Modeling of Wave Propagation in Drilling Fluid

[+] Author and Article Information
Mona Golbabaei-Asl

ASME Member, University of Akron, Mechanical Engineering Department, Akron, OH 44325-3903

Alex Povitsky

University of Akron, Mechanical Engineering Department, Akron, OH 44325-3903

Lev Ring

Weatherford International Inc., Technology Development, Houston, TX 77041-3000

1Corresponding author.

ASME doi:10.1115/1.4039565 History: Received October 11, 2016; Revised February 25, 2018


The study presents a one-dimensional numerical model of wave propagation as well as transmission/reflection phenomena in Newtonian and non-Newtonian drilling mud flow associated with oil/gas drilling activities. Propagation of wave formed due to back pressure changes by means of a choke is investigated. In general, the reflection and transmission of pressure waves at intersection of conduits with different cross sections or in case of partial blockage typical of drilling practices is multi- dimensional and caused by non-uniform boundary conditions over the cross section. The one-dimensional approach is investigated to approximate the multi-dimensional reflection and transmission of pressure pulses at areal discontinuity in conduit. The approach is facilitated by introduction of a local force exerted by solid wall on the fluid at the intersection of the conduits into conservative form of conservation of momentum equation. In addition, non-conservative formulation of momentum equation was explored. To solve the differential equations, MacCormack numerical scheme with second-order accuracy is applied to the non-linear Euler and 1-D viscous conservation equations. A grid refinement study is performed. It is shown that non-conservative form of the conservation laws results in more accurate prediction of transmission and reflection in case of areal discontinuity. The results of the numerical modeling are presented in terms of pressure wave propagation and attenuation upon reflection and transmission at consequent interfaces.

Copyright (c) 2018 by ASME
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