Automated type-curve matching in well test analysis using Laplace space determination of parameter gradients

Proceedings - SPE Annual Technical Conference and Exhibition

Volumn 1983-October, Issue , 1983, Pages

  Rosa, A J ^a   Home, R N ^b  

^a PETROBRAS   (Brazil)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATION; BOREHOLES; CURVE FITTING; OIL FIELD EQUIPMENT; OIL WELLS; PARAMETER ESTIMATION; REGRESSION ANALYSIS; WELL TESTING;

ANALYTICAL EXPRESSIONS; BOUNDARY PARAMETERS; DETERMINATION OF PARAMETERS; NON-LINEAR REGRESSION; NON-LINEAR REGRESSION METHOD; NUMERICAL INVERSION; NUMERICAL LAPLACE TRANSFORM; RESERVOIR PARAMETERS;

LAPLACE TRANSFORMS;

EID: 85056996613     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (32)

1. Jones, P.: "Reservoir Limit Tests", Oil and Gas J. (June 18, 1956) 54, No. 59, 184.
2. Agarwal, R. G., Al-Hussainy, R. and Ramey, H. J., Jr.: "An Investigation of Wellbore Storage and Skin Effect in Unsteady Liquid Flow: I-Analytical Treatment", Soc. Pet. Eng. J. (September, 1970), 279;
3. Trans., AIME, 249.
4. Gringarten. A. C., Bourdet, D. P., Landel, P. A. and Kniazeff, V. J.: "A Comparison Between Different Skin and Wellbore Storage Type-Curves for Early-Time Transient Analysis", paper SPE 8205, presented at the SPE-AIME 54th Annual Technical Conference and Exhibition, Las Vegas, Nevada, September, 23-26, 1979.
5. Tariq, S. M.: A Study of the Behavior of Layered Reservoirs with Wellbore Storage and Skin Effect, Ph. D. Dissertation, Petroleum Engineering Department, Stanford University, September, 1977.
6. Jahns, H. O.: "A Rapid Method for Obtaining a Two-Dimensional Reservoir Description From Well Pressure Response Data", Soc. Pet. Eng. J. (December, 1966), 315;
7. Trans., AIME, 237.
8. Coats, K. H., Dempsey, J. R. and Henderson, J. H.: "A New Technique for Determining Reservoir Description from Field Performance Data", Soc. Pet. Eng. J. (March, 1970), 66;
9. Trans., AIME, 249.
10. Earlougher, R. C., Jr. and Kersch, K. M.: "Field Examples of Automatic Transient Test Analysis", J. Pet. Tech. (October, 1972), 1271.
11. Hernandez, V. M. and Swift, G. W.: "A Method for Determining Reservoir Parameters From Early Drawdown Data", paper SPE 3982 presented at the SPE-AIME 47th Annual Fall Meeting, San Antonio, Texas, October 8-11.
12. Chen, W. H., Gavalas, G. R., Seinfeld, J. H. and Wasserman, M. L.: "A New Algorithm for Automatic History Matching", SPE paper No. 4545, presented at the SPE-AIME 48th Annual Fall Meeting held in Las Vegas, Nevada, September 30-0ctober 3, 1973
13. Trans., AIME, 257.
14. Rodgers, J. S., Coble, L. E., Boybin, R. S. and Mokha, J. C.: "Nonlinear Well Test Analysis Reveals Reservoir Boundary Shape", Oil and Gas J. (September 14, 1981), 79, No. 37, 63.
15. Stehfest, H.: "Numerical Inversion of Laplace Transforms", Communications of the ACM (January, 1970), 13, No. 1, Algorithm 368.
16. Bard, Y.: Nonlinear Parameter Estimation, Academic Press, Inc. Ltd., New York, 1974.
17. Wylie, C. R.: Advanced Engineering Mathematics (4th edition), McGraw-Hill Book Company, New York, 1975.
18. Marquardt, D. W.: "An Algorithm for Least-Squares Estimation of Nonlinear Parameters", J. Soc. Indust. Appl. Math. (June, 1963), 11, No. 2.
19. Hartley, H. O.: "Exact Confidence Regions for the Parameters in Nonlinear Regression Laws", Biometrica (1964) 51, 347.
20. Earlougher, R. C, Jr. and Kersch, K. M.: "Analysis of Short-Time Transient Test Data by Type-Curve Matching", J. Pet. Tech. (July, 1974) 793;
21. Trans., AIME, 257.
22. Abramowitz, M. and Stegun, J. A., editors: Handbook of Mathematical Functions, Dover Publications, Inc., New York, 1970.
23. Afifi, A. A. and Azen. S. P.: Statistical Analysis - A Computer Oriented Approach (2nd edition), Academic Press, New York, 1979.
24. Churchill, R. V.: Operational Mathematics (3rd edition), McGraw-Hill Book Company, Inc., New York, 1972.
25. Earlougher, R. C, Jr.: Advances in Well Test Analysis, Monograph Series, Volume 5, SPE of AIME, Dallas, 1977.
26. Kennedy, W., Jr. and Gentle, J. E.: Statistical Computing, Marcel Dekker, Inc., New York, 1980.
27. Rosa, A. J.: "Automated Type Curve Matching in Well Test Analysis", M. S. Report, Stanford University, March, 1983.
28. Matthews, C. S. and Russel, D. G.: Pressure Buildup and Flow Tests in Wells, Monograph Series, Volume 1, SPE of AIME, Dallas, Texas, 1967.
29. Ramey, H. J., Jr.: "Short-Time Well Test Data Interpretation in the Presence of Skin Effect and Wellbore Storage", J. Pet. Tech., (January, 1970), 97;
30. Trans., AIME, 249.
31. Snedecor, G. W. and Cochran, W. G.: Statistical Methods (7th edition), The Iowa State University Press, Ames, Iowa, U. S. A., 1980.
32. Younger, M. S.: "A Handbook for Linear Regression Duxbury Press, North Scituak, Massachusetts, U. S. A., 1979.