Abstract
Shale oil is stored in nanoscale shale reservoirs. To explore enhanced recovery, it is essential to characterize the flow of hydrocarbons in nanopores. Molecular dynamics simulation is required for high-precision and high-cost experiments related to nanoscale pores. This technology is crucial for studying the kinetic characteristics of substances at the micro- and nanoscale and has become an important research method in the field of micro-mechanism research of shale oil extraction. This paper presents the principles and methods of molecular dynamics simulation technology, summarizes common molecular models and applicable force fields for simulating shale oil flow and enhanced recovery studies, and analyzes relevant physical parameters characterizing the distribution and kinetic properties of shale oil in nanopores. The physical parameters analyzed include interaction energy, density distribution, radial distribution function, mean-square displacement, and diffusion coefficient. This text describes how molecular dynamics simulation explains the mechanism of oil driving in CO2 injection technology and the factors that influence it. It also summarizes the advantages and disadvantages of molecular dynamics simulation in CO2 injection for enhanced recovery of shale oil. Furthermore, it presents the development trend of molecular dynamics simulation in shale reservoirs. The aim is to provide theoretical support for the development of unconventional oil and gas.
1 Introduction
Shale reservoirs differ from conventional sandstone reservoirs in several ways. They have smaller pore throats, lower permeability, higher mud content, and micro- and nano-pore channels. These channels typically have diameters less than 10 nm, and some even have pores less than 2 nm in organic matter. As a result, the seepage mechanism in shale reservoirs is complex and does not conform to Darcy’s law of seepage (; ; ; ; ; ). And the pore wall composition is complex, which has a great influence on both shale oil endowment and flow in the pore space. Shale is characterized by high brittleness, non-homogeneity, high clay mineral content, and difficulty in fracturing (; ). At the present stage, horizontal well fracturing technology and multi-well platform industrialized production and other technologies are generally used to modify the reservoir and improve the reservoir permeability, but still can not achieve the desired oil and gas recovery rate. Later, water flooding, chemical flooding, gas flooding, gas huff and puff and other enhanced oil recovery development technologies have been developed successively, but there are different degrees of problems (; ). Water drive will produce serious water-sensitive reaction, low water wave efficiency, capillary phenomenon is serious, the development is more difficult; for chemical drive with water drive, there is the same problem of difficult to inject, and serious pollution to the environment, the use of high cost, is not suitable for large-scale production. In comparison, gas injection to improve recovery is a more environmentally friendly and efficient development method.
In the selection of displacement media, experimental studies and field development reports have proved that CO2 injection can effectively improve oil recovery and achieve CO2 storage (; ; ). CO2 is dissolved in the crude oil, which leads to the expansion of the crude oil volume, thus reducing the viscosity of the crude oil, so that the crude oil mobility is improved (). According to whether the displacement pressure is higher than the minimum miscible pressure (MMP), gas flooding is divided into immiscible flooding, near miscible flooding and miscible flooding (). Compared with nitrogen and methane, CO2 has a lower minimum miscible pressure ().
This paper explores methods for studying the flow behavior of fluids in nanopores and summarizes recent advances in molecular dynamics simulations for shale oil flow as well as enhanced recovery. In recent years, molecular dynamics simulation has been widely used in the study of shale oil flow characteristics as well as enhanced recovery, which can not only make up for the shortcomings of physical experiments in micro and nanoscale studies and reduce the cost, but also intuitively observe the kinetic behaviors and microscopic mechanisms of the interactions between different fluids in the confined space.
2 Methods for studying fluid flow behavior in micro- and nanopores
Currently, the study of fluid states in micro- and nanopores is primarily divided into experimental research and numerical simulations (). The microfluidic method is currently the most commonly used experimental technique for studying the flow behavior of microscale fluids. This method has been used to investigate the diffusion of macromolecular tracers and the phase transition behavior of light components in nano-slits (; ). It has also been used to observe the flow behavior of single-phase water and gas-water two-phase flow in 100 nm channels, including different flow regimes such as laminar flow and annular flow (). Additionally, it has been utilized to study the mechanism of enhanced recovery in shale reservoirs (). Nuclear magnetic resonance (NMR) technology has been widely used in studies on enhanced shale oil recovery. The technology categorizes shale oil into movable and immovable oil and investigates the effects of gas drive time and maintenance pressure on drive efficiency (; ). The lattice Boltzmann method (LBM) enables simulation of fluid flow within porous media and detection of the interactions of microscopic fluid particles to obtain macroscopic properties of the study object (; ). Mahabadian et al. () used LBM to study mixed-phase flow in two-dimensional pores and fractures, and the simulation results agreed well with the microchannel experiments of Ahdari et al. (). The available LBM simulations predominantly study single-phase flow and non-mixed-phase drives, which are in good agreement with the experimental results.
3 Advances in molecular dynamics modeling in shale oils
3.1 Molecular dynamics simulation
3.1.1 Fundamentals of molecular dynamics simulations
The molecular dynamics simulation method is based on physical principles such as Newtonian mechanics and quantum mechanics, and simulates the kinetic behavior of molecules under given conditions by calculating the interaction forces between molecules and the trajectories of molecular motion (). In molecular dynamics simulations, matter is viewed as basic units composed of atoms, and the kinetic properties of matter are explored by simulating the changes in these basic units over time. Molecular dynamics simulations play an important role in the fields of materials, physics, chemistry, biology, and the environment. In the molecular dynamics simulation study of the kinetic characteristics of shale oil, generally with the help of software for modeling and data analysis, now the commonly used software are LAMMPS, Materials Studio, GROMACS, VASP and so on.
In molecular dynamics simulations of fluids within nanopores, most studies focus on fugacity, diffusion, and transport. Short-range molecular interactions are typically described using the Lennard-Jones potential, while long-range electrostatic forces are often calculated using the Coulomb potential or the PPPM method. The entire system is subject to periodic boundary conditions, and cutoff distances are used to eliminate the influence of periodic atoms on the system. The cutoff distance is usually not greater than half of the simulation box. The entire system is maintained electrically neutral. The temperature and pressure of the system are regulated by a Nose-Hoover thermostat and a Parrinello-Rahman pressure regulator. The specific simulation process is shown in Figure 1.
FIGURE 1
3.1.2 Molecular composition and force field description of shale
As shown in Figure 2, the mineral composition of shale reservoir is complex and has strong heterogeneity. It not only contains abundant organic matter, but also a large number of inorganic minerals, including quartz, feldspar, calcite, dolomite and some clay minerals (). The organic fraction accounts for 5% of the total shale fraction, and the organic matter pore seams have very high porosity and specific surface area, which is an important part of the reservoir space, while the inorganic fractions with the highest percentage in the shale reservoir are mainly quartz and clay minerals.
FIGURE 2
In molecular dynamics simulation studies related to shale oil, it is crucial to study kerogen as it is the primary source of shale oil. Kerogen is chemically and physically heterogeneous (
Existing molecular dynamics simulation studies usually use single mineral crystals to compose the rock surface in order to simplify the model and shorten the computation time, such as using graphene or carbon nanotubes instead of complex organic reservoir structures (
FIGURE 3

