skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media

Abstract

Herein a general state-based peridynamics model is developed to simulate transport of fluids in an arbitrary heterogeneous porous medium. The generality encompasses modeling of multiphase, multi-component flow of non-Newtonian and compressible fluids, which is often encountered in but not limited to subsurface reservoirs. Peridynamic model is especially useful for solving non-local problems, such as crack propagation, since it does not assume spatial continuity of field variables. Thus, the formulation presented here, combined with peridynamics-based damage model, can be used to simulate hydraulic fracturing with complex fluids. To demonstrate its capability to simulate multi-phase flow in porous media, the derived model is verified against the analytical Buckley-Leverett solution for immiscible Newtonian two-phase flow. Further, the non-Newtonian two-phase fluid flow in porous media is verified by simulating the polymer flood process involving immiscible displacement of a Newtonian fluid by a non-Newtonian fluid against a generalized solution obtained by Wu et al. The non-local solutions are shown to be consistent with the corresponding local solutions in limiting cases. Moreover, mass conservation of all the phases is satisfied, irrespective of discretization and extent of non-locality.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2];  [1];  [1]
  1. Univ. of Texas, Austin, TX (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
Joint Industry Program on Hydraulic Fracturing and Sand Control; USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1606953
Alternate Identifier(s):
OSTI ID: 1580010
Grant/Contract Number:  
AC05-00OR22725; FOA-0000724
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 402; Journal Issue: C; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Peridynamic theory; Non-local model; Transport in porous media; Multiphase flow; Heterogeneity; Fracture modeling

Citation Formats

Katiyar, Amit, Agrawal, Shivam, Ouchi, Hisanao, Seleson, Pablo, Foster, John T., and Sharma, Mukul M. A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media. United States: N. p., 2019. Web. doi:10.1016/j.jcp.2019.109075.
Katiyar, Amit, Agrawal, Shivam, Ouchi, Hisanao, Seleson, Pablo, Foster, John T., & Sharma, Mukul M. A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media. United States. doi:10.1016/j.jcp.2019.109075.
Katiyar, Amit, Agrawal, Shivam, Ouchi, Hisanao, Seleson, Pablo, Foster, John T., and Sharma, Mukul M. Mon . "A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media". United States. doi:10.1016/j.jcp.2019.109075.
@article{osti_1606953,
title = {A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media},
author = {Katiyar, Amit and Agrawal, Shivam and Ouchi, Hisanao and Seleson, Pablo and Foster, John T. and Sharma, Mukul M.},
abstractNote = {Herein a general state-based peridynamics model is developed to simulate transport of fluids in an arbitrary heterogeneous porous medium. The generality encompasses modeling of multiphase, multi-component flow of non-Newtonian and compressible fluids, which is often encountered in but not limited to subsurface reservoirs. Peridynamic model is especially useful for solving non-local problems, such as crack propagation, since it does not assume spatial continuity of field variables. Thus, the formulation presented here, combined with peridynamics-based damage model, can be used to simulate hydraulic fracturing with complex fluids. To demonstrate its capability to simulate multi-phase flow in porous media, the derived model is verified against the analytical Buckley-Leverett solution for immiscible Newtonian two-phase flow. Further, the non-Newtonian two-phase fluid flow in porous media is verified by simulating the polymer flood process involving immiscible displacement of a Newtonian fluid by a non-Newtonian fluid against a generalized solution obtained by Wu et al. The non-local solutions are shown to be consistent with the corresponding local solutions in limiting cases. Moreover, mass conservation of all the phases is satisfied, irrespective of discretization and extent of non-locality.},
doi = {10.1016/j.jcp.2019.109075},
journal = {Journal of Computational Physics},
issn = {0021-9991},
number = C,
volume = 402,
place = {United States},
year = {2019},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on November 4, 2020
Publisher's Version of Record

Save / Share: