Cordell, L. (1979) Gravimetric expression of graben faulting in Santa Fe Country and the Espanola Basin,. New Mexico, in Guidebook to Santa Fe Country, 30th.
九大地熱・火山研究報告 第 16 号 (2007) 7-13 頁
Fracture Pattern and Low-Temperature Geothermal Systems in Fukuoka Prefecture, Southwestern Japan Hakim SAIBI*, Jun NISHIJIMA*, Tomohiro HIRANO**, Yasuhiro FUJIMITSU* and Sachio EHARA* ABSTRACT
Fukuoka area is located in the southwestern part of Japan. This area has some low-temperature geothermal systems. From 1996 to 2007, Fukuoka area was covered by gravity surveys using Scintrex CG-3 and CG-3M gravimeters in an attempt to delineate the subsurface structure. The gravity data has been analyzed using some integrated gradient interpretation techniques such as: Horizontal Gradient (HG), Tilt Derivative (TDR), and Euler deconvolution method. The results of this study will hopefully lead the good understanding of the relation between the interpreted faults and the location of the lowtemperature geothermal systems and possible future geothermal exploration in the area. 1. INTRODUCTION
Karakida et al., 1994). The basement rock is composed essentially of granite (Matsushita et al., 1971).
Some low temperature hot springs are localized in the southern part of Fukuoka city, exactly in Yokote-Ijiri area. The generation of the hot springs in this area is not related with a special heat source (Karakida et al., 1994). Fujimitsu et al. (2003) stated the possibility of generation by a specific subsurface structure. The Kego fault, one of the active faults in Fukuoka area was expected to pass through Yokote-Ijiri area (Karakida et al., 1994) but at that time no scientific investigations have been conducted to locate the Kego fault. The studied area was struck by a strong earthquake on March 20, 2005 (MJMA7.0) at depth (9 kmJMA) and a MJMA5.8 aftershock on April 20. From previous geosciences’studies, the earthquake occurred along the extension of Kego fault under the sea of Genkai, running from the northwest to
Figure 1: Location of Fukuoka area in Kyushu Island,
southeast.
Japan.
Therefore, the aim of this study is to delineate the subsurface structure of Fukuoka area and its relation with
Fukuoka area was covered by gravity surveys using
the low-temperature geothermal systems by applying some
Scintrex CG-3 and CG-3M gravimeters during the period
gradient interpretation methods to the available gravity
1996-2007. The total number of gravity stations is 1590
data.
over the survey area covering approximately 300 km 2. The average spacing between gravity stations is 50 m to
2. GRAVITY DATA
2 km. The Bouguer gravity data has been analyzed using
Fukuoka area is located in the southwestern part of Japan,
some integrated gradient interpretation techniques. The
between latitudes 33˚30 ' -33˚45 ' N and longitudes 130˚ 15 ' -130˚30 ' E (Figure 1). Geologically, Fukuoka area is
gravity data is used in this study in an attempt to delineate
composed of Paleozoic Sangun metamorphic rocks, Late
2470 kg/m3 (Hirano et al., 2006) was used to yield the
Mesozoic granitic rocks, Paleogene, Neogene basaltic
Bouguer anomaly map of the study area as shown in Figure
rocks and Quaternary sediments (Matsushita et al., 1971;
2-A. From visual inspection in Figure 2-A, this area is
the subsurface structure of Fukuoka area. A density of
* Laboratory of Geothermics, Department of Earth Resources Engineering, Faculty of Engineering, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan **Laboratory of Geothermics, Department of Earth Resources Engineering, Graduate School of Engineering, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka, 819-0395, Japan 7
Hakim SAIBI, Jun NISHIJIMA, Tomohiro HIRANO, Yasuhiro FUJIMITSU and Sachio EHARA
characterized by the gravity value distribution which has
overturned structure affecting this area. This fracture zone
a trend of increasing in the northern, and western parts of
is believed to represent the Kego fault.
the map area. Two low Bouguer gravity anomalies can be seen in the central part of the area extending in NW-SE direction. The hot springs are located at the border between very-low and low Bouguer gravity anomalies (Figure 2-B). This region can reflect a small basin elongated in the NWSE direction.
