Juan Zhou1, Qian Mao1, Kai H Luo1,2. 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, People's Republic of China. 2. Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, United Kingdom.
Abstract
The adsorption characteristics of methane in shales play a critical role in the assessment of shale gas resources. The microscopic adsorption mechanism of methane considering the effect of moisture and especially salinity remains to be explored. In this work, combined molecular dynamics and grand canonical Monte Carlo simulations are conducted to investigate the adsorption behaviors of methane in the realistic kerogen matrixes containing different moisture contents (0-6 wt %) and various salinities (0-6 mol/L NaCl). Adsorption processes are simulated under realistic reservoir conditions at four temperatures in the range from 298.15 to 358.15 K and pressures up to 40 MPa. Effects of the moisture content on methane adsorption capacities are analyzed in detail. Simulation results show that the methane adsorption capacity declines as the moisture content increases. In comparison to the dry kerogen matrix, the reduction in the maximum CH4 adsorption capacity is as high as 42.5% in moist kerogen, with a moisture content of 6.0 wt % at 338.15 K. The overlap observed in the density distributions of water molecules and decrease in adsorbed methane indicates that the water molecules occupy the adsorption sites and, thus, lead to the reduction in methane adsorption capacity. Besides, the effects of salinity on CH4 adsorption isotherms are discussed. The salinity is found to have a negative influence on the methane adsorption capacity. The maximum CH4 adsorption capacity reduces around 6.0% under the salinity of 6 mol/L at 338.15 K. Adsorption of methane in kerogens of constant salinity but different moisture contents are further discussed. Results from the present study show that the moisture content has a greater impact on the adsorption of methane compared to that of salinity. The findings of this study have important implications for more accurate estimation of shale gas in place.
The adsorption characteristics of methane in shales play a critical role in the assessment of shale gas resources. The microscopic adsorption mechanism of methane considering the effect of moisture and especially salinity remains to be explored. In this work, combined molecular dynamics and grand canonical Monte Carlo simulations are conducted to investigate the adsorption behaviors of methane in the realistic kerogen matrixes containing different moisture contents (0-6 wt %) and various salinities (0-6 mol/L NaCl). Adsorption processes are simulated under realistic reservoir conditions at four temperatures in the range from 298.15 to 358.15 K and pressures up to 40 MPa. Effects of the moisture content on methane adsorption capacities are analyzed in detail. Simulation results show that the methane adsorption capacity declines as the moisture content increases. In comparison to the dry kerogen matrix, the reduction in the maximum CH4 adsorption capacity is as high as 42.5% in moist kerogen, with a moisture content of 6.0 wt % at 338.15 K. The overlap observed in the density distributions of water molecules and decrease in adsorbed methane indicates that the water molecules occupy the adsorption sites and, thus, lead to the reduction in methane adsorption capacity. Besides, the effects of salinity on CH4 adsorption isotherms are discussed. The salinity is found to have a negative influence on the methane adsorption capacity. The maximum CH4 adsorption capacity reduces around 6.0% under the salinity of 6 mol/L at 338.15 K. Adsorption of methane in kerogens of constant salinity but different moisture contents are further discussed. Results from the present study show that the moisture content has a greater impact on the adsorption of methane compared to that of salinity. The findings of this study have important implications for more accurate estimation of shale gas in place.