Modeled structures of common organic and inorganic shale reservoirs (from left to right and top to bottom, graphene, quartz (
Force field in molecular dynamics simulation is a mathematical model used to describe the intermolecular interactions and is an important concept in molecular dynamics simulation (
Table 1 shows some common force fields and their range of application. CVFF (consistent valence force field) can be well applied to the simulation of organic molecules, the disadvantage is that its formula is extremely complicated. PCFF (polymer consistent force field) can also calculate the properties of organic matter, such as polymers and kerogen, etc. COMPASS (condensed-phase optimized molecular potential for atomic simulation studies force field) is the second generation of consistent force field with improved parameters based on PCFF. COMPASS shows better predictions compared to other force fields (
TABLE 1
| No. | Force field | Scope of application |
|---|---|---|
| 1 | CVFF ( | For organic molecules, protein simulation |
| 2 | OPLS ( | Suitable for liquid systems such as peptides, proteins, nucleic acids, organic solventsetc. |
| 3 | PCFF ( | Suitable for organic matter, including polymers and kerogenetc. |
| 4 | COMPASS ( | Suitable for common organic and inorganic small molecules and macromolecules, but also for the simulation of metals, metal oxides and metal halides |
| 5 | SPCE ( | Suitable for pure water systems |
| 6 | AMBER ( | Suitable for protein and nucleic acid systems, polysaccharides |
| 7 | GAFF ( | Pervasive organic small molecule force field with the same functional form as the AMBER force field, fully compatible with the AMBER force field |
| 8 | CLAYFF ( | Peptide nucleic acids, liquid systems of organic solvents |
Common force fields and their applicability.
3.1.3 Calculation of relevant physical parameters
Molecular dynamics simulation can visualize the distribution characteristics and kinetic properties of shale oil in the reservoir, and the main physical characterization parameters are interaction energy, density distribution, radial distribution function, mean square displacement, diffusion coefficient and so on. The following is a detailed introduction and example application of each physical characterization parameter.
3.1.3.1 Interaction energy
For pores with different mineral properties and different wettability, there are differences in the interaction force between the fluid and the wall (
Figure 4 shows the cohesive energy between crude oil molecules and the interaction energy between crude oil and pores in pores with different mineral properties (
FIGURE 4

