Throughout the life of a well, the cement sheath is exposed to several loadings, which can harm its key properties and impede its functions. These loadings become more significant at the early age of forming the cement sheath in which the properties of the cement are not completely developed. In this study, 10 cement samples with and without laponite particles were prepared and cured for five different periods (6, 12, 24, 48, and 72 h). The failure properties, petrophysical parameters, elastic properties, and density variation along the samples were examined. All of the samples were characterized by nuclear magnetic resonance and X-ray diffraction to understand the influence of the curing times on the cement properties. The results showed that the compressive and tensile strengths of both cement systems increased with the curing time and the incorporation of the laponite particle increased the strength of the cement. The permeability of both cement samples decreased with curing time, and the addition of laponite also decreased the permeability of the cement samples because of the presence of laponite-clay particles. The addition of laponite particles also increased the elasticity of the cement as indicated by the decrease in Young's modulus and the increase in Poisson's ratio. Logarithmic relationships were established to represent the changes in porosity, compressive strength, and tensile strength, while the changes in the other properties of permeability, Poisson's ratio, Young's modulus, and density variation were represented accurately with power-law equations.
Throughout the life of a well, the cement sheath is exposed to several loadings, which can harm its key properties and impede its functions. These loadings become more significant at the early age of forming the cement sheath in which the properties of the cement are not completely developed. In this study, 10 cement samples with and without laponite particles were prepared and cured for five different periods (6, 12, 24, 48, and 72 h). The failure properties, petrophysical parameters, elastic properties, and density variation along the samples were examined. All of the samples were characterized by nuclear magnetic resonance and X-ray diffraction to understand the influence of the curing times on the cement properties. The results showed that the compressive and tensile strengths of both cement systems increased with the curing time and the incorporation of the laponite particle increased the strength of the cement. The permeability of both cement samples decreased with curing time, and the addition of laponite also decreased the permeability of the cement samples because of the presence of laponite-clay particles. The addition of laponite particles also increased the elasticity of the cement as indicated by the decrease in Young's modulus and the increase in Poisson's ratio. Logarithmic relationships were established to represent the changes in porosity, compressive strength, and tensile strength, while the changes in the other properties of permeability, Poisson's ratio, Young's modulus, and density variation were represented accurately with power-law equations.
In the petroleum industry,
when the casing is run into the well
to endure the forces of collapse and burst, a slurry of cement is
pumped to fill the annulus between the steel casing and rock formation.[1] The slurry starts to harden gradually, and the
cement sheath is formed. The cement sheath plays a vital role in the
well integrity by providing zonal isolation and prevention of fluids
movement between different formations, protecting the casing string
against corrosion, and providing mechanical support to the casing
and the drilled formations. The failure of cement sheath could lead
to annulus pressurization, migration of formations fluid to the surface,
and blowout in disastrous cases. The hazard of cement failure could
be diminished by designing a high-quality cement sheath that warrants
the essential integrity of the well, reduces the risk of failure coming
from the accumulated materials produced by the physicochemical process,
and stops the formation’s fissures at the interface between
cement and casing and between cement and rock.[2]Recently, many researchers have focused on the addition of
several
materials to the cement slurry to improve its performance, increase
the valuable life span of the well, and minimize costs resulting from
the failures in the cement matrix. One of these additives is laponite
which is a natural inorganic source containing mainly silicate. It
is used as an additive to modify and enhance the rheological properties
of many products.[3−5] Laponite has many advantages such as developing the
viscosity of the formulation by reacting with the soluble components,[6] dispersing in water,[7,8] and
preventing solid aggregation by enhancing its dispersibility.[9−13] A recent study conducted by Elkatatny[14] showed the capability of laponite to enhance the homogeneity of
the cement paste and minimize the density distribution along the column
of cement. Laponite also increased the gel strength property without
any negative impact on the plastic viscosity. In aqueous situations,
laponite degrades into bioactive products that influence cement hydration
