Peridynamics and surrogate modeling of pressure-driven well stimulation

Seidl, D. Thomas; Valiveti, Dakshina M.

doi:10.1016/j.ijrmms.2022.105105

Title: Peridynamics and surrogate modeling of pressure-driven well stimulation

Journal Article · Fri Apr 08 00:00:00 EDT 2022 · International Journal of Rock Mechanics and Mining Sciences

DOI:https://doi.org/10.1016/j.ijrmms.2022.105105· OSTI ID:1870476

Seidl, D. Thomas ^[1];

^[2]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
ExxonMobil Upstream Research Company, Spring, TX (United States)

In this work we use the peridynamics theory of solid mechanics to simulate fracture in an annular rock domain subject to an in-situ stress and create surrogate models that predict the area of the resulting cracks. Peridynamics is a non-local formulation of continuum mechanics that naturally accommodates material discontinuities. Furthermore, unlike other fracture modeling techniques there is no need to provide information about the crack path. We utilize the peridynamics code Peridigm and take a two-stage approach to fracture modeling. First an implicit solve is performed to compute the in-situ stress state. We then execute an explicit solve where a pressure loading designed to emulate fluid-driven hydraulic fracture is applied at the borehole and transmitted to the pre-stressed rock. We present results from polynomial and single and multi-level Gaussian process surrogate models constructed from a sampling study of the peridynamics model. The surrogates predict crack area given a measure of the in-situ stress anisotropy and rise time and amplitude of the pressure loading. These surrogates take a minuscule fraction of peridynamics model's running time to evaluate and are a step towards enabling advanced optimization and uncertainty quantification workflows that require many model evaluations.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; ExxonMobil

Grant/Contract Number:: NA0003525

OSTI ID:: 1870476

Report Number(s):: SAND2022-4211J; 704819

Journal Information:: International Journal of Rock Mechanics and Mining Sciences, Vol. 154; Related Information: CRADA with ExxonMobil; ISSN 1365-1609

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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