Well test analysis benefits from new method of Laplace space inversion

Journal Article · Mon Jul 20 04:00:00 EDT 1992 · Oil and Gas Journal; (United States)

OSTI ID:7045361

Wooden, B; Azari, M; Soliman, M ^[1]

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1. Halliburton Reservoir Services, Dallas, TX (US)

This paper reports that for modeling well test data more reliably, a new computer program easily and accurately inverts the Laplace transform. Converting real time and space solution to Laplace space is often done in the petroleum industry and provides the vehicle to develop numerous new solutions. The Laplace space transform is frequently used in pressure transient analysis primarily because it can reduce or transform a highly difficult problem into a much simpler one. Typically, a Laplace space equation can be manipulated by use of simple algebra to accomplish other desired ends, such as incorporating additional transformed equations to solve other aspects of the engineering problem. Once the transformed equation is complete, it is then necessary to convert to real time and space. This conversion is accomplished analytically by what is referred to as inverting the Laplace transform with sets of formulas and relationships between real and transformed space and time. In many cases, this inversion is not easy or cannot be done by conventional analytic means. In those situation, an engineer requires a program that numerically inverts the transform. The new program, the Azari-Wooden-Graver, or AWG method, has this capability.

• OSTI ID: 7045361
• Journal Information: Oil and Gas Journal; (United States), Journal Name: Oil and Gas Journal; (United States) Vol. 90:29; ISSN OIGJA; ISSN 0030-1388
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
020200* -- Petroleum-- Reserves
Geology
& Exploration
42 ENGINEERING
423000 -- Engineering-- Marine Engineering-- (1980-)
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CALCULATION METHODS
COMPUTER CODES
COMPUTERIZED SIMULATION
DRILLING
ENGINEERING
INDUSTRY
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
OIL WELLS
PETROLEUM INDUSTRY
RESERVOIR ENGINEERING
SIMULATION
TRANSFORMATIONS
WELL DRILLING
WELLS