Weidong Xie1, Meng Wang2, Hua Wang1. 1. School of Earth Resources, China University of Geosciences (Wuhan), Wuhan 430074, China. 2. Low Carbon Energy Institute, China University of Mining and Technology, Xuzhou 221008, China.
Abstract
This work presents the adsorption behavior and appearance characteristics of CH4 and CO2 on the Longmaxi shale at high pressure and temperature. To investigate the variation of gas adsorption patterns under the constraint of pressure and temperature, the applicability of the theories of monolayer adsorption, multilayer adsorption, and micropore filling was discussed. The preferential selection coefficient of CO2 for CH4 under different conditions was characterized by the absolute adsorption capacity (V abs) ratio of CO2 to CH4 (αCO2/CH4). Moreover, the implication of the CO2 injection to enhance gas recovery and the CO2 capture and storage (EGR-CCS) process was analyzed. The results exhibit that the excess adsorption curves of CH4 are smooth, and the experimental temperature has no noticeable effect on the shape of curves. At the same time, a "sharp peak" is recorded in the excess adsorption curves of CO2 at low temperatures (30 and 55 °C) near the critical pressure, which is quite distinct from the smooth curves at high temperatures (80 and 100 °C). Correspondingly, there are two "jump pressure" values in the density curves (30 and 55 °C) of the adsorption system and the density curves are divided into three stages. The Dubinin-Astakhov and Brunauer-Emmett-Teller (BET) models show an optimum degree of fit for CH4 and CO2 adsorption curves under all experimental temperature and pressure conditions. The Langmuir model fits the adsorption curves of 80 and 100 °C better, while the BET model is appropriate for 30 and 55 °C. The adsorption affinity of CO2 is higher than CH4, with the value of αCO2/CH4 in the range of 2.47-12.16. The value of αCO2/CH4 increases with a rise in pressure but is inhibited by high temperatures, while the inhibition is negligible when the experimental temperature exceeds 80 °C. The adsorption preferential of CO2 is stronger in the shallow reservoir (αCO2/CH4 > 10.5), and the application prospect of the EGR process is promising. In contrast, the adsorption preferential is slightly weakened in the deep reservoir (αCO2/CH4 < 4.5), which can be considered for CO2 capture, utilization, and storage. Results from this investigation provide novel insights on the adsorption characteristics of CH4 and CO2 on the shale matrix at high pressure and temperature. They are also expected to give certain enlightenment for the EGR-CCS process.
This work presents the adsorption behavior and appearance characteristics of CH4 and CO2 on the Longmaxi shale at high pressure and temperature. To investigate the variation of gas adsorption patterns under the constraint of pressure and temperature, the applicability of the theories of monolayer adsorption, multilayer adsorption, and micropore filling was discussed. The preferential selection coefficient of CO2 for CH4 under different conditions was characterized by the absolute adsorption capacity (V abs) ratio of CO2 to CH4 (αCO2/CH4). Moreover, the implication of the CO2 injection to enhance gas recovery and the CO2 capture and storage (EGR-CCS) process was analyzed. The results exhibit that the excess adsorption curves of CH4 are smooth, and the experimental temperature has no noticeable effect on the shape of curves. At the same time, a "sharp peak" is recorded in the excess adsorption curves of CO2 at low temperatures (30 and 55 °C) near the critical pressure, which is quite distinct from the smooth curves at high temperatures (80 and 100 °C). Correspondingly, there are two "jump pressure" values in the density curves (30 and 55 °C) of the adsorption system and the density curves are divided into three stages. The Dubinin-Astakhov and Brunauer-Emmett-Teller (BET) models show an optimum degree of fit for CH4 and CO2 adsorption curves under all experimental temperature and pressure conditions. The Langmuir model fits the adsorption curves of 80 and 100 °C better, while the BET model is appropriate for 30 and 55 °C. The adsorption affinity of CO2 is higher than CH4, with the value of αCO2/CH4 in the range of 2.47-12.16. The value of αCO2/CH4 increases with a rise in pressure but is inhibited by high temperatures, while the inhibition is negligible when the experimental temperature exceeds 80 °C. The adsorption preferential of CO2 is stronger in the shallow reservoir (αCO2/CH4 > 10.5), and the application prospect of the EGR process is promising. In contrast, the adsorption preferential is slightly weakened in the deep reservoir (αCO2/CH4 < 4.5), which can be considered for CO2 capture, utilization, and storage. Results from this investigation provide novel insights on the adsorption characteristics of CH4 and CO2 on the shale matrix at high pressure and temperature. They are also expected to give certain enlightenment for the EGR-CCS process.
