Juan Zhou1,2, Zhehui Jin2, Kai H Luo3. 1. Center for Combustion Energy, Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Energy and Power Engineering , Tsinghua University , Beijing 100084 , China. 2. School of Mining and Petroleum Engineering, Department of Civil and Environmental Engineering , University of Alberta , Edmonton , Alberta T6G 1H9 , Canada. 3. Department of Mechanical Engineering , University College London , Torrington Place, London WC1E 7JE , U.K.
Abstract
Enhanced recovery of shale gas with CO2 injection has attracted extensive attention as it combines the advantages of improved efficiency of shale gas recovery and reduced greenhouse gas emissions via CO2 geological sequestration. On the other hand, the microscopic mechanism of enhanced shale gas recovery with CO2 injection and the influence of the subsurface water confined in the shale nanopores remain ambiguous. Here, we use grand canonical Monte Carlo (GCMC) simulations to investigate the effect of moisture on the shale gas recovery and CO2 sequestration by calculating the adsorption of CH4 and CO2 in dry and moist kerogen slit pores. Simulation results indicate that water accumulates in the form of clusters in the middle of the kerogen slit pore. Formation of water clusters in kerogen slit pores reduces pore filling by methane molecules, resulting in a decrease in the methane sorption capacity. For the sorption of CH4/CO2 binary mixtures in kerogen slit pores, the CH4 sorption capacity decreases as the moisture content increases, whereas the effect of moisture on CO2 sorption capacity is related to its mole fraction in the CH4/CO2 binary mixture. Furthermore, we propose a reference route for shale gas recovery and find that the pressure drawdown and CO2 injection exhibit different mechanisms for gas recovery. Pressure drawdown mainly extracts the CH4 molecules distributed in the middle of kerogen slit pores, while CO2 injection recovers CH4 molecules from the adsorption layer. When the water content increases, the recovery ratio of the pressure drawdown declines, while that of CO2 injection increases, especially in the first stage of CO2 injection. The CO2 sequestration efficiency is higher under higher water content. These findings provide the theoretical foundation for optimization of the shale gas recovery process, as well as effective CO2 sequestration in depleted gas reservoirs.
Enhanced recovery of shale gas with CO2 injection has attracted extensive attention as it combines the advantages of improved efficiency of shale gas recovery and reduced greenhouse gas emissions via CO2 geological sequestration. On the other hand, the microscopic mechanism of enhanced shale gas recovery with CO2 injection and the influence of the subsurface water confined in the shale nanopores remain ambiguous. Here, we use grand canonical Monte Carlo (GCMC) simulations to investigate the effect of moisture on the shale gas recovery and CO2 sequestration by calculating the adsorption of CH4 and CO2 in dry and moist kerogen slit pores. Simulation results indicate that water accumulates in the form of clusters in the middle of the kerogen slit pore. Formation of water clusters in kerogen slit pores reduces pore filling by methane molecules, resulting in a decrease in the methane sorption capacity. For the sorption of CH4/CO2 binary mixtures in kerogen slit pores, the CH4 sorption capacity decreases as the moisture content increases, whereas the effect of moisture on CO2 sorption capacity is related to its mole fraction in the CH4/CO2 binary mixture. Furthermore, we propose a reference route for shale gas recovery and find that the pressure drawdown and CO2 injection exhibit different mechanisms for gas recovery. Pressure drawdown mainly extracts the CH4 molecules distributed in the middle of kerogen slit pores, while CO2 injection recovers CH4 molecules from the adsorption layer. When the water content increases, the recovery ratio of the pressure drawdown declines, while that of CO2 injection increases, especially in the first stage of CO2 injection. The CO2 sequestration efficiency is higher under higher water content. These findings provide the theoretical foundation for optimization of the shale gas recovery process, as well as effective CO2 sequestration in depleted gas reservoirs.
