the relationship of geodetic strain to seismicity on the island arc of japan and turkey
DESCRIPTION
This is a proposal which I have submitted to the USGS Earthquake Hazard Program during my stay in Canada, but it did not work since I have been informed that the research area should be focussed over the San Andreas Fault.TRANSCRIPT
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C. Proposal Information Summary Attachment F 1. Regional Panel Destination: PT 2. Project Title: "The relationship of geodetic strain to seismicity in Japan and Turkey:
Collaborative Research with Geological Survey of Canada and the West Virginia University ".
Principal Investigator(s): Geological Survey of Canada Investigator participating in collaborative effort is
Dr. Ali O. Oncel National Earthquake Hazards Program, Geological Survey of Canada, Ottawa, Ontario., Canada K1A OY3
3. (Tel: (613) 9473520, Fax: (613) 992-8836, ([email protected]) West Virginia University Investigator participating in collaborative effort is
Dr. Thomas H. Wilson West Virginia University 419 White Hall, POB 6300 Department of Geology and Geography Morgantown, WV 26506 ((304) 293 5603 x4316), ((304) 293 6522), ([email protected])
4. Authorized Institutional (Name)(Institute/Organization (Street Address/P.O. Box) Name) Representative: (Organizational Unit) (City, State, Zip Code) (Telephone Number), (FAX Number), (E-mail Address) 5. Element Designation: Element II 6. Key Words: neotectonics, seismotectonics, seismic zonation 7. Amount Requested: $23,823 for fiscal year 2003 from WVU 8 Proposed Start Date: (October 1, 2002) 9. Proposed Duration: 12 months 10. New or Renewal Proposal; NEW 11. Active Earthquake-related Research (List project title and funding source for all active awards). Wilson currently has no funded earthquake–related research. 12. Has this proposal been submitted to any other agency for funding if so, which? Not submitted elsewhere 13. Proposal Abstract (See section E) 14. Proposal Budget Summary (See section F)
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Table of Contents
A. Application for Federal Assistance, Standard Form (SF) 424
B. Assurances and Certifications
C. Proposal Information Summary (Attachment F) 1
D. Table of Contents 2
E. Abstract 3
F. Proposal Budget (Attachment E) 4
G. Proposal Body 5
G1. Significance of the project 5
G2. Project Plan 5
Basic Hypothesis 5
Background 5
Conceptual Framework 6
Data Sources 8
Data Analysis Procedures 8
Research Tasks 10
Geological Survey of Canada 10
see Collaborative submission by Dr. Wilson, West
Virginia University
*
G3. Final report and dissemination 12
G4. Related efforts 12
References 15
G5. Project personnel 18
G6. Institutional qualifications 19
G7. Project management plan 19
G8. Current support and pending applications 20
G9. Continuation projects 20
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The relationship of geodetic strain to seismicity on the island arc of Japan and Turkey
Tom Wilson, Department of Geology and Geography, West Virginia University, Morgantown, WV, In
Collaboration with -
Dr. Ali Oncel, Earthquake Hazards Program, Geological Survey of Canada, Ottawa, Ontario., Canada.
K1A OY3.
E. Abstract
Research proposed herein is a collaborative effort between West Virginia University and the
Geological Survey of Canada. Our research effort is designed to evaluate the relationship of geodetic
strain to earthquake seismicity distribution, rate and magnitude. The basic hypothesis to be tested by this
research is whether the relationship between seismicity and geodetic strain will have variable, but
statistically significant correlation that will provide information useful to seismic hazard assessment. Our
study will be conducted using geodetic strain and seismicity data from Japan and Turkey. We seek to
determine whether significant correlations exist between the patterns of seismicity, magnitude and
earthquake frequency with geodetic strain and whether these relationships are indicative of increased
potential of earthquake hazard.
Strain release taking place in Japan and Turkey is an outgrowth of complex plate interactions.
Seismicity in Japan occurs along three convergent plate boundaries that include two TTT type Triple
Junctions, and complex transpressional interactions for example along the Nankai and Suruga troughs and
Kinki Triangle. In our study, we will use horizontal area strain data compiled by the Geographical
Survey Institute of Japan (see http://cais.gsi.go. jp/HIZUMI/hizumi7.html) for 110 year (1883-1994) and
10 year (1985-1994) time periods. Available strain data consist of area strain, major and minor axial
length and orientation, and maximum shear strain. Vertical uplift and subsidence over these time frames
have not been measured. Earthquake data used in this study comes from three earthquake databases that
include: 1) Usami's (1996) historical catalogue from 1600 to 1884, 2) Utsu's (1980) catalogue for the time
period between 1885 and 1925, 3) the instrumental catalogue compiled from the Japan Meteorological
Agency (JMA) data file for the time period between 1926 and 1997.
Data from Turkey consists of seismicity data from the Kandilli Observatory and Research
Institute (KOERI) covering the region between 23-31°E and 33-45°N. This data is discussed by Oncel
and Wilson (2002). The tectonic setting of this area is also quite diverse and includes a major strike-slip
zone (the Northern Anatolian Fault Zone), extensional complex, and a subduction zone. Detailed GPS
derived plate velocity measurements throughout the area are presented by McClusky et al. (2000).
We plan to correlate strain data with seismicity using local computations of Gutenberg-Richter b-
values, seismic activity rates (a-values) and generalized fractal dimensions (Dq) throughout Japan and
Turkey over comparable time intervals. The Gutenberg-Richter b-value is the slope of the frequency-
magnitude relationship and provides a relative measure of the likelihood of large and small magnitude
seismicity in a region. The activity rate, a, represents the intercept derived from the Gutenberg-Richter or
frequency-magnitude plot and describes the background levels of seismicity within an area. The
correlation between strain, seismicity and the fractal properties of epicenter distribution will be evaluated
locally throughout Japan and Turkey.
In summary, we will conduct an investigation into the uses of fractal analysis to characterize
complex properties and patterns of earthquake seismicity and to undertake direct comparison of
seismicity to strain and maximum magnitude variation. The correlation of strain () to seismicity (a, and
b-values) is the central issue addressed in this research proposal; however, we will also consider
interrelationships between these parameters and distributions of maximum magnitude seismicity.
Our research evaluates interrelationships between complex non-linear seismotectonic processes.
Quantification and analysis of these interrelationships will help identify and differentiate between normal
and abnormal conditions and thus provide information of value to seismic hazard assessment, not only in
Japan and Turkey, but also throughout earth's active tectonic regions.
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F: Proposed budget
Project Title: The relationship of geodetic strain to seismicity in Japan
and Turkey
Proposed Start Date: October 1, 2002
Principal Investigators: Dr.Ali Oncel, National Earthquake Hazards Program, Geological Survey of
Canada, 7 Observatory Crescent, Ottawa, K1a OY3 In Collaboration with Dr. Tom Wilson, Department
of Geology and Geography, West Virginia University, Morgantown, WV
Proposed Completion Date: Sept. 31st 2003.
Task I (Oncel) Year 1
1. Salary
Task I PI (Oncel, 3 summer months) $6400
2. Publication Charge
Task PI (at 23.9%) $2000
3. Supplies
Plotter paper $250
Laminate $100
Ink Jet/laser Cartridges $400
Report Prep. Supplies $175
Research Reports/maps/books $250
4. Travel
Task PI (conference) $3,000
5. Total Direct Costs $12,575
6. Overhead (46%) $1125
7/8. Total Cost to USGS for GSC $13,700
Budget Justification (to be modified)
1. Salary: Dr. Oncel will work on the project for 3 months full time during the summer of 2002/03
($2,133/month) and will cost share 70% ($3,436) of his time during the regular working year.
2. Publication Charge is paid for reprints and necessary books for study.
3. Supplies: Various supplies related to the plotting of maps, preparation of poster materials for a
professional meeting, report preparation materials, purchase of reference maps and books is requested to
assist in the preparation of quality professional presentations and research reports.
4. Travel: Dr. Oncel will attend at least one professional meeting of EGS and AGU to present the
research results. $3000 is requested for conference attendance. The balance will be obtained from
department and university grants.
5. Total Direct Costs: $12,575
6. Indirect Costs: GSC overhead is charged at the rate of 46% on all items with the exception of
equipment whose value exceeds $1000. Indirect costs are based on total direct cost minus $2000 for
computer equipment. Total Indirect Costs are $13,700
7/8. Total Project Cost: $13,700
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G. Proposal Body:
G1. Significance of the project
Objective:
The main objective of the proposed research effort is to evaluate the relationship of geodetic strain to
earthquake seismicity distribution, rate and magnitude.
Scientific Significance:
The scientific significance of this research is that its outgrowths provide information of value to
earthquake hazard assessment.
We will use fractal analysis to characterize complex properties and patterns of earthquake seismicity
and to undertake direct comparison of seismicity to strain and maximum magnitude variation. The
correlation of strain (horizontal crustal strains, plate velocity, and differential plate velocity) to seismicity
is the central issue addressed in this research proposal.
Our research evaluates interrelationships between complex non-linear seismotectonic processes.
Quantification and analysis of these interrelationships will help identify and differentiate between normal
and abnormal conditions and thus provide information of value to seismic hazard assessment, not only in
Japan and Turkey, but throughout earth's active tectonic regions.
G2. Project Plan
Basic Hypothesis
The basic hypothesis to be tested by this research is whether the relationship between seismicity and
geodetic strain will have variable, but statistically significant correlation that will provide information
useful to seismic hazard assessment.
Background
Tectonic Framework of the Study areas Our study will be conducted using geodetic strain, GPS plate velocity and seismicity data from
the Japan and Turkey. Strain release taking place along the length of the Japan Island Arc is an outgrowth
of complex plate interactions. The islands of Japan (Figure 1) are comprised of ancient crustal fragments,
accretionary complexes and suture zones whose formation spans the Phanerozoic and Proterozoic eons.
Transpressional plate convergence in the fore-arc region of southwestern Japan has produced strike slip
offsets through the system of complexes in the outer arc region along the Median Tectonic Line (MTL
Figures 1). The MTL lies along the northern boundary of the Nankai fore-arc sliver, which is driven
westward by oblique subduction of the Philippine Sea Plate beneath the Eurasian Plate in southwest Japan
(Figure 2) (Isozaki 1996). Movement along the MTL is predominantly experienced significant reverse
motion, at least during the Plio-Pleistocene (Tsukuda 1997) right-lateral strike-slip (Gutscher and
Lallemand, 1999) and is suggested to exceed 10 mm/yr by GPS; however quaternary dextral strike-slip
motion along MTL is widely believed to have occurred. The reverse component is southeast vergent
(Hashimoto et al., 2000). The 1995 Hyogo-ken Nanbu (M7.2) earthquake occurred along a northeast
trending strike-slip fault known as the Nojima fault that branches off the MTL and extends through the
island of Awaji to Kobe (Tadokoro et al., 1999; Kikuchi and Kanamori, 1996). Many of the active faults
in the Hyogo-ken Nanbu (Kobe) area have significant vertical displacement (Yokokura et al 1997).
Displacements along the Nojima fault have been clearly mapped on the island of Awaji. Mapped (1995?)
displacements reveal as much as 1.7 meters of right-lateral displacement along with a maximum of 1.3
meters of vertical displacement. Active fault zones extending inland to the northeast of Kobe and the area
north of the MTL through Lake Biwa to the Japan Sea form the Kinki Triangle (Figures 1). The Kinki
Triangle is defined by active strike slip faults along its northeast and northwest sides (Toda et al. 1998.).
North-south trending reverse faults are dominant within the triangle (Toda et al. 1998). The Kinki
Triangle in addition to the MTL are believed to, in part, accommodate shortening of the Eurasian plate
against the North American plate across the Itoigawa-Shizuoka Tectonic Line (ISTL) (Figures 1).
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Seismicity within the Kinki Triangle is believed to be interrelated to seismicity along the Nankai trough,
which, in turn is influenced by seismicity in the Fossa Magna and Sagami trough regions (Lu et al.,1999).
The ISTL is believed to be an incipient subduction zone (Nakamura 1983; Kobayashi 1983)
across which northeastern Japan is subducting beneath southwestern Japan. Recent excavation along the
ISTL reveals the extent and possible recurrence interval of large earthquakes occurring on individual
segments of the ISTL during the last 5,000 to 7,000 years (Okumura et al. 1994; Okumura 1997). A low
velocity zone observed in a seismic refraction profile across the ISTL (Ikami et al. 1986) coincides with a
southwest dipping low density zone inferred from gravity models along the profile (Wilson and Kato
1992 and 1995). A zone of seismicity in the back-arc area of northern Japan punctuated by recent large
earthquakes (M7.7 and M7.3 in 1983 and 1993, respectively), is suggested to be associated with the
northern extension of this subduction zone (Figure 1) along the western boundary of the North American
Plate (e.g. Shimokawa 1997) in northeastern Japan.
The slow convergence of the Eurasian Plate (3mm/yr) toward the North American Plate across the
ISTL is interrupted on its southern end by collision with the Philippine Sea Plate. The meeting point of
these three plates forms a TTT triple junction just north of Mt. Fuji. The Philippi
ne Sea Plate carries the Izu-Bonin arc northward in this area. This arc-arc collision produces the V-shaped
indentation known as the Kanto Syntaxis west of Tokyo (Isozaki 1996) (Figure 1). Paleomagnetic studies
of Late Miocene diorite bodies in the Kanto Mountains suggest that the syntaxis formed in the late
Miocene or earlier (Takahashi and Nomura 1988).
Considerable vertical movement has occurred throughout Japan during the Quaternary. A
maximum uplift of more than 1500 meters is observed in the Hida Mountains region of north central
Japan while more than 1000 meters of subsidence is observed in the Kanto Plain region near Tokyo. The
high relief regions of central Japan, as a whole, coincide with areas of high Quaternary uplift. The eastern
boundary of the high relief/high uplift region of central Japan coincides approximately with the Tanakura
Tectonic Line (TTL) in northeastern Japan. To the west, this high relief/uplift region is bounded by the
eastern margin of the Kinki Triangle. The active fault pattern on the other hand reveals an abrupt decrease
in fault density to the east across the ISTL (see Oncel, et al, 2001; Wilson et al., in review). The Kinki
Triangle to the west is also intensely faulted. However faulting associated with the triangle has not led to
significant topographic development within the triangle itself. This suggests that displacements along the
north-south trending reverse faults in the interior of the Kinki Triangle have not been extensive.
Conceptual Framework
Seismicity, epicenter distribution, magnitude and their interrelationships
Spatial patterns of earthquake distribution and temporal patterns of occurrence are demonstrated
to be fractal using the two-point correlation dimension Dc (e.g. Kagan and Knopoff, 1980; Sadowsky et
al., 1984). Similar observations have been made of laboratory scale seismicity associated with
microfracturing in rocks (Mogi, 1962; Scholz, 1968; Main et al., 1990, Xie., 1992) and the fractal
correlation dimension (Hirata et al., 1987).
The Gutenberg-Richter b-value has been suggested to represent a generalized "fractal dimension"
of earthquake magnitude distributions (Aki 1981; Turcotte 1992). Sornette et al. (1991) note that this
interpretation assumes a dislocation model for the seismic source and also requires a scale invariant
recurrence interval. The relationship has nevertheless been proven to apply on empirical grounds for
tensile fracture in the laboratory (Hatton, Main & Meredith, 1993). While the significance of the
relationship at larger scale remains in question, the relationship is implicitly assumed in much of the
recent literature on the non-linear dynamics of earthquakes (Main, 1996). However, the b-value has been
shown to vary systematically before and during major earthquakes (Smith, 1986) and in laboratory tests
under controlled conditions (Main et. al., 1990). This variation has been attributed to rock heterogeneity
(Mogi, 1962) or heterogeneous stress distribution (Scholz, 1968). The most recent studies (Main et al.,
1990) have extended and unified these observations into a single negative correlation between b and the
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degree of stress concentration measured by the relative stress intensity factor K/Kc, where Kc is the
fracture toughness.
Two hypotheses suggest that the slope (b) and intercept (a) derived from the Gutenberg-Richter
relation provide useful information about earthquake behavior and fault zone orientation (Jackson and
Kagan, 1999; Wiemer and Wyss, 1997). Jackson and Kagan (1999) suggested that the a-value or activity
rate maps the most likely locations of asperities (higher a-value), based on analysis of short term
seismicity in the NW Honshu region before the July 18, 1992 (Mw=6.9 earthquake) (see also Figure 5 of
Jackson and Kagan, 1999). Differences noted by Jackson and Kagan in terms of filling or unfilling the
regions with higher activity rates (a-value) indicates that research on earthquake forecasting requires
analysis of changes in b-value and clustering (D). Also, note that the epicentral location of the Izmit
earthquake (Mw=7.4) corresponds to a region associated with higher a-value and average b-value.
However, the probability of the Mw =7.4 earthquake predicted the Gutenberg-Richter relation is lower
than the actual observed rate of occurrence of similar magnitude events (see also Figure 4 b, c of Oncel
and Wyss).
Comparing the maps of activity rate (a-value) and mean magnitude (b-value) shows irregular
spatial patterns in the variation of b-value (Figure 4 of Wyss and Oncel, 2000). The comparison reveals
regions with higher seismic hazard based on the two different models: one based on variations in b-value
(Wiemer and Wyss, 1999) and the other on variations in the a-value (Jackson and Kagan, 1999).
A third hypothesis, proposed by Wyss et al., (2000b) and Oncel and Wyss (2000), unifies the
relationship between a and b. This approach estimates the minima in local recurrence times (TL), which
can be related directly to the local probability (PL=1/TL) of events having a given magnitude. The local
recurrence time is derived from information contained in the heterogeneous distribution of both
parameters a and b. The utility of this new measure (TL) was tested in Southern California (Wyss et al.,
2000a,b) and for the subduction plate boundary along the west coast of Mexico (Zuniga and Wyss, 1999).
Oncel and Wyss (2000) interpreted changes in the local minimum values of TL observed along the
western extent of the Northern Anatolian Fault Zone and suggested that the rupture during the Izmit
earthquake initiated at the edge of one asperity and stopped at another major asperity observed on the
western end of the NAFZ. In that case, TL for a main shock during the time period covered by the catalog
would be short (high a- and low b-value) (see also, Figure 4 of Oncel and Wyss, 2000).
A complete description of the fractal character of seismotectonic data requires more than one
fractal dimension or scaling exponent (Sornette, Vanneste & Sornette, 1991). Multifractals seem to
describe various aspects of non-linear dynamic systems better than mono-fractals. This is suggested based
on the existence of different subsets of the seismotectonic data related to conditions of random
multiplicative processes (Redner, 1990; Xu and Burton, 1999). Multifractals (Dq) generally reflect
different scale-invariant properties of earthquake processes for various values of q (=0,1,2,3,..), and need
not be equal to or even positively correlated with one another. For example, the capacity dimension, D0
(i.e., for q=0), estimated by box-counting methods (Feder, 1988), measures the space-filling properties of
a fracture set with respect to changes in grid-scale (Hirata, 1989a). The fractal relationship between the
characteristic linear dimension of faults and b-value (e.g. Turcotte 1989) provides a measure of the
relative proportion of large and small seismogenic faults (Aki, 1981; King, 1983) or cracks producing
acoustic emission (Main et al., 1990). The correlation dimension, Dc, (for q=2) (Grassberger and
Procaccia, 1983) measures the spacing or clustering properties of a set of points, and has also been
applied both to earthquake epicenters (Kagan and Knopoff, 1980; Hirata, 1989b; De Rubeis et al., 1993;
Barbano et al., 2000) and to the hypocenter distributions of acoustic emissions in laboratory experiments
(Hirata et al., 1987). Multifractal measures have been used to quantify the geometrical properties of
faults, fractures, earthquakes and mining-induced seismic activity (Gibovicz and Lasocki, 2001; Main,
1996).
Oncel and Wilson (in review) present a detailed evaluation of the differences between D2 and D15
in three major tectonic subdivisions of Turkey. The difference between D2 and D15 is statistically
significant and, on average, approximately 0.34. In some instances, D15 was found to have higher
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correlation to b-value and plate velocity, whereas in other instances, the opposite was observed. The
significance of the correlations also varied. In the zone of extension, for example, between the NAFZ and
Hellenic Arc tectonic subdivisions, D2 and D15 correlate positively with plate velocity (V) (with r of 0.52
and 0.61 respectively). The correlation of D15 to V was significant at the 0.03 level, whereas the
correlation of D2 to V was less significant with an level of 0.09.
Data Sources
Horizontal area strain data has been compiled by the Geographical Survey Institute of Japan (see
http://cais.gsi.go.jp/HIZUMI/hizumi7.html) into 110 year (1883-1994) and 10 year 1985-1994 time
periods. Available strain data consist of area strain, major and minor axial length and orientation, and
maximum shear strain. Vertical uplift and subsidence data over these time frames are not available
(Should be available?). Earthquake data used in this study comes from three earthquake databases that
include: 1) Usami's (1996) historical catalogue from 1600 to 1884, 2) Utsu's (1980) catalogue for the time
period between 1885 and 1925, 3) the instrumental catalogue compiled from the Japan Meteorological
Agency (JMA) data file for the time period between 1926 and 1997. We plan to correlate strain data with
seismicity using detailed computation of the Gutenberg-Richter a- and b-values and generalized fractal
dimension (Dq) throughout Japan for comparable time intervals. The Gutenberg-Richter b-value is the
slope of the frequency-magnitude relationship and provides a relative measure of the likelihood of large
and small magnitude seismicity in a region. The a-value is a measure of the activity rate and corresponds
to the intercept of the Gutenberg-Richter relationship (see Equation 1 below).The correlation between
strain, seismicity, and the fractal properties of epicenter distribution will be evaluated locally throughout
Japan.
Data Analysis Procedures
Seismic a-value and b-value: Estimates of a- and b-value in the Gutenberg-Richter (1954) relation:
log N=a-bM (1)
implies a fractal relation between frequency of occurrence and the radiated energy, seismic moment or
fault length, and is one of the most widely used statistical parameters to describe the size scaling
properties of seismicity. b-value are least biased when computed using the maximum likelihood method
(Aki, 1965),
b=2.303/(Mmean-Mmin+0.05) (2)
where Mmean is the mean magnitude of events M>Mmin that is the minimum magnitude of completeness in
the earthquake catalogue. Accurate estimates of local changes of Mmin can be made if relatively large
numbers (100 or so) of local observations are available for analysis (Wiemer and Wyss, 2000). Seismic
b-value is found to be negatively correlated to mean magnitude and mean crack length (Main et al.,
1992). Thus, space-time variability of b-value, is equivalent to the changes in mean magnitude of
earthquakes (Wyss and Wiemer, 2000, Oncel and Wyss, 2002), and can be affected by several physical
factors such as material heterogeneity, applied shear stress level (Mogi 1962; Scholz 1968; Wyss, 1973;
Urbancic et al., 1992), Coulomb failure stress changes (Wyss and Wiemer, 2000; Oncel and Wyss,
2000b), thermal gradient (Warren and Latham, 1970) and complexity changes in the fault segments
(Oncel et al., 2001). The value 0.05 is a correction constant that compensates for round off errors. The
95% confidence limits on the estimates of b are 1.96 /b n , where n is the number of earthquakes used
to make the estimate. This yields typical confidence limits of ± 0.1 to ±0.2 for a typical sample consisting
of n=100 earthquakes.
Regional scale estimates of b-value generally range between 0.5 and 1.6 (e.g., Wyss et al., 2000,
Oncel and Wyss, 2000b; Oncel et al., 2001,Oncel and Wilson, 2002); however, on average, the regional
9
scale estimates of b value are approximately equal to 1 (Frohlich and Davis, 1993; Kagan and Jackson,
1991). The a-value is directly computed as the intercept in the Gutenberg-Richter relationship.
Local Recurrence Time (TL) TL can be estimated from the fractal parameters of the frequency-magnitude distribution for different
target magnitudes, Mtarg; this is an important parameter that has been proven to be useful in earthquake
engineering design applications (Oncel and Kijko, 2000). The local recurrence time is defined as
TL(A) =T/(10(a-bMtarg)
) (3)
where T is the observation period. Mtarg, the target magnitude, is set approximately equal to the
historically largest observed magnitude. Using this target magnitude, it is possible to estimate the
probabilistic recurrence time associated with the occurrence of local asperities (e.g., Wyss et al., 2000a,b;
Oncel and Wyss, 2000a,b) since TL value is also equal to local probability (PL) given as (Wyss, 2002):
PL = 1/TL(A) (4)
The parameters PL and TL are proportional. A is the size of the region under investigation. It is bounded
by a fixed cylindrical volume with radius r dependiing on the objectives of the study. For example, a
radius r = 20 km was used in the study conducted by Oncel and Wyss (2000), while a 50 km radius was
used in the study conducted by Oncel et al. (2001) and Oncel and Wilson (2002).
The generalized fractal dimension Dq: Complex structures found in nature are often heterogeneous
(Mandelbrot, 1982). Earthquake magnitudes and hypocenter distribution are examples of complex natural
phenomena that have scale invariant structure. The evolution of ideas concerning the fractal
characterization of natural phenomena has been expanded to incorporate multiple measures of fractal
dimension or scaling exponent. Further explanation of the fractal character of seismological data requires
more than one fractal dimension. Sornette, et al. (1993), for example, suggest that a single fractal
dimension does not adequately describe geometrical irregularities since two objects with the same
monofractal dimension could have significantly different properties and most geodynamical processes
have varying densities (see also Baker and Golub, 1990, Pyrak-Nolte et al., 1992). The multifractal
concept is a natural extension of fractal analysis to the evaluation of heterogeneous fractals (Grasberger
1983, Hentschel and Procacia 1983, Mandelbrot 1982). More detailed information concerning the fractal
properties of complex variables is provided by the concept of generalized dimensions or multifractal
dimensions. Multifractals are used to describe a heterogeneous fractal set. Following Grasberger (1983)
and Hentschel and Procaccia (1983), the generalized dimension (Dq) is defined as follows:
0
log1
( 1) loglim
q
ii r
qr
Dq r
p
(5)
where p i is the probability that a box of size r will contain part of, one or more epicenters. There are
several methods that can be used to estimate the value of D q (Grasberger 1983; Hentschel and Procaccia
1983). However, in this project, we plan to use the generalized-correlation-integral method (e.g., Wang
and Lee, 1996; Hirata and Imoto 1991, Godano and Caruso, 1995; Godano et al., 1999). The discrete
form of the generalized correlation integral function is defined as:
10
)1/(1
1
1
1
)(1)(
qN
j
q
j
qN
rRN
NrC (6)
The angular distance r in degrees between two events is calculated using the formula for the angular
distance r in degrees between two events
))-(+(=r212121
-1 cossinsincoscoscos (7)
where (1, 1) and (2, 2) are the colatitudes () and longitudes () of the two events respectively
(Hirata, 1989, Oncel et al.,1995). Multifractal dimensions are defined by fitting a straight line to a plot of
log C (r) against log r (converted to a distance using 1°=111 km) as r tends to zero over a data range for
the first 1.5 orders of magnitude for which the data were considered reliable. The lower bound may be
determined by the epicentral resolution and the upper bound by the influence of the finite size of the study
zone (Kagan and Knopoff, 1980).
