Phase field method for quasi-static hydro-fracture in porous media under stress boundary condition considering the effect of initial stress field

2020 ◽  
Vol 107 ◽  
pp. 102523 ◽  
Author(s):  
Shuwei Zhou ◽  
Xiaoying Zhuang ◽  
Timon Rabczuk
Keyword(s):  
Boundary Condition ◽  
Porous Media ◽  
Stress Field ◽  
Initial Stress ◽  
Phase Field ◽  
Field Method ◽  
Phase Field Method ◽  
Initial Stress Field ◽  
Stress Boundary Condition ◽  
Stress Boundary

On the hydraulic fracturing in naturally-layered porous media using the phase field method

2020 ◽  
Vol 266 ◽  
pp. 105306 ◽  
Author(s):  
Xiaoying Zhuang ◽  
Shuwei Zhou ◽  
Mao Sheng ◽  
Gengsheng Li
Keyword(s):  
Porous Media ◽  
Hydraulic Fracturing ◽  
Phase Field ◽  
Field Method ◽  
Phase Field Method ◽  
Layered Porous Media

Bi-Velocity Phase Field Method

2013 ◽  
Vol 333 ◽  
pp. 83-89
Author(s):  
Bartek Wierzba ◽  
Marek Danielewski ◽  
Andrzej Nowotnik ◽  
Jan Sieniawski
Keyword(s):  
Stress Field ◽  
Phase Field ◽  
Life Time ◽  
Field Method ◽  
Phase Field Method ◽  
Phase Zone ◽  
Two Phase ◽  
Gradient Coatings ◽  
Interdiffusion Coefficients ◽  
Kinetics Of

In this paper we couple the bi-velocity with the phase field method. It deals with: (1) the different mobility of the components in the two-phase zone; (2) nonzero steps of molar volumes for each component from phase to phase and (3) the composition dependent interdiffusion coefficients. The method allows to determine the average stress field during the diffusion process, the kinetics of the reactions and estimate the entropy production. The paper presents the numerical computations of diffusion in th eNiAlCr system. The results can serve as a basis in designing gradient coatings of extended life time.

Reductions in Anisotropic Errors from Implementation of Phase-Field Wetting Boundary Condition for Off-Grid Objects

2015 ◽  
Vol 12 (06) ◽  
pp. 1550042
Author(s):  
Yasuhiro Inoue ◽  
Kazuki Ishida ◽  
Naoki Takada ◽  
Masaki Hojo
Keyword(s):  
Boundary Condition ◽  
Phase Field ◽  
Capillary Flow ◽  
Field Method ◽  
Phase Field Method ◽  
Boundary Phase ◽  
Immersed Boundary ◽  
Geometric Conditions ◽  
Theoretical Predictions ◽  
Multiphase Fluid

In simulations of multiphase fluid flow using the phase-field method (PFM), the wetting boundary condition is required for off-grid objects. In this study, we propose an improved implementation of the wetting boundary condition for off-grid objects to reduce anisotropic errors arising from use of a rectangular grid. Our implementation of the phase-field wetting boundary condition conforms to the immersed-boundary formulation of solid–fluid interfaces; therefore, we call the immersed-boundary phase-field implementation (IB-PFI). We performed simulations with and without IB-PFI for (a) droplets adhering to circular objects and (b) capillary flow in a parallel-plate channel. In simulations without IB-PFI, anisotropic errors were induced by off-grid objects, and the results deviated from theoretical predictions. In contrast, simulations with IB-PFI suppressed the anisotropic errors and agreed with the theoretical predictions. Thus, IB-PFI extends the applicability of the PFM to simulations of multiphase fluid flows under numerous geometric conditions.

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