An investigation of recent deconvolution methods for well-test data analysis

SPE Journal

Volumn 13, Issue 2, 2008, Pages 226-247

  Onur, Mustafa ^a   Çinar, Murat ^b   IIk, Dilhan ^c   Valkö, Peter P ^c   Blasingame, Tom A ^c   Hegeman, Peter ^d  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

^b STANFORD UNIVERSITY   (United States)

^c TEXAS A AND M UNIVERSITY   (United States)

^d SCHLUMBERGER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION ANALYSIS; WELL TESTING;

DECONVOLUTION METHOD; DECONVOLUTION PROBLEM; INDEPENDENT ASSESSMENT; ORIGINAL ALGORITHMS; PRODUCTION DATA ANALYSIS; RESERVOIR-PERFORMANCE DATA; SOLUTION METHODS; WELL TEST DATA;

DATA HANDLING;

EID: 48849087114     PISSN: 1086055X     EISSN: None     Source Type: Journal    
DOI: 10.2118/102575-PA     Document Type: Article

References (32)

1. Abate, J. and Valkó, P.P. 2004. Multi-Precision Laplace Transform Inversion. International Journal for Numerical Methods in Engineering 60 (5): 979-993. DOI: 10.1002/nme.995.
2. Abbaszadeh, M. and Cinco-Ley, H. 1995. Pressure-Transient Behavior in a Reservoir With a Finite-Conductivity Fault. SPEFE 10 (1): 26-32; Trans., SPE, 299. SPE-24704-PA. DOI: 10.2118 /24704-PA.
3. Agarwal, R.G. 1980. A New Method To Account for Production Time Effects When Drawdown Type Curves Are Used To Analyze Buildup and Other Test Data. Paper SPE 9289 presented at the SPE Annual Technical Conference and Exhibition, Dallas, 21-24 September. DOI: 10.2118/9289-MS.
4. Bard, Y. 1974. Nonlinear Parameter Estimation. New York City: Academic Press, Inc.
5. Baygun, B., Kuchuk, F.J., and Arikan, O. 1997. Deconvolution Under Normalized Autocorrelation Constraints. SPEJ 2 (3): 246-253. SPE-28405-PA. DOI: 10.2118/28405-PA.
6. Björck, Å. 1996. Numerical Methods for Least Square Problems. Philadelphia, Pennsylvania: Society for Industrial and Applied Mathematics.
7. Bourdet, D. 2002. Well Test Analysis: The Use of Advanced Interpretation Models. Amsterdam: Elsevier Science B.V.
8. Bourdet, D., Ayoub, J.A., and Pirard, Y.M. 1989. Use of Pressure Derivative in Well-Test Interpretation. SPEFE 4 (2): 293-302; Trans., SPE, 287. SPE-12777-PA. DOI: 10.2118/ 12777-PA.
9. Carvalho, R., Thompson, L.G., Redner, R., and Reynolds, A.C. 1996. Simple Procedures for Imposing Constraints for Nonlinear Least Squares Optimization. SPEJ 1 (4): 395-402. SPE-29582-PA. DOI: 10.2118/29582-PA.
10. Cheney, E.W. and Kincaid, D.R. 2003. Numerical Mathematics and Computing. Pacific Grove, California: Brooks Cole Publishing Company.
11. Çinar, M., Ilk, D., Onur, M., Valkó, P.P., and Blasingame, T.A. 2006. A Comparative Study of Recent Robust Deconvolution Algorithms for Well-Test and Production-Data Analysis. Paper SPE 102575 presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 24-27 September. DOI: 10.2118/102575-MS.
12. Coats, K.H., Rapoport, L.A., McCord, J.R., and Drews, W.P. 1964. Determination of Aquifer Influence Functions From Field Data. JPT 16 (12): 1417-1424; Trans., AIME, 231. SPE-897-PA. DOI: 10.2118/897-PA.
13. Dennis, J.E. and Schnabel, R.B. 1983. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Englewood Cliffs, New Jersey: Prentice-Hall Inc.
14. Earlougher, C.R. Jr. 1977. Advances in Well Test Analysis. Monograph Series, SPE, Richardson, Texas, 5.
15. Golub, G.H., Hansen, P.C., and O'Leary, D.P. 1999. Tikhonov Regularization and Total Least Squares. SIAM J. Matrix Anal. Appl. 21 (1): 185-194. DOI: 10.1137/S0895479897326432.
16. Hegeman, P.S., Hallford, D.L, and Joseph, J.A. 1993. Well Test Analysis With Changing Wellbore Storage. SPEFE 8 (3): 201-207; Trans., SPE, 295. SPE-21829-PA. DOI: 10.2118/21829-PA.
17. Hutchinson, T.S. and Sikora, V.J. 1959. A Generalized Water-Drive Analysis. Trans., AIME 216: 169-178. SPE-1123-G.
18. Ilk, D. 2005. Deconvolution of Variable Rate Reservoir Performance Data Using B-Splines. MS thesis, College Station, Texas: Texas A&M University.
19. Ilk, D., Valko, P.P., and Blasingame, T.A. 2006a. Deconvolution of Variable-Rate Reservoir-Performance Data Using B Splines. SPEREE 9 (4): 582-595. SPE-95571-PA. DOI: 10.2118/95571-PA.
20. Ilk, D., Anderson, D.M., Valko, P.P., and Blasingame, T.A. 2006b. Analysis of Gas-Well Reservoir Performance Data Using B-Spline Deconvolution. Paper SPE 100573 presented at the SPE Gas Technology Symposium, Calgary, 15-17 May. DOI: 10.2118/100573-MS.
21. Jargon J.R. and Van Poollen, H.K. 1965. Unit Response Function From Varying Rate Data. JPT 17 (8): 965-969; Trans., AIME, 234. SPE-981-PA. DOI: 10.2118/981-PA.
22. Kuchuk, F.J. 1990. Applications of Convolution and Deconvolution to Transient Well Tests. SPEFE 5 (4): 375-384; Trans., SPE, 289. SPE-16394-PA. DOI: 10.2118/16394-PA.
23. Kuchuk, F.J., Carter, R.G., and Ayestaran, L. 1990. Deconvolution of Wellbore Pressure and Flow Rate. SPEFE 5 (1): 53-59. SPE-13960-PA. DOI: 10.2118/13960-PA.
24. Kuchuk, F.J., Hollaender, F., Gok, I.M., and Onur, M. 2005. Decline Curves from Deconvolution of Pressure and Flow-Rate Measurements for Production Optimization and Prediction. Paper SPE 96002 presented at the SPE Annual Technical Conference and Exhibition, Dallas, 9-12 October. DOI: 10.2118/96002-MS.
25. Levitan, M.M. 2005. Practical Application of Pressure/Rate Deconvolution to Analysis of Real Well Tests. SPEREE 8 (2): 113-121. SPE-84290-PA. DOI: 10.2118/84290-PA.
26. Levitan, M.M., Crawford, G.E., and Hardwick, A. 2006. Practical Considerations for Pressure-Rate Deconvolution of Well-Test Data. SPEJ 11 (1): 35-47. SPE-90680-PA. DOI: 10.2118/90680-PA.
27. Onur, M. et al. 2007. Analysis of Well Tests in Afyon Ömer-Gecek Geothermal Field, Turkey. Proc., 32nd Workshop on Geothermal Reservoir Engineering, Stanford University, Stanford, California, 22-24 January.
28. Press, H. Flannery, B.P., Teukolsky, S.A., and Vetterling, W.T. 1986. Numerical Recipes: The Art of Scientific Computing. Cambridge, UK: Cambridge University Press.
29. Saphir Ver. 3.20.10. software. 2005. Sophia Antipolis, France: Kappa Engineering.
30. Thompson, L.G. and Reynolds, A.C. 1986. Analysis of Variable-Rate Well-Test Pressure Data Using Duhamel's Principle. SPEFE 1 (5): 453-469. SPE-13080-PA. DOI: 10.2118/13080-PA.
31. van Everdingen, A.F. and Hurst, W. 1949. The Application of the Laplace Transformation to Flow Problems in Reservoirs. Trans., AIME 186: 305-324. SPE-949305-G.
32. von Schroeter, T., Hollaender, F., and Gringarten, A.C. 2004. Deconvolution of Well Test Data as a Nonlinear Total Least-Squares Problem. SPEJ 9 (4): 375-390. SPE-77688-PA. DOI: 10.2118/ 77688-PA.