Hi All,

On 28 March 2010 22:14, Pierre GM wrote:
> On Mar 28, 2010, at 4:47 PM, Andrea Gavana wrote:
>> HI All,
>>
>> On 28 March 2010 19:22, Robert Kern wrote:
>>> On Sun, Mar 28, 2010 at 03:26, Anne Archibald <[email protected]> 
>>> wrote:
>>>> On 27 March 2010 20:24, Andrea Gavana <[email protected]> wrote:
>>>>> Hi All,
>>>>>
>>>>>    I have an interpolation problem and I am having some difficulties
>>>>> in tackling it. I hope I can explain myself clearly enough.
>>>>>
>>>>> Basically, I have a whole bunch of 3D fluid flow simulations (close to
>>>>> 1000), and they are a result of different combinations of parameters.
>
>> It seems like this whole interpolation stuff is not working as I
>> thought. In particular, considering scalar-valued interpolation (i.e.,
>> looking at the final oil recovery only and not the time-based oil
>> production profile), interpolation with RBFs is giving
>> counter-intuitive and meaningless answers. The issues I am seeing are
>> basically these:
>
> Which is hardly surprising: you're working with a physical process, you must 
> have some constraints on your parameters (whether dependence between 
> parameters, bounds on the estimates...) that are not taken into account by 
> the interpolation scheme you're using. So, it's back to the drawing board.

The curious thing is, when using the rbf interpolated function to find
a new approximation, I am not giving RBFs input values that are
outside the bounds of the existing parameters. Either they are exactly
the same as the input ones (for a single simulation), or they are
slightly different but always inside the bounds. I always thought
that, at least for the same input

> What are you actually trying to achieve ? Find the best estimates of your 10 
> parameters to match an observed production timeline ? Find a space for your 
> 10 parameters that gives some realistic production ?
> Assuming that your 10 parameters are actually independent, did you run 
> 1000**10 simulations to test all the possible combinations?  Probably not, so 
> you could try using a coarser interval between min and max values for each 
> parameters (say, 10 ?) and check the combos... Or you could try to decrease 
> the number of parameters by finding the ones that have more influence on the 
> final outcome and dropping the others. A different problem all together...
> My point is: don't be discouraged by the weird results you're getting: it's 
> probably because you're not using the right approach yet.
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-- 
Andrea.

"Imagination Is The Only Weapon In The War Against Reality."
http://xoomer.alice.it/infinity77/

==> Never *EVER* use RemovalGroup for your house removal. You'll
regret it forever.
http://thedoomedcity.blogspot.com/2010/03/removal-group-nightmare.html <==
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