in various stages and lead to the acceleration of the cement regeneration
process.[15] Results showed that unique characteristics
of laponite such as aptitude of swelling, the capacity of cation exchange,
the aptitude of gel formation, and the capacity of adsorptive are
because of its high specific surface area, surface charge, and suitable
interaction with inorganic and organic resources.[16]The cement paste is a porous material that develops
progressively
by changing its state gradually from fluid to solid throughout the
hydration process. During cementing process, various compositions
of slurries can be utilized, and their hydration takes place at various
conditions of pressure and temperature based on the depth. Subsequently,
at a given period, cement paste properties rely upon the cement powder
composition, water-to-cement (w/c) ratio, other additives, and hydration
conditions regarding temperature, time, and pressure. Moreover, throughout
the life of oil wells, the cement sheath is exposed to several mechanical
and thermal loadings, which can harm the cement sheath properties
and modify its exhibition. During oil well drilling, the pressure
can reach more than 40 MPa, while during the casing test, the pressure
is varying between 10 and 80 MPa depending on the type of reservoir.[17] These loadings can lead to cement sheath deformation
and accordingly the formation of cracks in the interface of casing-cement
or rock-cement. This is especially significant when these loadings
are applied at a generally early age when the mechanical properties
and strength of the cement are not yet totally created. However, the
shrinkage of cement and the reduction of its pore pressure at the
early stages are known to be the most reasons for leakage in wells.[18−20] Nevertheless, a few experimental studies on evaluating the hydrating
of oil well cement in field conditions and at different curing times
were performed. Most of these studies were concentrated only on the
mechanical properties such as compressive and tensile strengths or
the elastic properties such as Poisson’s ratio and Young modulus.[21,22] However, previous studies did not evaluate the effects on the petrophysical
characteristics such as porosity and permeability and did not evaluate
the change in the mechanical and petrophysical properties with the
development of the hydration process at the early age of hydration.
This information is important especially for new cementing systems
such as the cement slurry incorporating laponite particles which is
considered in this work.There are several experimental methods
to examine the early age
properties of the cement sheath. Some ways focus on the rate of reaction,
while others investigate the chemical or physical properties of the
cement at different time intervals.[23,24]This
paper is dedicated to evaluating the changes in the cement
matrix properties at the early stages of the hydration process for
the cement prepared with and without laponite particles. Several properties
such as compressive strength, tensile strength, porosity, permeability,
Poisson’s ratio, Young modulus, and density variation (DV)
were evaluated during the first 3 days of curing. All of the cement
samples were characterized by several techniques such as nuclear magnetic
resonance (NMR) and X-ray diffraction (XRD) to understand the influence
of the curing times on the cement properties. The different properties
are evaluated at different curing times of 6, 12, 24, 48, and 72 h.
Experimental Program
Materials and Techniques
The primary
materials used in this study are class G cement and laponite. Class
G cement is generally mixed with several additives such as silica
flour, retarder, accelerator, deformer, extender, dispersants, fluid
loss agents, and weighting materials to enable covering a wide range
of wellbore conditions.Class G cement used in this study was
provided by a service company. The chemical composition of the cement
was attained via X-ray diffraction (XRD). After performing the XRD
measurement, the raw data were processed and quantified using the
Rietveld method and HighScore Plus software. The XRD result indicates
that class G cement considered for this study composed of tricalcium
aluminate (C3A) <1%, tricalcium silicate (C3S) = 65%, dicalcium silicate (C2S) = 15%, and tetra calcium
aluminoferrite plus twice tricalcium aluminate (C4AF +
2 C3A) = 18%.The laponite used in this work is a
synthetically modified phyllosilicate
that has a 330 m2/g surface area and a 1000 kg/m3 density. Due to its high specific surface area, laponite could accelerate
the hydration kinetics of the cement slurry by stimulating the precipitation
and nucleation process of calcium silicate hydrate (C–S–H)
as a mass during the early time of reaction.[25,26] This phenomenon causes matrix densification through the quick filling
of the space between the grains of the cement with hydrated phases;
so, increasing the compressive strength and decreasing the cement
matrix porosity.[27−29]The particle size distribution for both class
G cement powder and
laponite was obtained via the wet dispersion unit ANALYSETTE 22 Nano
Tec plus instrument. The results reveal that the median size of the
cement is 20.9 μm which is 34.1% smaller than the median size
of laponite that is 31.7 μm, as shown in Figure .
