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Transcript of Static stress changes associated with normal faulting earthquakes in South Balkan area
ORIGINAL PAPER
Static stress changes associated with normal faulting earthquakesin South Balkan area
E. Papadimitriou Æ V. Karakostas Æ M. Tranos ÆB. Ranguelov Æ D. Gospodinov
Received: 7 April 2006 / Accepted: 20 October 2006� Springer-Verlag 2006
Abstract Activation of major faults in Bulgaria and
northern Greece presents significant seismic hazard
because of their proximity to populated centers. The
long recurrence intervals, of the order of several hun-
dred years as suggested by previous investigations,
imply that the twentieth century activation along the
southern boundary of the sub-Balkan graben system, is
probably associated with stress transfer among neigh-
bouring faults or fault segments. Fault interaction is
investigated through elastic stress transfer among
strong main shocks (M ‡ 6.0), and in three cases their
foreshocks, which ruptured distinct or adjacent normal
fault segments. We compute stress perturbations
caused by earthquake dislocations in a homogeneous
half-space. The stress change calculations were per-
formed for faults of strike, dip, and rake appropriate to
the strong events. We explore the interaction between
normal faults in the study area by resolving changes of
Coulomb failure function (DCFF) since 1904 and hence
the evolution of the stress field in the area during the
last 100 years. Coulomb stress changes were calculated
assuming that earthquakes can be modeled as static
dislocations in an elastic half-space, and taking into
account both the coseismic slip in strong earthquakes
and the slow tectonic stress buildup associated with
major fault segments. We evaluate if these stress
changes brought a given strong earthquake closer to, or
sent it farther from, failure. Our modeling results show
that the generation of each strong event enhanced the
Coulomb stress on along-strike neighbors and reduced
the stress on parallel normal faults. We extend the
stress calculations up to present and provide an
assessment for future seismic hazard by identifying
possible sites of impending strong earthquakes.
Keywords Coulomb stress � Foreshock—main shock
triggering � Greece and Bulgaria
Introduction
The Krupnik–Kresna, SW Bulgaria, earthquake of
April 1904, with a reported magnitude of Ms7.8
(Christoskov and Grigorova 1968), was one of the
strongest events in the eastern Mediterranean region,
causing extensive damage in a broad area that has been
added to the casualties caused by its stronger foreshock
(Ms7.2) that occurred just 23 min earlier. The next
‘‘twin’’ seismic excitation in Bulgaria took place in
1928 with a foreshock of M6.8 on 14 April, following by
E. Papadimitriou (&) � V. KarakostasGeophysics Department,Aristotle University of Thessaloniki,54124 Thessaloniki, Greecee-mail: [email protected]
V. Karakostase-mail: [email protected]
M. TranosGeology Department,Aristotle University of Thessaloniki,54124 Thessaloniki, Greecee-mail: [email protected]
B. Ranguelov � D. GospodinovGeophysical Institute, Bulgarian Academy of Sciences,Sofia, Bulgaria
B. Ranguelove-mail: [email protected]
D. Gospodinove-mail: [email protected]
123
Int J Earth Sci (Geol Rundsch)
DOI 10.1007/s00531-006-0139-x
its stronger mainshock (M7.0) just four days later (18
April). The 1931 Valandovo earthquake (M6.7), lo-
cated in the border area between northern Greece and
Former Yugoslavian Republic of Macedonia (FY-
ROM), was preceded by a strong foreshock (M6.0) one
day before, although there is no information on the
fault associated with this latter event. The Thessalo-
niki, northern Greece, earthquake of 20 June 1978
(M6.5) was preceded by a moderate (M5.8) event
originated in a neighbour fault segment on 23 May
1978. This repeated pair-event occurrences motivated
the investigation on possible foreshock—main shock
triggering.
Each earthquake alters the state of stress in its sur-
roundings, and it is natural to investigate the stress
changes associated with the first shock in each pair of
events in order to evaluate the potential for the con-
sequent event occurrence. Coulomb stress changes are
widely used in the literature to seek for fault interac-
tion between large magnitude earthquakes as well as to
model aftershock patterns and seismicity rate changes
over long-time windows (Harris 1998; Stein 1999
among others). Such studies exploring fault interaction
have been compiled for the broader Aegean area
during the last years for strike-slip events (Nalbant
et al. 1998; Papadimitriou and Sykes 2001; Papadimi-
triou 2002), normal faulting (Papadimitriou and
Karakostas 2003; Papadimitriou et al. 2005) as well as
between strike-slip and subduction earthquakes
(Messini et al. 2005). The results of the above studies
revealed that the vast majority of the earthquakes
whose triggering was inspected, were located inside
areas of positive static stress changes.
In the present study, we investigate the stress per-
turbations caused by the stronger earthquakes that
occurred in the area of Bulgaria and northern Greece
since 1904, when the first strong main shock of the
instrumental era occurred. This involves incorporation
of both tectonic loading and coseismic slip. Therefore,
the scope of this research is to define the geometry of
the faults associated with the occurrence of strong
earthquakes (M ‡ 6.0) and their kinematics, and then
by making use of this information to compute the static
stress changes for the whole study area. The computa-
tions reveal the stress interactions between the faults
and are important in determining where the next strong
events, outside the seismogenic volume, might occur.