Shale gas is an unconventional
clean energy source, with a wide
distribution, having multiple strata and high reserves, and showing
enormous development potential, and is receiving increasing attention
worldwide.[1,2] Shale with “low porosity and low
permeability” limits its natural productivity. The stimulation
effect of a traditional hydraulic fracturing technology is remarkable.[3,4] However, a series of deficiencies need to be solved by alternative
methods. For instance, the fracturing fluid may trigger a drop in
the groundwater levels. The flowback gives rise to pollution, uncontrollable
local earthquakes caused by the fracturing process, the mechanically
complexity of the fracturing process, and the sensitivity of shale
reservoirs to the fracturing fluid.[5−7] Besides, the hydraulic
fracturing technology is getting worse with the rise in burial depth,
and the development cost is enormous. It is a significant factor limiting
the commercial development of deep shale gas reservoirs. The research
of a new clean stimulation technology is crucial for the development
of deep shale gas reservoirs. On the other hand, CO2 emission
is the dominant proportion of global carbon, which caused a severe
greenhouse effect. Emission reduction and even carbon neutralization
have become the main target of atmospheric environmental protection
in the world. CO2 capture and storage (CCS) is a promising
way to achieve CO2 emission reduction, and the widely distributed
shale reservoir is one of the potential geological bodies.[8,9]CO2 injection to reservoir enhanced gas recovery,
and
realized CO2 CCS is a potential high-quality development
project.[2,10] Its essence is to inject CO2 into
the shale gas reservoir, and CO2 competes with CH4 for adsorption sites on the shale matrix, which boosts CH4 desorption and enhances the recovery. Meanwhile, the excellent sealing
properties of shale allow for the storage of CO2, thereby
being mutually beneficial in improving shale gas recovery and alleviating
global warming. The adsorption capacity and priority of CO2 in shale are higher than that of CH4, which is the basis
of the exhaust gas recirculation (EGR)–CCS process.[2,10] The proportion of adsorbed gas in shale is in the range of 20–85%,[11] so that its successful desorption is crucial
to the stable production of shale gas reservoirs. The adsorption characteristics,
controlling factors, and controlling mechanisms of CH4 and
CO2 in shale have attracted extensive attention. There
is an apparent impact of in situ temperature and pressure, mineral
composition, organic matter content, and pore structure of the reservoir
on the gas adsorption process.[12,13] Wang et al.[14] simulated the adsorption behavior of CH4 (0–10 MPa at room temperature) in the Longmaxi and
Niutitang shales using the Langmuir and Brunauer–Emmett–Teller
(BET) models. Zhou et al.[15] conducted the
adsorption experiments of CH4 and CO2 (0–12
MPa, 35–55 °C), utilizing the Ono–Kondo and Dubinin–Astakhov
(D–A) models. Abdul Kareem et al.[16] performed the adsorption of CO2 (0–15 MPa, room
temperature). Bemani et al.[17] and Eshkalak
et al.[8] carried out the adsorption of CO2 and CH4 on shale and discussed the superiority
of CO2 displacement of CH4. Gu et al.[18] investigated the relationship of αCO2/CH4 versus mineral composition and pore structure
in marine shale. Overall, the adsorption of CO2 and CH4 in shale is controlled mainly by temperature, pressure, mineral
composition, and total organic carbon. The adsorption capacity of
CO2 and CH4 increases gradually with a rise
in pressure until the adsorption equilibrium is reached.[8] Increasing temperature inhibited the adsorption,
and the adsorption capacity decreased with a rise in temperature.[15] The value of αCO2/CH4 also increased with an increase in pressure and reduced with a rise
in temperature.[17,18]However, the maximum experimental
pressure of CO2 and
CH4 adsorption mainly was less than 10 MPa in a previous
work and rarely reached 15 MPa. Experimental pressures over 20 MPa
were exceedingly rare. The exploitation of shale gas has been developed
for deep reservoirs, where the reservoir pressure is greater than
20 MPa. Research on the adsorption behavior of CH4 and
CO2 under high pressure is therefore lacking. Additionally,
the experimental temperature of CO2 and CH4 was
predominantly performed at room temperature. A few scholars discussed
the influence of temperature on the adsorption behavior within a specific
range, generally below 55 °C, but the maximum temperature of
deep shale gas reservoirs is commonly over 100 °C. The research
on CO2 and CH4 adsorption under high temperature
is surprisingly limited, and the effect of temperature and pressure
on αCO2/CH4 also requires further investigation.