Natural
gas, particularly shale gas, is identified as a relatively
clean energy source that helps reduce greenhouse gas emissions. Shale
gas has recently attracted considerable attention because many countries
have proven to have large shale gas deposits, which may offer the
opportunity to reduce their reliance on energy imports.[1,2] In 2017, the U.S. Energy Information Administration (EIA) reported
that the dry natural gas production in the United States was slightly
greater than natural gas consumption, in which shale gas wells served
as the largest source of total natural gas production, providing 57%
of total natural gas production.[3] Thus,
plenty of efforts are being devoted to the storage evaluation[4] and exploitation of the shale gas resources.[2]Shale gas is predominantly methane and
mainly reserved in the shale
formation. Shale is dense, with pores in the range of nanometers and
permeability in the range of nanodarcies. Shale formations consist
of two parts: inorganic and organic. The inorganic minerals are mostly
made of clay, silica, calcites, etc. Kerogen makes up the predominant
component of the organic matter in most shales[5] and is considered as a most favorable place for the occurrence of
shale gas.[6] Generally, there are three
modes of shale gas occurrence in reservoirs, including adsorbed gas,
free gas, and dissolved gas, among which adsorbed gas (up to 85%)
and free gas are the main shale gas modes of occurrence.[7] Understanding the methane storage, especially
the adsorption mechanism in kerogen, is important for the accurate
assessment of the storage potential and the effective design for exploitation
of shale gas.The organic matter in shales is generally considered
to be hydrocarbon-wetting
in shales.[8] However, the existence of water
in kerogen materials is proven in several recent studies.[9−11] Kerogen from the Lower and Middle Cambrian deposits of the Kuonamka
Formation were reported to have moisture contents in the range of
0.6–5%.[9] Kerogen exhibits a mixed-wet
characteristic because the carbon skeleton is hydrophobic, whereas
the oxygen functional groups are hydrophilic. The higher proportion
of hydrophilic to hydrophobic sorption sites increases the moisture
content and, consequently, decreases the adsorption capacity of methane.[10] Several experimental studies have investigated
the relationship between the water content and CH4 adsorption
capacity in shales. It is found that the presence of moisture can
lead to a sharp decline in the methane adsorption capacity based on
the hypothesis that the occupation of moisture in surface sites or
pore throats would reduce the effective pore volume and block the
access of methane to adsorption sites.[4,12−14] Most of the experimental research focuses on adsorption in shale
samples, but the existence of clay minerals in the shale samples would
influence the methane adsorption properties because the presence of
water has more significant effects on clay minerals than organic matter
as a result of their difference in wettability.[15] It is not easy to isolate kerogen from shale samples and
keep the morphology of kerogen intact in experiments.[5] Moreover, there exists a large percentage of nanosized
pores in organic kerogen material, while experimental studies on exploring
pore volumes at the nanoscale and microscopic properties of fluids
remain challenging.Molecular simulations provide insights into
the adsorption phenomena
and properties at the atomic scale and allow for the control of the
microstructure. Besides, simulations are access to high-pressure and
high-temperature conditions that are difficult to achieve in the experiment.
Molecular simulations have been applied widely to the prediction of
thermodynamic properties of adsorbed fluids in microporous media over
the past few decades.[16−23] In these research, the planar graphene slit pore model[16,17,24] and graphite model modified with
functional groups[18−22] are adopted to simplify the nanoporous organic materials in shales.
With the modification of the oxygenated group, the carbonyl (−C=O)
group used here, onto the graphene surfaces, Hu et al.[18] revealed that, for shales of higher O/C ratios,
kerogen may be mixed-wet or even hydrophilic. Liu and Wilcox[22] analyzed adsorption of CH4, CO2, and N2 gas mixtures in functionalized graphitic
slit pores and reported that the surface chemistry influences the
adsorption selectivity of gas mixtures in carbon-based sorbents. Results
of these studies imply that the heterogeneity of kerogen is critical
and should be taken into account and the smooth graphene slit-pore
model may not have the ability to describe the realistic kerogen structures
with complex pore surface roughness and surface-functionalized chemistry.
Therefore, more realistic kerogen models have recently been used to
capture the adsorption properties in shales, which are highly heterogeneous.
Zhao et al.[25,26] examined the influence of the
moisture content on methane adsorption on a type II kerogen model
under pressures up to 20 MPa using grand canonical Monte Carlo (GCMC)
simulations and found that the amount of methane adsorption drops
sharply in the presence of moisture. They also pointed out that the
moisture content has a greater effect on methane adsorption in mature
kerogen than that in immature kerogen. More recently, Huang et al.[27,28] also performed GCMC simulations to study the methane adsorption
in kerogens with the existence of water and reported that the increasing
moisture content results in a decrease of the effective pore volumes
and, thus, leads to the reduction in adsorption capacities. Despite
the important findings gained in these studies, the microscopic mechanism
of the water effect on methane adsorption in kerogen was not thoroughly
understood.Moreover, previous studies were only restricted
to the effects
of water contents on CH4 adsorption, and pure water was
employed as a substitute for underground water in kerogens. However,
produced water generated during shale oil and gas production is highly
saline and possesses a much higher salinity than injection water.[29−31] The salinity of subsurface water commonly increases with depth below
the surface.[29,32] Among the chemical compositions
in the saline water, the dominant anion is generally Cl– and Na+ is the dominant cation in chloride waters.[32] However, very little is known about the effects
of salinity on methane adsorption properties in shales.In this
study, realistic kerogen matrixes are constructed using
molecular dynamics (MD) simulations, with the representative functional
groups incorporated to represent the shale organic pore structure.