The identification of currently being stress enhanced
sites contributes to the evaluation of future seismic
hazard in the study area. In the case of seismic excita-
tions involving multiple strong events in addition to the
main shock, like the earthquake pairs in our study area,
such investigation comprising determination of a strong
earthquake location and mechanism, together with the
knowledge of nearby major faults, may be useful in
post-event imminent hazard estimates.
Seismotectonic setting
North of the western continuation of the North Ana-
tolian Fault the Aegean extensional regime is present
in south Balkan region, namely central and southern
Bulgaria, northern Greece, FYROM and eastern
Albania (Fig. 1). The southern Balkan forms the
northern part of the Aegean extensional system al-
though deformation is not as great as in the southern
Aegean part (Burchfiel et al. 2000; Tranos et al. 2006).
To the east, the region of central Turkey lying between
the north and east Anatolian Faults is actively moving
westward relative to Eurasia as a coherent unit (Rei-
linger et al. 1997; McClusky et al. 2000). In western
Turkey this westward–southwestward moving region is
affected by extensional tectonics that is more prevalent
into the Aegean and mainland Greece due to the
north–south spreading of the Aegean microplate
(McKenzie 1972). This extension occurs as far north as
central Bulgaria. Recent investigations (Burchfiel et al.
2000; Nakov et al. 2001) suggest that the northern
boundary of the Aegean extensional regime passes
through north central Bulgaria, supporting McKenzie’s
interpretation based on limited seismological data that
a poorly defined crustal boundary passes through that
same region (McKenzie 1972).
The northern boundary of the Aegean extensional
system is defined by the sub-Balkan graben consisting
of nine east–west trending grabens located in central
Bulgaria that are complexly faulted with faults on
both flanks, but the main faults occur along the
northern side (Tzankov et al. 1996). Master graben-
forming faults are south dipping, low-angle normal
faults (dipping c. 30� or less) which have been cut by
steeper (60–80�) young to active normal faults at the
base of Stara Planina Mountains. Most of the active
and young faults, being normal, with a few of them
with strike-slip component, strike generally E-W,
WNW-ESE, NW-SE and rarely NE-SW, and they
bound basins of quaternary sedimentation (Nakov
et al. 2001). There is a continuous to discontinuous
line of faults that trend through central Bulgaria and
mostly lie along the south flank of the Stara Planina
Mountains. The faults bound the sub-Balkan graben
system for which Tzankov et al. (1996) suggested that
the faults dip gently south and have a long-term slip
rate of 1–2 mm/year. The faults continue both east to
the Black Sea, where they bound narrow and less
Int J Earth Sci (Geol Rundsch)
123
well-defined half grabens, and west, where they bound
the wide and well-developed Sofia graben. North of
this belt of faults there is little evidence for significant
faulting except for the Gorna Oriahovitsa fault zone
(Fig. 2) that exhibits earthquake activity but little
evidence for surface faulting. From field observations
the faults are mainly normal, with strikes indicating
general N-S extension within most of Bulgaria. Indi-
vidual faults have variations in strike that suggest
there may be strike-slip components on the NW- to
NE-striking faults. Most of the faults form linear
mountain fronts, indicating that most of the present
day topography of Bulgaria is the result of extensional
faulting.
The overall kinematic pattern shown by GPS results
confirm that the N-S to NNE-SSW extension present
within central and northwest Bulgaria marks the
northern boundary of the Aegean extensional region
(Kotzev et al. 2001) and that most of recent topogra-
phy of Bulgaria is of extensional origin, as suggested by
Zagorchev (1992), Tzankov et al. (1996), and Burchfiel
et al. (2000). Studies on earthquake focal mechanisms
Fig. 1 The broader southBalkan geographic regionwhere the study area isindicated by the rectangle.The dominant stress field isindicated by arrows. NAFNorth Anatolian Fault, NATNorth Aegean Trough
Fig. 2 Study area with themain fault systems (afterMatova et al. 1996; Tranoset al. 2003). Active faultsassociated with strong mainshocks occurring since thebeginning of the twentiethcentury are depicted by gray(this study) and the onesactivated in the past by whitecolor (Papazachos et al.2001). Fault plane solutionsare shown as lower-hemisphere equal areaprojections. The occurrencedate (year/month/date) ofeach event is annotated by thefocal spheres. SBGS sub-Balkan graben system
Int J Earth Sci (Geol Rundsch)
123
also indicate that active tectonism is dominated by
north–south extension, with rare indications of strike-
slip motion (Van Eck and Stoyanov 1996). The east–
west trending faults show only evidence for dip-slip
movement (Tranos et al. 2006) and there is little or no
field data to support strike-slip displacement on most
of them. Some faults of north–eastern and north–wes-
tern strike show evidence for strike-slip and others can
be interpreted to have a strike-slip component (Bur-
chfiel et al. 2000).