Furthermore, the investigation of a proper model fitting of CO2 and CH4 adsorption under high pressure and temperature
is lacking. Besides, it needs to be verified whether the appropriate
models under low pressure and temperature also have a high degree
of fit in high pressure and temperature. It is, therefore, necessary
to perform the model fitting of the isothermal adsorption models for
CO2 and CH4 under high pressure and temperature.This investigation focused on the Longmaxi shale in south Sichuan,
China, and simulated the adsorption behaviors of CH4 and
CO2 under high pressure and temperature (30–100
°C, 0–25 MPa) through isothermal adsorption experiments.
To explore the gas adsorption characteristics of deep shale gas reservoirs
under in situ conditions and the variation of CO2 adsorption
superiority, the Vabs was corrected by
the Vex. The Langmuir, BET, and D–A
isothermal adsorption models were employed to fit the adsorption data
of CH4 and CO2. The applicability of the models
was evaluated using R2 values as the standard
of the degree of fit. The adsorption mechanism and primary occurrence
pattern of CH4 and CO2 in shale were also discussed.
Additionally, αCO2/CH4 were calculated
to analyze the preferential selection coefficient of CO2 for CH4 under different pressures and temperatures. The
research results provide references for adsorption behaviors of CH4 and CO2 on shale and have theoretical significance
for the promotion and development of the EGR–CCS process in
shale gas reservoirs.
Sample, Experiments, and
Methods
Sample Information
In this investigation,
drilling cores of the Longmaxi Formation shale gas reservoir in the
Changning area of the southern Sichuan Basin (Figure ), one of the shale gas exploration and development
demonstration areas in China, are selected as the research objects.
Four black organic-rich shale samples were collected from the lower
part of the Longmaxi Formation in the Lower Silurian in Well X, which
are YS-13, YS-14, YS-15, and YS-16 from bottom to top, and the corresponding
burial depths are 1243.77–1244.04, 1241.74–1242.01,
1239.72–1239.99, and 1237.96–1238.23 m, respectively.
Figure 1
Schematic
diagram of the sampling point tectonic location.
Schematic
diagram of the sampling point tectonic location.
Isothermal Adsorption Experiments of CH4 and CO2
In this investigation, the ISOSORP-SC
high-pressure isotherm adsorption instrument was employed to test
the adsorption behavior of CH4 and CO2 by using
the gravimetric method. The adsorption system consists of a control
cabinet system and magnetic suspension balance system (Figure ). The former can be used to
transport adsorbate, vacuumize, and control experimental pressure.
The latter completes the sample adsorption, temperature control, adsorption
system parameters, and result recording. The experiments were conducted
according to the standard of NB/T 10117-2018. Before the experiments,
the shale samples were ground to 60–80 mesh. During the screening
process, the particles less than 80 mesh should be fully screened
out and each sample should weigh 10 g. The prepared samples were heated
and dried in a vacuum at 110 °C for 12 h to remove the adsorbed
water vapor. According to the adsorption requirements of CH4 and CO2, the gas path was connected, and the working
state of the balance suspension system was checked after startup.
ISOSORP-SC
high-pressure isotherm adsorption instrument.After the airtightness test, blank test, pretreatment experiment,
and buoyancy test, the isothermal adsorption tests were exerted. Specific
experimental details are as follows:First, the CH4 adsorption isotherm experiments were
conducted. The experimental pressure was in the range of 0–25
MPa, 13 pressure points of 0, 2, 4, 22, and 24 MPa were designed totally
and exerted at 30, 55, 80, and 100 °C (YS-16 at 30 °C, YS-15
at 55 °C, YS-14 at 80 °C, and YS-13 at 100 °C), respectively.
The experimental temperature was controlled by a high-precision oil
bath thermostat. After the CH4 isothermal adsorption experiments
at all four temperatures were complete, the samples were vacuumed
at 110 °C for 12 h to remove the residual CH4. After
that, the abovementioned procedures were repeated to conduct the isothermal
adsorption experiments for CO2.
Correction
of Adsorption Capacity
The test result of the isothermal
adsorption experiment is excess
adsorption capacity (Vex), which is the
excess capacity of the adsorption phase density that exceeds the bulk
phase density. This is also known as the Gibbs adsorption capacity.