Figure 1
Particle size distribution of Saudi Class G
cement and laponite.
Particle size distribution of Saudi Class G
cement and laponite.The elemental compositions obtained via X-ray fluorescence
(XRF)
were performed using M4 TORNADO, which uses small-spot micro X-ray
fluorescence. Powder samples were used in the measurement to detect
the elements, and MicroXRF (Bruker) configured with a micro-focused
rhodium source (50 kV, 600 μA) and a polycapillary optic (∼20
μm spot size) was used to acquire the elemental spectra of the
samples. Proprietary M4 software package was used to quantify elemental
intensities from the spectra data.The results of XRF illustrate
that laponite has 60% silicon compared
to only 12% present in class G cement, whereas the cement has a high
amount of calcium (72%) compared to only 1.2% in laponite as depicted
in Figure . It is
also presented that laponite has a high amount of aluminum (Al3+) and iron (Fe2+) which are 18 and 17%, respectively.
These elements in laponite will lead to a kind of pozzolanic reaction
with the high amount of Ca presented in cement. Throughout the hydration
dynamic, the reaction between silicon and calcium ions results in
the formation of calcium silicate hydrates (CSH), where this CSH could
increase the compressive strength.[30,31] Here, the
Al3+ freely goes into the calcium silicate hydrate of the
cement, where this replacement has a significant influence on different
characteristics of the chemical performance of the cement.[32−36]
Figure 2
Compositions
of class G cement and laponite used in this study,
by XRF analysis.
Compositions
of class G cement and laponite used in this study,
by XRF analysis.
Slurries Preparation
The cement slurries
were prepared based on the API standards API[37] and API.[38] The base cement was prepared
to contain class G cement, 0.7% by weight of cement (BWOC) of the
fluid loss additive, 35% BWOC of silica flour, 0.1% BWOC expandable
material, 0.08% BWOC of dispersant, 2.82 × 10–6% BWOC defoamer, and 44% BWOC water. In addition to the additives
considered to make the base slurry, 0.3% BWOC of laponite was added
to another new slurry to make the laponite-based cement slurry; this
concentration of laponite was considered according to the recommendation
of Elkatatny.[14]
Experimental Techniques
After the
preparation, all of the slurries were poured inside cubical and cylindrical
molds based on the needed tests. Then, the molds were placed inside
a water bath full of distilled water at a temperature of 170 °F,
the samples were allowed to cure for different durations of 6, 12,
24, 48, and 72 h. After each period of curing time, samples representing
the base and laponite-based cement were removed from the molds and
subjected to several tests such as failure tests, petrophysical tests,
elasticity tests, density variation, nuclear magnetic resonance (NMR),
and X-ray diffraction (XRD).
Failure Tests
Two failure parameters
of the compressive and tensile strengths were evaluated for all samples
after the different curing periods to study the effect of curing time
on the strength of the laponite-based cement samples. Cubical cement
samples with edges of 2.0 in. were used for the compressive strength
test as recommended by the standard ASTM.[39] For the tensile strength, the Brazilian test was conducted to measure
the indirect tensile strength using a cylindrical sample of 1.5 in.
diameter and 0.75 in. thickness followed the ASTM[40] standard. During the tests, the samples were loaded at
a constant rate of 1.5 kN/s. The compressive and tensile strengths
of every cement sample at the specific curing time were evaluated
on three different specimens and the average strength of the three
measurements was considered as the compressive or tensile strength
for that sample.
Petrophysical Tests
The petrophysical
properties of the porosity and permeability were evaluated for all
samples considered in this study at the different curing periods to
investigate the influence of the curing time on the petrophysical
properties of the laponite-based cement samples. Samples of 1.5 in.
diameter and 1.0 in. thickness were used for petrophysical properties
evaluation. The permeability and porosity were measured by the automated
porosimeter–permeameter based on the length and diameter of
samples, gas viscosity, gas flow rate, and pressure drop.[41] The measurements were conducted using nitrogen
under an applied pressure of 1200 psi, confining pressure of 500 psi,
and room temperature.
