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

Katiyar, Amit; Agrawal, Shivam; Ouchi, Hisanao; Seleson, Pablo; Foster, John T.; Sharma, Mukul M.

doi:10.1016/j.jcp.2019.109075

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

Journal Article · Mon Nov 04 04:00:00 EST 2019 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2019.109075· OSTI ID:1606953

Katiyar, Amit ^[1]; ^[1]; ^[1]; ^[2]; Foster, John T. ^[1]; Sharma, Mukul M. ^[1]

Univ. of Texas, Austin, TX (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: Joint Industry Program on Hydraulic Fracturing and Sand Control; USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1606953

Alternate ID(s):: OSTI ID: 1580010

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 402; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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