Razminia, AbolhassanBaleanu, DumitruRazminia, Kambiz2020-02-282025-09-182020-02-282025-09-182019Razminia, Kambiz; Razminia, Abolhassan; Baleanu, Dumitru, "Fractal-fractional modelling of partially penetrating wells", Chaos Solitons & Fractals, Vol. 119, pp. 135-142, (2019).0960-07791873-2887https://doi.org/10.1016/j.chaos.2018.12.020https://hdl.handle.net/20.500.12416/14925Razminia, Abolhassan/0000-0001-5139-4255In 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.eninfo:eu-repo/semantics/closedAccessFractional CalculusGreen'S FunctionPartially Penetrating WellFractal ReservoirArticle10.1016/j.chaos.2018.12.0202-s2.0-85059234547