On the basis of the kerogen matrixes, GCMC simulations are carried
out to investigate the methane adsorption properties in kerogens of
different moisture contents and salinities at four different temperatures
under pressures up to 40 MPa. To figure out the effects of the water
content on the methane adsorption, the distributions of water and
methane molecules in the kerogen matrix are quantified and visualized.
In terms of salinity effect on methane adsorption, sodium chloride
aqueous solution is chosen to represent the saline water in kerogen
for its ubiquity in shales. The purpose of this work is to gain an
understanding of the effects of moisture and salinity on methane adsorption
in kerogen and further offer some important insights into the accurate
prediction of shale gas storage as well as effective shale gas recovery.
Methodology
Kerogen Model
Among the three types
of kerogen, type II kerogen is commonly deposited in marine environments
and has relatively high H/C and low O/C ratios.[33] Our investigation focuses on the methane adsorption in
type II kerogen, which is particularly frequent in many petroleum
source rocks and oil shales.[34] The kerogen
molecular unit (type II-C) used in this study was proposed by Ungerer
et al.[35] on the basis of experimental data
published by Kelemen et al.[36] The chemical
formula of the type II-C kerogen macromolecule is C242H219O13N5S2, and its molecular
weight is 3469.9 g/mol. The structure of the model unit is illustrated
in Figure .
Figure 1
Molecular model
of type II kerogen. The chemical formula is C242H219O13N5S2.
Atom representation: gray for carbon atoms, white for hydrogen atoms,
red for oxygen atoms, blue for nitrogen atoms, and yellow for sulfur
atoms.
Molecular model
of type II kerogen. The chemical formula is C242H219O13N5S2.
Atom representation: gray for carbon atoms, white for hydrogen atoms,
red for oxygen atoms, blue for nitrogen atoms, and yellow for sulfur
atoms.
Molecular
Models
Details of the molecular
models adopted in the current study are depicted in this section.
Discussions on the molecular structures, the intra- and intermolecular
interactions of the type II kerogen matrix, methane, water, helium,
and sodium chloride are included.
Kerogen
Matrix Generation
A series
of MD simulations were performed in the canonical ensemble (NVT) and isobaric isothermal ensemble (NPT) to generate the condensed kerogen matrix. For the kerogen model,
the Dreiding force field,[37] which is proven
to show good performance in predicting structures and dynamics of
organic molecules,[38] was employed. Before
the construction of the condensed kerogen matrix, the initial structure
of the kerogen molecular unit was relaxed individually. Then, eight
relaxed kerogen units were randomly placed in a cubic simulation box
with dimensions of 10 × 10 × 10 nm3, in which
the initial density of kerogen is approximately 0.05 g/cm3. According to the relaxation procedures applied in the previous
studies,[25,35,39] the initial
configuration should be relaxed in successive MD simulations from
high temperatures to typical reservoir conditions. Therefore, MD simulations
were conducted in the NVT ensemble at 1000 K, and
after that, the system was relaxed step by step in the NPT ensemble at 200 atm through a stepwise decreasing temperature (900,
700, 500, and 300 K). Each run duration was set as 200 ps to make
sure that the kerogen density converged to the equilibrium value.
At last, a MD simulation in the NPT ensemble at 338
K and 200 atm was performed for 1 ns to obtain a stable kerogen structure.
The final configuration of the kerogen matrix is presented in Figure . The microstructure
of this kerogen matrix is highly heterogeneous and sufficient to represent
complex realistic kerogen. The kerogen matrix under a wide range of
moisture contents from 0.5 to 6.0 wt % as well as the kerogen matrix
filled with saline water were also created to study the effects of
the moisture content and salinity on the methane adsorption. A higher
NaCl salinity (2.5–6 mol/L) than typical subsurface water was
contained in our systems to reduce statistical bias and obtain reliable
simulation results. During the simulations of methane adsorption,
the kerogen matrix was held rigid but the water molecules and Na+ and Cl– ions were allowed to move.
Figure 2
Configuration
of the type II kerogen matrix. Atom representation:
gray for carbon atoms, white for hydrogen atoms, red for oxygen atoms,
blue for nitrogen atoms, and yellow for sulfur atoms. Pore surfaces
are colored in blue.
