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Hindawi Publishing CorporationAdvances in Civil EngineeringVolume 2011, Article ID 867909, 14 pagesdoi:10.1155/2011/867909
Research Article
Stability Evaluation of Volcanic Slope Subjected to Rainfall andFreeze-Thaw Action Based on Field Monitoring
Shima Kawamura1 and Seiichi Miura2
1 Graduate School of Engineering, Muroran Institute of Technology, 27-1 Mizumoto-cho, Muroran 050-8585, Japan2 Graduate School of Engineering, Hokkaido University, Kita 13 Nishi 8, Kita-ku, Sapporo 060-8264, Japan
Correspondence should be addressed to Shima Kawamura, [email protected]
Received 28 May 2011; Accepted 15 July 2011
Academic Editor: Devendra Narain Singh
Copyright © 2011 S. Kawamura and S. Miura. This is an open access article distributed under the Creative Commons AttributionLicense, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properlycited.
Rainfall-induced failures of natural and artificial slopes such as cut slopes, which are subjected to freezing and thawing, have beenfrequently reported in Hokkaido, Japan. In particular, many failures occur intensively from spring to summer seasons. Despitenumerous field studies, explanation of their mechanical behavior based on in situ data has not yet been completely achieved due tothe difficulty in grasping failure conditions. This study aims at clarifying the aspects of in-situ volcanic slopes subjected to rainfalland freeze-thaw action. The changes in soil moisture, pore pressure, deformations, and temperatures in the slope were investigatedusing soil moisture meters, tensiometers, thermocouple sensors, clinometers, settlement gauges, an anemovane, a snow gauge, anda rainfall gauge. The data generated from these measures indicated deformation in the slope examined mainly proceeded duringthe drainage process according to changes in soil moisture. Based on this data, a prediction method for failures is discussed indetail.
1. Introduction
In Hokkaido, Japan, there are over 40 Quaternary volcanoes,and pyroclastic materials cover over 40% of its area. Signifi-cant volcanic activities occurred in the Neogene’s Quaternaryperiod, and various pyroclastic materials such as volcanicash, pumice, and scoria were formed during those eruptions.
Such volcanic soils have been used as a useful con-struction material, especially on foundations or man-madegeotechnical structures (embankments and cut slopes, etc.).However, research on volcanic coarse-grained soils from anengineering standpoint is extremely limited in comparisonwith cohesionless soils (Miura et al. [1]).
Recent earthquakes and heavy rainfalls in Hokkaidogenerated the most serious damage in the ground, naturalslopes, cut slopes, and embankments, which are composedof volcanic soils (e.g., JSSMFE [2], JSCE [3]), as seen in theslope failure of a residential embankment due to the 1991Kushiro-oki earthquake (JSSMFE [2]). Furthermore, cutslope failures attributed to freezing and thawing have alsobeen observed in the Hokkaido expressway in spring andsummer seasons.
Figure 1 shows the mechanism of frost heaving in cutslope and failure modes in cold regions. In cold regions suchas Hokkaido, Japan, slopes freeze from their surface withthe formation of ice lenses during the winter season (seeFigure 1(a)). Thereafter, the frozen soils thaw gradually fromthe ground surface until summer season. In the freezing andthawing sequence, the surface layer of a slope may exhibithigh moisture content over the liquid limit of its soil owing tothe melting of snow and thawing of the ice lenses. As a result,surface failure occurs at the boundary between loose thawingsoil and the frozen layer by water infiltration due to bothrainfall and snow-melting, because the frozen layer works asan impermeable layer (see Figure 1(b)). On the other hand,another failure due to the piping phenomenon of groundwater may also be observed in spring season when porewater pressure increases over the strength of the frozen layer(see Figure 1(c)). Additionally, hollows of ice lenses createdby thawing may generate loose structures in the frozenlayer compared with before the freeze-thaw process (seeFigure 1(d)). Because of this phenomenon, a deeper slopefailure may be induced from summer to autumn seasons.
2 Advances in Civil Engineering
Frost penetrationdepth
Impermeable layer
Formation of ice lens
Chill
Increase ofwater level
Froze
n soil
ground
Mechanism of frost heaving in slope
Unfrozen soil
(a)
Impermeable layer
Froze
n soil
Rainfall
Unfrozen soil
Frost penetrationdepth
Plastic flow of thawing soilwith high moisture content
over liquid limit
(b)
Loose layer composed ofthawing soil with high
moisture content
Frost penetrationdepth
Warmth
Outburst of ground waterwhen pore water pressureincreases over strength of
Frozen soilwith decreasein thickness
Unfrozen soil
Impermeable layer
frozen soil
(c)
Frost penetrationdepth
Slope failure of looselayer composed ofthawing soil due to
rainfall
Unfrozen soil
Rainfall
Slip line
Impermeable layer
(d)
Figure 1: Mechanism of frost heaving in cut slope observed for cold regions and failure modes. (a) Mechanism of frost heaving in slope, (b)surface failure of thawing soil with high moisture content over liquid limit, (c) slope failure due to piping by increase of pore water pressure,and (d) slope failure of loose layer composed thawing soil due to rainfall.
