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, OCTOBER 2013, 64, 5, 399—408 doi: 10.2478/geoca-2013-0027
Introduction
Turiec Basin (TB) is one of the most typical intramontane
Neogene depressions of the Western Carpathians. It is situated
in the northern part of Slovakia, elongated in the NNE—SSW
direction. It is about 40 km long and 10 km wide (Kováč et al.
2011; Fig. 1).
This basin, belonging to the region of the Western Car-
pathians, is well covered by geophysical data. Seismic, gravity,
geoelectric, and thermal measurements have been collected
there at various scales. Deep seismic profile K-III (Hrdlička et
al. 1983) has shown that the TB is a zone with higher effective
velocities, where v
p
velocities 5.8—6.0 km/s occur at depth of
9 km. At the K-III profile the depth of the Moho discontinuity
was set to 35 km with a NNE dip. Regional seismic profiles
4HR/86, 4AHR/86 and 519/87 (Tomek et al. 1987) brought
information about the geological structure, structure of the
Tertiary sedimentary fill, as well as its relation to the crystal-
3D gravity interpretation of the pre-Tertiary basement in the
intramontane depressions of the Western Carpathians:
a case study from the Turiec Basin
MIROSLAV BIELIK
1,3
, MARTIN KRAJŇÁK
1
, IRINA MAKARENKO
2
, OLGA LEGOSTAEVA
2
,
VITALY I. STAROSTENKO
2
, MARIÁN BOŠANSKÝ
1
, MICHAL GRINČ
1
and JOZEF HÓK
4
1
Department of Applied and Environmental Geophysics, Faculty of Natural Sciences, Comenius University, Mlynská dolina, pav. G,
842 48 Bratislava, Slovak Republic; bielik@fns.uniba.sk
2
Institute of Geophysics, National Academy of Sciences of Ukraine, Palladin av. 32, 03680 Kiev, Ukraine
3
Geophysical Institute of the Slovak Academy of Sciences, Dúbravská cesta 9, 845 28 Bratislava, Slovak Republic; geofmiro@savba.sk
4
Department of Geology and Paleontology, Faculty of Natural Sciences, Comenius University, Mlynská dolina, pav. G, 842 48 Bratislava,
Slovak Republic
(Manuscript received February 6, 2013; accepted in revised form June 5, 2013)
Abstract: New results related to the thickness and density of the sedimentary fill of the Turiec Basin allowed us to
construct the first original stripped gravity map for this typical intramontane Neogene depression of the Western
Carpathians. The stripped gravity map of the Turiec Basin represents the Bouguer gravity anomalies corrected for the
gravity effect of the density contrast of its Quaternary-Tertiary sedimentary basin fill. It means that the map reflects the
gravity effects of the density inhomogeneities which are located beneath the sedimentary basin fill. This map is there-
fore suitable for the interpretation of the structure and composition of the pre-Tertiary basement. Based on the new data
analysis, two different density models of the sedimentary fill were constructed. The 3D density modelling was used to
calculate the gravity effect of the density models. The stripped gravity maps were produced by subtracting the density
model gravity effects from Bouguer anomalies. The regional trend was also removed from the stripped gravity maps.
The residual stripped gravity maps were consequently used for geological interpretation of the pre-Tertiary basement of
the Turiec Basin. The pre-Tertiary basement of the Turiec Basin can be divided into northern and southern parts due to
its gravity characteristics. Furthermore the northern part can be split into two domains: western and eastern. The crys-
talline basement of the western domain is probably formed by the Hercynian crystalline basement of the Tatric Unit. In
the eastern domain the basement could consist mostly of the Mesozoic complexes of the Fatric Unit. The southern part
of the pre-Tertiary basement of the Turiec Basin is built predominantly by Mesozoic complexes of the Hronic Unit. It is
suggested that the Hronic Unit also forms the bedrock of the volcano-sedimentary complex of the Kremnické vrchy
Mts. The resultant stripped gravity maps and the map of total horizontal gravity gradients have also proven to be very
useful for the interpretation of faults or fault systems in the study area. Various faults, particularly of NNE-SSW and
NW-SE directions were discovered. The analysis of the faults indicates clearly that the contact of the Turiec Basin with
the Malá Fatra Mts and the Ve ká Fatra Mts is tectonic.
