Experimental investigations on ultimate bearing capacity of peat stabilized by a group of...
Transcript of Experimental investigations on ultimate bearing capacity of peat stabilized by a group of...
RESEARCH PAPER
Experimental investigations on ultimate bearing capacity of peatstabilized by a group of soil–cement column: a comparative study
Ali Dehghanbanadaki • Kamarudin Ahmad •
Nazri Ali
Received: 11 July 2013 / Accepted: 20 April 2014
� Springer-Verlag Berlin Heidelberg 2014
Abstract The aim of this paper was to determine the
ultimate vertical bearing capacity of rectangular rigid
footings resting on homogeneous peat stabilized by a group
of cement deep mixing (CDM) columns. For this purpose,
a series of physical modeling tests involving end-bearing
and floating CDM columns were performed. Three length/
depth ratios of 0.25, 0.5, and 0.75 and three area
improvement ratios of 13.1, 19.6, and 26.2 % were con-
sidered. Bearing capacity of the footings was studied using
different analytical procedures. The results indicated that
compared to unimproved peat, the average ultimate bearing
capacity (UBC) improvement of floating and end-bearing
CDM columns were 60 and 223 %, respectively. The
current study found that simple Brom’s method predicted
the UBC of the peat stabilized with floating CDM columns
with reasonable accuracy, but underestimated the UBC by
up to 25 % in the case of end-bearing CDM columns.
Published laboratory experiences of stabilizing soft soils
using soil–cement columns were also collated in this paper.
Keywords Bearing capacity � Cement column � Failure
patterns � Peat soils � Stabilization
Abbreviations
CDM Cement deep mixing
UBC Ultimate bearing capacity
OPC Ordinary Portland cement
List of symbols
B Footing width
l Column length
h Height of the box
cuc Undrained shear strength of the column
cus Undrained shear strength of the soil
quc Unconfined compression of the column
R UBC reduction factor
a Area improvement ratio
cc Compression index
cr Recompression index
k Constant coefficient (5.5)
qmin Lower bound of UBC
qmax Upper bound of UBC
1 Introduction
The past 30 years have seen increasingly rapid advances in
the field of soil improvement techniques. Among numerous
techniques for improving soft soils, cement deep mixing
(CDM) method has been used extensively to increase
bearing capacity and decrease settlement [15, 20, 25, 27,
34, 41, 49, 51]. This method is an economical process that
improves weak ground to enable it to resist low-to-mod-
erate loading conditions. This technique was originally
developed in Japan and Sweden and widely used for sta-
bilization of peat soils over the last three decades [16, 17,
23, 26, 34, 37, 39, 43, 45]. In practice, cement is injected
and mixed with the surrounding soil using a pumping
system, in the form of slurry (wet mixing) or powder (dry
mixing) to produce stronger and firmer ground namely
soil–cement columns [3, 4, 13, 31, 39]. Depending on the
A. Dehghanbanadaki (&) � K. Ahmad � N. Ali
Department of Civil Engineering, University Technology
Malaysia, 81310 Johor Bahru, Johor, Malaysia
e-mail: [email protected]
K. Ahmad
e-mail: [email protected]
N. Ali
e-mail: [email protected]
123
Acta Geotechnica
DOI 10.1007/s11440-014-0328-x
project specifications, CDM columns can be applied in
different configurations such as single, panel, block, and
grid. [19].
An extensive amount of theoretical and experimental
work has been reported on the bearing capacity of
improved soil by a group of CDM columns [5–7, 12, 14,
22, 28, 32, 33, 38, 42, 43, 46, 47]. Several physical mod-
eling tests were performed considering influential factors
such as undrained shear strength of the soil and the col-
umns, rigidity of the foundations, area improvement ratios,
and column preparations and installation techniques. All
physical modeling has focused only on soft clays, whereas
geotechnical characterizations of peat soil are considerably
different from inorganic soils. These soils are produced by
the disintegration and decomposition of plants under
waterlogged conditions and are problematic in terms of
their low strength, high compressibility, and high organic
content [24, 29, 35, 36, 44]. Peat soils can be classified
according to their particle size distribution, botanical ori-
gin, degree of decomposition, water content, and fiber
types. Von post [53] classified this soil into ten groups
ranging from H1 to H10. In this classification system, H1
indicates a fully fibrous and undecomposed soil, while H10
represents completely amorphous soil as shown in Table 1.
Due to its composition, the engineering properties of
peat are very site-dependent, exhibiting considerable
change over short distances and depths [23]. The hollow
cellular structure of these soils has been found to have an
adverse effect on its compressibility and bearing capacity.
The high organic content of peat tends to impede the
cementation process which attenuates the bearing capacity
of CDM columns [21]. Thus, peat is widely regarded as the
worst foundation soil for supporting man-made structures,
and it is not safe to anticipate the ultimate bearing capacity
(UBC) of CDM columns in peat the same as clays.
Therefore, the main objective of this paper was to deter-
mine the UBC of small-scale peat stabilized by a group of
end-bearing and floating CDM columns with different area
improvement ratios. The failure patterns and comparison of
UBC with different analytical methods are also examined.
2 Experimental procedure
2.1 Geotechnical characterizations of peat
Disturbed and undisturbed peat samples were collected
from Pontian (located in Johor—Malaysia) at a depth of
about 1 m. A series of field and experimental tests such as
classification, liquid limit, plastic limit, permeability,
consolidation, organic content, fiber content, and undrained
unconsolidated triaxial tests were conducted to determine
the geotechnical characterizations of the peat. These tests
were carried out using the American Society of Testing
Material committee (ASTM) [1] and the British Standard
(BS 1377, 1990) [8], and the results will be discussed in the
following sections.
In order to evaluate the undrained shear strength of the
soil, vane shear tests (VSTs) were performed at different
locations using 50 mm diameter and 100-mm-height field
vane in accordance with ASTM D 2573. This method is a
simple, rapid method for the determination of undrained
shear strength. Due to the fibrous structure of peat, VST
will often give misleading results and overestimate the
undrained shear strength of peat and should be interpreted
with great caution. In this study, a cone penetration appa-
ratus was used to determine the liquid limit of peat in
accordance with BS 1377, 1990, Part 2.
