Analisis de Reservorio

 

EIEL]CDV OE AJACGVGV OE XEVEX^DXGDV Ej uj reservdrgd oe kas que se ejfuejtra a 7>55 nt oe prdnujogoao fuejta fdj uj pdzd oe ogáletrd oe ?.5“, odjoe se reacgza reacgza uja prueha gsdfrdjac gsdfrdjac oe prdouffgöj a uja presgöj estátgfa estátgfa oec reservdrgd reservdrgd oe 7?;? psg fdj uja telperatura telperatura oe 826¹N ej ec fuac se rekgstra uj A]G oec fdjoejsaod oe 58¹ y uj naftdr vdculçtrgfd oec akua oe 1.=; Hhc/HN ya que ca kraveoao espefgngfa oec kas es oe =.>5 fdjsgoerajod uja presgöj oe ahajodjd oe 68== psg facfucar9 a) Xeacgzar ec G]X oec reservdrgd ej estaod trajfgejte y estahgcgzaod.   h) Ec ìjogfe oe prdouftgvgoao a ca presgöj oe ahajodjd.   f) Ec fauoac oec kas a uja presgöj oe ndjod ndjod oe 5=== psg.

OA_DV OE CA ]XUEHA GVDFXDJAC ]ergdod oe _gelp nuid d (br) Ncuid 1 Ncuid 8 Ncuid 6 Ncuid ? Ncuid estahgcgzaod

FBD@E ]resgöj (F@/6>") (]w) psg

]resgöj Q kas (]wb) psg (LL]FO)

Qfdjo (H]O)

Qakua (H]O)

18 18 18 18

8? 82 68 6>

;765 ;2?8 ;>61 ;655

>2>5 >66; >=>8 5756

16,18 1?,?; 1>,65 1;,85

182 1?> 1>1 122

7; 1=7 11; 187

1>

68

;?5>

>=62

1>,25

1;2

112

LE_DOD VGL]CGNGFAOD

 

QF ")

Qakua (H]O)

CDK(Qk)

CDK(]r8]nw8)

NCUID 1

18

8?

;765

>2>5

16,18

182

7;

1,11;7662?

;,?82=18??5

NCUID 8 NCUID 6

18 18

82 68

;2?8 ;>61

>66; >=>8

1?,?; 1>,65

1?> 1>1

1=7 11;

1,1>=?>256 1,81651;;>

;,?511>;;68 ;,?72>?2?1?

NCUID ?

18

85

;655

5756

1;,85

122

187

1,86>;271

;,5581278>;

NCUID EV_AHGCGYAOD

1>

68

;?5>

>=62

1>,25

1;2

112

1,88>57771

;,5665;218

NCUID 1 9 cdk ( 7?;? 8∘;7658 ) < ;.?82=1 NCUID 8 9 cdk ( 7?;? 8∘;2?88 )618 )?2 NCUID ? 9 cdk ( 7?;? 8∘;6558 ) < ;.55812 CDK(]r8) ; AIUV_E CGJEAC FDJ NG_ OA_A9 CDK(]r8-]nw8) ^s CDK(Qk)

W < =.771;?∛ R + >.61=1 j<

  1 ;

XEEL]CAYAJOD EJ CA EFUAFGDJ 9

W < =.771;?∛ R + >.61=1 ;.756=>>; < =.771;?∛ R + >.61=1 R5>>  R 

 ADN >

ADN=7

]nw===

Qk< ?.662??E-; ( 7?;? ∘;=== ) ]nw

Qk(LL]FO)

7?;?

=

2===

18,22181

;===

8=,?>=7

>===

8;,=?7>

5===

68,>658

?===

6;,811

6===

?=,;;6>

8===

?6,6172

1===

??,2?21

=

?5,65;>

< 8;,=?7>

G]X 1==== 7=== 2=== ;=== >===     n 5===    w    ]

?=== 6=== 8=== 1=== =

=

5

1=

15

8=

85

Qk LL]FO

G]X ]AXA EV_AHGCGYAOD9

W < jR +h

h 577

6=

65

?=

?5

5=

 

h .61>7 W < =.771;?∛ R + >.61=1  Rest <

;.756=;∘ >.61>7   ?7;7; =.771;?  R 

1.>?7;7;

 ADN 

8===

?8,>?=7

1===

??,1?58;

=

??,>?>2

G]X 1==== 7=== 2=== ;=== >===    g    s    p 5===     n    w ?===    ] 6=== 8=== 1=== =

=

5

1=

15

8=

85

Qk LL]FO

6=

65

?=

?5

5=

 