Key words: Western Carpathians, Turiec Basin, applied geophysics, gravity, 3D density modelling, stripped gravity map.
line basement in the TB. The basin is well covered by gravity
measurements in a scale of 1 : 50,000 (Zbořil et al. 1975;
Szalaiová & Stránska 1978). The main acquisition of the geo-
electrical survey (Zbořil et al. 1985) yielded a definition of a
relief of the pre-Tertiary basement with thick accumulations
of Tertiary sediments. The geothermal characteristics are also
well known in the TB. The basin represents an area of higher
temperatures compared to the surrounding region. The results
from borehole GHŠ-1, in the southern part of the basin, show
a temperature of 35 °C at 500 m depth, 49 °C in 1000 m
depth, and 64 °C in 1500 m depth (Fendek et al. 1990).
Geophysical measurements carried out for the TB were
summarized by Šefara et al. (1987). The last geophysical
measurements were performed and interpreted by Panáček et
al. (1991). The results consist of the physical properties of
the rocks, additional geoelectrical profiling and vertical elec-
trical sounding, and geological-geophysical interpretation of
the geological structure in the TB.
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The development of the TB and the evolution of its land-
scape were reconstructed by means of geological research
(structural geology, sedimentology, paleoecology, and geo-
chronological data), as well as by geophysics and geomor-
phology (e.g. Hók et al. 1998; Kováč et al. 2011).
On the basis of the geophysical constraints, a two dimen-
sional interpretation of the gravity field in the TB by the den-
sity modelling method was presented by Bielik et al. (2007,
2009) and Grinč et al. (2010). Krajňák et al. (2012) extended
this study by the calculation of the first preliminary stripped
gravity map in the TB. This preliminary stripped gravity
map did not take into consideration the real topography of
the basin. The upper boundary of the density model was ap-
proximated only by sea level (0 m). This approximation is
inadequate for a high quality interpretation of the gravity
field by the stripping gravity method.
From this point of view the main goal of the paper presented
here is to apply 3D gravity modelling for the calculation and
presentation of new, more precise, stripped gravity maps in
the TB. The improvement of the new stripped gravity maps
Fig. 1. Geographical position of the TB (modified after Kováč et al.
2011 and Krajňák et al. 2012).
presented here dwells in the construction of more precise
density models including the topography of the basin. On the
basis of the resultant stripped gravity maps calculated for
two different density models, and corrected for the regional
gravity anomalies, we also present a geophysical and geo-
logical interpretation of the structure and composition of the
pre-Tertiary basement of the TB.
Geology
The Turiec Basin is the northernmost intramontane depres-
sion of the Central Western Carpathians filled with Paleo-
gene, Neogene and Quaternary deposits (Figs. 1, 2). Its
northern margin (Kováč et al. 2011) is formed by the
Krivánska Malá Fatra Mts, which are predominantly com-
posed of the Hercynian crystalline basement of the Tatric
Unit. The western flank of the basin is part of the Lúčanská
Malá Fatra Mts, while the eastern flank borders the Ve ká
Fatra Mts. Both are composed of Mesozoic complexes of the
Fig. 2. Schematic geological map of the TB and its surroundings
(modified after Bielik et al. 2007; Kováč et al. 2011).
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Fatric or Hronic Nappes and the Hercynian crystalline com-
plex of the Tatric Unit. The Tatric crystalline basement of the
Žiar Mts and the volcano-sedimentary complex of the Krem-
nické vrchy Mts restrict the basin to the south (Fig. 2). The TB
is a westward dipping halfgraben (Kilényi & Šefara 1989;
Kováč et al. 2011). The pre-Neogene basement of this basin
consists of the Central Western Carpathian paleo-Alpine tec-
tonic units, which mainly comprise Mesozoic complexes,
and also Paleogene post-nappe sedimentary cover in its
northern part (Fusán et al. 1987; Kováč et al. 2011).
