Simulation of Gas Well Flow and Investigation of the Effect of Pressure Dependent Permeability on Real Gas Flow Tests

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Abstract/Contents

Abstract
The affect of the reduction of permeability as pressure declines in the transient gas flow through a porous medium is examined. For this purpose a modified definition of real gas potential, m(p), was established. The new definition of the m(p), incorporates the change in the permeability which can be considered to be any function of pressure.Two computer programs were developed. The first generates the arbitrary function m(p) and matches the pressure as a function of the developed m(p) values with cubic splines. The second is a mathematical model that uses the finite difference approach in order to solve the diffusivity type equation for a constant rate 0f production for a idealized radial flow. This program allows the possibility of studying the wellbore storage effect. However this condition was not tested. The Implicit Procedure was used to solve the finite difference equations.The analysis of numerical results from the computer model showed that the solutions of the diffusivity equation in terms of the modified definition of the m(p) function, for a constant rate draw-down case, are similar to the solutions for liquid flow.

Description

Type of resource text
Date created June 1972

Creators/Contributors

Author Correa, Danilo Alves
Primary advisor Raghavan, Rajagopal
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

Preferred Citation
Correa, Danilo Alves. (1972). Simulation of Gas Well Flow and Investigation of the Effect of Pressure Dependent Permeability on Real Gas Flow Tests. Stanford Digital Repository. Available at: https://purl.stanford.edu/qp552sq6463

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Master's Theses, Doerr School of Sustainability

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