Title:
DIGITAL PRESSURE DERIVATIVE METHOD AND PROGRAM STORAGE DEVICE
Document Type and Number:
WIPO Patent Application WO2004063835
Kind Code:
A3
Abstract:
In a Digital Pressure Derivative Technique (DPDT) which uses convolution, an input signal including noise is convolved with a wavelet to produce an output signal which is a derivative of the input signal and which is substantially devoid of the noise. The DPDT can be used in many applications; however, in one such application, a pressure signal from a wellbore including noise is convolved with a special wavelet to produce an output signal which is the derivative of the input pressure signal, the output signal being substantially devoid of the noise. The wavelet is made from the unit sample response of a bandlimited, optimum linear phase Finite Impulse Response digital differentiator. The DPDT technique enables analysts to customize the differentiation based on the quality of the measured data without having to use traditional, subjective smoothing algorithms. The results presented here, in connection with the one such application mentioned above, bring significant improvements to the diagnosis and interpretation of pressure transient data, and interpretation techniques that utilize higher-order derivatives are now practical.
Inventors:
VENERUSO ANTHONY
SPATH JEFFREY
SPATH JEFFREY
Application Number:
PCT/IB2003/006498
Publication Date:
August 04, 2005
Filing Date:
December 20, 2003
Export Citation:
Assignee:
SCHLUMBERGER SERVICES PETROL (FR)
SCHLUMBERGER HOLDINGS (VG)
SCHLUMBERGER CA LTD (CA)
SCHLUMBERGER HOLDINGS (VG)
SCHLUMBERGER CA LTD (CA)
International Classes:
E21B47/06; G01V1/36; G06F17/10; H03H17/06; (IPC1-7): G06F17/10; E21B47/06; G01V1/36
Other References:
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ONUR M ET AL: "Comparison of derivative algorithms used in pressure transient analysis", THE ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, vol. 24, no. 1B, April 1999 (1999-04-01), pages 59 - 78, XP008048450
MURASE K ET AL: "A method for computing the derivative of noisy time-activity curves and its application to radioisotope dynamic analysis", PHYSICS IN MEDICINE AND BIOLOGY, vol. 35, no. 5, May 1990 (1990-05-01), UK, pages 633 - 647, XP002331503, ISSN: 0031-9155
WONG H ET AL: "One-dimensional signal processing techniques for airborne laser bathymetry", IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, vol. 32, no. 1, January 1994 (1994-01-01), IEEE INC, NY, USA, pages 35 - 46, XP002331504
RABINER L R ET AL: "On the behavior of minimax relative error FIR digital differentiators", THE BELL SYSTEM TECHNICAL JOURNAL, vol. 53, no. 2, February 1974 (1974-02-01), AMERICAN TELEPHONE AND TELEGRAPH COMPANY, USA, pages 333 - 361, XP008048486
MCCLELLAN J H ET AL: "A computer program for designing optimum FIR linear phase digital filters", IEEE TRANSACTIONS ON AUDIO AND ELECTROACOUSTICS, vol. AU-21, no. 6, December 1973 (1973-12-01), IEEE INC, NY, USA, pages 506 - 526, XP000990558
CARLSSON B ET AL: "Optimal differentiation based on stochastic signal models", IEEE TRANSACTIONS ON SIGNAL PROCESSING, vol. 39, no. 2, February 1991 (1991-02-01), IEEE INC, NY, USA, pages 341 - 353, XP002331505
EHLIG-ECONOMIDES C A ET AL: "A modern approach to reservoir testing", JOURNAL OF PETROLEUM TECHNOLOGY, vol. 42, no. 12, December 1990 (1990-12-01), SOCIETY OF PETROLEUM ENGINEERS, USA, pages 1554 - 1563, XP008048297
ONUR M ET AL: "Comparison of derivative algorithms used in pressure transient analysis", THE ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, vol. 24, no. 1B, April 1999 (1999-04-01), pages 59 - 78, XP008048450
MURASE K ET AL: "A method for computing the derivative of noisy time-activity curves and its application to radioisotope dynamic analysis", PHYSICS IN MEDICINE AND BIOLOGY, vol. 35, no. 5, May 1990 (1990-05-01), UK, pages 633 - 647, XP002331503, ISSN: 0031-9155
WONG H ET AL: "One-dimensional signal processing techniques for airborne laser bathymetry", IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, vol. 32, no. 1, January 1994 (1994-01-01), IEEE INC, NY, USA, pages 35 - 46, XP002331504
RABINER L R ET AL: "On the behavior of minimax relative error FIR digital differentiators", THE BELL SYSTEM TECHNICAL JOURNAL, vol. 53, no. 2, February 1974 (1974-02-01), AMERICAN TELEPHONE AND TELEGRAPH COMPANY, USA, pages 333 - 361, XP008048486
MCCLELLAN J H ET AL: "A computer program for designing optimum FIR linear phase digital filters", IEEE TRANSACTIONS ON AUDIO AND ELECTROACOUSTICS, vol. AU-21, no. 6, December 1973 (1973-12-01), IEEE INC, NY, USA, pages 506 - 526, XP000990558
CARLSSON B ET AL: "Optimal differentiation based on stochastic signal models", IEEE TRANSACTIONS ON SIGNAL PROCESSING, vol. 39, no. 2, February 1991 (1991-02-01), IEEE INC, NY, USA, pages 341 - 353, XP002331505
EHLIG-ECONOMIDES C A ET AL: "A modern approach to reservoir testing", JOURNAL OF PETROLEUM TECHNOLOGY, vol. 42, no. 12, December 1990 (1990-12-01), SOCIETY OF PETROLEUM ENGINEERS, USA, pages 1554 - 1563, XP008048297
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