Figure 3: Stratigraphic log of two drill-holes (Well 1 and Figure 2: A) Bouguer gravity map of Fukuoka area. Black
10) in Yokote-Ijiri area (Matsushita et al., 1971). The two
circles indicate the locations of the gravity stations. The
drill-holes are used as control points in the forward gravity
black rectangle indicates the area of Figs. 5, 6 and 7. B) Hot
modeling (see Figure 10).
spring location is overlapped on the Bouguer gravity map. 3. METHODOLOGY Based on petrographic and macroscopic analysis of
In our study three gravity interpretation techniques were
drill cuttings and core samples (Matsushita et al., 1971),
used: HG, TDR, and Euler deconvolution. The combination
the stratigraphic column of Yokote-Ijiri, southern part of
of the three methods will enhance the structural definition
Fukuoka city can be divided into three layers: Layer 1:
of the study area. The TDR has the advantage of responding
gravel and sand, Layer 2: weathered granite and Layer 3
well to both shallow and deep sources and the map of TDR
corresponding to the Mesozoic granite, which represents
recognizes the horizontal location and extent of sources.
the basement rock in this area (Figure 3). The Layer 1
The location of the maximum HG may be used as an
is absent in the Well No. 1. The Paleogene sandstone is
indicator of the location of edges of the source. The Euler
detected at the bottom of Well No. 10, beneath the fracture
solutions give the depths of sources. The HG and TDR
zone. Matsushita et al. (1971) explained this structure by an
techniques are illustrated in Figure 4. 8
Fracture Pattern and Low-Temperature Geothermal Systems in Fukuoka Prefecture, Southwestern Japan
horizontal derivatives of the field (Phillips, 1998). The method is also robust in delineating both shallow and deep sources, in comparison with the vertical gradient method, which is useful only in identifying shallower structures. The amplitude of the horizontal gradient (Cordell and Grauch, 1985) is expressed as:
HG g
g x
2
g y
2
(1)
where (∂g/∂x) and (∂g/∂y) are the horizontal derivatives of the gravity field in the x and y directions, respectively. The amplitude of the horizontal gradient of Fukuoka area was calculated in the frequency domain and is illustrated in Figure 5. The area may be dissected by major faults striking in the N-S and NW-SE directions.
Figure 4: Gravity anomaly (mGal) over one block. Density contrast is 1000 kg/m3. TDR= Tilt angles (Degree), HG= Horizontal Gradient (mGal/m), VD= Vertical Derivative (mGal/m).
Figure 5: Horizontal gradient map of gravity data.
4. HORIZONTAL GRADIENT OF GRAVITY DATA
5. TILT DERIVATIVE OF GRAVITY DATA
The horizontal gradient method has been used intensively
The TDR is used to enhance and sharpen the potential
to locate boundaries of density contrast from gravity data
field anomalies. The advantage of the TDR is that the
or pseudogravity data stating that the horizontal gradient
zero contour line located on or close to the contacts. The
of the gravity anomaly caused by a tabular body tends to
operating definition is (Miller and Singh, 1994):
overlie the edges of the body if the edges are vertical and well separated from each other (Cordell, 1979; Cordell and Tilt
Grauch, 1985).
tan
The greatest advantage of the horizontal gradient method is that it is least susceptible to noise in the data, because it only requires the calculations of the two first-order
where 9
1
vertical component of gradient horizontal component of gradient
tan
1
g z g h
(2)
Hakim SAIBI, Jun NISHIJIMA, Tomohiro HIRANO, Yasuhiro FUJIMITSU and Sachio EHARA
g h
2
g x
g y
where
2
(3)
(x0, y0, z0) are the position of a source whose total gravity is detected at (x, y, z), b is the regional value of the gravity, and η is the structural index (SI) which can be defined as
The result of TDR is presented in Figure 6.
