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Title: Prediction and demonstration of periodic tensile cracking in rate-dependent porous cement

Journal Article · · International Journal of Solids and Structures
 [1];  [2]; ORCiD logo [3];  [1]
  1. Univ. of Pittsburgh, PA (United States)
  2. Duke Univ., Durham, NC (United States)
  3. National Energy Technology Lab. (NETL), Morgantown, WV (United States)

Periodic dilation bands are shown to occur when cylinder-shaped saturated cement specimens are subjected to rapid decompression, with the spacing between the bands scaling as a power law of the decompression time. This behavior is predicted by theory, which is specified to this scenario based on prior work that was more general and applied to compaction. Specifically, the formation of the bands is shown to coincide with periodicity that naturally arises in the effective stress when the material follows a Terzaghi-type consolidation law, although in reverse for dilation and with material deformation described by a rate-dependent viscoplastic law. When strain rate is proportional to effective stress to a power that is greater than one, periodic regions of tensile effective stress arise through the poromechanical fluid-solid coupling. The theoretically-predicted exponent of the resulting power-law relationship between dilation band spacing and unloading time successfully brackets the experimental results, for which it is observed that the exponent is slightly stronger than a square-root relationship (0.28 to 0.67) at testing temperatures of 20 °C and 90 °C. Further, these results demonstrate that rapid-depressurization leads to periodic fracturing that could, on the one hand, be detrimental to the isolation provided by cement used to seal wellbores in the petroleum industry. On the other hand, the dilation bands could also be favorable to production if generated in low-permeability reservoir rocks such as shales that are targeted for petroleum production or granites that are targeted for geothermal energy.

Research Organization:
National Energy Technology Laboratory (NETL), Pittsburgh, PA, Morgantown, WV, and Albany, OR (United States)
Sponsoring Organization:
USDOE Office of Fossil Energy and Carbon Management (FECM), Office of Carbon Management; National Academy of Science and Mathematics Gulf Research Program (NASEM-GRP)
OSTI ID:
2396305
Journal Information:
International Journal of Solids and Structures, Journal Name: International Journal of Solids and Structures Vol. 285; ISSN 0020-7683
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (43)

Shear structures within deformed granites: Mechanical and thermal indicators journal January 1989
Undrained poroelastic response of sandstones to deviatoric stress change journal December 2002
Cnoidal waves in solids journal May 2015
Pure and shear-enhanced compaction bands in Aztec Sandstone journal December 2010
The Pore-Pressure Coefficients A and B journal December 1954
Chemical reaction capping of thermal instabilities during shear of frictional faults journal September 2010
Experimental investigation of shear band patterns in granular material journal August 2003
Formulation of a three-dimensional rate-dependent constitutive model for chalk and porous rocks
  • Hickman, R. J.; Gutierrez, M. S.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 31, Issue 4 https://doi.org/10.1002/nag.546
journal January 2007
Computational modeling of deformation bands in granular media. II. Numerical simulations journal July 2004
Semi-analytical solution for thermo-poro-elastic stresses in a wellbore cement plug and implications for cement properties that minimize risk of failure journal September 2023
General Theory of Three‐Dimensional Consolidation journal February 1941
Influence of pore pressure on the drilling response in low-permeability shear-dilatant rocks journal October 2000
Poroelastic response of a borehole in a non-hydrostatic stress field journal June 1988
Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) journal March 1965
Theoretical and experimental investigation of compaction bands in porous rock journal April 1999
Relationship between fracture area and tensile strength of cement paste with supplementary cementitious materials journal March 2015
Conditions for the localization of deformation in pressure-sensitive dilatant materials journal December 1975
Relationships between permeability and pore structure of hardened cement paste journal September 1981
Experimental quantification of the effect of oil based drilling fluid contamination on properties of wellbore cement journal July 2020
Localized failure modes in a compactant porous rock journal July 2001
Dilation bands: A new form of localized failure in granular media: DILATION BANDS journal December 2002
Multiscale coupling and multiphysics approaches in earth sciences: Applications journal September 2013
Association of macroscopic laboratory testing and micromechanics modelling for the evaluation of the poroelastic parameters of a hardened cement paste journal August 2010
Basic creep of hardened cement paste A re-examination of the role of water journal September 2000
Poromechanical behaviour of hardened cement paste under isotropic loading journal December 2008
Compaction localization in porous sandstones: spatial evolution of damage and acoustic emission activity journal April 2004
Experimental investigation of the early-age mechanical behaviour of oil-well cement paste journal March 2019
Basic creep of cement paste at early age - the role of cement hydration journal February 2019
A constitutive model for the stress–strain–time behaviour of ‘wet’ clays journal September 1985
Evolution of strain localisation with stress in a sandstone: Brittle and semi-brittle regimes journal January 2001
Fundamentals of Soil Mechanics journal January 1948
The Role of Stratigraphy and Loading History in Generating Complex Compaction Bands in Idealized Field‐Scale Settings journal February 2021
The effect of w/c ratio and curing temperature on the permeability of hardened cement paste journal July 1981
Evolution of damage zone geometry and intensity in porous sandstone: insight gained from strain energy density journal December 2005
Strain localization regularization and patterns formation in rate-dependent plastic materials with multiphysics coupling journal July 2021
A mechanical model for multiply-oriented conjugate deformation bands journal February 2004
The relationship between microseismicity and high pore pressures during hydraulic stimulation experiments in low permeability granitic rocks journal September 1981
Water permeability of cement paste journal September 1989
Deformation bands in sandstone: a review journal July 2007
External shapes, strain rates, and dynamics of salt structures journal January 1986
Conditions for compaction bands in porous rock journal September 2000
Compaction localization in porous rock journal November 2000
Constraints on geological strain rates: Arguments from finite strain states of naturally deformed rocks journal January 1982