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| Titel |
Nonlinear flow model for well production in an underground formation |
| VerfasserIn |
J. C. Guo, R. S. Nie |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 20, no. 3 ; Nr. 20, no. 3 (2013-05-17), S.311-327 |
| Datensatznummer |
250018970
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| Publikation (Nr.) |
 copernicus.org/npg-20-311-2013.pdf |
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| Zusammenfassung |
| Fluid flow in underground formations is a nonlinear process. In this article
we modelled the nonlinear transient flow behaviour of well production in an
underground formation. Based on Darcy's law and material balance equations,
we used quadratic pressure gradients to deduce diffusion equations and
discuss the origins of nonlinear flow issues. By introducing an
effective-well-radius approach that considers skin factor, we established a
nonlinear flow model for both gas and liquid (oil or water). The liquid flow
model was solved using a semi-analytical method, while the gas flow model was
solved using numerical simulations because the diffusion equation of gas flow
is a stealth function of pressure. For liquid flow, a series of standard
log-log type curves of pressure transients were plotted and nonlinear
transient flow characteristics were analyzed. Qualitative and quantitative
analyses were used to compare the solutions of the linear and nonlinear
models. The effect of nonlinearity upon pressure transients should not be
ignored. For gas flow, pressure transients were simulated and compared with
oil flow under the same formation and well conditions, resulting in the
conclusion that, under the same volume rate production, oil wells demand
larger pressure drops than gas wells. Comparisons between theoretical data
and field data show that nonlinear models will describe fluid flow in
underground formations realistically and accurately. |
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