Date post: | 25-Jan-2017 |
Category: |
Documents |
Upload: | ruchika-sharma |
View: | 212 times |
Download: | 0 times |
ORIGINAL PAPER
Kinematic rockfall hazard assessment along a transportationcorridor in the Upper Alaknanda valley, Garhwal Himalaya,India
Vikram Gupta • Ruchika Sharma Tandon
Received: 30 April 2014 / Accepted: 6 May 2014
� Springer-Verlag Berlin Heidelberg 2014
Abstract The transportation route between Chamoli and
Badrinath in Uttarakhand is mainly a pilgrimage route to the
famous Badrinath temple, at an elevation of *3,100 m asl.
It is estimated that some two to three million vehicles use
this road annually, particularly between May and October.
The Lesser and Higher Himalayan rocks exposed at 23
localities along the transportation corridor contain numer-
ous joints. In view of their orientation, blocks of rock of
varying sizes are susceptible to falling, endangering the
vehicular traffic and the numerous village settlements along
the route. In this study, kinematic rockfall hazard analysis
was carried out for all the 23 localities where in situ rocks
are observed. The results of the analyses were evaluated and
the areas classified as of low, moderate, or high hazard.
Keywords Kinematic rockfall hazard � Alaknanda
valley � Garhwal Himalaya � India
Introduction
Rockfall was defined by Varnes (1978) as the movement of
fragments or blocks of rock along a vertical or sub-vertical
cliff, which occurs mainly as a consequence of the pre-
sence of intersecting discontinuities in the rocks. Factors
such as weathering state, freeze–thaw action, earthquake,
or the growth of tree roots on the rock surface facilitate the
occurrence of rockfalls (Chen et al. 1994; Wasowski and
Gaudio 2000; Marzorati et al. 2002; Dorren 2003), while
the shape and weight of the blocks and the properties of the
material forming the slope also influence rockfall events
(Giani 1992; Azzoni et al. 1995; Dorren 2003).
Rockfalls may involve free fall, bouncing, or rolling,
depending on the shape of the slope (Ritchie 1963), and
more than one mode of movement may be observed. In the
geodynamically active Himalayas, particularly in the very
steep relief of the Higher Himalaya, rockfalls are quite
common and pose a serious threat to lives and property.
Examples of some of the recent destructive rockfall events
in the Himalayas include the Urni rockfall (Satluj Valley)
in 1994 (Gupta 1998), the Malpa rockfall (Kali Valley) in
1998 (Paul et al. 2000), and the Pareechu rockfall (Spiti
valley) in 2003 (Gupta and Sah 2008).
There are a number of methods and techniques for
evaluating rockfall hazard (Giani 1992). Kinematic rockfall
hazard analysis refers to the geometrical relationship
between the orientation of discontinuity planes and the
orientation of the topography (free face), which determines
the possible motion of a body, without consideration of the
forces involved. It is primarily concerned with the kind of
movement possible and the direction of such movement and
is used to evaluate the potential for planar or wedge failure.
This paper reports the kinematic rockfall hazard analysis
along a transportation corridor between Chamoli and
Badrinath in the Chamoli district of Uttarakhand (Fig. 1).
Site characterisation
Location
The study area is north of Delhi, between longitudes
78�450E and 79�350E and latitudes 30�120N and 30�450N. It
V. Gupta (&)
Wadia Institute of Himalayan Geology, 33 General Mahadeo
Singh Road, Dehra Dun 248 001, Uttarakhand, India
e-mail: [email protected]; [email protected]
R. S. Tandon
National Geotechnical Facility, 11-C, Circular Road,
Dehra Dun 248 001, Uttarakhand, India
123
Bull Eng Geol Environ
DOI 10.1007/s10064-014-0623-7
forms a part of the National Highway (NH-108) and runs
along the Alaknanda river between Chamoli and Badrinath
for a length of *100 km in the Chamoli district of Utta-
rakhand (Fig. 1). The National Highway cuts through the
quaternary deposits and the hard in situ bedrock of the
Lesser and Higher Himalayas. As the Badrinath Temple, a
famous Hindu pilgrimage shrine, is located in the Bamni
village at an elevation of *3,100 m asl, an estimated two
to three million vehicles use the highway annually, par-
ticularly between May and October (Sati et al. 2011). All
along the transportation corridor, there are village settle-
ments (Fig. 1). The study area is characterized by many
active, deep-seated landslides, most of which develop in
the quaternary deposits (Fig. 1). Where the road is cut
through the bedrock, frequent rockfalls occur.
