Dynamic optimization for robust path planning of horizontal oil wells
This paper considers the three-dimensional path planning problem for horizontal oil wells. The decision variables in this problem are the curvature, tool-face angle and switching points for each turn segment in the path, and the optimization objective is to minimize the path length and target error....
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
2016
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| Online Access: | http://purl.org/au-research/grants/arc/LP130100451 http://hdl.handle.net/20.500.11937/12397 |
| _version_ | 1848748065066844160 |
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| author | Gong, Z. Loxton, Ryan Yu, Changjun Teo, Kok Lay |
| author_facet | Gong, Z. Loxton, Ryan Yu, Changjun Teo, Kok Lay |
| author_sort | Gong, Z. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper considers the three-dimensional path planning problem for horizontal oil wells. The decision variables in this problem are the curvature, tool-face angle and switching points for each turn segment in the path, and the optimization objective is to minimize the path length and target error. The optimal curvatures, tool-face angles and switching points can be readily determined using existing gradient-based dynamic optimization techniques. However, in a real drilling process, the actual curvatures and tool-face angles will inevitably deviate from the planned optimal values, thus causing an unexpected increase in the target error. This is a critical challenge that must be overcome for successful practical implementation. Accordingly, this paper introduces a sensitivity function that measures the rate of change in the target error with respect to the curvature and tool-face angle of each turn segment. Based on the sensitivity function, we propose a new optimization problem in which the switching points are adjusted to minimize target error sensitivity subject to continuous state inequality constraints arising from engineering specifications, and an additional constraint specifying the maximum allowable increase in the path length from the optimal value. Our main result shows that the sensitivity function can be evaluated by solving a set of auxiliary dynamic systems. By combining this result with the well-known time-scaling transformation, we obtain an equivalent transformed problem that can be solved using standard nonlinear programming algorithms. Finally, the paper concludes with a numerical example involving a practical path planning problem for a Ci-16-Cp146 well. |
| first_indexed | 2025-11-14T06:59:07Z |
| format | Journal Article |
| id | curtin-20.500.11937-12397 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:59:07Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-123972022-11-28T04:51:49Z Dynamic optimization for robust path planning of horizontal oil wells Gong, Z. Loxton, Ryan Yu, Changjun Teo, Kok Lay This paper considers the three-dimensional path planning problem for horizontal oil wells. The decision variables in this problem are the curvature, tool-face angle and switching points for each turn segment in the path, and the optimization objective is to minimize the path length and target error. The optimal curvatures, tool-face angles and switching points can be readily determined using existing gradient-based dynamic optimization techniques. However, in a real drilling process, the actual curvatures and tool-face angles will inevitably deviate from the planned optimal values, thus causing an unexpected increase in the target error. This is a critical challenge that must be overcome for successful practical implementation. Accordingly, this paper introduces a sensitivity function that measures the rate of change in the target error with respect to the curvature and tool-face angle of each turn segment. Based on the sensitivity function, we propose a new optimization problem in which the switching points are adjusted to minimize target error sensitivity subject to continuous state inequality constraints arising from engineering specifications, and an additional constraint specifying the maximum allowable increase in the path length from the optimal value. Our main result shows that the sensitivity function can be evaluated by solving a set of auxiliary dynamic systems. By combining this result with the well-known time-scaling transformation, we obtain an equivalent transformed problem that can be solved using standard nonlinear programming algorithms. Finally, the paper concludes with a numerical example involving a practical path planning problem for a Ci-16-Cp146 well. 2016 Journal Article http://hdl.handle.net/20.500.11937/12397 10.1016/j.amc.2015.11.038 http://purl.org/au-research/grants/arc/LP130100451 fulltext |
| spellingShingle | Gong, Z. Loxton, Ryan Yu, Changjun Teo, Kok Lay Dynamic optimization for robust path planning of horizontal oil wells |
| title | Dynamic optimization for robust path planning of horizontal oil wells |
| title_full | Dynamic optimization for robust path planning of horizontal oil wells |
| title_fullStr | Dynamic optimization for robust path planning of horizontal oil wells |
| title_full_unstemmed | Dynamic optimization for robust path planning of horizontal oil wells |
| title_short | Dynamic optimization for robust path planning of horizontal oil wells |
| title_sort | dynamic optimization for robust path planning of horizontal oil wells |
| url | http://purl.org/au-research/grants/arc/LP130100451 http://hdl.handle.net/20.500.11937/12397 |