LE_DOD IDJEV HCDUJ_ AJO KCAYE

Qk<

8 8 8 ∘ A + ∙   A A + ? H ∘( ] r ∘ ][N )

8H

8 8 ( 7?;? ∘;765 ) NCUID 1 9

 

16.8

NCUID 89

NCUID 69 NCUID 69 NCUID 69

( 7?;? 8∘;2?88 ) 16.8

  ,61;

( 7?;? 8∘;>618 ) 16.8

 

( 7?;? 8∘;?5>8 ) 16.8

]r (psg)

  ")

]XEVGDJ (]nw)]sg

]XEVGDJ (]wb)]VG

Q kas (LL]FO)

Qfdjo (hpo)

Qakua (H]O)

(]r8-]nw8)/Qk

NCUID 1

18

8?

;765

>2>5

16,18

182

7;

8=?81=;,5?>

NCUID 8

18

82

;2?8

>66;

1?,?;

1?>

1=7

175872>,61;

 

NCUID 6

18

68

;>61

>=>8

1>,65

1>1

11;

17821=?,276

NCUID ?

18

85

;655

5756

1;,85

122

187

8=>;82?,11>

NCUID EV_AHGCGYAOD

1>

68

;?5>

>=62

1>,25

1;2

112

8=8;521,==7

AIUV_E CGJEAC FDJ NG_ OA_A9 (]r8-]nw8)/Qk ^s Q kas

W < 821.771>∛ R + 17766=>.?8

 

H

A

ADN ]wn .?8 + ∙ 17766=>.?8 17766=>.?8 + ?∛821.771>∘( 7?;? r ∘=❑) Qk< ??.;? LL]FO  LL]FO   < ??.;? 8∛821.771>

]wn .?8 + ∙ 17766=>.?8 17766=>.?8 + ?∛821.771>∘( 7?;? r ∘1===❑)   < ??.85 ??.85 LL]FO  LL]FO Qk< 8∛821.771>

]wn .?8 + ∙ 17766=>.?8 17766=>.?8 + ?∛821.771>∘( 7?;? r ∘8===❑) Qk<   < ?8.;>6 ?8.;>6 LL]FO  LL]FO 8∛821.771>

]wn .?8 + ∙ 17766=>.?8 17766=>.?8 + ?∛821.771>∘( 7?;? r ∘6===❑) ?=.826 LL]FO  LL]FO Qk<   < ?=.826 8∛821.771>

 

]nw

Qk(LL]FO)

7?;?

=

2===

18,272

;===

8=,62;7>

>===

8>,2>>?2

5===

68,667711

?===

6>,21=?2

6===

?=,82?65

1==== 7=== 2=== ;=== >===     n 5===    w    p ?=== 6===

8=== 1===

?8,;>6>8 ??,85=6

8=== 1=== =

=

??,;?5;

G]X

=

5

1=

15

8=

85

6=

Qk LL]FO

G]X ]AXA EV_AHGCGYAOD9

W < l∛ R + h  Rest <

;.756=;∘ >.61;11   ?757 =.771;?

h

771=7

6

;>61

1>,65

1>1

1=1558

?

;655

1;,85

122

71;55

;?5>

1>,25

1;2

7?>>8

EV_AH.

7;71>

Facfucar %F;+ (Beptajd pcus)

  KFX %F; + ´ ;=>2=

(

∘ =.28=;

) %F; + ´

(

7;71> ;=>2=

∘=.28=;

)

%F; + ´ =,;>5

Facfucar ca ]resgöj oe rdfìd

P

 @   @ 8 8

  KFX ( @  ?  ? ∛_r  ]r ∛% F ; F ; @  ; ; ) ∘ @ >

\

 

 

 @  1  1.;;>?2 @ 5  @  8  @   >  8< =.===>2

 @  6  6

=.=7;?1

∘ =.87?;2

=,;>5

∛2.?1;>6∛58(∘=.=?;26∛826

=.8218>

∘=.===>2∛=,;>51.7=>66)

\

 ]r ;=,7=>

6;6,7>7

1,6>76

=,8>1;1

=,=68>2

811>71,285

61?2,=7?;1>

7===

>;=,7=>

6;6,7>7

1,68;1

=,85>56

=,=68

81175?,76;

8751,71?=7>

2===

>;=,7=>

6;6,7>7

1,8677

=,8??=>

=,=6=?8

818=;7,=51

858;,22=1=2

;===

>;=,7=>

6;6,7>7

1,15>;

=,88271

=,=82>5

81117=,>72

81=?,>1=652

>===

>;=,7=>

6;6,7>7

1,=2=6

=,81==7

=,=8>>>

8=26?6,;6?

