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MDTRAN - transform a block model onto a new prototype

 

Process Name

Menu Path

Link to Command Table
MDTRAN Click here

 

Introduction

MDTRAN creates a new block model on a different prototype and coordinate system to an existing block model.

The coordinate system for the new model may be translated and rotated with respect to the existing system.

How to use

The parameters to define the translation and rotation are the same as those used in the CDTRAN process. Three rotations about different axes may be specified. Refer to the Reference Manual entry for CDTRAN (Core System) for details of the translation and rotations.

Figure 1 (Examples section) shows an example where MODELA has been created on a local grid shown as X-Y, and it is required to create a corresponding model, MODELB, on the N-E grid system. In this example there is a translation of the origin and a single azimuth rotation of -30o about the Z axis

The center point of each subcell in the output model is identified, and the subcell values are set equal to the corresponding point in the input model. If the &PROTO model file contains records then the &OUT model will have the same configuration of cells/subcells, but with values taken from the &IN model. If there is no corresponding point in the &IN model, then absent data values will be assigned in the &OUT model.

If &PROTO is empty then the process will create subcells. Initially the entire model framework will be filled with cells and subcells as defined by the @X/Y/ZSUBCELL parameters. However only those subcells whose midpoints lie within a subcell of the &IN model will be assigned values and written to the &OUT model.

The assignment of values from the &IN model to the &OUT model is illustrated in Figure 2 (Examples section).

The translation and rotation are usually defined by the 12 parameters @X0, @Y0, @Z0, @XR0, @YR0, @ZR0, @ANGLE1, @ANGLE2, @ANGLE3, @ROTAXIS1, @ROTAXIS2, and @ROTAXIS3. Alternatively, a rotated model file may be defined as the optional &PROTOROT file. The data definition of this file will contain all the necessary translation and rotation information. This is particularly useful if for example it is required to create a model in the world coordinate system from a model which has been created using Studio 3's Rotated Model capability. A macro illustrating this is included in the Examples section.

A scaling function is provided so that for example meters may be converted to feet, miles to kilometers, etc. If the optional @FACTOR parameter is set, then the units of the points in the rotated system will be @FACTOR times the units of the unrotated system. This means that, for example, if @FACTOR = 0.3048 and input units are feet then the output units will be meters. @FACTOR is the number of output units which equals one unit. The input point X0, Y0, Z0 will be in input units, and XR0, YR0, ZR0 will be in output units.

The @INVERSE parameter allows an inverse coordinate rotation. If @INVERSE=1 then the input model &IN is assumed to be in the rotated system, and the output model &OUT will be in the unrotated system. Otherwise the parameters @X0, @Y0, @Z0, @XR0, @YR0, @ZR0, @ANGLE1, @ANGLE2, @ANGLE3, @ROTAXIS1, @ROTAXIS2, and @ROTAXIS3 are set exactly as they would be for the original conversion from the unrotated to the rotated system. In other words, X0, Y0 and Z0 is still the point in the unrotated system which matches point XR0, YR0, ZR0 in the rotated system, and ANGLE1, ANGLE2 and ANGLE3 are the angles to rotate from the unrotated system to the rotated.

The process can be used to create a model in the world coordinate system, based on a model which has been created using the Rotated Model option. This is illustrated in the Examples section.

 

Files, Fields and Parameters

Input Files

Name

Description

I/O Status

Required

Type

IN

Input model to be rotated. Must contain at least the fields XC, YC, ZC, XINC, YINC, ZINC, XMORIG, YMORIG, ZMORIG, NX, NY, NZ, and IJK. May also contain value fields. It must be sorted by IJK.

Input

Yes

Block Model

PROTO

Prototype model defining output model. Must contain at least the fields XC, YC, ZC, XINC, YINC, ZINC, XMORIG, YMORIG, ZMORIG, NX, NY, NZ and IJK. May contain cells and subcells. Any fields which are in PROTO but not in IN will have their values carried across into OUT.

Input

Yes

Model Prototype File

PROTOROT

Optional file containing the rotation and translation parameters stored as the default of implicit fields ANGLE1, ANGLE2, ANGLE3, X0, Y0, Z0, XMORIG, YMORIG, ZMORIG, ROTAXIS1, ROTAXIS2 and ROTAXIS3. Fields XMORIG, YMORIG and ZMORIG correspond to parameters XR0, YR0 and ZR0. The other nine fields have the same name as the corresponding parameters. If this file is specified and has valid values for all twelve fields then the parameter entries for rotation and translation are ignored. This file can be created using the Rotated Model option in process PROTOM. Data will then be transformed into the local (rotated) coordinate system of the model.

Input

No

Model Prototype File

Output Files

Name

I/O Status

Required

Type

Description

OUT

Output

Yes

Block Model

Output model. Will have default field values from PROTO for XC, YC, ZC, XINC, YINC, ZINC, XMORIG, YMORIG, ZMORIG, NX, NY, and NZ. Will also contain any value fields from IN and PROTO. It will be sorted by IJK.

Parameters

Name

Description

Required

Default

Range

Values

ANGLE1

First rotation angle clockwise in degrees, around axis ROTAXIS1. It must lie between -360.0 and +360.0. A value of zero indicates no rotation. (0)

No

0

-360, 360

Undefined

ANGLE2

Second rotation angle clockwise in degrees, around axis ROTAXIS2. It must lie between 360.0 and +360.0. A value of zero indicates no rotation. (0)

No

0

-360, 360

Undefined

ANGLE3

Third rotation angle clockwise in degrees, around axis ROTAXIS3. It must lie between -360.0 and +360.0. A value of zero indicates no rotation. (0)

No

0

-360, 360

Undefined

ROTAXIS1

Axis around which first rotation angle will occur. 0 for no rotation, 1 for X axis, 2 for Y axis, 3 for Z axis. (3)

No

3

0,3

0,1,2,3

ROTAXIS2

Axis around which second rotation angle will occur. 0 for no rotation, 1 for X axis, 2 for Y axis, 3 for Z axis. (1)

No

1

0,3

0,1,2,3

ROTAXIS3

Axis around which third rotation angle will occur. 0 for no rotation, 1 for X axis, 2 for Y axis, 3 for Z axis. (3)

No

3

0,3

0,1,2,3

X0

X co-ordinate of known point in both systems, in unrotated co-ordinate system (0).

No

0

Undefined

Undefined

Y0

Y co-ordinate of known point in both systems, in unrotated co-ordinate system (0).

No

0

Undefined

Undefined

Z0

Z co-ordinate of known point in both systems, in unrotated co-ordinate system (0).

No

0

Undefined

Undefined

XR0

X co-ordinate of known point in both systems, in rotated co-ordinate system (0).

No

0

Undefined

Undefined

YR0

Y co-ordinate of known point in both systems, in rotated co-ordinate system (0).

No

0

Undefined

Undefined

ZR0

Z co-ordinate of known point in both systems, in rotated co-ordinate system (0).

No

0

Undefined

Undefined

XSUBCELL

Cell division in X direction in OUT. Only used if PROTO is empty. Default (1), max 20.

No

1

1,20

Undefined

YSUBCELL

Cell division in Y direction in OUT. Only used if PROTO is empty. Default (1), max 20.

No

1

1,20

Undefined

ZSUBCELL

Cell division in Z direction in OUT. Only used if PROTO is empty. Default (1), max 20.

No

1

1,20

Undefined

FACTOR

Co-ordinate scaling factor. Default (1). The rotated co-ordinate system units will be e.g. 0.3048 for a grid in metres on an unrotated grid in feet.

No

1

Undefined

Undefined

INVERSE

Inverse transformation. Default (0).

Option

Description

0

Rotate from IN through {ANGLE1, ANGLE2,ANGLE3} to OUT.

1

Inverse transformation to above; OUT is in rotated system; IN is in unrotated system; ANGLE1-3 are same angles as for 0.

No

0

0,1

0,1

PRINT

Print flag. Default (0). 0 - minimum output. 1 - details of each subcell in output model.

No

0

0,1

0,1

 Notes

There are three MDTRAN scenarios:

 

&IN

&PROTO

&PROTOROT or Parameters

&OUT
1 Local grid, but not a rotated model World grid Rotations INVERSE=0 World grid
2 Rotated model World grid &IN rotated model prototype INVERSE=1 World grid
3 World grid Rotated model prototype &PROTO rotated model prototype INVERSE=-0 Rotated model

 

  • To convert from a local grid (without rotated model fields) to a rotated model simply append the rotated model prototype to the local grid model.
  • It is not possible to directly convert from a rotated model to another rotated model with different rotations. To do this you would have to run MDTRAN twice, first for scenario 2 then for scenario 3.
  • Usually, &PROTO will not contain records. If it does then only cells at &PROTO locations will be assigned values from &IN.
  • The rotations can be defined using either &PROTOROT or the !MDTRAN parameters. If the &PROTOROT file is defined then its values take precedence over the parameters.
  • It would seem that MDTRAN is set up for scenario 1 rather than 2. In scenario 1 there are no rotated model fields in &IN so they are not copied to &OUT.
  • In scenario 2 the rotated model fields in &IN are not identified as rotated model fields so they get copied from &IN to &OUT; then they have to be removed.

