dc.contributor.author Gong, Z. dc.contributor.author Loxton, Ryan dc.contributor.author Yu, Changjun dc.contributor.author Teo, Kok Lay dc.date.accessioned 2017-01-30T11:30:30Z dc.date.available 2017-01-30T11:30:30Z dc.date.created 2016-02-03T19:30:17Z dc.date.issued 2016 dc.identifier.citation Gong, Z. and Loxton, R. and Yu, C. and Teo, K.L. 2016. Dynamic optimization for robust path planning of horizontal oil wells. Applied Mathematics and Computation. 274: pp. 711-725. dc.identifier.uri http://hdl.handle.net/20.500.11937/12397 dc.identifier.doi 10.1016/j.amc.2015.11.038 dc.description.abstract 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. dc.relation.sponsoredby http://purl.org/au-research/grants/arc/LP130100451 dc.title Dynamic optimization for robust path planning of horizontal oil wells dc.type Journal Article dcterms.source.volume 274 dcterms.source.startPage 711 dcterms.source.endPage 725 dcterms.source.issn 0096-3003 dcterms.source.title Applied Mathematics and Computation curtin.department Department of Mathematics and Statistics curtin.accessStatus Open access
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