Sapporo
Date
Hakodate
Japan
Tokyo
Monitoring site
Monitoring area
Retaining wall
Route 37
Figure 2: Location of monitoring site in Date, Japan.
For the above reasons, natural disasters such as slopefailure in cold regions is frequently induced in snow-meltingseason and is deemed to be caused by both the increase indegree of saturation arising from thawing water and thechange in deformation strength characteristics of soil result-ing from freeze-thaw action.
A significant amount of research on the mechanisms ofslope failures induced by rainfall has been conducted prima-rily in warm regions. Recently, research on the failure mech-anisms in unsaturated conditions as well as those under sat-uration conditions have been investigated and have beenreported (e.g., Olivares et al. [4], Yagi et al. [5], Orense et al.
Advances in Civil Engineering 3
16
6
1112
2
15 1314 710 9 8
(8)
Th
erm
omet
erin
the
grou
nd
(7)
Th
erm
omet
er
45
1317
(15)
Sett
lem
ent
gau
ge10
0cm
Tolo
wer
slop
e
(3)
Soil
moi
stu
rem
eter
3
(4)
Soil
moi
stu
rem
eter
2
(17)
Soil
moi
stu
rem
eter
4
(16)
Soil
moi
stu
rem
eter
1
(10)
Ten
siom
eter
60cm
(9)
Ten
siom
eter
20cm
(11)
Clin
omet
er
(14)
Sett
lem
ent
gau
ge75
cm(1
3)Se
ttle
men
tga
uge
50cm
(12)
Sett
lem
ent
gau
ge30
cm
Route 37
Slope crown
Directionof view
Berm
Berm
Snow gaugeAnemovane
Scale1 m
Rainfall gauge
Monitoring slope
Monitoring area
Monitoring area
(1,2
)D
rain
pip
e
(5,6
)D
rain
pipe
(a)
2010
30405060
80
100
120
Dep
th(c
m)
Tensiometer
Groundwaterlevel
Settlement gauge
Route 37Retaining
wall
Monitoringinstruments
40◦
40◦
−60 cm(No.(10))
−20 cm(No.(9))
−30 cm(No.(12))
−50 cm(No.(13))
−75 cm(No.(14))
−100 cm(No.(15))
Clinometer(No.(11))
Thermometer(No.(7))
Soil moisture meter(No.(3, 4, 16, 17))
(b)
Figure 3: Setting positions of monitoring instruments; (a) plane section, and (b) cross section.
0.01 0.1 1 10 1000
20
40
60
80
100
Fin
er(%
)
Grain size (mm)Depth
0.05 0.5 5 50
100 120∼ cm
0 ∼ 20 cm20 ∼ 40 cm40 ∼ 60 cm
60 ∼ 80 cm80 ∼ 100 cm
Figure 4: Distributions of grain size of soil samples.
4 Advances in Civil Engineering
Table 1: Specifications of monitoring instruments.
Monitoring instruments Specifications Symbols (unit)
(1) Soil moisture meter Precision: ±0.003% vol, Reading Range: Oven dry to saturation θ (%)
(2) Tensiometer Precision: 0.5% FS, temperature/humidity: −10 to 80◦C (ice-free)/35 to 85% RH P (kPa)
(3) Thermometer Class A, ±(0.15 + 0.002 t)◦C TA, TG (◦C)
(4) Clinometer Precision: ±10 deg, (multiple inclination transducer: 7-layers) (mm)
(5) Settlement gauge Reading range: 0 to 100 mm, temperature: −10 to 70◦C S (mm)
(6) Anemovane Precision: 0.3 m/s ± 3 deg, reading range: 0 to 100 m/s (m/s)
(7) Snow gauge Precision: ±10 mm or 0.4% FS, reading range: 0.5 to 10 m (mm)
(8) Rainfall gauge Precision: ±0.5 mm, reading range: 20 mm (mm/min)
θ: water content by volume, P: pore pressure, TA and TG: temperatures in the air and in the slope, S: settlement.