Interaction energy changes during crude oil migration: (A) cohesive energy during crude oil migration; (B) interaction energy between crude oil and the wall (
3.1.3.2 Density distribution
The density distribution is one of the most important properties in the resultant information from molecular dynamics simulations. It is difficult to provide interfacial densities on the nanoscale experimentally, and molecular dynamics simulations can fill this gap. The density distribution in molecular dynamics simulations is usually distributed by dividing a specified area, and the average density of crude oil molecules in the nth cell from time step JN to JM along the z-direction, which divides the entire shale pore space into multiple cells of equal volume, is (
The component of shale oil is complex, containing a large number of alkanes, aromatic hydrocarbons, and various compounds, among which the content of aromatic hydrocarbons is larger than that of conventional oil and gas reservoirs (
FIGURE 5

Density distribution curve of methane in graphite slit (
3.1.3.3 Radial distribution function
The radial distribution function (RDF) can be used to characterize the spatial distribution of oil and gas molecules in the model, describing how the density varies with distance from the central particle, with the value of the ratio of the local density to the overall density. The RDF is defined by the following equation:
Where is the number of molecules in the region with distance from the center, is the density of the system. The radial distribution function can be interpreted as the ratio of the local density to the global density of the system, which reflects the variation of particle density with distance. The density of the region near the reference molecule, that is, the region with a small r value, is different from the average density of the system, and the value of the radial distribution function in the region with a large r value should be close to 1.
The position of the RDF peak is very important in molecular dynamics simulation studies, which can reflect many problems. The peak of RDF is less than or equal to 3.5 Å, which indicates that there are chemical or hydrogen bonding interactions between the other atoms and the reference atoms; if the peak is greater than 3.5 Å, it indicates that van der Waals and electrostatic forces play a dominant role in the system (
FIGURE 6

