Journal of Applied Mathematics and Physics, 2014, 2, 284-295
Published Online May 2014 in SciRes. http://www.scirp.org/journal/jamp
http://dx.doi.org/10.4236/jamp.2014.26034
How to cite this paper: Li, L.L., Zhao, H.B. and Han, X.H. (2014) Rock Physical Experimental Research in Tanan Volcanic Rock
Reservoir. Journal of Applied Mathematics and Physics, 2, 284-295. http://dx.doi.org/10.4236/jamp.2014.26034
Rock Physical Experimental Research in
Tanan Volcanic Rock Reservoir
Lailin Li1, Haibo Zhao1, Xuehui Han2
1Oil Exploration and Development Research Institute of Daqing, Daqing, China
2China University of Petroleum (East China), Qingdao, China
Email: lill@p etrochina .com.cn
Received N ove mber 20 13
Abstract
Under the condition of simulated formation temperature and pressure, the compression and
shear wave velocity of the tuffaceous conglomerates and rock-fragment sandstones of the reser-
voirs in K1t , k1n group of Cretaceous system in Tanan are measured. The effects of lithology, min-
eral content, density, porosity, shale content, and water saturation on the acoustic velocity of the
athrogenic rock are studied. Within the limits of our observation, some rules are found: (1) the
velocity of the fine tuffaceous conglomerates is remarkably greater than that of the tuffaceous
rock-fragment sandstones with good physical property; ( 2) the compression velocity increases
with fragment content, and decreases with quartz and feldspar content in the mud; (3) the com-
pression velocity increases with density, especially, in tuffaceous rock-fragment sandstones, the
velocity keeps a good relation with density in form of power function; (4) compression and shear
wave velocity decreases with porosity and shale content, velocity of the tuffaceous rock-fragment
sandstones keeps a good relation with porosity and shale content in form of negative linear func-
tion, but effects of shale content is only 1/5 to 1/10 of that of the porosity, hence can be neglected;
(5) with porosity increases, compression wave velocity is relatively sensitive to fluid alternation,
and the rang in which velocity varies keeps positive correlation with porosity. The result provides
a foundation for the research of seismic and logging data evaluation approaches in athrogenic
rock reservoirs, Haita basin.
Keywords
Tuffaceous Rock-Fragment Sandstones, Acoustic Velocity, Porosity, Shale Content, Density, Water
Satur ation
1. Introduction
Haita Basin is a part of Central Asia-Ancient Aulacogen, which belongs to EerguNa-Greater Khingan Range
tectonic zone. Tongbomiao Formation and Nantun Formation in the lower Cretaceous of Zhalainuoer group de-
velop a large number of oil-bearing tight tuffaceous conglomerate and medium to low porosity and permeability
rock-fragment sandstone reservoirs, which forms the main area for improving the production and has great po-
L. L. Li et al.
285
tential for prospecting [1]. At present, due to the lack of adequate understanding of the factors that affect the ve-
locity of the volcano clastic rock in Haita Basin, the seismic and logging data can’t be applied to predict the li-
thology of rock, calculate the porosity and detect the oil and gas effectively. Therefore, a detailed research on
the influencing factors of velocity in the volcano clastic rock in Haita Basin is needed.
Until now, many researches have been done on the velocity properties and influencing factors of velocity (li-
thology, physical properties, fluid properties, density and environmental factors) in the sedimentary reservoirs.
For instance, Wyllie (1956) proposed time average equation [2], Simmons (1964) gave the general linear rela-
tionship between the acoustic velocity and the component of rock and its density [3], Ma and Jie combined
compressional wave velocity and shear wave velocity with density by least square method and proposed general
Gardner Equation in 2005 [4], critical porosity was proposed by Nur et al. in 1992 [5], Han (1986) established
empirical relationship for clasolite to describe the influence of lithology and physical properties on the acoustic
velocity [6], Biot (1956) and Gassmann (1951) obtained the equation to describe the influence of fluid on the
rock acoustic velocity [7] [8], many other equations are also established based on them to describe fluid effect
(such as Macko-jizba Formula [9]), Garden (1974) proposed the power function relationship between the acous-
tic velocity and density [10], Gan (2002) [11] ,Ma and Wu (2006) [12], Mavko (1998) [13], Han and Nur (1986)
also carried out the experiments to investigate the influence of pressure and temperature on the velocity and its
physical mechanism. However, few researches are done on volcano clastic rock and there are not many related
papers. Schön (1996) [14] did a lot of statistical work on the acoustic velocity data of igneous rock and found
that, the compressional wave velocity decreases with the increase of SiO2 in the rock, Khatchikian(1982) [15]
combined density, neutron and acoustic logging curves to determine the lithology of igneous rock and calculated
the porosity of reservoirs.
