A Model of Planar Borehole Propagation

DOI10.1137/16M1094518zbMath1378.37127OpenAlexW2736038251MaRDI QIDQ5278049

Julien Marck, Luc Perneder, Emmanuel Detournay

Publication date: 13 July 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1094518

zbMATH Keywords

delay differential equationdirectional drillingself-excited oscillation

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15) Soil and rock mechanics (74L10) Oscillation theory of functional-differential equations (34K11)

Cites Work

• Semi-discretization for time-delay systems. Stability and engineering applications.
• Theory of functional differential equations. 2nd ed
• Eulerian formulation of constrained elastica
• Operations on the Physical Components of Tensors
• Stability and Stabilization of Time-Delay Systems
• Applied Delay Differential Equations

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