The Paleogene and Early Miocene deposits crop out on the
eastern and north-eastern margin, as well as in the footwall
of the Miocene basin fill. They represent a basal formation
containing coarse-grained deposits to clays, claystones,
sandstones and deposits of turbidity flows lying directly on
the Mesozoic basement. The Late Badenian initial rifting,
caused by transtensional to extensional tectonic regime, led
to subsidence in the southern part of the TB, where the vol-
cano-sedimentary andesite complex of the Turček Formation
was deposited. Late Miocene clockwise rotation of the prin-
cipal compressional axis to a NNE-SSW led to the Pannon-
ian subsidence of the TB and the synrift sedimentation of the
principal fill of the TB – the Martin Formation deposited in
isolated basin surrounded by uplifted mountains. Pelitic grey
clay is a dominant lithological type, along with clay with the
presence of coal pigment, thin lignite coal seams, sand and
sandstone. The uniform dip of the sedimentary sequence
points to the long-term activity of faults near the western
margin of the depression (Hók et al. 1998). These played a
dominant role during the basin’s evolution. In the time from
the latest Pannonian to Pontian, the coarse-grained alluvial
fans of the Abramová and Blážovce Members were deposited
on the margin of the uplifted central part of the Lúčanská
Malá Fatra Mts. They were deposited on the pre-Neogene
basement and the Middle Miocene pelitic sediments. Toward
the basin, the marginal coarse-grained subaereal sediments
are interfingering with fine-grained lacustrine deposits. In
some places they partly intercalate with clays of the Martin
Formation. During the Pontian and Early Pliocene, the
change of tectonic regime led to the end of subsidence and
the end of deposition followed by the uplift of the whole TB
catchment (Kováč et al. 2011). A rapid uplift of the crystal-
Fig. 3. Complete Bouguer gravity anomaly map calculated by
Kučera & Michalík (in Bielik et al. 2007). MGL – Martin gravity
low, SPGL – Slovenské Pravno gravity low, NDGL – Nový
Dvor gravity low.
Fig. 4. Map of the pre-Tertiary basement depth calculated by
Kučera & Michalík (in Bielik et al. 2009). MS – Martin sub-ba-
sin, SPS – Slovenské Právno sub-basin, NDS – Nový Dvor sub-
basin.
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line basement of the Krivánska Malá Fatra Mts is documented
by the Upper Pliocene Bystrička Member and the Pleis-
tocene alluvial fans of the Podstráne Member, containing
Tatric material derived only from the mountains.
3D density modelling and stripped gravity map
The 3D gravity (density) modelling method was applied to
generate the stripped gravity map from the Bouguer gravity
map in the TB. The Bouguer gravity map was compiled from
Bouguer gravity anomalies rather than gravity disturbances
(c.f. Vajda et al. 2006, 2007), since the geophysical indirect
effect (e.g. Vajda et al. 2006; Vajda & Pánisová 2007) is
negligible on the regional scale of the TB from the viewpoint
of our study and interpretation (c.f. Vajda & Pánisová 2007).
Stripping is often applied in geophysical studies, on global
or regional scale, to unmask the signal of unknown sources,
when the signal of known sources/structures can be computed
(e.g. Vajda et al. 2008; Tenzer et al. 2009, 2012a,b). Strip-
ping is particularly useful in geophysical and geological in-
vestigations of the basement and the deep-seated structure
beneath sedimentary basins (e.g. Bielik 1988; Bielik et al.
Fig. 5. Alternative two density models of the TB sedimentary fill defined on the basis of the results published in Eliáš & Uhmann (1968),
Šefara et al. (1987), Panáček et al. (1991), Bielik et al. (2009), Grinč et al. (2010) and Krajňák et al. (2012).
2005; Alasonati Tašárová et al. 2009; Bielik et al. 2013). The
3D gravity effect of the sedimentary fill of the TB was com-
puted by the GMT-AUTO software package (Starostenko et
al. 1997, 2011; Starostenko & Legostaeva 1998, 2006).
The principle of the method is that the geological struc-
tures are divided into horizontally and vertically stratified
media with an arbitrary density distribution in each layer.
The geological structure is approximated by inhomoge-
neous, arbitrarily truncated vertical rectangular prisms. An
automatization of the input of initial graphic information
(maps) by digitization is also very useful in the process of
the modelling (Legostaeva 2000). The gravity effect of three
dimensional bodies can be determined not only by constant
densities, but also by different densities on the upper and
lower limits having a linear or exponential vertical transition.
After the gravity effect calculation of the TB sedimentary fill
the resultant stripped gravity map is calculated by subtraction
of this effect from the complete Bouguer anomaly map.
Input data
Input data for the calculation of the stripped gravity map
in the TB comprise the map of complete Bouguer gravity
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anomalies (Michalík & Kučera in Bielik et al. 2009), the
map of the pre-Tertiary basement depth, and the density
model of the sedimentary fill.
