Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Modeling propellant-based stimulation of a borehole with peridynamics

Abstract

A non-local 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 propellant-based 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 in-situ 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 non-local 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 » 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 in-situ 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.« less

Authors:
 [1];  [1];  [2]
+ Show Author Affiliations
  1. ExxonMobil Research and Engineering, Annandale, NJ (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
ExxonMobil CRADA; USDOE
OSTI Identifier:
1356219
Alternate Identifier(s):
OSTI ID: 1397924
Report Number(s):
SAND-2015-11064J
Journal ID: ISSN 1365-1609; PII: S1365160917301089
Grant/Contract Number:  
AC04-94AL85000; AC04-94-AL85000
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 1365-1609
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Panchadhara, Rohan, Gordon, Peter A., and Parks, Michael L.. Modeling propellant-based stimulation of a borehole with peridynamics. United States: N. p., 2017. Web. doi:10.1016/j.ijrmms.2017.02.006.
Copy to clipboard
Panchadhara, Rohan, Gordon, Peter A., & Parks, Michael L.. Modeling propellant-based stimulation of a borehole with peridynamics. United States. https://doi.org/10.1016/j.ijrmms.2017.02.006
Copy to clipboard
Panchadhara, Rohan, Gordon, Peter A., and Parks, Michael L.. Mon . "Modeling propellant-based stimulation of a borehole with peridynamics". United States. https://doi.org/10.1016/j.ijrmms.2017.02.006. https://www.osti.gov/servlets/purl/1356219.
Copy to clipboard
@article{osti_1356219,
title = {Modeling propellant-based stimulation of a borehole with peridynamics},
author = {Panchadhara, Rohan and Gordon, Peter A. and Parks, Michael L.},
abstractNote = {A non-local 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 propellant-based 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 in-situ 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 non-local 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 in-situ 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}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.ijrmms.2017.02.006
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Hydraulic Fracturing: History of an Enduring Technology
journal, December 2010

  • Montgomery, Carl T.; Smith, Michael B.
  • Journal of Petroleum Technology, Vol. 62, Issue 12
  • DOI: 10.2118/1210-0026-JPT

Multiple Fracturing of Boreholes By Using Tailored-Pulse Loading
journal, December 1982

  • Swift, R. P.; Kusubov, A. S.
  • Society of Petroleum Engineers Journal, Vol. 22, Issue 06
  • DOI: 10.2118/9892-PA

Model studies of well stimulation using propellant charges
journal, April 1983

  • Fourney, W. L.; Barker, D. B.; Holloway, D. C.
  • International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 20, Issue 2
  • DOI: 10.1016/0148-9062(83)90330-3

Modeling fractures in rock blasting
journal, December 1997

  • Donzé, F. V.; Bouchez, J.; Magnier, S. A.
  • International Journal of Rock Mechanics and Mining Sciences, Vol. 34, Issue 8
  • DOI: 10.1016/S1365-1609(97)80068-8

On the fracture process in blasting
journal, May 1971

  • Kutter, H. K.; Fairhurst, C.
  • International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 8, Issue 3
  • DOI: 10.1016/0148-9062(71)90018-0

Influence of the applied pressure waveform on the dynamic fracture processes in rock
journal, July 2004

  • Cho, Sang Ho; Kaneko, Katsuhiko
  • International Journal of Rock Mechanics and Mining Sciences, Vol. 41, Issue 5
  • DOI: 10.1016/j.ijrmms.2004.02.006

A study of UDEC modelling for blast wave propagation in jointed rock masses
journal, January 1998

DEM–SPH simulation of rock blasting
journal, January 2014

Modeling of wave propagation induced by underground explosion
journal, April 1998

A generalized finite element method for the simulation of three-dimensional dynamic crack propagation
journal, January 2001

  • Duarte, C. A.; Hamzeh, O. N.; Liszka, T. J.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 190, Issue 15-17
  • DOI: 10.1016/S0045-7825(00)00233-4

Reformulation of elasticity theory for discontinuities and long-range forces
journal, January 2000

A meshfree method based on the peridynamic model of solid mechanics
journal, June 2005

Studies of dynamic crack propagation and crack branching with peridynamics
journal, January 2010

Characteristics of dynamic brittle fracture captured with peridynamics
journal, April 2011

Peridynamic States and Constitutive Modeling
journal, July 2007

Viscoplasticity using peridynamics
journal, January 2009

  • Foster, J. T.; Silling, S. A.; Chen, W. W.
  • International Journal for Numerical Methods in Engineering
  • DOI: 10.1002/nme.2725

Application of peridynamic stress intensity factors to dynamic fracture initiation and propagation
journal, June 2016

Implementing peridynamics within a molecular dynamics code
journal, December 2008

  • Parks, Michael L.; Lehoucq, Richard B.; Plimpton, Steven J.
  • Computer Physics Communications, Vol. 179, Issue 11
  • DOI: 10.1016/j.cpc.2008.06.011

Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995

Force flux and the peridynamic stress tensor
journal, April 2008

Numerical simulation of blasting-induced rock fractures
journal, September 2008

Numerical simulation of stress wave induced fractures in rock
journal, February 2012

An improved computational constitutive model for brittle materials
conference, January 1994

  • Johnson, Gordon R.; Holmquist, Tim J.
  • High-pressure science and technology—1993, AIP Conference Proceedings
  • DOI: 10.1063/1.46199

Numerical investigation of blasting-induced crack initiation and propagation in rocks
journal, April 2007

  • Zhu, Zheming; Mohanty, Bibhu; Xie, Heping
  • International Journal of Rock Mechanics and Mining Sciences, Vol. 44, Issue 3
  • DOI: 10.1016/j.ijrmms.2006.09.002
    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    An overview on advances in computational fracture mechanics of rock
    journal, March 2018

    Peridynamics review
    journal, October 2018

    • Javili, Ali; Morasata, Rico; Oterkus, Erkan
    • Mathematics and Mechanics of Solids, Vol. 24, Issue 11
    • DOI: 10.1177/1081286518803411
      Sort by:
      [ × clear filter / sort ]

      Similar Records in DOE PAGES and OSTI.GOV collections: