Title: problem of spatial continuity of groundwater head
 Kai
 
There has been some work in this area
 
there are some references at the Ecole des Mines, Centre de Geostatistique website .... see the papers by Anne Dong and Chris Roth to start with....
 
 
Not all of these are published outside the center - but some are .....for example Anne's 1988 paper (in English) was in the Avignon Geostats Conference and the reference is given at the site above
 
Interesting area ...good luck!
 
 
Regards
 
Colin
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Sent: Tue 11/23/2004 12:16 PM
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Subject: [ai-geostats] problem of spatial continuity of groundwater head

Hello list,

A few days ago I had a discussion about spatial continuity of hydraulic heads and the following question: Is it allowed to use a krging technique for this variable?

First Opinion: there are different processes which influence the groundwater heads, e.g.:
        - gravity (hydraulic gradient)
        - grounwater recharge
        - anthropogenic influence (pumping/injection)
So there is a global trend which is overlayed from different additional trends like groundwater recharge and anthropogenic influence (pumping/injection) and you canÂt seperate these processes. These are the reasons that you get problems with the ergodicity and it is not possible to use kriging techniques, because you havenÂt a spatial continuity which is based on one process.

Second Opinion: There is a basic process for the groundwater heads (the movement based on the Darcy law and thatÂs it) . There exist a global trend (but you can handle it with Universal kriging) and the differences depend on the other processes maybe give you another trend by large scale problems (and then you have problems with the ergodicity and have to use moving window statistics to divide you working area). So you have a spatial continuity which is not necesseraly influenced by problems with ergodicity and you can use kriging techniques. Maybe the anthropogenic influence could be a process which disturb the spatial continuity.

I know itÂs quite a hydrogeology problem but anyway I would like to hear your opinion or experiences on that topic.

Looking forward to the answers,

Kai

Dipl. Kai ZoÃeder
Bayerisches Geologisches Landesamt
HeÃstr. 128
D-80797 MÃnchen
Tel.: 089-9214 2655

http://www.bayern.de/gla
http://www.bis.bayern.de


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