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Molecular dynamics simulations of diffusive properties of stressed water films in quartz and clay grain contactsreactions Floris S.R. Teuling 1 , Marthe G. Guren 2 , Francois Renard 2 , Martyn R. Drury 1 , Suzanne J.T. Hangx 1 , Helen E. King 1 , Oliver Plümper 1 , Henrik A. Sveinsson 2 1. Utrecht University, Department of Earth Sciences, Princetonlaan 8a, 3584 CB Utrecht, the Netherlands 2. University of Oslo, Department of Physics, The Njord Centre, Sem Sælands vei 24 0371 Oslo Faculty of Geosciences Departement of Earth Sciences References 1. Pijnenburg, et al. (2019). Journal of Geophysical Research: Solid Earth 2. Lehner, F. K. (1995). Tectonophysics, 245(3-4), 153-170. 3. Cygan et al. (2004). The Journal of Physical Chemistry B, 108(4), 1255-1266. Introduction Hydrocarbon production can increase effective normal stresses in reservoirs, inducing deformation and seismicity 1 . The kinetics of time-dependent inelastic processes as pressure solution, that could persist long after production, are badly constrained. These processes can be limited by diffusive transport, which depends strongly on the product of fluid film thickness (d) and the diffusivity (D) at stressed grain contacts 2 . To predict the long-term response of reservoirs d D must be quantified, but this is difficult to achieve in an experiment. Therefore, we perform molecular dynamics simulations with the parallel code LAMMPS to model stressed fluid film behaviour. Here we present the preliminary results on a grain contact with 10-10 quartz surfaces and water as a fluid under reservoir conditions. Equilibrate to T = 373K and P f = 8 MPa Apply = 100 MPa to the contact Diffusion Coefficient: Einstein relation = 2 Nose-Hoover thermostat and barostat: 1. NVT ensemble 2. NPT ensemble = 1 2 lim →∞ = ∙ Δ Conclusions The stressed fluid films in our simulations reach steady-state thicknesses after run times on the order of nanoseconds. Under reservoir conditions, the thicknesses are reduced to less than a nanometer, but multiple adsorbed layers of water remain. Next steps We will perform production runs on the Dutch national supercomputer Cartesius for statistically significant calculations of film thickness and mean square displacement (MSD). With these data we can explore the chemical implications of the changing water structure in the stressed fluid film. This will then be expanded to quartz-clay systems. Quartz Illite = 8 2 0 ClayFF Force Field 3 - Lennard-Jones potential - Coulombic interactions - Explicit bond stretch and angle terms for hydroxyl groups and water molecules (SPC) Solving Newton’s equations of motion Thin film Island- channel + Hydroxylation 2 nm 20 μm Illite Quartz Quartz Illite P zz
Transcript

Molecular dynamics simulations of diffusive properties of stressed water films in

quartz and clay grain contactsreactions

Floris S.R. Teuling1, Marthe G. Guren2, Francois Renard2, Martyn R. Drury1, Suzanne J.T. Hangx1, Helen E. King1, Oliver Plümper1,

Henrik A. Sveinsson2

1. Utrecht University, Department of Earth Sciences, Princetonlaan 8a, 3584 CB Utrecht, the Netherlands 2. University of Oslo, Department of Physics, The Njord Centre, Sem Sælands vei 24 0371 Oslo

Faculty of Geosciences

Departement of Earth Sciences

References

1. Pijnenburg, et al. (2019). Journal of Geophysical Research: Solid Earth

2. Lehner, F. K. (1995). Tectonophysics, 245(3-4), 153-170.

3. Cygan et al. (2004). The Journal of Physical Chemistry B, 108(4), 1255-1266.

Introduction

Hydrocarbon production can increase effective normal stressesin reservoirs, inducing deformation and seismicity1. The kineticsof time-dependent inelastic processes as pressure solution, thatcould persist long after production, are badly constrained.These processes can be limited by diffusive transport, whichdepends strongly on the product of fluid film thickness (d) andthe diffusivity (D) at stressed grain contacts2.

To predict the long-term response of reservoirs d∙D must bequantified, but this is difficult to achieve in an experiment.Therefore, we perform molecular dynamics simulations with theparallel code LAMMPS to model stressed fluid film behaviour.Here we present the preliminary results on a grain contact with10-10 quartz surfaces and water as a fluid under reservoirconditions.

Equilibrate to T = 373K and Pf = 8 MPa

Apply 𝝈𝒏𝒆𝒇𝒇

= 100 MPa to the contact

Diffusion Coefficient: Einstein relation

𝑀𝑆𝐷 = 𝒙 𝑡 − 𝒙𝑜2

Nose-Hoover thermostat and barostat:1. NVT

ensemble2. NPT

ensemble

𝐷 =1

2𝑛lim𝜏→∞

𝑑𝑀𝑆𝐷 𝜏

𝑑𝜏

ሶ𝜀 = 𝐾𝑒𝑓𝑓 ∙ Δ𝜇𝑄𝑡𝑧 𝑐𝑜𝑛𝑡𝑎𝑐𝑡−𝑝𝑜𝑟𝑒

Conclusions

The stressed fluid films in our simulations reach steady-statethicknesses after run times on the order of nanoseconds. Underreservoir conditions, the thicknesses are reduced to less than ananometer, but multiple adsorbed layers of water remain.

Next steps

We will perform production runs on the Dutch nationalsupercomputer Cartesius for statistically significant calculationsof film thickness and mean square displacement (MSD). Withthese data we can explore the chemical implications of thechanging water structure in the stressed fluid film. This will thenbe expanded to quartz-clay systems.

Quartz

Illite

𝐾𝑒𝑓𝑓 =8𝑫𝒅

𝑎2𝑙𝑒𝑞𝜌𝑓𝐶0

𝑒𝑞 𝑉𝑚𝑅𝑇

ClayFF Force Field3

- Lennard-Jonespotential

- Coulombic interactions- Explicit bond stretch

and angle terms forhydroxyl groups andwater molecules (SPC)

Solving Newton’s equations of motion

𝜎𝑛

𝜎𝑛

Thin filmIsland-channel

+ Hydroxylation

2 nm

20 µm

Illite

Quartz

Quartz

Illite

Pzz

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