Evaluating a Simple Fracturing Criterion for a Hydraulic Fracture Crossing Stress and Stiffness Contrasts

doi:https://doi.org/10.1007/s00603-018-1679-7

Title: Evaluating a Simple Fracturing Criterion for a Hydraulic Fracture Crossing Stress and Stiffness Contrasts

Abstract

Hydraulic fracture height containment is a critical issue in the development of unconventional reservoirs. The extent of fracture height growth depends on a variety of factors, particularly stress and stiffness contrasts between adjacent layers. Accurate simulation of fracture growth and containment requires a reliable fracturing criterion. The virtual crack closure technique (VCCT) is a widely used method for computing energy release rate. However, it is based on the assumption that a small crack extension does not significantly alter the state of the crack tip, which is generally not the case when a fracture crosses strong stress and/or stiffness contrasts. In this work, we assess the applicability and accuracy of a modified virtual crack closure technique (MVCCT) for a fluid-driven fracture in breaking through interfaces with significant stress and/or stiffness contrasts, through comparisons with analytical and reference numerical solutions. Here, the results show that significant error could occur when the fracture tip is very near or at stress/stiffness interfaces. However, this error is localized to the interface and proves to be inconsequential to the predicted penetration depth into the rock layer beyond the interface. Finally, this study validates the applicability of MVCCT in 3D hydraulic fracturing simulation in strongly heterogeneous rockmore » formations.« less

Authors:

Huang, Jixiang ^[1];

^[1]; Settgast, Randolph R. ^[1]; Morris, Joseph P. ^[1]; Ryerson, Frederick J. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: 2018-12-03

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1513105

Report Number(s):: LLNL-JRNL-751676
Journal ID: ISSN 0723-2632; 937344

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Rock Mechanics and Rock Engineering

Additional Journal Information:: Journal Volume: 52; Journal Issue: 6; Journal ID: ISSN 0723-2632

Publisher:: Springer

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE

Citation Formats


                    Huang, Jixiang, Fu, Pengcheng, Settgast, Randolph R., Morris, Joseph P., and Ryerson, Frederick J. Evaluating a Simple Fracturing Criterion for a Hydraulic Fracture Crossing Stress and Stiffness Contrasts.  United States: N. p., 2018. 
        Web.  doi:10.1007/s00603-018-1679-7.

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                    Huang, Jixiang, Fu, Pengcheng, Settgast, Randolph R., Morris, Joseph P., & Ryerson, Frederick J. Evaluating a Simple Fracturing Criterion for a Hydraulic Fracture Crossing Stress and Stiffness Contrasts.  United States.  https://doi.org/10.1007/s00603-018-1679-7

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                    Huang, Jixiang, Fu, Pengcheng, Settgast, Randolph R., Morris, Joseph P., and Ryerson, Frederick J. Mon .  
        "Evaluating a Simple Fracturing Criterion for a Hydraulic Fracture Crossing Stress and Stiffness Contrasts".  United States.  https://doi.org/10.1007/s00603-018-1679-7.  https://www.osti.gov/servlets/purl/1513105.

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@article{osti_1513105,

  title        = {Evaluating a Simple Fracturing Criterion for a Hydraulic Fracture Crossing Stress and Stiffness Contrasts},

  author       = {Huang, Jixiang and Fu, Pengcheng and Settgast, Randolph R. and Morris, Joseph P. and Ryerson, Frederick J.},

  abstractNote = {Hydraulic fracture height containment is a critical issue in the development of unconventional reservoirs. The extent of fracture height growth depends on a variety of factors, particularly stress and stiffness contrasts between adjacent layers. Accurate simulation of fracture growth and containment requires a reliable fracturing criterion. The virtual crack closure technique (VCCT) is a widely used method for computing energy release rate. However, it is based on the assumption that a small crack extension does not significantly alter the state of the crack tip, which is generally not the case when a fracture crosses strong stress and/or stiffness contrasts. In this work, we assess the applicability and accuracy of a modified virtual crack closure technique (MVCCT) for a fluid-driven fracture in breaking through interfaces with significant stress and/or stiffness contrasts, through comparisons with analytical and reference numerical solutions. Here, the results show that significant error could occur when the fracture tip is very near or at stress/stiffness interfaces. However, this error is localized to the interface and proves to be inconsequential to the predicted penetration depth into the rock layer beyond the interface. Finally, this study validates the applicability of MVCCT in 3D hydraulic fracturing simulation in strongly heterogeneous rock formations.},

  doi          = {10.1007/s00603-018-1679-7},

  url          = {https://www.osti.gov/biblio/1513105},
  journal      = {Rock Mechanics and Rock Engineering},

  issn         = {0723-2632},

  number       = 6,

  volume       = 52,

  place        = {United States},

  year         = {2018},

  month        = {12}

}

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Works referenced in this record:

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Similar Records

Title: Evaluating a Simple Fracturing Criterion for a Hydraulic Fracture Crossing Stress and Stiffness Contrasts

Abstract

Citation Formats

Understanding Hydraulic Fracture Growth: Tricky but Not Hopeless conference, April 2013

Hydraulic Fracture Height Predictions in Laminated Shale Formations Using Finite Element Discrete Element Method conference, February 2016

A pseudo-3D model for hydraulic fracture growth in a layered rock journal, June 2017

Analysis of the classical pseudo-3D model for hydraulic fracture with equilibrium height growth across stress barriers journal, June 2010

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Simultaneous Multifracture Treatments: Fully Coupled Fluid Flow and Fracture Mechanics for Horizontal Wells journal, April 2015

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Effect of Formation Modulus Contrast on Hydraulic Fracture Height Containment journal, May 2008

Field relations between dikes and joints: Emplacement processes and paleostress analysis journal, January 1986

Hydraulic-Fracture-Height Growth Under the Combined Influence of Stress Barriers and Natural Fractures journal, February 2019

A Rigorous Hydraulic-Fracture Equilibrium-Height Model for Multilayer Formations journal, May 2018

Measurement of Induced Fractures by Downhole TV Camera in Black Warrior Basin Coalbeds journal, March 1991

Hydraulic Fracture Height Containment by Weak Horizontal Interfaces conference, February 2015

A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks journal, June 1968

Reinitiation or termination of fluid-driven fractures at frictional bedding interfaces: FLUID-DRIVEN FRACTURE GROWTH journal, August 2008

A fully coupled method for massively parallel simulation of hydraulically driven fractures in 3-dimensions: FULLY COUPLED PARALLEL SIMULATION OF HYDRAULIC FRACTURES IN 3-D journal, September 2016

Hydraulic-Fracture-Height Growth: Real Data journal, February 2012

A finite element calculation of stress intensity factors by a modified crack closure integral journal, January 1977

Calculation of Vertical Fracture Containment in Layered Formations journal, December 1987

Limited Height Growth and Reduced Opening of Hydraulic Fractures due to FractureOffsets: An XFEM Application conference, February 2014

Implementation of the virtual crack closure technique in engineering FE calculations journal, January 2007

A laminate composite with a crack normal to the interfaces journal, August 1971

A note on the scaling relations for opening mode fractures in rock journal, October 2010

Widths of Hydraulic Fractures journal, September 1961

Hydraulic Fracture Propagation in Layered Rock: Experimental Studies of Fracture Containment journal, February 1984

Optimization of Stimulation Design Through the Use of In-Situ Stress Determination journal, June 1983

Hydraulic Fracture Propagation in Layered Formations journal, February 1978

Virtual crack closure technique: History, approach, and applications journal, March 2004

Crack propagation in continuous media journal, January 1967

Progressive crack growth analysis using interface element based on the virtual crack closure technique journal, July 2006

In-Situ Stresses: The Predominant Influence on Hydraulic Fracture Containment journal, March 1982

Mixed Mode Cracking in Layered Materials book, January 1991

A Model of the Hydraulic Fracturing Process for Elongated Vertical Fractures and Comparisons of Results With Other Models conference, April 2013

Some Results From Continuum Mechanics Analyses of the Hydraulic Fracturing Process journal, April 1980

Hydraulic Fracture Geometry: Fracture Containment in Layered Formations journal, June 1982

An Interpretation of M-Site Hydraulic Fracture Diagnostic Results conference, April 2013

Interpretation of Fracturing Pressures journal, September 1981

Multiple Fluids, Proppant Transport, and Thermal Effects in Three-Dimensional Simulation of Hydraulic Fracturing conference, April 2013

Containment of Massive Hydraulic Fractures journal, February 1978

Scale Effects on Fracture Growth Resistance in Poroelastic Materials conference, April 2013

Layered Modulus Effects on Fracture Propagation, Proppant Placement, and Fracture Modeling conference, April 2013

Interface debonding ahead of a primary crack journal, October 2000

A comparison of methods for calculating energy release rates journal, January 1985

Finite elements for determination of crack tip elastic stress intensity factors journal, October 1971

Influence of Fracture Toughness on the Geometry of Hydraulic Fractures journal, November 1989

Modeling of Hydraulic-Fracture-Network Propagation in a Naturally Fractured Formation journal, November 2011

Fracture termination and step-over at bedding interfaces due to frictional slip and interface opening journal, February 2001

Generalized displacement correlation method for estimating stress intensity factors journal, July 2012

Laboratory Investigation on the -Effect of In-Situ Stresses on Hydraulic Fracture Containment journal, June 1982

Stresses in bonded materials with a crack perpendicular to the interface journal, August 1972

A Practical Numerical Simulator for Three-Dimensional Fracture Propagation in Heterogeneous Media conference, April 2013

A stiffness derivative finite element technique for determination of crack tip stress intensity factors journal, December 1974