The spectrum of the generalized fractal dimensions (Dq , q = 0,1,2,....) of seismicity data
estimated from the linear portion of the log-log plot of Cq versus distance (see Figure 4), can be used to
evaluate the distribution for multifractal behavior. The better-known capacity, information and correlation
dimensions correspond to values of q = 0,1,2, respectively. The differences between heterogeneous and
homogeneous fractals are inferred from variations in Dq. It is the variability of Dq that identifies
multifractal behavior. In contrast, a monofractal is characterized by invariant Dq and is associated with
relatively homogeneous geometry at all scales. Multifractal exponents can be computed for both positive
to negative values of q, and are interpreted to characterize the degree of clustering from the most to the
least intensive, respectively. Fractal dimensions for negative q are believed to be most sensitive to the
spatial variations occurring in relatively sparse areas of the pattern; however, errors in the estimates of D
for negative q are large, so that D is highly variable and of questionable significance (Hirabayashi et al.,
1992; Eneva, 1996). Uncertainty in the positive q estimates of D, on the other hand, is found to be small
(Hirabayashi et al., 1992). D for positive q is suggested to be useful for differentiating between patterns
of seismicity observed in high strain regions (Cowie et al., 1995). Our study is restricted to computation
and analysis of fractal dimensions with positive q-values of 2 and 15. This approach is similar and an
extension to the approach followed in previous research, which showed that D does not change
significantly when q is greater than 15 (eg., Lei et al., 1993; Lei and Kusunose, 1999; Oncel et al., 1996 b
and c; Oncel and Wilson, 2002).
The general computation of distance r is given below:
r x x y y z zij i j i j i j ( ) ( ) ( )2 22
(1)
where ( xi , y i , z i ) and ( x j , y j , z j ) are the co-ordinates of two hypocentres. Here, z is
depth but generally excluded during the computation for its poor determination.
In my papers, r is computed as an angular distance the same as Hirata (1989 a, b) used for
considering the curvature of the space. To my opinion, equation 1 may be used especially
for the mapping of fractal dimension with fixed number or area since the space will not be
large or the equation 3 in my tectonophysics paper may be adjustment for including the z
easily. I think, Jeremy Henderson usually uses the equation one rather the equation used in
my papers.
I hope that this information would be fruitful for your fractal implementation.
11
The full range of multifractal components D2 through D15 in Figure 4 are shown. As q increases,
Dq decreases. D2, the correlation dimension, is sensitive to small changes in the density of points within
small subdivisions of the pattern. Increases in D2 imply a decreased tendency of epicenters to form
clusters (see Oncel et al, 1996 b and c). The higher order dimensions are increasingly sensitive to
heterogeneity in the distribution of points (Baker and Gollub 1990), since D15 is usually less than D2.
This suggests that seismicity is more clustered at larger scales (or in smaller areas).
Research Tasks
Geological Survey of Canada (Oncel) - Seismotectonic Analysis The discussion below refers to efforts
undertaken by both Dr. Oncel and Dr. Wilson, however, the reviewers should refer to the collaborative
efforts proposed by Dr. Wilson from the West Wirginia University. The efforts conducted by Dr.
Wilson will precede, parallel and compliment various research activities proposed in this task. Individual
tasks and timetable are presented below in section G7. The West Wirginia University research effort to be
undertaken by Dr. Wilson will evaluate interrelationships between seismotectonic variables and geodetic
strain. Dr. Wilson brings considerable expertise and many years of experience in the interrelationship
analysis of non-linear complex variables in seismotectonic systems.
Dr. Oncel will compile earthquake catalogues data available at JMA and present historical
catalogues of Utsu [1982] and Usami [1996]. The preliminary compilation of Long-Term Earhquakes
Japaneese Catalogues has also been undertaken and used in previous research (Oncel et al., 2001, Oncel
and Wilson, 2002, Kijko and Oncel, 2000).. Dr.Oncel will compute the seismotectonic variables (Dq, a-
and b-value, and m) locally along transects similar to those evaluated by Oncel et al (2001). Correlation
between strain data and In our previous work (Oncel, et al., 2001), we computed seismotectonic variables
every 20km along regional analysis lines examined earthquakes occurring in a cylindrical volume 50km
in radius and 20km deep.
Significant changes in strain rate appear in the preliminary comparisons between these two time
periods. Figure 2 presents a comparison of maximum area strain observed over the 110 and 10 time
periods. In this comparison strains observed over the 110 year time frame were divided by 11 to provide a
representative 10 year average strain. The average 10 year maximum shear strain was then subtracted
from the maximum shear strains measured in the recent 10 year time interval; the difference was
contoured (Figure 2). The comparison reveals local areas of significant increase in compressive (negative)
or extensional (positive) strain. In general the differences are greatest in the outer Japan Arc region (east
and southeast coasts. Significant concentrations of local differences between the average and recent strain
accumulation appear in east-central Japan.
Local patterns of GPS-derived crustal velocity also reveal interesting relationships between strain
and fractal measures of seismicity distribution. Seismicity and average velocites are shown for several
seismic zones along the Northern Anatolian Fault Zone (NAFZ) in the Turkey study area (Figure 3).
Seismic zones in the region south of the NAFZ (Figure 3) reveal unusual relationships between average
plate velocity and seismic b-value. In Figure 3 we see that plate velocity to the south in zones 5, 6, 7, and
8 are characterized by relatively constant velocity (approximately 23mm/year), whereas in regions to the
north (zones 1, 2, 3, and 4) the plate velocity decreases (roughly from 19mm/year to 11mm/year) to the
west. These observations suggest that the Anatolian plate south of the NAFZ moves somewhat like a
wrench focusing stress into the western reaches of the NAFZ. We also note that b-values generally drop
to the west, indicating that greater probability of larger magnitude seismicity is characteristic of the
western end of the NAFZ. The b-value drops to its lowest value in area 9 farthest to the west along the
NAFZ. The suggested relationship is supported, unfortunately, through recent catastrophic earthquakes
along the western end of the NAFZ. The a-values (Figure 3) also reveal interesting behavior in the
vicinity of the NAFZ. In the seismic zones to the south (zones 5, 6, 7, 8, and 9) a- and b-value are highly
correlated (r = 0.94). This is the general expectation: as the slope (b) increases, we would expect the
intercept (a) to increase. However, for the zones adjacent to the NAFZ (zones 1, 2, 3, 4, and 9), the
correlation between a and b is absent (r = 0.1). While b-value drops systematically from east to west
through these zones, the a-value drops and then rises again to the west.
12
Dr. Wilson will also help undertake analysis of the multifractal response of epicenter
distributions. As part of work we just completed in the eastern Mediterranean and western Turkey area
(Oncel and Wilson, in review) we noticed that the multifractal response (logCq(r) versus log(r)) is often
non-linear (see Figure 4). The response is marked more so by roughly linear segments broken by
relatively abrupt transitions similar to those observed by Scholz (1995), Oncel et al. (2001), and Wilson
(2001). As in the work of Oncel et al. (2001) and Wilson (2001) we may find that estimates at one scale
are more stable than those at other scales. In addition, the scale of the transition may also provide insights
into the distribution of seismicity. For example, Scholz (1995) notes that transitions observed along the
San Andreas fault correspond to the thickness of the seismogenic zone.
