A Finite Element Model for Simulating Flow around a Well with Helically Symmetric Perforations
Publish place: Journal of Engineering Geology، Vol: 12، Issue: 5
Publish Year: 1397
Type: Journal paper
Language: English
View: 382
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Document National Code:
JR_JEG-12-5_006
Index date: 26 December 2020
A Finite Element Model for Simulating Flow around a Well with Helically Symmetric Perforations 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 involveperiodic-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.
A Finite Element Model for Simulating Flow around a Well with Helically Symmetric Perforations Keywords:
Cased and perforated well , Finite element method , Helical symmetry , Periodic boundary condition , Well inflow analysis
A Finite Element Model for Simulating Flow around a Well with Helically Symmetric Perforations authors
S. Amirodin Sadrnejad
Faculty of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran
Hasan Ghasemzadeh
Faculty of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran
AhmadAli Khodaei Ardabili
Faculty of Civil Engineering, K. N. Toosi University of Technology, Tehran, Iran