Geology and geomorphology of the area
Geologically, the study area and its surroundings consist of
the rocks of the Lesser and Higher Himalayas, which are
Fig. 1 Location map of the
study area showing the presence
of in situ rock exposures at 23
locations
V. Gupta, R. S. Tandon
123
separated by a major tectonic zone called the ‘Main Central
Thrust’ (MCT). Near the village of Helang (Fig. 2) the
MCT zone is characterized by the rocks of the Munsiari
Group, consisting dominantly of quartzite, mica schist, and
amphibolites. To the north of the MCT zone, the Higher
Himalayan rocks consist mainly of gneisses and quartzite
belonging to the Vaikrita Group. The rocks strike E–W and
dip northwards at between 20� and 60�. To the south of the
MCT zone the Lesser Himalayan sequence is located and
mainly comprises slate, phyllite, quartzite, and dolomite.
The character of these rocks is highly variable. The rocks
near Pipalkoti are anticlinal with a NW–SE trend. The
rocks are variably deformed and highly deformed near
Mayasur. The geological setting of the area and its sur-
roundings has been described in detail by Srivastava and
Ahmad (1979).
In situ rocks are exposed at 23 localities along the
transportation corridor, as shown on Fig. 2. Of these,
localities 1–12 are located in the Higher Himalaya and
13–23 in the Lesser Himalaya. All the rocks in the study
Fig. 2 Geological map of the
study area
Kinematic rockfall hazard assessment
123
area are massive, foliated, and highly jointed, although the
orientation of the joints varies.
Geomorphologically, the area is characterized by high
relief and moderately dissected topography carved into
high ridges and deep valleys. The Badrinath shrine is at
3,100 m asl and the Chamoli township at 950 m asl.
Although the valley slopes in the lower and upper sections
are generally steep to very steep (50�–80�), in the middle
section they are more gentle (between 15� and 35�) and
generally covered with loose quaternary deposits which
vary in thickness from a few centimetres to [50 m on the
gentler slopes. The majority of the study area lies in the
middle and lower parts of the hill slope but upslope of the
NH-108, the valley slope angle varies between 60� and 90�.
Engineering geological characteristics
The engineering geological characteristics of all the rocks
exposed in the study area have been evaluated on the basis
of field observations and laboratory tests, including density,
effective porosity, point load strength index, uniaxial
compressive strength, Schmidt hammer rebound value
(R value), and ultrasonic wave velocities (both P- and
S-waves). The tests were carried out according to ISRM
(1981); the results are presented in Table 1. It can be seen
that all the rocks have moderate density and low porosity.
Most of the rocks are strong to very strong, with UCS
values varying between 40 and 140 MPa, except the
quartzitic phyllite, which is very weak according to Bie-
niawski’s (1979) classification.
The slope mass rating (SMR) system was used to
evaluate the stability of rock slopes (Romana 1985). This is
a modification of the Bieniawski’s rock mass rating (RMR)
and is obtained by subtracting adjustment factors for the
joints/slope relationship and adding a factor related to the
method of excavation using the following equation:
SMR RMRbasic � ðF1;F2;F3Þ þ F4 ð1Þ
where RMRbasic is the rock mass rating according to Bie-
niawski (1979, 1989). Table 2 lists the relative rating of the
five parameters used.
F1, F2, and F3 are the adjustment factors related to joint
orientation with respect to the slope orientation. F1 indi-
cates the degree of parallelism between the strike of the
joint (aj) and the strike of the slope face (as). It ranges from
0.15 (when the angle between the two is [30� and the
failure probability is very low) to 1.0 (when both are
almost parallel and the failure probability is very high).
Empirically, it was established that F1 = (1-sinA)2, where
A denotes the angle between the slope face (as) and the
strike of the joints (aj).
F2 refers to the joint dip angle (bj) in the planar failure
mode and the plunge of the line of intersection of two joints
(bi) in the wedge failure mode. Its value also varies from
0.15 when the dip of the critical joint or the plunge of the
line of intersection of two joints is \20� to 1.0 for joints
when the dip/plunge is [45�. For the toppling mode of
failure, F2 remains equal to 1.0. Empirically, F2 is equal to
tan bj for a planar failure and tan bi for a wedge failure.
F3 refers to the relationship between the declination of
the slope face (bs) and the joint (bj). In planar failure, there
is the probability of joints ‘‘daylighting’’ in the slope face.
Its value varies from 0 to -60. It is zero (failure probability
is very low) when the dip of the joint (bj) or the plunge of
the line of intersection of two or more joints (bi) is [10�lower than the dip of the slope (bs) and is -60 (failure
probability is very high) when the dip of the slope (bs) is
[10� greater than the dip of the joint (bj) or the plunge of
the line of intersection of two or more joints (bi). For the
toppling failure, unfavorable conditions depend upon the
sum of the dip of the joints and the slope (bj ? bs). The
value of adjustment factors F1, F2, and F3 for the different
joint orientations are given in Table 3.
Table 1 Laboratory test results for different rock types encountered in the study area
Rock types Porosity
(%)
Density
(Mg/m3)
Schmidt hammer
rebound (R) value
Point load strength
index (MPa)
Unconfined compressive
strength (UCS) (MPa)
P-wave
velocity
Vp (m/s)
S-wave
velocity
Vs (m/s)
Gneiss 1.21 2.75 35 4.52 51 2,905 1,471
Quartzite
(Higher
Himalaya)
0.76 2.72 52 5.8 88 3,255 1,864
Amphibolite
(gneissic)
0.90 3.19 22 2.70 51 5,245 2,168
Quartzitic
phyllite
2.59 2.77 – 15 4 5,285 3,300
Dolomite 1.21 2.75 34 8.82 40 2,858 1,864
Quartzite (Lesser
Himalaya)
0.50 2.72 62 9.12 140 5,010 3,445
V. Gupta, R. S. Tandon
123
F4 is related to the method of excavation (see Table 4).
In the present study, the intact rock strength was
obtained from uniaxial compressive strength tests carried
out following ISRM (1981). The RQD was calculated in
the field following Priest and Hudson (1976), and a scan-
line survey was used to obtain the average spacing and
condition of discontinuities and the groundwater
conditions.
SMR values were calculated for the 23 field sites
(Table 5) and were divided into five classes of instability
as suggested by Romana (1985) (Table 6). It can be seen
that most of the area in the Higher Himalaya is either
stable or partially stable except at four localities (4, 8, 9,
and 11 on Fig. 2). However, most of the area in the
Lesser Himalaya is unstable, except at locality 22, which
is partially stable.