Figure 2 shows the major active normal fault zones
of the study area along with the fault segments that are
known to be associated with the occurrence of strong
earthquakes (Matova et al. 1996; Papazachos et al.
2001). Faults activated during the twentieth century,
the period that the present study covers, are shown in
gray, contradistinguishing them from the ones previ-
ously activated and shown in white. The main fault
zones (Matova et al. 1996; Tranos et al. 2003) are also
shown by thinner black lines. The fault plane solutions
of the respective main shocks are also shown by the
faults. The long-term slip rates on them were taken
equal to 1 mm/year following the above-mentioned
relevant results and more recent work of Kotzev et al.
(2006). Information on the fault location and geometry
is given in Table 1.
Stress evolutionary model
The changes in the stress field associated with coseis-
mic slips and long-term tectonic loading on the major
faults of the study area are calculated, following the
approach of Deng and Sykes (1997). The changes in
the Coulomb failure function (DCFF) depend on both
changes in shear stress, Ds, and normal stress, Dr[(modified from Scholz (1990)]:
DCFF ¼ Ds þ l0Dr ð1Þ
Here l¢ is the apparent coefficient of friction. Both Dsand Dr are calculated for the fault plane of the next
earthquake in the sequence of events, whose triggering
is inspected. The change in shear stress, Ds is positive
for increasing shear stress in the direction of relative
slip on the observing fault; Dr is positive for increasing
tensional normal stress. When compressional normal
stress on a fault plane decreases, the static friction
across the fault plane also decreases. Both positive Dsand Dr move a fault toward failure; negative Ds and Drmove it away from failure. A positive value of DCFF
for a particular fault denotes movement of that fault
toward failure (that is, the likelihood that it will rup-
ture in an earthquake is increased). The stress calcu-
lations are performed for an isotropic elastic half-space
(Erikson 1986; Okada 1992). The shear modulus and
Poisson’s ratio are fixed as 33 GPa and 0.25, respec-
tively. The selection of the value of the apparent
coefficient of friction, l¢ is based on previous results. A
value of l¢ equal to 0.4 was chosen and considered
sufficient throughout the calculations (King et al.
1994a; Nalbant et al. 1998).
Interseismic stress accumulation between large
events is modeled by ‘‘virtual negative displacements’’
along major faults in the entire region under study
using the best available information on long-term slip
Table 1 Major fault segments in the study area and long-term slip rates
Segmentnumber
Name Center Strike(deg)
Dip(deg)
Length(km)
Depth(km)
Faulttype
Slip Rate(mm/year)
Reference
Latitude(�N)
Longitude(�E)
1. Ierissos 40.53 23.97 93 53 50 0–15 N 1 12. Stivos W. 40.66 23.18 278 46 24 0–15 N 1 23. Stivos E. 40.66 23.35 265 40 10 0–15 N 1 24. Valandovo 41.30 22.50 270 53 38 0–15 N 1 15. Kocani 41.82 22.57 280 45 30 0–15 N 1 36. Krupnik W. 41.81 22.92 265 45 28 0–15 N 1 37. Krupnik E. 41.85 23.16 243 45 15 0–15 N 1 38. Kyustendil 42.33 22.73 256 53 60 0–15 N 1 19. Sofia 42.81 23.42 110 53 61 0–15 N 1 110. Chirpan 42.21 25.43 108 37 38 0–15 N 1 411. Popovitsa W. 42.28 24.70 300 67 21 0–15 N 1 412. Popovitsa E. 42.14 25.02 291 28 32 0–15 N 1 413. Gorna
Oriahovitsa43.13 25.75 280 37 22 0–15 N 1 5
1 Papazachos et al. (2001); 2 Tranos et al. (2003); 3 This study; 4 Bonchev and Bakalov (1928); 5 Alexiev and Georgiev (2002)
Int J Earth Sci (Geol Rundsch)
123
rates. These virtual dislocations are imposed on the
faults with sense of slip opposite to the observed slip.
The magnitude is incremented according to the long-
term slip rate of the fault. This virtual negative slip is
equivalent to constant positive slip extending from the
bottom of the seismogenic layer to infinite depth.
Hence, tectonically induced stress builds up in the
vicinity of faults during the time intervals between
earthquakes. All computed interseismic stress accu-
mulation is associated with the deformation caused by
the time-dependent virtual displacement on major
faults extending from the free surface up to the depth
at which earthquakes and brittle behavior cease
(~15 km).
Fault length and average displacement are two
parameters necessary for the model application. The
distribution of slip is actually non-uniform along a
fault, but we are interested in its average value, as
well as for a fault length expressing the main rupture.
For this reason, we used scaling laws suggested by
Papazachos et al. (2004) for continental dip slip faults,
in order to calculate both these values, as a function of
the magnitude, M, of the particular earthquake:
log L ¼ 0:50M � 1:86 ð2Þ
log u ¼ 0:72M � 2:82 ð3Þ
that give the fault length, L (in km), and average
displacement, u (in cm), as a function of the mainshock
moment magnitude, Mw. These values were checked
and found in agreement with Wells and Coppersmith
(1994). Information on the focal parameters of the
events taken into account in the stress calculation
model is given in Table 2.