Shale
gas, which predominantly consists of methane, has become
an increasingly important energy source owing to its low emissions,
high energy efficiency, and abundant reserves in the world.[1,2] In contrast to the conventional reservoirs, shale rocks have the
characteristics of extremely low permeability in the nanodarcy range
and low porosity.[3] The development of horizontal
and hydraulic fracturing methods has greatly advanced shale gas exploitation
in the United States.[4,5] Unfortunately, the widely used
depressurization method becomes inefficient and significant amounts
remain unrecoverable.[6] Recently, enhanced
gas recovery (EGR) with CO2 injection is considered to
be a promising alternative that can not only enhance shale gas productivity
but also mitigate the climate change via geological CO2 sequestration,[7] in which CO2 captured from power plants is injected into the shale gas reservoirs
and sequestrated in a safe and permanent manner. The idea of swapping
CO2 for CH4 can also be applied to other replacement
reactions, such as the recovery of CH4 from hydrate reservoirs.[8]Kerogen makes up the major organic part
of the shale rocks[9] and pores, mainly at
the nanoscale, where a large
amount of shale gas can be stored.[10] Therefore,
it is crucial to understand the adsorption properties of CH4 and CO2 in kerogen in an attempt to enhance the efficiency
of shale gas recovery and CO2 sequestration. It is also
well known that shale is under moist conditions.[11−14] For example, kerogen from the
Kuonamka Formation was reported to have moisture contents ranging
from 0.6 to 5%.[11] Plenty of experimental
work studied the effects of moisture on pure methane adsorption and
suggested that the presence of water occupies the pore volume and
thus leads to a sharp decrease in the methane adsorption capacity
in shale.[14−17] On the other hand, relatively few experiments focused on the influence
of moisture on the competitive adsorption of CH4 and CO2. Gensterblum et al.[18] investigated
the effect of preadsorbed water on the CH4 and CO2 adsorption in coals and observed that the CO2/CH4 adsorption ratios at low surface coverage are generally higher
in moist coals than in dry conditions, and with the presence of water,
the mobility of CO2 and CH4 is reduced. Few
laboratory studies have been reported on the competitive adsorption
of CO2 and CH4 in the moist kerogen. Isolation
of the kerogen from shale samples with the morphology of the kerogen
intact remains challenging for experiments.[9] Moreover, shale rocks contain a large amount of nanoscaled pores,
further increasing the difficulties of experimental approaches in
probing the adsorption behaviors in shales.Molecular simulations
have been successfully applied to interfacial
and colloid science,[19] including adsorption,[20−22] wetting,[23,24] and surfactants.[25] Much research in recent years has made significant progress
in understanding the competitive adsorption of CH4 and
CO2 in kerogens using grand canonical Monte Carlo (GCMC)
simulations.[26−30] Huang et al.[29] investigated the effect
of moisture on the CO2/CH4 competitive adsorption
in kerogen matrix and found that the increased moisture content leads
to a decrease in adsorption capacity, and the CO2/CH4 adsorption selectivity first decreases and then increases.
However, most of the work focused on the adsorption inside the kerogen
matrix, in which the pores are isolated and not well connected, and
the pore size is only a few angstroms. Recently, Wang et al.[31] studied the adsorption of CH4/CO2 mixtures in moist kerogen using a 2 nm wide slit-pore model
and stated that the effect of moisture content on adsorption selectivity
is not obvious for shale kerogen slit nanopores. A more realistic
kerogen pore structure is used in their study, but the water molecules
are placed inside the kerogen matrix rather than within the slit pores.
The interaction between water and the adsorbate gas, which is mainly
located in the slit pores, is weakened due to the separation. Therefore,
the moisture effects on the adsorption of CH4 and CO2 are still not fully understood. In addition, the dependence
of adsorption selectivity on pressure and pore size is extensively
used in the previous research.[29−32] To some extent, it can imply the relative adsorption
affinity of CH4 and CO2 to the adsorbent but
fails to reflect the shale gas recovery process with CO2 injection, namely, CO2 huff-n-puff process, consisting
of three stages: CO2 injection, soaking, and production.[6] CO2 is first injected into the production
well (huff) and then the well is shut in and soaks for a period; finally
comes the production (puff).[6]In
this work, we aim to reveal the effects of moisture on the competitive
adsorption of CH4/CO2 binary mixtures in kerogen
using GCMC simulations. Kerogen slit-pore models of different pore
widths are constructed to represent the pore structure in shale.[33,34] First, we analyze the adsorption of pure methane in kerogen slit
pores with and without the presence of moisture under a wide range
of pressures from 10 to 60 MPa. Then, we discuss the moisture effects
on the adsorption of CH4/CO2 binary mixtures
in detail. Finally, we simulate the enhanced shale gas recovery by
CO2 huff-and-puff and compare the mechanisms of the pressure
drawdown and CO2 injection processes on shale gas recovery.
The effects of moisture on the shale gas recovery and CO2 sequestration are also revealed.
Methods
Molecular Models
Kerogen can be classified
into four types according to the depositional origin.[35,36] Type II kerogen, typically derived from marine sediments, is selected
in this work for its abundance in shale deposits, as well as good
potential for generating oil/gas.[37−39] The kerogen molecular
unit (type II-C) used in the simulations was proposed by Ungerer et
al.[40] on the basis of experimental data
from the Duvernay shale formation.[41] Besides,
type II-D kerogen has also been used to study the shale gas sorption
behavior.[42]Molecular dynamics (MD)
simulations are conducted in the canonical ensemble (NVT) and isobaric–isothermal
ensemble (NPT) using the large-scale atomic/molecular massively parallel
simulator (LAMMPS) package[43] to generate
kerogen matrixes and slit pores. The Dreiding force field[44] is employed to describe the kerogen properties.
