Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling

Mathematical Modeling of Heat Transfer in Counter-Current Fluid Flow in Well-Drilling Systems

Authors
Liqun Shan, Boyun Guo
Corresponding Author
Liqun Shan
Available Online May 2016.
DOI
10.2991/amsm-16.2016.53How to use a DOI?
Keywords
temperature; gas-drilling; prediction; reservoirs; unconventional
Abstract

The performance of gas-drilling (drilling oil and gas wells with air, nitrogen, or natural gas) is very unpredictable in many areas due to lacking of proper design of drilling parameters because of limited understanding of gas-rock interaction which requires knowledge of heat transfer in the well system. Complete analysis of rock failure requires an accurate mathematical model to predict gas temperature at bottom hole. The currently available mathematical models are found not suitable to use for the purpose because they do not consider the effects of formation fluid influx, Joule-Thomason cooling, and entrained drill cuttings. A new analytical solution for predicting gas temperature profiles inside drill strings and in the annulus was derived in this study for gas-drilling, considering all of these three effects. The temperature profiles given by the new analytical solution are found significantly higher than that given by a previous analytical model. Results of sensitivity analyses show that formation fluid influx can significantly increase the temperature profiles in both the drill string and the annulus. The Joule-Thomason cooling effect lowers the temperature in the annulus only at the bottom hole. The drill cuttings entrained at the bottom hole can slightly increase the temperature profile in the annulus.

Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
Series
Advances in Computer Science Research
Publication Date
May 2016
ISBN
978-94-6252-198-8
ISSN
2352-538X
DOI
10.2991/amsm-16.2016.53How to use a DOI?
Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Liqun Shan
AU  - Boyun Guo
PY  - 2016/05
DA  - 2016/05
TI  - Mathematical Modeling of Heat Transfer in Counter-Current Fluid Flow in Well-Drilling Systems
BT  - Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
PB  - Atlantis Press
SP  - 233
EP  - 241
SN  - 2352-538X
UR  - https://doi.org/10.2991/amsm-16.2016.53
DO  - 10.2991/amsm-16.2016.53
ID  - Shan2016/05
ER  -