Transient Pressure Analysis in Composite Reservoirs

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Abstract/Contents

Abstract
This study deals with the problem of fluid flow in a radially composite reservoir. Recently, Satman, et al. published the most general analytical solution available thus far. That analytical solution is analyzed in this study, and the new results are presented.The solution is dependent on four dimensionless parameters, if wellbore storage and skin effect are neglected; they are, dimensionless time based on the discontinuity radius, the dimensionless discontinuity radius, the mobility ratio and the diffusivity ratio. The range of parameters used in generating the results include dimensionless radius time of 0.01 to 10,000, mobility ratio of 1 to 1000 and diffusivity ratio of 1 to 200.The results were analyzed graphically and numerically. In general, the results feature an infinite acting period followed by a transition period before the start of the second infinite acting period. The first and second semi-log straight lines reflect the parameters of regions behind and ahead of teh discontinuity. The length of the transition period is dependent on the mobility ratio, diffusivity ratio and discontinuity radius.The results were also compared to previously published results. In particular, the convergence of the approximate solution and the analytical solution at "late time" for all parameters permit determination of the start of the second infinite acting period. The comparison also validates a formulation that previous investigators had published, which relates the discontinuity radius to the intersection point of the two semi-log straight lines. However, the results indicate that correction factors are needed, for most cases, in combination with the formulationThe similarity between closed and high mobility ratio composite systems during the transition period led to the concept of deviated pseudosteady-state and deviation factors. The deviation factors combined with pseudosteady-state material balance will allow the determination of inner region volume, independent of geometric considerations. Examples and illustrations are provided to demonstrate the methods introduced in this study. The effects of wellbore storage and skin on the results are discussed briefly. Discussion of the present results in comparison with those by Bixel and van Poollen, Carter, Odeh, Kazemi, et al., and Merril, et al. are provided. Overall, the Satman, et al. analytical solution and the present results have wide ranging applications.

Description

Type of resource text
Date created June 1980

Creators/Contributors

Author Tang, Raymond Way-Kong
Primary advisor Ramey Jr, Henry J.
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
Tang, Raymond Way-Kong. (1980). Transient Pressure Analysis in Composite Reservoirs. Stanford Digital Repository. Available at: https://purl.stanford.edu/sd545mx0427

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Master's Theses, Doerr School of Sustainability

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