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Diffusion

  • Cornelis B. Vreugdenhil

Abstract

Consider the flow of groundwater in a more or less horizontal porous layer of soil (Fig. 7.1). The mass balance for a column of soil is similar to that for a river:
$$\frac{{\partial a}}{{\partial t}} + \frac{\partial }{{\partial x}}\left( {au} \right) = w/n$$
(7.1)
where
$$\begin{array}{*{20}{c}} {a = thickness\;of\,the\,water\,layer\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {u = flow\,velocity\,averaged\,over\,the\,layer\,\,\,\,\,\,} \\ {w = ra\inf all\,in\,volume\,per\,unit\,surface\,area} \\ {n = porosity\,of\,the\,soil\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \end{array}$$
It has been assumed that rainfall reaches the groundwater layer very quickly; temporary storage in the unsaturated soil above the groundwater layer is not taken into account.

Keywords

Groundwater Level Groundwater Flow Diffusion Equation Unsaturated Soil Amplification Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Cornelis B. Vreugdenhil
    • 1
  1. 1.ENR Computer Services for TechnologyPettenThe Netherlands

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