1>25,=;578>

5===

>;=,7=>

6;6,7>7

1,=15=

=,12>66

=,=8??8

8=1>27,>2;

18;5,=?85=5

?===

>;=,7=>

6;6,7>7

=,7>>>

=,15>56

=,=88=8

12;762,>;5

225,?1?1?62

6===

>>>,8;>

6;8,862

=,72;7

=,11722

=,=17?1

15>?=8,2;

5?1,=;85778

8===

>>>,8;>

6;8,862

=,765;

=,=2?62

=,=1;55

181;;?,=62

8>8,275>718

1===

>>>,8;>

6;8,862

=,22;1

=,=???7

=,=157;

;=5>=,28>5

;=,5>=28>?;

=

>>>,8;>

6;8,862

=,2?86

=

=,=1?7>

=

=

Kraveoao Espefgfa oec Fdjoejsaod9

 

ζd <

  1?1.5 161.5 + ½ A]G 

ζd <

  1?1.5 161.5 + 58

ζd < ´=,;;11

Kraveoao Espefìfa oe ca Lezfca9

?571∛ζd KFX 1186 1+ KFX

οk + οl <

=,>5+ ?571∛=,;;11 7;71> οl <   1186 1+ 7;71>  

οl ;2?

Ldjdásgfd para ]5∘6;.5∛=,>5  (]sga)

 ]pf ;=,7=> (]sga)

8 _pf 2 + 685∛οk ∘18.5∛οk (X¹) 8 _pf 2 + 685∛=,>5∘18.5∛=,>5 (X¹)

_pf 7 (X¹)

 

Fdjstajte ]seuodreoufgoas9 ]seuodreoufgoas9

 ]sr <

 ]   _r  _sr  _sr <  ]pf _pf

 ]sr <   7?;? _sr <   ;?6 6;6,7>7 >;=,7=>

 ]sr   =.68 ∘ =.=6;  ]sr 8 + 7 (_sr∘1 )∛ ]sr > _sr ∘=.2> 1=

H8 ∘=.86∛1,72; ) 1?,181 +

(

)

  =.=>>   =.68 ∘ =.=6; 1?,1818 + 7 ( 1,72;∘1) ∛1?,181> 1,72; ∘=.2> 1=

H,>=;?>

 

F  ∘=.?7∛1,72; + =.128? ´ 1,72;  O< ´1,1?=?6

Y 17?6 e

>,>=;?>

  + ´=,=6>57´ 1?,1811,1?=?6

Y 76

(Hgásgfd) para ]∛οl

 ]pf .2∘161∛=,>;2? ∘6.>∛ =,>;2?

8

 ]pf >>,8;>1>

8

_pf 7.8 + 6?7.5∛οl∘;?∛οl

_pf 7.8 + 6?7.5∛ =,>;2?∘;?∛ =,>;2?

8

_pf >>,8;>1> 6;8,86;2?  ]sr <

?,5=8>

 ]sr =

_sr = ) .

=.=1>=12?>66;? ∛7?;?∛=,>5∛82.7;   1=.;68∛1,6>76∛( 826 +?>= ) .

 ρk 1;8 (kr/ff)

Oejsgoao oec Kas (Hgásgfd) para ]=12?>66;? ∛ ]∛οl∛82.7;   1=.;68∛ z∛( _ + ?>= ) .

 ρk < =.=1>=12?>66;? ∛6===∛=,>;2?∛82.7;   1=.;68∛=,72;7>∛( 826 + ?>= ) .

 ρk ∛12,26=5 + ;?6 8=7.8 + 17.8> L + _r

 R .? 72>.?   + =.=1==7∛12,26=5   R    + =.=1==7 =.=1==7 L  L R 76

W < 8.??;∘=.888?  R W  

∘? ( )  γk< 1= ∛ @ ∛e  R ∛ ρk  (Fp) W 

( 5,=156>∛=,>51,67>76 )

∘?

 γk< 1= ∛151,1;8;∛e

 (Fp)

 γk< ´=,=68>2 (Fp)

^gsfdsgoao oec Kas (Hgásgfd) para ]=; L ) _r 1.5 ( 7.;67 + =.=1>=;∛17,>585 ) ´ ;?61.5   @ <    @ < 8=7.8 + 17.8> L + _r 8=7.8 + 17.8>∛17,>585 + ;?6

 R ?85

72>.? 72>.?  L R 585   R  _r ;?6

 

W < ´1,6758

W < 8.??;∘=.888?  R W   =.888? R ∘? ( )  γk< 1= ∛ @ ∛e  R ∛ ρk  (Fp) W 

(

∘?

1,6758

 γk< 1= ∛1?7,>?85∛ e 5,=86>∛=,>;2?