Time-dependent stress field changes
Stress changes, i.e., values of DCFF, since 1904 are
computed at a depth of 8 km. This depth was chosen to
be several kilometers above the locking depth (15 km)
in the model. This is in agreement with King et al.
(1994b) who found that seismic slip peaks at mid-
depths in the seismogenic zone. The depths of the
larger (M ‡ 6.0) earthquakes that occurred in the
broader Aegean region, for which reliable determina-
tion of the focal parameters exists based either on
waveform inversion or recordings of local seismic
networks, range from 8 to 13 km (Papazachos et al.
1998). From studies of aftershock sequences for which
reliable determination of the aftershocks focal param-
eters also exists, it is evident that the majority of their
foci are located in a seismogenic layer extending from
a depth of 3 to 15 km, some reaching a depth of 20 km.
Considering all of the above information, the depth of
the seismogenic layer in our calculations is taken to be
in the range of 3–15 km for all of the events we mod-
eled. The rupture models are approximated by rect-
angular surfaces with two edges parallel to the Earth’s
surface. Although the rupture is more complicated and
slip varies along its segments, it is believed that the
above approximation is sufficient to identify areas of
stress changes, when they are computed for distances
far from the causative fault. In Fig. 3 pure green indi-
cates no significant change in CFF blue regions denote
negative changes in CFF and inferred decreased like-
lihood of fault rupture, and are called stress shadows
(Harris and Simpson 1993, 1996). Yellow–red regions
represent positive DCFF and increased likelihood of
fault rupture, and are called stress bright zones. Sha-
dow zones and bright zones are specific to strike, dip,
and rake of the fault that experiences the DCFF.
1904 Kresna earthquakes The earthquake of 4 April
1904 is one of the largest shallow twentieth century
events on land in the Aegean back arc region, which
caused extensive damage and the geological effects
included landslides, rock falls, liquefaction of the
ground, changes in water and stream flow, and the
surface faulting (Ambraseys 2001). Magnitude esti-
mates assigned an Ms as large as 7.8 for the main shock
and 7.2 for the foreshock, respectively (Christoskov
and Grigorova 1968), which considered exaggerated as
many earthquakes of that era. Pacheco and Sykes
(1992) give a seismic moment of 0.44·1027 dyn cm,
which fully agrees with Dineva et al. (2002) who sug-
gest Mw6.8 and 7.0, for the foreshock and mainshock,
respectively. Ambraseys (2001) suggests an Ms7.2 by
instrumental data reappraisal and 7.1 from reassess-
ment of the intensity distribution (Mo = 3.1·1026 and
8.1·1026 dyn cm, respectively). Papazachos and Papa-
zachou (2002) give a magnitude of 7.0 for the fore-
shock and of 7.3 for the mainshock, on the basis of
macroseismic observations. The main shock was pre-
ceded by 6 months foreshock sequence and followed
by aftershock activity that lasted until the beginning of
1907 (Dineva et al. 1998). After 1907, the seismic
activity in this area decreased [with only six moderate
events of M = 5.0–5.5 (Sokerova et al. 1989)].
Since neither the surface break nor the source faults
of the 1904 events were identified, there are contro-
versies on the geometry and kinematics of the related
rupture zone. In particular, Meyer et al. (2002) based
on morphotectonic indexes suggested that the 20 km
Int J Earth Sci (Geol Rundsch)
123
long NE–SW striking Krupnik fault should be associ-
ated with this seismic activity, among the three most
conspicuous ones in the same region, since Bansko–
Predela and Kocani faults are far from the epicentral
area. In an investigation on the static stress changes
calculations by Ganas et al. (2005) the faults that are
suggested as possible ones to accommodate the cosei-
smic slip is the eastern part of the Krupnik fault for the
first event, while the main shock is attributed to the
western part of the Bansko–Predela fault that was
evidently triggered by stress transfer.
An effort is made in the present paper to reexamine
the available information and use recent tectonic
analysis results in order to define the causative faults of
the two strong events. According to macroseismic
descriptions of Ambraseys (2001) and isoseismals of
Shebalin (1974) and Papazachos et al. (1997) the area
that has been more affected by both the foreshock and
mainshock is extended from Kocani that is located in
FYROM, up to Krupnik that is located in SW Bul-
garia. This rupture zone had a total length of almost
70 km. According to Ambraseys (2001), the region
mostly affected by the foreshock was in the moun-
tainous area in FYROM, where there is some evidence
that the first shock caused widespread, and in places
serious damage with casualties. The main shock added
to the damage, which now extended over an area of
about 40 km, which straddles the modern FYROM–
Bulgaria borders. The combined epicentral area gen-
erated by the foreshock and the main shock extends in
an almost E-W direction for about 65 km, from
Krupnik to near Kocani in FYROM, being consistent
with a 7.2 magnitude earthquake and a seismogenic
depth of 10 km.