Nuclear Magnetic Resonance (NMR)
NMR was applied to evaluate the effect of curing time on the pore
size distribution and porosity changes for the laponite-based cement
samples. Measurements of the relaxation time (T2) were performed on cylindrical cement samples with a diameter
of 1.5 in. and length of 4.0 in. utilizing NMR with a low magnetic
field to cause nuclear spin-precession that is easily detected. A
2 MHz of magnetic field was used by the NMR spectroscopy system “Geospec
rock analyzer” from Oxford Instruments.
Elasticity Test
Young modulus and
Poisson’s ratio were measured to examine the impact of the
curing time on the elastic properties of the laponite-based cement
samples. Cylindrical samples with a length of 4.0 in. and a diameter
of 1.5 in. were used to evaluate the cement elastic properties using
the sonic mode of the scratch test machine. Then, the Young modulus
and Poisson’s ratio were obtained by measuring the ultrasonic
velocities (i.e., pressure and shear waves).[42]
Density Variation (DV)
Cylindrical
samples having a diameter of 1.5 in. and a length of 4.0 in. were
cut into three parts (bottom, middle, and top). The density of each
part was determined by measuring its weight, area, and length. Then,
the density variation across the cement samples was evaluated by taking
the ratio of the difference between the top and bottom densities to
the bottom density.
Mineralogical Composition Analysis
X-ray diffraction (XRD) was utilized to analyze the influence of
the curing time on the changes in the hydration products of the laponite-based
cement samples. Where the changes in the cement hydration over early
periods (first 3 days of hydration) were investigated by XRD.For XRD analysis, the spectra were acquired on a Malvern PANalytical
EMPYREAN Diffractometer system at 2θ range from 4 to 70°
and 0.01° step size. The equipment used for XRD measurement was
equipped with a Pixcel1D detector, a reflection-transmission spinner
(minimum step size ϕ: 0.1) sample stage, a Cu generator with
K-α1 [Å] = 1.54060, K-α2 [Å] = 1.54443 and operated
at a current of 40 mA and 45 kV.
Results and Discussion
Influence on the Failure Parameters
Figure a summarizes
the results of the changes in the compressive strengths of the base
and laponite-based cement systems evaluated at different periods of
curing time (72 h). Visibly, the increase in the curing time strengthened
the early compressive strength for both cement systems. As indicated
in Figure a, the laponite-based
samples have higher compressive strength at all curing times.
Figure 3
Compressive
strength at different curing times for the two cement
systems. (a) Results of the compressive strengths for the two cement
systems at curing times of 6, 12, 24, 48, and 72 h. (b) Expected changes
in the compressive strength of both cement systems for 28 days.
Compressive
strength at different curing times for the two cement
systems. (a) Results of the compressive strengths for the two cement
systems at curing times of 6, 12, 24, 48, and 72 h. (b) Expected changes
in the compressive strength of both cement systems for 28 days.As indicated in Figure a, after 6 h of hydration, the compressive
strength for the
base and laponite-based samples are 44.5 and 49.2 MPa, respectively.
The compressive strength for the base cement then increased slightly
with time to stabilize after 48 h at about 51.5 MPa. For the laponite-based
samples, the compressive strength increased and stabilized after 48
h of hydration also reaching 57.6 MPa. Both cement samples did not
experience a significant increase in compressive strength after 2
days of hydration.The changes in compressive strength of both
systems with time were
investigated mathematically to define the best relationship that descript
these changes. This investigation indicated that the changes in the
compressive strength for both base and laponite-based cement are best
described by the logarithmic relationships of eqs and 2 with correlation
coefficients (R2) of 0.96 and 0.95, respectively,
as shown in Figure a.where UCS is the unconfined compressive strength
(MPa); T is the curing time (h); and the subscripts
base and laponite denote the base and laponite-based cement systems,
respectively.By applying eqs and 2, the expected changes
in the compressive strength
of both systems under study were evaluated for 28 days as shown in Figure b. This figure shows
that most of the changes in the compressive strength of both cement
systems were during the first week of curing. After the first week,
the changes in the compressive strength might be very small, and after
21 days of curing, the compressive strength of both systems could
stabilize.For the results of tensile strengths illustrated
in Figure a, it is
clear that the changes
in the tensile strength agree with the changes in compressive strength
for both systems. Wherein, the tensile strength increases with the
increase of the early curing time and it is greater for the laponite-based
samples at all curing times. The tensile strength was developed gradually
in the base cement system, whereas in the laponite cement system,
there was a sharp increase in the tensile strength during the first
12 h of curing; then, the development in the tensile strength was
gradual in the next 2 days.
