fig. 2). In March 2010 one extremely strong effect amounting to 500 m.a.s., occurred on tiltmeter 01-02 (Fig. 1), the previous signals on which were weaker than the signals on tiltmeter 03-04. In this time strong tectonic effects indicate small changes in the course of events. On tiltmeter 01-02 there was a slight increase in amplitude of registered signals, compared to the previous period, before 2007. However, after 2009 we still can observe events, the course of which reminded the events from the previous epoch (Fig. 3).


The collected observations from WT indicate that the tectonic deformations of Ksiaz massif are proceed in three dimensions. Direct horizontal component of tectonic motions is converted into tilting and vertical motions of foundation. Vertical component of motions and tilting of blocks in orogen are produced by effect of transformation of horizontal component of motion on slope surfaces of faults. Therefore the course of tectonic events takes form of horizontal and vertical displacements of slope surfaces of faults, which depends on geological constitution of Ksiaz massif. We recognized routes of the faults in Ksiaz massif (in underground corridors of the LG as well as outside of the underground, on the Earth surface), the part of which indicate recent tectonic activity (Kaczorowski and Wojewoda, 2011). Geological investigations confirmed existence of the system of parallel faults, which cross the corridors with hydrostatic elements of WT. The collected observations confirm that the tubes of tiltmeters, fixed to the bedrocks, are affected by displacements of rocky blocks on active faults.

In spring of 2013 measurements of recognized faults were made as well as calculations of their routes and dips. For these calculations three dimensional geodetic network was established in autumn of 2012, inside the underground corridors of the LG. The local network was connected with external points of geodetic network, using precise tachymeter and GPS equipment. The accuracy of the network is less than 1 cm in both the horizontal and vertical components. All of the determined faults can be divided into two separate classes of similarity on the basis of their routes and dips (Fig. 4). It was proved that in the Ksiaz massif there are two dominant systems of faults belonging to two separated classes. The faults of the first class are parallel to the 'main southern fault' (Class 1 in Fig. 4) whereas the azimuths of routes of the second class faults (Class 2 in Fig. 4) differ by ~30[degrees] from the west (counterclockwise) in relation to the azimuth of the 'main southern fault'. The third class of faults (Class 3) consists of only two but large and clearly marked faults, continuation of which is clearly visible outside the corridors of the laboratory, on exposed rock slopes. The azimuth of faults of Class 3 is almost perpendicular to the azimuth of the 'main southern fault'. The first two classes of the faults occur in tectonic deformations of orogen in different manner. Probably the faults of Class 1, which are parallel to the 'main southern fault', are active in situation when northern wing of the 'main southern fault' is slower than its southern wing. In inverse situation, when the northern wing is faster than the southern one, Class 2 of the faults is active. Taking into account geological indicators of delay of the northern wing in relation to the southern wing, we named the first case as 'compensation phase' of phenomenon and the second case as 'shifted phase'. This thesis is motivated by changes of faults activity observed after 2009 by wT tiltmeters (see Chapter 2.).

We construct the three dimensional kinematic model of Ksiaz castle hill massif with strike of faults in order to better recognize this situation. The kinematic model will provide us with better determination of influence of tectonic activity on water-tube tiltmeters. At the present stage of our research on the phenomena and effects recorded by the measuring equipment installed in LG Ksiaz, an attempt was made to build the simplest kinematic model describing the behavior of the fragments of the massif (block) of rock, in which are hollowed the underground corridors of our laboratory and which at the same time would be able to describe and explain the complexity of these strong signals. This model, of course, must be at the most consistent with the real conditions that exist in this physical space. Massif, on which the Ksiaz castle is built is surrounded on three sides by the valley of Pelcznica river. To a depth of approx. 100 meters (LG lab is sitted at a depth of approx. 50 m under the buildings of the castle) we can treat it as partially relaxed rock mass and attempt to model the mutual displacements of individual fragments of rock, carried out on existing cracks surfaces and faults. In this part the massif would not be subject to any rheological processes directly, that does not mean that they may not occur in the deeper layers, located under the level of the Pelcznica river bed. From the study of the terrain topography we can expect that the only direction of the origin of source of stress in the upper layer of rock-mass is North or North-East. From the same analysis of topography, we noted a strong deformation of the meander of the Pelcznica river, which, from the South-East in relation to the Ksiaz castle, instead of bending the line of close to cycloid shape, it bends almost at right angles. Such a meander shape indicates the possibility of the occurrence of the fault location, on which would occur this type of deformation. In the literature, there are geological notes and maps, on which are inscribed the faults routes which can confirm this thesis. If that is the case, then the generated stress in the upper layers of the crust could be compensated (discharged) through the interaction of the two wings of the fault. In view of our current research capabilities, first we try to detect possible activity of the 'main southern fault', with potentially the greatest deformations, especially in horizontal component, and due to the fact that we have two GPS receivers installed on both wings of the so-called 'main southern fault'. We have also made the effort to place the precise measuring equipment inside the LG, which possibly indicates the existence of much smaller movements on the indirect faults, which are recognized and measured inside the underground corridors of the laboratory.