First, the initial structure of the kerogen macromolecule is relaxed
individually. Then, 12 relaxed kerogen units are randomly placed in
a simulation box of 100 × 100 × 100 Å3.
The final configuration of the kerogen matrix was created through
a series of annealing procedures, as reported in Collell et al.[45] The density of the simulated kerogen matrix
is 1.22 ± 0.02 g/cm3, which is within the range of
the experimental value of mature shales (1.18–1.35 g/cm3).[46] The pore size distribution
of the kerogen matrix is presented in Figure S1, calculated by the method of sphere insertion proposed by Bhattacharya
and Gubbins.[47] Finally, we extend the simulation
box in the Z-direction to create a kerogen slit nanopore,
as shown in Figure . Note that we use the slit-shaped pore model as slit pores are very
common in shale formations.[33,34] The pore width W is defined as the distance between the rightmost atom
in the left slab and the leftmost atom in the right slab in the Z-direction. Two pore widths of 2 and 4 nm are constructed
to investigate the pore size effects.
Figure 1
Atomistic model of kerogen slit nanopore.
The pore width is 2 nm.
Carbon atoms are depicted by gray balls, hydrogen by white, oxygen
by red, nitrogen by blue, and sulfur by purple.
Atomistic model of kerogen slit nanopore.
The pore width is 2 nm.
Carbon atoms are depicted by gray balls, hydrogen by white, oxygen
by red, nitrogen by blue, and sulfur by purple.Methane molecules are simulated using TraPPE force field,
and the
united-atom model is applied.[48] The carbon
dioxide molecule is treated as a rigid and linear structure with TraPPE-EH
force field, where the C–O bond length and O–C–O
bond angle are fixed as 1.16 Å and 180°, respectively.[49] The SPC/E model[50] is chosen for water with the O–H bond length of 1 Å
and the H–O–H angle of 109.47°. Interaction between
two atoms is calculated by the sum of Lennard-Jones (LJ) and electrostatic
potential energywhere r is the distance
between atoms i and j; ε and σ represent the LJ potential well depth and
the zero-potential distance, respectively; q is the
charge of atoms; and k = 8.988 × 109 N·m2·C–2 is the electrostatic constant. The force field parameters are listed
in Table . Lorentz–Bertherlot
mixing rules[51] are adopted to calculate
interactions between unlike atoms. A cutoff distance of 14 Å
is employed for short-range Lennard-Jones interactions, and analytical
tail corrections are applied.[52] As our
system has a finite length along the Z-direction,
the conventional three-dimensional Ewald summation technique is not
valid for the calculation of the long-range electrostatic interactions.
Here, we use the same approach as for the three-dimensional Ewald
summation, but an empty space is inserted between periodic replicas
to avoid the artificial influence from the periodic images in the Z-direction.[52,53] Tests are carried out to ensure
the length of the empty space is long enough that the artificial effects
could be eliminated. The entire simulation box including the empty
space is shown in Figure S2. During the
simulations, the molecules are only allowed to move within the kerogen
slit pore, but not into the vacuum.
Table 1
Force Field Parameters
for Methane,
Carbon Dioxide, and Water
atom
ε (K)
σ
(Å)
q (e)
methane
CH4
148
3.73
0
carbon
dioxide
C
27
2.80
0.70
O
79
3.05
–0.35
water
H
0
0
0.4238
O
78.18
3.166
–0.8476
Simulation
Details
GCMC simulations
are carried out in the grand canonical ensemble (μVT) to investigate
the adsorption of CH4 and CO2 in kerogen slit
pores. In the GCMC simulations, gases inside the kerogen slit pores
are assumed to be in equilibrium with an external bulk reservoir under
the same temperature and chemical potentials. The equilibration process
is achieved by performing insertion, deletion, and translation moves
for the gas molecules. For CO2 and H2O molecules,
rotational moves are also applied. The chemical potentials are obtained
by Widom’s insertion method[54,55] using Monte
Carlo simulations in the NVT ensemble, where the fluids are simulated
in bulk phase without confinement. The calculated chemical potential
values are verified by μVT simulations compared to those of
NIST database[56] (Figure S3). The bulk densities of CO2 and CH4 mixtures at a given pressure and temperature are calculated from
the Peng–Robinson equation of state (PR-EOS).[57,58] Bulk densities calculated by PR-EOS have been verified by comparing
μVT simulations, as shown in Figure S4. MCCCS Towhee, a Monte Carlo molecular simulation code, is utilized
in all of the GCMC simulations.[59]During the GCMC simulations, the kerogen slit is kept rigid, but
the water molecules are allowed to move. The number of water molecules
is kept constant, based on the assumption that the water molecules
remain in the pore during the shale gas recovery process. Besides,
the water content is reported as the volumetric mass density of water,
ρHave, in the kerogen slit pore with the unit of g/cm3. The pressure in the simulations denotes the pressure of the external
bulk reservoir, which is in equilibrium with the confined system.