During the calculation process, the volume of the adsorption phase
is ignored, which leads to a calculated value that is lower than the
actual adsorption capacity. It is, therefore, significant to correct
the actual adsorption capacity, namely, the Vabs.[15,19,20] The high temperature and pressure adsorption model is appropriate
for fixing the gas adsorption capacity in shale (eq ).where Vabs is
absolute adsorption capacity, cm3/g; Vex is excess adsorption capacity, cm3/g; ρa is adsorption phase density, g/mL; and ρg is bulk
phase density, g/mL.Previous studies attempted to assume the
density of adsorbed gas as the density of the boiling point in liquid
at atmospheric pressure or the Van der Waals density of the gas.[1,14,21] For this study, CH4 and CO2 will be transformed into the supercritical state
(CO2: 31.04 °C, 7.38 MPa;[22] CH4: −82.59 °C, 4.59 MPa[23]). It is challenging to meet the requirements of the isothermal
adsorption experiments at different temperatures by simply setting
ρa as a constant. Therefore, scholars proposed that
the Vex will linearly decrease during
the high-pressure stage. The bulk density can be taken as the abscissa,
and the Vex in the descending section
can be taken as the ordinate. The intercept of the fitting curve on
the X-axis is ρa.[24,25]
Fitting Models of the Adsorption Results
Monolayer adsorption, multilayer adsorption, and micropore filling
theories are widely accepted in the research of gas adsorption behavior
on solid adsorbent surfaces and the internal and external surfaces
of porous media. To explore the adsorption pattern of CH4 and CO2 under different temperatures and pressures, the
most representative isothermal adsorption model of the three theories
was selected, which are the Langmuir model, BET model, and D–A
model. The details of calculation principles and methods are as follows:
Langmuir Model
The Langmuir model[26] is a widely accepted isotherm adsorption equation
(eq ). The Langmuir
model assumes that the adsorption energy on the adsorbent surface
is uniform and constant. Only a monolayer of adsorption is formed
on the adsorbent surface, and the adsorption capacity reaches the
maximum when the monolayer adsorption is saturated. Therefore, adsorption
is a monolayer. Also, if the adsorption mechanism is equivalent, no
intermolecular force exists among the adsorbates, which means that
only a gas molecule will be adsorbed at each adsorption site.where P is the experimental
pressure at adsorption equilibrium, MPa; VL is the Langmuir volume, cm3/g, which represents the maximum
adsorption capacity of a monolayer and is determined by the property
of shale and the type of adsorbate; and PL is the Langmuir pressure, MPa, the value is the pressure when the
adsorption capacity equals to VL/2.
BET Model
The BET model was established
by Brunauer et al.,[27] who expanded and
extended the Langmuir model (eq ) and concluded that physical adsorption is caused by the
Van der Waals forces. This model states that the intermolecular force
existed among the adsorbates due to the Van der Waals force of the
gas molecules, thereby formed multilayer adsorption. The BET model
assumes that the adsorption heat of the first layer is constant. The
adsorption heat of each layer is equal to the condensation heat after
the second layer, and the adsorption layers are infinite.where Vm is the
saturated adsorption capacity of a monolayer, cm3/g; p0 is the saturated vapor pressure at the experimental
temperature, MPa; and c is a constant, dimensionless,
related to the adsorption heat.
D–R
and D–A Models
The D–R model[28] is based on the
micropore filling theory and the Polanyi[29] adsorption potential theory (eq ), which is suitable for the adsorption behavior of
gas molecules on the surface of porous adsorbents. It is suggested
that the adsorption mechanism of gas on micropore adsorbents is quite
distinct from that on open surfaces due to the small distances between
the pore walls. The gas adsorption in the micropore fills the pores,
different from the molecular layer adsorption described by the Langmuir
and BET models. The D–A model (eq ) amends the D–R model and has one more fitting
parameter, which significantly enhances the flexibility.where a is the structural
heterogeneity constant of shale, with a value in 1–4 ranges.
Results and Discussion
Vabs and Vex
Adsorption Results of CH4
The morphology
of the Vex curves of CH4 in
four samples is analogous and exhibits a convex shape
(Figure ). Vex increases fast from 0 to 4 MPa, and the increments
gradually reduce with a rise in pressure (4–10 MPa). From 10
to 16 MPa, the Vex drops, and the slope
gradually increases. For Vabs, the adsorption
amount increases continuously with a rise in pressure until the adsorption
equilibrium is reached. The discrepancy of Vabs and Vex grows linearly with
an increase in pressure. This is because the volume of the adsorbed
phase is not accounted for and the larger the bulk density is, the
discrepancy will be more significant with a rise in pressure.
