Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:314

Article

Lee, Sanghyun¹  Wheeler, Mary F.¹  Wick, Thomas^2,3 

[1] Univ Texas Austin, Inst Computat Engn & Sci, Ctr Subsurface Modeling, 201 East 24th St, Austin, TX 78712 USA

[2] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, A-4040 Linz, Austria

[3] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France

关键词: Fluid-filled phase field fracture;    Fixed stress splitting;    Pressure diffraction equation;    Level-set method;    Crack width;    Porous media;   

DOI  :  10.1016/j.cam.2016.10.022

来源: Elsevier

【 摘 要 】

In this Work, we present numerical studies of fixed-stress iterative coupling for solving flow and geomechanics with propagating fractures in a porous medium. Specifically, fracture propagations are described by employing a phase-field approach. The extension to fixed stress splitting to propagating phase-field fractures and systematic investigation of its properties are important enhancements to existing studies. Moreover, we provide an accurate computation of the fracture opening using level-set approaches and a subsequent finite element interpolation of the width. The latter enters as fracture permeability into,the pressure diffraction problem which is crucial for fluid filled fractures. Our developments are substantiated with several numerical tests that include comparisons of computational cost for iterative coupling and nonlinear and linear iterations as well as convergence studies in space and time. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free