The complete Bouguer gravity anomalies are based on
gravimetric measurements on a scale of 1 : 25,000. As the
gravity data in the studied area have been acquired and pro-
cessed by different approaches and in different time periods it
was necessary to unify all data by re-calculations of the terrain
corrections T1, T2 a T3 in all measured points (Michalík &
Kučera in Bielik et al. 2007). The Bouguer gravity anomaly
was calculated using the WGS84 ellipsoidal normal gravity
formula, height correction by a Taylor series expansion of
normal gravity up to 2nd order in geometric flattening and
height and Spherical Bouguer gravity slab with radius
166.7 km (Bielik et al. 2006). The Bouguer gravity anomaly,
the terrain correction and the Bullard term were calculated for
the reduction density of 2.67 g/cm
3
(2670 kg/m
3
). The mean
error of the gravity differences is less than ± 0.5 mGal. The
complete Bouguer anomalies of the TB (Fig. 3) are character-
ized by a local gravity low (amplitude of —42 mGal) with sig-
nificant gravity gradients on its margins. The gravity low
coincides very well with the surface of the TB. The relative
amplitude of this gravity low is about —13 mGal. The TB
Fig. 6. Gravity effect for the first (a) and second (b) density model. MS – Martin sub-basin, SPS – Slovenské Právno sub-basin,
NDS – Nový Dvor sub-basin.
gravity low can be divided into three gravity sub-lows (Grinč
et al. 2010; Krajňák et al. 2012): the Martin gravity low (MGL),
the Slovenské Pravno gravity low (SPGL) and the Nový Dvor
gravity low (NDGL) (Fig. 3). From the regional gravity field
point of view it is possible to observe that the negative gravity
field gradually increases from the southwest to the northeast.
The second set of input data is represented by the thickness
of the Tertiary sediments (Fig. 4). The first map of this type
was calculated by Kučera & Michalík (in Bielik et al. 2009).
This was solved as a 3D inverse gravimetric problem based on
Pohánka’s formula, which allows us to calculate the gravita-
tional effect of a polyhedral prism with a linear density transi-
tion with depth (Pohánka 1988). Barry’s algorithm (1991) was
used for the 3D model construction here. In this map three
main sub-basins can be distinguished: the Martin Sub-basin
(MS), the Slovenské Právno Sub-basin (SPS) and the Nový
Dvor Sub-basin (NDS) (Fig. 4). Note that the observed grav-
ity field of the TB (Fig. 3) correlates expressly with this
map. Spatially the largest MS correlates with the largest rela-
tive gravity sub-low in the complete Bouguer gravity map.
The SPS and NDS are the deepest depressions – more than
3000 m below sea level (b.s.l.) in the TB (Fig. 4). In the MS
several lows with depths exceeding 2000 m b.s.l. can be
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found. The SPS and NDS are separated from the MS by the
central basin elevation clearly visible in the area of Kláštor
pod Znievom and Moškovec, which reaches up to 500 m a.s.l.
Another remarkable feature of the pre-Tertiary basement
depth is located in the vicinity of Turany (north-eastern part of
the TB). In this area the relief of the pre-Tertiary basement is
formed by a plateau with an altitude around 350 m a.s.l. The
boundary between the basin and the surrounding mountain
ranges appears at about 500 m a.s.l.
Density models
The study and analysis of the density measurements of the
rocks coming from drill cores of the boreholes GT-5, GT-11,
GT-12, ZGT-3 and GHŠ-1 (Panáček et al. 1991) and results
related to the density values of the sedimentary fill in the TB
(Eliáš & Uhmann 1968; Šefara et al. 1987; Bielik et al. 2009;
Grinč et al. 2010; Krajňák et al. 2012) show that rock densi-
ties vary in a wide interval vertically as well as horizontally.
Therefore, the determination of simple average densities for
the sedimentary fill in the TB is very complicated. To assess
how big is the dependence of the gravity effect of the sedi-
mentary fill on its densities, two different density models
were constructed (Fig. 5). In these models the TB was divided
into vertical rectangular prisms with a linear increase of den-
sity with depth. The average density contrasts applied in the
calculations of the gravity effects of the models were relative
to a reference density of 2.67 g/cm
3
, which represents the av-
erage density of pre-Tertiary basement rocks.