Recent investigation on the SW Bulgaria terrain by
Tranos et al. (2006), indicated the existence of a major
E-W striking Kocani–Krupnik rupture zone dipping to
the north and having a length of more than 50 km, to
transect the region joining the Kocani and Krupnik
faults. This rupture zone with edges defined by the two
bends formed in the Kocani and Gradevo area is
considered as potentially associated with the 1904
earthquakes, since satisfies the above mentioned con-
ditions such as the length, the strike and the area of the
reported damage. The distribution of weak earth-
quakes in the area to the east of Krupnik fault shows a
seismogenic structure with a WSW-ENE strike,
revealing that this seismogenic structure has to be
prolonged at least 20 km to west–southwest on the
territory of FYROM.
Fault plane solutions for the 1904 events are not
available, and for this reason their rupture models
were derived from considering smaller magnitude
earthquakes focal mechanisms (Alexiev and Geor-
giev 2002), fault strike from structural analysis
mentioned above and considering a dip of 45�, which
is typical value for crustal normal faults. Additional
argument supporting the definition of the Kocani-
Krupnik rupture zone as related with the 1904
seismic sequence is that its almost E-W strike is
optimally oriented to the contemporary least princi-
pal stress axis (tension) governing the study area, as
recently defined by geodetic information (Kotzev
et al. 2001) and fault slip data analysis (Tranos et al.
2006).
Figure 3a shows the coseismic stress changes asso-
ciated with the 1904 foreshock for which a displace-
ment of 1.0 m and a fault length of 30 km were
Table 2 Rupture models for the earthquakes included in the stress calculation model
Date Time Latitude (u� N) Longitude (k� E) Depth (km) L (km) u (m) Mw Mechanism
Strike Dip Rake
1904, April 4 10:02:34 41.85 23.0 3–15 30 1.01 7.2 280 45 –82 16.8 2
1904, April 4 10:25:55 41.80 23.0 3–15 42 1.66 7.8 265 45 –93 17.0 27.0 37.2 4
1913, June 14 09:33:13 43.10 25.70 3–15 22 0.61 7.0 280 37 –84 56.4 2
1928, April 14 09:30:01 42.15 25.28 3–15 38 1.20 6.8 95 38 –90 61928, April 18 16:47:19 42.10 25.00 3–15 47 1.66 7.0 300 62 –65 61931, March 8 01:50:28 41.38 22.49 3–15 30 1.00 6.7 270 53 –93 41932, September 26 19:20:42 40.45 23.86 3–15 50 1.66 7.0 93 53 –93 41978, May 23 23:34:11 40.698 23.295 3–15 12 0.25 5.8 265 40 –83 71978, June 20 20:23:21 40.729 23.254 3–15 24 0.72 6.5 278 46 –70 7
1 Christoskov and Grigorova (1968); 2 Dineva et al. (1998); 3 Pacheco and Sykes (1992); 4 Papazachos and Papazachou (2002); 5Paskaleva et al. (1986); 6 Karakostas et al. (2006); 7 Soufleris and Stewart (1981)
Int J Earth Sci (Geol Rundsch)
123
computed. Rupture is taken to extend throughout the
seismogenic layer, i.e., from 3 to 15 km (Table 2). The
foreshock has enhanced the positive stress changes on
the Krupnik fault where the main shock occurred just
23 min later. The fault associated with the occurrence
of the main shock is approximated with two planar
orthogonal surfaces, following the descriptions of the
surface expressions and macroseismic descriptions,
giving a total fault length of 42 km (Table 2). Given its
faulting length, the seismogenic thickness, and the
seismic moment that corresponds to its magnitude, a
slip of 1.66 m was calculated. The old original
descriptions report that the fault vertical dislocations
reached up to 3–4 m that can be considered either as
primary coseismic displacements (Shanov et al. 1999)
or descriptions of landslides fissures extended to a total
length of 50–60 km (Ranguelov et al. 2001). Figure 3b
shows the state of DCFF just after the main shock
occurrence, where a broad bright zone appears cover-
ing the central part of Bulgaria and partially the fault
associated with the 1928 earthquakes.
1913, Gorna Oriahovitsa earthquake Fig. 3c shows
the accumulated static stress changes due to the
coseismic slip of the 1904 events and 9 years (1904–
1913) tectonic loading on the major faults of the study
area. This earthquake occurred at the northern part of
Bulgaria where E-W trending normal faults dip to the
north (Alexiev and Georgiev 2002), in an area of
positive DCFF due solely to the tectonic loading, be-
cause the 1904 events were too far to affect its loca-
tion. According to Matova et al. (1996) this area
belongs to the Fore-Balkan oblique (dextral-normal)
zone that dips 50–80�N. The main shock magnitude
has been redetermined as equal to 6.4 by Dineva
et al. (2002). Published fault plane solution is not
available for this event, for which a representative
normal faulting was considered (strike = 280�,
dip = 37� and rake = –84�, Papazachos and Papazac-
hou 2002) and fault length and coseismic slip, equal to
22 km and 0.60 m, respectively, were estimated from
relations (2) and (3).
