The oil industry trend to deep formation exploration has increased technological challenges to drill. In general, the effects of variables above on speed are seen to be small in comparison. For different circulation times, the profiles of speed and attenuation coefficients behave distinctly different especially in lower section. Influenced by density behavior, the speed and attenuation coefficients in drill string are seen to have different values with respect to well depth.
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. Effects of the angular frequency, static velocity, mud viscosity, and mud density behavior on speed and attenuation coefficients were included in this paper. The calculated results were compared with the experimental data showing a good agreement. The model can predict the wave speed and attenuation coefficient of mud pulse.
![pulsa telemetry pulsa telemetry](https://pbs.twimg.com/media/Ef3n4bgX0AIonyi.jpg)
The model consists of continuity, momentum, and state equations with analytical solutions based on the linear perturbation analysis. In this work, an analytical model for the propagation of mud pulse was presented. Signal attenuates while Measurement-While-Drilling (MWD) mud pulse is transmited in drill string during high temperature deep well drilling.