Figure 4
Tensile strength at different curing times for
the two cement systems.
(a) Results of the tensile strengths for the two cement systems at
curing times of 6, 12, 24, 48, and 72 h. (b) Expected changes in the
tensile strength of both cement systems for 28 days.
Tensile strength at different curing times for
the two cement systems.
(a) Results of the tensile strengths for the two cement systems at
curing times of 6, 12, 24, 48, and 72 h. (b) Expected changes in the
tensile strength of both cement systems for 28 days.After 6 h of hydration, the base and laponite-based
samples have
tensile strengths of 4.06 and 4.49 MPa, respectively. The tensile
strength of both systems increased to reach 4.36 MPa for the base
sample and 5.12 MPa for the laponite-based sample after 12 h of hydration.
After the first 12 h of hydration, the tensile strength of both systems
increased gradually until the end of the 48 h to reach 4.89 MPa for
the base sample and 6.02 MPa for the laponite-based sample. The tensile
strength of the base and laponite-based samples after 72 h of hydration
were 4.96 and 6.11 MPa, respectively.The regression analysis
indicated that the change in the tensile
strength of the base and laponite-based samples could be represented
accurately (R2 = 0.99) with logarithmic
relationships of eqs and 4, respectively, as shown in Figure a.where TS is the tensile strength (MPa); T is the curing time (h); and the subscripts base and laponite
denote the base and laponite-based cement systems, respectively.Equations and 4 were then used to plot the expected changes in the
tensile strength for both base and laponite-based systems during the
first 28 days of hydration as shown in the plots in Figure b. As indicated in this figure,
during the first 7 days of hydration, most of the development of the
tensile strength of both samples is expected to take place, and there
might only be a slight increase in the tensile strength, which almost
tends to stabilize after 21 days for the base sample and after 24
days for the laponite-based samples.
Influence on the Petrophysical Properties
The permeability was measured for all of the cement samples at
the five early curing times, the results are compared in Figure . These results show
that after 6 h of curing the permeability of the base cement system
was 0.059 mD, which then decreased gradually with the curing time,
this rate of reduction in permeability was decreasing with time and
the base sample reached 0.026 mD after 3 days of curing. The same
trend was noted for the laponite-based sample, which had a permeability
of 0.047 mD after 6 h of hydration, and it was decreasing with the
curing time with a high rate during the first 24 h of curing, then
it tends to stabilize at the end of curing at 0.012 mD.
Figure 5
Permeability
at different curing times for the two cement systems.
(a) Results of the permeability for the two cement systems at curing
times of 6, 12, 24, 48, and 72 h. (b) Expected changes in the permeability
of both cement systems for 28 days.
Permeability
at different curing times for the two cement systems.
(a) Results of the permeability for the two cement systems at curing
times of 6, 12, 24, 48, and 72 h. (b) Expected changes in the permeability
of both cement systems for 28 days.The changes in the permeability of the base and
laponite-based
systems with the curing time were also investigated mathematically
to identify the best relationship to represent these changes. The
results showed that the changes in the permeability for the base and
laponite-based samples are best described by the power relationships
of eqs and 6 with a correlation coefficient (R2) of 0.99 for both cement systems, as shown in Figure a.where K is the permeability
(mD); T is the curing time (h); and the subscripts
base and laponite denote the base and laponite-based cement systems,
respectively.The expected changes in the permeability of the
base and laponite-based
samples for the first 28 days of hydration were then identified using eqs and 6, respectively, as shown in Figure b. This figure shows that the permeability of both
cement systems is expected to experience a considerable decrease within
the first 7 days. The permeability will decrease until the end of
week three but with a small rate compared to that of the first week
of curing. After 24 days of curing, the permeability of both samples
might stabilize.Figure a summarizes
the porosity change for the cement samples of the two cement systems
after 6, 12, 24, 48, and 72 h of curing. Furthermore, it was observed
that the porosity of both the base and laponite-based systems increased
with the curing time. For the base samples, the porosity after 6 h
was 15.3% which increased considerably to stabilize after 72 h of
hydration at 21.6%. The porosity of the laponite-based samples after
6 h of hydration was 12.2%, which later stabilized after 72 h of curing
at a value of 18.0%.
