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Fractal-fractional modelling of partially penetrating wells

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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). tr_TR
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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Pergamon-Elsevier Science LTD tr_TR
dc.relation.isversionof 10.1016/j.chaos.2018.12.020 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Green's Function tr_TR
dc.subject Partially Penetrating Well tr_TR
dc.subject Fractal Reservoir tr_TR
dc.title Fractal-fractional modelling of partially penetrating wells tr_TR
dc.type article tr_TR
dc.relation.journal Chaos Solitons & Fractals tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 119 tr_TR
dc.identifier.startpage 135 tr_TR
dc.identifier.endpage 142 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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