Results and Discussion
In this section, we
first investigate the adsorption of pure CH4 and CH4/CO2 binary mixtures in kerogen
slit pores, and the moisture effects are analyzed in detail. Then,
we discuss the practical implications for the shale gas recovery and
CO2 sequestration during the CO2 huff-and-puff
process.
Adsorption of Pure CH4 in Kerogen
Dry Condition
We present methane
density distributions in various nanopores under dry conditions at
338.15 K in Figure . For all of the pressures, two strong methane adsorption layers
are formed near the kerogen surfaces, and the methane density within
the adsorption layer increases with pressure. Under higher pressures
(over 10 MPa), the CH4–CH4 interaction
becomes stronger and a weak second adsorption layer can be observed.
In the middle of kerogen slit pores, the methane density is higher
in the smaller pore (W = 2 nm) due to the strong
fluid–surface interactions. As the pore width increases (W = 4 nm), the fluid–surface interaction becomes
weaker. As a result, the methane density in the middle of the kerogen
slit pore reaches bulk.
Figure 2
Methane density distributions in (a) 2 nm and
(b) 4 nm kerogen
slit pores under various bulk pressures and T = 338.15
K. Dashed lines represent the CH4 bulk density obtained
from the NIST Chemistry Webbook.[56]
Methane density distributions in (a) 2 nm and
(b) 4 nm kerogen
slit pores under various bulk pressures and T = 338.15
K. Dashed lines represent the CH4 bulk density obtained
from the NIST Chemistry Webbook.[56]
Moist
Condition
To investigate
the moisture effects on methane adsorption in kerogen, the methane
adsorption under different moisture contents is simulated. The snapshots
of CH4 and H2O molecules in the moist kerogen
slit pores (ρHave 0.186 g/cm3) under different
pressures are shown in Figure . For all of the pressure conditions ranging from 10 to 60
MPa, water molecules form clusters in the middle of the kerogen slit
pore, unlike in clay nanopores.[60] This
is because the kerogen is hydrophobic, while the clay is hydrophilic.
Similar phenomena were also reported on graphene and montmorillonite.[61]
Figure 3
Snapshots of CH4 and H2O molecules
in a 2
nm kerogen slit nanopore at 338.15 K under different pressures: (a)
10, (b) 20, (c) 30, (d) 40, (e) 50, and (f) 60 MPa with an average
water density of 0.186 g/cm3.
Snapshots of CH4 and H2O molecules
in a 2
nm kerogen slit nanopore at 338.15 K under different pressures: (a)
10, (b) 20, (c) 30, (d) 40, (e) 50, and (f) 60 MPa with an average
water density of 0.186 g/cm3.The effects of water on the methane density distribution
in 2 nm
kerogen slit pores under different pressures are presented in Figure . In general, the
CH4 density in the middle of the kerogen slit pore decreases
significantly as water molecules are predominantly distributed in
the middle of the pore in the form of clusters. The methane density
distribution in the presence of water is not symmetric because the
water cluster is not located exactly at the center of the slit pore.
For methane within the adsorption layer, the density also slightly
decreases. From the water density distribution (as shown in Figure S5), some water molecules are distributed
near the kerogen surface, occupying the adsorption sites on the surface
and resulting in the decrease of methane in the adsorption layer.
Figure 4
Methane
density distributions in a 2 nm kerogen slit nanopore at
different pressures: P = 10 MPa (blue) and 60 MPa
(red), T = 338.15 K. The solid and dashed lines represent
the CH4 density distribution under dry condition (ρH2Oave = 0 g/cm3) and moist condition (ρH2Oave = 0.186 g/cm3), respectively.