Understanding Hydraulic Fracture Growth: Tricky but Not Hopeless
conference, April 2013

Hydraulic Fracture Height Predictions in Laminated Shale Formations Using Finite Element Discrete Element Method
conference, February 2016

A pseudo-3D model for hydraulic fracture growth in a layered rock
journal, June 2017

Analysis of the classical pseudo-3D model for hydraulic fracture with equilibrium height growth across stress barriers
journal, June 2010

Slippage and re-initiation of (hydraulic) fractures at frictional interfaces
journal, November 1984

Simultaneous Multifracture Treatments: Fully Coupled Fluid Flow and Fracture Mechanics for Horizontal Wells
journal, April 2015

Calculation of strain-energy release rates with higher order and singular finite elements
journal, January 1987

Effect of Formation Modulus Contrast on Hydraulic Fracture Height Containment
journal, May 2008

Field relations between dikes and joints: Emplacement processes and paleostress analysis
journal, January 1986

Hydraulic-Fracture-Height Growth Under the Combined Influence of Stress Barriers and Natural Fractures
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A Rigorous Hydraulic-Fracture Equilibrium-Height Model for Multilayer Formations
journal, May 2018

Measurement of Induced Fractures by Downhole TV Camera in Black Warrior Basin Coalbeds
journal, March 1991

Hydraulic Fracture Height Containment by Weak Horizontal Interfaces
conference, February 2015

A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
journal, June 1968

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journal, August 2008

A fully coupled method for massively parallel simulation of hydraulically driven fractures in 3-dimensions: FULLY COUPLED PARALLEL SIMULATION OF HYDRAULIC FRACTURES IN 3-D
journal, September 2016

Hydraulic-Fracture-Height Growth: Real Data
journal, February 2012

A finite element calculation of stress intensity factors by a modified crack closure integral
journal, January 1977

Calculation of Vertical Fracture Containment in Layered Formations
journal, December 1987

Limited Height Growth and Reduced Opening of Hydraulic Fractures due to FractureOffsets: An XFEM Application
conference, February 2014

Implementation of the virtual crack closure technique in engineering FE calculations
journal, January 2007

A laminate composite with a crack normal to the interfaces
journal, August 1971

A note on the scaling relations for opening mode fractures in rock
journal, October 2010

Widths of Hydraulic Fractures
journal, September 1961

Hydraulic Fracture Propagation in Layered Rock: Experimental Studies of Fracture Containment
journal, February 1984

Optimization of Stimulation Design Through the Use of In-Situ Stress Determination
journal, June 1983

Hydraulic Fracture Propagation in Layered Formations
journal, February 1978

Virtual crack closure technique: History, approach, and applications
journal, March 2004

Crack propagation in continuous media
journal, January 1967

Progressive crack growth analysis using interface element based on the virtual crack closure technique
journal, July 2006

In-Situ Stresses: The Predominant Influence on Hydraulic Fracture Containment
journal, March 1982

Mixed Mode Cracking in Layered Materials
book, January 1991

A Model of the Hydraulic Fracturing Process for Elongated Vertical Fractures and Comparisons of Results With Other Models
conference, April 2013

Some Results From Continuum Mechanics Analyses of the Hydraulic Fracturing Process
journal, April 1980

Hydraulic Fracture Geometry: Fracture Containment in Layered Formations
journal, June 1982

An Interpretation of M-Site Hydraulic Fracture Diagnostic Results
conference, April 2013

Interpretation of Fracturing Pressures
journal, September 1981

Multiple Fluids, Proppant Transport, and Thermal Effects in Three-Dimensional Simulation of Hydraulic Fracturing
conference, April 2013

Containment of Massive Hydraulic Fractures
journal, February 1978

Scale Effects on Fracture Growth Resistance in Poroelastic Materials
conference, April 2013

Layered Modulus Effects on Fracture Propagation, Proppant Placement, and Fracture Modeling
conference, April 2013

Interface debonding ahead of a primary crack
journal, October 2000

A comparison of methods for calculating energy release rates
journal, January 1985

Finite elements for determination of crack tip elastic stress intensity factors
journal, October 1971

Influence of Fracture Toughness on the Geometry of Hydraulic Fractures
journal, November 1989

Modeling of Hydraulic-Fracture-Network Propagation in a Naturally Fractured Formation
journal, November 2011

Fracture termination and step-over at bedding interfaces due to frictional slip and interface opening
journal, February 2001

Generalized displacement correlation method for estimating stress intensity factors
journal, July 2012

Laboratory Investigation on the -Effect of In-Situ Stresses on Hydraulic Fracture Containment
journal, June 1982

Stresses in bonded materials with a crack perpendicular to the interface
journal, August 1972

A Practical Numerical Simulator for Three-Dimensional Fracture Propagation in Heterogeneous Media
conference, April 2013

A stiffness derivative finite element technique for determination of crack tip stress intensity factors
journal, December 1974