Configuration
of the type II kerogen matrix. Atom representation:
gray for carbon atoms, white for hydrogen atoms, red for oxygen atoms,
blue for nitrogen atoms, and yellow for sulfur atoms. Pore surfaces
are colored in blue.
Other Molecules
The methane molecule
was modeled using transferable potentials for phase equilibria (TraPPE)
force field parameters[40] with the united-atom
representation with the effect of hydrogens included in the central
carbon atom. For water molecules, the simple-point charge extended
model (SPC/E)[41] was chosen, in which the
bond length of the O–H bond is 1 Å and the degree of the
H–O–H angle is 109.47°. In the simulations, the
SHAKE algorithm was adopted to fix the bond and angle. The CLAYFF
force field[42] was applied to describe the
properties of NaCl. Besides, to calculate the void volume of the kerogen
matrix, helium was used as a probe molecule. A single-site model[43] was employed to describe the helium molecules.
The force field parameters of CH4, H2O, He,
and NaCl are summarized in Table S1 of
the Supporting Information. Lorentz–Bertherlot mixing rules[44] were employed to calculate interactions between
unlike atoms. The density of bulk methane, water, and helium as a
function of the temperature and pressure were also calculated to validate
the force field as well as the accuracy of the GCMC calculation. As
presented in Figure , the results match fairly well with the National Institute of Standards
and Technology (NIST) database.[45] Further
verification using the radial distribution function (RDF) is shown
in Figure S1 of the Supporting Information.
Figure 3
Validation
for the pressure–density relationship for the
TraPPE methane model,[40] SPC/E H2O model,[46] and helium model.[47]
Validation
for the pressure–density relationship for the
TraPPE methane model,[40] SPC/E H2O model,[46] and helium model.[47]
Simulation Details
In this part,
methodologies of the MD simulation to produce molecular structures
and the GCMC simulation to investigate the methane adsorption properties
are illustrated in detail. All simulations were performed using the
large-scale atomic/molecular massively parallel simulator (LAMMPS)
package.[48]In the MD simulations,
a time step of 1 fs was chosen in both NVT and NPT ensembles. The temperature and pressure were regulated
using a Nosé–Hoover thermostat[49] and Nosé–Hoover barostat,[50] respectively, both with a damping constant of 100 fs. The velocity
Verlet integrator was adopted to update velocities and positions of
atoms through solving Newton’s equation of motion. Periodic
boundary conditions were employed in all three directions. Lennard–Jones
interactions were calculated with a cutoff distance of 12 Å,
and analytical tail corrections were applied.[51] A particle–particle and particle–mesh (PPPM) solver
with a precision of 1 × 10–4 was adopted for
the calculation of long-range electrostatic interactions.For
the GCMC simulations, the position of the kerogen matrix was
fixed, while methane molecules were translated and inserted/deleted
with a probability of 0.5, 0.25, and 0.25, respectively. In each GCMC
cycle, 1000 GCMC exchanges (insertions and deletions were attempted
with equal probability) and 1000 GCMC moves (only translations were
attempted as a result of the united atom model for methane) were achieved.An estimate of the effective pore volume of the kerogen matrix
was given using helium adsorption.[52] Helium
is assumed to be a non-adsorbing gas because the adsorption of helium
in microporous media could be negligible at temperatures close to
room temperature.[53] The pore volume was
determined on the basis of the number of helium molecules filled in
the kerogen poreswhere ⟨NHe⟩
is the ensemble-averaged number of helium molecules filled
in kerogen nanopores and ρHe,bulk is the number density
of bulk helium at given temperatures and pressures. In this work,
tests to calculate the pore volume were performed up to a pressure
of 30 MPa to check its constancy with pressure. The effective pore
volume of the kerogen matrix is 8.18 ± 0.02 nm3 based
on the average over several pressures. Additional details of the adsorption
of helium and the calculation of pore volume were given in Figures S2 and S3 of
the Supporting Information.
Results
and Discussion
In section , physical properties of the kerogen structure constructed
by MD
simulations are validated and presented. Methane adsorption isotherms
in dry kerogens under a large range of pressures and four temperatures
are analyzed in section . The methane adsorption properties and microscopic distribution
of water molecules in moisture-equilibrated kerogens are discussed
in section . Finally, section focuses on
the effects of salinity on the methane adsorption capacity.
