Well testing applications of numerical Laplace transformation of sampled-data

Conference · Tue Dec 31 04:00:00 EST 1996

OSTI ID:471937

Onur, M; Reynolds, A C

In recent years, the numerical Laplace transformation of sampled-data has proven to be useful for well test analysis applications. However, the success of this approach is highly dependent on the algorithms used to transform sampled-data into Laplace space and to perform the numerical inversion. In this work, we investigate several functional approximations (piecewise linear, quadratic, and log-linear) for sampled-data to achieve the {open_quotes}forward{close_quotes} Laplace transformation and present new methods to deal with the {open_quotes}tail{close_quotes} effects associated with transforming sampled-data. New algorithms that provide accurate transformation of sampled-data into Laplace space are provided. The algorithms presented can be applied to generate accurate pressure-derivatives in the time domain. Three different algorithms investigated for the numerical inversion of sampled-data. Applications of the algorithms to convolution, deconvolution, and parameter estimation in Laplace space are also presented. By using the algorithms presented here, it is shown that performing curve-fitting in the Laplace domain without numerical inversion is computationally more efficient than performing it in the time domain. Both synthetic and field examples are considered to illustrate the applicability of the proposed algorithms.

• OSTI ID: 471937
• Report Number(s): CONF-961003--
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
58 GEOSCIENCES
DATA ACQUISITION
DATA ANALYSIS
FIELD TESTS
LAPLACE EQUATION
OIL FIELDS
OIL WELLS