Abstract
Essential flow and transport equations are derived for discrete features, which are separated from the porous-medium approach. Discrete features are very useful to model flow and transport processes in fractures, conduits, channels, faults, boreholes and many other macroscopic geometric representations. Typically, diffusion-type flow conditions are assumed in those discrete features. The developments are summarized in Tables 4.5, 4.6 and 4.7 for flow, mass and heat transport, respectively, in discrete features.
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Notes
- 1.
With the hydraulic head h = p∕(ρ 0 g) + x j =ψ + x j , (3.260), it is p =ρ 0 g(h − x j ) and yields:
$$\displaystyle{\nabla p -\rho \boldsymbol{ g} = \nabla p +\rho g\boldsymbol{e} =\rho _{0}g{\Bigl (\nabla \psi + \nabla x_{j} + \frac{\rho -\rho _{0}} {\rho _{0}} \Bigr )} =\rho _{0}g(\nabla h +\chi \boldsymbol{ e}).}$$
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Diersch, HJ.G. (2014). Discrete Feature. In: FEFLOW. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38739-5_4
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DOI: https://doi.org/10.1007/978-3-642-38739-5_4
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