Dear dumux-team,

I hope you can help me solve a problem in my models that I've been trying to 
figure out for some time now without success. Conceptually, I have been 
modelling leakage of natural gas into a fully saturated unconsolidated 
sedimentary aquifer. In the most basic version I use a 2D, 2p2c model where 
methane enters the from the base of a fully saturated aquifer. The domain is 
120 by 60 m, and the injection occurs by way of a Neumann boundary between x=30 
and x=31 m. Besides this I have no flow boundaries at the top and bottom, with 
an outflow boundary at the top for methane so that it can leave the domain once 
it reaches the top (due to buoyancy). Then, to induce lateral flow, I use a 
hydrostatic pressure distribution with a minor increase in pressure towards the 
left of the domain, such that water flows to the right. This distribution I 
have assigned as both the initial pressure and at sides as dirichlet 
boundaries. The code can be seen on my GitLab of this version of the model 
here<https://git.iws.uni-stuttgart.de/gilianschout/CH4Leak/blob/master/2p2c/leak2p2c.hh>.

Now the problem is that however I try to implement the lateral boundaries, I 
always get unexpected velocity vectors around the corners of the domain as you 
can see in this figure:

[cid:[email protected]]

Now this is not even that bad - in the middle of the domain the velocity 
profile is as I would like it to be. However, when I increase the absolute 
pressure in the domain, it becomes much worse. For example, here is the same 
image for a depth of 240 m.

[cid:[email protected]]

This obviously influences the results of the simulation significantly. I have 
been trying different solutions the last couple of days but haven't been able 
to put my finger on it. Presumably, there is some discrepancy between the model 
calculated pressures and the pressures/densities set at the boundaries. My hope 
is that someone in the team has perhaps run into similar issues and has a 
solution. The goal is obviously to have strictly lateral groundwater flow, 
without a vertical component (unless induced by the gas injection at the 
bottom).

Thanks in advance, kind regards,

Gilian Schout | PhD Candidate | Faculty of Geosciences | Utrecht University | 
+31 6 16523607 | [email protected]<mailto:[email protected]>

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