## Wave propagation in petroleum engineering: modern applications to drillstring vibrations, measurement-while-drilling, swab-surge, and geophysics |

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### Contents

Overview and Basic Ideas | 3 |

Kinematic Wave Theory | 55 |

Elementary Examples from Classical Mechanics | 88 |

Copyright | |

11 other sections not shown

### Common terms and phrases

acoustic amplitude analysis apply assumed attenuation axial vibrations bending vibrations bit bounce borehole boundary conditions Chapter Chin computed consider constant coupled damping density derivative described discontinuities discussed dispersion relation displacement source dissipation dk/dt downhole drill collar drillbit Drilling Conference drillpipe drillstring vibrations du/dt du/dx dx/dt effects eikonal equation elastic energy example excitation Fermat's Principle Figure finite difference flow fluid force formation formulation Fortran frequency group velocity IADC/SPE imax initial conditions integration Journal kinematic wave kinematic wave theory Laplace transforms lateral vibrations linear mathematical mechanical methods modes mud pulse telemetry neutral point nonlinear numerical obtained oscillations partial differential equation Petroleum Engineers physical pressure pulsers rate-of-penetration rock-bit interaction rotation satisfies signal simulation solution solved spatial speed static stick-slip stress string surface telemetry torque torsional vibrations transient transverse value problem vanishes variable viscous wave equation wave motions wave propagation wavenumber XXX XXX XXX