Automated Type Curve Matching in Well Test Analysis

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Abstract/Contents

Abstract
This report presents an investigation on automatic methods of type curve matching for the interpretation of well test data. With these methods the analysis can be done by a digital computer rather than by an eye-ball fit. Analysis of drawdown data for single or multi-layer systems, finite or infinite acting reservoirs,with or without wellbore storage and skin were investigated.The main purpose of a well test analysis is to estimate the reservoir and well parameters. The case including storage effects in the wellbore yields a solution to the governing equations which is nonlinear in the reservoir parameters. Our problem turns out to be a nonlinear parameter estimation or, in other words, a nonlinear regression analysis.The solution for the pressure drop at the wellbore was obtained by the Laplace Transform method. The real values of pressure drops were evaluated by numerical inversion. Also the parameter gradients necessary to implement the regression technique were determined in Laplace space and then numerically inverted to real space.Particular results were obtained in the analysis of the infinite acting case. The difficulty that is normally experienced when trying to match data with the drawdown type curves is here mathematically explored. In fact, it was found that, for practical purposes there are an infinite number of possible solutions for the desired parameters, namely the permeability, thickness, skin factor and storage coefficient.Layered systems, under some well-defined circumstances, can also be automatically analyzed to yield information about the permeabilities, radii of the layers, wellbore storage co-efficient and average skin factor.Finally, we point out that this method of treating the problem combines in an automatic procedure the best features of the methods so far applied, namely the interpretation of the early data dominated by storage effects in the type-curve matching technique and the semi-log transient data in the conventional drawdown test analysis.

Description

Type of resource text
Date created March 1983

Creators/Contributors

Author Rosa, Adalberto Jose
Primary advisor Horne, Roland N.
Degree granting institution Stanford University, Department of Petroleum Engineering

Subjects

Subject School of Earth Energy & Environmental Sciences
Genre Thesis

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Preferred Citation
Rosa, Adalberto Jose. (1983). Automated Type Curve Matching in Well Test Analysis. Stanford Digital Repository. Available at: https://purl.stanford.edu/jh271rr2079

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Master's Theses, Doerr School of Sustainability

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