upscaling intro

7/25/2019 Upscaling Intro

1/40

Introduction to upscaling

using Eclipse (Tutorial 3)


2/40

Overview

Input data for models

Upscaling intro

Example


3/40

Cell properties

Dimensions (!!"s feet)

#orosit$

#ermea%ilit$

&multipliers

'T

elative permea%ilit$

Capillar$ #ressure


4/40

Darc$"s *aw

*

##+,- !

=

.pecial Core ,na*$sis

(.C,*) Data

##!

,-

x x / *

* t$picall$ 303! cm

E-uation for %ot1 fluids

*

##++

,- !frela%s

f

f

=

.w

f

rel+ oil

water


5/40

,pplication of .C,*

-

f

rel+

.C,* (dx2cm"s)odel (dx2!!"s feet)


6/40

41at is wrong wit1 t1is5

'umerical dispersion&introduced

Capillar$ pressure&Ignored

6eterogeneit$

&Ignored .u%0gridcell ravit$ effects

&Ignored


7/40

Water cut

Time (days)

0 50 100 150 200 250 300 350

Watercut

0.0

0.2

0.4

0.6

0.8

1.0

Fine grid

Coarse grid

Very coarse grid

F!T

Time (days)

0 50 100 150 200 250 300 350

F!T("T#)

0

50000

100000

150000

200000

250000

300000

350000

'umerical dispersion

dx 27!! ft

dx 2 ft

dx 27! ft

Example D 1omogeneous model (899 mD):

;7!! x 7! x 7! feet< ;7!! x x cells Converted from Tutorial


8/40

0

0.1

0.2

0.3

0.4

0.5

0.6

0.$

0.8

0.%

1

0 0.2 0.4 0.6 0.8 1

&r'

&ro

!=>?

!=99

!=7;

!=3?

!=;7

.w

dx2 ft

dx27! ft

dx27!! ft


9/40

Capillar$ pressure

*arge grid cells (! grid cells of !!m)&!!!#si applied

ressure gradient across eac1 cell 2 !!#si

.mall grid cells (!@!!! grid cells of !=m)&!!!#si applied

ressure gradient across eac1 cell 2 !=#si


10/40

eterogeneity eects

kvk

h


11/40

Auild representativemodels

&.mall0scale ,ppl$ representative

%oundar$ conditions

un simulation .olve Darc$"s law

seudo program

.olution 0 upscaling


12/40

,pplication of .C,*

-

f

rel+



13/40


,pplication of

.C,* and Upscaling

-

f

rel+

cm scale

!!"s feet

f

rel+odel

(dx 2 m"s)

Upscale


14/40

unning pseudo

Clic+ unBpseudo=exe

.et environment

*oad files

Define t1e pseudo grid

& Interactive or from file

enerate pseudos #lot pseudos

Output pseudos


15/40

unning pseudo

Clic+ unBpseudo=exe

.et environment

*oad files




Output pseudos


16/40

#seudo #rogram


17/40

unning pseudo

Clic+ unBpseudo=exe

.et environment

*oad files




Output pseudos


18/40


19/40

unning pseudo

Clic+ unBpseudo=exe

.et environment

*oad files




Output pseudos


20/40


21/40


3 x coarse cells

i2; i28


22/40

unning pseudo

Clic+ unBpseudo=exe

.et environment

*oad files


& Interactiveor from file


Output pseudos


23/40

i2; i28


24/40

unning pseudo

Clic+ unBpseudo=exe

.et environment

*oad files




Output pseudos


25/40


26/40

unning pseudo

Clic+ unBpseudo=exe

.et environment

*oad files




Output pseudos


27/40

Darc$"s *aw

*

##+,- !

=

Calculate pseudos

##!

,-

x x / *

E-uation for %ot1 fluids

*

##++

,- !frela%s

f

f

=

.w

frel+ oil

water


28/40

Calculate pseudos & Darc$"s *aw

#ressure .w

wo


29/40

Calculate pseudos & Darc$"s *aw

*

##++

,- !frela%s

f

f

=

=

==

;!@+

+@8i

ff --

#! #


30/40


31/40

unning pseudo

Clic+ unBpseudo=exe

.et environment

*oad files Define t1e pseudo grid



Output pseudos


32/40


33/40


34/40


35/40

unning pseudo

Clic+ unBpseudo=exe

.et environment

*oad files Define t1e pseudo grid



Output pseudos


36/40


37/40

.4'

.O;


38/40

F!T

Time (days)

0 50 100 150 200 250 300 350

F!T("T#)

0

50000

100000

150000

200000

250000

300000

350000

Water cut

Time (days)

0 50 100 150 200 250 300 350

Watercut

0.0

0.2

0.4

0.6

0.8

1.0

'umerical dispersion

wit1 upscaling Example

Upscale all of fine grid & perfect & can"t do

Upscale single cell & less exact

dx 27!! ft

dx 2 ft

dx 27! ft

Upscaled one cell

dx 27!! ft

Fine grid

Coarse grid

Very coarse grid

!seudo (e*act)

!seudo (sing+e)

Upscaled all

dx 27!! ft


39/40

Tutorial 3

-

f

rel+

.C,* (dx2cm"s)odel (dx27! feet)


40/40

.C,* (dx2cm"s)odel (dx27! feet)

Tutorial 3

-

f

rel+

f

rel+

Upscale

odel

(dx 2 ft)

upscaling intro

Documents