2.2 Soil preparation
A series of small-scale model tests were conducted using a
rigid rectangular tank 300 mm by 200 mm in area and
350 mm in depth. The tank was made of 20-mm-thick
acrylic plates. All sides of the box were tightly fixed to
prevent lateral movements during consolidation and load-
ing. In order to reduce the effect of side-wall friction,
lubricating oil was smeared on the inner side of the walls.
The size of the tank was large enough to accommodate
columns arrangement, so that there would be no interfer-
ence between the walls of the tank and the failure zone of
CDM columns. Prandtl [40] stated that the critical distance
needed from the edge of the footing depends on the width
of the footing and friction angle of soil. As a result, due to
the undrained condition of the peat (/ = 0), the critical
distance needed from the edge of the footing should at least
be equal to the width of the footing (B). Therefore, in this
study, this critical distance was selected as 1.5 B.
Table 1 Peat soil classification by Von Post [52]
Degree of
humification
Plant structure Decomposition
H1 Easily identified None
H2 Easily identified Insignificant
H3 Still identifiable Very slight
H4 Not easily identified Slight
H5 Recognizable but vague Moderate
H6 Indistinct Moderately
strong
H7 Faintly recognizable Strong
H8 Very indistinct Very strong
H9 Almost not
recognizable
Nearly complete
H10 No discernible Complete
Acta Geotechnica
123
The peat was air-dried under laboratory conditions. Only
peat passing a 2.00-mm sieve was mixed thoroughly at
natural water content of 495 % and was poured into the tank
for the consolidation process. A rigid rectangular steel
plate 198 mm in width, 298 mm in length, and 20 mm in
thickness was utilized for consolidation. A geotextile layer
was used for drainage at the bottom of the tank. The con-
solidation pressure was applied continuously and uniformly
by means of a pneumatic cylinder. The aim of consolidation
process was to achieve a homogenous peat with average
undrained shear strength of 10 kPa. Therefore, vertical
stress was applied gradually from 2 to 15 kPa over a period
of 4 days. The consolidation was under a two-way draining
condition. In the consolidation process, next stress incre-
ment was applied when the linear variable differential
transducers (LVDTs) showed no vertical displacement.
When the consolidation came to an end, a VST was per-
formed on the other tank at the same conditions at a depth of
50 mm below the surface to compare the undrained shear
strength of the peat with a desirable value of 10 kPa.
2.3 Model design
In practice, the diameter of the single CDM column varies
from 0.5 to 2.1 m, while the lengths range between 10 and
30 m [18]. The height of the model was decided by consid-
ering the geometry of CDM columns in practice. By
assuming the length and the diameter of the CDM columns as
12 and 1.5 m, respectively, the height of the model and the
diameter of the column were designed conveniently to be
200 and 25 mm, representing a linear scale factor of 1/60.
One of the most important factors in designing CDM
columns is area improvement ratio (a = area of the col-
umns to the total area) which depends on the project
specification. Practically, a range of 10–30 % for area
improvement ratio was proposed for common treatments
[16]. Hence, in this research, three area improvement ratios
of 13.1 % (4 columns), 19.6 % (6 columns), and 26.2 % (8
columns) were chosen for the CDM columns in the
experiments. The columns 25 mm in diameter were laid
out in a rectangular pattern. The center-to-center spacing in
a row was 40 mm, and the spacing between rows was 100,
66.7, and 50 mm.
2.4 Column installation method
Unlike the work conducted by Yin and Fang [28] and
Rashid [42] in which the CDM columns were constructed
and cured out of the soil, the CDM columns in this study
were installed and cured inside the soil using the continu-
ous replacement method. A thin open-ended steel pipe with
an internal diameter of 25 and 0.8 mm thickness was
pushed slowly into the peat at predetermined locations and
depths using wooden frames. A thin layer of grease was
applied on both the inner and outer surface of the steel pipe
prior to insertion to decrease the friction between the pipe
and the peat. Then, the peat-filled pipe was removed slowly
from the tank to create holes. Subsequently, the peat was
homogenized and mixed with cement (OPC) for 5 min at
the typical dosage of 300 kg/m3 by the mass of wet peat to
construct the cement–peat columns. Finally, the cement–
peat mixture was placed in the holes to make a composite
foundation. It should be noted that cement–peat mixture
was not pressed during its placement in the hole. The
procedures were repeated until all columns were completed
to the appropriate length. According to several laboratory
unconfined compression strength tests on cement–peat at
different curing times, it was revealed that the 14 days
undrained shear strength of the cement–peat was only
65 % of the strength at 28 days. Thus, it was decided to
cure the stabilized peat specimens for 28 days.
2.5 Loading procedure
In the loading stage, a rigid steel rectangular footing with a
length of 200 mm, a width of 75 mm, and a thickness of
20 mm was utilized to represent a rigid body resting on the
stabilized soil. In this study, the loading procedures were
conducted under the stress control conditions with an
increment of 1 kPa per minute. This approach allows direct
control of the stress. Displacement of the footing was
recorded by two LVDTs placed on opposite sides across
the center of the rectangular footing. The geometry of the
test setup and configuration of the CDM columns are
shown schematically in Fig. 1.
2.6 Testing program
A total of 13 physical modeling tests consisting of one
unimproved peat, three peats improved with end-bearing
CDM columns, and nine peat improved with floating CDM
columns tests were conducted as listed in Table 2. Analysis
was carried out to determine the UBC of the stabilized
ground under vertical loading. In addition, to increase the
reliability of measures, several tests comprised of uncon-
fined compression strength and VST were performed on the
other box under the same conditions before loading. In
addition, unconfined compression strength tests were con-
ducted separately on CDM columns based on BS 1377,
1990, Part 7: Section 7 to determine the undrained shear
strength of the column materials. In Table 2, n indicates the
number of CDM columns, TS-01 represented the unim-
proved soil while TS-02, TS-03, and TS-04 indicate soil
improved by end-bearing CDM columns, and TS-04 to TS-
13 denoted the soil stabilized by floating CDM columns. In
the tests with floating columns, the ratios of the length of
Acta Geotechnica
123
the CDM columns to the height of the soil (l/h) considered
were 0.25, 0.5, and 0.75.