1928 Chirpan and Plovdiv earthquakes In April
1928, the Upper Thracian Depression in southern
Bulgaria was struck by two destructive earthquakes
that occurred only 5 days apart associated with
faulting of total length equal to 54 km and maximal
height difference of 3.5 m, for which the performed
geodetic measurements show the entirely normal
faulting character (Yankov 1945). Information on
magnitudes and macroseismic intensities is given by
Christoskov (2000). During the generation of the
mainshock (M7.0), the ground rupture was extended
more to the west and turned to the northwest
(Papazachos and Papazachou 2002). Numerous after-
shocks were recorded during the following month, 14
of them with M ‡ 5.0 (van Eck and Stoyanov 1996).
The largest of those was an M5.7 earthquake on 25
April near the village of Gulubovo, ~50 km east of
the first shock (Vanneste et al. 2006). Isoseismals of
the three largest events of this seismic excitation are
constructed by Shebalin (1974) and Papazachos et al.
(1997). Karakostas et al. (2006) used information on
surface faulting (Bonchev and Bakalov 1928) and
distribution on surface deformation (Yankov 1945)
caused by the two events for the determination of the
slip distribution and confirmation of their faults
geometry.
Figure 3d shows the accumulated static stress chan-
ges just before the occurrence of the 1928 foreshock,
which is associated with the Chirpan fault located inside
a bright zone. Figure 3d differs from Fig. 3c in that 15
more years of tectonic loading is added in the stress
field calculation along with the coseismic slip of the
1913 earthquake. During the 14 April earthquake two
main parallel surface breaks formed, trending 100–
110�E with a distance between them equal to 15 km.
Both were reported to have a throw of 0.3–0.4 m, down
to the south and down to the north, respectively
(Bonchev and Bakalov 1928). The continuous south-
dipping rupture had a 38 km length and an average
displacement of 40 cm, reaching a maximum of 50 cm
in the middle (DIPOZE 1931). Vanneste et al. (2006)
suggest that only the north break is the direct expres-
sion at the surface of the fault that generated the 14
April earthquake, which is a long regional fault striking
E-W and dipping to the south. Dimitrov et al. (2006)
failed in determining the fault plane solution from the
collected available data of P first arrivals while Jackson
and McKenzie (1988) suggested a focal mechanism
from surface ruptures (strike = 105�, dip = 45�,
rake = –90�), being in excellent agreement with a re-
cently determined smaller magnitude one (09/09/1991,
strike = 108�, dip = 37�, rake = –99�) by Alexiev and
Georgiev (2002). In our study, we adopted the solution
suggested by Karakostas et al. (2006) since it better
satisfies the reported surface deformation (strike = 95�,
dip = 45�, rake = –90�).
The foreshock occurrence has enhanced the stress
field at the location of the mainshock, as it is re-
vealed by comparing Fig. 3d and e, evidencing the
main shock triggering. The 18 April earthquake
generated a 53-km long system of discontinuous
breaks, trending 120–160�E, with throws up to 1.5 m,
and in one place even up to 3.5 m, down to the
north. Fault plane solutions published for this event
from Glavcheva (1984), VanEck and Stoyanov
Int J Earth Sci (Geol Rundsch)
123
Fig. 3 Coulomb stress calculations for normal faults at a depthof 8.0 km. The stress pattern is calculated for the faulting type ofthe next large event in the sample. Changes are denoted by thecolor scale at bottom (in bars). The faults associated with theoccurrence of the events included in our evolutionary model aredepicted by black color. a Coseismic Coulomb stress changesassociated with the 1904 foreshock. b The stress field is invertedaccording to the fault plane solution of the 1904 main shock.c Stress evolution until just before the 1913 event. d State of
stress just before the occurrence of 1928 foreshock. e State ofDCFF before the 1928 mainshock. f Stress evolution just beforethe 1931 earthquake. g State of stress before the 1932 Ierissosevent. h Stress pattern just before the 23 May 1978 event. i TheDCFF just before the 1978 mainshock. j Coulomb stressevolution until 2005 for normal faulting. k Same as j, exceptl¢ = 0.2. l Same as j, except l¢ = 0.6
Int J Earth Sci (Geol Rundsch)
123
(1996), and Dimitrov and Ruegg (1994) indicated a
WNW-ESE oriented normal fault with a significant
dextral component. The data used for the solution
were only from remote stations, since there were no
data from proximate stations, and most probably, this
fact resulted in the solution of normal/strike-slip
character (Alexiev and Georgiev 1996). The more
recent determination, based on newly collected data
by Dimitrov et al. (2006), gives a northeast-dipping
fault in good agreement with the main surface rup-
Fig. 3 Continued.