In the first model (Fig. 5a) the TB was divided into two
prisms, where the southern part consists of Neogene volca-
nic complexes with an average density of 2.33 g/cm
3
(ac-
cording to boreholes GHŠ-1 – Panáček et al. 1991). This
section differs from the northern part not only by the pres-
ence of the volcano-sedimentary complex, but also by the
low average density of the overlying the Neogene sedimen-
tary layer (2.04 g/cm
3
). The density variation in the northern
part (2.40—2.50 g/cm
3
) is based on the overall average densi-
ties of the Neogene and Paleogene sediments from boreholes
GT-5, GT-11, GT-12, ZGT-3 (Panáček et al. 1991). In the
second density model (Fig. 5b), the average densities of the
basin’s southern part are slightly lower (2.00—2.30 g/cm
3
) than
in the first model (Fig. 5a). The northern part was divided into
two parts, because the eastern part is mostly formed by Pa-
leogene sediments. In its western part the defined average
densities represent the Neogene and Paleogene extreme val-
ues (2.00—2.50 g/cm
3
) measured in boreholes GT-5, GT-11,
GT-12, and ZGT-3. Average densities of the Paleogene sedi-
Fig. 7. Stripped gravity map for the first (a) and second (b) density model.
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ments forming the eastern basin part were defined based on
the results of Grinč et al. (2010) and Krajňák et al. (2012).
Results
The gravity effects of two different density models were
calculated by the GMT-AUTO software package on the basis
of the 3D gravity modelling method. The analysis of the
gravity effect maps (Fig. 6) showed clearly that the character
of the gravity field is very similar for each model. They vary
only in the amplitudes of the gravity anomalies. These are
smaller for the first model (Fig. 6a), but higher for the sec-
ond one (Fig. 6b). Note that the gravity effects in the MS and
SPS are —6 mGal (—12 mGal) for the first (second) density
model. The amplitudes of the gravity effect in the NDS are
almost the same (about —11 mGal) in both density models.
The stripped gravity maps were determined for both sedi-
mentary density models (Fig. 7a,b) by subtracting their grav-
ity effects from the complete Bouguer anomalies (Fig. 3). It
is possible to see that the character of the individual gravity
fields is very similar. Looking at more detail on the stripped
gravity maps, we can recognize immediately that their gravity
Fig. 8. The resultant stripped gravity map for the first (a) and second (b) density model corrected by regional gravity anomalies, which
were calculated for a radius of 5000 m (Bielik et al. 2007).
fields are affected significantly by the regional trend. This
trend has a decreasing tendency in the direction from SW to
NE. This regional trend reflects the gravity effects of the
deep-seated crustal inhomogeneities (mostly the Moho grav-
ity effect (Grad et al. 2009; Csicsay 2010)). As the regional
gravity trend masks the residual gravity field, which is the
fundamental goal of our study here, aiming at interpretation
of the pre-Tertiary basement of the sedimentary basin, it is
necessary to remove it from the stripped gravity maps. The
same approach has also been applied in the interpretation of
gravity field in Israel (Bielik et al. 2013). For the elimination
of the regional gravity trend we used the map of regional
gravity anomalies in the wider area of the TB, which was
calculated for a radius of 5000 m (Bielik et al. 2007). The re-
sultant trend-corrected stripped gravity maps for both density
models are presented in Fig. 8a,b.
Our interpretation of the pre-Tertiary basement structure
of the TB is based on the corrected stripped gravity maps
(Fig. 8). But for this interpretation we used other known geo-
logical and geophysical constrains, which are represented by
drill data (e.g. Gašparik et al. 1974, 1991, 1995; Fendek et
al. 1990; Havrila 1997), geophysical (e.g. Zbořil et al. 1975,
1985; Hrdlička et al. 1983; Šefara et al. 1987; Panáček et al.
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1991) and geological (e.g. Gašparik et al. 1995; Rakús 1999;
Kováč et al. 2011) data, results and knowledge. A sketch of
the pre-Tertiary basement structure of the TB is shown in
Fig. 10. The TB can be separated into northern and southern
parts. The NW-SE gravity gradient in the basin’s central part
(near Kláštor pod Znievom) is the boundary between them.
