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Mathematical Problems in Engineering
Volume 2013, Article ID 243670, 12 pages
Research Article

Propagation of Measurement-While-Drilling Mud Pulse during High Temperature Deep Well Drilling Operations

1State Key Laboratory of Oil and Gas Reservoir Geology and Exploration, School of Petroleum Engineering, Southwest Petroleum University, Chengdu 610500, China
2Drilling and Production Technology Institute, PetroChina Jidong Oilfield Company, Tangshan 063000, China

Received 19 January 2013; Accepted 8 April 2013

Academic Editor: Fazal M. Mahomed

Copyright © 2013 Hongtao Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Signal attenuates while Measurement-While-Drilling (MWD) mud pulse is transmited in drill string during high temperature deep well drilling. In this work, an analytical model for the propagation of mud pulse was presented. The model consists of continuity, momentum, and state equations with analytical solutions based on the linear perturbation analysis. The model can predict the wave speed and attenuation coefficient of mud pulse. The calculated results were compared with the experimental data showing a good agreement. Effects of the angular frequency, static velocity, mud viscosity, and mud density behavior on speed and attenuation coefficients were included in this paper. Simulated results indicate that the effects of angular frequency, static velocity, and mud viscosity are important, and lower frequency, viscosity, and static velocity benefit the transmission of mud pulse. Influenced by density behavior, the speed and attenuation coefficients in drill string are seen to have different values with respect to well depth. For different circulation times, the profiles of speed and attenuation coefficients behave distinctly different especially in lower section. In general, the effects of variables above on speed are seen to be small in comparison.