3 Prediction of UBC
3.1 Experimental methods
The experimental evaluations of the UBC for both the
unimproved peat and peat improved by floating CDM
columns were determined based on classical double tan-
gent method. In this method, the UBC is obtained at the
intersection of two tangents, one at the beginning and the
other at the point of the plot when three successive equal
incremental loads result in increasing incremental settle-
ment in the log–log plot (vertical stress against displace-
ment graphs). On the other hand, the UBC of the peat
improved by end-bearing CDM columns was determined
based on the peak points (failure points) of the experi-
mental curves.
100 mm
50 mm
40 mm
75 mm 75 mm
25 mm
40 mm
66.67 mm
LVDT1LVDT2
Rigid plate Geotextile
CDM column
Footing
Datalogger
Drainage outlet
Load cell
(a)
(b)40 mm
200 mm
300 mm 300 mmB=75 mm
200 mm
Fig. 1 a Test setup. b Column configuration
Table 2 Test conditions and relevant parameters
Tests Test
condition
n l (mm) a(%)
l/h
TS-01 Unimproved 0 0 0 0
TS-02 End-bearing 4 300 13.1 1
TS-03 End-bearing 6 300 19.6 1
TS-04 End-bearing 8 300 26.2 1
TS-05 Floating 4 75 13.1 0.25
TS-06 Floating 6 150 19.6 0.25
TS-07 Floating 8 225 26.2 0.25
TS-08 Floating 4 75 13.1 0.5
TS-09 Floating 6 150 19.6 0.5
TS-10 Floating 8 225 26.2 0.5
TS-11 Floating 4 75 13.1 0.75
TS-12 Floating 6 150 19.6 0.75
TS-13 Floating 8 225 26.2 0.75
Acta Geotechnica
123
3.2 Analytical method
The majority of the existing analytical methods for the
determination of UBC of stabilized soil with a group of
cement columns were mainly dependent on the strength
properties of the columns. In this study, different analytical
methods were used to predict the UBC of the stabilized
peat. Preliminary work on the bearing capacity of improved
soil with column-like elements was undertaken by Broms
[10]. In the case of end-bearing CDM columns, the UBC
was determined based on two different methods suggested
by Broms [11] as shown in Eqs. (1) and (2).
qu ¼ 0:7quc:aþ k 1� að Þ:cus Broms� að Þ ð1Þ
qu ¼ 0:7quc:aþ k 1þ b=l
� �:cus Broms� bð Þ ð2Þ
where quc and cus are the unconfined compression strength
of the column and undrained shear strength of the soft soil,
respectively, while b and l are the dimensions of the
footing. On the basis of the experimental and theoretical
investigations conducted by Bergado et al. [2], k is taken as
5.5. In addition, a is the area improvement ratio. In the case
of soil improved with floating CDM columns, the UBC was
taken as the stress corresponding to a settlement equal to
20 % of the CDM column diameter based on Broms-c
method [9].
The results of this study were compared to a lower
bound (qmin) and upper bound (qmax) of the UBC of soft
soil improved by a group of CDM columns as established
by Boussida et al. [7] and Boussida and Porbaha [5, 6].
However, their evaluation of analysis had a number of
limitations. Their approach was based on the yield design
theory and assumed that the unimproved soil and the CDM
columns were deemed to have the same unit weight and
purely cohesive materials. According to their theory, the
lower and upper bound of UBC can be estimated by Eqs.
(3) and (4), respectively, and kc indicates the cohesion ratio
based on Eq. (5).
qmin ¼ cus 4þ 2a kc � 1ð Þf g ð3Þ
qmax ¼ cus 2ffiffiffi2pþ 2
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1þ a kc� 1ð Þ½ � 2þ a kc� 1ð Þ½ �
pn oð4Þ
kc ¼ cuc=cusð5Þ
in which cuc and cus are undrained shear strength of column
and soil, respectively, and a is area improvement ratio.
As mentioned by Terzaghi and Vesic [50, 52], the the-
oretical UBC of the rectangular footing rested on the
cohesion soil was considered based on Eq. (6). Further-
more, settlement and bearing capacity analysis of stabilized
soil using column-like elements are usually performed with
the assumption that the composite soil has mean weighted
shear strength as indicated in Eq. (7). Consequently, in this
research, a comparison in terms of UBC was performed by
introducing the reduction factor (R). This is defined as the
ratio of the UBC of different methods to the proposed
Terzaghi and Vesic method [50, 52] which was calculated
based on the homogenized cohesion. The reduction factor
has the potential to compare and anticipate the UBC of peat
improved by end-bearing CDM columns with the well-
known Terzaghi and Vesic [50, 52] equations and can be
expressed as Eq. (8).
qu ¼ 5:7c� 1þ 0:2b
l
� �ð6Þ
c� ¼ cuc:aþ 1� að Þ:cus ð7ÞR ¼ UBCðDifferent methodsÞ=UBCðHomogeneous methodÞ ð8Þ
where qu is UBC of improved soil based on Terzaghi and
Vesic method, c* indicates homogenized cohesion, and
b and l are the width and length of the rectangular footing.
cuc and cus are the undrained shear strength of column and
soil, respectively, and a is the area improvement ratio.
4 Results and discussion
4.1 Soil properties
Visual inspection showed that the peat was dark brown in
color with a pasty texture. The peat was considered as H3
according to the von Post System based on its degree of
humification. An average fiber content of 80 % indicated
that the peat could be classified as fibrous peat. Grain size
analysis of the peat was carried out according to BS 1377,
1990., Part 2, and the corresponding curve is displayed in
Fig. 2. The average geotechnical properties and chemical
composition of the cement used in this study are summa-
rized in Tables 3 and 4. It can be noted by the values
0
10
20
30
40
50
60
70
80
90
100
0.01 0.1 1 10
Per
cent
fin
er (
%)
Particle size (mm)
Fig. 2 Particle size distribution curve of fibrous peat
Acta Geotechnica
123
reported in Table 3 that the soil was significantly com-
pressible with a high moisture content of 495 % indicating
that the peat had a very high water-holding capacity.
4.2 Model test results
As is well known, the UBC of improved soil by column-
like elements mainly depends on the following: (1) area
improvement ratio, (2) shear strength of soil and col-
umn, (3) end-bearing conditions, (4) column spacing,
and (5) boundary conditions. In this research, the UBC
of the reinforced soil is defined by a dimensionless ratio
of bearing capacity factor (BCF) as expressed by Eq.
