A multi-resolution approach to hydraulic fracture simulation

Costa, Andre; Cusini, Matteo; Jin, Tao; Settgast, Randolph; Dolbow, John E.

doi:10.1007/s10704-022-00662-y

Title: A multi-resolution approach to hydraulic fracture simulation

Journal Article · 13 October 2022 · International Journal of Fracture

DOI: https://doi.org/10.1007/s10704-022-00662-y · OSTI ID:1892356

Costa, Andre; Cusini, Matteo; Jin, Tao; Settgast, Randolph;

Abstract We present a multi-resolution approach for constructing model-based simulations of hydraulic fracturing, wherein flow through porous media is coupled with fluid-driven fracture. The approach consists of a hybrid scheme that couples a discrete crack representation in a global domain to a phase-field representation in a local subdomain near the crack tip. The multi-resolution approach addresses issues such as the computational expense of accurate hydraulic fracture simulations and the difficulties associated with reconstructing crack apertures from diffuse fracture representations. In the global domain, a coupled system of equations for displacements and pressures is considered. The crack geometry is assumed to be fixed and the displacement field is enriched with discontinuous functions. Around the crack tips in the local subdomains, phase-field sub-problems are instantiated on the fly to propagate fractures in arbitrary, mesh independent directions. The governing equations and fields in the global and local domains are approximated using a combination of finite-volume and finite element discretizations. The efficacy of the method is illustrated through various benchmark problems in hydraulic fracturing, as well as a new study of fluid-driven crack growth around a stiff inclusion.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1892356

Report Number(s):: LLNL-JRNL-836744; PII: 662

Journal Information:: International Journal of Fracture, Journal Name: International Journal of Fracture Journal Issue: 1-2 Vol. 237; ISSN 0376-9429

Publisher:: Springer Science + Business MediaCopyright Statement

Country of Publication:: Netherlands

Language:: English

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