Table 2 The relative weight of observational and laboratory-determined parameters used to calculate RMRbasic
1 Strength of intact rock
Point load
strength
(MPa)
[10 10–4 4–2 2–1
Uniaxial
compressive
strength,
UCS (MPa)
[250 250–100 100–50 50–25 25–5 5–1 \1
Rating 15 12 7 4 2 1 0
2 RQD (%) 100–90 90–75 75–50 50–25 \25
Rating 20 17 13 8 3
3 Average
spacing of
discontinuity
(m)
[2 2–0.6 0.6–0.2 0.2–0.06 \0.06
Rating 20 15 10 8 5
4 Condition of
discontinuity
Very rough
discontinuity,
no separation,
unweathered
Rough walls,
separation
\0.1 mm,
slightly
weathered
Slightly rough,
separation
\1 mm,
highly
weathered
Slickensides or gouge
\5 mm thick or
separation 1–5 mm,
continuous
Soft gouge [5 mm thick
or separation [5 mm
continuous, decomposed
rock wall
Rating 30 25 20 10 0
5 Groundwater
condition
Completely dry Damp Wet Dripping Flowing
Rating 15 10 7 4 0
Table 3 Values of adjustment factors for different joint orientations (after Romana 1985)
Adjustment
factors
Case of slope failure Very favourable
(very low failure
probability)
Favourable Fair Unfavourable Very unfavourable
(very high failure
probability)
F1 Planar (P)
Toppling (T)
Wedge (W)
|aj - as|
|aj - as - 180|
|aj - as|
[30� 30�–20� 20�–10� 10�–5� \5�
P/W/T F1 rating 0.15 0.40 0.70 0.85 1.00
F2 Planar (P)
Wedge (W)
|bj|
|bi|
\20� 20�–30� 30�–35� 35�–45� [45�
P/W F2 rating 0.15 0.40 0.70 0.85 1.00
T F2 rating 1.00 1.00 1.00 1.00 1.00
F3 Planar (P)
Wedge (W)
|bj - bs|
|bj - bs|
[10� 10�–0� 0� 0�–(-10�) \–10�
T |bj ? bs| \110� 110�–120� [120� – –
P/W/T F3 rating 0 -6 -25 -50 -60
Kinematic rockfall hazard assessment
123
Kinematic analysis of joints
Kinematic analysis geometrically examines the possible
failure direction in a jointed rock mass. The angular rela-
tionship between discontinuities and slope surfaces is used
to determine the potential for and likely modes of failure
(Markland 1972; Goodman 1976; Hocking 1976; Cruden
1978; Lucas 1980; Hoek and Brey 1981; Matherson 1988;
Kliche 1999). For planar failure to occur, the following
geometrical conditions must be satisfied (Fig. 3a):
(a) The plane on which sliding occurs must strike
parallel or nearly parallel (within ±20�) to the slope
face;
(b) The failure plane must ‘‘daylight’’’ in the slope face.
This means that its dip (bj) must be smaller than the
dip of the slope face (bs);
(c) The dip of the failure plane (bj) must be greater than
the friction angle (u) of the discontinuity plane.
For a wedge failure to occur, the line of intersection
must plunge downwards towards and ‘daylight’ out of the
slope face, and thus the following geometrical conditions
must be satisfied (Fig. 3b):
(a) The trend of the line of intersection (ai) must be
oriented within 90� of the dip direction of the slope
face;
(b) The plunge of the line of intersection (bi) must be
smaller than the dip of the slope face (bs);
(c) The plunge of the line of intersection (bi) must be
greater than the friction angle (u) of the discontinu-
ity plane.
The surfaces of discontinuity planes are highly variable,
and thus, the angle of friction is not considered in the
Table 4 Values of adjustment factor F4 for different methods of
excavation (after Romana 1985)
Adjustment
factor
Method of excavation F4
