A three-dimensional solution of hydraulic fracture width for wellbore strengthening applications
投稿时间:2018-08-22  
英文关键词:Hydraulic fracture, Fracture width, Wellbore strengthening, Fracture propagation, 3-D modeling
基金项目:This work was partially supported by National Key R&D Program of China (2017YFC0804108) during the 13th Five-Year Plan Period, National Science Foundation of China (51774136), Natural Science Foundation of Hebei Province of China (D2017508099) and the Program for Innovative Research Team in the University sponsored by Ministry of Education of China (IRT-17R37). The authors wish to thank COMSOL Inc. to provide the Multiphysics FEM software for conducting this research.
作者单位
Jincai Zhang Sinopec Tech Houston, Houston, USA
North China Institute of Science and Technology, Yanjiao 065201, Hebei, China 
Shangxian Yin North China Institute of Science and Technology, Yanjiao 065201, Hebei, China 
摘要点击次数: 18
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英文摘要:
      Determining the width of an induced hydraulic fracture is the first step for applying wellbore strengthening and hydraulic fracturing techniques. However, current 2-D analytical solutions obtained from the plane strain assumption may have large uncertainties when the fracture height is small. To solve this problem, a 3-D finite element method (FEM) is used to model wellbore strengthening and calculate the fracture width. Comparisons show that the 2-D plane strain solution is the asymptote of the 3-D FEM solution. Therefore, the 2-D solution may overestimate the fracture width. This indicates that the 2-D solution may not be applicable in 3-D conditions. Based on the FEM modeling, a new 3-D semi-analytical solution for determining the fracture width is proposed, which accounts for the effects of 3-D fracture dimensions, stress anisotropy and borehole inclination. Compared to the 2-D solution, this new 3-D semi-analytical solution predicts a smaller fracture width. This implies that the 2-D-based old design for wellbore strengthening may overestimate the fracture width, which can be reduced using the proposed 3-D solution. It also allows an easy way to calculate the fracture width in complex geometrical and geological conditions. This solution has been verified against 3-D finite element calculations for field applications.
Jincai Zhang,Shangxian Yin,2019.A three-dimensional solution of hydraulic fracture width for wellbore strengthening applications.Petroleum Science,16(4):808~815.
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