Figure 3
Vex, Vabs, and Vabs–Vex of CH4 adsorption results on shale.
Vex, Vabs, and Vabs–Vex of CH4 adsorption results on shale.
Adsorption Results of CO2
The Vex curves of CO2 at different
temperatures exhibit significant discrepancies (Figure ). The experimental temperatures of YS-13
(100 °C) and YS-14 (80 °C) are higher, and the Vex curves are convex and smooth. Vex increases fast from 0 to 2 MPa, and adsorption incrementally
reduces and increases linearly from 2 to 14 MPa. After that, Vex decreases linearly when P > 16 MPa. In contrast, the experimental temperatures of YS-15
(55
°C) and YS-16 (30 °C) are relatively lower. Although the Vex curves are also convex, a “sharp peak”
(Figure ) existed,
distinct from the high-temperature curves. In previous studies, the
characteristics of CO2 excess adsorption curves can be
divided into two categories: (i) type I adsorption isotherm in BDDT
classification[30] and (ii) typical CH4 excess adsorption curves similar to Figure .[15] The adsorption
experiments were repeated three times and similar experimental phenomena
were obtained. This indicates that the “sharp peak”
of CO2 excess adsorption curves at 30 and 55 °C is
anomalous and should be deeply explored.
Figure 4
Vex, Vabs, and Vabs–Vex of CO2 adsorption results on shale.
Vex, Vabs, and Vabs–Vex of CO2 adsorption results on shale.The “sharp peak” of excess adsorption curves on YS-15
(55 °C) and YS-16 (30 °C) approximately starts at 6 MPa
and ends at 14 MPa and reaches the maximum at 10 MPa (Figure ). Tsuzuki et al.,[31] Yang et al.,[32] and
Nikolai et al.[33] reported that when CO2 is close to the critical state, the sensitivity of compressibility
to pressure change is significantly improved, and the aggregation
behavior is remarkable; and when far away from the critical pressure,
the state of CO2 tends to stable again. The tiny change
of pressure will have a significant impact on the density and viscosity
of CO2 nearing the critical pressure. The characteristics
of density variation in the adsorption system during the adsorption
of CH4 and CO2 were analyzed (Figure ). The curves of CH4 density versus experimental pressure are characterized by a “single
stage”, which is determined by the thermodynamic and transport
properties of CH4. It is a gradual system in the adsorption
process, corresponding to the smooth and continuous characteristics
of CH4 excess adsorption curves in Figure . In contrast, the density curves of CO2 of YS-13 (100 °C) and YS-14 (80 °C) are characterized
by “double stages”, and the “jump pressure”
is about 7 MPa, nearing the critical pressure. For YS-15 and YS-16,
the experimental temperature is relatively close to the critical temperature
of CO2, and the density curves are characterized by “ternary
stages” separated by two “jump pressure” values
(Figure ). Namely,
CO2 is in a subcritical state (0–7 MPa), the compressibility
is relatively lower, resulting in a slow rise in the correlation curves
of density versus experimental pressure in stage ①. Then, the
property of CO2 becomes active nearing the critical pressure.
The sensitivity of compressibility and density to pressure increases
significantly, resulting in a sharp rise in the slope of stage ②.
When the pressure is far away from the critical pressure, CO2 transforms into a stable supercritical state. The sensitivity of
compressibility and density to the pressure becomes steady, resulting
in a slower slope of the density curves of stage ③ (Figure ). In addition, although
the experimental temperature of YS-16 is 30 °C, which is slightly
lower than the critical temperature of CO2. Yang et al.[32] and Nikolai et al.[33] suggested that the CO2 properties also change significantly
when it approaches the critical temperature. Overall, the adsorption
capacity and density of the CO2 are obviously decreased
at high temperature, especially when CO2 is in a supercritical
state, the regularity is more prominent, which is consistent with
the current general understanding.
Figure 5
Density curves of CO2 and CH4 in the adsorption
system.
Density curves of CO2 and CH4 in the adsorption
system.
Model
Fitting of the Adsorption Behaviors
In Figures and 4, the Vabs curves of
CH4 and CO2 (especially the latter one) at different
experimental temperatures are diverse, which indicates that the temperature
has a particular influence on the adsorption characteristics and mechanism
of gas on the shale matrix. Therefore, it is necessary to re-explore
the applicability of monolayer adsorption (Langmuir model), multilayer
adsorption (BET model), and micropore filling (D–A model) theories
to the adsorption behavior of CH4 and CO2 at
different temperatures, respectively. The specifications are as follows:
Fitting Results of the Langmuir Model
The Langmuir
model has an excellent degree of fit of CH4 adsorption
behavior at different experimental temperatures (R2 = 0.9948, 0.9953, 0.9918, and 0.98003, respectively).
