A Simulation of a Natural Gas Reservoir Producing at Constant Wellhead Flowing Pressure Subject to Non-Darcy Flow Effect and Formation Damage

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Abstract/Contents

Abstract
This study investigates the transient response caused by a well located in a circular gas reservoir, closed or subject to constant pressure at the outer boundary, when producing at a constant wellhead flowing pressure and when formation damage and high-velocity flow are present.The work consists basically of the solution of the vertical flow equation that depends on the friction factor, wellhead flowing pressure, bottom hole pressure, and flow rate, combined with the solution for the gas reservoir flow equation, considering non-Darcy flow and formation damage effects.Since the flow rates in gas reservoirs are usually high, the flow in the production pipe is considered turbulent and the friction factor independent of the Reynolds Number.The reservoir flow equation is developed in terms of real gas potential m(p), and since it is a nonlinear partial differential equation, numerical techniques are used to solve it. An iterative process in flow rate is applied, since knowledge of flow rate is necessary to compute the bottom hole flowing pressure.The effects of non-Darcy flow, formation damage, and pressure dependence are analyzed and the results presented in terms of dimension-less flow rate and dimensionless cumulative production versus dimension-less time.The results obtained compare well with the classical constant- property solutions, at early and intermediate times, but at late times when the reservoir limit begins to affect the transient behavior, a deviation is observed. The non-Darcy flow affects the transient response at late times, while at early times there is not much influence.

Description

Type of resource text
Date created December 1981

Creators/Contributors

Author de Almeida, Alberto Sampaio
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
de Almeida, Alberto Sampaio. (1981). A Simulation of a Natural Gas Reservoir Producing at Constant Wellhead Flowing Pressure Subject to Non-Darcy Flow Effect and Formation Damage. Stanford Digital Repository. Available at: https://purl.stanford.edu/dx777hg4974

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Master's Theses, Doerr School of Sustainability

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