rating
F4 Natural slope ?15
Pre-splitting ?10
Smooth blasting ?8
Normal blasting/mechanical
excavation
0
Poor blasting -8
Table 5 SMR values for all 23 localities along the Badrinath–Chamoli transportation corridor
UCS RQD Av spacing of
discontinuity
Condition of
discontinuity
Groundwater F1 F2 F3 F4 SMR corrected Class Stability
7 13 10 15 15 0.15 0.4 -50 15 72 II Stable
12 13 15 10 15 0.15 0.15 0 15 80 II Stable
7 13 10 15 15 0.15 0.15 -60 -8 50.65 III Partially stable
12 13 15 10 15 0.7 1 -25 -8 39.5 IV Unstable
7 13 10 15 15 0.15 1 -60 -8 43 III Partially stable
7 13 10 10 15 0.15 0.15 0 -8 47 III Partially stable
12 13 15 10 15 0.15 0.15 -60 15 78.65 II Stable
7 13 10 15 15 0.7 1 -60 -8 10 V Completely unstable
7 13 10 10 15 0.15 1 -60 -8 38 IV Unstable
7 13 15 15 15 0.15 0.85 -60 -8 49.35 III Partially stable
7 8 10 10 15 1 0.15 -60 -8 33 IV Unstable
6 13 8 10 15 0.15 0.15 -50 -8 42.88 III Partially stable
7 13 15 10 15 0.85 1 -60 -8 1 V Completely unstable
12 13 10 10 15 0.4 1 -60 -8 28 IV Unstable
4 13 10 10 15 0.7 1 -60 -8 2 V Completely unstable
4 8 5 8 15 0.85 1 -60 -8 -19 V Completely unstable
7 13 10 15 15 0.4 1 -60 -8 28 IV Unstable
4 8 5 8 15 1 1 -50 -8 -18 V Completely unstable
4 8 5 8 15 0.7 1 -60 -8 -10 V Completely unstable
4 8 5 8 15 0.85 1 -50 -8 -10.5 V Completely unstable
4 13 8 8 15 0.7 0.85 -60 -8 4.3 V Completely unstable
12 13 10 15 15 0.85 1 -6 -8 51.9 III Partially stable
12 13 15 15 15 0.7 1 -60 -8 20 V Completely unstable
V. Gupta, R. S. Tandon
123
analyses. Its value is assumed to be zero as the worst-case
scenario.
At each locality, *50 joint readings were taken, as
well as foliation and slope data (direction as well as
amount) as suggested by ISRM (1978), and plotted on the
lower hemisphere of a stereonet and contoured using the
Dips v 5.1 program (Fig. 4). In the litho-units of the
Higher Himalaya between Badrinath and Helang (locali-
ties 1–12) two to three joint sets were present in addition
to the foliation surfaces, whereas 3–5 prominent joint sets
were present in the litho-units of the Lesser Himalaya
between Helang and Chamoli (in addition to the foliation
surfaces).
(a) Locality numbers 6, 7, and 12 are characterised by
one joint set.
(b) Locality numbers 2–5, 9, 11, and 21 are character-
ized by two joint sets.
Table 6 Various stability classifications from the SMR method together with the failure potential and probability of failure (after Romana 1985)
Class no. V IV III II I
SMR value 0–20 21–40 41–60 61–80 81–100
Rock mass
description
Very bad Bad Normal Good Very good
Stability Completely unstable Unstable Partially stable Stable Completely stable
Failures Big planar or soil-like
or circular
Planar or big
wedges
Planar along some
joints and many
wedges
Some block
failures
No failure
Probability of failure 0.9 0.6 0.4 0.2 0
Fig. 3 Block diagrams and stereo-plot of structural discontinuities for a planar failure b wedge failure
Kinematic rockfall hazard assessment
123
(c) Locality numbers 1, 8, 10, 14, and 17 are charac-
terized by three joint sets.
(d) Locality numbers 13, 15–16, 18–20, and 22–23 are
characterized by 4–5 joint sets.
Random joints are present at localities 1, 3, 7–9, 11, 12,
14, and 19–20.