the rate of attenuation of the anomaly with distance. SI must be chosen according to a prior knowledge of the source geometry. For example, in gravity case, SI=2 for a sphere, SI=1 for a horizontal cylinder, SI=0 for a fault, and SI=-1 for a contact (FitzGerald et al., 2004). The two horizontal gradients (∂g/∂x, ∂g/∂y) and a vertical derivative (∂g/∂z) are used to compute the anomalous source locations. By considering four or more neighboring observations at a time (an operating window), source location (x0, y0, z0) and b can be computed by solving a linear system of equations generated from the Equation (5). Then by moving the operating window from one location to the next over the anomaly, multiple solutions for the same source are obtained. In our study, a technique of Euler deconvolution has been applied to the gravity data using a moving window of 250 m X 250 m. The grid cell size is 500 m. We have assigned several structural indices values and found that SI of (0) gives good clustering solutions. Reid et al. (1990; 2003), and Reid (2003) presented a structural index equal to zero for the gravity field for detecting faults. The results of the Euler deconvolution for gravity data are shown in
Figure 6: Tilt derivative of gravity data. The zero value
Figure 7.
matches well with the HG map of gravity data.
The interpretation of Euler solutions (Figure 7) indicates that the NE-SW, NW-SE, E-W, and N-S trends characterize
6. EULER DECONVOLUTION OF GRAVITY DATA
the structural setting of Fukuoka area. The depth of faults
Euler deconvolution is used to estimate depth and
ranges from less than 500 m to more than 1000 m.
location of the gravity source anomalies. The method was established by Thompson (1982) and applied essentially for real magnetic data along profiles. Reid et al. (1990) followed up a suggestion in Thompson’s paper and developed the equivalent method operating on gridded magnetic data. The application of Euler deconvolution to gravity data has been carried out by several authors, e.g., Wilsher (1987), Corner and Wilsher (1989), Klingele et al. (1991), Marson and Klingele (1993), Fairhead et al. (1994), and Huang et al. (1995). The 3D equation of Euler deconvolution given by Reid et al. (1990) is: g x
x xo
y yo
g y
g z
z zo
g
(4)
Equation (4) can be rewritten as:
x
g x
y
g y
z
g z
g
xo
g x
yo
g y
zo
g z
(5) Figure 7: Euler solutions for a structural index of zero. 10
Fracture Pattern and Low-Temperature Geothermal Systems in Fukuoka Prefecture, Southwestern Japan
8. DISCUSSION AND CONCLUSION
The maximum relative error is 10 %. Solutions are selected using standard criteria. The solutions of Euler
Figure 9 shows a tentative qualitative interpretation of
deconvolution are consistent with the results of TDR and
the Horizontal Gradient data and the Tilt Derivative data.
HG. Background is the image of Bouguer gravity map.
The Euler deconvolution method provides the depth of the
The depth of Kego fault is less than 500 m as shown by the
faults; however the HG and TDR methods determine the
good clustering of the Euler solutions.
location of the faults. The results show a relation between the structural pattern and locations of the hot springs at
7. HOT SPRINGS IN FUKUOKA AREA
Fukuoka area. The hot spring waters emerge along fault
Eleven low temperature hot springs are located in Yokote-
lineaments in Fukuoka area. Fukuoka area is dissected by
Ijiri area in southern part of Fukuoka city. This hot spring
major faults striking in the E-W, and NW-SE direction. The
area is characterized by a low resistivity less than 10 Ωm
depth of these faults is less than 500 m, which is obtained
and it was explained that the low resistivity was caused by
from the Euler deconvolution method. The faults located at
hot water (Matsushita et al., 1971). Fujimitsu et al. (2003)
the eastern side of the hot springs are deeper than the faults
mentioned that the high temperature distribution of the hot
of the western side. The rose diagram (Figure 9) indicates
springs in Yokote-Ijiri area has an extension of NW-SE
that there are four major faults patterns (N-S, E-W, NE-SW,
direction (Figure 8). The hot springs are located in a dense
NW-SE) characterizing the study area.
fractured area. The characteristics of these hot springs are mentioned in Table 1. The hottest hot spring is Well No. 1 with 49 ºC.