Kerogen Model Validation
To evaluate
the reasonability of our kerogen model, further comparisons are made
from physical density to methane adsorption isotherms between simulated
results of our kerogen model and experimental data. The density of
the kerogen matrix is 1.22 g/cm3, which is within the range
of the experimental value of mature shales (1.18–1.35 g/cm3).[54] Besides, methane adsorption
isotherms are calculated and compared to published experimental data.[14,55] In experiments, the adsorption properties obtained by the conventional
sorption measurement are evaluated by excess adsorption capacities.
To make comparisons to experimental results, we convert the total
adsorption capacities obtained in GCMC simulations to excess adsorption
capacity through subtracting the amount of free gas in the effective
pore volume Vp from ntot(52)where nexc denotes
the excess adsorption capacity, ntot refers
to the total adsorption capacity, ρbulk is the bulk
density of adsorbate, and Vp is from helium
adsorption, as described in section . Comparisons of excess adsorption isotherms
at 338 K between our simulation results and experimental data[14,55] are plotted in Figure . The experimental data for methane adsorption are based on kerogen
samples from Posidonia shales,[56] Woodford
shale,[12] Sichuan Basin,[57] and shale samples from Geverik shale,[55] Barnett shale, and Carboniferous shale.[14] As shown in Figure , similar trends for excess adsorption isotherms can be observed
from the simulated and experimental results, in which the excess adsorption
capacity rises at the beginning and reaches a peak at about 5 MPa.
Afterward, it drops with increasing pressure. In the experimental
data of Posidonia and Woodford kerogens, the pressure range is not
large enough for the isotherms to reach the excess maximum; therefore,
the decrease in excess adsorption isotherms cannot be observed. The
difference in adsorption values may be attributed to the diversity
in thermal maturity, porosity, and shale composition because the presence
of inorganic materials in shale samples, such as clays, silica, and
carbonates, could decrease the adsorption amount of methane in experiments.
Above all, the kerogen model is proven to have the ability to represent
realistic kerogen and can be used to investigate methane adsorption
behaviors.
Figure 4
Comparison of methane excess adsorption isotherms at 338 K between
results of simulations and experiments.
Comparison of methane excess adsorption isotherms at 338 K between
results of simulations and experiments.
Methane Adsorption on Dry Kerogen
Total Adsorption
Figure displays the total adsorption
isotherms of methane in the dry kerogen matrix at different temperatures
ranging from 298.15 to 358.15 K under pressures up to 40 MPa. The
total adsorption capacity refers to the total amount of gas confined
in the pore structure, including both adsorbed and bulk gas phases,
per gram of adsorbent. As shown in Figure , the total adsorption isotherms of methane
are observed to fit the shape of the Langmuir isotherm.[58] Therefore, we parametrize the total adsorption
data of methane using the Langmuir model,[59] which is commonly used and widely accepted in the petroleum industry[60]where n(T) denotes the adsorption capacity at
temperature T and pressure p, pL(T) is the Langmuir pressure,
corresponding to the pressure
at which half of the sorption sites are occupied, and nL denotes the maximum Langmuir capacity. The adsorption
quantity is normalized by the mass of the adsorbent. Table summarizes the results of the
Langmuir equation fitting using the least squares method. The Langmuir
adsorption model is observed to have good performance in predicting
methane adsorption isotherms. The total adsorption capacity increases
as the pressure increases and tends to reach equilibrium under a relatively
high pressure. The total adsorption capacity decreases with the increase
of the temperature as a result of the exothermic nature of the adsorption
process. At higher temperatures, the methane molecules also have higher
energy to escape from the adsorption layer.
Figure 5
CH4 adsorption
isotherms at four different temperatures.
Points are results of simulation, and lines are results of Langmuir
fitting.
Table 1
Langmuir Fitting
Results of Methane
Adsorption in Dry Kerogens
T (K)
298.15
323.15
338.15
358.15
PL (MPa)
1.40
2.21
2.72
3.53
nL (mmol/g)
3.24
3.13
3.07
2.98
R2
0.987
0.988
0.991
0.992
CH4 adsorption
isotherms at four different temperatures.
Points are results of simulation, and lines are results of Langmuir
fitting.