(9):
BCF ¼ qu=cusð9Þ
In the Eq. (9), qu is the UBC of stabilized peat, and cus is
the undrained shear strength of the soil. It should be noted
that the peat in this study was in a nearly undrained
condition since the loading was fast and drainage valves
were closed during loading. Table 5 presents the results of
the undrained shear strength of the soil (cus) which was
determined by in situ VSTs, and correspondingly, the
undrained shear strength of CDM columns (cuc) was
directly obtained from unconfined compression strength
tests on stabilized peat specimens.
As shown in Table 5, it is apparent that the undrained
shear strength of the peat varied between 8.8 and 10.3 kPa,
while the undrained shear strength of the CDM columns
was in the range of 78.3–89.3 kPa. In earlier works on the
deep mixing method, many researchers have found that the
cohesion of cement–clay was very high (up to hundred
times or more) compared to the undrained cohesion of soft
clay [19, 28, 42]. However, the results of this study showed
that the undrained shear strength of cement–peat was only
nine times that of unimproved peat. The lower shear
strength of the cement–peat mixture compared with a
cement–clay mixture is due to the decrease in the effi-
ciency of the reactions with the cement and less solid
particles in peat. This is because the physicochemical
properties of peat soils are significantly different from the
clays. Furthermore, higher water-to-cement ratio and high
organic matter in peat tend to retard hydration and reac-
tions of chemical stabilization process, which decreases the
undrained shear strength of cement–peat.
To eliminate the scale effect, the vertical displacement
of the footing was normalized by the width of the footing
following Boussida et al. [7] which presented physical
Table 3 General characterization of the peat
Item and standards Results (average)
Classification (ASTM 5715-00) Fibrous
Classification (Von post) H3
Moisture content % (BS 1377, 1990., Part 2) 495
Liquid limit (BS 1377, 1990., Part 2) 260
Plastic limit (BS 1377, 1990., Part 2) NP
pH (BS 1377, 1990., Part 3) 4.1
Organic content (%) (BS 1377, 1990., Part 3) 91
Fiber content (%) (ASTM, 1997-91) 80
Specific gravity (BS 1377, 1990., Part 2) 1.38
In situ unit weight (kN/m3) 10
Permeability (m/day) (BS 1377, 1990., Part 6) 0.89
cc (Compression index) (ASTM D 2435-70) 3
cr (Recompression index) (ASTM D 2435-70) 0.251
cu—VST (ASTM D—2573) (kPa) 11
cu—UCT (BS 1377, 1990., Part 7) (kPa) 10
cu—UU (BS 1377, 1990., Part 7) (kPa) 12
VST vane shear test, UCT unconfined compression test, UU uncon-
solidation undrained test, NP none plastic
Table 4 Chemical composition of the cement used in this study [54]
Chemical compositions Content %
SiO2 21
Al2O3 5.3
Fe2O3 3.3
CaO 68.6
MgO 1.1
SO3 \0.01
Na2O \0.01
K2O \0.01
Table 5 Shear strength parameters of prepared soil
Tests cus (kPa) cuc (kPa) quc (kPa)
Ts-01 9.1 – –
Ts-02 8.80 79.60 159.2
Ts-03 9.40 89.30 178.6
Ts-04 9.80 83.40 166.8
Ts-05 9.50 85.80 171.6
Ts-06 9.80 82.30 164.6
Ts-07 9.10 80.70 161.4
Ts-08 10.10 88.40 176.8
Ts-09 10.30 88.30 176.6
Ts-10 9.70 82.80 165.6
Ts-11 9.50 78.60 157.2
Ts-12 9.70 79.40 158.8
Ts-13 9.40 78.30 156.6
cuc and cus are undrained shear strength of column and soil, respec-
tively, and quc is unconfined compression strength of column
Acta Geotechnica
123
modeling tests for bearing capacity analysis of the cement
columns. So, in this section, the results of each test were
plotted in terms of vertical stress against normalized dis-
placement to the width of the footing. It is evident from
Fig. 3 that stress–displacement response of unimproved
peat (TS-01) was very similar to that of behavior of soft
clays. A similar observation had been reported previously
by Rashid [42] who studied the deformation of soft clays
under vertical loading using a rectangular rigid foundation.
Figures 3, 4, and 5 show the comparisons between
stress–displacement responses of the unimproved peat with
the tests reinforced with the end-bearing and floating CDM
columns at different area improvement ratios. As can be
seen, in the stabilized peat with floating CDM columns, all
trends showed a ductile behavior. However, by increasing
the CDM column length, the differences between the trends
of the peat improved by floating CDM columns and
unimproved peat became greater, which was due to higher
skin interactions between the CDM columns and sur-
rounding peat. On the other hand, in the case of stabilized
peat using end-bearing CDM columns, the UBC increased
with increasing area improvement ratio because it
increased the stiffness of the columns.
The UBC of the unimproved peat resulted in an average
value of 38 kPa using double tangent method. It was
obvious that in the tests with end-bearing CDM columns,
the relationship between vertical load and normalized
displacement before failure was almost linear, which was
completely different to floating CDM columns. In the end-
bearing tests, the UBC achieved by the experimental
method were 77.7, 87.6, and 91.9 kPa for TS-02, TS-03,
and TS-04 with BCF of 8.83, 9.32, and 9.38, respectively.
These values were the peak points of the graph. Beyond
peak points, when the entire composite ground failed, extra
stress could not be tolerated, and consequently, the trends
decreased significantly [28, 46–48].
