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| Content Provider | Springer Nature Link |
|---|---|
| Author | Deng, Ying er Huang, Run qiu Liu, Ci qun Xie, He ping |
| Copyright Year | 2007 |
| Abstract | It was derived that micro-scale amount level of average pore radius of clay changed from 0.01 to 0.1 micron by an equivalent concept of flow in porous media. There is good agreement between the derived results and test ones. Results of experiments show that flow in micro-scale pore of saturated clays follows law of nonlinear flow. Theoretical analyses demonstrate that an interaction of solid-liquid interfaces varies inversely with permeability or porous radius. The interaction is an important reason why nonlinear flow in saturated clays occurs. An exact mathematical model was presented for nonlinear flow in micro-scale pore of saturated clays. Dimension and physical meanings of parameters of it are definite. A new law of nonlinear flow in saturated clays was established. It can describe characteristics of flow curve of the whole process of the nonlinear flow from low hydraulic gradient to high one. Darcy law is a special case of the new law. A mathematical model was presented for consolidation of nonlinear flow in radius direction in saturated clays with constant rate based on the new law of nonlinear flow. Equations of average mass conservation and moving boundary, and formula of excess pore pressure distribution and average degree of consolidation for nonlinear flow in saturated clay were derived by using an idea of viscous boundary layer, a method of steady state in stead of transient state and a method of integral of an equation. Laws of excess pore pressure distribution and changes of average degree of consolidation with time were obtained. Results show that velocity of moving boundary decreases because of the nonlinear flow in saturated clay. The results can provide geology engineering and geotechnical engineering of saturated clay with new scientific bases. Calculations of average degree of consolidation of the Darcy flow are a special case of that of the nonlinear flow. |
| Ending Page | 1436 |
| Page Count | 10 |
| Starting Page | 1427 |
| File Format | |
| ISSN | 02534827 |
| e-ISSN | 15732754 |
| Journal | Applied Mathematics and Mechanics |
| Issue Number | 11 |
| Volume Number | 28 |
| Language | English |
| Publisher | Editorial Committee of Applied Mathematics |
| Publisher Date | 2007-01-01 |
| Publisher Place | Hangzhou |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Conservation laws Mathematical modeling (models of systems, model-matching, etc.) Nonlinear initial value problems for linear parabolic equations nonlinear flow law average degree of consolidation Mechanics Applications of Mathematics Mathematical Modeling and Industrial Mathematics consolidation saturated clay moving boundary Flows in porous media; filtration; seepage |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Mechanics of Materials Mechanical Engineering |
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