Figure 6
Porosity at different curing times for the two cement
systems.
(a) Results of the porosity for the two cement systems at curing times
of 6, 12, 24, 48, and 72 h. (b) Expected changes in the porosity of
both cement systems for 28 days.
Porosity at different curing times for the two cement
systems.
(a) Results of the porosity for the two cement systems at curing times
of 6, 12, 24, 48, and 72 h. (b) Expected changes in the porosity of
both cement systems for 28 days.The regression analysis indicated that the change
in the porosity
of the base and laponite-based samples could be represented accurately
with the logarithmic relationships of eqs and 8 with R2’s of 0.97 and 0.95, respectively, as
shown in Figure a.where ϕ denotes the porosity (%); T is the curing time (h); and the subscripts base and laponite
represent the base and laponite-based cement systems, respectively.Equations and 8 were then used to plot the expected changes in the
porosity for both base and laponite-based systems during the first
28 days of hydration as shown in the plots in Figure b. As indicated in this figure, during the
first 7 days of hydration a significant increase in porosity with
the increase of curing time for both cement systems is expected. This
rate of increase will slow down, and the porosity might stabilize
after 24 days of hydration, which is in agreement with the changes
in permeability discussed earlier.
NMR Characterization
NMR was implemented
to scrutinize the impact of the curing time on the pore size distribution
of the two cement systems. Moreover, the pore distribution function
(PDF) and cumulative distribution function (CDF) for the whole length
of cement samples (4 in.) are plotted in Figure a for the base cement system and in Figure b for the laponite
cement system. The results showed that for both systems as the curing
time increases the porosity of the samples increased. For instance,
in the base cement system (12, 24, 48, and 72 h of curing the porosities
were 27.4, 29.7, 33.1, 35.2, and 35.3%, respectively). The same trend
was observed in the laponite-based cement system (ich the porosities
of the five curing samples 6, 12, 24, 48, and 72 h were 24.1, 29.3,
29.8, 34.8, and 35.7%, respectively). It can be seen that the porosity
of NMR has a similar trend to the porosity obtained from direct measurement
in Figure , in which
the porosity increases with curing time even though the NMR porosity
values are different from the porosity obtained from direct measurement;
this is attributed to the difference in the measurement techniques.
Figure 7
NMR T2 relaxation for (a) base cement
system and (b) laponite-based cement system, after 6, 12, 24, 48,
and 72 h of curing.
NMR T2 relaxation for (a) base cement
system and (b) laponite-based cement system, after 6, 12, 24, 48,
and 72 h of curing.
Influence on Elastic Properties
Young’s
modulus and Poisson’s ratio are considered the most important
elastic properties of solid materials. Lower Young’s modulus
means high stability of the cement under shear stresses and higher
Poisson’s ratio means low lateral expandability of the cement
(Fjaer et al., 2007).[44] The effect of the
curing times on Young’s modulus of the base and laponite-based
cement systems is illustrated in Figure a. As indicated in this figure, Young’s
modulus of the base cement after 12 h of curing was 20.7 GPa, wherein
the value increased steadily until the end of the first 3 days of
curing to reach 21.5 GPa at 72 h of curing. The same behavior was
noted in the laponite-based cement for which Young’s modulus
after 12 h of curing was 20.5 GPa; then, it increased steeply with
curing time to reach 21.3 GPa after 72 h of curing.