Wilson and Oncel will jointly evaluate the potential tectonic implications of correlation variations
along the length of the Japan Arc. The occurrence of positive, negative or zero correlation between b, a,
and horizontal area strain will provide insight into relationships between strain and seismicity. A variety
of different relationships seem likely. Positive correlation between b and strain could occur through
parallel increases, decreases or invariance of b and strain within an area. Relative increases of b are
associated with a relative decrease in the probability of larger magnitude earthquakes and vice versa. In
the case where increased strain is associated with an increase of b, the higher strain rate may be
accommodated by gradual strain release through numerous smaller magnitude ruptures. In this case, the
relationship of mutual variations in a-value will be useful. We must also distinguish between increasing
tensional strain which will yield increasingly positive area strain and increasing compressive strain which
will yield increasingly negative strains. Thus an increase in b would be expected if there is an increase of
strain from greater negative to lesser negative area strain. If the positive correlation arises from a
reduction of b and strain, the interpretation will also depend on whether the reduction in strain results
from increasingly negative strain or a drop in initially positive, extensional, strain. In the first case there is
added risk that larger magnitude seismicity may be imminent, in the second case, an asperity may exist. A
positive correlation will also result if the variations of b and strain remain invariant across an area. In that
case, nothing unusual can be inferred about the relationship. Negative correlations could arise
through increases of b associated with decreases in strain or vice versa. As in the case of positive
correlations, the interpretation varies. While b increases, a decrease in extensional strain (becoming less
positive and trending toward zero) would be consistent with our expectations. On the other hand, an
increase in b paralleled by an increasingly negative compressive strain would represent an anomalous
condition. The occurrence of negative or positive correlation is not, by itself, diagnostic of anomalous
conditions. In the case of a negative correlation, for example, the drop in b-value is associated with
increased extension or decreased compression. The later case is anomalous and suggests a possible
increased seismic hazard.
Areas that lack significant positive or negative correlation between strain and seismicity are likely
to occur in transitions from positive to negative correlation or in areas where the fluctuations of individual
parameters are random and statistically insignificant. Uncorrelated behavior may be due to processes
occurring at spatial scales beneath the resolution of our analysis.
The correlation of strain to seismicity (TL, and a- and b-values) is the central issue of this
research proposal; however, we will also consider interrelationships between b, Dq, strain and TL with
distribution of maximum magnitude seismicity. Our research focuses on the interrelationships between
complex variables. By considering the seismotectonic significance of observed relationships it may be
possible to identify useful measures of seismic hazard and potentially hazardous conditions.
G3. Final report and dissemination
The principal investigators will prepare reports for USGS as required. In addition, our work will be
prepared for presentation at the annual AGU meetings and the peer-reviewed international journal, the
Journal of Geophysical Research. This journal is a premier journal in the field of geophysics that reaches
a worldwide audience of individuals likely to benefit from this study.
G4. Related Efforts
13
Correlations of seismotectonic variables
Oncel, Wilson and Nishizawa (2001) document significant spatial variation in the capacity
dimension of the active fault complex and b-value throughout Japan. We conducted detailed comparisons
of DAF and b along three regional lines that extend along the length of Japan (see lines highlighted in
Figure 2). Correlation coefficients between DAF and b were computed at 20km intervals along each line. A
local measure of the correlation between b and DAF was computed using a 160km long sliding window.
Overall, the correlation between b and DAF is negative, however, examination of the local correlation
reveals areas of both positive and negative correlation (see Figure 2 of Oncel and Wilson, 2002).
Negative correlations are found to be associated with a drop in b and parallel rise in DAF (see
Figure 4 of Oncel and Wilson, 2002). The drop in b suggests increased probability of larger magnitude
seismicity. The parallel increase of DAF is associated with denser and more complex regions of the active
fault network. We suggest that this occurs because the greater density of faulting in the high DAF areas
accommodates rupture on interconnected faults of larger total surface area and therefore larger seismic
magnitude.
Positive correlations arise from parallel variation of b and DAF. We interpret that the reduced
probability of larger magnitude earthquakes results from increased fault density, which allows stress to be
released through lower magnitude seismicity on smaller fault strands. Whether the correlation is positive
or negative, there is an increase in DAF. However, b will rise or fall depending on the mode of failure
within the dense fault systems differs.
The differences in the time frames covered by seismicity and active fault data sets have
significant effect on our results. The active faults of Japan are considered to be active or potentially active
if there has been some movement along the fault during the Quaternary. While rupture may have had a
tendency to occur on larger faults within the complex at one period of time, stress release along smaller
fault strands may be prevalent at other times.
The focus of the work to be undertaken in this research effort will be to conduct a detailed
examination of the correlation between seismicity and geodetic strain over similar time frames (100 and
10 year time frames).
Temporal variations of b-value vs. DC along the NAFZ in Turkey
Our previous work also includes evaluation of the variation between b and DC through time along
two major subdivisions of the Northern Anatolian Fault Zone (NAFZ) in Turkey (Figure 1 of Oncel and
Wilson, 2002). Here also, a negative correlation was obtained between b and DC through time (Figure 5,
and see also Figures 4 and 5 of Oncel and Wilson, 2002). Results obtained over the western part of the
NAFZ are weakly negative. Öncel et al. (1995) suggest that the negative correlation in this instance may
be an artifact of improved station coverage. The temporal variations of b and DC follow a similar pattern.
Increases of b are generally paralleled by decreases of DC. Along the western segment of the NAFZ,
which includes Istanbul and the Marmara Sea, b increases from approximately 0.7 to 1.4 over a 43-year
period of time extending from 1945 to 1988. The increases of b imply increased event rate or seismic
activity with smaller magnitudes, which could arise from the improved coverage during the period of
analysis. Öncel et al., (1995) remained cautious in their conclusion and considered the correlation more
likely to be an artifact of improved coverage rather than a result of the underlying dynamics. However, if
one considers only the data prior to 1965, the correlation is increasingly negative (-0.92, Figure 5, and see
also Figure 4 of Oncel and Wilson, 2002). Öncel et al. (1996) undertook a similar comparison of b and DC
in the central part of NAFZ (31°-41°E). Along this portion of the NAFZ, the event rate showed no
dramatic increase in earthquake frequency due to increased station coverage. The negative correlation
between b and DC observed along the central part of NAFZ over a similar time frame (see Figure 5 of
Oncel and Wilson, 2002) is also negative (-0.85). The negative correlation between b and DC is
significant across the 1100km span of the central and western NAFZ .
Seismic activity along the NAFZ has shown a general tendency to migrate westward during the 1900
to 1990 time period (Stein et al., 1997). The decreased level of activity observed in the central portion of the
NAFZ, even after improvements in station coverage during the 1965-1975 time period, might be associated
14
with a shift in stress concentration into the western part of the NAFZ. The increased clustering (lower D) and
stress accumulation (higher b) along the central NAFZ following 1970 may have been associated with a
preparation process for the devastating August 17, 2000 earthquake (MS=7.8, 29.97°E and 40.76°N,
Kandilli) and March 13, 1992 (MS=6.8, 39.61°E, 39.71°N) (Oncel and Wilson, 2002). Increased event rate,
increased b and decreased DC suggest that the rise in the level of low magnitude seismicity and high intensity
clustering along the western portion of NAFZ did not completely release stress transferred into this segment
of the fault zone. This combination of factors - westward migration along with increased levels of low
magnitude seismicity and higher intensity seismic clustering - are indicators of increased seismic risk in the
area. These observations are similar to previous reports that seismic b-value increases after a major
earthquake up to a peak value and then decreases to a minimum at the time of occurrence of the next event
(e.g., Gibovicz, 1973; Ma, 1978; Smith, 1986, Huang and Turbot, 1988; Main et al., 1990). The occurrence of
negative correlation between b and D gives rise to questions whose answers may suggest increased seismic
risk.
Spatial variations between b-value vs. DC along the NAFZ in Turkey In addition to the temporal variability between b and DC along the NAFZ, spatial variability is also
observed (Figure 6, [see also Figure 7a of Oncel and Wilson, 2002]). Öncel et al. (1996) obtained a relation
between degree of seismic clustering and mean magnitude in each subdivision along the Anatolian Fault
Zone. Öncel et al. (1996) evaluate these differences in detail along the length of the NAFZ and undertake a
detailed examination of the spatial variability of seismicity along the NAFZ for seven subdivisions (see
Figure 6 of Oncel and Wilson, 2002) each containing the same number of seismic events (n = 100). This
analysis is restricted to the NAFZ and regions 1 through 7 extend from west to east along its length. The
variability between b and DC along the fault zone provides a continuous view of the divergence between b
and DC that occurs in the central NAFZ. The spatial variations yield a strong negative correlation (r=-0.85)
between b and DC (see Figure 10 c of Oncel et al., 1996). High b is considered to be indicative of low stress
build up accompanied by continued stress release in the form of numerous small magnitude earthquakes,
whereas low b is associated with areas where stress builds up over time and is released by less-frequent larger
magnitude earthquakes. Lower DC is associated with dense epicenter distributions and higher intensity
clustering while high DC regions are associated with less dense epicenter distributions and a tendency to be
less clustered. The result implies strong negative correlation between stress concentration (b value) and
seismic clustering (Dc). The spatial pattern becomes negative in response to an increase in stress
concentration (lower b) and weaker clustering (higher DC) through the convex-upward bend occurring in the
central part of the NAFZ (Figure 6 [see alsoFigure 7a of Oncel and Wilson, 2002]). Increased clustering
(lower DC) and a tendency to experience smaller magnitude seismicity (higher b) characterize both ends of
the NAFZ. It is apparently in these regions where the NAFZ interacts with crosscutting fault systems that
stress is more easily dissipated in the form of larger numbers of smaller magnitude earthquakes (i.e. higher b).