Figure 8: Hot spring temperature distribution. Numbers are hot springs. Table 1: Hot spring waters characteristics in Fukuoka area (Matsushita et al., 1971). Well number 1 2 3 4 5 6 7 8 9 10 11
Temperature in oC 49 43 37.5 46 31 42 27 46 34.3 33.1 43
Depth in meter 72 70 100 78 100 150 100 150 150 130 100
Figure 9: Faults interpretation map of Fukuoka area from
Amount in l/min. 100 54.6 120 50 26 110 20 120 41 34.2 120
HG and TDR maps. Eleven hot springs are plotted with their numbers. A rose diagram of faults extracted from gravity data at Fukuoka area is presented. The interpreted faults are statistically analyzed using the GIS software (ER Mapping ver. 7.0) (Table 2). From Table 2 some important information about the tectonic setting of the study area were obtained: 11
Hakim SAIBI, Jun NISHIJIMA, Tomohiro HIRANO, Yasuhiro FUJIMITSU and Sachio EHARA
Table 2: Statistical analysis of interpreted lineaments in Fukuoka area. The total of lineaments is 112. Using the count of number of lineaments, we have two main groups: the first group (11 lineaments) in the direction of -40ºW, and the second group (11 lineaments) in the direction of 90ºE. From the point of view of length, the first group has a long length, while the second group has a short length. The maximum length is observed at -30ºW with 2421 m, while the shortest lineament is observed at 60ºE with 648 m. Minimum
Maximum
Mean
Total
Mean
Length
Length
Length
Length
Angle
(m)
(m)
(Degree)
560.14
2800.72
-78.8
858.8
6011.57
-70.6
1019.5
541.77
4334.18
-58.5
316.4
2315.41
922.46
9224.6
-50.5
11
387.83
2169.53
1003.11
11034.2
-40.9
-30
5
286.71
2421.49
1041.38
5206.88
-30.7
-20
9
208.18
1355.82
682.96
6146.65
-21.4
-10
6
223.17
2236.61
880.24
5281.45
-11.7
Angle
Number of
(Degree)
Lineaments
(m)
(m)
-80
5
194.41
840.29
-70
7
192.58
1579.5
-60
8
261.19
-50
10
-40
Figure 10: 2-D model by using two wells 10 and 1 (No. 1
0
7
228.21
1580.04
666.68
4666.75
-2
and 10, see Figure 2-B) as control point based on forward
10
8
349.27
705.73
531.95
4255.58
7.8
20
4
213.24
922.29
554.79
2219.16
22.4
modeling of the gravity data using Talwani’s algorithm
30
3
303.91
863.27
562.63
1687.88
29.6
(Talwani et al., 1959). The hot water flows from downward
40
4
238.41
1442.43
714.12
2856.48
41.6
to the surface through the fault structure. Kego fault could
50
4
271.44
1361.05
839.73
3358.93
53.5
60
1
648.54
648.54
648.54
648.54
62.1
be the main flow path of the geothermal fluids.
70
2
184.09
665.25
424.67
849.35
70.9
80
7
170.47
1213.9
575.83
4030.81
79.9
90
11
118.31
1433.1
528.15
5809.62
88.5
ACKNOWLEDGMENTS
1- The lineaments in NW-SE direction are of high length
The first author acknowledges the financial support of
(2420 m), the lineaments in718.07 E-W direction are of Lineaments 112while 118.31 2421.49 80423.34
Japan Society for the Promotion of Science (JSPS) for
short length. From the cross-cutting relationships, the
the research activities in Japan. This study is supported
lineaments in NW-SE direction are newer (geological
by KAKENHI (Grant-in-Aid for Exploratory Research
time) than the lineaments in E-W direction. In general,
by JSPS) No. 17651100 (Principal Researcher: Yasuhiro
a newer fault cuts an older fault (cited by Warvelle,
Fujimitsu)
All
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13