scholarly journals Bifurcations of front motion in passive and active Allen–Cahn-type equations

2020 ◽  
Vol 30 (5) ◽  
pp. 053136 ◽  
Author(s):  
Fenna Stegemerten ◽  
Svetlana V. Gurevich ◽  
Uwe Thiele
Keyword(s):  
1993 ◽  
Vol 48 (17) ◽  
pp. 13188-13191 ◽  
Author(s):  
D. A. Brawner ◽  
N. P. Ong ◽  
Z. Z. Wang
Keyword(s):  

Geofluids ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-13
Author(s):  
Xiangxiang Zhang ◽  
J. G. Wang ◽  
Xiaolin Wang ◽  
Feng Gao

Water permeation into a porous medium is a common but important phenomenon in many engineering fields such as hydraulic fracturing. The water permeation front moves with time and may significantly impact the field variable evolution near the water front. Many algorithms have been developed to calculate this water front motion, but few numerical algorithms have been available to calculate the water front motion in anisotropic fluid-solid couplings with high computational efficiency. In this study, a numerical model is proposed to investigate the front motion of water permeation into an anisotropic porous medium. This model fully couples the mechanical deformation, fluid flow, and water front motion. The water front motion is calculated based on a directional Darcy’s flow in the anisotropic porous medium, and a revised formula with a correction coefficient is developed for the estimation of permeation depth. After verification with three sets of experimental data, this model is used to numerically investigate the impacts of permeability, viscosity, permeability anisotropy, and mechanical anisotropy on water front motion. Numerical results show that the proposed model can well describe the anisotropic water permeation process with reasonable accuracy. The permeation depth increases with permeability, mobility, and mechanical anisotropy but decreases with viscosity and permeability anisotropy. The correction coefficient mainly depends on porosity evolution, flow pattern, mobility, permeability anisotropy, and mechanical anisotropy.


2017 ◽  
Vol 23 (10) ◽  
pp. 4733-4740 ◽  
Author(s):  
Jingmin Li ◽  
Chao Liang ◽  
Shuai Wang ◽  
Chong Liu

2021 ◽  
Vol 13 (24) ◽  
pp. 4983
Author(s):  
Zhaohui Chi ◽  
Andrew Klein

On 26 September 2019, a massive iceberg broke off the west side of the Amery Ice Shelf (AIS) in East Antarctica. Since 1973, the AIS calving front has steadily advanced at a rate of 1.0 km yr−1. However, the advancement rate of the central portion of the AIS increased dramatically during 2012–2015, which indicates a velocity increase prior to the calving event. Eight calving front locations from 1973 to 2018 were mapped to investigate the advancement rate of AIS over the entire observational period. Additionally, the propagation of rift A was observed unstable from 2012 to 2015. The westward propagation rate of rift A1 increased to 3.7 km yr−1 from 2015 to 2017, which was considerably faster than the other rifts near the AIS calving front. The increased advancement rate and the increasing propagation magnitude of at least one active rift appear to be precursors of this large calving event.


1999 ◽  
Author(s):  
J. He ◽  
M. C. Altan

Abstract The impregnation of a fiber bed by capillary forces in a gravity field is analyzed. Fiber bed is modeled as infinitely long, parallel cylinders arranged in a hexagonal pattern. Quasi-static creeping flow equation is used to obtain the fluid front location and shape during impregnation of the fiber bed. The fluid front motion during impregnation are presented for different Bond numbers, contact angles and fiber volume fractions. It is found that impregnation velocity is significantly affected by contact angle and fiber volume fraction at the initial stages of impregnation. The influence of the Bond number becomes more significant when the fluid front approaches its final position where gravity balances capillary forces. The permeability of the fiber bed is also obtained from the time-dependent motion of the fluid front. The permeability predictions agree with the published experimental result and with those obtained by using lubrication theory.


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