Nonlinear regression: The information content of pressure and pressure-derivative data

SPE Journal

Volumn 7, Issue 3, 2002, Pages 243-249

  Onur, Mustafa ^a   Reynolds, Albert C ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; MEASUREMENT ERRORS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; PRESSURE; REGRESSION ANALYSIS;

COVARIANCE MATRIX; NONLINEAR REGRESSION; PRESSURE-DERIVATIVE DATA;

PETROLEUM RESERVOIRS;

EID: 0036745775     PISSN: 1086055X     EISSN: None     Source Type: Journal    
DOI: 10.2118/79582-PA     Document Type: Article

References (21)

1. Bourdet, D., et al.: "A New Set of Type Curve Simplifies Well Test Analysis," World Oil (May 1983) 95.
2. Bourdet, D.P., Ayoub, J.A., and Pirard, Y.M.: "Use of Pressure Derivative in Well-Test Interpretation," SPEFE (June 1989) 293
3. Bourdet, D.P., Ayoub, J.A., and Pirard, Y.M.: "Use of Pressure Derivative in Well-Test Interpretation," Trans., AIME, 287.
4. Barua, J., Kuchuk, F., and Gomez-Angulo, J.: "Application of Computers in the Analysis of Well Tests From Fractured Reservoirs," paper SPE 13662 presented at the 1985 SPE California Regional Meeting, Bakersfield, California, 27-29 March.
5. Carvalho, R.S.: "Nonlinear Regression: Application to Well Test," PhD dissertation, U. of Tulsa (1993).
6. Carvalho, R.S. et al.: "Robust Procedures for Parameter Estimation by Automated Type-Curve Matching," paper SPE 24732 presented at the 1992 SPE Annual Technical Conference and Exhibition, Washington, DC, 4-7 October.
7. Horne, R.N.: Modern Well Test Analysis-A Computer-Aided Approach, second edition, Petroway Inc., Palo Alto, California (1995) 191.
8. Rahon, D., Edoa, P.F., and Masmoudi, M.: "Inversion of Geological Shapes in Reservoir Engineering Using Well-Tests and History Matching of Production Data," paper SPE 38656 presented at the 1997 SPE Annual Technical Conference and Exhibition, San Antonio, 5-8 October.
9. Watson, A.T., Lane, H.S., and Gatens, J.M. III. "History Matching With Cumulative Production Data," JPT (January 1990) 96.
10. Bard, Y.: Nonlinear Parameter Estimation, Academic Press Inc., New York City (1974) 184.
11. Onur, M. and Al-Saddique, M.: "Comparison of Derivative Algorithms Used in Pressure Transient Analysis," The Arabian Journal for Science and Engineering (April 1999) 24, No. 1B, 59.
12. Strang, G.: Linear Algebra and Its Applications, third edition, Harcourt Brace Jovanovich Inc., New York City (1988) 90.
13. Dogru, A.H., Dixon, T.N., and Edgar, T.F.: "Confidence Limits on the Parameters and Predictions of Slightly Compressible, Single Phase Reservoirs," SPEJ (February) 1977
14. Dogru, A.H., Dixon, T.N., and Edgar, T.F.: "Confidence Limits on the Parameters and Predictions of Slightly Compressible, Single Phase Reservoirs," Trans., AIME, 263.
15. Fletcher, R.: Practical Methods of Optimization, John Wiley & Sons, New York City (1987) 101.
16. Carvalho R. et al.: "Simple Procedures for Imposing Constraints for Nonlinear Least Squares Optimization," SPEJ (December 1996) 395.
17. Onur, M. and Reynolds, A.C.: Pressure Derivative Matching in Nonlinear Regression, TUPREP Report, U. of Tulsa (May 2001).
18. Warren, J.E. and Root, P.J.: "The Behavior of Naturally Fractured Reservoirs," SPEJ (Sept. 1963) 245
19. Warren, J.E. and Root, P.J.: "The Behavior of Naturally Fractured Reservoirs," Trans., AIME, 228.
20. Stehfest, H.: "Numerical Inversion of Laplace Transforms," Communications of the ACM (Jan. 1970) 13, No. 1, 47.
21. Onur, M. and Reynolds, A.: "A New Approach for Constructing Derivative Type Curves for Well Test Analysis," SPEFE (March 1988) 197.