Methane
density distributions in a 2 nm kerogen slit nanopore at
different pressures: P = 10 MPa (blue) and 60 MPa
(red), T = 338.15 K. The solid and dashed lines represent
the CH4 density distribution under dry condition (ρH2Oave = 0 g/cm3) and moist condition (ρH2Oave = 0.186 g/cm3), respectively.The average density of methane
stored in the kerogen slit pore
can be given aswhere ⟨N⟩ is
the ensemble averaged number of methane molecules in kerogen slit
pores, V denotes the volume of the slit pore, and NA is the Avogadro constant. We only consider
the methane molecules in slit pores, excluding those inside the kerogen
matrix. Figure shows
the total uptake of CH4 at 338.15 K in kerogen slit pores
of different pore widths with and without moisture. Statistical uncertainties
on the sorption isotherms are examined, and the errors bars are less
than the symbols. For both pore widths, the amount of adsorbed methane
decreases monotonically with increasing water content. As shown in Figure , the water molecules
are distributed in the middle of the slit pore in the form of clusters
and occupy a fraction of the pore volume. Thus, they impede the pore
filling of methane molecules in the middle of the pore. By comparing
the CH4 total uptakes in different pores (Figure ), the reduction in the average
density of methane is similar for 2 and 4 nm kerogen slit pores, when
they have the same water volumetric density (ρHave 0.186 g/cm3) rather than the same surface density. It demonstrates that
the volumetric density of water may be more appropriate to define
the water content in kerogen to quantify the effect of moisture on
gas adsorption. CH4 excess sorption isotherms in 2 and
4 nm dry kerogen slit pores are also calculated using effective pore
volume from helium adsorption,[62] and the
results are shown in Figure S6. It first
reaches a maximum at around 15 MPa and then decreases with increasing
pressure. Excess sorption in 2 nm kerogen slit pores is larger than
that in 4 nm kerogen slit pores due to the stronger fluid–wall
interaction.
Figure 5
Average density of methane confined in kerogen slit pores
with
pore widths (a) 2 nm and (b) 4 nm at 338.15 K. The black, red, and
blue lines represent the CH4 adsorption at the dry condition
and moist condition of different contents.
Average density of methane confined in kerogen slit pores
with
pore widths (a) 2 nm and (b) 4 nm at 338.15 K. The black, red, and
blue lines represent the CH4 adsorption at the dry condition
and moist condition of different contents.
Adsorption of CH4/CO2 Mixtures in Kerogen
The density distributions
of CH4 and CO2 in the equimolar mixtures at
10 MPa and 338.15 K in kerogen slit pores of different pore widths
are presented in Figure . The density distributions of both CO2 and CH4 have two peaks near the kerogen walls, but the density of CO2 is much higher than that of CH4, as CO2 has a stronger affinity to kerogen than CH4.[63] In the middle of 2 nm kerogen pores, both the
densities of CO2 and CH4 are higher than the
bulk density due to the strong fluid–surface interactions.
When W = 4 nm, the fluid–surface interaction
becomes weaker. Therefore, the densities in the middle of pores approach
the bulk density. The density distributions of pure methane in kerogen
slit pores under the same pressure are also shown in Figure for comparison. With the competitive
adsorption of CO2, the density of methane decreases significantly,
especially on the adsorption layer.
Figure 6
Density distributions of CH4 and CO2 molecules
at 10 MPa and 338.15 K, respectively, in kerogen slit pores of widths
(a) 2 nm and (b) 4 nm. The blue dashed lines represent the CH4 density distribution in single-component adsorption and the
solid lines represent the CH4 and CO2 density
distributions in a binary mixture with a mole fraction of 0.5. The
black dashed lines represent the bulk density of CH4/CO2.
Density distributions of CH4 and CO2 molecules
at 10 MPa and 338.15 K, respectively, in kerogen slit pores of widths
(a) 2 nm and (b) 4 nm. The blue dashed lines represent the CH4 density distribution in single-component adsorption and the
solid lines represent the CH4 and CO2 density
distributions in a binary mixture with a mole fraction of 0.5. The
black dashed lines represent the bulk density of CH4/CO2.Figure displays
the total uptake of CH4–CO2 binary mixtures
of different compositions in the dry kerogen slit pores of different
pore widths at 338.15 K and over a wide range of pressures from 10
to 60 MPa. Similar trends can be observed for CH4 in the
kerogen slit pores of different pore widths that the average density
increases quickly with pressure at the beginning and gradually reaches
a plateau. The average density of CH4 in kerogen slit pores
increases as its mole fraction in the mixtures increases. For CO2 molecules, sorption increases gradually with the increasing
pressure. Similar to CH4, as the mole fraction of CO2 in the binary mixtures increases, an increase in the corresponding
CO2 adsorption can be observed. In the equimolar mixtures,
the CO2 average density in kerogen slit pores is much higher
than that of CH4.
Figure 7
Average density of CH4 (left) and
CO2 (right)
in mixtures of different compositions confined in kerogen slit pores
with pore widths of 2 nm (top) and 4 nm (bottom) under different pressures
at 338.15 K.