The degree of fit of CO2 adsorption behaviors at different
temperatures is significantly distinct (R2 = 0.9848, 0.9738, 0.93222, and 0.93437, respectively) (Figure ). For YS-13 and
YS-14, the experimental temperatures are higher (100 and 80 °C),
and the degree of fit is relatively favorable. Conversely, the degree
of fit of YS-15 and YS-16 is relatively lower (R2 < 0.94), indicating that the monolayer adsorption theory
is not the most suitable model to describe CO2 adsorption
at 30 and 55 °C. The higher the temperature, the better the degree
of fit, and the more closely it approaches the monolayer adsorption
theory. The reason behind this phenomenon is that the gas diffusion
ability in shale becomes more substantial, the adsorption stability
becomes worse, and the total adsorption amount becomes smaller with
the increase of experimental temperature.[9,34] In
contrast, the adsorption energy between shale matrix and the first
layer (monolayer) is higher than that of other adsorption layers (multilayer),
results in relatively better adsorption stability at high temperature.
Figure 6
Fitting
results of the Langmuir model of CH4 and CO2 adsorption behaviors on shale.
Fitting
results of the Langmuir model of CH4 and CO2 adsorption behaviors on shale.
Fitting Results of the BET Model
The
degree of fit of the BET model for CH4 is all favorable
(R2 = 0.9898, 0.9903, 0.9976, and 0.9951,
respectively) (Figure ). The degree of fit of YS-15 and YS-16 by using the BET model is
higher than that of YS-13 and YS-14, which is contrary to the relevant
results of the Langmuir model. Under high temperatures, the velocity
and diffusion coefficient of gases are large, and the adsorption behavior
of CH4 on shale is closer to that of monolayer adsorption.
Therefore, the Langmuir model is more appropriate. Still, at 55 and
30 °C, the adsorption behavior of CH4 on shale is
closer to multilayer adsorption of the BET model, with relatively
lower molecular velocities and diffusion coefficients. The degree
of fit of CO2 adsorption by using the BET model is also
excellent (R2 = 0.9943, 0.9870, 0.9840,
and 0.9967, respectively), and the variation of the degree of fit
is similar to that of CH4.
Figure 7
Fitting results of the BET model of CH4 and CO2 adsorption behaviors on shale.
Fitting results of the BET model of CH4 and CO2 adsorption behaviors on shale.
Fitting Results of the D–A Model
The fitting variable of the D–A model is P/P0 in eq , while the saturated vapor pressure (P0) changes with a change in the experimental temperature.
In this work, the saturated vapor pressure was calculated by using eq . It was found that the
experimental pressure is higher than the saturated vapor pressure
for high-temperature CO2 adsorption experiments, which
does not conform to the original theory of the D–A model. Therefore,
referring to the treatment of Wang et al.,[35] the physical meaning of ρg/ρa is,
in essence, synonymous to that of P/P0, and by replacing P/P0, a positive fit can be obtained.where Pc is the
critical pressure of adsorbed gas, MPa; Tc is the critical temperature of absorbed gas, K; ΔH is the standard boiling point vaporization enthalpy of adsorbed
gas, cal/mol; and R is the general constant of gas,
J/mol·K.The D–A model has the optimum degree of
fit of the CH4 adsorption curves, where the R2 values are all greater than 0.99 (R2 = 0.9980, 0.9954, 0.9957, and 0.9914, respectively)
(Figure ). The degree
of fit of the CO2 adsorption curves also promises (R2 = 0.9939, 0.9864, 0.9935, 0.9964, respectively)
(Figure ). There is
no obvious regularity between the degree of fit vs experimental temperature,
which indicates that the D–A model is not only proper for the
fitting of CH4 and CO2 adsorption behaviors
in shale but also has low sensitivity to temperature and wide application
range. The adsorption pattern of CH4 and CO2 is better explained by the micropore filling theory correspondingly.
Figure 8
Fitting
results of the D–A model of CH4 and CO2 adsorption behaviors on shale.
Fitting
results of the D–A model of CH4 and CO2 adsorption behaviors on shale.
