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Title: Estimating diffusion coefficients of shale oil, gas, and condensate with nano-confinement effect

Abstract

Molecular diffusion plays an important role in oil and gas migration in tight shale formations. However, there are insufficient reference data in the literature to specify the diffusion coefficients within porous media. This study aims at calculating diffusion coefficients of shale gas, shale condensate, and shale oil at reservoir conditions with CO2 injection for EOR/EGR. The large nano-confinement effects including large gas-oil capillary pressure and critical property shifts could alter the phase behaviors. This paper estimates the diffusivities of shale fluids in nanometer-scale shale rock from two perspectives: 1) examining the shift of diffusivity caused by nanopore confinement effects from phase change (phase composition and fluid property) perspective, and 2) calculating the effective diffusion coefficient in porous media by incorporating rock intrinsic properties (porosity and tortuosity factor). The tortuosity is obtained by using tortuosity-porosity relations as well as the measured tortuosity of shale from 3D imaging techniques. The results indicated that nano-confinement effects could affect the diffusion coefficient through altering the phase properties, such as phase compositions and densities. Compared to bulk phase diffusivity, the effective diffusion coefficient in porous shale rock is reduced by 102 to 104 times as porosity decreases from 0.1 to 0.03.

Authors:
 [1];  [1]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
Publication Date:
Research Org.:
Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
Sponsoring Org.:
USDOE Office of Fossil Energy (FE)
OSTI Identifier:
1849267
Alternate Identifier(s):
OSTI ID: 1619426
Grant/Contract Number:  
FE0031576
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Petroleum Science and Engineering
Additional Journal Information:
Journal Volume: 193; Journal Issue: C; Journal ID: ISSN 0920-4105
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
04 OIL SHALES AND TAR SANDS; 42 ENGINEERING; Energy & Fuels; Engineering; Diffusion coefficient; Shale type fluids; Nano-confinement effect; Critical property shifts; Porous media

Citation Formats

Du, Fengshuang, and Nojabaei, Bahareh. Estimating diffusion coefficients of shale oil, gas, and condensate with nano-confinement effect. United States: N. p., 2020. Web. doi:10.1016/j.petrol.2020.107362.
Du, Fengshuang, & Nojabaei, Bahareh. Estimating diffusion coefficients of shale oil, gas, and condensate with nano-confinement effect. United States. https://doi.org/10.1016/j.petrol.2020.107362
Du, Fengshuang, and Nojabaei, Bahareh. Mon . "Estimating diffusion coefficients of shale oil, gas, and condensate with nano-confinement effect". United States. https://doi.org/10.1016/j.petrol.2020.107362. https://www.osti.gov/servlets/purl/1849267.
@article{osti_1849267,
title = {Estimating diffusion coefficients of shale oil, gas, and condensate with nano-confinement effect},
author = {Du, Fengshuang and Nojabaei, Bahareh},
abstractNote = {Molecular diffusion plays an important role in oil and gas migration in tight shale formations. However, there are insufficient reference data in the literature to specify the diffusion coefficients within porous media. This study aims at calculating diffusion coefficients of shale gas, shale condensate, and shale oil at reservoir conditions with CO2 injection for EOR/EGR. The large nano-confinement effects including large gas-oil capillary pressure and critical property shifts could alter the phase behaviors. This paper estimates the diffusivities of shale fluids in nanometer-scale shale rock from two perspectives: 1) examining the shift of diffusivity caused by nanopore confinement effects from phase change (phase composition and fluid property) perspective, and 2) calculating the effective diffusion coefficient in porous media by incorporating rock intrinsic properties (porosity and tortuosity factor). The tortuosity is obtained by using tortuosity-porosity relations as well as the measured tortuosity of shale from 3D imaging techniques. The results indicated that nano-confinement effects could affect the diffusion coefficient through altering the phase properties, such as phase compositions and densities. Compared to bulk phase diffusivity, the effective diffusion coefficient in porous shale rock is reduced by 102 to 104 times as porosity decreases from 0.1 to 0.03.},
doi = {10.1016/j.petrol.2020.107362},
journal = {Journal of Petroleum Science and Engineering},
number = C,
volume = 193,
place = {United States},
year = {Mon May 11 00:00:00 EDT 2020},
month = {Mon May 11 00:00:00 EDT 2020}
}

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Cited by: 12 works
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Works referenced in this record:

The Significance of Particle Shape in Formation Resistivity Factor-Porosity Relationships
journal, March 1961

  • Atkins, E. R.; Smith, G. H.
  • Journal of Petroleum Technology, Vol. 13, Issue 03
  • DOI: 10.2118/1560-G-PA

Measurement of CO2 diffusion coefficient in the oil-saturated porous media
journal, October 2019


A new mechanistic Parachor model to predict dynamic interfacial tension and miscibility in multicomponent hydrocarbon systems
journal, July 2006

  • Ayirala, Subhash C.; Rao, Dandina N.
  • Journal of Colloid and Interface Science, Vol. 299, Issue 1
  • DOI: 10.1016/j.jcis.2006.01.068

Diffusion coefficients in nearshore marine sediments1
journal, May 1982


On the origin and application of the Bruggeman correlation for analysing transport phenomena in electrochemical systems
journal, May 2016

  • Tjaden, Bernhard; Cooper, Samuel J.; Brett, Daniel JL
  • Current Opinion in Chemical Engineering, Vol. 12
  • DOI: 10.1016/j.coche.2016.02.006

Compositional simulation of fractured shale reservoir with distribution of nanopores using coupled multi-porosity and EDFM method
journal, August 2019