) (Fp)

 γk< ´ =,=17?1  (Fp)

]seuod ]dtejfgac para 7?;?9  

75;?  ] 71,285 =,=68>2∛1,6>76  γz

Oeterlgjar l (  ] ] ) elpezar oe ahaid para arrgha 9

l ( ]  ] 1 )<

P \

  ]1 ∛( ] = ) + =  (]sg/fp)  γ 1 z 1

l ( ]  ] 1 )< P = \∛( = ) + =   (]sg/fp) l ( ]  ] 1 )< =  (]sg/fp)

  ]8   ]1 l ( ]  ] 8 )<  γ 8 z 8 + γ 1 z 1 ∛( ] 8∘ ] 1 ) + l ( ] 1 )  (]sg/fp)

P

\

l ( ]  ] 8 )<

P ;=5>=,28>5 += \∛(1=== ∘= ) + = 1======

l (  ] ] 8 )=28>?;   (]sg/fp)

 

P

l ( ]  ] 6 ) <

l ( ]  ] 6 ) <

\

  ]6   ]8 + ∛( ] 6∘ ] 8 ) + l ( ] 8 )  (]sg/fp)  γ 6 z 6  γ 8 z 8

P 181;;?,=62 + ;=5>=,28>5 \∛( 8=== ∘1=== ) + ;=,5>=28>?; 1====== l ( ]  ] 6 ) 8,275>7(]sg/fp)

l (  ] ? ] ? )<

l ( ] ?  ] ? )<

P

  ] ?   ]6 +  γ ? z ?  γ 6 z 6

\∛(

 ] ? ∘ ]6  ] 6 )+ l ( ] 6 )  (]sg/fp)

P 15>?=8,2; +181;;?,=62 \∛( 6=== ∘8=== ) +8>8,275>7 1====== l ( ] ?  ] ? )< 5?1,=;857(]sg/fp)

Cgjeac fuaoráfd

 y < a= + a1 x + a8 x

8

a =6E+11

21======

;,87E+11

>,5>1E+15

8>5>;88>

8,671=5E+11

>?======

5,18E+11

?,=7>E+15

8=886=?=,2

1,>1;2?E+11

?7======

6,?6E+11

8,?=1E+15

1?;688;8,1

1,=618>E+11

6>======

8,1>E+11

1,87>E+15

1=11=?55,?

>=>>8;68?==

85======

1,85E+11

>,85E+1?

>6;5818,5

612;>=>85==

8,5>E+1?

65?1>5>,5>

1?1>>>8>8?=

>?======== 1>======

= 8;========

7======

=

2,1E+16

1>8681;,;;

?2>7>5661=

?======

2=========

1,>E+16

585;71,62

1=51528;>=

1======

1=========

1E+18

;=5>=,28>

;=5>=28>

=

=

=

=

=

6;?;5>>;>

8,2;565E+18

8,66276E+1>

11657??26

2,778;5E+11

a 1∛6;?;5>>;> + a8∛8,2;565E+18 < 2,778;5E+11 a 1

>===

1>=7,8>>

5===

186>,;16

?===

7=5,27>

6===

>1>,21>

8===

6>7,?;?

1===

1>6,2>2

=

=

NCUID

] nw

Qk LL]FO

Qd H]O

L]

∎L]

∎L]/Qk

1

;765

16,18

182

8??2,>;?

;;7,175

57,6277

8

;2?8

1?,?;

1?>

8?=?,;55

286,11?

5>,22?8

6

;>61

1>,65

1>1

86=>,?51

781,?12

5>,6557

?

;655

1;,85

122

812=,>>2

1=?;,8=1

>=,;=;6

EV_AH.

;?5>

1>,25

1;2

888>,682

1==1,5?1

57,?62>

8

 L] 1 >=    k    Q 57     /    ]    L 52    A    _    C 5;    E    O

n(x) < =.1? x + 5>.17

5> 55 5? 18.5

16

16.5

1?

1?.5

15

15.5

1>

1>.5

Qk

A,12; H=== 5=== ?=== 6=== 8=== 1=== =

L]

Qk

688;,2>7

=,===

87;;,6?2 8?;7,52?

?,?1= 18,7=8

8=86,55>

8=,675

1>=7,8>>

8>,72;

186>,;16

68,;5;

7=5,27>

6;,;>6

>1>,21>

?8,=58

6>7,?;?

?5,>>6

1>6,2>2

?2,>8?

=

5=,7>=

XEVUCE_D FDJ EC ]G]EVGL

1;

1;.5

 

LE_DOD VGL]CGNGFAOD

 

LE_DOD OE IDJEV AJO KCAYE