The compressional and shear wave velocities of conglomerate and tuffaceous rock-fragment sandstone in Ta-
nan were measured in this paper. The influences of lithology, mineral content, density, porosity, clay content
and fluid saturation on the compressional and shear wave velocity are then analyzed, which provide the experi-
mental foundation for employing seismic and logging data to predict the lithology, calculate porosity and recog-
nize the fluid type.
2. Geological Characteristics of Volcano Clastic Sandstone Reservoirs
The core samples are obtained from Nantun Formation and Tongbomiao Formation of Cretaceous in Tanan.
Through the thin section analysis, it shows that the core samples belong to tuffaceous conglomerate, tuffaceous
rock-fragment sandstone and tuff. The sandstone is mainly composed of quartz, feldspar and magmatite debris,
the void space in the sandstone is filled by tuff. The samples have low degree of sorting and the degree of wea-
thering is moderate to high, the roundness of the grains is mainly subangular and subangular-subround. The
samples are supported by grains or clay, the contact types between the grains are no contact to point contact and
point contact to line contact, the porosity types belong to original granular porosity and granular increment po-
rosity, the samples are pore cemented. Among the samples, the tuffaceous rock-fragment sandstone has better
physical properties than the other samples (the average porosity is 9.96%, the average permeability is 28.01 mD,
the shale content is low), it is the main reservoir of this area. The tuffaceous conglomerate with better physical
properties can also be the good reservoirs. Appendix 1 gives the results of thin section analysis.
3. Experimental Methods
3.1. The Measurement of Porosity, Permeability, Clay Content and Density
The porosity and permeability of samples are measured by CMS300 which is made by CORELAB Company of
US. Under the simulated formation pressure ( effective pressure is 25 MPa), the average porosity of the samples
ranges from 0.02% to 21.19%, the average value is 6.21%, the permeability is distributed between 0.01 mD and
793 mD, the average value is 12.61 mD. The shale content is determined by MASTERSIZER-2000 Laser Par-
ticle Size Analyzer, the shale content ranges from 14.2% to 38.6%, the average value is 24.18%. The density of
core samples is calculated using the mass of the core samples, the matrix volume and void space volume meas-
ured by CMS300. The measurement results are shown in Appendix 2.
g por
m
VV
ρ
=+
(1)
L. L. Li et al.
286
where
ρ
is the density, g/cm3; m is the mass of the samples; Vg, Vpor are matrix volume and void space vo-
lume respectively, cm3.
3.2. Measurement of Acoustic Velocity
The acoustic velocities of core samples are measured by Multi Parameter Measurement System Under HPHT
made by China University of Petroleum (East China). The measurement system is showed in Figure 1(a). From
the Figure 1(a), we can see that the system is composed of four parts: hydraulic pump, temperature control unit,
sample length measurement unit (micro displacement sensor) and data acquisition (Figure 1(b)), the velocity of
the core samples can be measured under the simulated formation temperature (150˚C), and pressure ( confining
pressure, axle pressure and effective pressure 70 MPa). Ultrasonic Pulse Transmission Method is employed in
the measurement of compressional and shear wave velocity. The acoustic velocity of the medium is calculated
through the ratio of the length of transmission L to the arrival time t subtracted the system zero time t0, i.e.