Critical shift of a confined fluid in a nanopore
journal, June 2004


On tortuosity and the tortuosity factor in flow and diffusion through porous media
journal, January 1989


Diffusion tortuosity in complex porous media from pore-scale numerical simulations
journal, April 2019


Oil diffusion in shale nanopores: Insight of molecular dynamics simulation
journal, September 2019


Extrapolation of black- and volatile-oil fluid properties with application to immiscible/miscible gas injection
journal, July 2016


Correlation of diffusion coefficients in dilute solutions
journal, June 1955


Enhanced Oil Recovery in Liquid–Rich Shale Reservoirs: Laboratory to Field
journal, September 2017

  • Alharthy, Najeeb; Teklu, Tadesse; Kazemi, Hossein
  • SPE Reservoir Evaluation & Engineering, Vol. 21, Issue 01
  • DOI: 10.2118/175034-PA

A new fractal approach for describing induced-fracture porosity/permeability/ compressibility in stimulated unconventional reservoirs
journal, August 2019


Quantifying the anisotropy and tortuosity of permeable pathways in clay-rich mudstones using models based on X-ray tomography
journal, November 2017


Impact of Capillary Pressure and Nanopore Confinement on Phase Behaviors of Shale Gas and Oil
journal, January 2018


Capillary Critical Point of Argon, Nitrogen, Oxygen, Ethylene, and Carbon Dioxide in MCM-41
journal, June 1997

  • Morishige, K.; Fujii, H.; Uga, M.
  • Langmuir, Vol. 13, Issue 13
  • DOI: 10.1021/la970079u

Nanoscale simulation of shale transport properties using the lattice Boltzmann method: permeability and diffusivity
journal, January 2015

  • Chen, Li; Zhang, Lei; Kang, Qinjun
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep08089

TauFactor: An open-source application for calculating tortuosity factors from tomographic data
journal, January 2016


Critical review of the impact of tortuosity on diffusion
journal, July 2007


Inter- and intradiffusion in liquid mixtures of methane andn-decane
journal, September 1995

  • Dysthe, D. K.; Hafskjold, B.
  • International Journal of Thermophysics, Vol. 16, Issue 5
  • DOI: 10.1007/BF02081289

Diffusion, relaxation, and chemical exchange in casein gels: A nuclear magnetic resonance study
journal, January 2005

  • Gottwald, Antje; Creamer, Lawrence K.; Hubbard, Penny L.
  • The Journal of Chemical Physics, Vol. 122, Issue 3
  • DOI: 10.1063/1.1825383

Molecular Dynamics Simulation of Diffusion of Shale Oils in Montmorillonite
journal, April 2016

  • Wang, Hui; Wang, Xiaoqi; Jin, Xu
  • The Journal of Physical Chemistry C, Vol. 120, Issue 16
  • DOI: 10.1021/acs.jpcc.6b01660

Experimental Study of Carbon Dioxide Diffusion in Oil-Saturated Porous Media under Reservoir Conditions
journal, August 2009

  • Li, Zhaowen; Dong, Mingzhe
  • Industrial & Engineering Chemistry Research, Vol. 48, Issue 20
  • DOI: 10.1021/ie900145c

Effective Diffusion Coefficient in Porous Media
journal, September 1963

  • Weissberg, Harold L.
  • Journal of Applied Physics, Vol. 34, Issue 9
  • DOI: 10.1063/1.1729783

An Integrated Method for Upscaling Pore-Network Characterization and Permeability Estimation: Example from the Mississippian Barnett Shale
journal, June 2015


Effect of Capillary Pressure on Phase Behavior in Tight Rocks and Shales
journal, July 2013

  • Nojabaei, B. .; Johns, R. T. . T.; Chu, L. .
  • SPE Reservoir Evaluation & Engineering, Vol. 16, Issue 03
  • DOI: 10.2118/159258-PA

On a relation between surface tension and density
journal, January 1923


VI.—The variation of surface tension with temperature and some related functions
journal, January 1924


Numerical simulation of CO 2 huff-n-puff in complex fracture networks of unconventional liquid reservoirs
journal, April 2016


Multiscale study for stochastic characterization of shale samples
journal, March 2016


Tortuosity-porosity relation in porous media flow
journal, August 2008


The diffusive tortuosity of fine-grained unlithified sediments
journal, August 1996


A Review of Gas Injection in Shale Reservoirs: Enhanced Oil/Gas Recovery Approaches and Greenhouse Gas Control
journal, June 2019


Surface Tensions of Methane-Propane Mixtures
journal, February 1943

  • Weinaug, Charles F.; Katz, Donald L.
  • Industrial & Engineering Chemistry, Vol. 35, Issue 2
  • DOI: 10.1021/ie50398a028

Diffusion-Dominated Proxy Model for Solvent Injection in Ultratight Oil Reservoirs
journal, December 2018

  • Cronin, Michael; Emami-Meybodi, Hamid; Johns, Russell T.
  • SPE Journal, Vol. 24, Issue 02
  • DOI: 10.2118/190305-PA

Multi-component gas transport and adsorption effects during CO2 injection and enhanced shale gas recovery
journal, March 2014


Characterization of gas transport behaviors in shale gas and tight gas reservoirs by digital rock analysis
journal, January 2017


CO2 injection for enhanced oil recovery in Bakken tight oil reservoirs
journal, November 2015


Recent Advances on Fractal Modeling of Permeability for Fibrous Porous Media
journal, March 2015


Diffusion in a pore of varying cross section
journal, September 1958