3 April 2015 A frequency study of a clamped-clamped pipe immersed in a viscous fluid conveying internal steady flow for use in energy harvester development as applied to hydrocarbon production wells
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Abstract
Hydrocarbon extraction companies are seeking novel methods to generate and store power in down hole applications. Specifically, a robust energy harvesting system, capable of withstanding the harsh environmental and operational demands at the bottom of production wells, is desired to power commercially available well monitoring devices. The wide variety of well configurations makes this a challenging problem. Although some variables relating to the production tube are well defined by American Petroleum Institute standards, other variables may vary widely and be time dependent, such as annulus fluid properties. A first order task, then, is to characterize and understand the dynamics of a well through a study of changes in natural frequency over the broad range of inputs possessing moderate to high uncertainty.

This paper presents the results of an analytical frequency study which illustrates the effect of a select set of variables on the first natural frequency of a producing well. Specifically, axial force effects, fluid flow effects, and hydrodynamic effects, by means of a hydrodynamic function, are investigated. Due to the nature of the hydrodynamic function, the model is derived in the frequency domain and solved using the spectral element method.
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Eric Kjolsing, Eric Kjolsing, Michael Todd, Michael Todd, } "A frequency study of a clamped-clamped pipe immersed in a viscous fluid conveying internal steady flow for use in energy harvester development as applied to hydrocarbon production wells", Proc. SPIE 9435, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2015, 943505 (3 April 2015); doi: 10.1117/12.2084368; https://doi.org/10.1117/12.2084368
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