RDF profiles of C (dodec)-C (dodec) for (A) 303 K, (B) 343 K and (C) 383 K, C (dodec)-C(CO2) for (D) 303 K, (E) 343 K and (F) 383 K (
3.1.3.4 Mean square displacement, diffusion coefficient
Both the mean square displacement and the diffusion coefficient are capable of reflecting the state of motion of the particles in the system and characterizing the diffusion capacity of the molecules in the system. The defining equation for MSD is derived from Einstein’s equation (
Where and are the position vectors of the particles at the moment of and the initial moment, respectively. According to the statistical principle, when there are enough particles and the simulation time is long enough, any instant of the system can be treated as a time zero, and the computed averages should be the same. Let the step time interval be . The mean square displacement is calculated as follows:where N is the number of system particles and n is the number of simulation steps.
When the system is a liquid, increases exponentially for small values of t. For large values of t, is approximately linear. According to Einstein’s law of diffusion, there iswhere D is the diffusion constant. Thus when the time is long enough, the slope of the MSD versus time curve is 6D.
The mean square displacement and diffusion coefficient reflect the intensity of the movement of hydrocarbon molecules on the pore surface. The mineral type has a significant effect on the fluid movement behavior in the pore space, as shown in Figure 7A, the diffusion coefficient of n-octane in clay minerals has a value of 10–9 m2/s, which verifies the results of molecular dynamics simulation done by Wang et al. (
FIGURE 7

(A) Diffusion coefficients of n-octane in slits composed of different mineral fractions; (B) Diffusion coefficients of various alkanes in shale (
3.2 Application of molecular dynamics simulation to shale oil flow characterization and CO2 gas injection development
3.2.1 Molecular dynamics simulation of shale oil flow characteristics
The study utilized the nonequilibrium molecular dynamics approach to analyze fluid dynamics behavior and evaluate the relevance of this approach in describing flow under pressure gradient conditions by a continuous hydrodynamic model (
The concept of nanofluid was first proposed by Choi and Eastman in 1995, and the fluid transportation properties in nanopores are different from those in conventional pores (
FIGURE 8

Slip phenomenon of fluid in nanopores (b is the slip length) (
FIGURE 9

Comparison of velocity profiles for CH4 transport in graphene, quartz, and calcite nanopores (
Numerous molecular dynamics simulation studies conducted by previous authors have summarized that the fluid viscosity under extreme constraints has a large difference relative to the bulk-phase fluid, ranging from an increase of four orders of magnitude to a decrease of three orders of magnitude (
These single-phase and multiphase flow models in the extreme confined space have laid the foundation for the development of shale oil, but they also lead to many problems, such as how to judge the slip boundary, whether the same law exists for single-component hydrocarbons and multicomponent hydrocarbons and so on, which are yet to be investigated by more in-depth theoretical studies, so as to provide the theoretical basis for the shale oil enhancement of the recovery in the future.
3.2.2 Molecular dynamics simulation of CO2 injection to enhance oil recovery in shale reservoirs
The process of CO2 drive behavior in shale reservoirs is quite different from conventional reservoirs (
CO2 exhibits different properties under different temperature and pressure conditions, which affects the interaction with crude oil and walls. The bond angle of CO2 at room temperature and pressure is 180°, and changes in temperature and pressure can lead to changes in the bond angle, which prevents the centers of positive and negative charges from overlapping, leading to localized intermolecular aggregation (
FIGURE 10

Entrance effect of CO2 in micro and nanopores (
CO2 is in a supercritical state when the temperature and pressure exceed 31°C and 7.1 MPa, respectively (
FIGURE 11