Excess Adsorption
Figure presents
the CH4 excess adsorption capacities calculated using eq . From the excess adsorption
isotherms, the
excess adsorption isotherms at different temperatures follow the same
trend as the excess adsorption amount increases with the rising pressure
and there appears a maximum in the excess adsorption isotherm at around
5 MPa, and after that, the excess adsorption amount decreases because
the bulk density rises faster than the adsorbed density. Besides,
an increase in the temperature results in the change in the shape
of adsorption isotherms. The maximum in excess adsorption is higher
at low temperatures compared to that at high temperatures and shifts
to a higher pressure with the increasing temperature. This is in accordance
with recent studies on kerogen in both experiments[12] and simulations.[25] In this work,
we extend the pressure range to 40 MPa, and it is found that, as the
pressure increases further, the excess adsorption capacity becomes
larger at the higher temperature and the lowest value is observed
at the lowest temperature, which is 298.15 K in the current study.
This is because the methane bulk density at 298.15 K rises relatively
faster with increasing pressure.
Figure 6
CH4 adsorption isotherms in
dry kerogen at four temperatures.
CH4 adsorption isotherms in
dry kerogen at four temperatures.
Thermodynamic Properties
The isosteric
heat of adsorption q and the standard entropy of
adsorption Δs0 are two critical
thermodynamic parameters for characterization and optimization of
an adsorption process. The two thermodynamic parameters can be derived
from eq using the adsorption
isotherms at different temperatures[12,61]where q denotes
the isosteric
heat of adsorption, Δs0 denotes
the standard entropy of adsorption, pL denotes the Langmuir pressure, and R is the gas
constant. On the basis of the isotherms, a linear correlation can
be clearly seen in Figure between the natural logarithm of the Langmuir pressure pL and the reciprocal of the temperature (1/T), and the corresponding correlation coefficient is R2 = 0.998. Then, the isosteric heat of adsorption
and standard entropy are determined by the slope and intercept, respectively.
The isosteric heat of adsorption and the standard entropy of adsorption
are calculated to be 13.7 kJ mol–1 and −48.7
kJ mol–1 K–1, respectively. The
value of isosteric heat of adsorption is within the range of the previously
reported experimental quantities for kerogen (10.3–21.9 kJ
mol–1).[12,56] Besides, the simulated
standard entropy of adsorption also shows good consistency with the
values published by Zou et al.[62] from −42
to 74.7 kJ mol–1 K–1.
Figure 7
Plot of ln pL against 1/T for methane adsorption
in dry kerogen.
Plot of ln pL against 1/T for methane adsorption
in dry kerogen.
Effects
of Moisture on Methane Adsorption
Adsorption of methane in
kerogens of different moisture contents
in the range of 0–6 wt % at 338.15 K and up to 40 MPa is studied
by GCMC simulations, and the isotherms of total adsorption are presented
in Figure . It is
obvious that the higher moisture content corresponds to the decreased
adsorption capacity of methane, which is consistent with the results
reported in previous studies.[13,25,28] The Langmuir adsorption model (eq ) provides a very good representation of the total
adsorption isotherm. The fitting Langmuir parameters are listed in Table . The maximum Langmuir
capacity ranges from 1.76 to 3.07 mmol/g, and a 42.5% reduction is
found in the maximum adsorption capacity of methane after moisture
equilibration of 6.0 wt %. The excess adsorption isotherms of different
moisture contents are plotted in Figure S4 of the Supporting Information. Like in the dry conditions, the excess
adsorption capacities pass through a maximum and then decrease as
the pressure further increases. The methane excess adsorption decreases
with increasing moisture contents. When the moisture content is over
3 wt %, the excess adsorption isotherms become negative under high
pressures. This is because the adsorbed density of methane in moist
kerogen of high moisture content is less than the methane bulk density.
To further quantify the effects of moisture contents on methane adsorption,
the maximum Langmuir capacity of different moisture contents and reduction
of the adsorption capacity compared to dry kerogen in the function
of moisture contents are depicted in Figure . The methane maximum Langmuir capacity decreases
linearly with increasing moisture contents, with a correlation coefficient
of R2 > 0.996. The reduction in adsorption
capacity for moisture-equilibrated kerogens also increases as the
moisture content increases, which results from the adsorption of water
in the kerogen nanopores. To verify this argument, density distribution
of water molecules in moisture-equilibrated kerogen at 3 wt % moisture
content and the decrease in methane density distribution compared
to dry kerogen are illustrated in Figure , where distances are measured along the X direction and the position X = 0 corresponds
to the center of the kerogen matrix. The temperature and pressure
are 338.15 K and 40 MPa, respectively. A significant overlap can be
observed between the distribution of water molecules and distribution
of the decreased density of methane adsorbed in the kerogen matrix,
which demonstrates that the water molecules occupy the adsorption
sites in the kerogen matrix and block the access of methane to the
nanopores, which results in the decrease in the methane adsorption
capacity in kerogens. In some regions, a very small increase in the
methane adsorption density can be observed in the moisture-equilibrated
conditions, but the corresponding water density is close to zero.