Detailed description of conditions of selection of the site for installation and mounting of GPS antenna system, installation of station infrastructure as well as description of registration data parameters and adopted methods of GPS data processing are included in the previous publication (Zdunek, 2012). Since autumn of 2010 GPS station KSIA has equipped with TurboRogue SNR-8000 receiver and Trimble D_M ChokeRing (TRM29659.00 NONE) antenna. Small number of channels in the Turbo-Rogue receiver caused limitation of the number of registered observations, so on 2012-10-13 (2012:DOY287) it was exchanged for Ashtech uZ-CGRS. What is very important for construction and ysis of time series of station coordinates, the stabilization of the antenna, the antenna and signal cable were not changed. As a result of the exchange of the receiver there occurred a slight improvement in the accuracy of station coordinates obtained from daily solutions. Average error values decreased by 15 %, 24 % and 13 %, respectively for B, L and h component. Since the commencement of permanent registration, i.e. from date of 2010-11-13 (2010:DOY317) to 2013-11-17 (2013:DOY320), for 1100 observation days 1097 whole day sessions were registered. Collected over 3-year series of continuous observations is still elongated and developed to systematically improve the accuracy of determination of KSIA station velocity vector. In order to support the research of mutual horizontal displacements of wings of the main southern fault, in autumn of 2012, exploration of the possibilities of establishing a second GPS station, positioned at the southern side of the fault was performed. Finally it was established on the building of castle stables, in May 2013 (Fig. 5).

On the new GPS station KSI1 operates, removed from the KSIA station, Turbo-Rogue SNR-8000 receiver and Rogue Dorne-Margolin Choke Ring (AOAD/M_T) antenna without snow cover. ysis of the data from the second GPS station show that the quality of observations is at the same level as for the KSIA station during the period when it worked with the Turbo Rogue receiver.


GPS data processing are performed using two different methods: 'Precise Point Positioning' (PPP) (Zumberge et al., 1997; Kouba et al., 2001; Bisnath et al., 2008), as well as 'Double Differences' (DD). PPP solutions, though somewhat less precise, allow us to avoid of possible influence of GPS reference network construction changes, that quite often occur at long time intervals of data processing. The first method of data elaboration is realized by means of Canadian program NRCan-PPP, the source code of which was rendered to us basing on a signed agreement. For the second method (DD), initially the Bernese GPS Software ver.5.0 was used (Dach et al., 2007). After the release of version 5.2 of the program, in July 2013, due to significant changes, including implemented new geophysical models and parameters, recommended by the IERS conventions (Petit and Luzman, 2010), the decision was made to perform a re-processing of the whole observational material. Its completion is planned for the first quarter of 2014. Similarly, it was also in the case of PPP processing. The whole material was re-processed in the last version of the program: 1.05/03812 on 2013-01-07. This process has been completed. Based on the results from GPS data, time series of station coordinates are constructed for the KSIA station and for the stations close and further its surroundings, established on the other geological structures. Presented in this publication results, obtained from GPS technique, end at the epoch of 2013-11-16 (2013:DOY320). For the most stations it cover nearly 6 years of observation. Data from CLIB and CPAR stations are available from the date 2009-12-17 (2009: DOY351), which gives nearly 4-year series. The shortest period of GPS observations has the KSIA station, which collected data from 3 years. The length of this period is taken as the minimum for the purposes of station velocity vectors calculations, determined from GPS technology. In the period covered by the GPS data processing, several events occurred that had an impact on the quality and consistency of the constructed time series of stations coordinates. The reference frame, in which all GPS data processing variants are realized, is the current reference frame of precise orbits of GPS satellites and global parameters consistent with them. On 2011-04-17 the new reference frame ITRF2008 (IGS08) was implemented into IGS products, which, in GPS component, first time is based on absolute GPS/GNSS antennas models. In addition, on several selected EUPOS/EPN stations, changes in GPS equipment (receiver/antenna) took place during the period of the elaboration data: BISK: 2012-11-11 (receiver), CLIB: 2010-05-18 (receiver), 2011-09-01 (receiver+antenna), CPAR: 2011-10-27 (antenna), 2011-11-10 (receiver), GOPE: 2009-12-15 (receiver+antenna), WROC: 2012-10-22 (receiver +antenna). On 2012-02-14 (2012: DOY045) IGS/EPN station BRUS was definitively closed, forcing us to its replacement during the re-processing. In addition, in 2011 and 2012 a lot of longer intervals with missing GPS observations took place on the stations METS, JOZE, BISK and some other stations. All reference stations of IGS/EPN networks included in the data processing belong to the class A of these networks, which is consistent with the recommendations for IGS/EPN networks densification (Gurtner, 1994; Bruyninx et al., 2013). Construction of the station coordinate time series, which started in the ITRF2005, after changing the reference frame is done in the new ITRF2008. All designated solutions to the epoch 2011:DOY106, which were referred to the ITRF2005 (IGS05), have been converted to the new reference frame ITRF2008, using the 14-parameter transformation, officially recommended by the IERS (Altamimi et al., 2012).

