Vol. 13, No. 1 (February 2000) 77-88   

downloaded Downloaded: 483   viewed Viewed: 2882

A. Laderian

Department of Mining Engineering
Isfahan University of Technology
Isfahan, Iran
( Received: March 04, 1998 – Accepted: September 30, 1999 )

Abstract    A mathematical model has been developed to predict the temperature distribution in wellbores either offshore or inshore. It is incorporated the different activities encountered during drilling operations. Furthermore, the effect of drill collar and casings and bit rotating in a well during completion has been considered. The two dimensional approach is presented in the form of a computer program which is adopted for solution of the finite difference equations describing the heat transmission in the wellbore in the form of a direct solution technique. The power law mode l has been selected for drilling mud and its indices have been calculated. Comparing measured data, recorded for a period of 82 hours during different activities in a drilling operation for 15/20A-4, an exploration well in the Central North Sea with calculated results, show there is a good agreement between the prediction and measured temperatures in the wellbore.


Keywords    Drilling , Casting, Mud, Formation, Temperature, Transient, Finite Difference



1. API, "New Cement Test Schedules Issued", Oil and Gas Journal, pp 179-182, (July, 1977).

2. Cooke, C. E., "Annular Pressure and Temperature Measurements Diagnose Cementing Operations", IADC/SPE 11416, pp 465-470, (February 20-23, 1983)

3. Venditto, J. J. and George C. R., "Better Wellbore Temperature Data Equals Better Cement Jobs", World Oil, pp 47-50, (February 1, 1984).

4. Jones, R. R., "A Novel Economical Approach for Accurate Real Time Measurement of Wellbore Temperatures", SPE 15577, pp 1-4, (October 5-8, 1986).

5. Farris, F. R., "A Practical Evaluation of Cements for Oil Wells", Oil and Gas Co, Tulsa, Okla, (1941).

6. Holmes, C. H. and Swift, S. C., "Calculation of Circulating Mud Temperatures", Journal of Petroleum Technology, pp 671-674, (June, 1970).

7. Edwardson, M. J., Girner, H. M., Parkison, H. R., Williams, C. D. and Mathews, C. S., "Calculation of Formation Temperature Disturbances Caused by Mud Circulation", Journal of Petroleum Technology, pp 416-426, (April, 1962).

8. Ramey, H. J., "Wellbore Heat Transmission", Journal of Petroleum Technology, pp 427-435, (April 1962, 1962).

9. Raymond, L. R., "Temperature Distribution in a Circulating Drilling Fluid ", Society of Petroleum Engineers Journal, pp 334-341, (March 12, 1969).

10. Bizanti, M. S. and Ruston La, "How Six Parameters Affect BRT During Circulation", Oil & Gas Journal, pp 44-45, (February 22, 1988).

11. Corre, B, Eymard, R. and Guenot, A., "Numerical Computation of Temperature Distribution in a Wellbore While Drilling", SPE 13208, pp 1-9 (September 16-19, 1984).

12. API Bulletin 13D, "The Rheology of Oilwell Drilling Fluids", (1980).

13. Incropera, F. P. and DE Witt, D. P., "Fundamentals of Heat and Mass Transfer", Second Edition, Published by John Wiley & Sons, Inc, (1985).

14. Thomas, L. C., "Fundamentals of Heat Transfer", Published by Prentice-Hall, Inc., pp 347, (1980).

15. Rabia, H., "Rig Hydraulics", Published by Athenaeum Press, Newcastle upon Tyne, (1989).

16. Hoberock, L. L., Thomas, D. C. and Nickens, H. V., "Here's How Compressibility and Temperature Affect Bottom-Hole Mud Pressure", Oil & Gas Journal, pp 159-164, (March 22, 1982).

17. Walker, R. E., "How to Predict Mud Performance", Oil and Gas Journal, pp 65-68, (March 30, 1964).

18. Zamora, M. and Bleier, R., "Prediction of Drilling Mud Rheology Using a Simplified Herschel-Bulkley Model", Journal of Pressure Vessel Technology, pp 485-490, (August 1977).

19. Houwen, O. H. and Geenhan, T., "Rheology of Oil-Base Muds", SPE 15416, pp 1-7, (October 5-8, 1986).

20. Robert son, R. and Stiff, H. A., "An Improved Mathematical Model for Relating Shear Stress to Shear Rate in Drilling Fluids and Cement" , SPE, Vol. 16, pp 31-36, (February 1976).

21. Beirute, R. M., "A Circulating and Shut Well Temperatures Profile Simulator", SPE 17591, pp 429-442, (November 1-4, 1988).

22. Minton, R. C. and Bern, P. A., "Field Measurement and Analysis of Circulating System Pressure Drops with Low-Toxicity Oil-based Drilling Flu ids", IADC/SPE 17242, pp 519-528, (February 28-March 2, 1988).

23. Sorelle, R. R., Jardiolin, A. and Buckley, P., "Mathematical Field Model Predicts Downhole Density Changes in Static Drilling Fluids", SPE 11118, pp 1-7, (September 26-29, 1982).

24. Kutasow, I. M., "Empirical Correlation Determines Downhole Mud Density", Oil & Gas Journal, pp 61-63, (December 12, 1988).

25. Wooley, G. R., "Computing Downhole Temperatures in Circulation, Injection, and Production Wells", SPE, pp 1509-1922, (September 1980).

26. Sullivan, W. N., "Wellbore Thermal Model", Research Paper, SAND-75-0491, Sandia Labs., Albuquerque, N. M., (1970).

27. Keller, H. H., Couch, E. J. and Berry, P. M., "Temperature Distribution in Circulating Mud Columns", Society of Petroleum Engineers Journal, pp 23-30, (February 1973).

28. Sump, G. D. and Williams, B. B., "Predict ion of Wellbore Temperature during Mud Circulation and Cementing Operations", Journal of Engineering for Industry, pp 1083-1092, (November 1973).

29. Charm, S. E. and Merrill, E. W., "Heat Transfer Coefficients in Straight Tubes for Pseudoplastic Food Materials in Streamline Flow", (1958).

30. Marshall, D. W., "A Computer Model to Determine the Temperature Distribution in A Wellbore", MSc. Thesis, Spring, Edmonton, Alberta (1980).

31. Bittleston, S. H., "A Two-Dimensional Simulator to predict Circulating Temperatures During Cementing Operations", SPE 20448, pp 443-454, (September 23-26, 1990).

32. Laderian, A., "Prediction of temperature profile in oil wells", New Castle Upon Tyne, PhD Thesis, (1991).




International Journal of Engineering
E-mail: office@ije.ir
Web Site: http://www.ije.ir