Example

Example 1:

Model A was created on a local grid, and it is required to translate and rotate its data so that it is held in a model oriented to the standard grid, as shown in Figure 1. It is required to create model B with 4 subcells in X and Y and 2 in Z:

> !START M1
!REM =====================================================
!REM Define a prototype model in the standard grid
!REM =====================================================
!PROTOM &OUT(NEWPROTO)
N # No MINED field
Y # Yes - subcells
2350 # New model X origin
3050 # New model Y origin
500 # New model Z origin
10 # New model cell size in X
10 # New model cell size in Y
10 # New model cell size in Z
55 # Number of cells in X for new model
45 # Number of cells in Y for new model
20 # Number of cells in Z for new model

!REM =====================================================
!REM MODELA was created on a local grid. 
!REM MODELB will be created on the standard grid.
!REM =====================================================
!MDTRAN&IN(MODELA), &PROTO(NEWPROTO), &OUT(MODELB),
> @ANGLE1=-30, @ANGLE2=0, @ANGLE3=0,
@ROTAXIS1=3, @ROTAXIS2=0, @ROTAXIS3=0,
@X0=0, @Y0=0, @Z0=0,
@XR0=2000, @YR0=3000, @ZR0=0,
@XSUBCELL=4, @YSUBCELL=4, @ZSUBCELL=2,
@FACTOR=1, @INVERSE=0

!END



Example 2:

Create a model in the world coordinate system from a model which was created using Studio 3's Rotated Model option.


!START M2
!REM =====================================================
!REM ROTMOD is a rotated model which has been created
!REM using Studio 3's rotated model options.
!REM 
!REM PROTOM1 is a normal model prototype, defined in the
!REM world coordinate system.
!REM 
!REM TEMPMOD will be created in the world coordinate system.
!REM 
!REM Set @INVERSE to 1, because the rotations defined in the
!REM PROTOROT DD are for the original rotation.
!REM =====================================================
!MDTRAN&IN(ROTMOD), &PROTO(PROTOM1), &PROTOROT(ROTMOD),
&OUT(TEMPMOD), @FACTOR=1, @INVERSE=1

!REM =====================================================
!REM Now remove the rotated model fields from TEMPMOD, to
!REM create WORLDMOD
!REM =====================================================
!SELDEL&IN(TEMPMOD), &OUT(WORLDMOD), 
> *F1(X0), *F2(Y0), *F3(Z0),
*F4(ANGLE1), *F5(ANGLE2), *F6(ANGLE3),
*F7(ROTAXIS1), *F8(ROTAXIS2), *F9(ROTAXIS3)

!END

MODELA uses the X-Y grid axes; MODELB uses the E-N grid axes.

The prototype for MODELB was defined to cover all of MODELA. 
Its limits (in the E-N grid and rounded outwards) can be calculated or measured to be:
E = 2350 to 2900, N = 3050 to 3500

 


 

Input model:subcell A: Au = 6.0, subcell B: Au = 4.0, subcell C: Au = 3.8

Output model:subcell   1 has value from input model subcellBie Au = 4.0
                        2                                    A ie Au = 6.0
                        3                                    B ie Au = 4.0
                        4                                    Cie Au = 3.8

Error and Warning Messages

Message

Description

Solution

>>> Fatal error: &ffffff model file error <<<

Where fffff is &IN or &PROTO. The program found an error trying to access the file you specified as &fffff.

Check that the file name exists.

 

 

 

>>> Fatal error: &fffff model field error <<<

Where fffff is &IN or &PROTO The program found an error on trying to access one of the fields in the file you specified as &fffff.

Check that the file contains the 13 compulsory model fields, and that they are of the correct type (Alpha/Numeric, Implicit, Explicit).

 

 

 

>>> Fatal error: &fffff has IJK=mmmmmmm. Must be between 0 & nnnnnnnn <<<

where fffff is &IN or &PROTO. The IJK values for subcells in a model range from 0 to a maximum calculated from (NX*NY*NZ)-1. The &fffff model you specified has an IJK of mmmmmmmmmm which is outside this range.

Check how the model was created, and that there are no subcells which lie outside the model limits. Perhaps run IJKGEN in-place to re- calculate the IJK values.

 

 

 

>>> Fatal error: &fffff must be sorted by IJK <<<

Where fffff is &IN or &PROTO.

Use MGSORT or SORTX to sort the &fffff model on ascending IJK prior to use by MDTRAN.