( Due to the different lengths of the time series for different groups of stations, it was decided at this stage, to determine simultaneously the coefficients of the linear expressions (to calculate the trend of annual changes in horizontal components of stations coordinates) as well as only one periodic expression annual seasonal effects, which is an obvious element of physical effects on the periodicity of change.

Table 1. contains a list of the values of the velocity vectors (its horizontal components) as well as the amplitudes and phases of KSIA station and selected ASG-EUPOS/CZEPOS/EPN stations, involving (different) time intervals available for each station, and determined from the PPP solutions.

As it shown by existing yses carried out on various lengths of time series, for shorter time intervals we generally obtain values of the station velocity vectors slightly overestimated in relation to determinations involving longer intervals. Table 2 provides examples of the determinations for the periods of the last 3 and 6 years. An exception are CLIB and CPAR stations, for which observation data are available from the last less than 4 years.

This effect also occurs at the station KSIA. Processing of longer intervals of GPS data will enhance credibility determinations of the station velocity vectors and should eliminate this effect.

In order to make initial external evaluation of the obtained values of stations velocity vectors, 3 IGS/EPN reference stations, located closest to the KSIA station, were compared with values, published in the official catalog of ITRF2008 and with velocities calculated from SOPAC as well as JPL time series. Determined velocity vectors show a high compatibility with each other, especially in the length of the vectors. Computed velocities are closest to the values in ITRF2008 catalogue. Greater differences can be caused e.g. by the fact, that they were determined based on a significantly different intervals of observations (Table 3).

Another comparison was made with vectors calculated using existing models of tectonic plate movements, obtained from geophysical and satellite techniques. These models, due to the slightly different assumptions (De Mets et al., 1990; Drewes, 2009; Argus et al., 2010), show differences of absolute values, but between adjacent stations get very high consistency, well describing the generalized movement of the EURA continental tectonic plate. From last two columns we can see more complicated pattern. They show that, especially vectors for stations located in the Sudeten Mountains are differ more from the values calculated from models. These stations can be affected by intra-plate tectonic movements (Table 4, Fig. 7).


Now we know that observed by WT effects, associated with recent tectonic movements in the Ksiaz massif are event-driven, rather than continuously. Due to the interaction of adjacent geological structures (massifs, blocks) event-driven nature of these movements relates probably to much larger area of the Sudeten Mountains than Ksiaz massif.

Conducted in Ksiaz LG since autumn 2010 GPS measurements are intended to help answer the question whether the behavior of the Ksiaz massif stands out from its surroundings or the motions of the KSIA station are subject to the same trends as the rock mass movements of station Ksiaz. The answer to this question will conclude whether the observed LG manifestations of contemporary tectonic activity are the result of cumulative stress on a larger scale (in the region) or only locally in the rocks of Ksiaz massif. The assumption, the determined velocity vectors are the vectors representing the physical displacements of the stations on the Earth surface, allow us the evaluation of the potential impact of stress caused by adjacent geological structures on the rock mass Ksiaz. With this subject they are included at this stage to develop a preliminary interpretation of the phenomena observed by water-tube tiltmeters in LG. On the basis of determined the absolute velocity vectors of the stations in the ITRF2008 reference frame, for the ysis and interpretation purposes, differences of velocity vectors of each selected station and KSIA station was calculated, whereas the GPS KSIA station has the greatest uncertainty (Table 5, Fig. 7).

