Analytical Method For Calculation of Temperature of The Produced Water In Geothermal Wells

Full Text(PDF, ) PP.12‐18


Author(s) 
F.P. Codo, A. Adomou and V. Adanhounmè 

KEYWORDS 
: Calculation of temperature; produced water, geothermal well, analytical approach . 

ABSTRACT 
As fluids move through a wellbore, there is a transfer of heat between the fluids and the earth due to the difference between the fluids and the geothermal temperatures. This type of heat transmission is involved in drilling and all producing operations. H. J. Ramey developed in 1962 an approach of solution which investigated the wellbore heat transmission to provide engineering methods useful in production and injection operations. Nowadays the energy production in the case of the renewable energies particularly in the case of the geothermal energy, which has generated a considerable interest the past few years , we need not only quantitative but qualitative knowledge of wellbore heat transfer too with the invention of computer technologies. This study, which presents a simple mathematical estimation of the temperature of produced geothermal hot water, is the refinements of the socalled Rameytheory. The solution supposes that the heat transfer in the wellbore is steadystate, while the transfer to the earth is unsteady radial conduction. Fields and calculated results of Hungarian production wells of Zsori4 and Bogács (417) , are presented and analyzed to establish the appropriateness and the usefulness of the study. 

References 

[1] Schlichting H. Boundary Layer Theory; NewYork, Mc Graw
Hill, 1968
[2] Knudsen J.G. – Katz D.L.: Fluid Dynamics and Heat transfer;
NewYork, Mc Graw Hill, 1958
[3] Pedlosky, J. Geophysical Fluid Dynamics. Springer. New York.
[4] C. Rogers and W. F. Ames, Nonlinear Boundary Value
Problems in Science and Engineering. Academic Press. New York.
1989.
[5] Roshenow W. M. –Hartnett J.P. Handbook of Heat transfer,
NewYork, Mc Graw Hill, 1973
[6] Carslaw H.S.Jaeger J.C.; Conduction of Heat in solids; Oxford
University Press, Amen House, London 1950
[7] Schneider L.S., Transfer of Heat in solids, Oxford University
Press, Amen House, London 1950
[8] Nowak T.J. The estimation of water injection profiles from
temperature surveys; Trans. AIME (1953) 198, 203
[9] Bird J.M. ; Interpretation of temperature Logs in water and gas
injection wells and gas producing wells; drilling and producing
Prac. (1954) 187
[10] Moss J.T. White P.D.; How to calculate temperature profiles
in a waterinjection sell; Oil and Gas journal, 1954; 11, 174
[11] H.J. Ramey, Jr ; Wellbore heat transmission; Journal of
petroleum Technology, April 1962
[12] T. Boldizsár; Bányászati kézykönyv IIII; Műszaki
Kőnyvkiado, Budapest 1956
[13] P{pai J.; Termelőkutak és vezetékek hőmérsékletviszonyai
stacionér {llapotban, Kőolaj és főldg{z, 1971
[14] Bobok E.; Geotermikus Energiatermelés, Tankőnyvkiadó ;
Budapest 1987
[15] B.P.DemidovichI.A.Maron; Computational Mathematics,
Editions MIR 1987
[16] C.R. Smith; Secondary oil recovery; Remhold Publishing
Corporation; New York, 1984
[17] A. Léontiev; Théorie des échanges de chaleur et de masse ;
Editions MIR, Moscou, 1987
[18] Pápai J.; A szénhidrogénkutak hőmérsékletviszonyai,
OMBKE, Budapest, 1984
[19] Bobok E.; Fluid Mechanics for Petroleum Engineers;
Akadémiai Kiadó, Budapest 1987


