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. 2022 Nov 15;7(47):42774–42782. doi: 10.1021/acsomega.2c04488

Dynamic Dissociation Behaviors of sII Hydrates in Liquid Water by Heating: A Molecular Dynamics Simulation Approach

Peihan Yang , Dongdong Guo , Bin Fang †,§,*
PMCID: PMC9713880  PMID: 36467936

Abstract

graphic file with name ao2c04488_0009.jpg

An understanding of the dynamic behavior of subtle hydrate dissociation in the liquid water phase is fundamental for gas production from marine hydrate reservoirs. Molecular dynamics simulations are performed in this study to investigate the dissociation kinetics of pure propane and binary propane + methane sII hydrates in a liquid water environment. The results show that faster hydrate dissociation rates are observed at higher initial temperatures. The hydrate phase dissociates from the cluster surface to the inside in a layer-by-layer manner under the simulation temperature conditions, which is similar to the behavior of sI hydrates and is independent of the hydrate crystal type. Compared to the binary sII hydrate, the pure sII hydrate dissociates more easily under the same initial temperature conditions, which can be attributed to the stabilizing effect of guest molecules in the hydrate cages. The empty cages collapse in one step, in contrast to the two-step pathway induced by the guest–host interaction. In addition, a hydrocarbon phase forms in the binary hydrate dissociation system instead of nanobubbles. These results can provide molecular-level insights into the dynamic mechanism of hydrate dissociation and theoretical guidance for gas recovery by thermal injection from marine hydrate reservoirs.

1. Introduction

Natural gas hydrates (NGHs) are ice-like crystals in which guest molecules (such as CH4 and C3H8) are trapped within cage networks formed by hydrogen-bonded host water molecules at low temperatures and high pressures.1 In nature, most NGHs occur in permafrost regions and marine sediments, and more than 90% of global NGHs are located in the latter environment.2 Three typical hydrate crystal structures have been identified (cubic sI, cubic sII, and hexagonal sH).3 Given their abundance (NGHs have been identified as containing twice the energy stored in all other fossil fuel deposits),2,4 NGHs can serve as potential unconventional energy sources in the future to compensate for the globally increasing demand for energy with increasing consumption. To date, depressurization and thermal stimulation have been proposed and verified as two efficient techniques for gas extraction from marine deposits.1 However, gas production from hydrate resources involves geochemistry, geology, engineering thermophysics, and so forth. This results in significant challenges to accelerating the process of industrial production. Thus, knowledge of the kinetics of hydrate dissociation under various gas production conditions is the foundation for developing safe and efficient approaches for gas recovery from NGH reservoirs.

As early as the mid-1980s, dissociation experiments performed by Kim et al. showed that the dissociation rate of hydrates in the liquid phase was proportional to the hydrate surface area and the difference in the fugacity of methane under equilibrium pressure and dissociation pressure. In addition, a kinetic function was established to describe the hydrate dissociation process.5 Subsequently, additional research studies have focused on hydrate dissociation behaviors via experimental and numerical simulation methods, and considerable achievements have been reported in understanding the hydrate phase-change process in different fields.613 Limited by the spatial and temporal resolutions of the analysis methods, the mechanism of hydrate dissociation at the microscopic level remains to be determined. Molecular dynamics (MD) simulations, which are complementary to experimental observations, can intuitively show the static structure and dynamic behavior of molecules, discover new phenomena, clarify the essential mechanisms of dynamic processes, and provide new insights into the formation1422 and dissociation2328 behavior of hydrates. In MD simulations, the gas and water molecule separation process is described as a two-step pathway during the hydrate dissociation process:2325 the hydrate cage formed by the H-bonded water network increases owing to the enhanced host diffusive behaviors, ultimately distorting and breaching the lattices, followed by the escape and diffusion of methane from the incomplete cages. The surface of the hydrate clusters shows a series of rapid decay and transition states, and the hydrates dissociate in a layer-by-layer manner.2328 On this basis, several studies have investigated the effects of temperature,29,30 pressure,26 salts,31 static electrical fields,32 and so forth on the dissociation process in the liquid phase using MD simulations. Recently, increasing attention has been paid to the hydrate dissociation process within a confined phase using a multi-phase initial system in MD simulations.3335 The results have shown that this dynamic behavior is quite different from that in the pure liquid phase, especially for the mass transfer of methane molecules.