Taking into account the gravity pattern of the corrected
stripped gravity maps, boreholes data (e.g. ZGT-3, GT-5,
GT-11, GT-12, BJ-2) and the geology of the surrounding
tectonic units of the TB, the northern part of the pre-Tertiary
basement was additionally split into two sub-parts (do-
mains). The first is characterized by the Hercynian crystal-
line basement of the Tatric Unit. In the second the basement
consists mostly of the Mesozoic complexes of the Fatric
Nappe, the thickness of which decreases eastward. In the
first domain we also recognize another interesting part of the
pre-Tertiary basement. This area has a prolonged shape in
the NE-SW direction, being located to the west of the towns
of Martin and Vrútky. This anomalous gravity field zone
correlates very well with the Neogene alluvial Podstráne and
Bystrička Members (fans). It is believed that this type of
anomalous zone also forms the pre-Tertiary basement in a
wider region of Martin. The basement here is probably
formed by Mesozoic rocks (not of great thickness) and the
Tatric crystalline complex underneath.
Fig. 10. A sketch of the pre-Tertiary basement structure of the TB.
Fig. 9. The total horizontal gradient map.
The southern part of the pre-Tertiary basement of the TB is
formed mostly by Mesozoic complexes of the Hronic Nappe.
The continuation of the gravity high to the SE from the area
of borehole GHŠ-1, where the Kremnické vrchy Mts extend
on the surface, indicate that the Hronic Nappe forms the bed-
rock of this volcano-sedimentary complex. The significant
gravity low located in the south-eastern part of the area re-
flects the center of the Kremnické vrchy Mts. In the area of
the surface Neogene alluvial Budiš Member (fan) outcrop
(Kováč et al. 2011) we discover an anomalous gravity zone,
in which the basement probably consists of the Hronic
Nappe of prevailing dolomite composition.
The resultant stripped gravity maps have also proven to be
very useful for the interpretation of faults, or fault systems,
in the study area. In the image of the gravity field the faults
are characterized by the maxima of horizontal gradients. For
this reason, we evaluated the map of total horizontal gradi-
ents (Fig. 9) using the regularized (smoothed) derivatives in
the Fourier domain, selecting the optimum regularization
(low-pass filter) parameter by means of the C-norm func-
tions analysis (Pašteka et al. 2009, 2012). In the TB (Figs. 9
and 10) we found the faults and fault systems with prevailing
NNE-SSW and NW-SE directions. The analysis of the faults
shows clearly that the contact of the TB with the Malá Fatra
Mts and the Ve ká Fatra Mts is tectonic. The gravity pattern
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suggests that the Blatnica fault should be the south-western-
most boundary of the area, in which the Paleogene post-
nappe sediments are a part of the Tertiary sedimentary basin
fill. In the future we would like to verify the interpreted faults
in the TB by incorporating also geoelectrical (e.g. Putiška et
al. 2012a,b) and radiometric (e.g. Mojzeš et al. 2006; Marko
et al. 2010) methods and observations.
Discussion and conclusions
Detailed analysis of densities of rocks forming not only the
Tertiary sedimentary fill of the Turiec Basin, but also the pre-
Tertiary surrounding tectonic units shows that in general the
average densities vary only a little. This applies specifically to
the densities of rocks that are part of the Hronic and Fatric
Units. The density differences between the Tatric crystalline
complexes and the Mesosoic complexes are also inperceptible.
Another element that is very important for the quality of
the resultant stripped gravity map is the existing lack of
knowledge on the course of the boundary between the Neo-
gene and Paleogene layers in the Turiec Basin. The local
gravity low located westward of the village of Belá indicates
that the gravity effect of the sedimentary fill here is probably
underestimated.
Nevertheless, we think that even if the results of the strip-
ping gravity method are, by definition, not unique, the re-
sults presented in the paper are important and valuable at this
stage of research in the Turiec Basin. The results show that
the applied method is very useful for investigating the struc-
ture, composition and tectonics of the basements of Tertiary
depressions in the Western Carpathians.
Acknowledgments: The authors are grateful for the support of
the Slovak Grant Agency VEGA, under grants No. 1/0095/12,
2/0067/12 and 1/0587/11. This work was also supported by
the Slovak Research and Development Agency APVV under
Grants No. APVV-0194-10, APVV-0724-11, APVV-0099-11
and SK-FR-0016-11. We would like to thank R. Pašteka for
his help in calculation of the map of total horizontal gravity
gradients. Our thanks also go to the two anonymous review-
ers for their thoughtful comments that helped to consider-
ably improve the manuscript.
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