The spatial variation of b and DC reveals a change in the dynamics of plate interaction along the length of
NAFZ. However, the significance of those changes is not clearly understood. The areas of higher b and lower
DC (more clustered seismicity) may be the result of creeping parts of fault zone. Whereas higher DC (less
clustered seismicity) and lower b may be related to asperities along the fault (Öncel and Wyss, 2000).
Seismotectonic Evaluations
The relationships of the Gutenberg-Richter b-value to patterns of faulting and seismicity along
convergent and transform plate boundaries provides information about the dynamics of plate interactions. In
Japan, the comparison identifies differences in the way in which stress is released within complex fault
systems. In areas of positive correlation between b and D0 the increased complexity and fragmentation of the
fault system (increased D0) provides an abundance of small fault strands along which stress can be released
through more frequent but lower magnitude earthquakes (increased b). In areas of increased complexity in the
active fault system (higher D0) associated with larger magnitude seismicity (lower b) stress release occurs on
fault planes of larger surface area.
15
In Turkey, the comparisons of b and DC (correlation dimension of epicenter distribution) were
followed through time and space along the length of the NAFZ. Temporal variations of b and DC, in
general, are negatively correlated. There is a significant trend through time for b to increase while DC
decreases (see figures 4 and 5 of Oncel and Wilson, 2002). Spatial variation in the patterns of seismicity
along the NAFZ reveals presence of strong divergence in b and DC through the central convex northward
bend in the NAFZ as noted above. DC increases and b decreases through this area leading to negative
correlation between b and DC. Difference between DC and b in the central part of the NAFZ decreased
through time. However, from 1960 to 1975, the difference is 45% less than it was through much of the
preceding 25 years. In the western part of the NAFZ there is a similar decrease in DC (increased seismic
clustering) followed by increases of b prior to 1965 (see Figure 4a of Oncel and Wilson, 2002). Improved
station coverage from 1965 to 1975 interrupts this trend (see Figure 4a of Oncel and Wilson, 2002), and
by 1975, b drops from 1.1 to 0.7. This drop is very significant given the increased density of monitoring
in the area. The drop in b suggests that there was a build-up of stress in the western portions of the NAFZ,
which was being released in the form of larger magnitude seismicity for a short time interval. Following
that brief period, the correlation of DC to b became positive. The recent trend (1975-1988) is for parallel
increases between b and DC (r = 0.48) (Figure 5 [see also Figure 4c of Oncel and Wilson, 2002]). The
earlier period of negative correlation (1945-1965) might imply that seismicity was de-clustered and
distributed along large fault strands. The recent positive trend covers a relatively short time interval but
reveals behavior, which is significantly different from the preceding 30 year time period. From 1975 -
1988, the tendency has been for seismicity to be less clustered (DC rising) and to consist of more frequent
but smaller magnitude earthquake activity. The variations of b and DC through time are unusual. Their
significance in relation to the recent earthquakes in the area is unclear. Did the period of positive
correlation between b and DC in the central NAFZ (1960 to 1975) transfer stresses into the western NAFZ
causing a short increase in DC and decrease in b? Was the increased probability of high magnitude
seismicity actually accommodated by strain release? Was the following period of increased low level de-
clustered seismicity inadequate to reduce the build up of stress that was occurring in the western NAFZ.
The recent earthquakes in that area suggest that it was not.
Some of the differences noted above between the central and western segments of the NAFZ may be
related to differences in the mode of failure as indicated by earthquake focal mechanisms as much as more
densely spaced geodetic studies (McClusky et al., 2000, Straub and Kahle, 1995 and 1997). The process of
creep is usually associated with higher b, whereas asperities are often associated with lower b-value (Oncel
and Wyss, 2000). Along the eastern and central parts of the NAFZ, failure occurs under compression,
whereas along its western extent, failure occurs through extension in Aegean region.
The outgrowths of our ongoing research reveal interesting seismotectonic relationships. These
observations force us to ask new questions and to seek a better understanding of the processes involved. The
behavior we see in many instances appears anomalous as suggested by those changes preceding the
devastating earthquakes in western Turkey during 1999. Continued observation of these processes may help
us gain better insights into the processes at work and their potential for helping us identify potentially
hazardous associations.
References Cited
Aki, K., Maximum likelihood estimate of b in the formula log N = a - bm and its confidence limits, Bull.
Earthquake Res. Inst., Tokyo Univ., 43, 237-239, 1965.
Aki, K., 1967, Scaling law of seismic spectrum: Journal of Geophysical Research, vol. 72, p. 1217-1231.
Barbano, MS, De Rubeis V, Tosi P, Vinciguerra S, 2000, Clustering properties of Etna seismicity during
1981-1991, J. Seism. 4: (2) 191-196 .
Davy, P., Sornette, A., Sornette, D, 1992, experimental discovery of scaling laws relating fractal
dimensions and length distribution exponent of fault systems, Geophys. Res. Lett., 4, 361-363.
16
De Rubeis, V., Dimitriu, P., Papadimitriou, and Tosi, P., 1993, Recurrent patterns in the spatial behavior
of Italian seismicity revealed by the fractal approach, Geophys. Res. Lett., 18, 1911-1914.
Geographical Survey Institute of Japan, 1997, Horizontal Crustal Strain Map, 1:2,000,000: Geographical
Survey Institute of Japan, Tsukuba, Ibaraki Prefecture, http://cais.gsi-mc.go.jp/HIZUMI/hizumi.html.
Gibowicz, S., Lasocki, S., 2001, Seismicity induced by mining: Ten years later, Advances in Geophysics,
44, 39-181.
Gutscher, MA., and Lallemand, S., 1999. Birth of a major strike-slip fault in SW Japan, TERRA NOVA,
11: (5) 203-209.
Godano, C., Caruso, V., 1995, Multifractal analysis of earthquake catalogs, Geophys. J. Int., 121: (2) 385-
392.
Godano C, Tosi P, Derubeis V, et al., 1999, Scaling properties of the spatio-temporal distribution of
earthquakes: a multifractal approach applied to a Californian catalogue, Geophys. J. Int. 136: (1) 99-
108.
Eneva, M., 1996, Effect of limited data sets in evaluating the scaling properties of spatially distributed
data: an example from mining-induced seismic activity, Geophys, J. Int., v. 124: 773-786
Hashimoto, M., Miyazaki, S., and Jackson, DD., 2000, A block-fault model for deformation of the
Japanese Islands derived from continuous GPS observation, Earth Planet and Space, 52: (11) 1095-
1100.
Feng, X., and Seto, M., 1999. Fractal structure of the time distribution of microfracturing in rocks,
Geophys. J. Int., 136, 275-285.
Ikami, A., Yoshii, T., Kubota, S., Sasaki, Y., Hasemi, A., Moriya, T., Miyamachi, H., Matsu'ura, R., and
Wada, K. (1986) A seismic refraction profile in and around Nagano Prefecture, central Japan: Jour.
Phys. Earth, v. 34, p. 457-474.
Isozaki, Y., 1996, Anatomy and genesis of a subduction related orogen: A new view of geotectonic
subdivision and evolution of the Japanese islands; in The Island Arc, vol. 5, pp. 289-320.
Jackson, D.D., and Y.Y. Kagan, Testable earthquake forecasts for 1999, Seism. Res. Lett., 70, 393-403,
1999.
Kano, K. and Wakita, K., 1992, A geological synthesis of the Japanese Islands: International Geological
Congress, Presentation and Abstracts with Programs.
Kijko, A., Öncel, A.O., 2000. Probabilistic Seismic Hazard Maps for Japanese Islands, Journal of Soil
Dynamics and Earthquake Engineering-Wessex Institute of Technology, 20, 485-491.
Kikuchi, M., and H. Kanamori., 1996, Rupture process of the Kobe, Japan, earthquake of Jan. 17, 1995,
determined from teleseismic body waves, J. Phys.Earth, 44, pp. 429-436.
Lu, CS., Harte, D., and Bebbington, M, 1999, A linked stress release model for historical Japanese
earthquakes: coupling among major seismic regions, Earth. Planets and Space, 51: (9) 907-916.
Main, I. G., 1992, Damage Mechanics with long-range interactions: correlation between the seismic b-
value and the fractal two-point correlation dimension: Geophys, J. Int., v. 111: 531-541
Main, I.G., 1996, Statistical physics, seismogenesis, and seismic hazard, Reviews of Geophys., 34, 433-
462.
Mark W. Stirling and Steven G. Wesnousky, 1998, Comparison of Recent Probabilistic Seismic Hazard
Maps for Southern California Bulletin of the Seismological Society of America Volume 88 - Number
3 - June 1998
Nakamura, K., 1983, Possible nascent trench along the Japan Sea as the convergent boundary between the
Eurasian and North American plates: Bulletin of the Earthquake Research Institute, vol. 58, p. 711-
722.
Pyrak-Nolte L.J, Myer, L.R., Nolte, D.D., 1992, Fractures : Finite-size scaling and multifractals, Pure.
