An analytical approach to the stress distribution around a cased borehole in an anisotropic formation

Wang，Hongwei1; Miao，Miao2; Zhou，Tao1

2022-07-01

10.1016/j.apm.2022.02.040

APPLIED MATHEMATICAL MODELLING   影响因子和分区

0307-904X

1872-8480

We present an explicit analytical approach for calculating the distribution of stress around a circular cased borehole in a discontinuous anisotropic formation. The borehole model is built on a pure elastic model with the assumption of the generalized plane strain, in which casing and cement rings are assumed to be isotropic, while formation is anisotropic. Also the borehole model is subject to arbitrary far-field stress, whose inner boundary between cement and formation is nonwelded. The accuracy and robustness of the approach is validated through comparing its results with those calculated from the existing classical solution, such as the Amadei solution for an isotropic example and the solution for an anisotropic cased borehole example based on the welded contact. The numerical examples show that within a certain range of the contact compliance, the formation's stress changes obviously.

Anisotropic formation Cased borehole Nonwelded Stress distribution

SCI ; EI

英语

其他

Program for Guangdong Introducing Innovative and Entrepreneurial Teams[2019ZT08G315] ; National Natural Science Foundation of China[52004161] ; Shenzhen Natural Science Founda-tion[JCYJ20210324093400001]

Engineering ; Mathematics ; Mechanics

Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics

WOS:000798289800006

ELSEVIER SCIENCE INC

20221211817807

Anisotropy ; Boreholes ; Cements ; Strain

Cement:412.1 ; Physical Properties of Gases, Liquids and Solids:931.2 ; Materials Science:951

ENGINEERING

2-s2.0-85126529705

Scopus

1.Guangdong Provincial Key Laboratory of Deep Earth Sciences and Geothermal Energy Exploitation and Utilization,Institute of Deep Earth Sciences and Green Energy,College of Civil and Transportation Engineering,Shenzhen University,Shenzhen,China
2.Department of Earth and Space Sciences,Southern University of Science and Technology,Shenzhen,China

Wang，Hongwei,Miao，Miao,Zhou，Tao. An analytical approach to the stress distribution around a cased borehole in an anisotropic formation[J]. APPLIED MATHEMATICAL MODELLING,2022,107:316-331.

Wang，Hongwei,Miao，Miao,&Zhou，Tao.(2022).An analytical approach to the stress distribution around a cased borehole in an anisotropic formation.APPLIED MATHEMATICAL MODELLING,107,316-331.

Wang，Hongwei,et al."An analytical approach to the stress distribution around a cased borehole in an anisotropic formation".APPLIED MATHEMATICAL MODELLING 107(2022):316-331.