Soil moisture meter 1
Dep
th
Soil dressing
Volcanic soil withsilt (strong
weathering soil)
(0∼ 20 cm)(0∼ 20 cm)
(0∼ 20 cm)
(0∼ 20 cm)
∼
Natural water content
Liquid limit Plastic limit
Soil moisture meter 1 76.46 60.25 43.02Settlement gauge 69.62 65.27 46.90
Soil moisture meter 3 75.26 56.80 41.36
Soil moisture meter 4 78.44 58.73 33.03
40.43 51.94 25.76
Depth(cm)
WN
(%)ρs
(g/cm3)
ρdmax
(g/cm3) (mm)
0–20 76.46 2.59 1.09 0.827 0.30 5.25
20–40 40.43 2.73 1.13 0.861 0.62 8.09
40–60 45.77 2.78 1.04 0.810 0.70 7.58
60–80 47.47 2.75 1.06 0.822 0.51 7.00
80–100 47.96 2.78 1.02 0.793 0.89 8.46
100–120 52.69 2.79 0.960 0.752 0.72 8.17
Soil moisture meter 1−20 ∼ −40 cm
ρdmin
(g/cm3)
WL (%)WN (%) WP (%)
D50 Uc
Ucρd in situ = 0.915 g/cm3 WN : natural water content, D50: mean grain size, : coefcient of uniformity.
Figure 5: Index properties of soil samples.
[6], and Kitamura et al. [7]). In particular, Yagi et al. [5]indicated the importance of the amount of limited rainfalland proposed a prediction method of failure based on fieldand experimental data for volcanic slopes. On the otherhand, prediction methods of slope failure based on the mon-itoring techniques, for instance prediction using satellite sys-tems and so on, have also been proposed (e.g., Kitamura [8]).
Geotechnical problems on both freeze-thaw and frostheaving actions have been reported by many researchers(e.g., Aoyama et al. [9], Nishimura et al. [10], and Ishikawaet al. [11]). Mechanical behavior of frozen and thawed soilshas been clarified through their efforts, and the importance
of estimation on geotechnical problems has been pointedout.
Additionally, Harris and Davies [12], Harris and Lewk-owicz [13] have investigated the deformation behavior ofslopes subjected to freezing and thawing for slope stability.However, field, experimental, and analytical studies on slopestability due to freezing and thawing sequence have beenrather limited.
The authors have similarly investigated rainfall-inducedfailure of volcanic slopes subjected to freezing-thawing andits mechanisms (Kawamura et al. [14–17]). In previous stud-ies, a series of model tests was performed on volcanic slopes
Advances in Civil Engineering 5
Scale1m
Soil moisture meter Settlement gaugeClinometer Tensiometer
Thermometer
Drain pipe Maximum point
Surface water areaSnow gauge
Rainfall gaugeAnemovane
Foru
pper
slope
Forlow
erslop
e
Berm
Route 37
Slope
crown
Directionof view
Berm
Monitorin
g
area
(a)
0
500
1000
1500
2000
2500
4/1
4/16 5/
1
5/16
5/31
6/15
6/30
7/15
7/30
8/14
8/29
9/13
9/28
10/1
3
10/2
8
11/1
2
11/2
7
Am
oun
tof
surf
ace
wat
er(m
L/m
in)
0
2
4
6
Am
oun
tof
rain
fall
(mm
/10
min
)
20092010
(Month/day)
(b)
Figure 6: Change in amount of surface water at the maximum point during monitoring; (a) the maximum point at plane section and (b)relationship between the amount of surface water and rainfall.
having several slope shapes and water contents. Rainfallintensities were 60 mm/hr, 80 mm/hr and 100 mm/hr, andwere accurately simulated through use of spray nozzle. Dur-ing rainfall tests, pore water pressure behavior, deformationbehavior, and variation in saturation degree were monitored,and the deformation of model slopes was estimated by theparticle image velocimetry (PIV) method. The effects ofthe geometric condition of a slope, rainfall condition, geo-mechanical condition, and freeze-thaw action on the mech-anism were clarified in detail. Of particular significance wasthe finding that the slip line is induced around the depth ofthe frozen area and can be evaluated by the dilatancy behav-ior of soil attributed to freeze-thaw action.
The purposes of this paper are to elucidate the aspectsof soil behaviour in volcanic slopes by various monitoring
instruments and to propose a prediction method for a rapidassessment of failure development in slopes. Field monitor-ing has continued to date from December 1, 2008. Presentedherein are reliable data collected over this period, althoughthere were intervals in which monitoring was not carried out.