Appl. Geophys., 138,679-705.
Okumura, K., Shimokawa, K., Yamazaki, H., and Tsukuda, E., 1994, Recent surface faulting events along
the middle section of the Itoigawa-Shizuoka Tectonic Line - trench Survey of the Gofukuji fault near
Matsumoto, central Japan: Zisin (The Journal of the Seismological Society of Japan), Ser. 2, 46, 425-
438.
17
Okumura, K., 1997,Rupture history and segmentation of the Itoigawa-Shizuoka Tectonic Line active fault
system: Geological Survey of Japan Information Sheet S-6, 4p.
Öncel, A.O., Wilson, T., 2002. Space-Time Correlations of Seismotectonic Parameters and examples
from Japan and Turkey Preceding the Izmit Earthquake, Bulletin Seismological Society of America,
92, 339-350.
Oncel, A. O., Wilson, T. Correlation of seismotectonical variables and microplate velocity field in
western Turkey and the eastern Mediterranean, Submitted to Bulletin Seismological Society of
America.
Oncel, A. O., Wilson, T., Nishizawa, O., 2001, Size scaling relationships in the active fault networks of
Japan and their correlation with Gutenberg-Richter b values, J. Geophys. Res.,in press.
Öncel, A. O., Wyss, M., 2000b, The major asperities of the 1999 M7.4 Izmit earthquake, defined by the
microseismicity of the two decades before it, Journal of Geophysical Research, Geophys. J. Int., 143,
501-506.
Öncel, A.O. and M. Wyss., 2000b. Mapping the major asperities by minima of local recurrence time
before the 1999 M7.4 Izmit earthquake, Book on Izmit earthquake, pp. 1-4, The Izmit and Duzce
Earthquakes: preliminary results, Editors: Aykut Barka, Ozgür Kozacı, Serdar Akyüz and Erhan
Altunel, Publisher: Istanbul Technical University, ISBN: 975- 561-182-7.
Öncel, A. O., I. Main., Ö, Alptekin, and P. Cowie, 1996, Spatial variations of the fractal properties of
seismicity in the Anatolian fault zones, Tectonophysics, 257, 189-202.
Öncel,A. O., I. Main,I., Ö. Alptekin,P. Cowie, 1996, Temporal variations of the fractal properties of
seismicity in the north Anatolian fault zone between 31°E and 41°E, Pure Appl. Geophy. 146, 147-
159.
Öncel,A.O., Ö. Alptekin, I. Main, 1995.Temporal variations of the fractal properties of seismicity in the
western part of the north Anatolian fault zone: Possible artifacts due to improvements in station
coverage, Nonlinear Processes Geophys., 2, 147-157.
Redner, S., 1990, Random multiplicative processes: An elementary tutorial, Am. J. Phys. 58, 267-273.
Scholz, C.H., N.H. Dawers, J-Z. Yu, M.H. Anders and P.A. Cowie, 1993, Fault growth and scaling laws:
preliminary results: Journal of Geophysical Research, 98(B12):21,951-21,962.
Scholz, C. H., 1995, Fractal transitions on geological surfaces: in Fractals in the Earth Sciences, C. C.
Barton and P. LaPointe, Editors, Plenum Press, New York, 131-140.
Scholz, C.H., 2000, Evidence for a strong San Andreas fault, Geology, 28:163-166.
Scholz, C.H., 1990, The Mechanics of Earthquakes and Faulting, Cambridge University Press, 439 pp.
Shimokawa, K., 1997, Research on earthquake potential assessment around the eastern margin of the
Japan Sea: Geological Survey of Japan Information Sheet S-4, 4p.
Smith, W. D., 1986, Evidence for precursory changes in the frequency-magnitude b value, Geophys. J.
R.Astron. Soc. 86, 815-838.
Tadokoro, K., Ando, M., and Umeda, Y., 1999, S wave splitting in the aftershock region of the 1995
Hyogo-ken Nanbu earthquake, vol. 104, p. 981-991.
Takahashi, M., and Nomura, S., 1989, Paleomagnetism of the Chichibu quartz diorite - Constraints on the
time of lateral bending of the Kanto Syntaxis: Journal of Geomagnetism and Geoelectricity, vol. 41, p
479-489.
Toda, S., Katoh, S., Kobayashi, F., Kagawa, T., Yokota, H., Nakagawa, K., Takamura, K., and Okada, A.,
Seismic Reflection Survey across the Central Part of the Arima-Takatsuki Tectonic Line, Kinki
District, Central Japan: Nature and Human Resources, vol. 3, p9-21.
Tsukuda, E., 1997, Geologic structure at the Bando observation well, Naruto, Tokushima: Geological
Survey of Japan Information Sheet S-5, 4p.
Wakita, K., 1997, The geology of Japan: A guide for the CD-Rom "Digital Geologic Map of East and
Southeast Asia"; CCOP Technical Bulletin, Vol. 26, p.47-57.
Xie, H., 1992, Fractals in rock mechanics, A.A. Balkema, Rotterdam.
Xu YB, Burton PW, 1999. Spatial fractal evolutions and hierarchies for microearthquakes in central
Greece , Pure. Appl. Geophys ,154: 73-99.
18
Wilson, T., and Kato, H., 1992, Interpretation of the Matsumoto Basin gravity low: in Bulletin of Geological
Survey of Japan. Special Issue - Cenozoic geohistory and tectonics in Japan, vol. 43, no. 1/2 p. 31-42.
Wilson, T., and Kato, H.,1995, Gravity model studies of the northern Fossa Magna: Central Honshu, Japan.
Bulletin of the Geological Survey of Japan. Vol. 46, no. 1, p 1-22.
Wiemer, S., and Wyss, M., 2000, Minumum magnitude of completeness in earthquake catalogs: Examples
from Alaska, the western United States, and Japan, Bull. Seism. Soc. Am., pp. 859-869.
Wyss, M., D. Schorlemmer, and S. Wiemer, Mapping asperities by minima of local recurrence time: The
San Jacinto-Elsinore fault zones, J. Geophys. Res., 105, 7829-7844, 2000.
Wyss, M., Hasegawa, A. and Nakajima, J., 2000a. Source and path of magma for volcanoes in the
subduction zone of northeastern Japan. Geophysical Research Letters: submitted.
Wyss, M., Schorlemmer, D. and Wiemer, S., 2000b. Mapping asperities by minima of local recurrence
time: The San Jacinto-Elsinore fault zones. Journal of Geophysical Research, 105: 7829-7844.
Wyss, M., 2002. Locked and creeping patches along the Hayward fault, California, Geophys. Res. Lett., in
press.
Yokokura, T., Kano, N., Yamaguchi, K., and Miyazaki, T., 1997, Faults and basement structures around
the epicentral region of the 1995 Hyogo-ken Nanbu earthquake derived from seismic reflection
profiling: Geological Survey of Japan Information Sheet S-2, 2p.
Yokokura, T., 1999, Seismic investigation of an active fault off Kobe: Another disaster in the making:
Leading Edge, vol. 16, no. 12, p. 1417-1421.
G5. Project personnel and bibliography of directly related work
Ali O. Oncel Educational Background: 1989 BSc- Geophysics, Istanbul University, 1992 MSc-Geophysics, Istanbul University, 1996 Ph.D-Geophysics, Istanbul University, 2000 Associate Professor of Seismology, Turkish Higher Education Professional Background: 2001 -present Geological Survey of Canada-National Earthquake Hazards Program 1998 - 1999 Geological Survey of Japan/Tsukuba- Post Doctoral Research Fellow 1994 - 1995 International Center for Theoretical Physics/Trieste –Research Fellow 1993 - 1994 Edinburgh University –Guest Researcher 1990 - 2000 Istanbul University- Researcher 2000 - 2001 Istanbul University-Associate Professor Research/Management Experience
Examples of previous research grants include:
Microseismicity of Marmara Sea and Seismic Hazard, 1038-250897, 40 pp, completed,
supported by Research Foundation of Istanbul University. Recent Related Publications
1. Oncel, A.O., Wilson, T., 2002. Correlation of seismotectonic variables and microplate
velocity in western Turkey and the Eastern Mediterranean, Bulletin Seismological
Society of America, submitted.
2. Öncel, A.O., Wilson, T., 2002. Space-Time Correlations of Seismotectonic Parameters
and examples from Japan and Turkey Preceding the Izmit Earthquake, Bulletin
Seismological Society of America, 92, 339-350.
3. Öncel, A.O., Wyss, M., 2000. The major asperities of the 1999 M7.4 Izmit earthquake,
defined by the microseismicity of the two decades before it, Geophysical Journal
International-OXFORD.,143, 501-506.
19
4. Öncel, A.O., Wilson, T., Nishizawa, O.,2001. Size Scaling Relations in the Active Fault
Networks of Japan and their correlation with Gutenberg-Richter b-Values, Journal of
Geophysical Research-American Geophysical Union,106, 21,827-21,841.