However, most previous studies have focused on the dissociation process of sI hydrates (methane hydrate),2328,3639 while less attention has been paid to sII and sH hydrates.4042 Although methane hydrate with an sI structure is the dominant structure in nature, sII and sH hydrates have been observed in several permafrost regions and marine sediments, such as the Gulf of Mexico, Cascadia Margin, and South China Sea.4345 In particular, in the Gulf of Mexico, sII hydrates account for more than 80% of the water in the near-seafloor core materials, as measured by carbon-13 nuclear magnetic resonance and powder X-ray diffraction (XRD) methods. In addition to permafrost regions and deep oceans, sII hydrates have been identified in gas/oil pipelines,46 leading to extensive risk management in offshore operations. Therefore, understanding the behavior and evolution of sII hydrates is necessary and important not only for gas production from hydrate resources but also for flow assurance.

The unit cell of the sII hydrate structure is denoted as 16MS8ML136H2O, consisting of 8 large hexakaidecahedron cages (51264) and 16 small pentagonal dodecahedron cages (512).47 Compared to the unit cell of the sI hydrate, the number of cages is greater in the sII hydrate unit cell and the volume for the large cages is increased, which indicates that larger guest molecules can be captured in sII hydrates. In reality, propane (C3H8) hydrates are one of the typical hydrates with sII crystalline structures, with C3H8 molecules are located only in the large cages owing to the size of the guest molecule. Additionally, the small cages of sII hydrates are often occupied by methane molecules with a relatively small size. These small molecules, which are called secondary “help-gases”, serve to stabilize the crystal structure.4850 Therefore, both pure (C3H8) and binary (C3H8 + CH4) hydrates in an sII structure are investigated, and the effects of host–host, guest–host, and guest–guest coupling interactions on the dissociation process of hydrates are also analyzed in this study.

2. Simulation Method

2.1. Initial Configuration

Based on previous studies of the dissociation behaviors of hydrates in sII structures in the liquid phase during heating, we established two initial multi-phase dissociation systems: the hydrate cluster and the liquid phase, as shown in Figure 1, in which the left moiety is the hydrate phase and the right is the pure liquid phase. These phases differ in that one is the pure C3H8 hydrate and the other is the C3H8 + CH4 binary hydrate. Hydrates with sII structures were selected for investigation, and the construction of single-crystal cells can be divided into three processes.51 (1) The positions of the oxygen atoms in the water molecule of the hydrate were determined by XRD. (2) By adjusting the orientation of hydrogen atoms in the water molecule to obey the Bernal–Fowler rule, the optimized configuration with the lowest potential energy and dipole moment of the unit cell was selected to determine the structure of the main water molecule. (3) The guest molecules were filled into the cages formed by the hydrogen-bonded network of water molecules. If only C3H8 molecules occupy the 51264 large cages, which is called propane hydrate, the chemical formula is 8C3H8·136H2O; when propane occupies the 51264 large cages and methane occupies the 512 small cages, which is called propane–methane binary hydrate, the chemical formula is 8C3H8·16CH4·136H2O. Both hydrate lattice parameters are 1.731 nm (1 nm = 10 Å), and the space group is Fd3m.52 The supercell of the hydrate phase in the initial system consists of 4 × 2 × 2 sII hydrate unit cells along the xyz directions, and the liquid phase consists of 2704 water molecules with a total system size of 13.848 × 3.462 × 3.462 nm. For the analysis, we divided the hydrate cluster into six equal layers (layers L1–L6) along the x-axis, as shown in Figure 1.

Figure 1.

Figure 1

Initial configurations for the hydrate dissociation simulations, with pure propane hydrate shown in the top image and propane–methane binary hydrate shown in the bottom image. The hydrate clusters are divided into six parts along the x-axis, named L1–L6.

