Modeling propellantbased stimulation of a borehole with peridynamics
Abstract
A nonlocal formulation of classical continuum mechanics theory known as peridynamics is used to study fracture initiation and growth from a wellbore penetrating the subsurface within the context of propellantbased stimulation. The principal objectives of this work are to analyze the influence of loading conditions on the resulting fracture pattern, to investigate the effect of insitu stress anisotropy on fracture propagation, and to assess the suitability of peridynamics for modeling complex fracture formation. In peridynamics, the momentum equation from the classical theory of solid mechanics is replaced by a nonlocal analogue, which results in an integrodifferential conservation equation. A continuum material is discretized with a set of material points that interact with all other points within a specified distance. Interactions between points are governed by bonds that can deform and break depending on loading conditions. The accumulated breakage of bonds gives rise to a picture of complex growth of fractures that is seen as a key advantage in the peridynamic representation of discontinuities. It is shown that the loading rate significantly influences the number and ex tent of fractures initiated from a borehole. Results show that low loading rates produce fewer but longer fractures, whereas high loading rates produce numerousmore »
 Authors:

 ExxonMobil Research and Engineering, Annandale, NJ (United States)
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Publication Date:
 Research Org.:
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Sponsoring Org.:
 ExxonMobil CRADA; USDOE
 OSTI Identifier:
 1356219
 Alternate Identifier(s):
 OSTI ID: 1397924
 Report Number(s):
 SAND201511064J
Journal ID: ISSN 13651609; PII: S1365160917301089
 Grant/Contract Number:
 AC0494AL85000; AC0494AL85000
 Resource Type:
 Accepted Manuscript
 Journal Name:
 International Journal of Rock Mechanics and Mining Sciences
 Additional Journal Information:
 Journal Volume: 93; Journal Issue: C; Journal ID: ISSN 13651609
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING
Citation Formats
Panchadhara, Rohan, Gordon, Peter A., and Parks, Michael L. Modeling propellantbased stimulation of a borehole with peridynamics. United States: N. p., 2017.
Web. doi:10.1016/j.ijrmms.2017.02.006.
Panchadhara, Rohan, Gordon, Peter A., & Parks, Michael L. Modeling propellantbased stimulation of a borehole with peridynamics. United States. doi:10.1016/j.ijrmms.2017.02.006.
Panchadhara, Rohan, Gordon, Peter A., and Parks, Michael L. Mon .
"Modeling propellantbased stimulation of a borehole with peridynamics". United States. doi:10.1016/j.ijrmms.2017.02.006. https://www.osti.gov/servlets/purl/1356219.
@article{osti_1356219,
title = {Modeling propellantbased stimulation of a borehole with peridynamics},
author = {Panchadhara, Rohan and Gordon, Peter A. and Parks, Michael L.},
abstractNote = {A nonlocal formulation of classical continuum mechanics theory known as peridynamics is used to study fracture initiation and growth from a wellbore penetrating the subsurface within the context of propellantbased stimulation. The principal objectives of this work are to analyze the influence of loading conditions on the resulting fracture pattern, to investigate the effect of insitu stress anisotropy on fracture propagation, and to assess the suitability of peridynamics for modeling complex fracture formation. In peridynamics, the momentum equation from the classical theory of solid mechanics is replaced by a nonlocal analogue, which results in an integrodifferential conservation equation. A continuum material is discretized with a set of material points that interact with all other points within a specified distance. Interactions between points are governed by bonds that can deform and break depending on loading conditions. The accumulated breakage of bonds gives rise to a picture of complex growth of fractures that is seen as a key advantage in the peridynamic representation of discontinuities. It is shown that the loading rate significantly influences the number and ex tent of fractures initiated from a borehole. Results show that low loading rates produce fewer but longer fractures, whereas high loading rates produce numerous shorter fractures around the borehole. The numerical method is able to predict fracture growth patterns over a wide range of loading and stress conditions. Our results also show that fracture growth is attenuated with increasing insitu confining stress, and, in the case of confining stress anisotropy, fracture extensions are largest in the direction perpendicular to the minimum compressive stress. Since the results are in broad qualitative agreement with experimental and numerical studies found in the literature, suggesting that peridynamics can be a powerful tool in the study of complex fracture network formation.},
doi = {10.1016/j.ijrmms.2017.02.006},
journal = {International Journal of Rock Mechanics and Mining Sciences},
number = C,
volume = 93,
place = {United States},
year = {2017},
month = {2}
}