5. Kijko, A., Öncel, A.O., 2000. Probabilistic Seismic Hazard Maps for Japanese Islands,
Journal of Soil Dynamics and Earthquake Engineering-Wessex Institute of Technology,
20, 485-491.
G6. Institutional qualifications
The Department of Geology and Geography's geophysics lab provides access to a variety of
modeling and interpretation software including Interpex Ltd.'s gravity, magnetics, resistivity, induced
polarization and terrain conductivity modeling software; Eikon Technologies EMigma EM modeling
software; GM-Sys garvity and magnetic modeling software; network access to GeoGraphix's SeisVision
and their suite of GMA Plus and Seismic MircoTechnology’s Kingdom Suite seismic analysis software.
seismic products. We also have network access to GeoGraphix's GES Explorer and Prizm software. The
department also has considerable GIS and Remote sensing resources (ENVI, MicroImages TNT,
ArcView and ArcInfo). In addition, students have access to a 12 - channel engineering seismograph, VLF
and terrain conductivity meters, and a magnetometer. Section plotters, scanners and digitizer tablets are
available in student research areas. A large-format plotter is also available in the geophysics laboratory,
The majority of the research conducted under this grant by WVU will be undertaken on Dr.
Wilson's office computer and will use resources in the adjacent geophysics lab. For data sources, refer to
discussion at the top of page 8. Additional information relevant to the strain data will be obtained if
needed from Dr. Kumaki Yohta, Head, Research Planning Division Geographical Survey Institute e-mail:
[email protected]. West Virginia maintains substantial library facilities on both of its Morgantown
campuses.
G7. Project management plan
The Geological Survey of Canada Task Summary - Seismotectonic Analysis (Principal Investigator: Dr.
Ali Oncel) - See collaborative submission from Dr. Oncel of the Canadian Geological Survey – A brief
list of activities to be undertaken by Dr. Oncel includes:
1. compilation of instrumental Japanese earthquake catalogue from the Japan Meterological Agency
(JMA) data file for the time period between 1926 and 2002(October 1-15 of 2002).
2. compilation of historical Japanese earthquake catalogue from the data files of Utsu [1982] and
Usami [1996] (October 16-30 of 2002).
3. compilation of instrumental and historical catalogues considering the temporal changes of
magnitude(November 1-15 of 2002).
4. declustering the secondary events to obtain a homogenous catalogue (November 16-30 of 2002).
5. compute the seismic b-value and a-value for different time intervals of 10 year (1985-1994) and
100 years (1883-1994) (December of 2002).
6. computation TL values for different target magnitudes (Mtarget) (January 1 to June 15th of 2002)
7. computation fractal dimensions for different q (=2 and 15) in order to extreme limits of seismic
clustering (January 15 to June 30th of 2002),
8. present preliminary results at Spring EGU meeting
9. continued for different tectonic origins of spatial variability of seismotectonic variables, May 15th
through June 30th of 2003
10. write JGR paper and final report (August 15th through September 30
th of 2003).
Expenditures during the first 4 months of the project are required for purchase of the PC and supplies
relate to our research undertaking. Dr. Oncel's time during the working year will be cost-shared by
20
Geological Survey of Canada. Salary expenditures under the grant are not required until the summer of
2003 at which time (May 15th through June 30
th, Dr. Oncel will work full time on the project.
WVU Task summary and timetable
1) compilation of geodetic strain data from the Geographical Survey Institute of Japan's crustal strain
database (October to November of 2002).
2) organization of the databases for preliminary comparison of b-value to strain (November of 2002)
3) preliminary comparisons of b-value and strain (October to November of 2002).
4) interpretation of multifractal response computed by Dr. Oncel for scale transitions (Jan. 2003 to May
15th 2003)
5) complete evaluation of correlations between a and b value, fractal dimensions and various geodetic
strain measurements, at regional and local scales (January to June 30th of 2002)
6) present preliminary results at Spring AGU meeting
7) continued evaluation and interpretation of possible tectonic origins of spatial variability observed in
the correlation between seismotectonic variables May 15th through June 30
th of 2003
8) interpretation of the potential significance of variable spatial correlation as a seismic hazard indicator.
(June 1st to June 30
th of 2003)
9) write JGR paper and final report (August 15th through September 30
th of 2003).
Expenditures during the first 8 months of the project are required for purchase of the PC and supplies
relate to our research undertaking. Dr. Wilson's time during the academic year will be cost-shared by
West Virginia University. Salary expenditures under the grant are not required until the summer of 2003
at which time (May 15th through June 30
th, Dr. Wilson will work full time on the project.
G8. Current Support and pending applications
Wilson - Current Support: Oak Ridge Fellowship remote sensing and geophysical studies over a pilot
carbon sequestration site for DOE NETL (summer 2002). This effort will overlap the time-period for the
proposed USGS research effort during the fall and winter of 2002-2003.
Pending support: Faculty Fellowship with Pacific Northwest National Labs. This activity will take place
during the summer of 2002. Continuation into 2003 is possible, but activities would be scheduled so as
not to conflict with the time frame of this proposed USGS activity.
G9. Continuation projects
Wilson - is currently involved in conducting remote sensing and geophysical studies over a pilot carbon
sequestration site with the Department of Energy’s National Energy Technology Lab. This work was
continued following last summer’s ORISE faculty fellowship appointment with NETL.
21
Figure 1: Regional tectonic setting of Japan (taken from Kano and Wakita, 1992).
22
-400 -200 0 200 400
kilometers
-200
0
200
400
600
800
kilo
me
ters
-5
-3
-1
1
3
5
Strain Difference10year strain - 110 year strain/11
Figure 2: A comparison of relative strain rates over the recent 1985-1994 time period is
made to those occurring since 1885. Area strain over the 110 year period was divided by11
(yielding an average strain rate per 10 year interval) and then subtracted from the area
strains observed over the recent 10 year time-frame.
39.00
40.00
41.00
42.00
9
23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00
40.00
12
3
4
9 8
7
6 5
20 nstrain/yr200nstrain/yr18.5 mm/yra=3.8
b=1.51
15 nstrain/yr240nstrain/yr16.5 mm/yra=2.9
b=1.39
5nstrain/yr75 nstrain/yr12.9 mm/yra=1.6
b=1.47
30nstrain/yr190nstrain/yr11 mm/yra=2.6
b=1.11
b=1.75 a=4.023.9 mm/yr40 nstrain/yr30 nstrain/yr
b=1.81 a=4.921.9 mm/yr60 nstrain/yr25 nstrain/yr
b=1.24 a=3.123.5 mm/yr70 nstrain/yr50 nstrain/yr
b=1.16 a=3.123.8 mm/yr220 nstrain/yr10 nstrain/yr
b=0.97 a=2.7 15 mm/yr 8 nstrain/yr170 nstrain/yr
Figure 3: Seismic zones along the NAFZ are located on the above map. Gutenberg-
Richter a- and b-values along with the average plate velocity calculated in each of these
zones are noted.
23
Figure 4. : Generalized-correlation-integral functions derived from epicenter distributions in
seismic zone 1 (see Figure 1) in the eastern part of Marmara region which includes the recent
(1999) Izmit earthquake. Fractal plots associated with q-values of 2 and 15 are labeled for
reference.
D15
D2
15 1.10
14 1.11
13 1.11
12 1.12
11 1.1210 1.13
9 1.14
8 1.16
7 1.18
6 1.20
5 1.23
4 1.27
3 1.34 2 1.44
q Dq
Multiple Fractal
N=3912 q=2-15
DISTANCE R (KM)
CO
RR
EL
AT
ION
IN
TE
GR
AL
C(R
>r
)
24
1976-1988
1.1 1.2 1.3 1.4
b
0.6
0.7
0.8
0.9
1.0
1.1
1.2
Dc
0.7 0.8 0.9 1.0b
1.1
1.2
1.3
1.4
DC
1945-1965
r = -0.92
r = 0.48
b-value
DC
1940 1950 1970 1980 19901960
Year
0.6
0.8
1.0
1.2
1.4
1.6
DC
and
b
Figure 5: Correlation between variations in b and DC in the western
NAFZ (A) are examined over the 1945-1965 (B) and 1976-1988 (C)
time periods.
25
K
1999
Mw=7.4
2.0
1.6
1.2
0.8
0.4
0.0
b value
DC
12 6
54
3
7
Lateral Distance (n=100)
24.00 26.00 28.00 30.00 32.00 34.00 36.00 38.00 40.00 42.00 44.00
38.00
40.00
42.00
38.00
40.00
42.00
2.0
1.6
1.2
0.8
0.4
0.0
Figure 6. Areas 1 through 7 along the NAFZ are bounded along strike by a line of longitude.
The size of each region is adjusted to include one hundred earthquakes. Seismicity in the
wider areas is less clustered in distribution. The wider areas of less clustered seismicity are
associated with higher D (less clustered) and lower b (greater likelihood of larger magnitude
earthquake).