0
(- )V Ltt=
(2)
where V is the acoustic velocity, m/s; L is the length of the core samples, m; t is the arrival time of the sound
wave; to is the zero time of the system, s. The frequencies of the wafers for compressional and shear wave are
1.2 MHZ and 0.6 MHZ, respectively. The frequencies of detectors for compressional and shear wave are 0.25
MHZ and 0.12 MHZ, respectively. The relative uncertainty for the measurement of compressional wave velocity
is 0.3% - 0.9%, that for shear wave velocity is 0.8% - 1.4%. In this experiment, the compressional and shear
wave velocities of the dry, brine bearing (the salinity is 5000 mg/L) and oil bearing( the density of the simulated
oil is 0.798g/cm3, the viscosity is 3.52 mPa*s) samples are measured under the formation condition ( tempera-
ture is 90˚C, confining pressure is 50 MPa, the porosity pressure is 25 MPa). The measurement results are
showed in Appendix 2.
4. The Analysis of the Factors That Affect the Acoustic Velocity
4.1. The Influence of Mineral Content and Lithology on the Acoustic Velocity
The influences of quartz, feldspar, magmatite debris and tuff on the compressional and shear wave velocities of
dry core samples are presented in Figure 2. The lithology and mineral content are determined by thin section.
The results show that the compressional and shear wave velocities decrease with the increase of the content of
quartz and feldspar as a whole, but they increase as the content of magmatite debris increase. The content of tuff
is found to have little relationship with the acoustic velocities. Among all the core samples, the velocities of the
tight tuffaceous conglomerate are found to be obviously higher than those of the tuffaceous conglomerate and
tuffaceous rock-fragment sandstones with good physical properties, through careful analysis, it is believed that it
is mainly because of the low content of quartz (≤10%) and high content of magmatite debris (≥60%) in the tight
tuffaceous conglomerate. Some of the data points in the Figure 2 do not fit the allover trend, it is maybe due to
the different geometry, distribution, cementation of the minerals and the porosity between the mineral grains.
Figure 1. Sketch map of measurement system for acoustic parameters of core samples. 1hydraulic pump;
2—fluid pipeline; 3—fluid container; 4Pressure gauge; 5hassler holder; 6entr y of Axial pressure;
7—entr y of Central pressure; 8Micro -displacement Sensor; 9Acoustic data line; 10Agilent Oscil-
loscope;11Pulse generator.
L. L. Li et al.
287
(a) (b)
(c) (d)
Figure 2. Compressional and shear wave velocities versus content of Quar tz (a); Fel dspar (b); Magmatic rock debris (c)
and Tuffaceous miscellaneous base (d).
4.2. The Influence of Density of Core Samples on the Velocities
Figure 3 shows the cross-plot of the compressional and shear wave velocities versus the density of core samples
ρ
. The results show that the compressional and shear wave velocities of the core samples increase with their
density. The data points with relative high compressional and shear wave velocities in Figure 3 are tuffaceous
conglomerate (it is showed in the ellipse of the upper right side of Figure 3). The tuffaceous rock-fragment
sandstones and tuffaceous conglomerate can be separated by the compressional velocities as a whole and the
value is about 5300 m/s. Table 1 is the relationship between the density of tuffaceous rock-fragment sandstones
ρ
and the acoustic velocities. It is found that the difference between the correlation coefficient of the fitting
formula obtained from general Gardner Formula and that obtained from Gardenr Formula is not large, the for-
mer just improves a little. With the lack of shear wave velocities, we can only use compressional wave velocities
to inverse the density
ρ
, it can also get good results. Ma and Xie (2005) also got similar results.
4.3. The Influence of Porosity and Shale Content on the Acoustic Velocity
Through the literature review [16]-[19], we can see that the compressional and shear wave velocities of samples
decrease with the increase of porosity, the influence of shale content on the acoustic velocities is much more
complicated, for the sandstone with good consolidation, the increase of clay content will lead to the decrease of
acoustic velocities, but it will cause a slight increase in the acoustic velocities for the sandstone with weak con-
solidation. Generally speaking, the shale content is the leading reason for the scattering of the data points in the
L. L. Li et al.
288
(a)
(b)
Figure 3. Compressional wave (a) and shear wave (b) velo ci-
ties versus density.
Table 1. The fitting equation between density and compressional or shear wave velocities.