Compared to unimproved peat, it was revealed that the
UBC of peat stabilized with end-bearing CDM columns
increased up to 200, 229 and 240 % using area improve-
ment ratios of 13.1, 19.6, and 26.2 %, respectively, while
in the case of peat reinforced with floating CDM columns,
the average increase in the UBC was 60 % (average of 9
tests). Moreover, it was observed that TS-02 (a = 13.1 %),
TS-03 (a = 19.6 %), and TS-04 (a = 26.2 %) failed at 4,
2.5, and 1.9 % normalized vertical displacement of the
footing, respectively. It showed that as the area improve-
ment ratio increases, the vertical displacement for failure
decreases. One possible reason is that when the area
improvement ratio increases, the composite soil tends to be
stiffer and can endure more stress in less vertical dis-
placement. Consequently, the vertical displacement for
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0 20 40 60 80 100
Dis
plac
emen
t/w
idth
of
foot
ing
Vertical stress(kPa)
TS-01 (l/h = 0)
TS-02 (l/h = 1)
TS-05 (l/h = 0.25)
TS-08 (l/h = 0.5)
TS-11 (l/h = 0.75)
Fig. 3 The relationship between vertical stress and displacement to
the width of footing (a = 13.1 %)
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0 20 40 60 80 100
Dis
plac
emen
t/w
idth
of
foot
ing
Vertical stress(kPa)
TS-01(l/h = 0)
TS-03 (l/h = 1)
TS-06 (l/h = 0.25)
TS-09 (l/h = 0.5)
TS-12 (l/h = 0.75)
Fig. 4 The relationship between vertical stress and displacement to
the width of footing (a = 19.6 %)
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0 20 40 60 80 100 120
Dis
plac
emen
t/w
idth
of
foot
ing
Vertical stress(kPa)
TS-01(l/h = 0)
TS-04 (l/h = 1)
TS-07 (l/h = 0.25)
TS-10 (l/h = 0.5)
TS-13 (l/h = 0.75)
Fig. 5 The relationship between vertical stress and displacement to
the width of footing (a = 26.2 %)
Acta Geotechnica
123
failure declines. The average range of 2.8 % of normalized
vertical displacement of the footing at failure moment
confirms the studies conducted by Boussida and Porbaha
[5]. They stated that in the case of soft clay improved by
end-bearing CDM columns, the vertical displacement for
failure was\10 % of the normalized vertical displacement
of the footing.
As expected, in the case of peat improved by floating
CDM columns (TS-05 to TS-13), the required normalized
vertical displacement of the footing at the point of failure was
significantly higher compared to the end-bearing cases. This
was attributed to the fact that in the case of peat reinforced
with end-bearing CDM columns, the slope of the stress-
normalized displacement graphs was higher compared to
floating CDM columns, which showed failure at lower dis-
placements. In addition, it was clear that up to 10–15 %
(average = 14 %) of the normalized vertical displacements
of the footing, the UBC did not depend on area improvement
ratios. This was because even using floating CDM columns,
the trend of stabilized soil remained ductile, the same as
unimproved peat. Thus, in the case of peat treated by floating
CDM columns, raising the UBC, up to 10 to 15 % normal-
ized vertical displacement of the footing, was needed
regardless of the area improvement ratio.
Figure 6 shows the comparison between the BCF
obtained from experimental work with different analytical
methods in the case of end-bearing CDM columns.
Boussida and Porbaha [5, 6] declared that the prediction by
Brom’s method tends to underestimate the bearing capacity
if the cohesion ratio, kc [based on Eq. (5)], is [30. In this
study, the range of cohesion ratios of the tests improved by
end-bearing CDM columns was between 8.5 and 9 con-
firming the theory stated by Boussida and Porbaha [5, 6].
According to Fig. 6, the BCF achieved by experiments was
not exactly in the range of lower and upper bounds of the
UBC proposed by Boussida et al. [7] and Boussida and
Porbaha [5, 6]. The differences between the BCF calcu-
lated based on experimental and Broms-(b) method were
14.2, 8.5, and 3.6 % for the TS-02, TS-03, and TS-04,
respectively. Therefore, in the case of treated peat with
end-bearing columns, the findings of UBC of the current
study were consistent with Broms-(b) method. Thus, it can
be concluded that based on all mentioned methods, by
increasing the area improvement ratio, the BCF of stabi-
lized soil increased, which was attributed to higher stiffness
of soil using end-bearing CDM columns.
Figure 7 compares the BCF of the peat stabilized by
floating CDM columns with Broms-(c) method. The min-
imum and maximum of experimental BCF of 5.63 and 7.94
for peat improved by floating CDM columns were attrib-
uted to TS-05 and TS-13, respectively. As indicated in
Fig. 7, the average relative differences of BCF between
Broms-(c) and experimental method were insignificant.
Therefore, it is proven here that Broms-(c) method pre-
dicted the UBC and BCF of the treated peat with floating
CDM columns with high accuracy.
In this section, in order to interpret the reduction factor
(R), different comparisons were made regarding the UBC
of three methods, including (1) experimental, (2) Broms-
(a), and (3) Broms-(b). Figure 8 depicts the variation of
reduction factors of the UBC in the case of end-bearing
CDM columns based on Eq. (8). As discussed earlier, these
factors can anticipate the UBC of peat improved by end-
bearing CDM columns from the well-known Terzaghi and
Vesic methods [50, 52] using the homogenized cohesion. It
6
6.5
7
7.5
8
8.5
9
9.5
10
= 13.1% = 19.6% = 26.2%
Bea
ring
cap
acit
y fa
ctor
(B
CF
)
Experimental Broms - (a) Broms - (b)
Boussida & Porbaha (lower bound) Boussida & Porbaha (upper bound)
Fig. 6 BCF of peat improved by end-bearing CDM columns
4
4.5
5
5.5
6
6.5
7
7.5
8
Bea
ring
cap
acit
y fa
ctor
(B
CF
)
Experimental (double tangent)
Broms - (c)
Fig. 7 BCF of improved soil by floating CDM columns
Acta Geotechnica
123
is obvious that in comparison with all the calculated
methods, the experimental results of this study were the
closest to the anticipated method proposed by Terzaghi and
Vesic. As shown in Fig. 8, by increasing the area
improvement ratio, the reduction factor (R) decreased in all
the methods which indicated that the differences between
the calculated UBC and well-known Terzaghi and Vesic
method increased. Thus, it is not safe to determine the UBC
of the peat stabilized with the group of soil–cement col-
umns based on the Terzaghi and Vesic method [50, 52]
based on homogenized cohesion.