Based on the determined stations velocity vectors and comparisons with existing tectonic plate movement models, it can be seen that in addition to the dominant effect, which is the vector of mean movement of continental plate EURA in this region, in the study area have also occurred intra-plate movements with values of approximately 1 mm/year or less. In particular, this effect is visible on the stations located in the Sudeten Mountains and the Sudeten Foreland. Determined horizontal components of stations velocity vectors, due to the existence of the strongly dominant effect of EURA tectonic plate motion expressed in the ITRF2008 reference frame, have similar azimuths. An average value in this region is about 53.4[degrees] with small fluctuations on a few reference stations (less than 1[degrees]). Only a few stations, mostly lying on the south side of the Sudeten Mountains and in their area slightly exceeded this value. Estimated azimuth of station velocity vector of KSIA station is about 53.8[degrees] and forms with the azimuth of the main southern fault (approx. 44.9[degrees]) small angle of about 8.9[degrees] (Fig. 5).

Close-up the angular of direction of the main southern fault and of the determined velocity vector of KSIA station causes that the movement of the wings fault acts on the speed of movement of the station and not on a change of the azimuth of the movement. From the distribution of the relative vectors can be concluded that the rock mass Ksiaz moves a little faster in the north-east direction than the area of the Middle Odra region and stations in the Czech Republic (in the south of Sudeten Mountains). Comparison of horizontal velocity vectors for stations lying in the direction of the 'main southern fault' follows, that today it is possible occurrence of stress of the Earth's crust on a regional scale. During the period of last few years the stress component can be similar to the azimuth of the 'main southern fault'. This thesis, however, requires longer studies. From results of the half a year of the data series of 400 m long GPS vector KSIA-KSI1, we can see appearing trend of shortening its distance. This results (~1.2 mm/year) is still of a low level of credibility. However, this could indicate the presence of a faster move of the north wing in a north-east direction in relation to the south wing of the main fault, which is evident in the geological and morphological indicators, shown in Figure 5. The velocity vector of the neighboring stations WLBR and other stations located in the Sudeten Mountains suggests the possibility of interaction of adjacent geological structures on Ksiaz massif.


The 'main southern fault', which is the central element of our local kinematic model for Ksiaz massif, runs in about one hundred meters distance from GPS station KSIA, established in Ksiaz LG. It is probable that increase of velocity vector of GPS KSIA station in relation to the velocity vector of the GPS reference stations is created by influence of movement of the 'main southern fault' wing (Fig. 4., Fig. 5.). The local vector of displacements of the northern wing of the 'main fault' interfere with the mean vector of large scale continental plate motions in this region. Determination of differences of velocity vectors of GPS KSIA station and mean velocity vector of GPS reference stations allowed us to evaluate velocity of the northern wing of the 'main southern fault'. Determination of azimuth and trend of displacements occurred on the 'main southern fault' simplify interpretation of medium deformations on indirect, secondary faults, which exhibit vertical motions and tilting of foundation. Recognized and measured faults in underground corridors of LG laboratory, crossing WT tubes, show that the proposed multi-fault, five-elements model, which describes the observed tectonic events is consistent with the existing state of the faults, especially with the Class 2 of indirect faults. In respect of dominant meaning of the 'main southern fault' we decided to mount the second GPS station (KSI1) on the southern wing of the 'main fault' in May 2013. We expect that GPS station KSI1 provide us with data about mutual displacements of wings of fault as well as information about displacement of the southern wing of the fault. On the basis of the half a year data series of KSI1 station we conclude that the distance connecting both stations (cca 400 m) shortens. This result is still of a low level of credibility. Besides the GPS stations located on the 'main southern fault', there are no other measurement instruments such as feeler and extensometers gauges, which are more suitable for monitoring displacements on faults than the satellite measurement techniques. Installation of these instruments is planned and it will allow us for a more precise recognition of faults mechanism. Complete the re-processing of GPS data in the Bernese Software V.5.2 and the successive lengthening of the time series being developed by both methods also will allow in the future for their verification and improvement of the developed model of the phenomenon.

