A Hybrid Method for Solving the One-Dimensional Wave Equation of Tapered Sucker-Rod Strings
Jiaojian Yin,
Hongzhang Ma
Abstract:Simulating surface conditions by solving the wave equation of a sucker-rod string is the theoretical basis of a sucker-rod pumping system. To overcome the shortcomings of the conventional finite difference method and analytical solution, this work describes a novel hybrid method that combines the analytical solution with the finite difference method. In this method, an analytical solution of the tapered rod wave equation with a recursive matrix form based on the Fourier series is proposed, a unified pumping co… Show more
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