4.3 Failure patterns
After each test was completed, the deformed ground sur-
face was inspected. During all the tests, it was observed
that the extent of soil bulging on the sides of the rectan-
gular footing was very small, indicating that the boundary
effect on the results was likely to be insignificant. Figure 9
shows a schematic deformed profile conditions attributed
to (1) unimproved (TS-01), (2) improved peat with floating
(TS-05), and (3) end-bearing (TS-04) CDM columns at the
point of failure. As can be seen, in the TS-01, the deformed
surface around the footing was completely symmetric and
punching shear failure was observed. As shown in Fig. 9,
the necessary vertical displacement for the failure of the
peat reinforced by end-bearing CDM columns was less
than that of floating and unimproved (Fig. 10). Further-
more, in the tests using end-bearing columns (TS-02, TS-
03, TS-04), small unsymmetric heaves around 2 mm were
generated around the footing, while progressive cracks
were observed during loading and the length and width of
the cracks increased at higher stress. Figure 11 shows the
failure patterns and progressive cracks in the TS-04.
Table 6 shows a comparison between parameters of this
study with other scientific researches in the case of failure
patterns of end-bearing CDM columns. Parameters such as
undrained shear strength of soil and column and failure
patterns of composite ground are tabulated. In the first
comparison, most of the parameters in the TS-03 were the
same as that performed by Rashid [42], while failure pat-
terns were somewhat different (Fig. 12). From these data,
we can see that study performed by Rashid [42] resulted in
a combination of shearing and bending failure for the CDM
columns. There are several possible explanations for these
differences:
These dissimilarities were because of differences in the
nature of the soil. The geotechnical characterizations of
peat and CDM columns (peat ? cement) were different to
that of clay.
Differences in applying stress to the stabilized area can
affect the failure pattern. As stated before, in this study,
vertical stress was applied to the stabilized area in the stress
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
TS-02 ( = 13.1%) TS-03 ( = 19.6%) TS-04 ( = 26.2%)
Red
ucti
on f
acto
r of
the
UB
C (
R)
R- Experimental
R- Broms - (a)
R- Broms - (b)
Fig. 8 UBC reduction factor (R)
285
290
295
300
305
310
315
-125 -100 -75 -50 -25 0 25 50 75 100 125
Hie
ght
leve
l (m
m)
Distance from center line (mm)
Vertical stress
TS-01
TS-04
TS-05
Fig. 9 Schematic deformed profile at failure (note: dimensions of the
footing are not to scale)
Punching shear along the footing
Fig. 10 Failure of unimproved peat (TS-01)
Acta Geotechnica
123
control of 1 kPa/min, while in the tests conducted by
Rashid [42], strain control of 6.20 mm/min was used.
Sample preparation and column installation of these
methods were completely different. In his research, the
clay was prepared using an OCR (over consolidation ratio)
of 10 and the columns were constructed and cured outside
of the soil. Consequently, even with approximately the
same area improvement ratio and soil and column
undrained shear strength, a different failure pattern can be
expected.
In the second comparison in the case of end-bearing
columns, the results of this study showed great differences
from that performed by Kitazume et al. [30, 32]. One of the
key parameters governing the behavior of soft soils
improved by soil–cement columns is the column–soil
stiffness ratio (shear strength of columns to the soil). In
their physical modeling, the area improvement ratio was
79 % and the stiffness ratio was around 95. Apparently, the
stiffness of the CDM columns was too high, and so the
columns acted the same as the piles and the failure pattern
was related completely to the failure of the columns.
Moreover, as in this study, Kitazume et al. [30, 32] indi-
cated that peak vertical stress values were observed at
\10 % of normalized displacement of the footing.
The third comparison is that of Yin and Fang [28] who
performed a plane strain, physical modeling of clay
improved by end-bearing CDM columns using an area
improvement ratio of 12.6 % (nine columns). The column
preparation and installation technique were similar to those
of Kitazume et al. [30, 32], and the properties of soil are
shown in Table 6. Yin and Fang [28] prepared and cured
the column outside of the soil and inserted the columns
using PVC pipes. Finally, they generated column failure
using a rigid plate of 300 mm by 300 and 30 mm in
thickness with strain control of 1 mm/min. The most
important differences in the present model compared to
others were the undrained shear strength of the columns.
As for this research, brittle failure was also observed from
the stress-normalized displacement curve; however, Yin
and Fang [28] introduced a wedge-shaped block failure
pattern for the CDM columns.
Unlike the brittle behavior of end-bearing CDM col-
umns, the failure trends of nine tests stabilized by floating
CDM columns exhibited ductile behavior. In these tests,
the footing displaced the underlying improved peat almost
symmetrically, and no heave was observed around the
footing. In the tests reinforced with short CDM column
lengths (l/h = 0.25), due to smaller improvement com-
pared to long CDM column lengths, the columns moved
downward with the peat without any breakage. One the
other hand, in long column lengths (l/h = 0.5 and l/h = 0.
75), the CDM columns yielded at shear in a point around
20–25 % of the column length measured from the bottom
of the footing.
Progressive cracks along the footing at failure
Fig. 11 Point of failure of peat improved by end-bearing CDM
columns (TS-04)
Table 6 Comparison between parameters of this study with other
scientific research in the case of failure patterns of end-bearing
columns
Parameters This study
(TS-03)
Rashid
[42]
Kitazume
et al. [30, 32]
Yin and
Fang [28]
a % 19.6 17.3 79 12.6
/� 0 0 0 0
cus (kPa) 9.4 6.9 4 3
cuc (kPa) 89.3 86.75 379 425
Failure
pattern
Shear Shear and
bending
Shear and
bending
wedge-
shaped
a is area improvement ratio, / is friction angle of the soil, and cuc and
cus are undrained shear strength of column and soil, respectively
Punching shear along the footing
No heave
No heave
Fig. 12 Failure of peat improved by floating CDM columns (TS-13)
Acta Geotechnica
123
In the case of floating columns, two comparisons are
performed between parameters of this study including TS-
10 and TS-13 with two tests including Test 1 and Test 2
performed by Rashid [42], and the details are summarized
in Table 7. As can be seen, the failure patterns of this study
were compared to two different tests performed by Rashid
[42]. It should be noticed that all tests were in the
undrained condition with the same area improvement ratio
of about 26 %. As mentioned before, CDM columns in the
TS-10 and TS-13 failed in a shear pattern at a point around
20–25 % of the column length measured from the bottom
of the footing. As indicated in Table 7, the most important
difference between TS-10 and TS-13 (this research) and
Test 1 and Test 2 performed by Rashid [42] was undrained
shear strength of the columns. In Test 1, due to the lower
undrained shear strength of the columns, which was
36 kPa, the columns failed in shear. On the other hand, in
Test 2, the undrained shear strength of the columns
increased to 121.8 kPa which has caused bending failure
instead of shear failure. Consequently, it can be concluded
that by increasing the undrained shear strength of the col-
umns, because of higher stiffness of the columns, the
failure pattern changes from shear to bending failure.