DOI: 10.13168/AGG.2014.0016

Article info

Article history:

Received 24 February 2014

Accepted 6 September 2014

Available online 6 October


The GPS stations in Ksiaz Geodynamic Laboratory and related research was financed by the grant No. N N526-159538 of the Polish Ministry of Scientific Research and Information Technology. The water-tube tiltmeters was founded by grants 4-T12E011-28, N N526- 160536 and earlier.


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Ryszard ZDUNEK (1)*, Marek KACZOROWSKI (1), Damian KASZA (2) and Roman WRONOWSKI (1)

(1) Space Research Centre, Polish Academy of Sciences, Bartycka 18A Str., 00-716 Warsaw, Poland

(2) Wroclaw University of Technology, Institute of Mining Engineering, Na Grobli 15 Str., 50-421 Wroclaw, Poland

* Corresponding author's e-mail:

Table 1 List of stations velocity vectors, azimuths, amplitudes
and phases of annual seasonal effects, calculated for selected
GPS stations.

          Time interval
Station    of GPS data           Velocity    Amplitude
Abbrev.     processing          [mm/year]       [mm]      Fi [deg]

BISK        5.94 years     N         13.5          0.7      -138.4
                           E         21.3          0.4       -99.7
BOR1        5.94 years     N         14.2          0.4        92.3
                           E         20.4          1.0      -124.8
CLIB        3.92 years     N         13.6          0.3       -48.8
                           E         19.3          0.5      -164.3
CPAR        3.92 years     N         14.6          0.3       -75.9
                           E         20.6          1.0       164.1
GOPE        5.94 years     N         15.0          0.6        -5.0
                           E         20.1          1.0       149.1
JLGR        5.94 years     N         15.6          0.6      -117.7
                           E         20.5          1.1      -169.8
KLDZ        5.94 years     N         14.9          0.3       -84.1
                           E         21.3          1.1      -122.6
LEGN        5.94 years     N         15.3          0.5        74.3
                           E         20.9          0.9      -131.0
NYSA        5.94 years     N         15.3          0.4        11.1
                           E         21.0          1.0      -123.3
OPLE        5.94 years     N         14.5          1.3        50.6
                           E         21.1          1.8      -122.9
WLBR        5.94 years     N         15.4          0.6       -45.5
                           E         21.4          1.7      -116.8
WROC        5.94 years     N         14.6          0.4        -6.8
                           E         20.1          0.5       105.7
KSIA        5.94 years     N         15.2          0.6        28.7
                           E         20.7          0.7       -28.0

          Time interval
Station    of GPS data            Azimuth        V_Hz
Abbrev.     processing          [[micron]]    [mm/year]

BISK        5.94 years     N      57.633        25.22
BOR1        5.94 years     N      55.159        24.86
CLIB        3.92 years     N      54.829        23.61
CPAR        3.92 years     N      54.673        25.25
GOPE        5.94 years     N      53.267        25.08
JLGR        5.94 years     N      52.730        25.76
KLDZ        5.94 years     N      55.026        25.99
LEGN        5.94 years     N      53.794        25.90
NYSA        5.94 years     N      53.924        25.98
OPLE        5.94 years     N      55.503        25.60
WLBR        5.94 years     N      54.260        26.37
WROC        5.94 years     N      54.007        24.84
KSIA        5.94 years     N      53.710        25.68

Table 2 Extending the time series from 3 to 6 years shortens the
length of the velocity vectors.

           6 years TS, except    3 years TS, for all    V_Hz_6y -
             KSIA V_Hz from       stations V_Hz from     V_Hz_3y
Station     6 years [mm/year]     3 years [mm/year]     [mm/year]

BISK              1.48                   1.92               -0.44
BOR1              0.75                   1.43               -0.68
CLIB *            1.90                   1.79                0.11
CPAR *            0.48                   0.33                0.15
GOPE              0.40                   1.02               -0.62
JLGR              0.47                   1.58               -1.11
KLDZ              0.69                   1.73               -1.04
LEGN              0.55                   1.04               -0.49
NYSA              0.37                   0.95               -0.58
OPLE              0.50                   1.48               -0.98
WLBR              0.88                   1.90               -1.02
WROC              0.69                   1.20               -0.51

Table 3 Comparison of determined velocity vectors (horizontal
components and azimuths) of 3 IGS/EPN reference stations, with
ITRF2008 official values, ITRF2008 Plate Motion Model and
calculated from SOPAC and JPL time series.