Competitive adsorption process of CO2 and crude oil. (A) Initial model of competitive adsorption of CO2 and crude oil in nanopores (left: CO2, right: n-octane); (B) Adsorption of crude oil molecules on the pore walls; (C) CO2 dissolved and diffused in crude oil; (D) CO2 molecules displacing crude oil molecules adsorbed on the pore wall.
The interaction between CO2 and shale oil is affected by various factors such as temperature, CO2 content ratio, pore structure, etc. Fang et al. (
Through the molecular dynamics simulation method of CO2, we can clarify the diffusion and mass transfer law of CO2 in the micro and nanoscale pores of shale reservoirs, and put forward the new method of shale oil development in a targeted way.
4 Conclusion
The development of shale oil presents significant challenges due to the complex and non-homogeneous structure of shale reservoirs. The fluid flow characteristics in these reservoirs differ greatly from macroscopic dimensions. Compared with experimental-based research, molecular dynamics simulation technology has a unique advantage in the field of unconventional oil and gas, using the powerful computational ability of computers and image display capabilities, without the restriction of experimental conditions, to construct micro and nanopores close to the actual reservoir, simulate the high temperature and high pressure environment, simulate the molecular structure and dynamics of the molecular behavior from the molecular scale, the simulation cost is low, and the results can be visualized, which can be used to supplement experimental research. This paper reviews the methods of fluid flow behavior in confined nanopores, the basic principles of molecular dynamics simulation, and the relevant physical parameters. On this basis, the application of molecular dynamics simulation in shale oil flow characterization and gas injection is described. Conclusions and outlook are given:
(1) Experimental studies of fluid flow behavior in nanopores require high instrument accuracy and long testing time. Molecular dynamics simulation is widely used in shale oil research to simulate various unconventional geological conditions. The choice of force field directly affects the final simulation results. The state of the fluid in the nanopore can be analyzed using physical parameters such as interaction energy, density distribution, radial distribution function, mean square displacement, and diffusion coefficient.
(2) Ignoring the slippage phenomenon and viscosity correction can result in a significant error between the estimated total flow rate and the actual rate in the nanopore fluid. The CO2 oil drive mechanism is primarily controlled by the pressure gradient and competitive adsorption. CO2 molecules are more readily adsorbed on the wall than alkane molecules, and the inlet effect of CO2 in the nanopore makes it challenging for it to enter the pore space.
(3) Molecular dynamics simulation research has made considerable progress, but there are obvious shortcomings, such as molecular dynamics simulation to build the system is idealized, only for single-factor analysis, the actual geological conditions are very complex and variable, the need to fit the physical experimental results and field reports to ensure that the simulation results of the authenticity and reliability. Molecular dynamics simulation is mostly applied to the microscopic scale in shale oil research, which is the advantage of molecular dynamics simulation, but in the subsequent research, we should consider how to transfer the results of molecular dynamics simulation to mesoscopic or even macroscopic scales to realize cross-scale research. When applied to oil and gas systems of larger sizes, the computational efficiency is low, and large-scale calculations cannot be carried out in a shorter time, and the combination of molecular dynamics simulation and machine learning should be considered to improve the computational efficiency.
Statements
Author contributions
XH: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Software, Validation, Visualization, Writing–original draft, Writing–review and editing. XY: Data curation, Formal Analysis, Investigation, Methodology, Visualization, Writing–original draft, Writing–review and editing. XL: Data curation, Investigation, Writing–original draft, Writing–review and editing. HW: Writing–original draft, Writing–review and editing. DH: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Project administration, Resources, Supervision, Visualization, Writing–original draft, Writing–review and editing. WL: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Supervision, Validation, Writing–original draft, Writing–review and editing.
Funding
The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This work is funded by the CNPC Innovation Found (2022DQ02-0102).
Conflict of interest
Author XY was employed by CNOOC Research Institute Ltd. Author XL was employed by China National Logging Corporation. Author HW was employed by Changqing Oil and Gas Branch Company.
The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Publisher’s note
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
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Summary
Keywords
shale oil, molecular dynamics simulations, CO2 flooding, flow characteristics, microscopic mechanism, enhanced recovery
Citation
Huang X, Yu X, Li X, Wei H, Han D and Lin W (2024) A review of the flow characteristics of shale oil and the microscopic mechanism of CO2 flooding by molecular dynamics simulation. Front. Earth Sci. 12:1401947. doi: 10.3389/feart.2024.1401947
Received
16 March 2024
Accepted
17 April 2024
Published
10 May 2024
Volume
12 - 2024
Edited by
Hongjian Zhu, Yanshan University, China
Reviewed by
Yize Huang, Chinese Academy of Sciences (CAS), China
Debin Xia, Chinese Academy of Sciences (CAS), China
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© 2024 Huang, Yu, Li, Wei, Han and Lin.
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*Correspondence: Denglin Han, handl@yangtzeu.edu.cn; Wei Lin, ucaslinwei@126.com
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