Re: [DuMux] How to prescribe an uniform background hydraulic head gradients in DuMuX?

[Etienne Ahusborde]

Hi Timo,

First, I would like to wish a happy new year to everyone.

Thanks a lot for your answer.  We will try your idea.

The problem when imposing only a flux on the left side is that the 
groundwater flow is unfortunately not uniform. The test case that we 
want to consider comes from this reference 
https://www.sciencedirect.com/science/article/abs/pii/S1750583615001899


Regards

Etienne

Le 23/12/2021 à 10:24, Timo Koch a écrit :
On 15. Dec 2021, at 18:16, Etienne Ahusborde 
> wrote:


Dear DuMuX,

With my colleagues, we are interested to perform a test case of 
injection of CO2 into a reservoir with uniform background hydraulic 
head gradients.




The configuration is represented in the figure above and the 
groundwater flow is 5.5m / year.


We are wondering how it is possible to impose this groundwater flow 
in DuMuX.


We inject CO2 as a source term and we tried to impose a flux of water 
on the upstream boundary with a velocity of 5.5m / year. 
Unfortunately, it does not seem to be the good way to do.





Dear Etienne,

what was the problem with the boundary condition approach? This seems 
like the solution with the smallest perturbation of the solution 
within the domain.
I don’t fully understand the meaning of the conditions you want to 
set. Since the groundwater flow pressure field will be influenced by 
the CO2 plume and in a non-linear way fixing a hydraulic heads or even 
superimposing a gradient within the domain additively would influence 
the physics.


However, maybe in your setup this wouldn’t be important.
In that case you, could modify the flux implementation, e.g. 
Dumux::DarcysLaw (or more specifically the specialisation for your 
discretisation method) and add a position-dependent background 
pressure field (e.g. via a spatial parameter interface) to the 
pressures appearing there.
Your pressure solution would then be the pressure difference to that 
background pressure field, so to minimise the influence on the 
solution the background pressure field should probably be centred 
around 0.
You can set your modified Darcy’s law class via the property 
“AdvectionType”.
As I haven’t tried something like that myself I can’t guarantee this 
works as expected.


Best wishes
Timo


Has someone an idea to how we could impose that?

Thanks in advance for any help

Regards

Etienne

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Re: [DuMux] How to prescribe an uniform background hydraulic head gradients in DuMuX?

[Timo Koch]

> On 15. Dec 2021, at 18:16, Etienne Ahusborde  
> wrote:
> 
> Dear DuMuX,
> 
> With my colleagues, we are interested to perform a test case of injection of 
> CO2 into a reservoir with uniform background hydraulic head gradients.
> 
> 
> 
> The configuration is represented in the figure above and the groundwater flow 
> is 5.5m / year.
> 
> We are wondering how it is possible to impose this groundwater flow in DuMuX.
> 
> We inject CO2 as a source term and we tried to impose a flux of water on the 
> upstream boundary with a velocity of 5.5m / year. Unfortunately, it does not 
> seem to be the good way to do.
> 
> 

Dear Etienne,

what was the problem with the boundary condition approach? This seems like the 
solution with the smallest perturbation of the solution within the domain.
I don’t fully understand the meaning of the conditions you want to set. Since 
the groundwater flow pressure field will be influenced by the CO2 plume and in 
a non-linear way fixing a hydraulic heads or even superimposing a gradient 
within the domain additively would influence the physics.

However, maybe in your setup this wouldn’t be important.
In that case you, could modify the flux implementation, e.g. Dumux::DarcysLaw 
(or more specifically the specialisation for your discretisation method) and 
add a position-dependent background pressure field (e.g. via a spatial 
parameter interface) to the pressures appearing there.
Your pressure solution would then be the pressure difference to that background 
pressure field, so to minimise the influence on the solution the background 
pressure field should probably be centred around 0.
You can set your modified Darcy’s law class via the property “AdvectionType”.
As I haven’t tried something like that myself I can’t guarantee this works as 
expected.

Best wishes
Timo
> Has someone an idea to how we could impose that?
> 
> Thanks in advance for any help
> 
> Regards
> 
> Etienne
> 
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> DuMux mailing list
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[DuMux] How to prescribe an uniform background hydraulic head gradients in DuMuX?

[Etienne Ahusborde]

Dear DuMuX,

With my colleagues, we are interested to perform a test case of 
injection of CO2 into a reservoir with uniform background hydraulic head 
gradients.


picture

The configuration is represented in the figure above and the groundwater 
flow is 5.5m / year.


We are wondering how it is possible to impose this groundwater flow in 
DuMuX.


We inject CO2 as a source term and we tried to impose a flux of water on 
the upstream boundary with a velocity of 5.5m / year. Unfortunately, it 
does not seem to be the good way to do.


Has someone an idea to how we could impose that?

Thanks in advance for any help

Regards

Etienne

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