The relative position of the planes representing joint
sets, foliation planes, the slope faces, and possible wedge
Fig. 4 Lower hemisphere stereographic plots of the discontinuities together with the foliation and slope for all 23 localities
V. Gupta, R. S. Tandon
123
Fig. 4 continued
Kinematic rockfall hazard assessment
123
Table 7 Joint sets, foliation, and the slope data at 23 localities including joints likely to be involved in failure (planar as well as wedge) and the
classification of the area as low, moderate, or high hazard potential
Site no. Slope
(amount/
direction)
Foliation (dip
amount/dip
direction)
Joints (dip
amount/dip
direction)
Random Joints
(dip amount/dip
direction)
Joints
responsible for
Planar Failure
Joints responsible for
wedge failure (plunge/trend
of the line of intersection)
Hazard class
1 30�/210 55�/345 (J1) 61�/129
(J2) 45�/143
(J3) 40�/200
(R1) 59�/085 J3 J1–J2 (27�/203) Low
2 30�/325 48�/006 (J1) 43�/135
(J2) 67�/093
Foliation joint
Nil Nil No
3 20�/230 35�/005 (J1) 50�/204
(J2) 69�/259
(R1) 15�/282
(R2) 56�/019
Nil Foliation—J1 (08�/286) Low
4 80�/80 42�/010 (J1) 80�/100
(J2) 41�/150
Foliation Foliation—J1 (41�/018)
Foliation—J2 (16�/079)
Moderate
5 80�/45 49�/007 (J1) 66�/090
(J2) 42�/117
Nil Foliation—J1 (47�/028)
Foliation—J2 (30�/067)
Low—moderate
6 90�/100 44�/015 (J1) 85�/150 Nil Foliation—J1 (33�/063) Low
7 88�/075 45�/021 (J1) 74�/209
Foliation joint
(R1) 28�/159 Nil Foliation—R1 (14�/095)
J1–R1 (25�/126)
Low
8 80�/250 49�/011 (J1) 48�/239
(J2) 74�/293
(J3) 55�/168
(R1) 85�/270 J1 J1–J2 (46�/219)
J1–J3 (42�/216)
J2–J3 (42�/217)
J1–J2–J3 (44�/218)
High
9 75�/195 62�/015 (J1) 79�/163
(J2) 66�/305
(R1) 79�/140
(R2) 58�/140
(R3) 52�/100
(R4) 44�/180
(R5) 29�/359
(R6) 73�/280
(R4) J1–J2 (45�/241) Low
10 75�/345 39�/014 (J1) 80�/270
(J2) 58�/236
(J3) 64�/314
Nil Foliation—J1 (37�/353)
J1–J3 (60�/342)
Low—moderate
11 60�/360 28�/359 (J1) 69�/212
(J2) 66�/305
(R1) 75�/104
(R2) 39�/230
(R3) 72�/260
(R4) 79�/279
Foliation Foliation—J2 (26�/020)
Foliation—R3 (26�/340)
Foliation—R4 (28�/002)
J2–R4 (58�/351)
Low
12 40�/290 51�/046 highly
variable with
? -20
(J1) 33�/176 (R1) 68�/225
(R2) 70�/019
(R3) 44�/140
(R4) 58�/199
(R5) 64�/270
(R6) 28�/018
(R7) 60�/340
Nil R1–R2 (32�/301) Low
13 75�/285 30�/010 (J1) 61�/213
(J2) 77�/277
(J3) 47�/267
(J4) 60�/359
J2
J3
Foliation—J1 (10�/297)
Foliation—J2 (29�/000)
Foliation—J3 (25�/331)
J1–J3 (14�/190)
J1–J4 (27�/285)
J2–J4 (59�/344)
J3–J4 (42�/300)
High
V. Gupta, R. S. Tandon
123
Table 7 continued
Site no. Slope
(amount/
direction)
Foliation (dip
amount/dip
direction)
Joints (dip
amount/dip
direction)
Random Joints
(dip amount/dip
direction)
Joints
responsible for
Planar Failure
Joints responsible for
wedge failure (plunge/trend
of the line of intersection)
Hazard class
14 87�/300 35�/030 (J1) 82�/74
(J2) 65�/240
(J3) 79�/212
(R1) 23�/016
(R2) 69�/079
(R3) 58�/033
(R4) 60�/160
Nil J1–J3 (79�/229)
J2–J3 (57�/284)
Low—moderate
15 88�/340 40�/030 (J1) 78�/065
(J2) 70�/263
(J3) 77�/323
(J4) 54�/310
(J5) 18�/154
J3 Foliation—J4 (37�/004)
J1–J3 (48�/349)
J1–J4 (18�/150)
J2–J3 (54�/323)
J2–J4 (04�/233)
J2–J5 (24�/239)
J1–J2—Foliation (29�/340)
High
16 80�/360 63�/356 (J1) 78�/085