2. Location of Monitoring Site andMonitoring Instruments
The monitoring site is located at a cut slope along the Route37 in Date, Japan, where the slope height and the angle arearound 28 m and around 40 degrees, respectively. Accordingto preliminary investigations, the top 20 cm of the surfacewas comprised of silty soil. The layer below 20 cm consists
6 Advances in Civil Engineering
Route 37
Monitorin
g
area
N
unit: m
Slope crown5
1015
20
2530
35
2015
10
10
11
12
Figure 7: Topography of the crown of slope based on surveying.
−20
−10
0
10
20
30
40
2008
/12/
1
2009
/2/1
2009
/4/1
2009
/6/1
2009
/8/1
2009
/10/
1
2009
/12/
1
2010
/2/1
2010
/4/1
2010
/6/1
2010
/8/1
2010
/10/
1
2010
/12/
1
Tem
per
atu
reT
(◦C
)
0
2
4
6
8
Am
oun
tof
rain
fall
(mm
/min
)
TA + 1.8 m TG − 0 cmTG − 10 cm TG − 20 cmTG
TG
− 30 cm TG − 40 cm− 60 cm TG − 80 cm
TG − 100 cm Amount of rainfall (mm/min)
(Year/month/day)
Figure 8: Changes of temperatures in the air and in the slope during monitoring.
mainly of volcanic soil with silty soil. The monitoring site isshown in Figure 2.
In the present study, the following instruments wereadopted in order to monitor soil behavior and temperaturein the air and in the slope: (1) soil moisture meters (timedomain reflectrometry type: TDR), (2) tensiometers, (3)thermocouple sensors, (4) clinometer (multiple inclinationtransducers), (5) settlement gauges, (6) anemovane, (7) snowgauge, and (8) Rainfall gauge, as shown in Figures 3(a) and3(b). These instruments were basically set up at each depthof 20 cm. The specifications of instruments are shown inTable 1. The subscripts in the figures indicate the depths ofposition of the instruments. The symbols used in this studyare also indicated in Table 1. Each data was collected within
the sampling period of 10 minutes and was recorded intoa data logger. The data for every 1 hour is depicted herein.The instruments in this study have been used for anothercold region site in order to discuss slope stability subjected tofreeze-thaw action and their validity has also been confirmed.
The index properties and the grain size distributions ofsoil samples taken from the slope are shown in Figures 4and 5, respectively. As shown in Figure 5, the natural watercontent wN of the slope surface is almost the same as, or morethan, the liquid limit wL of its soil. Owing to this, a part of theslope surface (the thickness of 20 cm) progressively erodedand flowed downward. The deeper parts in the slope werenot destabilized because natural water content is lower thanthe liquid limit.
Advances in Civil Engineering 7
Photo 1: Aspect of slope surface in winter season (2010).
4
12
20
2008
/12/
1
2009
/2/1
2009
/4/1
2009
/6/1
2009
/8/1
2009
/10/
1
2009
/12/
1
2010
/2/1
2010
/4/1
2010
/6/1
2010
/8/1
2010
/10/
1
2010
/12/
1
Pore
pres
sure
(kPa
)
0
10
20
Tem
per
atu
reT
(◦C
)
P −60 cm
TG −20 cm
TG −60 cm
P −20 cm
(Year/month/day)
Figure 9: Relationship between pore pressures and temperatures in the slope.
It has been also confirmed that there were no differencesin index properties due to freeze-thaw actions for 2 years.Figure 6 also illustrates the changes in the amount of surfacewater (including water from underground) at the maximumpoint from April 1, 2009 to November 27, 2010 as comparedwith variation of rainfall. These figures demonstrate thatthe amount of surface water varies through seasons andindicates the maximum value in the snow-melting seasonalthough the peak time differs for each year. Figure 7 showsthe topography of the slope crown, which is depicted in 3Dbased on surveying. It is obvious from this figure that rainfalland snowmelt runoff easily gather around this monitoringarea. As a result, the reason for the high water contentin the slope may be derived from the topography and thecharacteristics of seepage in the slope.
Figure 8 depicts the changes in temperatures (TA: inthe air, TG: in the slope) during monitoring. In the figure,the number of freeze-thaw cycles of the slope surface (TG:0 cm) was 44 times from December 1, 2008 to April 1, 2009and 48 times from December 1, 2009 to April 1, 2010. Asshown in Photo 1, which was taken in the winter 2010, apart of the surface was covered with snow and an ice layer,therefore, it can be said that this slope is located in a severeenvironment. On the other hand, Yamaki et al. [18] reportedthat the number of freeze-thaw cycles was 6 times during thewinter season (from December 8, 2007 to April 1, 2008) inSapporo, Japan, which is near the data collection site for thisstudy. In comparison with other places in cold regions, it isalso pointed out that this area is severe from a geotechnicalperspective. For this reason, field monitoring was carried out
on a volcanic slope under severe environmental conditionsto clarify the features of soil behavior and to propose an eval-uation method for slope stability.