Average density of CH4 (left) and
CO2 (right)
in mixtures of different compositions confined in kerogen slit pores
with pore widths of 2 nm (top) and 4 nm (bottom) under different pressures
at 338.15 K.Sorption of CH4/CO2 binary
mixtures in the moist kerogen slit
pores is also investigated using GCMC simulations. As shown in Figure , water clusters
are formed in the kerogen slit pores with the sorption of CH4/CO2 binary mixtures under pressures ranging from 10 to
60 MPa as pure CH4 sorption with moisture. When there is
only methane sorption in the moist kerogen slit pore, the pore surface
is occupied by methane molecules. With the CO2 cosorption,
the adsorption sites on the kerogen surface are mainly covered by
CO2 molecules. Besides, the solubility of methane in water
is much lower than that of CO2.[64] As a result, CH4 sorption in the moist condition is significantly
reduced due to the cosorption of CO2.
Figure 8
Snapshots of CH4/H2O mixtures (top) and CH4/CO2/H2O mixtures (bottom) in 2 nm kerogen
slit nanopores at 338.15 K under different bulk pressures: 10, 30,
and 60 MPa from left to right with an average water density of 0.186
g/cm3. The mole fraction of CH4 in the CH4/CO2 binary mixtures is 0.5.
Snapshots of CH4/H2O mixtures (top) and CH4/CO2/H2O mixtures (bottom) in 2 nm kerogen
slit nanopores at 338.15 K under different bulk pressures: 10, 30,
and 60 MPa from left to right with an average water density of 0.186
g/cm3. The mole fraction of CH4 in the CH4/CO2 binary mixtures is 0.5.Effects of moisture contents on the total uptake of CH4/CO2 binary mixtures are illustrated in Figure . Similar to the
trends in
dry conditions, the average densities of both CH4 and CO2 in moist kerogen slit pores increase when their mole fraction
increases. As the moisture content increases, the methane average
density decreases significantly, independent of its mole fraction
in the mixtures (Figure a). However, the effect of moisture content on CO2 adsorption
is associated with the mole fraction of CO2 in the binary
mixtures. For the case of low CO2 bulk mole fraction in
mixtures (yCO = 0.25), a slight
increase in CO2 adsorption can be found in the moist condition,
while the opposite is true at high CO2 mole fraction (yCO = 0.75). As stated in the previous
section, the presence of moisture fills up the pore volume in kerogen
slit pores, which results in the reduction in CH4 sorption.
With the CO2 cosorption, the water–CH4 binary interaction turns into the water–CH4–CO2 ternary interaction. Since the water–CO2 interaction is much stronger than the water–CH4 interaction, the decrease in accessible pore volumes for CH4 can partially be occupied by the more favorable CO2 sorption. Besides, within the region near the kerogen surface, CO2 exhibits a higher affinity to kerogen compared to CH4. Therefore, the CO2 has a competitive advantage
over CH4 both in the middle of the kerogen slit pore and
near the surface, which are shown in the snapshots (Figure ) and density profiles (Figure S7). When the bulk mole fraction of CH4 is relatively high, the decrease in methane sorption caused
by the presence of water is pronounced. When the mole fraction of
CO2 is higher, both CO2 and CH4 need
to compete with water for adsorption sites or space. The occupation
of water in the kerogen slit pores limits the sorption of CO2 and CH4, thereby diminishing their sorption capacities.
The sorption selectivity of CO2 over CH4 with
different moisture contents is presented in Figure S8 to characterize the preferential adsorption. For the moisture
contents considered in this work, the CO2/CH4 adsorption selectivity increases with increasing moisture content.
Figure 9
Total
uptake of (a) CH4 and (b) CO2 molecules
in mixtures of different compositions at 338.15 K in 2 nm kerogen
slit nanopores with different moisture contents. The solid lines represent
the mixtures with mole fractions of CH4/CO2 =
3:1, dashed lines CH4/CO2 = 1:1, and dotted
lines CH4/CO2 = 1:3. The different colors represent
different water contents: black for ρH2Oave = 0 g/cm3, red for ρH2Oave = 0.186 g/cm3, blue for ρH2Oave = 0.372 g/cm3.
Total
uptake of (a) CH4 and (b) CO2 molecules
in mixtures of different compositions at 338.15 K in 2 nm kerogen
slit nanopores with different moisture contents. The solid lines represent
the mixtures with mole fractions of CH4/CO2 =
3:1, dashed lines CH4/CO2 = 1:1, and dotted
lines CH4/CO2 = 1:3. The different colors represent
different water contents: black for ρH2Oave = 0 g/cm3, red for ρH2Oave = 0.186 g/cm3, blue for ρH2Oave = 0.372 g/cm3.
Implications for Shale
Gas Recovery and CO2 Storage
As outlined in the Introduction, this work aims to unravel the CH4 recovery mechanisms
under moist condition during the pressure drawdown process and CO2 injection to investigate the recovery and sequestration efficiency.