Figure 8
Young’s modulus
at different curing times for the two cement
systems. (a) Results of the Young’s modulus for the two cement
systems at curing times of 12, 24, 48, and 72 h. (b) Expected changes
in the Young’s modulus of both cement systems for 28 days.
Young’s modulus
at different curing times for the two cement
systems. (a) Results of the Young’s modulus for the two cement
systems at curing times of 12, 24, 48, and 72 h. (b) Expected changes
in the Young’s modulus of both cement systems for 28 days.Moreover, it can be seen that, based on the results
of Young’s
modulus, that laponite-based cement has a lower Young’s modulus
compared to the base cement, which indicates that the laponite-based
samples are elastic and apply the same stress on both base and laponite-based
samples will result in having a higher elastic strain on the laponite-based
samples.The changes in Young’s modulus of the base and
laponite-based
systems with the curing time were also investigated mathematically
to identify the best relationship to represent these changes. The
results showed that the changes in Young’s modulus for the
base and laponite-based samples are best described by the power relationships
of eqs and 10 with R2’s of
0.998 and 0.980, respectively, for both cement systems, as shown in Figure a.where Es is the
static Young’s modulus (GPa); T is the curing
time (h); and the subscripts base and laponite denote the base and
laponite-based cement systems, respectively.The expected changes
in Young’s modulus of the base and
laponite-based samples for the first 28 days of hydration were then
predicted using eqs and 10, respectively, as shown in Figure b. This figure shows
that Young’s moduli of both cement systems are expected to
experience a considerable increase within the first 7 days. Young’s
modulus could increase until the end of 24 days but with a small rate
compared to that of the first week of curing. After 24 days of curing,
Young’s modulus of both samples will tend to stabilize.For Poisson’s ratio as shown in Figure a, after 12 h of curing it reached 0.272
for the base cement and 0.278 for the laponite-based cement. Poisson’s
ratio for both cement systems experienced a continuous decrease with
curing to reach 0.256 and 0.261 for the base and laponite-based systems,
respectively. The results in Figure for Poisson’s ratio showed that the laponite-based
samples have a higher Poisson’s ratio compared to those of
the base samples at all curing times, which indicated high elasticity
and low lateral expandability for these samples. This result agrees
with the results of Young’s modulus changes explained in Figure a.
Figure 9
Poisson’s ratio
at different curing times for the two cement
systems. (a) Results of the Poisson’s ratio for the two cement
systems at curing times of 12, 24, 48, and 72 h. (b) Expected changes
in the Poisson’s ratio of both cement systems for 28 days.
Poisson’s ratio
at different curing times for the two cement
systems. (a) Results of the Poisson’s ratio for the two cement
systems at curing times of 12, 24, 48, and 72 h. (b) Expected changes
in the Poisson’s ratio of both cement systems for 28 days.The changes in Poisson’s ratio for the base
and laponite-based
systems with the curing time were also investigated through regression
analysis to find the best relationship to represent these changes.
The results showed that the changes in Poisson’s ratio for
the base and laponite-based samples are best described by the power
relationships of eqs and 12 with R2’s of 0.99 and 0.98, respectively, as shown in Figure a.where υ represents Poisson’s
ratio; T is the curing time (h); and the subscripts
base and laponite are the base and laponite-based cement systems,
respectively.The changes in the Poisson’s ratio for
the base and laponite-based
samples during the first 28 days of hydration were predicted using eqs and 12, respectively, as shown in Figure b. This figure shows that Poisson’s
ratio of both cement systems will experience a considerable decrease
between 12 h and 7 days of curing. Poisson’s ratio will continue
to decrease until the mid of the fourth week but with a small rate
compared to that of the first week of curing. After 24 days of curing
Poisson’s ratio of both samples might stabilize.
Influence on the Density Variation
In many situations, the density distribution along the length of
the cement column is not uniform due to the settling of the solid
particles at the bottom of the cement column. Therefore, it is also
important to investigate the impact of curing times on the density
variation along with the two cement systems under study (density variation
between the top and bottom of the samples) as a function of curing
time.As shown in Figure a, after 12 h of curing, the density variation for
the base and laponite-based samples are 4.9 and 2.3%, respectively.