3. Monitoring Results and Discussions
3.1. Aspects of In Situ Volcanic Slope Subjected to Freeze-ThawAction and Rainfall. Figure 9 shows the relationship betweenpore pressure and temperature (TG: in the slope). In thefigure, pore pressure, P, indicates a positive value at the depthof 20 cm and is around 0 kPa at 60 cm although these valuesvary through seasons. Therefore, the monitoring point inthis slope can be evaluated and can be mainly discussed assaturated soil behavior.
Figures 10(a) to 10(d) depict the changes in the consis-tency index, IC = (wL − w)/(wL − wP) at each depth, basedon the index properties shown in Figure 5. The volumetricwater content θ gained by using soil moisture meters can beconverted to water content w by the following relation w =(ρw/ρd)θ, where ρw and ρd are densities of water and dry soil,respectively. In this study, ρdin situ was 0.915 g/cm3 accordingto the sampling data. In the figures, the values in the depth of30 cm indicate around 0.5 or less. This fact implies that theslope may be destabilized by either the amount of rainfall orthe increase of water from underground. It is also interestingthat slope stability can be easily assessed using soil moistureand a simple index.
Figure 11 illustrates the behavior of settlement gainedby using settlement gauges. In the figure, a positive valuemeans settlement toward the inside of the slope. As this figure
8 Advances in Civil Engineering
0
0.5
1
1.5
2
2.5
2008
/12/
1
2009
/2/1
2009
/4/1
2009
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2009
/8/1
2009
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1
2009
/12/
1
2010
/2/1
2010
/4/1
2010
/6/1
2010
/8/1
2010
/10/
1
2010
/12/
1
Con
sist
ency
inde
x,I C
0
2
4
Am
oun
tof
rain
fall
(mm
/min
)
Amount of rainfall (mm/10 min)
IC − 10 cmIC − 20 cmIC − 30 cm
(Year/month/day)
(a)
−0.5
0
0.5
1
1.5
2
2.5
2008
/12/
1
2009
/2/1
2009
/4/1
2009
/6/1
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/8/1
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1
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1
2010
/2/1
Con
sist
ency
inde
x,I C
0
2
4
Am
oun
tof
rain
fall
(mm
/min
)
Amount of rainfall(mm/10 min)
IC − 10 cmIC − 20 cmIC − 30 cm
(Year/month/day)
(b)
0
0.5
1
1.5
2
2.5
2008
/12/
1
2009
/2/1
2009
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2009
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1
2009
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1
2010
/2/1
Con
sist
ency
inde
x,I C
0
2
4
Am
oun
tof
rain
fall
(mm
/min
)
IC − 20 cmIC − 10 cm
Amount of rainfall(mm/10 min)
IC − 30 cm
(Year/month/day)
(c)
0
0.5
1
1.5
2
2.5
2010
/7/7
2010
/8/7
2010
/9/7
2010
/10/
7
2010
/11/
7
Con
sist
ency
inde
x,I C
0
2
4
6
Am
oun
tof
rain
fall
(mm
/min
)
Amount of rainfall(mm/10 min)
IC − 20 cmIC − 10 cm
IC − 30 cm
(Year/month/day)
(d)
Figure 10: Changes in consistency index, IC , for each depth; (a) soil moisture meter 1, (b) soil moisture meter 2, (c) soil moisture meter 3and (d) soil moisture meter 4.
indicates, significant changes were not recognized for eachposition during monitoring, except at the depth of 100 cm.Although the reason for variation at the depth of 100 cmwas not made clear, the surface seems to deform toward theupper side due to frost heaving. On the other hand, changesin displacement using the multiple inclination transducerswere observed over the 2 years (see Figure 12). In particular,it is noted that the displacement gradually increased year byyear and its value induced in the winter season increases 7times more that in the summer.
The surveying results for the monitoring site are depictedin Figures 13(a) and 13(b). Surveying was performed on9 points in the slope, as shown in the figures. The figuresare illustrated as cross and plane sections. As shown in thefigures, the slope deforms perpendicularly and in an upwarddirection on its surface in the winter season, and its directionchanges to a gravitational course in the snow-melting season.
Harris and Davies [12] explained that surface displace-ments during freezing and thawing sequences are composed
of “frost creep” and “gelifluction”, as shown in Figure 14.In the figure, the frost creep denotes mass movement whenfrozen soil thaws and subsides with gravity-induced closureof voids in ice lenses. On the other hand, the gelifluctionindicates mass movement with thawing soils slipping downthe slope. A similar tendency has also been obtained from theresults of a series of model tests (Kawamura et al. [14, 15]).For the above reason, it is important for the evaluation ofslope stability to monitor the deformation of the slope fromwinter seasons to summer seasons.