Status of
Samples
Fitting
Formula (Vp) Coefficient Fitting Formula (Vs) Coefficient General Gardner Coeffici ent
Dry
0.537
1.095
p
V
ρ
=
R = 0.86
R = 0.85
0.318 0.222
1.218
pS
VV
ρ
=
R = 0.88
Brine bearing
0.408
1.332
p
V
ρ
=
R = 0.81
R = 0.82
0.157 0.158
1.697
pS
VV
ρ
=
R = 0.87
Oil bearing
0.418
1.314
p
V
ρ
=
R = 0.87
0.314
s
1.839 V
ρ
=
R = 0.82
0.427 0.006
1.306
pS
VV
ρ
=
R = 0.87
Note: The unit for acoustic velocity is m/s, that for the density of the samples is g/cm3.
velocity-porosity cross-plot. According to the linear empirical relationship gave by Han (1986) [20], the rela-
tionship between the compressional and shear wave velocities and the porosity-shale content is fitted (Table 2).
sh
Va bcV
ϕ
=++
(3)
where V is the acoustic velocity, km/s;
φ
is the porosity of the samples, %;
sh
V
is the shale content of sam-
ples, %;
cab、 、
are the constants obtained by the experiments.
The study shows that there is an obvious negative linear correlation between tuffaceous rock-fragment sand-
stone and the porosity, shale content (R 0.85), the influence of shale content on the compressional and shear
L. L. Li et al.
289
Table 2. Fitting formula of density and compressional and shear wave velocities on porisity and clay content.
Status Expression Correlation coeffici ent
Dry sample
5.12 6.980.4
p sh
VV
ϕ
=−−
R = 0.86
3.33 4.910.82
s sh
VV
ϕ
=−−
R = 0.87
Brine bearing
5.45 6.120.5
p sh
VV
ϕ
=−−
R = 0.87
3.28 5.70.75
s sh
VV
ϕ
=−−
R = 0.89
Oil bearing
5.46 7.180.65
p sh
VV
ϕ
=−−
R = 0.90
3.31 5.10.83
s sh
VV
ϕ
=−−
R = 0.88
wave velocities is only about 1/5 - 1/10 of that of porosity. Therefore, the influence of shale content on acoustic
velocities is very weak and can be ignored. This result is different from Han’s which is based on the experimen-
tal data from 75 shale sandstone samples in Gulf of Mexico, his result shows that the influence of shale content
is about 1/3 of that of porosity. Through careful analysis, the main reason for the difference may be that the
shale in the volcanic clastic rock is mainly composed of tuff, the main component of tuff is volcanic debris,
whose acoustic velocity is much higher than that of clay and is near to that of matrix, this will weaken the influ-
ence of shale content to a certain degree. Until now, there are only experimental results for the tuffaceous rock-
fragment sandstone in the cretaceous of Haita Basin,it needs further research on this aspect.
4.4. The Influence of Pore Fluid on the Acoustic Velocity
The influence of pore fluid on the acoustic velocity is investigated through fluid substitution. The theories
usually used in the analysis are Biot Theory and Gassman Equation. The difference in compressional and shear
wave velocities between brine-bearing and oil-bearing versus porosity is showed in Figure 4.
From Figure 4, we can see that the absolute value of the difference in compressional and shear wave veloci-
ties between brine-bearing and oil-bearing samples increases with the porosity. The compressional wave veloci-
ty of brine-bearing samples is higher than that of oil-bearing, the absolute change rate ranges from 0300 m/s,
the relative change rate (relative to the compressional velocities of oil-bearing samples) is near 6% at most, the
samples are sensitive to the fluid substitution. The shear wave velocities of the brine-bearing samples are rela-
tive small than that of oil-bearing samples, the absolute change rate ranges from 0 - 120 m/s, the relative change
rate is small, the response of fluid substitution is not obvious.
According to Biot Theory and Gassmann Equation, the change of compressional velocity after fluid substitu-
tion is mainly because of the difference in the bulk modulus of the fluid, the bulk modulus of the water is higher
than that of the oil, so the brine-bearing core samples have higher velocities than the oil-bearing core samples.
