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Title: Multiphysics Lattice Discrete Particle Modeling (M-LDPM) for the Simulation of Shale Fracture Permeability

Abstract

A three-dimensional multiphysics lattice discrete particle model (M-LDPM) framework is formulated to investigate the fracture permeability behavior of shale. The framework features a dual lattice system mimicking the mesostructure of the material and simulates coupled mechanical and flow behavior. The mechanical lattice model simulates the granular internal structure of shale, and describes heterogeneous deformation by means of discrete compatibility and equilibrium equations. The network of flow lattice elements constitutes a dual graph of the mechanical lattice system. A discrete formulation of mass balance for the flow elements is presented to model fluid flow along cracks and intact materials. The overall computational framework is implemented with a mixed explicit–implicit integration scheme and a staggered coupling method that makes use of the dual lattice topology enabling the seamless two-way coupling of the mechanical and flow behaviors. The proposed model is used for the computational analysis of shale fracture permeability behavior by simulating triaxial direct shear tests on Marcellus shale specimens under various confining pressures. The simulated mechanical response is calibrated against the experimental data, and the predicted permeability values are also compared with the experimental measurements. Moreover, the paper presents the scaling analysis of both the mechanical response and permeability measurements basedmore » on simulations performed on geometrically similar specimens with increasing size. The simulated stress strain curves reflect a significant size effect in the post-peak due to the presence of localized fractures. The scaling analysis of permeability measurements enables prediction of permeability for large specimens by extrapolating the numerical results of small ones.« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3]; ORCiD logo [3]; ORCiD logo [1]
+ Show Author Affiliations
  1. Northwestern Univ., Evanston, IL (United States)
  2. ES3, San Diego, CA (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1525825
Report Number(s):
LA-UR-18-22183
Journal ID: ISSN 0723-2632
Grant/Contract Number:  
89233218CNA000001; AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Rock Mechanics and Rock Engineering
Additional Journal Information:
Journal Volume: 51; Journal Issue: 12; Journal ID: ISSN 0723-2632
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; Fracture permeability; Triaxial direct shear; Hydro-mechanical coupling; Lattice discrete particle model; Dual lattice

Citation Formats

Li, Weixin, Zhou, Xinwei, Carey, J. William, Frash, Luke P., and Cusatis, Gianluca. Multiphysics Lattice Discrete Particle Modeling (M-LDPM) for the Simulation of Shale Fracture Permeability. United States: N. p., 2018. Web. doi:10.1007/s00603-018-1625-8.
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Li, Weixin, Zhou, Xinwei, Carey, J. William, Frash, Luke P., & Cusatis, Gianluca. Multiphysics Lattice Discrete Particle Modeling (M-LDPM) for the Simulation of Shale Fracture Permeability. United States. https://doi.org/10.1007/s00603-018-1625-8
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Li, Weixin, Zhou, Xinwei, Carey, J. William, Frash, Luke P., and Cusatis, Gianluca. Thu . "Multiphysics Lattice Discrete Particle Modeling (M-LDPM) for the Simulation of Shale Fracture Permeability". United States. https://doi.org/10.1007/s00603-018-1625-8. https://www.osti.gov/servlets/purl/1525825.
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@article{osti_1525825,
title = {Multiphysics Lattice Discrete Particle Modeling (M-LDPM) for the Simulation of Shale Fracture Permeability},
author = {Li, Weixin and Zhou, Xinwei and Carey, J. William and Frash, Luke P. and Cusatis, Gianluca},
abstractNote = {A three-dimensional multiphysics lattice discrete particle model (M-LDPM) framework is formulated to investigate the fracture permeability behavior of shale. The framework features a dual lattice system mimicking the mesostructure of the material and simulates coupled mechanical and flow behavior. The mechanical lattice model simulates the granular internal structure of shale, and describes heterogeneous deformation by means of discrete compatibility and equilibrium equations. The network of flow lattice elements constitutes a dual graph of the mechanical lattice system. A discrete formulation of mass balance for the flow elements is presented to model fluid flow along cracks and intact materials. The overall computational framework is implemented with a mixed explicit–implicit integration scheme and a staggered coupling method that makes use of the dual lattice topology enabling the seamless two-way coupling of the mechanical and flow behaviors. The proposed model is used for the computational analysis of shale fracture permeability behavior by simulating triaxial direct shear tests on Marcellus shale specimens under various confining pressures. The simulated mechanical response is calibrated against the experimental data, and the predicted permeability values are also compared with the experimental measurements. Moreover, the paper presents the scaling analysis of both the mechanical response and permeability measurements based on simulations performed on geometrically similar specimens with increasing size. The simulated stress strain curves reflect a significant size effect in the post-peak due to the presence of localized fractures. The scaling analysis of permeability measurements enables prediction of permeability for large specimens by extrapolating the numerical results of small ones.},
doi = {10.1007/s00603-018-1625-8},
journal = {Rock Mechanics and Rock Engineering},
number = 12,
volume = 51,
place = {United States},
year = {Thu Oct 25 00:00:00 EDT 2018},
month = {Thu Oct 25 00:00:00 EDT 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/s00603-018-1625-8
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Cited by: 26 works
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Figures / Tables:

Figure 1 Figure 1: (a) Granular internal structure of Toarcian shale (Akono and Kabir, 2016). Spherical particles placed at the center of shale grains in (b) 2D and (e) 3D domains. (c) 2D and (f) 3D representations of Delaunay tetrahedralization connecting spherical particles. (d) 2D and (g) 3D representations of a domainmore » tessellation. (h) A 3D polyhedral cell representing a shale grain.« less
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    Works referencing / citing this record:

    A fluid‐solid coupling method for the simulation of gas transport in porous coal and rock media
    journal, June 2019

    • Zhang, Cun; Liu, Jinbao; Zhao, Yixin
    • Energy Science & Engineering, Vol. 7, Issue 5
    • DOI: 10.1002/ese3.400

    Size Effect Analysis for the Characterization of Marcellus Shale Quasi-brittle Fracture Properties
    journal, August 2018

    • Li, Weixin; Jin, Zhefei; Cusatis, Gianluca
    • Rock Mechanics and Rock Engineering, Vol. 52, Issue 1
    • DOI: 10.1007/s00603-018-1570-6
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