Figures 15(a) and 15(b) show the changes in water con-tent by volume θ for summer and winter seasons, respec-tively. It should be noted from the figures that volumetricwater content increases with an increase of rainfall and thendecreases with elapsed time over the summer season. In con-trast, the water content increases with a decrease of tem-perature (less than 0◦C) in the slope for winter season anddecreases conversely with an increase of temperature (morethan 0◦C). This indicates that the changes in volumetric
Advances in Civil Engineering 9
−50
−30
−10
10
30
50
70
2008
/12/
1
2009
/2/1
2009
/4/1
2009
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2009
/8/1
2009
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1
2009
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1
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/12/
1
Sett
lem
entS
(mm
)
−15
0
15
30
TA + 1.8 m
TG − 20 cmTG − 50 cm
TG − 70 cmTG − 100 cm
S− 100 cm
S− 25 cm
S− 75 cm
S− 50 cm
Tem
pera
ture
T(◦
C)
(Year/month/day)
Figure 11: Settlement behavior monitored using settlement gauges.
Dep
th(c
m)
Displacement (mm)
−10
−30
−1 1 2 3 4 5 6 7 8 9
−80
−60
−40
−20
0
Displacementsummer season
Displacementwinter season
2009
Displacementwinter season
2008
For upper slopeFor lower slope
2008/12/1 2009/1/1 2009/2/1 2009/3/12009/4/1 2009/8/1 2009/11/1 2009/12/12010/1/1 2010/2/1 2010/3/1 2010/7/12010/8/1 2010/9/1 2010/12/1
(Year/month/day)
Figure 12: Changes in displacements using clinometer (multiple inclination transducers) during 2 years.
water content are induced during the seepage-drainage proc-ess. In the case of surface failure, it is said that one of thecauses of surface failure for cohesionless soils is an increase ofself-weight due to the expansion of an area with high waterretention ability. In a previous study in which a series ofrainfall model tests was performed on volcanic slopes (Kaw-amura et al. [14, 15]), the model slopes suddenly failed atthe peak of saturation degree after the degree of saturationgradually increased. After the failure, the saturation degreedecreased, similar to the data revealed in field monitoring(see Figures 15(a) and 15(b)).
Additionally, it is noteworthy that the value is constantwhen deformation proceeds, for instance it is around 38%
in the slope although the magnitude of deformation is verysmall. If it is assumed that the slope fails progressively byintegration of small displacements, this finding is significantfor the assessment of slope stability on local areas. Hence, thefailure may be predicted if water content at failure is defined.
Figures 16(a) and 16(b) depict the typical changes inwater content by volume θ for drainage process based onthe zone in dotted line in Figure 15. In the figures, a fittingcurve on the drainage process is also depicted as a solid line.As shown in Figure 16(b), variation in the data is observed.The reason for variation was due to the effect of rainfallin the winter season although the data was omitted here.It is conspicuous from the figures that the behavior of soil
10 Advances in Civil Engineering
Section 1 Section 2To
lower
slope
Section 3
To date To muroran
2008/12/19 2009/2/5 2009/5/13
Tou
pperslope
Soil moisture meter Settlement gaugeClinometer TensiometerThermometer
1-1 2-1
2-3
2-2
3-3
3-2
3-1
1-3
1-2
Route 37
Monitoring area
Slope crown
Directionof view
1 m1 mm
Scale
(Year/month/day)
(a)
Section 2
1 cm
1 cm
Tolo
wer
slop
eTo
upp
ersl
ope
To slope
2-3
2-2
2-1
2008/12/19 2009/2/52009/5/13 2010/12/1
To route 37
Tou
pper
slop
e
Section 3
1 cm
1 cm
Tolo
wer
slop
e
To slope
3-3
3-2
3-1
2008/12/19 2009/2/52009/5/13 2010/12/1
To route 37
Section 1
1 cm
1 cm
Tolo
wer
slop
eTo
upp
ersl
ope
To slope
1-3
1-2
1-1
2008/12/19 2009/2/52009/5/13 2010/12/1
To route 37
(Year/month/day)
(b)
Figure 13: Surveying results for monitoring site; (a) plane section, and (b) cross section.
moisture is explained by a simple expression according to thefitting curves based on the least-squares method. Namely thefollowing expression can be obtained:
θ = κ · e−α(t′/T′), (1)
where t′ and T′ are elapsed time from the peak of θ and oneperiod from the peak of θ to the end of drainage process,κ and α denote the peak value and the reduction ratio ofvolumetric water content obtained from fitting curves andare 45.6 and 0.01 in the summer season, 45.3 and 0.006 in thewinter season, respectively. It should be pointed out that bothvalues in summer and winter seasons are almost the same
although it is difficult to define its peak value in field data.As a consequence, it may be useful for disaster mitigation ifsuch a relation may be simply defined for each slope. Furtherconsiderations will be required because the quantity of datais limited.
