A Finite Element Model for Simulating Flow around a Well with Helically Symmetric Perforations

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SADRNEJAD SEYED AMIRODIN; GHASEMZADEH HASAN; Khodaei Ardabili Ahmad Ali

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Journal: JOURNAL OF ENGINEERING GEOLOGY Year:2018 | Volume:12 | Issue:5 (supp.) Page(s): 159-188

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Title

A Finite Element Model for Simulating Flow around a Well with Helically Symmetric Perforations

Author(s)

SADRNEJAD SEYED AMIRODIN | GHASEMZADEH HASAN | Khodaei Ardabili Ahmad Ali | Issue Writer Certificate

Keywords

Cased and perforated wellQ1

Finite element methodQ1

Helical symmetryQ1

Periodic boundary conditionQ1

Well inflow analysisQ1

Abstract

In a perforated well, fluids enter the wellbore through arrays of perforation tunnels. These perforations are typically distributed in a helical pattern around the wellbore. Available numerical models to simulate production flow into cased-and-perforated vertical wells have complicated boundary conditions or suffer from high computational costs. This paper presents a simple and at the same time efficient finite element model to simulate flow around a well with helically symmetric perforations. In the proposed model, by taking advantage of the symmetry, only a thickness of perforated interval containing a single perforation tunnel needs to be meshed. Angular phasing between adjacent perforations is considered by applying Periodic boundary conditions on the upper and lower boundaries of the representative reservoir thickness. These boundary conditions involve periodic-pressure and periodic-velocity parts. Unlike the periodicpressure part, the method of imposing the periodic-velocity condition within a single-variable flow problem is rather vague. In this regard, it is proved that in the proposed model, periodic-velocity condition is automatically satisfied in a weak sense. The accuracy and the computational efficiency of the proposed model are verified through comparison with available models. The model results, in terms of skin factor, are compared with the common semi-analytical model as well, and good agreement is obtained. The proposed model can readily be used as a numerical tool to study inflow of wells with helically symmetric perforations.

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APA: Copy

SADRNEJAD, SEYED AMIRODIN, GHASEMZADEH, HASAN, & Khodaei Ardabili, Ahmad Ali. (2018). A Finite Element Model for Simulating Flow around a Well with Helically Symmetric Perforations. JOURNAL OF ENGINEERING GEOLOGY, 12(5 (supp.) ), 159-188. SID. https://sid.ir/paper/186326/en

Vancouver: Copy

SADRNEJAD SEYED AMIRODIN, GHASEMZADEH HASAN, Khodaei Ardabili Ahmad Ali. A Finite Element Model for Simulating Flow around a Well with Helically Symmetric Perforations. JOURNAL OF ENGINEERING GEOLOGY[Internet]. 2018;12(5 (supp.) ):159-188. Available from: https://sid.ir/paper/186326/en

IEEE: Copy

SEYED AMIRODIN SADRNEJAD, HASAN GHASEMZADEH, and Ahmad Ali Khodaei Ardabili, “A Finite Element Model for Simulating Flow around a Well with Helically Symmetric Perforations,” JOURNAL OF ENGINEERING GEOLOGY, vol. 12, no. 5 (supp.) , pp. 159–188, 2018, [Online]. Available: https://sid.ir/paper/186326/en

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