             5.94 yrs comp.      ITRF2008 catalogue
abbrev.   V_Hz mm/y    Az deg    V_Hz mm/y    Az deg

BOR1        24.86       55.16      24.90       53.41
GOPE        25.08       53.27      25.23       53.28
WROC        24.84       54.01      24.70       53.44

              ITRF2008-PMM             SOPAC
abbrev.   V_Hz mm/y   Az deg    V_Hz mm/y    Az deg

BOR1        24.93      53.45      24.81       53.67
GOPE        25.35      52.36      25.31       52.53
WROC        24.70      53.36      24.68       53.73

abbrev.   V_Hz mm/y    Az deg

BOR1        24.68       53.73
GOPE        25.06       52.95
WROC        24.73       54.38

Table 4 Comparison of horizontal components of stations velocity
vectors: from GPS data processing (computed) and from the
selected tectonic plate models.

              HS3-NUVEL-1A          APKIM2005-IGN

station    vN mm/y    vE mm/y    vN mm/y    vE mm/y

KSIA           0.0        0.0        0.0        0.0
BISK          -0.2        0.3       -0.1        0.4
BOR1          -0.1       -0.1       -0.1       -0.2
CLIB           0.2       -0.2        0.1       -0.3
CPAR           0.1        0.0        0.1        0.1
GOPE           0.3       -0.1        0.2       -0.1
JLGR           0.1       -0.1        0.1       -0.1
KLDZ          -0.1        0.1        0.0        0.2
LEGN           0.0       -0.1        0.0       -0.1
NYSA          -0.2        0.2       -0.1        0.3
OPLE          -0.3        0.3       -0.2        0.4
WLBR           0.0        0.0        0.0        0.0
WROC          -0.1        0.1       -0.1        0.1

               GEODVEL 2010          MORVEL 2010

station    vN mm/y    vE mm/y    vN mm/y    vE mm/y

KSIA           0.0        0.0        0.0        0.0
BISK          -0.2        0.3       -0.2        0.3
BOR1          -0.1       -0.2       -0.1       -0.1
CLIB           0.2       -0.2        0.2       -0.2
CPAR           0.1        0.1        0.1        0.0
GOPE           0.2       -0.1        0.2       -0.1
JLGR           0.1       -0.1        0.1       -0.1
KLDZ           0.0        0.2       -0.1        0.1
LEGN           0.0       -0.1        0.0       -0.1
NYSA          -0.1        0.3       -0.2        0.3
OPLE          -0.2        0.3       -0.3        0.3
WLBR           0.0        0.0        0.0        0.0
WROC          -0.1        0.1       -0.1        0.1

                 GSRM 1.2        Computed in ITRF2008

station    vN mm/y    vE mm/y    vN mm/y    vE mm/y

KSIA           0.0        0.0        0.0        0.0
BISK          -0.2        0.4       -1.7        0.6
BOR1          -0.1       -0.2       -1.0       -0.3
CLIB           0.2       -0.2       -1.6       -1.4
CPAR           0.1        0.1       -0.6       -0.1
GOPE           0.2       -0.1       -0.2       -0.6
JLGR           0.1       -0.1        0.4       -0.2
KLDZ          -0.1        0.2       -0.3        0.6
LEGN           0.0       -0.1        0.1        0.2
NYSA          -0.2        0.3        0.1        0.3
OPLE          -0.2        0.4       -0.7        0.4
WLBR           0.0        0.0        0.2        0.7
WROC          -0.1        0.1       -0.6       -0.6

Table 5 List of relative stations velocity vectors
(horizontal components), referred to the
velocity vector of GPS station KSIA.

Station    dvN [mm/year]   dvE [mm/year]

BISK              -1.68            0.58
BOR1              -1.02           -0.37
CLIB              -1.60           -1.46
CPAR              -0.54           -0.11
GOPE              -0.14           -0.66
JLGR               0.37           -0.26
KLDZ              -0.29            0.58
LEGN               0.08            0.14
NYSA               0.11            0.22
OPLE              -0.73            0.36
WLBR               0.22            0.62
WROC              -0.58           -0.66
KSIA               0.00            0.00
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Title Annotation:Original paper
Author:Zdunek, Ryszard; Kaczorowski, Marek; Kasza, Damian; Wronowski, Roman
Publication:Acta Geodynamica et Geromaterialia
Article Type:Report
Geographic Code:4EUSW
Date:Oct 1, 2014
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