5 Concluding remarks
The main aim of this paper was to point out the effects of
cement deep mixed columns on the UBC of peat soils in
floating and end-bearing CDM conditions. The following
conclusions can be drawn from the present study:
Both floating and end-bearing CDM columns enhanced
the UBC of soft soil. In the case of floating columns, the
UBC was improved by an average increase of 60 %, while
end-bearing columns increased the UBC of soft peat from
200 to 240 %. Therefore, it was demonstrated that end-
bearing CDM columns were more dominant than floating
columns.
The analytical method for calculating the UBC of peat
stabilized with end-bearing CDM columns based on
homogenous cohesion, introduced by Terzaghi, overesti-
mated the UBC significantly.
In the case of stabilization tests with floating columns,
the results of the UBC were compatible with Brom’s
method.
The failure patterns of unimproved peat and peat sta-
bilized with floating CDM columns exhibited punching
shear, while in the case of peat improved by end-bearing
CDM columns, progressive cracks and small heave were
observed around the footing.
It was observed that the peat improved by end-bearing
CDM columns (three tests) failed at \4 % of normalized
vertical displacement of the footing. Whereas, in the case
of peat improved by floating CDM columns (nine tests), the
average vertical displacement needed for the failure was
14 % of normalized vertical displacement of the footing.
It should be pointed out that many factors can influence
the UBC and failure pattern of stabilized ground with a
group of CDM columns such as strength properties of the
CDM columns, configuration of the columns, end-bearing
conditions, and area improvement ratios. However, while
this physical modeling simulation is considered capable of
reproducing the main features of stabilized peat deposit
with CDM columns, caution must be applied with small
sample sizes as the findings might not be transferable to
field conditions. Thus, real-scale physical model simulation
tests should be carried out to observe the actual perfor-
mances of stabilized peat by a group of CDM columns.
References
1. ASTM D 2974 (2000) Standard test method for moisture, ash,
and organic matter of peat and other organic soils. Book of
ASTM standards. ASTM, Philadelphia
2. Bergado DT, Anderson LR, Miura N, Balasubramaniam AS
(1994) Lime/cement deep mixing method. Improvement tech-
niques of soft ground in subsiding and lowland environments.
A.A. Balkelma, Rotterdam, pp 99–130
3. Black JA, Sivakumar V, Madhav MR, McCabe B (2006) An
improved experimental test setup to study the performance of
granular columns. Geotech Test J 29(3):193–199
4. Black JA, Sivakumar V, Madhav MR, Hamill GA (2007) Rein-
forced stone columns in weak deposits-laboratory model study.
J Geotech Geoenviron 133(9):1154–1161
5. Boussida M, Porbaha A (2004) Ultimate bearing capacity of soft
clays reinforced by a group of columns-application to a deep
mixing technique. Soils Found 44(3):91–101
6. Boussida M, Porbaha A (2004b) Bearing capacity of foundations
resting on soft ground improved by soil cement columns. In:
International Conference on Geotechnical Engineering (ICGE
2004), pp 173–180
7. Boussida M, Jelali B, Porbaha A (2009) Limit analysis of rigid
foundations on floating columns. Int J Numer Anal Methods
9(3):89–101
8. British Standard Institution BS (1990) Methods of test for soils
for civil engineering purposes. British Standard Institution,
London
Table 7 Comparison between parameters of this study with other
scientific research in the case of failure patterns of floating columns
Parameters This study
(TS-10)
Rashid [42]
Test 1
This study
(TS-13)
Rashid [42]
Test 2
a % 26.2 26 26.2 26
/� 0 0 0 0
cus (kPa) 9.1 6.5 9.4 6.4
cuc (kPa) 82.8 36 78.3 121.8
Failure
pattern
Shear Shear Shear Bending
Acta Geotechnica
123
9. Broms BB (1964) Lateral resistance of piles in cohesive soils.
J Soil Mech Found Div ASCE 90(2):27–63
10. Broms BB (1982) Lime columns in theory and practice. In:
Proceedings of International Conference of Soil Mechanics,
Mexico, pp 149–165
11. Broms BB (2000) Lime and lime/columns. Summary and visions.
In: Proceedings of the 4th International Conference on Ground
Improvement Geosystems, vol 1, pp 43–93
12. Broms BB (2001) Discussion—centrifuge model tests on failure
envelope of column type deep mixing method improved ground.
Soils Found 41(4):103–107
13. Broms BB (2002) Stabilization of soil with lime columns. In:
Foundation engineering handbook. Kluwer Academic Publisher
14. Broms BB, Boman P (1979) Stabilisation of soil with lime col-
umns. Ground Eng 12(4):23–32
15. Bruce D (2001) An introduction to the deep mixing methods as
used in geotechnical applications, vol III. The verification and
properties of treated ground. Report No. FHWA-RD-99-167, US
Department of Transportation, Federal Highway Administration
16. Bruce DA, Bruce ME (2001) Practitioner’s guide to the deep
mixing method. Ground Improv 5(3):95–100
17. Bruce DA (2002) An introduction to deep mixing methods as
used in geotechnical applications, vol III. The verification and
properties of treated ground FHWA-RD:99-167
18. Coastal Development Institute of Technology (2002) The deep
mixing method-principle, design and construction. A.A. Balk-
elma, Netherland
19. EuroSoilStab (2002) Development of design and construction
methods to stabilize soft organic soils: design guide soft soil
stabilization, industrial and materials technologies programme
(Brite- EuRam III), European Commission, CT97-0351, Project
No. BE 96-3177, pp 15–60
20. Han J, Zhou H, Tand Ye F (2002) State-of-practice review of
deep soil mixing techniques in China. Transportation Research
Record No. 1808, Soil Mechanics, pp 49–57
21. Hebib S, Farrell ER (2003) Some experiences on the stabilization of
Irish peats. Can Geotech J 40(1):107–120. doi:10.1139/T02-091
22. Horpibulsuk S, Miura N, Koga H, Nagaraj TS (2004) Analysis of
strength development in deep mixing: a field study. Ground
Improv 8(2):59–68
23. Huat BBK, Kazemian S, Prasad A, Barghchi M (2011) A study of
the compressibility behavior of peat stabilized by DMM: model
and FE analysis. Int J Phys Sci 6(1):196–204
24. ICE Manual of Geotechnical Engineering (2012) Institution of
Civil Engineers. Chapter 35 Organics/peat soils ICE manual
25. Janz M, Johansson SE (2001) The function of different types of
binder in content with deep stabilization Swedish Deep Stabil-
ization Research Centre, Report No 9, Linkoping
26. Japanese Geotechnical Society Standard (2000) Practice for
making and curing stabilized soil specimens without compaction.
