Abstract
The author presents two mathematical models for representing the trajectories of inclined oil-wells. The main tool is parametric quadratic splines approximation with free knots. Formulas for calculating the solutions are obtained explicitly and both models are compared.
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Bibliography
Mavliutov, M. R. "Tecnologia de perforación de pozos profundos" MIR, URSS, 1986 (from the original book in russian edited by Nedra, 1982).
Jimenez Pozo, M. A. "Modelación de las trayectorias de pozos inclinados de petroleo mediante splines paramétricos cuadráticos con extremos libres" To appear in Ciencias Matemáticas, Univ. of Havana, in spanish.
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© 1988 Springer-Verlag
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Pozo, M.A.J. (1988). On the trajectories of inclined oil-wells. In: Gómez-Fernandez, J.A., Guerra-Vázquez, F., López-Lagomasino, G., Jiménez-Pozo, M.A. (eds) Approximation and Optimization. Lecture Notes in Mathematics, vol 1354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089593
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DOI: https://doi.org/10.1007/BFb0089593
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