The difference in methane number density can be attributed to the
fluctuation of methane molecules from 0 to 1 during simulations.
Figure 8
CH4 adsorption isotherms under different moisture contents
at 338.15 K. Points are results of simulation, and lines are results
of Langmuir fitting.
Table 2
Langmuir Constants of Methane Adsorption
on Moisture-Equilibrated Kerogens at 338.15 K
moisture content (wt %)
nL (mmol/g)
PL (MPa)
R2
0
3.07
2.72
0.991
0.5
2.99
2.79
0.992
1
2.83
3.03
0.992
1.5
2.76
2.83
0.991
2
2.57
2.94
0.991
2.5
2.54
3.00
0.990
3
2.43
3.07
0.991
3.5
2.31
2.92
0.990
4
2.18
3.05
0.990
5
1.97
3.20
0.981
6
1.76
2.85
0.984
Figure 9
Langmuir maximum adsorption capacity of different
moisture contents
(black) and reduction in adsorption capacity as a function of moisture
contents (blue) at 338.15 K.
Figure 10
Density distribution of water molecules in 3 wt % moisture-equilibrated
kerogen (blue) and decrease in methane adsorption density distribution
(red) at 338.15 K, with p = 40 MPa.
CH4 adsorption isotherms under different moisture contents
at 338.15 K. Points are results of simulation, and lines are results
of Langmuir fitting.Langmuir maximum adsorption capacity of different
moisture contents
(black) and reduction in adsorption capacity as a function of moisture
contents (blue) at 338.15 K.Density distribution of water molecules in 3 wt % moisture-equilibrated
kerogen (blue) and decrease in methane adsorption density distribution
(red) at 338.15 K, with p = 40 MPa.
Effects of Salinity on
Methane Adsorption
As mentioned in the Introduction, previous
studies[29−32] suggest that the composition of underground water contains not only
water but also a certain amount of salts. In this section, we quantitatively
analyze the effects of salinity on methane adsorption in kerogens,
in which the NaCl aqueous solution is chosen for its abundance in
underground water. Total adsorption isotherms of methane in moisture-equilibrated
kerogens of several salinities up to 6 mol/L are plotted in Figure , where the moisture
content in kerogen is 3 wt %. The adsorption isotherms are fitted
using the least squares method based on the Langmuir equation. As
shown in Figure , in comparison to the total adsorption capacity in moist kerogen
filled with pure water, namely, 0 mol/L, the CH4 adsorption
capacity is further reduced with the presence of salinity. The relationship
between the maximum CH4 Langmuir adsorption capacity and
salinity is presented in Figure . With increasing salinity, the maximum CH4 Langmuir adsorption capacity declines slowly at first and then the
decrease rate increases rapidly and finally comes to a relatively
stable stage. The corresponding adsorption capacity reduction curve
is also shown in Figure . The adsorption capacities reduce about 1.6, 3.4, 5.7, and
6.0% under the salinities of 2.5, 3.5, 5, and 6 mol/L, respectively.
This indicates that a higher salinity results in a larger decline
in the adsorption capacity. This can be explained by the decreasing
solubility of methane in saline water. Previous literature had reported
that methane has a very low solubility in water and the addition of
NaCl to water further decreases the CH4 solubility.[63−65] As a result, careful consideration should be taken to the effects
of salinity as well as the moisture contents in kerogens to guarantee
the accuracy when evaluating the shale gas in place.
Figure 11
CH4 adsorption
isotherms of different salinities with
the moisture content of 3 wt % at 338.15 K. Points are results of
simulation, and lines are results of Langmuir fitting.
Figure 12
Langmuir maximum adsorption capacity of different salinities
with
the moisture content of 3 wt % (black) and reduction in adsorption
capacity as a function of salinities (blue). The temperature is 338.15
K.
CH4 adsorption
isotherms of different salinities with
the moisture content of 3 wt % at 338.15 K. Points are results of
simulation, and lines are results of Langmuir fitting.Langmuir maximum adsorption capacity of different salinities
with
the moisture content of 3 wt % (black) and reduction in adsorption
capacity as a function of salinities (blue). The temperature is 338.15
K.To better understand the effects
of moisture and salinity, the
adsorption of methane in kerogens by varying moisture contents at
the same salinity is also investigated. The adsorption isotherms of
3 and 6 wt % with and without salinity are chosen as a typical case
and presented in Figure . The Langmuir equation is used to parametrize the methane
adsorption isotherms. Results of other moisture contents can be found
in Figure S7 of the Supporting Information.
