Transient Stress Distribution and Failure Response of a Wellbore Drilled by a Periodic Load

The poroelastodynamic failure of a wellbore due to periodic loading during drilling is an unsolved problem. The conventional poroelastic method to calculate the stress distribution around wellbore is for static loading cases and cannot be used for short-time dynamic-loading cases which result in wav...

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Main Authors: Xiaoyang Wang, Mian Chen, Yang Xia, Yan Jin, Shunde Yin
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/12/18/3486
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author Xiaoyang Wang
Mian Chen
Yang Xia
Yan Jin
Shunde Yin
author_facet Xiaoyang Wang
Mian Chen
Yang Xia
Yan Jin
Shunde Yin
author_sort Xiaoyang Wang
collection DOAJ
description The poroelastodynamic failure of a wellbore due to periodic loading during drilling is an unsolved problem. The conventional poroelastic method to calculate the stress distribution around wellbore is for static loading cases and cannot be used for short-time dynamic-loading cases which result in wave propagation in the formation. This paper formulates a poroelastodynamic model to characterize dynamic stress and pressure wave due to periodic loadings and to analyze the transient failure of the suddenly drilled wellbore in a non-hydrostatic stress field. The fully coupled poroelastodynamic model was developed based on the equations of motion, fluid flow and constitutive equations to reflect stress and pressure waves that resulted from a periodic stress perturbation at the wellbore surface. The model was analytically solved by means of field expansions of the solutions, by performing a Laplace transform as well as some special techniques. Simulation results show that the pressure and stress responses inside the formation resemble a damped oscillator where the amplitude decays as the distance to wellbore increases. Especially the potential shear failure zone around the wellbore was computed and plotted. Influences of poroelastic parameters, in-situ stress and periodic load parameters on the shear failure responses were analyzed in a detailed parametric study, and the results provide fundamental insights into wellbore stability maintenance in different reservoirs.
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spelling doaj.art-80c74e8b633d47a0a529f31b78ecfcd22022-12-22T01:56:29ZengMDPI AGEnergies1996-10732019-09-011218348610.3390/en12183486en12183486Transient Stress Distribution and Failure Response of a Wellbore Drilled by a Periodic LoadXiaoyang Wang0Mian Chen1Yang Xia2Yan Jin3Shunde Yin4State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, ChinaState Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, ChinaState Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, ChinaState Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, ChinaDepartment of Civil and Environmental Engineering, University of Waterloo, Waterloo, ON N2L 3G1, CanadaThe poroelastodynamic failure of a wellbore due to periodic loading during drilling is an unsolved problem. The conventional poroelastic method to calculate the stress distribution around wellbore is for static loading cases and cannot be used for short-time dynamic-loading cases which result in wave propagation in the formation. This paper formulates a poroelastodynamic model to characterize dynamic stress and pressure wave due to periodic loadings and to analyze the transient failure of the suddenly drilled wellbore in a non-hydrostatic stress field. The fully coupled poroelastodynamic model was developed based on the equations of motion, fluid flow and constitutive equations to reflect stress and pressure waves that resulted from a periodic stress perturbation at the wellbore surface. The model was analytically solved by means of field expansions of the solutions, by performing a Laplace transform as well as some special techniques. Simulation results show that the pressure and stress responses inside the formation resemble a damped oscillator where the amplitude decays as the distance to wellbore increases. Especially the potential shear failure zone around the wellbore was computed and plotted. Influences of poroelastic parameters, in-situ stress and periodic load parameters on the shear failure responses were analyzed in a detailed parametric study, and the results provide fundamental insights into wellbore stability maintenance in different reservoirs.https://www.mdpi.com/1996-1073/12/18/3486periodic stresswellbore instabilityporoelastodynamicsshear failure
spellingShingle Xiaoyang Wang
Mian Chen
Yang Xia
Yan Jin
Shunde Yin
Transient Stress Distribution and Failure Response of a Wellbore Drilled by a Periodic Load
Energies
periodic stress
wellbore instability
poroelastodynamics
shear failure
title Transient Stress Distribution and Failure Response of a Wellbore Drilled by a Periodic Load
title_full Transient Stress Distribution and Failure Response of a Wellbore Drilled by a Periodic Load
title_fullStr Transient Stress Distribution and Failure Response of a Wellbore Drilled by a Periodic Load
title_full_unstemmed Transient Stress Distribution and Failure Response of a Wellbore Drilled by a Periodic Load
title_short Transient Stress Distribution and Failure Response of a Wellbore Drilled by a Periodic Load
title_sort transient stress distribution and failure response of a wellbore drilled by a periodic load
topic periodic stress
wellbore instability
poroelastodynamics
shear failure
url https://www.mdpi.com/1996-1073/12/18/3486
work_keys_str_mv AT xiaoyangwang transientstressdistributionandfailureresponseofawellboredrilledbyaperiodicload
AT mianchen transientstressdistributionandfailureresponseofawellboredrilledbyaperiodicload
AT yangxia transientstressdistributionandfailureresponseofawellboredrilledbyaperiodicload
AT yanjin transientstressdistributionandfailureresponseofawellboredrilledbyaperiodicload
AT shundeyin transientstressdistributionandfailureresponseofawellboredrilledbyaperiodicload