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Wave equation in porous media can be derived from the Laplace equation and the Darcy's Law. Porous media are assumed to be homogenous and isotropic media. The governing equations are then derived by assuming that the depth of porous media is very small in comparison to its length scale. By mean...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/19960 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Wave equation in porous media can be derived from the Laplace equation and the Darcy's Law. Porous media are assumed to be homogenous and isotropic media. The governing equations are then derived by assuming that the depth of porous media is very small in comparison to its length scale. By means of the perturbation method, in which the ratio between the wave amplitude and the depth is considered to be a small parameter, the previous equations lead to the so called Boussinesq equation. Solving the Boussinesq equation, we find that porous media can have a damping effect, i.e. it is reduces the amplitude of the wave. We also consider the wave propagation close to the beach after it passed through porous media. Results show that the amplitudo of the wave becomes increase due to the reflection effect of the sloping bottom of the sea. |
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