Exact solutions for one-dimensional consolidation of single-layer unsaturated soil

2011 ◽  
Vol 36 (6) ◽  
pp. 708-722 ◽  
Author(s):  
Zhendong Shan ◽  
Daosheng Ling ◽  
Haojiang Ding
Keyword(s):  
Exact Solutions ◽  
Unsaturated Soil ◽  
Single Layer ◽  
One Dimensional

scholarly journals One-Dimensional Vacuum Steady Seepage Model of Unsaturated Soil and Finite Difference Solution

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Feng Huang ◽  
Jianguo Lyu ◽  
Guihe Wang ◽  
Hongyan Liu
Keyword(s):  
Finite Difference ◽  
Unsaturated Soil ◽  
Vacuum Pressure ◽  
Vacuum Field ◽  
One Dimensional ◽  
Steady Seepage ◽  
Basic Equations ◽  
The One ◽  
Seepage Law ◽  
Relationship Of

Vacuum tube dewatering method and light well point method have been widely used in engineering dewatering and foundation treatment. However, there is little research on the calculation method of unsaturated seepage under the effect of vacuum pressure which is generated by the vacuum well. In view of this, the one-dimensional (1D) steady seepage law of unsaturated soil in vacuum field has been analyzed based on Darcy’s law, basic equations, and finite difference method. First, the gravity drainage ability is analyzed. The analysis presents that much unsaturated water can not be drained off only by gravity effect because of surface tension. Second, the unsaturated vacuum seepage equations are built up in conditions of flux boundary and waterhead boundary. Finally, two examples are analyzed based on the relationship of matric suction and permeability coefficient after boundary conditions are determined. The results show that vacuum pressure will significantly enhance the drainage ability of unsaturated water by improving the hydraulic gradient of unsaturated water.

scholarly journals Comparison of FASST and SNTHERM in Three Snow Accumulation Regimes

2008 ◽  
Vol 9 (6) ◽  
pp. 1443-1463 ◽  
Author(s):  
Susan Frankenstein ◽  
Anne Sawyer ◽  
Julie Koeberle
Keyword(s):  
Surface Energy ◽  
Single Layer ◽  
Soil Strength ◽  
Snow Accumulation ◽  
Dynamic State ◽  
Energy Fluxes ◽  
One Dimensional ◽  
Surface Energy Fluxes ◽  
Snow Model ◽  
Surface Ice

Abstract Numerical experiments of snow accumulation and depletion were carried out as well as surface energy fluxes over four Cold Land Processes Experiment (CLPX) sites in Colorado using the Snow Thermal model (SNTHERM) and the Fast All-Season Soil Strength model (FASST). SNTHERM is a multilayer snow model developed to describe changes in snow properties as a function of depth and time, using a one-dimensional mass and energy balance. The model is intended for seasonal snow covers and addresses conditions found throughout the winter, from initial ground freezing in the fall to snow ablation in the spring. It has been used by many researchers over a variety of terrains. FASST is a newly developed one-dimensional dynamic state-of-the-ground model. It calculates the ground’s moisture content, ice content, temperature, and freeze–thaw profiles as well as soil strength and surface ice and snow accumulation/depletion. Because FASST is newer and not as well known, the authors wanted to determine its use as a snow model by comparing it with SNTHERM, one of the most established snow models available. It is demonstrated that even though FASST is only a single-layer snow model, the RMSE snow depth compared very favorably against SNTHERM, often performing better during the accumulation phase. The surface energy fluxes calculated by the two models were also compared and were found to be similar.

Transport processes between fluids and clouds of suspended particles: some exact solutions

1957 ◽  
Vol 242 (1231) ◽  
pp. 430-443 ◽  
Keyword(s):  
Exact Solutions ◽  
Turbulent Mixing ◽  
Liquid Fuel ◽  
Transport Processes ◽  
Dimensional System ◽  
Unsteady Heat Transfer ◽  
One Dimensional ◽  
Homogeneous Reactor ◽  
Fourier Equation ◽  
Gas Component

The paper relates to processes such as the burning of pulverized solid fuel and of liquid fuel sprays, absorption of a gas component by a solvent spray, etc., and takes account of convection and turbulent mixing of the cloud. The Eulerian equation of conservation for the steady process is shown to be transformable into the Fourier equation for unsteady heat transfer in a flowing medium. Exact solutions are given for a one-dimensional system, an axially symmetrical system, and the steady-flow homogeneous reactor. Numerical methods are indicated for more complex systems, and the possibility of solution by means of an analogue is pointed out.

Exact Solutions for One-Dimensional Gray Media

2022 ◽  
pp. 467-495
Author(s):  
Michael F. Modest ◽  
Sandip Mazumder
Keyword(s):  
Exact Solutions ◽  
One Dimensional

Rheological Aspects of Multilayered Thick-Wall Polymeric Pipes under the Influence of Internal Pressure

2020 ◽  
Vol 869 ◽  
pp. 209-217
Author(s):  
Serdar B. Yazyev ◽  
Stepan Litvinov ◽  
Anastasia E. Dudnik ◽  
Irina Doronkina
Keyword(s):  
Internal Pressure ◽  
Single Layer ◽  
Thermal Conditions ◽  
Thick Wall ◽  
Rheological Parameters ◽  
The Finite Element Method ◽  
One Dimensional ◽  
Cyclic Temperature ◽  
Temperature Dependences ◽  
Pvc Pipe

Rheologic of a polymer pipe from cyclic temperature and internal pressure in one-dimensional and two-dimensional formulations is considered. The resulting equations of the finite element method allow one to calculate both single-layer and multilayer thick-walled pipes taking into account creep. In the calculation, the temperature dependences of the elastic and rheological parameters of polymer pipes were used. The effect of variable thermal conditions on the VAT of a PVC pipe is investigated. It has been established that under unsteady thermal conditions, stresses can occur significantly higher than in a stationary temperature field. This is explained by the fact that polymers have a component of deformation that is lagging in phase from stresses (highly elastic deformation).

Superconductivity on Edge: Evidence of a One-Dimensional Superconducting Channel at the Edges of Single-Layer FeTeSe Antiferromagnetic Nanoribbons

ACS Nano ◽  
2020 ◽  
Vol 14 (6) ◽  
pp. 6539-6547
Author(s):  
Zhuozhi Ge ◽  
Qiang Zou ◽  
Huimin Zhang ◽  
Chenhui Yan ◽  
Daniel Agterberg ◽  
...  
Keyword(s):  
Single Layer ◽  
One Dimensional
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