Reductions of 6 and 12% are measured for moisture contents of 3 and
6 wt %, respectively. Summarization of the maximum CH4 adsorption
capacities of different moisture contents at a salinity of 5 mol/L
and full comparison to that of zero salinity are shown in Figure . Under the salinity
of 5 mol/L, the total adsorption capacities of CH4 are
2.29, 1.98, 1.78, and 1.55 mmol/g in 3.0, 4.0, 5.0, and 6.0 wt % moisture-equilibrated
kerogens, respectively. With the same salinity, the reduction in adsorption
capacity increases as the moisture content increases. An approximately
linear trend can be observed (R2 >
0.97).
The reduction caused by different moisture contents is much larger
than that of the different salinities. It can be concluded that the
moisture content has a larger influence on methane adsorption capacity
in kerogens compared to salinity.
Figure 13
CH4 adsorption isotherms of
different moisture contents
and salinities at 338.15 K. Points are results of simulation, and
lines are results of Langmuir fitting. The reduction in adsorption
capacity from the pure water- to the saline water-equilibrated kerogens
is shown, too.
Figure 14
Langmuir maximum adsorption
capacity of different moisture contents
with the salinity of 5 mol/L (black) and reduction in adsorption capacity
as a function of moisture contents (blue). The temperature is 338.15
K.
CH4 adsorption isotherms of
different moisture contents
and salinities at 338.15 K. Points are results of simulation, and
lines are results of Langmuir fitting. The reduction in adsorption
capacity from the pure water- to the saline water-equilibrated kerogens
is shown, too.Langmuir maximum adsorption
capacity of different moisture contents
with the salinity of 5 mol/L (black) and reduction in adsorption capacity
as a function of moisture contents (blue). The temperature is 338.15
K.
Conclusion
In the present work, realistic kerogen matrixes at various moisture
contents (0–6.0 wt %) and different salinities (0–6
M NaCl) are generated using a combination of MD and GCMC simulations.
We investigate the adsorption properties of methane in both dry and
moisture-equilibrated kerogens. Effects of moisture and salinity on
methane adsorption are discussed in detail. Simulations are carried
out under a larger range of pressures (up to 40 MPa) than attempted
in previous studies.[25−28] Both pressures and temperatures are set to realize typical reservoir
conditions. The main conclusions drawn from our study are as follows:
(1) The adsorption of methane in dry kerogens indicates that, under
relatively low pressures, the CH4 excess adsorption capacity
decreases with the increase of the temperature as reported in previous
studies.[25,26] When the pressure rises above 25 MPa, the
excess adsorption capacity of methane is observed to be larger at
the higher temperature, which can be explained by the competition
between the methane bulk density and adsorbed density. Under relatively
high pressures, the bulk density of methane at lower temperatures
rises relatively faster than the adsorbed density with increasing
pressure. (2) Adsorption of methane in kerogen matrixes is greatly
reduced by the presence of water. A reduction of 42.5% is observed
in CH4 maximum adsorption capacity of kerogen matrixes
at 6.0 wt % moisture content. Besides, results suggest a linear relationship
between the reduction in the methane adsorption capacity and the moisture
content. The areas of water molecules are observed to coincide with
the areas of decrease in methane adsorption, which demonstrates that
water molecules occupy the adsorption sites in the kerogen matrix
and lead to the decline in CH4 adsorption capacity in kerogens.
(3) Effects of salinity are also investigated. The NaCl aqueous solution
is chosen to represent the subsurface water. Our results show that
the presence of Na+ and Cl– further decrease
the methane adsorption capacity, which is attributed to the reduced
solubility of methane in water. The higher salinity in the kerogen
matrix leads to a larger reduction in CH4 adsorption capacity.
Effects of salinity cannot be ignored when assessing shale gas potential
of reservoirs, although it seems to have a less significant effect
on methane adsorption compared to that of the moisture content in
the kerogen matrix.
Authors: Namita Shrestha; Govinda Chilkoor; Joseph Wilder; Venkataramana Gadhamshetty; James J Stone Journal: Water Res Date: 2016-11-04 Impact factor: 11.236