For the change of the shear wave velocities, Wang and Nur (1986) attributed it to the change of the density and
viscosity in the samples. As the fluid substitution won’t cause obvious change in the shear modulus, the decrease
of the density or the increase of viscosity will both increase the shear wave velocity.
5. Conclusion and Discussion
The research is done to investigate the influence of lithology, mineral content, density, porosity, shale content
and fluid saturation on the compressional and shear wave velocities, the following conclusions can be obtained.
1) The compressional and shear wave velocities increase with increase of the content of magmatite debris, but
they decrease with the increase of quartz and feldspar content. It is due to the difference in elastic modulus
and density between magmatite and quartz, feldspar.
2) Tight tuffaceous conglomerate has low content of quartz (≤10%) and high content of magmatite debris
(≥60%), its velocity is obviously higher than the tuffaceous rock-fragment sandstone with good physical pro-
perties. We can use 5300 m/s as the lower velocity bound to separate the compressional velocity of tight
tuffaceous conglomerate and tuffacous rock-fragment sandstone.
3) The compressional and shear wave velocities increase with the increase of density. There is a good power
relationship between the acoustic velocity and the density. In the seismic and logging evaluation work, the
power statistic relationship established by experiments can be applied to predict the shear wave velocity and
L. L. Li et al.
290
(a)
(b)
Figure 4. Difference in compressional wave (a) and Shear
wav e (b) Velocities between brine-bearing and oil-bearing one
Versus Porosity.
reestablish the density logging curve.
4) The compressional and shear wave decrease when the porosity or the shale content increase, the acoustic
velocity of tuffaceous rock-fragment sandstone has good negative linear relationship with the porosity and
shale content. The influence of shale content on the acoustic velocity is only 1/5 - 1/10 of that of porosity,
which may be related to the tuff shale in the samples. Therefore, when calculating the porosity of the
reservoir in cretaceous of Haita, the influence of shale can be ignored.
5) The increase of water saturation will lead to the increase of compressional velocity and the slight decrease of
shear wave velocity. The change of acoustic velocity is positive related to the porosity, but the largest
change can’t exceed 6%. Therefore, if the compressional and shear wave velocities obtained from the seis-
mic and logging data has low uncertainty, it is possible to use the seismic and logging data to recognize the
oil and gas reservoirs with good physical properties.
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Appendix 1: The Date of Thin Section Analysis in Rocks.
Sample
No.
Quartz Feldspa r
Debris Fillings
Denomination
Sedimentary
rock Magmatite Shale Tuff Calcspar Carbonate Silica
(%) (%) (%) (%) (%) (%) (%) (%) (%)
