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A New Mathematical Method for Solving Cuttings Transport Problem of Horizontal Wells: Ant Colony Algorithm
Joint Authors
Liu, Yongwang
Yu-ming, Liu
Heng-bin, Qiu
Yan-feng, Bai
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-29
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Cuttings transport problem has long been recognized as one of the key difficulties in drilling horizontal wells, and the models in cuttings transport research are usually formulated with highly nonlinear equations set.
When using Newton methods to solve real engineering problems with nonlinear equations set, the problems of result dependence on initial values, Jacobian matrix singularity, and variable outflow of its definition domain in iterations are three of the often-encountered difficulties.
In this paper, the ant colony algorithm is applied to solve the two-layer cuttings transport model with highly nonlinear equations set.
The solution-searching process of solving nonlinear equations set is transformed into an optimization process of searching the minimum value of an objective function by applying ant colony algorithm.
Analyzing the results of the example, it can be concluded that ant colony algorithm can be used to solve the highly nonlinear cuttings transport model with good solution accuracy; transforming the solution-searching process of solving nonlinear equations set into an optimization process of searching the minimum value of the objective function is necessary; the real engineering problem should be simplified as much as possible to decrease the number of unknown variables and facilitate the use of ant colony algorithm.
American Psychological Association (APA)
Liu, Yongwang& Yu-ming, Liu& Heng-bin, Qiu& Yan-feng, Bai. 2017. A New Mathematical Method for Solving Cuttings Transport Problem of Horizontal Wells: Ant Colony Algorithm. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1192018
Modern Language Association (MLA)
Liu, Yongwang…[et al.]. A New Mathematical Method for Solving Cuttings Transport Problem of Horizontal Wells: Ant Colony Algorithm. Mathematical Problems in Engineering No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1192018
American Medical Association (AMA)
Liu, Yongwang& Yu-ming, Liu& Heng-bin, Qiu& Yan-feng, Bai. A New Mathematical Method for Solving Cuttings Transport Problem of Horizontal Wells: Ant Colony Algorithm. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1192018
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192018