Application of convolution theory for solving non-linear flow problems : gas flow systems /
a reservoir. It is well known that fluid flow through porous
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| Format: | Thesis eBook |
| Language: | English |
| Published: |
[Place of publication not identified] :
[publisher not identified] ;
1995.
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| Subjects: | |
| Online Access: | Link to OAKTrust copy |
| Summary: | a reservoir. It is well known that fluid flow through porous analytical and numerical solutions of this "diffusivity" analytical" because although the approach is rigorous, we analyze and predict the flowrate and pressure performance in and/or pseudotime. This thesis proposes a new approach that case of single-phase flow of a slightly compressible liquid differential equation (i.e., pressuredependent coefficients differential equation and uses convolution to account for the differential equation of the diffusion type, and that both equation differ widely depending on flow conditions, spatial evaluate the non-linear term based on the average reservoir for approximate solutions given by ideal gas behavior, by gas differential equation. This solution is "semi- gas flow that will eliminate the use of limiting assumptions geometry, and fluid type. The diffusivity equation for the in the differential equation). Our objective is to develop a media can be described mathematically with a partial models greatly improves an engineer's ability to correctly nature of real gases which results in a non-linear partial of the gas diffusivity equation remains unconquered-except perturbation, and by linearization. The difficulty in pressure predicted from material balance. pressure-dependent non-linear term in the time portion of the se@-analytical solution specific to the case of compressible solving this problem stems from the highly compressible The accurate description of fluid flow through porous media uses pseudopressure to linearize the spatial portion of the using physically representative analytical or numerical variety of well geometries. However, the analytical solution yields analytical solutions in the Laplace domain for a |
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| Item Description: | "Major subject: Petroleum Engineering". Vita. |
| Physical Description: | xiv, 112 leaves : illustrations ; 28 cm. Also available online. Issued also on microfiche from Lange Micrographics. |
| Bibliography: | Includes bibliographical references. |