Applicability of the Adsorption Theories
and Models
The degree of fit of the three models to the curves
of CH4 absolute adsorption curves is favorable, with the R2 values of all samples are higher than 0.98
(Figure ). In general,
the applicability of D–A > BET > Langmuir. Additionally,
the
performance of the three models is a discrepancy in the different
experimental temperatures. For the Langmuir model, the degree of fit
for high-temperature samples is better, which indicates that high-temperature
promotes the formation of monolayer adsorption. However, the performance
of the BET model is opposite to the Langmuir model, and it is more
appropriate for low temperature samples, which indicates that low-temperature
promotes the formation of multilayer adsorption. The degree of fit
of the D–A model is less affected by temperature and has a
high applicability. For CO2 adsorption, the fitting effect
of the BET and D–A models (all R2 values are higher than 0.98) is better than that of the Langmuir
model in the fitting of CH4 and CO2 adsorption
behaviors (Figure ). The performance of the Langmuir model at high temperature (R2 > 0.97) is apparently more potent than
that
at low temperature (R2 < 0.94). In
contrast, the BET and D–A models do not exhibit apparent regularity
for temperature.
Figure 9
Degree of fit of the Langmuir, BET, and D–A models.
Degree of fit of the Langmuir, BET, and D–A models.With the increase of experimental temperature,
the gas diffusion
ability increases and the stability of adsorbed gas on the pore surface
decreases.[9,34,36] Therefore,
monolayer adsorption is easier to form on the surface of the shale
matrix, and high temperature has a particular hindrance to the multilayer
adsorption. Additionally, Gu et al.[18] indicated
that the gas adsorption tends to monolayer with the increase of temperature.
Hence, the Langmuir model has better adsorption performance at high
temperature, and the BET model is outstanding for low temperature.
An et al.[37] demonstrated that gas in the
micropore of coal reservoir occurs in overlapping filling adsorption.
The excellent degree of fit of the D–A model for CH4 and CO2 adsorption in this investigation proves that
this conclusion is also applicable in shale reservoirs, and it has
promising applicabilities at different temperatures.
Preferential Selection Coefficient of CO2 for CH4
The αCO2/CH4 of the
four samples are in the range of 2.64–4.29,
2.47–4.15, 3.72–11.35, and 4.46–12.16, respectively
(Figure a). αCO2/CH4 increases with the rise in experimental pressure
until it reaches equilibrium. However, the shape of high temperature
curves (YS-13 and YS-14) is different from that of low-temperature
curves (YS-15 and YS-16). The slope of high-temperature curves is
slight, and the equilibrium pressure is about 18 MPa, while the slope
of low-temperature curves is large, and the equilibrium pressure is
about 14 MPa. The equilibrium values of the former (αCO2/CH4 > 10.5) is much larger than that of the
latter
(αCO2/CH4 < 4.5), which suggested that
with the rise in experimental temperature, αCO2/CH4 decreases (R2 = 0.8609) and equilibrium
pressure increases (Figure a,b). Notably, the αCO2/CH4 curves
of YS-13 (100 °C) and YS-14 (80 °C) are similar. Most of
the equilibrium values coincide. It can be inferred that when the
temperature is higher than a certain value (80 °C in this work),
the inhibition of temperature on the adsorption superiority of CO2 is negligible.
Figure 10
Variation of αCO2/CH4 at different
experimental pressures and temperatures. (a) Curves of αCO2/CH4 versus experimental pressure and (b) correlation
of αCO2/CH4 vs experimental temperature.
Variation of αCO2/CH4 at different
experimental pressures and temperatures. (a) Curves of αCO2/CH4 versus experimental pressure and (b) correlation
of αCO2/CH4 vs experimental temperature.
Implication to the EGR–CCS
Process
Implication to the EGR Process
The adsorption capacity of CO2 is evidently stronger than
that of CH4. The discrepancy of molecular structure, molecular
size, boiling point, self-diffusion coefficient, and adsorption stability
leads to the superiority of CO2.[38−40] Therefore,
injecting CO2 into shale reservoirs to enhance gas recovery
(CO2–EGR) is regarded as one of the most potential
clean and efficient development schemes. In the 30 and 55 °C
curves of Figure a, when the experimental pressure is in the range of 10–24
MPa, αCO2/CH4 is higher than 10.5. According
to the characteristics of the hydrostatic pressure gradient (1 MPa/100
m) and conventional geothermal gradient (2.5–3.0 °C/100
m), the reservoir temperature and pressure conditions of 10 MPa and
30–55 °C can be reached with a burial depth of 1000 m.