3.2. A Prediction Method for Surface Failure of In SituVolcanic Slopes Subjected to Rainfall and Freeze-thaw Action.As mentioned above, except for the cases of failure due tothe increase of ground water level, it is significant for theevaluation of slope stability to grasp variation in saturationdegree (the difference in the water holding ability of volcanicslopes) for the seepage-drainage process.
Advances in Civil Engineering 11
Amount of frost heaving
Gelifluction
Frost creep
Frozen surface
Surface before
frost heaving
Surface after
frost heaving
Frost heaving
Settlement due to thawing
Figure 14: Solifluction process composed of “frost creep” and “gelifluction”.
0
10
20
30
40
50
2009
/8/1
5
2009
/8/2
0
2009
/8/2
5
2009
/8/3
0
2009
/9/4
2009
/9/9
2009
/9/1
4
Wat
erco
nte
nt
byvo
lum
eθ
(%)
Am
oun
tof
rain
fall
(mm
/10
min
)
12
14
16
Sett
lem
ent
(mm
)
Amount rain fall (mm/10 min)
θ−10cm θ − 20 cm
θ − 30 cm θ − 80 cmθ − 60 cmθ − 40 cm
Settlement (mm)
θ − 100 cm
(Year/month/day)
(a)
−10
0
10
20
30
40
5020
08/1
2/1
2008
/12/
6
2008
/12/
11
2008
/12/
16
2008
/12/
21
2008
/12/
26
2008
/12/
31
0
4
8
12
Dis
plac
emen
t(m
ult
iple
incl
inat
ion
tran
sdu
cer
(mm
))
Temperature (◦C)
θ − 30 cm θ − 40 cm θ − 60 cm θ − 80 cm
Amount of tilt (mm)
θ − 100 cm
θ − 20 cmθ − 10 cm
Wat
erco
nte
nt
byvo
lum
eθ
(%)
Tem
per
atu
re(◦
C)
(Year/month/day)
(b)
Figure 15: Changes in water content by volume, θ; (a) in summer season, and (b) in winter season.
0 0.2 0.4 0.6 0.8 120
25
30
35
40
45
50
θ = κe−α(t/T)
Wat
erco
nte
nt
byvo
lum
eθ
(%)
Elapsed time t/T
κ α
45.6 0.01
38%
θ
t/T
0 0.2 0.4 0.6 0.8 120
30
40
50(a)The zone in dotted line in Figure14
(a)
0 0.2 0.4 0.6 0.8 1
Elapsed time t/T
20
25
30
35
40
45
50
Wat
erco
nte
nt
byvo
lum
eθ
(%)
κ α
45.3 0.006
38%
θ = κe−α(t/T)
θ
t/T
0 0.2 0.4 0.6 0.8 120
30
40
50The zone in dotted line in Figure14(b)
(b)
Figure 16: Relationship between water content by volume, θ, and normalized time, t′/T ′, for drainage process and fitting curve proposed inthis study; (a) in summer season, and (b) in winter season.
12 Advances in Civil Engineering
0 20 40 60 80 1000
50
100
150
Initial water content w0 (%)
Wat
erco
nte
nt
atfa
ilure
wf
(%)
Without freeze-thaw action
With freeze-thaw action
Kashiwabara TouhoroWithout freeze-thaw actionWith freeze-thaw actionInitial condition
Wf = βW0γ
Figure 17: Relationship between water contents at initial w0 and at failure wf for typical volcanic soils (Kawamura et al. [17]).
0
20
40
60
80
0 20 40 60 80
Initial water content w0 (%)
Wat
erco
nte
nt
atfa
ilure
wf
(%)
Wf = βW0γ
Instability
Depth
20 cm30 cm40 cm
60 cm80 cm100 cm
Estimated( iquid limit)
β = 2.7, γ = 0.8
Estimated( lastic limit)β = 1.3, γ = 0.8
Maximum val
l
ue for monitoring period
p
Figure 18: Relationship between water contents at initial w0 and at failure wf for monitoring site in Date, Hokkaido (using soil moisturemeter 1).
The authors have proposed a prediction method forsurface failure of volcanic slope by considering the charac-teristics of the ability of water retention (e.g., water content)and have revealed that a slip line is induced around the depthof a frozen area. A summary of these findings is provided in(Kawamura et al. [14, 17]).