4 34 9 35 7 2 4 1 Tuffaceous rock-fragment
sandstone
5 14 7 3 33 33 6 Tuffaceous rock-fragment
sandstone
6 19 10 53 10 1 Tuffaceous rock-fragment
sandstone
8 24 13 33 4 10 Tuffaceous rock-fragment
sandstone
9 17 14 45 7 1 Tuffaceous rock-fragment
sandstone
10 23 14 36 8 2 5 Tuffaceous rock-fragment
sandstone
11 28 9 4 31 16 4 Tuffaceous rock-fragment
sandstone
14 31 7 48 10 Tuffaceous rock-fragment
sandstone
15 5 4 62 8 18 Tuffaceous conglomerate
16 24 11 41 10 7 2 Tuffaceous rock-fragment
sandstone
17 33 8 41 12 2 Tuffaceous rock-fragment
sandstone
18 25 9 39 19 3 1 Tuffaceous rock-fragment
sandstone
19 23 8 49 7 7 1 Tuffaceous rock-fragment
sandstone
20 4 6 70 15 Tuffaceous conglomerate
23 16 8 51 10 2 Tuffaceous rock-fragment
sandstone
24 19 8 45 15 3 Tuffaceous rock-fragment
sandstone
30 2 3 46 10 4 Tuffaceous conglomerate
31 34 7 41 4 6 Tuffaceous rock-fragment
sandstone
32 29 10 37 2 10 1 Tuffaceous rock-fragment
sandstone
33 28 7 44 3 14 Tuffaceous rock-fragment
sandstone
35 12 13 49 17 Tuffaceous rock-fragment
sandstone
36 15 7 54 15 2 Tuffaceous rock-fragment
sandstone
37 37 11 42 6 2 Tuffaceous rock-fragment
sandstone
38 33 11 30 12 2 Tuffaceous rock-fragment
sandstone
L. L. Li et al.
293
Conti n ue d
41 21 18 37 5 10 Tuffaceous rock-fragment
sandstone
42 29 13 1 29 13 2 Tuffaceous rock-fragment
sandstone
44 35 5 37 20 Tuffaceous rock-fragment
sandstone
46 22 7 42 6 3 Tuffaceous rock-fragment
sandstone
47 16 10 52 9 1 Tuffaceous rock-fragment
sandstone
48 26 7 38 10 Tuffaceous rock-fragment
sandstone
49 21 13 47 6 2 Tuffaceous rock-fragment
sandstone
50 32 8 38 10 1 Tuffaceous rock-fragment
sandstone
51 13 6 62 10 2 Tuffaceous conglomerate
52 30 9 39 10 1 Tuffaceous rock-fragment
sandstone
53 32 11 36 10 2 Tuffaceous rock-fragment
sandstone
55 6 3 67 22 Tuffaceous conglomerate
58 12 6 1 43 25 Tuffaceous rock-fragment
sandstone
59 21 6 3 43 5 4 5 Tuffaceous rock-fragment
sandstone
60 14 7 61 12 Tuffaceous conglomerate
61 33 7 40 11 2 Tuffaceous rock-fragment
sandstone
62 24 7 3 35 5 23 Tuffaceous rock-fragment
sandstone
65 27 12 3 32 9 Tuffaceous rock-fragment
sandstone
66 32 10 30 11 2 Tuffaceous rock-fragment
sandstone
67 3 3 79 11 Tuffaceous conglomerate
68 4 4 75 4 5 Tuffaceous conglomerate
72 27 7 4 33 8 17 Tuffaceous rock-fragment
sandstone
73 21 6 45 4 15 6 Tuffaceous rock-fragment
sandstone
74 22 8 48 18 Tuffaceous rock-fragment
sandstone
75 25 8 47 13 3 Tuffaceous rock-fragment
sandstone
L. L. Li et al.
294
Appendix 2: The Date of Physical Parameters and Compressional and Shear Wave
Velocities in Rocks.
Sample No.
Dry sample Oil-bearing sample Brine-bearing sample
Porosity Shale Permeability
Vp Vs Vp Vs Vp Vs
km/s km/ s km/s km/s km/s km/s % % mD
4 4.56 2.66 4.76 2.64 4.82 2.54 9.78 21.42 0.17
5 4.85 2.75 4.97 2.71 5.01 2.70 3.15 31.93 0.01
