کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4964048 | 1447423 | 2016 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Phase-field modeling of proppant-filled fractures in a poroelastic medium
ترجمه فارسی عنوان
مدلسازی میدان مغناطیسی شکستگیهای پرپپتان در محیط پرآلودگی
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کلمات کلیدی
شکستگی میدان فاز، شکستگی هیدرولیکی، حمل و نقل پروپاننت، مدل جریان کازین نیوتنی،
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
In this paper we present a phase field model for proppant-filled fractures in a poroelastic medium. The formulation of the coupled system involves four unknowns: displacements, phase field, pressure, and proppant concentration. The two-field displacement phase-field system is solved fully-coupled and accounts for crack irreversibility. This solution is then coupled to the pressure equation via a fixed-stress iteration. The pressure is obtained by using a diffraction equation where the phase-field variable serves as an indicator function that distinguishes between the fracture and the reservoir. The transport of the proppant in the fracture is modeled by using a power-law fluid system. The numerical discretization in space is based on Galerkin finite elements for displacements and phase-field, and an enriched Galerkin method is applied for the pressure equation in order to obtain local mass conservation. The concentration is solved with cell-centered finite elements. Nonlinear equations are treated with Newton's method. Our developments are substantiated with several numerical examples in two and three dimensions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 312, 1 December 2016, Pages 509-541
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 312, 1 December 2016, Pages 509-541
نویسندگان
Sanghyun Lee, Andro MikeliÄ, Mary F. Wheeler, Thomas Wick,