This paper introduces a predictive model for the stress and pressure evolutions in a wellbore cement liner at early ages. A pressure state equation is derived that observes the coupling of the elastic changes of the solid matrix, the eigenstress developments in the solid and porespaces, and the mass consumption of water in course of the reaction. Here, the transient constitution of the solid volume necessitates advancing the mechanical state of the poroelastic cement skeleton incrementally and at constant hydration degree. Next, analytic function theory is employed to assess the localization of stresses along the steel–cement (SC) and rock–cement (RC) interfaces by placing the casing eccentrically with respect to the wellbore hole. Though the energy release rate due to complete debonding of either interface is only marginally influenced by the eccentricity, the risk of evolving a microcrack along the thick portion of the sheath is substantially increased. Additionally, it is observed that the risk of microannulus formation is principally affected by the pressure rebound, which is engendered by the slowing reaction rate and amplified for rock boundaries with low permeability.
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September 2016
Research-Article
Early-Age Stress and Pressure Developments in a Wellbore Cement Liner: Application to Eccentric Geometries
Thomas Petersen,
Thomas Petersen
Department of Civil and
Environmental Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139
Environmental Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139
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Franz-Josef Ulm
Franz-Josef Ulm
Department of Civil and
Environmental Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139
Environmental Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139
Search for other works by this author on:
Thomas Petersen
Department of Civil and
Environmental Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139
Environmental Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139
Franz-Josef Ulm
Department of Civil and
Environmental Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139
Environmental Engineering,
Massachusetts Institute of Technology,
Cambridge, MA 02139
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received April 13, 2016; final manuscript received June 22, 2016; published online July 13, 2016. Editor: Yonggang Huang.
J. Appl. Mech. Sep 2016, 83(9): 091012 (11 pages)
Published Online: July 13, 2016
Article history
Received:
April 13, 2016
Revised:
June 22, 2016
Citation
Petersen, T., and Ulm, F. (July 13, 2016). "Early-Age Stress and Pressure Developments in a Wellbore Cement Liner: Application to Eccentric Geometries." ASME. J. Appl. Mech. September 2016; 83(9): 091012. https://doi.org/10.1115/1.4034013
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