Journal of Computational Applied Mechanics

Thermal simulation of two-phase flow in under-balanced drilling operation with oil and gas production

Document Type : Research Paper

Authors

1 Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran

2 Department of Mechanical Engineering, Yasouj University, Yasouj, Iran

Abstract

The accurate prediction of wellbore temperature distribution helps to accurately estimate well pressure profile and bottom-hole pressure (BHP) which is important in the under-balanced drilling (UBD) operation. In this paper effect of temperature variation due to heat transfer of drilling fluid with the formation and also oil and gas production from the reservoir into the annulus in under-balanced drilling condition were investigated. Gas-liquid two-phase flow model considering thermal interaction with the formation is used to numerically simulate a well with real dimensions. Based on drilling fluids flow and heat transfer characteristics in wells, conservations of mass and momentum and energy equations have been developed to compute BHP and wellbore temperature and pressure profile. After temperature and pressure validation of the numerical model, the effect of heat transfer between drilling fluid inside the well and the formation was considered on the pressure distribution and bottom-hole pressure. The results of two-phase flow, considering thermal effect gives better results compared to two-phase flow with geothermal temperature distribution analysis and better accuracy in comparison with other models.

Keywords

Main Subjects

[1]           C. S. Holmes, S. C. Swift, Calculation of Circulating Mud Temperatures, 1970/6/1/, 1970.
[2]           H. J. Ramey, Jr., Wellbore Heat Transmission, 1962/4/1/, 1962.
[3]           L. R. Raymond, Temperature Distribution in a Circulating Drilling Fluid, 1969/3/1/, 1969.
[4]           F. C. Arnold, Temperature Variation in a Circulating Wellbore Fluid, Journal of Energy Resources Technology, Vol. 112, No. 2, pp. 79-83, 1990.
 
[5]           G. R. Wooley, Computing Downhole Temperatures in Circulation, Injection, and Production Wells, 1980/9/1/, 1980.
[6]           A. Garcia, I. Hernandez, G. Espinosa, E. Santoyo, TEMLOPI: a thermal simulator for estimation of drilling mud and formation temperatures during drilling of geothermal wells, Computers & Geosciences, Vol. 24, No. 5, pp. 465-477, 1998/06/15/, 1998.
[7]           A. R. Hasan, C. S. Kabir, Two-phase flow in vertical and inclined annuli, International Journal of Multiphase Flow, Vol. 18, No. 2, pp. 279-293, 1992/03/01/, 1992.
[8]           J. Fan, C. Gao, S. Taihe, H. Liu, Z. Yu, A Comprehensive Model and Computer Simulation for Underbalanced Drilling in Oil and Gas Wells, in SPE/ICoTA Coiled Tubing Roundtable, Houston, Texas, 2001.
[9]           B. Guo, A. Ghalambor, An Innovation in Designing Underbalanced Drilling Flow Rates: A Gas-Liquid Rate Window (GLRW) Approach, in IADC/SPE Asia Pacific Drilling Technology, Jakarta, Indonesia, 2002.
[10]         C. Perez-Tellez, Improved bottomhole pressure control for underbalanced drilling operations, 2003.
[11]         C. Perez-Tellez, J. R. Smith, J. K. Edwards, A New Comprehensive, Mechanistic Model for Underbalanced Drilling Improves Wellbore Pressure Predictions, in SPE International Petroleum Conference and Exhibition in Mexico, Villahermosa, Mexico, 2002.
[12]         L.-q. PING, Z.-m. WANG, J.-g. WEI, Pressure drop models for gas-liquid two-phase flow and its application in underbalanced drilling, Journal of Hydrodynamics, Ser. B, Vol. 18, No. 3, pp. 405-411, 2006.
[13]         E. Apak, E. Ozbayoglu, Heat distribution within the wellbore while drilling, Petroleum Science and Technology, Vol. 27, No. 7, pp. 678-686, 2009.
[14]         S. Ghobadpouri, Hajidavalloo, E., Noghrehabadi, A., Shekari, Y., Khezrian, Numerical simulation of under-balanced drilling operations with oil and gas production from reservoir using single pressure two-fluid model, Modares Mechanical Engineering, Vol. 16, No. 6, pp. 291-302, 2016 (in Persian)
[15]         X. Song, Z. Guan, Coupled modeling circulating temperature and pressure of gas–liquid two phase flow in deep water wells, Journal of Petroleum Science and Engineering, Vol. 92-93, pp. 124-131, 2012/08/01/, 2012.
[16]         S. Evje, T. Flåtten, Hybrid flux-splitting schemes for a common two-fluid model, Journal of Computational Physics, Vol. 192, No. 1, pp. 175-210, 2003.
[17]         M. Ishii, K. Mishima, Two-fluid model and hydrodynamic constitutive relations, Nuclear Engineering and design, Vol. 82, No. 2-3, pp. 107-126, 1984.
[18]         N. Hatta, H. Fujimoto, M. Isobe, J.-S. Kang, Theoretical analysis of flow characteristics of multiphase mixtures in a vertical pipe, International Journal of Multiphase Flow, Vol. 24, No. 4, pp. 539-561, 1998.
[19]         D. Drew, L. Cheng, R. Lahey Jr, The analysis of virtual mass effects in two-phase flow, International Journal of Multiphase Flow, Vol. 5, No. 4, pp. 233-242, 1979.
[20]         D. Bestion, The physical closure laws in the CATHARE code, Nuclear Engineering and design, Vol. 124, No. 3, pp. 229-245, 1990.
[21]         P. Dranchuk, H. Abou-Kassem, Calculation of Z factors for natural gases using equations of state, Journal of Canadian Petroleum Technology, Vol. 14, No. 03, 1975.
[22]         O. O. Harris, Evaluation of equivalent circulating density of drilling fluids under high pressure-high temperature conditions,  Thesis, University of Oklahoma, 2004.
[23]         D. Kim, Improved convective heat transfer correlations for two-phase two-component pipe flow, KSME international Journal, Vol. 16, No. 3, pp. 403-422, 2002.
[24]         M. Li, G. Liu, J. Li, T. Zhang, M. He, Thermal performance analysis of drilling horizontal wells in high temperature formations, Applied Thermal Engineering, Vol. 78, pp. 217-227, 2015.
[25]         D. Gao, Down-hole tubular mechanics and its applications, China University of Petroleum Press, Dongying, China, pp. 80-87, 2006.
[26]         O. Bratland, Pipe flow 2: multi-phase flow assurance, Ove Bratland Flow Assurance Consulting, Chonburi, Thailand, 2010.
Journal of Computational Applied Mechanics
Volume 49, Issue 2
December 2018
Pages 314-322
  • Receive Date: 12 March 2018
  • Revise Date: 29 April 2018
  • Accept Date: 06 May 2018