dc.contributor.author |
Razminia, Kambiz
|
|
dc.contributor.author |
Razminia, Abolhassan
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.date.accessioned |
2020-02-28T12:18:48Z |
|
dc.date.available |
2020-02-28T12:18:48Z |
|
dc.date.issued |
2019-02 |
|
dc.identifier.citation |
Razminia, Kambiz; Razminia, Abolhassan; Baleanu, Dumitru, "Fractal-fractional modelling of partially penetrating wells", Chaos Solitons & Fractals, Vol. 119, pp. 135-142, (2019). |
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dc.identifier.issn |
0960-0779 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/2573 |
|
dc.description.abstract |
In this paper, the fractional order dynamical system theory is used to describe the complex behaviour of partially penetrating wells (PPWs) in a typical reservoir whose geometry is governed by fractal tools. The Green's function approach, as a generalised impulse response function, is adopted to model the fluid flow in any type of reservoir with a partially penetrating (vertical) well producing from it. Having obtained the initial description of a typical PPW, using the Laplace transform a new dimensionless constant-flow-rate solution is introduced, when wellbore storage and skin effects are significant. The pressure-transient behaviour of a PPW is discussed following two synthetic examples which illustratively depict the effectiveness of the proposed results. (C) 2019 Elsevier Ltd. All rights reserved. |
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dc.language.iso |
eng |
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dc.publisher |
Pergamon-Elsevier Science LTD |
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dc.relation.isversionof |
10.1016/j.chaos.2018.12.020 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Fractional Calculus |
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dc.subject |
Green's Function |
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dc.subject |
Partially Penetrating Well |
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dc.subject |
Fractal Reservoir |
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dc.title |
Fractal-fractional modelling of partially penetrating wells |
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dc.type |
article |
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dc.relation.journal |
Chaos Solitons & Fractals |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
119 |
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dc.identifier.startpage |
135 |
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dc.identifier.endpage |
142 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü |
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