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| Content Provider | Springer Nature Link |
|---|---|
| Author | Dahaghi, Amirmasoud Kalantari Gholami, Vida Moghadasi, Jamshid |
| Copyright Year | 2010 |
| Abstract | This article presents a practical transfer function type solution to a complex problem in which variations in a number of parameters can be taken into account. A new mathematical model, which is based on mass balance transfer function of particles movement/retention in porous media, has been derived. It is used to predict permeability reduction as a function of time. The linear forms as well as the radial forms of the model are described. Although the differential equations derived are similar to the general form of diffusion–convection equations, the marked difference is the suitability of the model, for being applied for variation of parameters, such as particle concentration in the fluid, injection rate, density of solid particles, against the depth and time of invasion. This transfer function has been solved, and the results of the simulation run agree reasonably well with the experimental damage data obtained in laboratory. Owing to its simplicity, this model is more practical to describe permeability reduction for the flow of suspended particles in porous media. |
| Starting Page | 867 |
| Ending Page | 879 |
| Page Count | 13 |
| File Format | |
| ISSN | 01693913 |
| Journal | Transport in Porous Media |
| Volume Number | 86 |
| Issue Number | 3 |
| e-ISSN | 15731634 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2010-09-22 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Permeability Formation damage Transfer function Particle deposition Porosity Porous media Mathematical model Laplace transform Classical Continuum Physics Hydrogeology Civil Engineering Industrial Chemistry/Chemical Engineering Geotechnical Engineering |
| Content Type | Text |
| Resource Type | Article |
| Subject | Catalysis |
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