Density variation was then decreased until 72 h of curing to reach
3.2% for the base sample and 0.5% for the laponite-based sample.
Figure 10
Density
variation at different curing times for the two cement
systems. (a) Results of the density variation for the two cement systems
at curing times of 12, 24, 48, and 72 h. (b) Expected changes in the
density variation of both cement systems for 28 days.
Density
variation at different curing times for the two cement
systems. (a) Results of the density variation for the two cement systems
at curing times of 12, 24, 48, and 72 h. (b) Expected changes in the
density variation of both cement systems for 28 days.The regression analysis indicated that the change
in the density
variation of the base and laponite-based samples could be represented
accurately with the power relationships of eqs and 14 with R2’s of 0.99 and 0.97, respectively, as
shown in Figure a.where DV denotes the density variation (%); T is the curing time (h); and the subscripts base and laponite
represent the base and laponite-based cement systems, respectively.Equations and 14 were then used to plot the expected changes in
the density variation for both base and laponite-based systems during
the first 28 days of hydration, as shown in the plots in Figure b. As indicated
in this figure, during the first 7 days of hydration, a significant
decrease in density variation with the increase of curing time for
both cement systems is expected. This rate of decrease will then slow
down, and the density variation along the samples might tend to stabilize
after 24 days of hydration.
Mineralogical Composition Analysis
After 12, 24, 48, and 72 h of curing, the XRD analysis was performed
to characterize the cement samples and examine the effect of curing
time to adjust the hydrated cement’s composition. The XRD results
of Figure show
the changes in amorphous and portlandite content with curing time
for the base cement and laponite-based samples. The amorphous phase
was appearing at 2θ values of 20.83, 26.61, 36.51, 39.43, 42.41,
45.79, 54.99, 59.95, and 68.29°, while the portlandite was appearing
at 18.01, 28.67, 34.10, 47.12, and 50.81°.
Figure 11
Content of (a) amorphous
and (b) portlandite in the cement samples
after 12, 24, 48, and 72 h of curing as characterized by XRD analysis.
Content of (a) amorphous
and (b) portlandite in the cement samples
after 12, 24, 48, and 72 h of curing as characterized by XRD analysis.As indicated in Figure a, the amorphous content for the laponite-based
samples is
higher than that for the base samples at all curing, while the portlandite
content is higher in the base sample (Figure b).The presence of lower portlandite
content in the laponite-based
samples is attributed to the high silica content in the laponite particles
as reported earlier by Elkatatny.[14] The
decrease in the portlandite content with time for both base and laponite-based
samples is attributed to the progress of the pozzolanic reaction as
explained by Massazza.[43] The progress of
the pozzolanic reaction in base samples was because of the presence
of silica flour, and that for the laponite-based samples was because
of the presence of both silica flour and laponite particles. The higher
amorphous content and lower portlandite content are the reason for
the laponite-based samples to have higher strength (higher compressive
and tensile strengths) and more elasticity (lower Young’s modulus
and higher Poisson’s ratio).
Conclusions
The impact of laponite
particles on the changes of the properties
of class G oil well cement with curing time was investigated in this
study. Cement samples with and without laponite were prepared, and
the changes in their properties were evaluated at five different curing
times of 6, 12, 24, 48, and 72 h. Based on the results, the following
statements are drawn:The incorporation of laponite into well cement increased
the compressive and tensile strengths of well cements compared to
the strengths of a neat well cement, and the strength of both cement
systems increased with the curing time.The addition of laponite decreased the permeability
of the cement matrix compared with the neat cement at all curing times.The elasticity of the cement was improved
by incorporating
the laponite particles, as indicated by the decrease in Young’s
modulus and the increase in Poisson’s ratio.Logarithmic relationships were established to represent
the changes in the compressive and tensile strengths in addition to
porosity, while the changes in the other properties of permeability,
Poisson’s ratio, Young’s modulus, and density variation
were represented accurately with power-law equations.The higher amorphous content and lower portlandite content
are the reasons for the higher strength (higher compressive and tensile
strengths) and higher elasticity (lower Young’s modulus and
higher Poisson’s ratio) of laponite-based samples.