A three-dimensional solution of hydraulic fracture width for wellbore strengthening applications
Abstract 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 smal...
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KeAi Communications Co., Ltd.
2019
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oai:doaj.org-article:cc77097ad54b400e9acf9e5cceefe2912021-12-02T15:23:07ZA three-dimensional solution of hydraulic fracture width for wellbore strengthening applications10.1007/s12182-019-0317-71672-51071995-8226https://doaj.org/article/cc77097ad54b400e9acf9e5cceefe2912019-05-01T00:00:00Zhttp://link.springer.com/article/10.1007/s12182-019-0317-7https://doaj.org/toc/1672-5107https://doaj.org/toc/1995-8226Abstract 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 ZhangShangxian YinKeAi Communications Co., Ltd.articleHydraulic fractureFracture widthWellbore strengtheningFracture propagation3-D modelingScienceQPetrologyQE420-499ENPetroleum Science, Vol 16, Iss 4, Pp 808-815 (2019) |
| institution |
DOAJ |
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DOAJ |
| language |
EN |
| topic |
Hydraulic fracture Fracture width Wellbore strengthening Fracture propagation 3-D modeling Science Q Petrology QE420-499 |
| spellingShingle |
Hydraulic fracture Fracture width Wellbore strengthening Fracture propagation 3-D modeling Science Q Petrology QE420-499 Jincai Zhang Shangxian Yin A three-dimensional solution of hydraulic fracture width for wellbore strengthening applications |
| description |
Abstract 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. |
| format |
article |
| author |
Jincai Zhang Shangxian Yin |
| author_facet |
Jincai Zhang Shangxian Yin |
| author_sort |
Jincai Zhang |
| title |
A three-dimensional solution of hydraulic fracture width for wellbore strengthening applications |
| title_short |
A three-dimensional solution of hydraulic fracture width for wellbore strengthening applications |
| title_full |
A three-dimensional solution of hydraulic fracture width for wellbore strengthening applications |
| title_fullStr |
A three-dimensional solution of hydraulic fracture width for wellbore strengthening applications |
| title_full_unstemmed |
A three-dimensional solution of hydraulic fracture width for wellbore strengthening applications |
| title_sort |
three-dimensional solution of hydraulic fracture width for wellbore strengthening applications |
| publisher |
KeAi Communications Co., Ltd. |
| publishDate |
2019 |
| url |
https://doaj.org/article/cc77097ad54b400e9acf9e5cceefe291 |
| work_keys_str_mv |
AT jincaizhang athreedimensionalsolutionofhydraulicfracturewidthforwellborestrengtheningapplications AT shangxianyin athreedimensionalsolutionofhydraulicfracturewidthforwellborestrengtheningapplications AT jincaizhang threedimensionalsolutionofhydraulicfracturewidthforwellborestrengtheningapplications AT shangxianyin threedimensionalsolutionofhydraulicfracturewidthforwellborestrengtheningapplications |
| _version_ |
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