Modeling fluid flow and transport in variably saturated porous media with the STOMP simulator. 1. Nonvolatile three-phase model description

Author(s):  
Yoram Rubin

Many of the principles guiding stochastic analysis of flow and transport processes in the vadose zone are those which we also employ in the saturated zone, and which we have explored in earlier chapters. However, there are important considerations and simplifications to be made, given the nature of the flow and of the governing equations, which we explore here and in chapter 12. The governing equation for water flow in variably saturated porous media at the smallest scale where Darcy’s law is applicable (i.e., no need for upscaling of parameters) is Richards’ equation (cf. Yeh, 1998)


In this paper we obtain an analytical solution that describes the effect of seepage flow on the freezing and thawing of saturated porous media. This solution is obtained by using techniques from complex variable theory. Results are presented to show how fluid flow effects the shape and growth rates of frozen regions embedded in the porous media. The effect of a heat sink is included for both single and multiple frozen regions. Examples are presented to illustrate the effect of this ground water flow on the thawing of arctic permafrost with and without the presence of perma­frost protection devices.


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