The simplified recovery process consists of two pressure drawdowns
and two CO2 injections, as illustrated in Figure . The initial pressure of
the target shale gas reservoir is assumed to be 30 MPa, which is within
the typical pressure range of realistic reservoir conditions. The
CH4 sorption amount in the kerogen slit pores is obtained
by GCMC simulations. Then, the shale gas recovery is initiated by
the primary pressure drawdown process, and the reservoir pressure
is reduced to 20 MPa, while the amount of CH4 residing
in the kerogen slit pores is calculated via μVT simulation.
Subsequently, CO2 is injected into the shale gas reservoirs.
During this process, we assume that the pore volume in the fractures
(external bulk reservoir) remains the same; therefore, the CH4 density in the bulk phase of CH4/CO2 mixtures is the same as that in pure CH4. The resulting
CH4/CO2 mixtures in the kerogen slit pores are
determined by the chemical potentials of CH4/CO2 mixtures, which are obtained by NVT simulations. After the system
has reached equilibrium, a pressure depletion process is applied again,
while the bulk CH4/CO2 composition stays the
same. The dynamics and transport processes are not considered.[65] This process achieves one cycle of CO2 huff-n-puff in enhanced gas recovery.[6,66] Consequently,
a second CO2 huff-n-puff process is operated.
Figure 10
Schematic
representation of the shale gas recovery process. More
information about the recovery process is provided in the Supporting Information.
Schematic
representation of the shale gas recovery process. More
information about the recovery process is provided in the Supporting Information.Evolution in the composition of fluids in the kerogen slit
pores
during the shale gas recovery process is shown in Figure . During the pressure drawdown,
the average CH4 density in the kerogen slit pores decreases
continuously, and with the injection of CO2, the CH4 molecules are further released. The CO2 molecules
are sequestrated in the kerogen slit pores after injection. The effects
of moisture content are also shown in Figure ; as the moisture content increases, the
average density of methane at the initial stage is reduced from 13.2
mmol/cm3 in the dry conditionto 7.68 mmol/cm3 with an average water density of 0.372 g/cm3, but the
recovery ratio of CH4 after the whole recovery process
is increased from 58.5 to 70.1%.
Figure 11
Composition of fluids in the 2 nm kerogen
slit pores during the
gas recovery process with different moisture contents: (a, b) 0 g/cm3, (c, d) 0.186 g/cm3, and (e, f) 0.372 g/cm3. The arrows in the figure indicate the direction of the recovery
process.
Composition of fluids in the 2 nm kerogen
slit pores during the
gas recovery process with different moisture contents: (a, b) 0 g/cm3, (c, d) 0.186 g/cm3, and (e, f) 0.372 g/cm3. The arrows in the figure indicate the direction of the recovery
process.To compare the efficiency of the
shale gas recovery and CO2 sequestration during every intermediate
process and quantify
the effects of moisture contents, we introduce two parameters: CH4 recovery ratio and CO2 sequestration ratio, taking
the initial pressure (30 MPa) of the reservoir as the reference. The
CH4 recovery ratio is defined as the number of CH4 molecules released during a single process relative to the initial
amount in the kerogen slit pore under 30 MPa with/without moist. The
CO2 sequestration ratio is defined as the number of CO2 molecules sequestrated during the CO2 injection
process relative to its adsorption amount in the kerogen slit pore
under 30 MPa, namely, the maximum amount of CO2 sequestration
in a 30 MPa reservoir with/without moist. The CO2 sequestration
ratio can serve as a parameter for indicating the extent of CO2 sequestration. The two parameters are plotted as a percentage
in Figure under
different moisture contents. As can be seen from Figure a, as the moisture content
increases, the CH4 recovery ratio of the pressure drawdown
processes decreases, while that of CO2 injection processes
increases, which means in the moist conditions, the performance of
the CO2 injection method can be even better, while the
efficiency of the pressure drop method is lowered. In the dry conditions
(0 g/cm3), the first pressure drawdown process accounts
for the largest proportion of the total amount of shale gas recovered,
while in the moist conditions, the CH4 recovery ratio of
the first CO2 injection process is the largest over the
whole recovery process. To clarify the role of CO2 injection
in the recovery process, we calculate the recovery ratio of the process
with the pressure drawdown only from 30 to 20 MPa. The recovery ratios
between the two processes are compared (Figure S9). With the combination of CO2 injection, recovery
ratios are enhanced by 2.4, 3.1, and 5.1 times for water densities
of 0, 0.186, and 0.372 g/cm3, respectively. For the CO2 sequestration during the CO2 injection process
(Figure b), the
CO2 sequestration ratio rises with increasing moisture
content, especially in the first stage. A considerable CO2 sequestration ratio of 63.4% in total can be achieved in the moist
kerogen slit pores at an average water density of 0.372 g/cm3.