6 4.27 2.78 4.62 2.75 4.65 2.69 8.29 21.83 0.03
8 4.21 2.39 4.39 2.35 4.49 2.24 14.47 18.07 1.76
9 4.13 2.48 4.40 2.45 4.58 2.37 12.78 23.28 1.50
10 4.12 2.59 4.51 2.55 4.58 2.48 12.78 19.79 1.05
11 4.21 2.61 4.42 2.58 4.69 2.52 11.42 24.08 0.32
14 4.99 2.78 5.13 2.75 5.17 2.73 3.22 21.01 0.09
15 5.53 3.15 5.62 3.13 5.63 3.11 2.31 29.52 0.10
16 4.51 2.98 4.94 2.96 5.08 2.90 5.25 20.20 0.05
17 5.04 3.17 5.25 3.14 5.35 3.12 3.19 25.70 0.01
18 5.22 3.14 5.35 3.11 5.40 3.11 2.50 22.64 0.01
19 5.00 3.13 5.29 3.10 5.34 3.09 4.33 24.31 0.03
20 5.61 3.17 5.68 3.16 5.72 3.13 4.42 28.35 0.16
21 5.52 3.18 5.69 3.16 5.70 3.16 4.90 32.60 0.29
22 5.42 3.11 5.47 3.09 5.54 3.03 5.91 24.50 0.05
23 3.95 2.40 4.26 2.36 4.55 2.28 15.75 23.49 96.96
24 4.11 2.60 4.41 2.55 4.53 2.47 12.15 30.96 0.04
26 4.68 2.72 4.79 2.69 4.84 2.69 2.69 38.97 0.01
28 5.00 3.04 5.22 3.02 5.37 2.99 5.36 30.14 0.08
30 5.14 2.98 5.24 2.95 5.38 2.92 5.68 29.01 0.20
31 4.39 2.69 4.61 2.69 4.74 2.61 10.68 24.74 0.38
32 4.10 2.38 4.26 2.29 4.41 2.19 13.23 23.53 0.81
33 4.92 2.78 5.08 2.76 5.11 2.74 2.58 22.47 0.03
34 4.83 2.74 4.99 2.73 4.99 2.72 2.04 39.36 0.02
35 4.16 2.48 4.53 2.48 4.68 2.42 7.18 30.01 0.03
36 5.05 3.16 5.16 3.14 5.23 3.11 3.62 26.45 0.00
37 4.96 2.91 5.17 2.90 5.24 2.89 2.63 24.20 0.00
38 3.84 2.39 4.16 2.33 4.38 2.23 17.55 25.57 1.83
41 4.34 2.68 4.63 2.63 4.76 2.55 10.82 21.13 0.45
42 3.58 2.27 3.98 2.22 4.13 2.12 14.77 26.97 0.88
43 4.06 2.46 4.35 2.45 4.42 2.41 4.00 47.66 0.02
L. L. Li et al.
295
Conti n ue d
44 5.21 2.82 5.26 2.80 5.27 2.79 2.35 26.74 0.01
45 4.77 2.63 4.80 2.62 4.94 2.59 4.55 32.66 0.02
46 4.26 2.53 4.54 2.48 4.67 2.37 10.17 24.19 0.71
47 4.55 2.93 4.86 2.85 5.00 2.80 7.24 26.38 0.31
48 4.15 2.54 4.41 2.51 4.59 2.46 12.61 15.57 1.72
49 4.75 2.58 4.84 2.54 5.00 2.48 10.94 34.13 8.07
50 4.21 2.52 4.32 2.48 4.44 2.36 13.46 20.16 1.63
51 5.20 2.88 5.46 2.81 5.52 2.75 8.36 25.58 2.25
52 4.32 2.67 4.54 2.62 4.76 2.52 12.45 17.68 10.46
53 4.35 2.69 4.72 2.69 4.83 2.60 11.98 18.91 0.59
55 5.50 3.21 5.62 3.21 5.67 3.20 1.57 23.91 0.01
57 4.92 2.79 5.10 2.79 5.11 2.73 3.69 27.84 0.20
58 4.61 2.78 4.88 2.75 4.95 2.72 3.18 29.90 0.01
59 4.43 2.85 4.72 2.81 4.81 2.78 8.47 21.62 0.05
60 4.96 2.88 5.20 2.84 5.32 2.80 5.20 26.18 0.24
61 4.44 2.68 4.68 2.63 4.82 2.59 7.00 20.64 0.09
62 4.74 2.74 4.94 2.71 4.95 2.71 2.71 29.29 0.02
65 4.13 2.45 4.24 2.43 4.41 2.35 10.93 38.64 0.81
66 3.38 1.99 3.56 1.93 3.84 1.78 21.19 14.19 793.4
67 5.58 3.02 5.63 3.01 5.68 2.99 3.70 23.17 1.78
68 5.38 2.86 5.44 2.86 5.45 2.85 2.16 29.38 0.03
70 4.58 2.67 4.72 2.63 4.76 2.62 2.94 34.47 0.90
72 4.81 2.84 4.99 2.81 5.02 2.79 2.76 25.07 0.01
73 4.93 2.70 5.14 2.64 5.26 2.59 4.60 29.09 0.02
74 4.35 2.69 4.71 2.67 4.79 2.61 4.58 25.66 0.02
75 4.53 2.87 4.84 2.83 4.90 2.76 5.36 25.40 0.01