Figure 17 shows the relationship between water contentsat the initial w0 and at failure wf based on a series ofmodel test results. The details of volcanic soils used in aprevious study were reported by Miura et al. [1]. Thosetypical volcanic soils in Hokkaido, Japan have been referredto as Kashiwabara and Touhoro volcanic soils. As shown inthe figure, there are unique relationships between both watercontents for both types of volcanic soil. The increment ofwater content at failure wf from the initial line becomes asteady state for each material although the relation varies
according to freeze-thaw action. For instance, the followingexpression can be also obtained:
wf = β ·wγ0 , (2)
where β and γ are coefficients, these values are shown inTable 2. From Table 2, it should be noted that these parame-ters of volcanic soils subjected to freeze-thaw process becomealmost the same. Consequently, it is also possible to evaluateslope failure due to rainfall and freeze-thaw process if such arelation can be obtained for the in situ slope.
Similarly, monitoring data is shown in Figure 18. Themaximum value for each layer (20 cm, 30 cm, 40 cm, 60 cm,80 cm, and 100 cm) gained by soil moisture meter 1 was de-picted based on Figure 17. In the present study, it is difficultto actually define slope failure for this site. Therefore, watercontent at failure was tentatively defined as the liquid limit
Advances in Civil Engineering 13
Table 2: Coefficients of β and γ.
Kashiwabara Touhoro
β γ β γ
Without freeze-thaw action 2.4 0.9 4.3 0.7
With freeze-thaw action 2.8 0.8 2.4 0.8
to indicate slope instability, because the monitoring slopedeformed gradually around the liquid limit. The failure linewas predicted based on the liquid limit and γ = 0.8 in (2)of which the consistent value was indicated for both volcanicsoils. It is evident from the figure that the maximum valueis within the range of both limits for each depth and isslightly near to a prediction line based on the liquid limit.In particular, it was noted that the value at 30 cm was on thefailure line. According to Figure 10(a), this data was collectedon February 1, 2009. The reason for high water content is thatthe depth of 30 cm is strongly affected not only by surfacewater due to thawing and melting snow but also water fromunderground. From the results, (2) may explain well the fielddata in volcanic slopes and may evaluate slope stability.
Considering the results of this study, surface failure maybe predicted if the depth of frozen area and the water hold-ing capacity at failure in a slope are simply estimated bymonitoring an index property such as water content. How-ever, it is difficult to accurately define slope failure. In ad-dition, the above results may change with variations in soilmaterials and because of this, changes in the slip line are pre-dicted. At any rate, further considerations will be required.
4. Conclusions
In consideration of the limited results of field monitoring,the following conclusions were derived.
(1) A slope subjected to freezing and thawing deformsperpendicularly and in an upward direction on itssurface in the winter season, and its direction changesto a gravitational course in the snow-melting season.
(2) According to the data collected using soil moisturemeters, water content increased regularly with anincrease of rainfall and then decreased with an in-crease of elapsed times in the summer season. On theother hand, it increased with a decrease in groundtemperature due to freezing and thawing and thendecreased with an increase of temperature. As a re-sult, evaluation of soil moisture may be done forseepage and drainage processes despite variations inall seasons.
(3) Water content by volume became a constant valuewhen deformation in the slope was induced, for in-stance it was around 38% in this case. Surface failuremay be predicted if the depth of frozen area and thewater holding capacity at failure in a slope is simplyestimated by monitoring an index property such aswater content.
Acknowledgments
The authors wish to express their sincere gratitude to Ms. H.Igarashi and H, Terui who conducted a major part of investi-gation for field monitoring (Muroan Institute of Technology,Japan), and Dr. T. Ishikawa and Dr. S. Yokohama (HokkaidoUniversity). This study was undertaken with the financialsupport of Grant-in-Aid for Science Research (no. 19-1),the Ministry of Land, Infrastructure, Transportationn andTourism in Japan.
References
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[13] C. Harris and A. G. Lewkowicz, “An analysis of the stabilityof thawing slopes, Ellesmere Island, Nunavut, Canada,” Cana-dian Geotechnical Journal, vol. 37, no. 2, pp. 449–462, 2000.
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14 Advances in Civil Engineering
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[17] S. Kawamura, S. Miura, and S. Yokohama, “Rainfall-inducedfailure of volcanic slope with crushable particles subjected tofreeze-thaw action,” in Proceedings of the Advances in Geotech-nical Engineering (GeoFrontiers ’11), pp. 3597–3608, Geotech-nical Special Publications, ASCE, no. 211, 2011.
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