Figure 12
CH4 recovery ratio (a) and CO2 sequestration
ratio (b) with respect to water content during the shale gas recovery
process in 2 nm kerogen slit pores at 338.15 K.
CH4 recovery ratio (a) and CO2 sequestration
ratio (b) with respect to water content during the shale gas recovery
process in 2 nm kerogen slit pores at 338.15 K.To explain the different effects of moisture contents on
the pressure
drop method and CO2 injection method, we further investigate
the CH4 recovery mechanisms of the two methods. The evolution
of the CH4 density distributions during the gas recovery
process with different moisture contents is plotted in Figure . After the pressure drawdown,
the CH4 density in the middle of the kerogen slit pore
is reduced, while after the CO2 injection, the decrease
in CH4 density mainly occurs in the adsorption layer near
the kerogen surface, indicating different mechanisms in shale gas
recovery. In other words, the pressure drawdown releases the free
gas in the middle of pores, while the CO2 injection recovers
CH4 from the adsorption layers. In the presence of water
in kerogen slit pores (Figure b,c), since the water molecules accumulate as clusters
in the middle of kerogen slit pores, the moisture content negatively
affects the performance of the pressure drawdown. Meanwhile, the adverse
effect of moisture on the CO2 injection method is negligible,
as the water–CO2 interaction is much stronger than
the water–CH4 interaction. Hence, the presence of
water could further improve the efficiency of the CO2 injection
method. Generally, in the moist conditions, the CO2 injection
behaves better, while the efficiency of the pressure drawdown is lower.
Figure 13
Evolution
of the CH4 density distributions inside the
2 nm kerogen slit pores during the gas recovery process with varying
moisture contents: (a) 0 g/cm3, dry condition (b) 0.186
g/cm3, and (c) 0.372 g/cm3. The CO2 density distribution during the CO2 injection process
is presented in Figure S10.
Evolution
of the CH4 density distributions inside the
2 nm kerogen slit pores during the gas recovery process with varying
moisture contents: (a) 0 g/cm3, dry condition (b) 0.186
g/cm3, and (c) 0.372 g/cm3. The CO2 density distribution during the CO2 injection process
is presented in Figure S10.
Conclusions
In this
work, the effects of moisture on the adsorption of pure
CH4 and CH4/CO2 binary mixtures in
kerogen slit pores are investigated using GCMC simulations. The shale
gas recovery mechanisms of the pressure drawdown and CO2 injection are studied, and the moisture effects on the shale gas
recovery and CO2 sequestration efficiency are further explored.Our simulation results show that for the sorption of pure CH4 in the moist conditions, water clusters are formed in the
middle of a kerogen slit pore and the clusters occupy the volume in
the slit pore, thereby impeding the pore filling of CH4. Regarding the sorption of CH4/CO2 binary
mixture, the CH4 sorption capacity in the mixture decreases
with increasing moisture content, while the effect of moisture on
CO2 adsorption capacity depends on the mole fraction of
CO2 in the mixture due to the ternary interactions among
CH4, CO2, and H2O. During the shale
gas recovery process, the pressure drawdown and CO2 injection
present different mechanisms. The pressure drawdown releases CH4 molecules in the middle of kerogen slit pores, while CO2 injection can release CH4 molecules in the adsorption
layer. As the water content increases, the recovery ratio of the pressure
drawdown declines, while that of CO2 injection increases,
especially in the first stage of CO2 injection. Finally,
the CO2 sequestration efficiency is higher under moist
conditions.This work provides important insights into the effects
of moisture
content on gas adsorption in kerogen. As the subsurface water in the
shale formations is saline, further work is planned to examine the
effects of saline water on the recovery process. Besides, the recovery
process introduced in this work can be extended to the optimization
of the shale gas recovery process. For example, adjusting the CO2 injection pressure and depletion pressure may lead to optimal
shale gas recovery efficiency or CO2 sequestration efficiency.
The recovery process can also be applied to other displacement processes
in confined systems.
Authors: Eliška Rezlerová; Arnošt Zukal; Jiří Čejka; Flor R Siperstein; John K Brennan; Martin Lísal Journal: Langmuir Date: 2017-07-20 Impact factor: 3.882
Authors: John S Loring; Eugene S Ilton; Jeffrey Chen; Christopher J Thompson; Paul F Martin; Pascale Bénézeth; Kevin M Rosso; Andrew R Felmy; Herbert T Schaef Journal: Langmuir Date: 2014-05-21 Impact factor: 3.882