Int J Earth Sci (Geol Rundsch)
123
ture (strike = 300�, dip = 67�, rake = –124�). This
solution involves a dextral strike-slip motion that
disagrees with the N-S extension prevailing in
the area and a NW-SE fault strike. A solution
determined for a smaller magnitude earthquake
(strike = 291�, dip = 28�, rake = –90�) by Alexiev and
Georgiev (2002) is in good agreement with the latter
solution as far as the fault strike concerns but
keeping the normal character of the faulting. Kara-
kostas et al. (2006) found that a fault with a mean
strike = 300�, dip = 62�, rake = –65� is the most
suitable to reproduce the observed deformation field
when comparing modeled displacements with those
obtained from geodetic measurements by Yankov
(1945). These fault parameters are in agreement with
both surface ruptures and the orientation of the axis
of maximum extension in the area (Kotzev et al.
2006) resulting to a left-lateral strike slip component
added to the normal faulting. In order to assign a
more detailed geometry we considered two segments
for the source approximation differing in strike.
1931 Valandovo earthquake The largest foreshock
(M6.0) occurred on 7 March, one day before the
mainshock (Papazachos and Papazachou 2002). Dine-
va et al. (1998) refer on both strong events and on the
aftershock sequence lasting until 1932, noting the lack
of historical information on reactivation of the area in
the past. Since there is no other source of information
for double event and faulting descriptions, we consid-
ered only the mainshock in our evolutionary model,
keeping in mind this ‘‘twin’’ occurrence of strong
earthquakes in our study area. It means that, like in the
previous cases a strong but smaller magnitude earth-
quake triggers the neighbor fault segment where the
stronger mainshock occurred.
Figure 3f shows the evolved stress field before the
occurrence of this event, computed according to its
fault plane solution (strike = 270�, dip = 53�, rake =
Fig. 4 Accumulated static stress changes associated with thetectonic loading on the major faults and the coseismic slip of theearthquakes taken into account in the stress evolutionary model,resolved onto the rupture plane of the next strong event.Contour lines are accompanied with corresponding values ofstress changes in bars. Rectangles denote the rupture areas,
considered as rectangular surfaces with two edges parallel to theEarth’s surface, for a The 1904 Kresna main shock. b The 1913Gorna Oriahovitsa event. c The 1928 Chirpan foreshock. d The1928 Plovdiv mainshock. e The 1931 Valandovo earthquake.f The Hierissos earthquake. g The 1978 Thessaloniki foreshock.h The 1978 Thessaloniki main shock
Int J Earth Sci (Geol Rundsch)
123
–93�). A very small bright zone started to be created at
the western part of its associated fault, meaning that
the 27 years (1904–1931) tectonic loading was not en-
ough to obliterate the stress shadow created by the
1904 coseismic slips, revealing that these two parallel
normal fault zones were inactive for much longer time
to allow strain accumulation and lack of stress shad-
ows.
1932 Ierissos earthquake Fig. 3g shows the accumu-
lated stress changes just before this event, calculated
for its fault plane solution (strike = 93�, dip = 53�,
rake = –93�). It is associated with the WNW-ESE
Stratoni fault in the east part of the Chalkidiki penin-
sula (Pavlides and Tranos 1991), which is located inside
an area of positive DCFF, due solely to the tectonic
loading since this fault is located far from the past
ruptures and it is not affected by their coseismic slip.
Its coseismic slip resulted in the creation of stress-en-
hanced areas at the location of the 1978 earthquakes
(Fig. 3h).
1978 Thessaloniki earthquakes Triggering of the
foreshock in the main shock occurrence has been evi-
denced by Tranos et al. (2003), their approach being
incorporated in the present study. The 23 May 1978
foreshock (M5.8), with a fault length of 11 km in full
agreement with the total length of the ground ruptures
associated with this event aligned along the Geraka-
rou–Stivos fault and the aftershock distribution, cre-
ated bright zones located along the main fault zone
both to the west and east of its rupture. The main shock
(M = 6.5) occurred in the region where positive chan-
ges in DCFF had the largest values, showing that the
foreshock enhanced stress and brought the adjacent
fault segment closer to failure (Fig. 3i).
Accumulated stress changes The evolved stress field
due to the long term tectonic loading on the major
faults in our study area and the coseismic slips of all
strong events that occurred in Bulgaria and northern
Greece since 1904 up to date and described above, is
shown in Fig. 3j. This figure evidences that the large
part of the study area is located inside stress shadows.
Since the long-term slip rates are assigned low values,
as geodetic information and infrequent occurrence of
strong events manifest, it is derived that in the near
future it is not expected that the stress shadows will be
eroded in many places.
Testing the values of l¢ A lower apparent coefficient
of friction (l¢ = 0.2) is used in Fig. 3k. The stress pat-
tern corresponding to the lower l¢ (= 0.2) is very sim-
ilar to that depicted in Fig. 3j, which was calculated
with a higher l¢–value (= 0.4). Fig. 3l shows the stress
pattern calculated for a higher apparent coefficient of
friction (l¢ = 0.6). The resulting pattern remains also
unaffected, without allowing the discrimination of the
most proper value of l¢, in accordance with previous
investigators as mentioned above. Therefore, the value
of the apparent coefficient of friction selected and used
is suitable for the calculations performed in the present
study.
