Pressure Distributions in Asymmetric Circular Systems

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Abstract/Contents

Abstract
Analytical solutions have been obtained for the pressure transient effects due to a well producing from an off-center position in a circular reservoir. The analysis is performed for both the constant pressure and no-flow outer boundary conditions. The results are obtained by an application and extension of the method of images. Numerical values are obtained by inverting solutions in Laplace space. The dimensionless pressure values are tabulated and plotted as functions of dimensionless time. A simple equation relating shape factor to geometry is derived. Shape factors for a square system and a circular system are compared for various well positions. In the constant pressure system, a pressure versus time graph shows an initial line source behavior, a transition zone, and a late time steady-state behavior where pressure is independent of time. The no-flow system also shows an initial line source behavior, followed by a transition period, and finally a pseudo-steady state period where pressure drops linearly with time. The pressure solutions suggest that an effect of the eccentricity of the system is an apparent reduction in reservoir area. The comparison between the square system and the circular system reveals that the two systems are very similar in their shape factor characteristics for wells close to the center but diverge for wells close to the boundary.

Description

Type of resource text
Date created March 1982

Creators/Contributors

Author Temeng, Kwaku
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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User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.

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Preferred Citation
Temeng, Kwaku. (1982). Pressure Distributions in Asymmetric Circular Systems. Stanford Digital Repository. Available at: https://purl.stanford.edu/jr322vm6204

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Master's Theses, Doerr School of Sustainability

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