2.2. Simulation Details

To obtain a more reasonable initial configuration, we utilized a conjugate gradient algorithm to minimize the energy of the system.53 Then, short 200 ps NVT and NPT simulations were performed to equilibrate the temperature and pressure of the systems. The equilibrium temperatures were 292, 302, 312, and 322 K, and the equilibrium pressure was 3 MPa. Temperature coupling was implemented using velocity rescaling with a stochastic term,54 and pressure control was realized using Parrinello–Rahman extended-ensemble pressure coupling.55 A leap-frog algorithm was selected to integrate Newton’s equation of motion with a 1 fs time step.56 The thermostat constant was 0.1 ps, and the barostat constant was 1.0 ps. The final equilibrium configuration was selected as the initial configuration for the subsequent MD simulations, and the adiabatic NVE ensemble was used to investigate the hydrate dissociation process in the liquid phase. In the production simulations, the leap-frog algorithm was used for integrating Newton’s equation of motion without pressure and temperature coupling.

The optimized potentials for liquid simulation all-atom (OPLS-AA) force field was used for the guest molecules (methane and propane);57 the three-force point rigid SPC/E model was selected to describe the water molecules.58 The particle grid Ewald method was used to calculate the long-range Coulomb interaction.59 The van der Waals interactions were described using the Lennard–Jones potential with a cut-off distance of 1.2 nm, and periodic boundary conditions (PBCs) were applied for all simulations. To improve the accuracy, all the MD simulations were performed using the double-precision Gromacs software package (version 2018).60,61

2.3. Data Analysis

During the MD simulations, both the hydrate and liquid phases contain water and methane molecules. To distinguish the water molecules in the two phases, we used the F3 order parameters proposed by Báez and Clancy to characterize the state of the water molecules.23,62 In the solid phase, water molecules are arranged and oriented in a specific state, the nearest-neighbor water oxygen atoms of one water molecule can form a regular tetrahedron structure under ideal conditions, and the water oxygen atoms are located in the center of the regular tetrahedron structure. In contrast, in the liquid phase, the orientation of water molecules is random. Based on the F3 order parameter, water molecules can be distinguished by the deviation of the state of the water oxygen atoms in the simulation system from the ideal standard tetrahedral structure.

2.3. 1

where θjik is the angle between water oxygen atom i and two adjacent water oxygen atoms. Water oxygen atoms j and k are located in the first water shell of the center oxygen atom (3.5 Å). When the average F3 value approaches 0.1, the water molecules are close to the liquid state, and when the average F3 order parameter is equal to zero, the water molecules are in the solid state, including ice and hydrates.

3. Results and Discussion

3.1. Effects of the Initial Temperature on sII Hydrate Dissociation in the Liquid Phase

Hydrate dissociation is the phase change process from a solid to a liquid phase. With hydrate dissociation, the arrangement of host water molecules gradually changes from a space lattice to a random disordered state, and guest molecules are released into the liquid phase. The rearrangement of the spatial structure leads to an increase in the potential energy of the system, as shown in Figure 2a. Because an adiabatic ensemble (NVE) is used, there is no mass or heat transfer between the simulation system and the outside environment. Therefore, the increase in potential energy must be supplied by the kinetic energy of the system during hydrate dissociation, resulting in a decrease in the system temperature, as shown in Figure 2b.

Figure 2.

Figure 2

Time variation of the potential energy (a) and temperature (b) of the binary hydrate system at initial temperatures of 292, 302, 312, and 322 K.

Although the system temperatures gradually decrease with different initial temperatures, the degree of reduction varies. A maximum temperature drop of approximately 25 K is obtained for the simulation with an initial temperature of 322 K. For the simulation with an initial temperature of 292 K, the variations in the potential energy and temperature of the system are very different: the temperature of the system decreases within the first 10 ns, and the system temperature becomes constant with a fluctuating equilibrium state. This result indicates that the hydrate dissociation behavior can be stopped under a low initial temperature condition, which is also consistent with the actual mining process.