In order to examine the effect of the evolutionary
model on the incoming ruptures, the cumulative static
stress changes were calculated onto the fault plane of
each event, just before its occurrence, and shown in
Fig. 4. Although precise hypocenter location or details
about rupture initiation are not available in our case,
and in this case it is not feasible to correlate them with
the position of the maximum positive DCFF, it is evi-
dent in all cases except one (the case of 1931 Val-
andovo earthquake, Fig. 4e) that the assumed rupture
surfaces are inside stress enhanced areas. Even in the
exception mentioned above, the stress shadow started
to be reduced in a small area at the western part of the
assumed rupture. We may with caution make the
speculation here, that the strong foreshock of this
seismic sequence probably took place onto this area
and that the stress changes resulted after its occurrence
brought closer to failure the 1931 main shock.
Stress transfer by foreshocks to the future rupture
zone was exhaustively investigated in the case of Loma
Prieta earthquake (Perfettini et al. 1999). Although
two moderate events that occurred only 11 km from
the main shock hypocenter did not bring the future
rupture zone closer to Coulomb failure, they reduced
the normal stress onto the fault plane at the site where
the greatest slip subsequently occurred in the Loma
Prieta earthquake. It is then suggested that these
foreshocks are more likely to have influenced the slip
distribution on the main shock fault. In the present
study, details on the slip distribution are not known
and therefore such correlation is not feasible. Never-
theless, the foreshocks of the 1904, 1928 and 1978
probably brought closer to failure their counterpart
main shock, as it is evidenced by the resulted positive
Coulomb stress changes (‡1 bar in all cases) on the
future rupture (Fig. 4a, d, h, respectively).
Discussion and conclusions
It is now widely accepted that there is a causal relation
between the static Coulomb stress perturbations
resulting from earthquake slip and the triggering of
subsequent events. Studies on earthquake triggering up
to now primarily concern main shock–main shock and
main shock–aftershock interaction through the calcu-
lations of Coulomb stress changes. The present study
Int J Earth Sci (Geol Rundsch)
123
evidenced the triggering in foreshock–main shock case.
The short-term influence of stress perturbations caused
by the strong foreshocks in three cases (1904, 1928 and
1978 seismic excitations) is obvious. Investigation was
performed aiming in understanding the interaction of
stresses and earthquakes in the study area by resolving
the stress tensors for preferred rupture type following
Deng and Sykes (1997). This is important in the for-
ward problem, where a ‘‘predictive’’ Coulomb stress
map might look quite different depending on assump-
tions about the orientation of the active structures.
Additionally, these maps are more reliable since they
comprise the tectonic loading, which in timescales of
decades play a major role in earthquake occurrence.
The stress field was calculated since 1904 for our
study area and shown in chronological order. The re-
sults shed light to the important topic of temporal
clustering and spatial migration of large events, sug-
gesting that stress interactions in this fault network had
an important role in determining which faults would
fail in the sequence of events. In our study area, al-
though the known active faults exhibit long recurrence
intervals, a burst in strong earthquake occurrence took
place in particular during 1904–1932. Previous investi-
gations for the explanation of triggered earthquakes
concern among others the rate change and spatial
distribution of large aftershocks that occurred outside
the classical aftershock zones (Parsons 2002). From
calculations of shear stress changes on subsequent
earthquake rupture planes it was derived that about
61% of earthquakes that occurred near the M ‡ 7.0
shocks are associated with calculated shear stress in-
creases, while ~39%, are associated with shear stress
decreases, the cutoff defined at |Ds| ‡ 0.001 MPa. The
triggered earthquakes obey an Omori law rate decay
that lasts between ~7–11 years after the main shock. In
our case, the locations of the next seismic excitation is
relatively far from the previous one and therefore
similar calculations showed negligible shear stress
changes on their rupture planes due to the previous
dislocations. Nevertheless, the Coulomb stress instead
of the shear stress changes, when incorporate tectonic
loading, give plausible explanation for the consequent
occurrences.
The most important issue addressed, the ‘‘strong
event pairs’’ that seems to be a quite characteristic
behavior in the study area, is perfectly explained by
stress transfer between adjacent fault segments. Laying
along strike these fault segments, the foreshock
occurrence triggered the occurrence of the consecutive
main shock. Immediately after the first strong event,
calculations of DCFF might have been useful in sug-
gesting the potential locations of their strong counter-
parts. This would have required a very quick
determination of the first event geometry and mecha-
nisms in the sequence of events; a goal now made
possible by modern seismograph networks both
regionally and worldwide. Also needed would be a
detailed knowledge of nearby faults large enough to
generate significant earthquakes.
Acknowledgments The stress tensors were calculated using theDIS3D code of S. Dunbar, which later improved by Erikson(1986) and the expressions of G. Converse. The GMT system(Wessel and Smith 1998) was used to plot the figures. The paperhas been greatly benefited by the revision of Martin Brady andan anonymous reviewer and the editorial assistance of Prof.Wolf-Christian Dullo. This study was supported by the bilateralresearch project between Greece and Bulgaria EPAN-M.4.3.6.1and BG-9/05. Geophysics Department contribution 681.
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