It is speculated that CO2 injection can significantly enhance
the recovery of CH4. Furthermore, exploring a deep shale
gas reservoir (with a burial depth > 3500 m) has captured attention
worldwide. Immature exploited technology and huge development costs
limit the commercial development of deep gas reservoirs. The CO2–EGR process can be regarded as a potential alternative
development technology. In Figure a, the αCO2/CH4 values
are lower than 4.5 in 80 and 100 °C. Although it is lower than
that of low temperature, the CO2–EGR process still
has considerable application potential.
Implication
to the CCS Process
CCS or CCUS (CO2 capture, utilization,
and storage) process
is an effective approach to achieve CO2 emission reduction.
CO2 used for utilization and storage can be obtained from
existing industrial processes to avoid further aggravation of the
greenhouse effect. The widely distributed and huge shale gas reservoir
is one of the potential geological reservoirs. In Figure a, the αCO2/CH4 values tend to be stable when reached equilibrium
pressure, which indicated that once the underground storage of CO2 is completed, the possibility of leakage is low. Additionally,
in the shale gas reservoirs with a burial depth of over 1000 m, CO2 behaves like a supercritical fluid and its injection has
significant engineering advantages. In a pore system of shale dominated
by slit pores, plate-shaped pores, and ink bottle pores,[41,42] the throat of an ink bottle pore is narrow, and the internal CH4 molecule is difficult to move out during the process of conventional
depressurization and drainage. Wang et al.[43] revealed that supercritical CO2 would react with organic
matter and minerals in the pore wall, which widens the pore throat
and increases CH4 drainage. Additionally, hydraulic fracturing
in the shale can be seriously affected by “water sensitivity”
and “collapsibility” due to the high clay content of
shale, which may cause the internal blocking of pores, damage pore
connectivity and influence the effectiveness of hydraulic fracturing.
In contrast, fracturing fluid based on supercritical CO2 has the characteristics of low viscosity, high diffusion, high density,
low rock-breaking threshold, and fast speed.[44,45] Zhang et al.[46] also implied that the
injection pressure of the CO2 fracturing process is lower
and the fracture dispersion is wide. Therefore, it is easy for the
CO2 to communicate with the original pore system and form
a gas migration network channel.Although the EGR–CCS
process has great application potential, it is not mature yet and
several critical bottlenecks exist in the application process. (i)
the cost of CO2 acquisition, transportation, and injection
is vast, which is regarded as an economic burden at present; (ii)
the phase transformation of CO2 is fast and complex, and
the change of its properties and state is not completely clear under
high pressure and temperature. It is also essential to clarify the
reservoir strain caused by the CO2 injection process, as
well as the gas migration—displacement—desorption process,
to ensure the displacement efficiency and stability of CO2 underground storage; and (iii) the sand carrying capacity of CO2 based fracturing fluid is lower than that of water-based
fracturing fluids, and its viscosity is low, which may result in sand
plugging the fractures. The above problems are the crucial directions
in further work.
Conclusions
The adsorption
capacity of CH4 is relatively low at high experimental
temperature, and there
was no apparent correlation between them; while a linear negative
correlation was recorded between CO2 adsorption capacity
versus experimental temperature. The D–A model has a perfect
degree of fit for CH4 and CO2 adsorption behavior
and has a high adaptability to temperature. Micropore filling theory
is suitable for simulating gas adsorption behavior in deep and shallow
gas reservoirs. The BET model also has a promising degree of fit for
CH4 and CO2, while it is more applicable at
low temperatures. Contrarily, the degree of fit of the Langmuir model
is more suitable for high temperatures. The adsorption behavior of
gas in shale tends to transform from multilayer to monolayer with
increased temperature.αCO2/CH4 of the four samples is in the
range of 2.64–4.29, 2.47–4.15,
3.72–11.35, and 4.46–12.16, respectively. The values
are positively correlated versus experimental pressure and negatively
correlated versus experimental temperature. For YS-15 and YS-16, the
equilibrium αCO2/CH4 is over 10.5, the
injection of CO2 can promote the desorption of CH4. By contrast, the equilibrium αCO2/CH4 of YS-13 and YS-14 is below 4.5, which suggests that the injection
of CO2 will enhance CH4 recovery and realize
the geological CCS of CO2 with a low leakage risk.
Authors: Judith C Chow; John G Watson; Antonia Herzog; Sally M Benson; George M Hidy; William D Gunter; Stanley J Penkala; Curt M White Journal: J Air Waste Manag Assoc Date: 2003-10 Impact factor: 2.235