[ai-geostats] problem of spatial continuity of groundwater head

2004-11-23 Thread Kai.Zosseder
Title: 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 can´t 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 haven´t 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 that´s 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 it´s 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 Zoßeder

Bayerisches Geologisches Landesamt

Heßstr. 128

D-80797 München

Tel.: 089-9214 2655


http://www.bayern.de/gla

http://www.bis.bayern.de






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RE: [ai-geostats] problem of spatial continuity of groundwater head

2004-11-23 Thread Colin Daly
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
 
http://www.bib.ensmp.fr/cgi-bin/pubinterro?mots=geostatistique
 
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

  -Original Message- From: 
  [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] 
  Sent: Tue 11/23/2004 12:16 PM To: [EMAIL PROTECTED] 
  Cc: 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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Re: [ai-geostats] problem of spatial continuity of groundwater head

2004-11-23 Thread Isobel Clark
Kai

I would suggest you take a look at:

Introduction to Geostatistics: Applications in
Hydrogeology (Stanford-Cambridge Program)  
P. K. Kitanidis 

which is a great base to work from.

Isobel
http:///geoecosse.bizland.com

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[ai-geostats] CONFERENCE: EGU '05 Wavelet & time-frequency session

2004-11-23 Thread Olhede, Sofia C








Apologies for any cross-posting -

__

Dear Colleague,

 

The purpose of this message is to announce a session at the European

Geophysical Union meeting in Vienna, 24--29 April 2005, entitled

 

   "Wavelet and time-frequency analysis in the earth
sciences"

 

The session is being organized by J.M. Lilly and S.C. Olhede. A
detailed

description of the session, preliminary list of solicited speakers, and

some additional information are provided below.

 

Wavelet analysis and related approaches provide powerful new tools for

attacking problems involving statistical nonstationarity and coherent

structures, both in time series and in two or three dimensional fields.

Our goal is to bring together researchers involved with the development

of new mathematical and statistical methods with others whose interests


require, and provide the impetus for, such new approaches.  We
would 

like to encourage colleagues in either of these two categories to
submit 

abstracts.

 

Abstract submission is now open, with a deadline of January 21, about

two months from now.

 

Please feel free to forward this to other interested researchers.

 

Sincerely,

 

Jonathan Lilly  <[EMAIL PROTECTED]>,
Universite Pierre et Marie Curie

Sofia Olhede <[EMAIL PROTECTED]>, Imperial College London

 

**

Preliminary List of Solicited Speakers

 

   Marie
Farge 
Ecole Normale Superieure de Paris

   Patrick
Flandrin
Ecole Normale Superieure de Lyon

   Alfred Hanssen**   
 University of Tromso

   Matthias Holschneider   
Universitat Potsdam

   Frederik J.
Simons** University
 College London

   Andrew T.
Walden**   Imperial
 College London

 

[** = member of scientific organizing committee]

 

**

Session information for NP4.05

 

Wavelet and time-frequency analysis in the earth sciences

 

   Convener: J.M. Lilly 
Co-convener: S.C. Olhede

   Programme:  Nonlinear Processes in Geophysics 

 

Many natural processes of great interest are neither periodic nor 

stationary. Wavelet and time-frequency (or time-scale) analysis
therefore

holds much potential for earth scientists. Despite the vast array of
new

methods which have emerged over the past decade, there is substantial 

scope for broader application of these methods to real-world problems, 

as well as for the development of further mathematical tools to address


outstanding physical questions.

 

The purpose of this session is to survey the most promising methods for

the earth sciences, and to highlight specific examples of practical

applications. Several areas of special interest are:

 

  --- nonstationary stochastic modelling

  --- extraction of signals immersed in noise

  --- wavelet decompositions in two and three dimensions

  --- multiple-window methods.

 

Statistical considerations are particularly encouraged.

 

**

Additional information

 

Details on the Vienna EGU 2005 meeting are available online at

 

    http://www.copernicus.org/EGU/ga/egu05/

 

Information for this session (NP 4.05) is found by following the
"Call for

papers Programme" link followed by "Nonlinear Processes in
Geophysics".

Abstract submission is then handled online from this location.

 

Do not hesitate to contact us ([EMAIL PROTECTED] or

[EMAIL PROTECTED]) with any questions.

 

*

Jonathan Lilly
   [EMAIL PROTECTED]


Université Pierre et Marie Curie  Tel: 33
1 44 27 49 69 

Tour 45/55, 5 ème étage, boîte 100    Fax: 33 1 44 27 38
05

4 place
Jussieu  
US Fax: (530) 678-5835

75252 Paris cedex 05

*

 

Sofia Olhede   
  [EMAIL PROTECTED]


Imperial College London
  Tel: 44 20 75 94 85 68

Department of Mathematics
South Kensington Campus
London SW7 2AZ
  UK

 

 

 

 






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[ai-geostats] Spatial Neighborhood Weighting Matrix for Lattice data

2004-11-23 Thread Dean Monroe








Group:

 

    I
have an idea for designing a flexible weighting matrix for my county level
data.  In many of the texts on lattice analysis, I have found or rather
not found any standard techniques of defining a neighborhood for irregular lattices. 
In regular lattices we have Rook, Queen, Bishop, etc. configurations.  My
thought is: given a spatial weight matrix, for example

 

0  1  0

 

0.5    X  0.5

 

0  1  0

Where the weighting is different horizontally than
vertically.  Can an adaptive weighting matrix be made that switches the
direction of main weights (say 1) and minimum weights (say 0.5), based on a
property of location X?  

 

For instance, looking at counties for a given state.  Say
each county has a main road traveling through it at some direction.  I
would assume the county to county influence would be aligned with the
road.  So take two counties A and B; A has a main road running north to
south and B has a main road running east and west, can I build a weighting
scheme that 

 

For A

  

0  1  0

 

0.5    X  0.5

 

0  1  0

 

For B

0  0.5    0

 

1  X  1

 

0  0.5    0

 

Where the weighting scheme is dependent on the direction of the
main road?  Who you think this violates the idea of translation
invariance? 

 

 

Dean Monroe

OSU Environmental Sciences

 






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[ai-geostats] Spatial Neighborhood Weighting Matrix for Lattice data

2004-11-23 Thread Dean Monroe








Group:

 

    I
have an idea for designing a flexible weighting matrix for my county level
data.  In many of the texts on lattice analysis, I have found or rather
not found any standard techniques of defining a neighborhood for irregular lattices. 
In regular lattices we have Rook, Queen, Bishop, etc. configurations.  My
thought is: given a spatial weight matrix, for example

 

0  1  0

 

0.5    X  0.5

 

0  1  0

Where the weighting is different horizontally than
vertically.  Can an adaptive weighting matrix be made that switches the
direction of main weights (say 1) and minimum weights (say 0.5), based on a
property of location X?  

 

For instance, looking at counties for a given state.  Say
each county has a main road traveling through it at some direction.  I
would assume the county to county influence would be aligned with the
road.  So take two counties A and B; A has a main road running north to
south and B has a main road running east and west, can I build a weighting
scheme that 

 

For A

  

0  1  0

 

0.5    X  0.5

 

0  1  0

 

For B

0  0.5    0

 

1  X  1

 

0  0.5    0

 

Where the weighting scheme is dependent on the direction of the
main road?  Who you think this violates the idea of translation
invariance? 

 

 

Dean Monroe

OSU Environmental Sciences

 






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