Process Help

FFUNC - estimate the geostatistical F-function

 

Process Name

Menu Path

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FFUNC

Estimate ribbon | SMU Analysis | F Function

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Introduction

Estimate the geostatistical F function.

How to use

The F function estimates the variance of a point in a block, based on a variogram model which is selected from the input variogram model file VMODPARM.

The block whose F value is to be calculated is simulated by a 3 dimensional matrix of discretisation points. The F value is calculated as the average value of the variogram between each possible pair of discretisation points.

The number of discretisation points in each of the X, Y and Z directions is specified by parameters IPOINTS, JPOINTS and KPOINTS. It is recommended that a minimum of 4 x 4 x 4 points is used. The processing speed is proportional to the number of points used.

You will be prompted interactively to enter the X, Y and Z dimensions of the block. The F value will be displayed in the Output window, and you may then enter the dimensions of another block, or ! to terminate the process.

By estimating the F-function for two block sizes, the theoretical Dispersion Variance for selective mining units within a kriged block can be calculated. This can then be used as input to processes SMUHIS and SMUMOD.


Files, Fields and Parameters

Input Files

Name

Description

I/O Status

Required

Type

VMODPARM

Input variogram model file.

Input

Yes

Variogram - Model

Output Files

Name

I/O Status

Required

Type

Description

OUT

Output

No

Undefined

Optional output file. This will contain the block dimensions and F value in fields XINC, YINC, ZINC and FVALUE.

Parameters

Name

Description

Required

Default

Range

Values

VMODNUM

Variogram model number, as defined by VREFNUM field in VMODPARM file. Default (1).

No

1

Undefined

Undefined

LOG

Log/Normal variogram flag. Default(0). The variogram model, as defined by VGRAM , is Normal if LOG =0 or Lognormal if LOG =1.

No

0

0,1

0,1

IPOINTS

Number of discretisation points in X dimension to simulate block (6)

No

6

Undefined

Undefined

JPOINTS

Number of discretisation points in Y dimension to simulate block (6)

No

6

Undefined

Undefined

KPOINTS

Number of discretisation points in Z dimension to simulate block (6)

No

6

Undefined

Undefined


Notes

You will be prompted interactively to enter the dimensions of the block whose F value is required.


Example

!FFUNC  

&VMODPARM(vmodel), &OUT(fvalues), @VMODNUM=1, @LOG=0,

  

@IPOINTS=6, @JPOINTS=6, @KPOINTS=6

Calculation of Average Value of Variogram within 3D Block
---------------------------------------------------------

Variogram model file VMODEL includes fields for up to 9 structures.
The file contains 10 records.

Model 1.00 has been retrieved from file.
Number of fully defined structures = 2
N Nugget Variance = 1.6000
G1 Rotation Angle 1 = 22.5  X1 Rotation Axis 1 = 3 (Z)
G2 Rotation Angle 2 = 0.0   X2 Rotation Axis 2 = 2 (Y)
G3 Rotation Angle 3 = 180.0 X3 Rotation Axis 3 = 1 (X)
Structure Model Type Range X Range Y Range Z Spatial Var
               T          AX      AY      AZ        C
    1          1        19.0    23.0    43.0   2.9000
    2          1        38.0    64.0    90.0   2.3000
    3          1           -       -       -        -
Number of discretisation points in X,Y,Z =   6   6   6

You will now be prompted to enter the X,Y and Z dimensions of the 3D block.

Enter the next block size (or ! to terminate):
----------------------------------------------
X Block Size >10
Y Block Size >12
Z Block Size >5

F-function estimate for block of size 10.000 x 12.000 x 5.000
Average value of variogram in block = 3.1309

Enter the next block size (or ! to terminate):
----------------------------------------------
X Block Size >!


Error and Warning Messages

Message

Description

Solution