In Figure 3, final snapshots of the MD simulations under four different initial temperature conditions are shown. The results indicate that the hydrate dissociation rate is sensitive to the initial temperature of the system: at an initial temperature of 322 K, the hydrate completely dissociates during the MD simulation time; in contrast, residual hydrate clusters remain in the liquid after 50 ns MD simulations with the other initial system conditions. Overall, the higher the initial temperature is, the less residual hydrate there will be. The system temperature can be decreased during the hydrate dissociation process, and the dissociation behavior can be stopped when the temperature decreases below the phase equilibrium temperature. The hydrate clusters hardly dissociate at an initial temperature of 292 K. Therefore, in the practice of gas extraction from hydrate reservoirs, the temperature decrease caused by the endothermic hydrate dissociation process cannot be ignored. Depressurization is the most effective method for extracting natural gas from hydrates. When the heat consumption in the hydrate dissociation process cannot be replenished by the latent heat of sediments, the hydrate dissociation rate slows, and the pressure–temperature conditions return to the region of hydrate phase equilibrium, leading to the cessation of the dissociation behavior and hydrate secondary formation. Therefore, a sufficient heat supply is necessary to maintain hydrate dissociation at a constant rate with high efficiency. In addition, we believe that using the NVE ensemble provides the closest approximation of the actual situation for studying the dissociation behavior of hydrates, and the results of our simulations with the NVE ensemble are reasonable.

Figure 3.

Figure 3

Final snapshots after 50 ns MD simulations at different initial temperatures; residual hydrate clusters and gas clusters are presented.

3.2. Kinetics of sII Hydrate Dissociation in the Liquid Phase

Using the initial configuration and parameter settings described in the previous section and taking the dissociation process of C3H8 + CH4 binary hydrate at an initial temperature of 322 K as an example, Figure 4 shows six xy time-lapse snapshots of the hydrate dissociation at different simulation times. Because the temperature of the system is higher than the hydrate phase equilibrium temperature, hydrate phase transition occurs. The blue bidirectional arrows indicate the residual hydrate; in general, over time, the hydrate cluster dissociates in a layer-by-layer manner (due to the PBCs, the hydrate decomposes from both the left and right sides toward the central region of the hydrate simultaneously). Dissociation preferentially occurs on the hydrate cluster surface until the dissociation behavior is completed, and the hydrate phase dissociation front is almost a plane owing to the PBCs. As the hydrate decomposes, the guest molecules encapsulated in the hydrate cage are released and diffuse into the liquid phase. A large number of guest molecules gradually spread into the liquid phase with hydrate dissociation. Owing to the low solubility of methane and propane molecules in the liquid phase, the liquid phase rapidly becomes oversaturated, and nanobubbles and hydrocarbon phases form. As shown in Figure 4, several gas clusters appear in the system at the early dissociation stage (0–10 ns); a cubic region of hydrocarbon phase then forms in the liquid phase owing to the PBCs, and this region contains mixed methane and propane molecules. The formation of nanobubbles and hydrocarbon phase can increase the chemical potential difference between the hydrate and liquid phases, thus accelerating hydrate dissociation.63,64 However, in a confined space, if nanobubbles cannot spread out in time during hydrate dissociation, it is possible for a rapid increase in pressure to occur in the pore, which has a negative impact on further dissociation of hydrates. The general sII hydrate dissociation mechanism is shown in Figure 4, and it is almost consistent with the sI hydrate mechanism.2429

Figure 4.

Figure 4

Six snapshots in the xy plane of the binary sII hydrate at different dissociation times (initial temperature T = 322 K); gas clusters and the mixed hydrocarbon phase are marked.

To quantify the dissociation process of the sII hydrates, the hydrate cluster is divided into six equally spaced layers (L1–L6), as shown in Figure 1. Because PBCs are used in our simulations, the time variation of the hydrate cluster is almost symmetrical; therefore, we only present the time variation of the average F3 order parameter for layers L4–L6 under different initial dissociation temperature conditions in Figure 5 (L4 is the inner layer and L6 is the outermost layer facing the liquid phase in the initial simulation configuration). It should be noted that the average F3 order parameters for the L6 hydrate layer initially increase to 0.1 (liquid phase); subsequently, the average F3 order parameters for layer L5 increase, and finally, the average F3 order parameters for layer L4 increase. This result is independent of the initial simulation temperature. Because the hydrate phase has already decomposed during the equilibrium simulations, the initial value of the average F3 for the L6 hydrate layer may be larger than those for the other layers. These results directly confirm that hydrate dissociation in the liquid phase is a phase transition process from the outer layer to the inner layer. Moreover, the inner layer of the hydrate does not decompose until the outer layer is completely broken down, which indicates that the presence of the outer layer of the hydrate can prevent decomposition of the inner hydrate layer.