(J2) 39�/019
(J3) 79�/280
(J4) 9�/187
Foliation joint
Foliation joint
J2
Foliation—J1 (61�/018)
Foliation—J3 (62�/350)
J1–J2–J3 (38�/003)
J2–J3 (37�/001)
High
17 85�/320 15�/025 (J1) 71�/221
(J2) 54�/349
(J3) 85�/249
J2 J1–J2 (39�/294)
J2–J3 (53�/332)
Moderate
18 70�/080 35�/350 (J1) 70�/085
(J2) 88�/340
(J3) 79�/255
(J4) 54�/346
J1 Foliation—J1 (33�/009)
J1–J2 (69�/063)
J1–J4 (49�/018)
High
19 70�/330 27�/135 (J1) 52�/342
(J2) 49�/052
(J3) 55�/305
(J4) 77�/238
(R1) 81�/114
(R2) 64�/023
(R3) 80�/349
(R4) 78�/285
J1
J3
J1–J2 (45�/020)
J1–J3 (55�/333)
J1–J4 (48�/313)
J2–J3 (36�/002)
J3–J4 (56�/306)
High
20 70�/025 50�/340 (J1) 34�/029
(J2) 69�/019
(J3) 25�/079
(J4) 37�/270
Foliation joint
(R1) 90�/149
(R2) 59�/060
(R3) 48�/160
(R4) 64�/250
J1
J2
Foliation—J1 (34�/035)
J1–J3 (26�/075)
Moderate—high
21 80�/010 35�/200 (J1) 43�/029
(J2) 10�/190
J1 Nil Low
22 50�/340 19�/200 (J1) 69�/059
(J2) 74�/040
(J3) 54�/344
(J4) 66�/314
J3 Nil Low
23 80�/010 35�/160 (J1) 84�/229
(J2) 71�/265
(J3) 23�/209
(J4) 50�/359
J4 Foliation—J4 (08�/081)
J1–J2 (65�/307)
J1–J4 (41�/313)
J2–J4 (48�/333)
High
Kinematic rockfall hazard assessment
123
intersections were compared visually to identify which
slopes have plane or wedge failure conditions (Fig. 4). The
results are summarised in Table 7.
Conclusions
The stability of the rock slopes along a pilgrimage route
through the Lesser and Higher Himalayas was assessed
using kinematic analysis and an SMR system. Twenty-
three localities were considered where in situ rocks are
exposed along the transportation corridor between Chamoli
and Badrinath. Of these, 12 localities are located in the
Higher Himalaya and 13 in the Lesser Himalaya.
In the kinematic analyses, the area was classified as
having a low hazard potential if there were up to two joints
or intersections of joints susceptible to fall; moderate
hazard potential was 2–4 joints or intersections of joints
susceptible to fall, and high hazard potential was[4 joints
or intersections of joints susceptible to fall.
The results indicated that most of the Higher Himalaya
area falls either in the low hazard or moderate hazard
category, while the area in the Lesser Himalaya falls in the
moderate to high hazard potential, with the exception of
localities 21 and 22.
The stability class determined from the SMR classifi-
cation of the rocks conforms well with the hazard potential
indicated by the kinematic analyses of the joints. In the
Higher Himalaya, the SMR method classified the rock
mass as dominantly class II (stable) or class III (partially
stable) with the exception of localities 4, 8, 9, and 11,
which were unstable or marginally stable. In the Lesser
Himalaya area, the SMR method classified the rock mass
either as class IV (unstable) or class V (completely
unstable) with the exception of locality 22, which was class
III (partially stable).
At localities 16 and 18–20, the SMR values were neg-
ative. This may be attributable to the thinly bedded and
fissile nature of the rock mass.
Acknowledgments The authors thank the Director, Prof. Anil K.
Gupta, for providing all the necessary facilities and his constant
encouragement to publish the paper.
