[R-sig-Geo] Nested Variogram Model for 3D data using gstat

[ABM Firoz]

Dear All,

 

I am facing problem to obtain the nested variogram model for the 3D
lithological data. I have 3D data, in which the coordinate are x,y,z (z
corresponds to the depth) and the lithofacie information for different
materials as a binary values (Ind01, Ind02, Ind03, Ind04, Ind05) . Now I
would like to develop sequential indicator simulation to obtain the facies
distribution for each of the category. I have used gstat to develop the
vertical and horizontal varigram but unable to fit as a nested variogram for
both vertical and horizontal direction. Is there any one help me to combine
the vertical and horizontal variogram in one nested structure. 

The data I have used from the greengoblin data. A dropbox link has been
placed at the end of this post to obtain the data.

 

The code I have used as follows to obtain the vertical and horizontal
variogram for the Ind03 facies (medium sand)

green_gstat <- as.data.frame(green_goblin)

coordinates(green_gstat) = ~X+Y+Z

names (green_gstat)

class(green_gstat) 

# vertical variogram 

ind03_vert <- variogram((Ind03)~X+Y+Z, green_gstat, cutoff = 250, width= 2,
alpha= 0, beta = 90)

# fitting the variogram model

ind03_fit <- fit.variogram (ind03_vert, vgm(1, "Exp", 500,1))

# plotting

plot(ind03_vert, ind03_fit)



# estimating the horizontal variogram in omni direction

Ind03_hori_omni <- variogram(ind03, cutoff = 15000, width = 1000, alpha = 0)

# fiting variogram mdoel

ind03_fit_dir <- vgm(.188, "Exp", 1500, .05, anis = c (45, .25))

# obtain the fit model informaiotn 

Ind03_fit_vrio_hor <- fit.variogram(Ind03_hori_omni,vgm(.188, "Exp", 1500,
.05, anis = c (45, .25)))

# plotting the data

plot(Ind03_hori_omni,ind03_fit_dir)



# now I have tried to go for the nested variogram approach, typically what I
have found there, that one can create the nested model like this from the
same variogram, but using diffent fitting options. 

ind03_vertnested <- fit.variogram (ind03_vert, vgm (1, "Exp", 500, add.to =
vgm (.188, "Exp", .05, anis = c(45, 0.25))))

here I have only used the ind03_vert (variogram), but I also have a
horizontal variogram model (Ind03_hori_omni). So, how I can incorporate two
model into a single variogram model. A feedback in this regard would be
highly appreciate. Or, is there any other option to create a 3D variogram
modeling. 

 

To have the data, please follow this dropbox link for the easy access. 

 

Link to the data-
https://www.dropbox.com/s/6xl8zh7ofntlna6/GreenGoblin.csv?dl=0

 

 

 

 

--

A.B.M Firoz
Researcher- GIS & Hydrological Modeling

 

ITT- Institute for Technology and Resources Management 

in the Tropics and Subtropics

Technology Arts Sciences
TH Köln - University of Applied Sciences 

 

T:  +49 221 8275-2059

F: +49 221 8275-2736
E :  <mailto:abm.firoz at fh-koeln.de> abm.firoz at fh-koeln.de 

 

Kalk- Campus
RobertStrasse  2
51105 Köln Germany

 <http://www.tt.fh-koeln.de/> www.tt.fh-koeln.de
 <http://www.th-koeln.de/> www.th-koeln.de

 

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