Although the dissociation pathways of the sII hydrate phase are almost the same, the dissociation time for each hydrate layer differs under different initial temperature conditions. When the initial dissociation temperature is 292 K (Figure 5a), only the values of F3 for the L6 layer increase, and the maximum equilibrium value does not increase to 0.1. This indicates that the outermost layer of the hydrate does not decompose during the simulation time at this initial temperature, and the inner layer remains in the hydrate phase. When the initial temperature increases to 302 K (Figure 5b), the outermost L6 hydrate layer is dissociated at ∼25 ns. After the L6 layer is dissociated, the hydrate cluster in layer L5 begins to decompose, and this layer does not break down fully at the end of the MD simulation. When the initial temperature increases further to 312 K (Figure 5c), the outermost hydrate layer is broken down completely at ∼9 ns, and the dissociation of the hydrate in layer L5 does not finish by the end of the simulation; however, more of the hydrate in layer L5 dissociates than at an initial dissociation temperature of 302 K. When the initial temperature is 322 K (Figure 5d), the outermost layer is dissociated at 3 ns, the hydrate in layer L5 layer is dissociated within 15 ns, and the hydrate in the inner layer L4 becomes a liquid phase at 27 ns. According to the F3 curves for the three layers, the dissociation time for the inner hydrate layer is longer than that for the outer layer because of the temperature drops during the dissociation process. It should be noted that the value of F3 for layer L4 increases rapidly in the final stage of hydrate dissociation (26–27 ns) under an initial temperature of 322 K because the guest molecules are released from the cages and the residual hydrate cages collapse easily without the support of guest molecules during this stage.

Figure 5.

Figure 5

Time variation of the average F3 order parameters for each layer at different initial temperatures of 292 (a), 302 (b), 312 (c), and 322 K (d).

3.3. Effect of Guest Molecule Occupancy on the Dissociation Behavior

Both pure propane hydrate and methane + propane binary hydrate crystals are sII hydrate structures. Figure 6a presents the time variation of the system temperature for the two hydrate systems under the same initial temperature (292 K). Under this initial temperature condition, the binary hydrate temperature decreases slowly in the primary stage and reaches a dynamic equilibrium, as discussed above. In contrast, the system temperature of pure propane hydrate decreases rapidly (∼13 K) within 2 ns, which indicates that the pure propane hydrate quickly transforms to a liquid phase, while most of the methane + propane binary hydrate cluster remains in the solid state. When the initial system temperature is decreased to 282 K, the MD simulation results in the NVE ensemble show that the dissociation time increases to 5 ns for the pure propane hydrate, and the temperature drops by approximately 22 K. Based on the simulation results, pure propane sII hydrates decompose faster than binary hydrates under the same initial temperature and pressure conditions, which is mainly attributed to the occupation of methane molecules in the small cages of binary propane hydrates. The occupation of guest molecules stabilizes the crystal cage and decreases the hydrate dissociation rate.65,66

Figure 6.

Figure 6

(a) Time variation of the system temperature for the pure and binary hydrate systems under different initial temperature conditions; (b) snapshots of the small cage dissociation process in pure propane hydrate.

Figure 6b shows the dissociation process of the small cage without guest molecules; the empty cage collapses quickly. Compared to the small cage with guest occupation, only one step occurs in the collapse of the empty cage: the collapse begins on one side of the cage and spreads to the entire cage, unlike the two-step pathway induced by the guest–host interaction. For the cage with a guest molecule, the dissociation process begins on one cage side; the enhanced diffusion of water molecules on one cage side leads to breaking of the water cage. Subsequently, the guest molecule diffuses from this incomplete cage; snapshots are shown in Figure S2; this dynamics process is similar to the previous results.2325 The diffusion of guest molecules from an incomplete cage takes a certain amount of time, and unreleased guest molecules within the hydrate cages continue to stabilize the cages at this time. Finally, the cage dissociation rate increases rapidly after the guest molecule escapes from the incomplete cage. The presence of guest molecules in small cages is the reason that the pure propane hydrate dissociates faster than the propane + methane binary hydrate.