References
Azzoni A, Barbera LG, Zaninetti A (1995) Analysis and prediction of
rockfalls using a mathematical model. Int J Rock Mech Min Sci
Geotech Abstr 32:709–724
Bieniawski ZT (1979) The geomechanics classification in rock
engineering applications. In: Proceedings 4th International
Congress on Rock Mechanics, Momtreux, vol 2, pp 41–48
Bieniawski ZT (1989) Engineering rock mass classification. Wiley-
Interscience, New York
Chen H, Chen RH, Huang TH (1994) An application of an analytical
model to a slope subject to rockfalls. Bull Assoc Eng Geol
31:447–458
Cruden DM (1978) Discussion of G. Hocking’s paper ‘‘A method for
distinguishing between single and double plane sliding of tetrahe-
dral wedges’’. Int J Rock Mech Min Sci Geotech Abstr 15:217
Dorren LKA (2003) A review of rockfall mechanics and modeling
approaches. Progr Phys Geogr 27:69–87
Giani GP (1992) Rock slope stability analysis. A.A Balkema,
Rotterdam
Goodman RE (1976) Methods of geological engineering in discon-
tinuous rocks. West Publishing, San Francisco
Gupta V (1998) Structure and geomorphology of the Upper Satluj
Valley, District Kinnaur, Himachal Pradesh with special refer-
ence to landslides. Unpublished D.Phil. thesis, H.N.B. Garhwal
University, Srinagar
Gupta V, Sah MP (2008) Impact of the trans-Himalayan landslide
lake outburst flood (LLOF) in the Satluj catchment, Himachal
Pradesh, India. Nat Hazards 45:379–390. doi:10.1007/s11069-
007-9174-6
Hocking G (1976) A method for distinguishing between single and
double plane sliding of tetrahedral wedges. Int J Rock Mech Min
Sci Geomech Abstr 13:225–226
Hoek E, Brey J (1981) Rock slope engineering. Institution of Mining
and Metallurgy, London
ISRM (1978) Suggested methods for the quantitative description of
discontinuities in rock masses. In: ET Brown (ed) Rock
characterization testing and monitoring, Pergamon
ISRM (1981) Suggested methods for determining the uniaxial
compressive strength and deformability of rock materials.
International Society for Rock Mechanics Commission on
Standardization of Laboratory and Field Tests, pp 111–116
Kliche CA (1999) Rock slope stability. Society for Mining, Metal-
lurgy and Exploration, Inc. (SME), Littleton
Lucas JM (1980) A general stereographic method for determining
possible mode of failure of any tetrahedral rock wedge. Int J
Rock Mech Min Sci Geomech Abstr 17:57–61
Markland JT (1972) A useful technique for estimating the stability of
rock slopes when the rigid wedge sliding type of failure is
expected. Imp Coll Rock Mech Res Rep 19:10 p
Marzorati S, Luzi L, Amicis MD (2002) Rockfalls induced by
earthquakes: a statistical approach. Soil Dyn Earthq Eng
22:567–577
Matherson GD (1988) The collection and use of field discontinuity
data in rock slope design. Q J Eng Geol 22:19–30
Paul SK, Bartarya SK, Rautela P, Mahajan AK (2000) Catastrophic
mass movement of 1998 monsoons at Malpa in Kali Valley,
Kumaun Himalaya (India). Geomorphology 35:169–180
Priest SD, Hudson JA (1976) Discontinuity spacing in rock. Int J
Rock Mech Min Sci Abstr 13:135–148
Ritchie AM (1963) Evaluation of rockfall and its control. Highw Res
Board Rec 17:13–27
Romana M (1985) New adjustment ratings for application of
Bieniawski classification to slopes. In: International symposium
on the role of rock mechanics, Zacatecas, pp 49–53
Sati SP, Sundriyal YP, Rana N, Dangwal S (2011) Recent landslides
in Uttarakhand: nature’s fury or human folly. Curr Sci
100:1617–1620
Srivastava RN, Ahmad A (1979) Geology and Structure of Alaknanda
valley, Garhwal Himalaya. Himal Geol 9(I):225–254
Varnes DJ (1978) Slope movement, types and processes. In: Eckel EB
(ed) Landslides and engineering practices, Highway Research
Board special report 29, pp 20–47
Wasowski J, Gaudio VD (2000) Evaluating seismically induced mass
movement hazard in Casamanico Terme (Italy). Eng Geol
58:291–311
V. Gupta, R. S. Tandon
123