vol 5, Chapter 7, (JGS 0821-2000)
27. Karstunen M (1999) Alternative ways of modelling embankments
on deep-stabilized soil. In: Proceedings of the International
Conference on Dry Mix Methods for Deep Soil Stabilization,
pp 221–228
28. Yin J-H, Fang Z (2010) Physical modelling of a footing on soft
soil ground with deep cement mixed soil columns under vertical
loading. Mar Georesour Geotechnol 28:173–188
29. Kazemian S, Huat B, Prasad A, Barghchi M (2011) Study of peat
media on stabilization of peat by traditional binder. IJPS
6(3):476–481
30. Kitazume MT, Miyajima I, Karastanev K (1996) Bearing
capacity of improved ground with column type DMM. In:
Yonekura T, Shibazaki B (eds) Grouting and deep mixing, vol 1,
pp 503–508
31. Kitazume M, Yamamoto M (1998) Stability of group column
type DMM ground. Report of Port and Harbour Institute, vol
37(2), pp 3–28
32. Kitazume M, Yamamoto M, Udaka Y (1999) Vertical bearing
capacity of column type DMM ground with low improvement
ratios. In: Bredenberg H, Broms BB (eds) Dry mixing methods
for deep soil stabilization, pp 245–250
33. Kitazume M, Okano K, Miyajima S (2000) Centrifuge model
tests on failure envelope of column type deep mixing method
improved ground. Soils Found 40(4):43–55
34. Krenn H, Karstunen M (2009) Numerical modelling of deep
mixed columns below embankment constructed on soft soil.
Geotechnics of soft soils focus on ground improvement,
pp 159–164
35. Mesri G, Ajlouni M (2007) Engineering properties of fibrous
peats. J Geotech Geoenviron 133(7):850–866
36. Moore PD (1989) The ecology of peat-forming processes. Int J
Coal Geol 12(1–4):89–103
37. Okumura T (1996) Deep mixing method of Japan. Grouting and
deep mixing. In: Proceedings of the 2nd International Conference
on Ground Improvement Geosystems. Balkema, Rotterdam,
pp 879–887
38. Omine K, Ochiai H, Bolton MD (1999). Homogenization
method for numerical analysis of improved ground with cement-
treated soil columns. In: Proceedings of the International Con-
ference on Dry Dry Mix Methods for Deep Soil Stabilization,
pp 161–168
39. Porbaha A (1998) State of the art in deep mixing technology: part
I. Basic concepts and overview. Ground Improv 2(2):81–92
40. Prandtl L (1921) Uber Die Eindringungsfestigkeit Plastischer
Baustoffe Und Die Festigkeit Von Schneiden. Zeitschrift fur
angewandte Mathematik und Mechanik 1(1):15–20
41. Puppala A, Madhyannapu R, Nazarian S,Yuan D, Hoyos L (2007)
Deep soil mixing technology for mitigation of pavement rough-
ness. Texas Department of Transportation Research and
Technology
42. Rashid A (2011) Behavior of weak soils reinforced with soil
columns formed by deep mixing method. In: Phd Thesis. Uni-
versity of Sheffield
43. Rathmayer H (1996) Deep mixing methods for soft soil
improvement in the Nordic Countries. In: Proceedings the 2nd
International Conference on Ground Improvement Geosystems,
Grouting and Deep Mixing, 14–17 May, Tokyo, 2, pp 869–877
44. Stanek W, Worley IA (1983) A terminology of virgin peat and
peat lands. In: Proceedings of International Symposium on PeatUtilization, Bemidji State University, Bemidji, Minn, pp 75–104
45. Tan TS, Goh TL, Yong KY (2002) Properties of Singapore
marine clays improved by cement mixing. Geotech Test J
25(4):422–433
46. Terashi M, Tanaka H (1981a) Ground improvement by in situ
deep mixing method. In: Proceedings of 10th International
Conference Soil Mechanics and Foundation Engineering, Stock-
holm, pp 777–780
47. Terashi M, Tanaka H (1981b) Settlement analysis for deep mixing
method. In: Proceedings of 10th International Conference Soil
Mechanics and Foundation Engineering, Stockholm, pp 955–960
48. Terashi M, Tanaka H (1983) Bearing capacity and consolidation
of the improved ground by a group of treated soil columns.
Report of the Port and Harbour Research Institute, vol 22, No. 2,
pp 214–266
49. Terashi M (2005) Keynote lecture: design of deep mixing in
infrastructure applications. In: Proceedings of International
Conference on Deep Mixing. Best Practice and Recent Advance,
pp 25–45
50. Terzagi K (1943) Theoretical soil mechanics. Wiley, New York
Acta Geotechnica
123
51. Topolnicki M (2004) In situ soil mixing. In: Moseley MP, Kirsch
K (eds) Ground improvement. Spon Press, New York,
pp 331–428
52. Vesic AS (1973) Analysis of ultimate load of shallow founda-
tions. J Soil Mech Found Div ASCE 99(SM1):45–73
53. Von Post L (1922) SGU peat inventory and some preliminary
results, pp 1–27
54. YTL product data sheet (2008) Chemical compositions of the
cement. YTL Cement Marketing Sdn Bhd, Kuala Lumpur
Acta Geotechnica
123