3.4. Evolution of Gas Clusters

The goal of hydrate exploration and exploitation is to extract natural gas from hydrate resources; therefore, the mass transfer of guest molecules is the focus of our attention. As shown in Figure 4, guest molecules (both methane and propane) are released from the hydrate cage and diffuse into the liquid phase. These molecules then aggregate into a small gas cluster owing to the low solubility of small hydrocarbon molecules in water, and these clusters eventually evolve into nanobubbles (Figures 4 and 7). Previous studies have demonstrated that nanobubbles are the main form of released gas molecules and also play an essential role in the further dissociation of residual hydrate,63,64 especially in confined pore spaces.3335

Figure 7.

Figure 7

Snapshots showing the evolution of nanobubbles/hydrocarbon phase (a) and time variation of nanobubble sizes (c) in a binary sII hydrate dissociation system at an initial temperature of 322 K; (b) snapshot showing the final state (b) and time variation of nanobubble sizes (d) for the pure propane hydrate system at an initial temperature of 282 K. Water molecules are not shown. Due to the difference in guest molecule density, the boundary between water and hydrocarbon phase can be distinguished easily. Nanobubble is abbreviated as NB in this figure.

In Figure 7a, the evolution of gas clusters in the propane + methane binary hydrate system at the 322 K initial temperature condition is shown intuitively, and the variation in nanobubble sizes with time is shown in Figure 7c. Because of the PBCs, both hydrate surfaces are preferentially dissociated, leading to the formation of two nanobubbles near the two dissociation fronts at 1 ns; methane and propane molecules are mixed in the nanobubbles. As the hydrate dissociation proceeds, more methane and propane molecules are released from the dissociation front surfaces; the two nanobubbles grow in cylindrical shapes owing to the PBC in the z-direction, and eventually, the two nanobubbles merge and evolve into a hydrocarbon phase at 10 ns. Compared to the binary hydrate, in the pure hydrate, three propane nanobubbles were formed within 5 ns due to the propane releasing from the hydrate cluster at an initial temperature of 282 K (Figure 7d). Nanobubbles gradually grew, and two of these merged into each other to finally form a larger one at 15 ns. Thereby, two nanobubbles exist in the liquid phase and do not form the hydrocarbon phase before the simulation is finished (Figure 7b). This phenomenon is induced by the number of guest molecules; there are eight propane molecules and 16 methane molecules in the binary unit sII hydrate, whereas there are only eight propane molecules in the pure sII hydrate.

4. Conclusions

MD simulations were used to investigate the dissociation processes of pure and binary sII hydrates in the liquid phase under a series of initial temperature conditions in an adiabatic ensemble (NVE). Through the simulations, we clarified the relationship between sII hydrate dissociation behavior and temperature as well as the difference in sII dissociation behavior between pure and binary hydrates. The simulation results showed that the higher the initial temperature, the faster the rate of hydrate dissociation would be, and this trend was independent of the structure and guest occupancy of the hydrate. Because hydrate dissociation is an endothermic process, the temperature of the system drops during the dissociation process, which slows the further dissociation of the residual hydrate. Under the initial temperature conditions in the simulations, both pure and binary sII hydrates dissociated from the outside to inside, similar to the behavior of the sI hydrate, and the inner layer of the hydrate could break down only after all of the outer layers of the hydrate had dissociated. At the same dissociation temperature, the dissociation rate of pure propane hydrate was much faster than that of binary hydrates because the empty small cages collapsed more easily without support from guest molecules. In addition, guest gas molecules were released from the hydrate phase and rapidly evolved into nanobubbles. In the binary hydrate system, these nanobubbles merged and formed a hydrocarbon phase owing to the large number of gas molecules.

This study revealed the microscopic dissociation dynamics of pure and binary sII hydrates. The simulation results can provide an understanding of the effects of the hydrate crystal structure and guest occupancy on the hydrate dissociation behavior, which is the theoretical basis for hydrate exploitation with high efficiency.

Acknowledgments

This work was supported by the National Natural Science Foundation of China (no. 42206235) and the International Postdoctoral Exchange Fellowship Program (no. PC2021073).

Supporting Information Available

The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acsomega.2c04488.

  • Initial configurations of the hydrate dissociation for the MD production simulations at the initial temperatures of 282 and 292 K and snapshots of the dissociation process of the small cage with a guest molecule (methane) in the propane + methane binary hydrate (PDF)

The authors declare no competing financial interest.

Supplementary Material

ao2c04488_si_001.pdf (301.8KB, pdf)

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