Inginerie de Zacamant --- Calcule Proiect

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i= 55 0 175 Pcr= 46.2 1 159 Tcr= 191 2 153 Tz= 50 3 144 S= 5000000 4 126 h= 11 5 119 m= 0.24 Saj= 0.3 Momentul masuratorii Presiunea statica medie, bar

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Calcule necesare proiectului inginerie de zacamant --- medias

Transcript of Inginerie de Zacamant --- Calcule Proiect

i= 550 175 0

Pcr= 46.2 1 159 214Tcr= 191 2 153 274Tz= 50 3 144 364S= 5000000 4 126 524h= 11 5 119 590m= 0.24Saj= 0.3

Momentul masuratorii

Presiunea statica medie, bar

Cumulativul de gaze extras, 10⁶ mcN

Pr =Pzi

=175

= 3.79Pcr 46.2

Gi = 500 ·104

· ### · 0.24 ( 1- 0.3 ) ·175 ·

TrTz

=323.15

= 1.690.855 ·

Tcr 191

Zi = 0.855

Pr =Pzi

=159

= 3.44Pcr 46.2

Gi = 500 ·104

· ### · 0.24 ( 1- 0.3 ) ·159 ·

TrTz

=323.15

= 1.69 0.858 ·Tcr 191

Zi = 0.858

Pr =Pzi

=153

= 3.31Pcr 46.2

Gi = 500 ·104

· ### · 0.24 ( 1- 0.3 ) ·153 ·

TrTz

=323.15

= 1.69 0.86 ·Tcr 191

Zi = 0.86

Pr =Pzi

=144

= 3.12Pcr 46.2

Gi = 500 ·104

· ### · 0.24 ( 1- 0.3 ) ·144 ·

TrTz

=323.15

= 1.69 0.861 ·Tcr 191

Zi = 0.861

Pr =Pzi

=126

= 2.73Pcr 46.2

Gi = 500 ·104

· ### · 0.24 ( 1- 0.3 ) ·126 ·

TrTz

=323.15

= 1.69 0.87 ·Tcr 191

Zi = 0.87

Pr =Pzi

=119

= 2.58Pcr 46.2

Gi = 500 ·104

· ### · 0.24 ( 1- 0.3 ) ·119 ·

TrTz

=323.15

= 1.69 0.873 ·Tcr 191

Zi = 0.873

0 175 01 159 214

288.15= 1664 ·10

6 2 153 274323.15 · 1.01325 3 144 364

4 126 5245 119 590

288.15= 1507 ·10

6

323.15 · 1.01325

288.15= 1447 ·10

6

323.15 · 1.01325

288.15= 1360 ·10

6

323.15 · 1.01325

288.15= 1178 ·10

6

323.15 · 1.01325

288.15= 1108 ·10

6

323.15 · 1.01325

Momentul masuratorii

Presiunea statica medie, bar

Cumulativul de gaze extras, 10⁶ mcN

Z Pz/Z

0.855 204.680.858 185.310.86 177.91

0.861 167.250.87 144.83

0.873 136.31

ns= 7

e= 0.923 An Ps Pd Pc Pt PcdGi= 1664338871 2011 80.80 73.20 65.13 62.68 10Nz= 360 2012 69.31 60.98 54.26 51.74 10Zi= 0.855 2013 63.55 55.10 49.02 46.64 10Pi= 175 2014 57.61 48.93 43.53 41.24 10

Pcr= 46.2 2015 52.26 43.33 38.55 36.34 10Tz= 50 2016 47.11 37.83 33.65 31.49 10Tc= 191 2017 42.37 32.66 29.06 26.91 10ζ= 1.124 2018 37.99 27.76 24.70 22.53 10

2019 33.80 22.83 20.31 18.03 102020 29.94 17.97 15.98 13.45 102021 26.48 13.10 11.66 8.51 10

qs N Nz Qan Δg G fr 1

27987.00 195909.0 360 70527240 974350687 689988184 58.54 qs25841.56 180891.0 360 65120743 1039471430 624867441 62.46 223860.59 167024.2 360 60128698 1099600128 564738743 66.07 N22031.48 154220.4 360 55519335 1155119463 509219408 69.40 N20342.59 142398.1 360 51263318 1206382782 457956089 72.48 318783.16 131482.1 360 47333560 1253716342 410622529 75.33 Qan17343.27 121402.9 360 43705051 1297421393 366917478 77.95 Qan16013.77 112096.4 360 40354697 1337776089 326562782 80.38 4 Cumulativul de gaze extrase14786.18 103503.3 360 37261175 1375037264 289301607 82.62 ΔG13652.70 95568.9 360 34404797 1409442061 254896810 84.68 5 Resursa actuala12606.10 88242.7 360 31767384 1441209445 223129426 86.59 G

G6 factorul de recuperare

fr

fr

7. Presiunea staticaPs

8 Presiunea dinamicaPd9 Presiunea la coloana

Pc10 Presiunea la tubingPt

1qsqse2NN3QanQan4 Cumulativul de gaze extraseΔGΔG5 Resursa actualaGG6 factorul de recuperare

fr

fr

7. Presiunea statica

Ps

Ps

Pr =

Tr =

Z8 Presiunea dinamica

Pd

Pd

9 Presiunea la coloana

Pc

Pc

10 Presiunea la tubing

Pt

Pt

1qsqse2NN3QanQan4 Cumulativul de gaze extraseΔGΔG5 Resursa actualaGG6 factorul de recuperare

fr

fr

7. Presiunea statica

Ps

Ps

Pr =

Tr =

Z8 Presiunea dinamica

Pd

Pd

9 Presiunea la coloana

Pc

Pc

10 Presiunea la tubing

Pt

Pt

1qsqse2NN3QanQan4 Cumulativul de gaze extraseΔGΔG5 Resursa actualaGG6 factorul de recuperare

fr

fr

7. Presiunea statica

Ps

Ps

Pr =

Tr =

Z8 Presiunea dinamica

Pd

Pd

9 Presiunea la coloana

Pc

Pc

10 Presiunea la tubing

Pt

Pt

1qsqse2NN3QanQan4 Cumulativul de gaze extraseΔGΔG5 Resursa actualaGG6 factorul de recuperare

fr

fr

7. Presiunea statica

Ps

Ps

Pr =

Tr =

Z8 Presiunea dinamica

Pd

Pd

9 Presiunea la coloana

Pc

Pc

10 Presiunea la tubing

Pt

Pt

1qsqse2NN3QanQan4 Cumulativul de gaze extraseΔGΔG5 Resursa actualaGG6 factorul de recuperare

fr

fr

7. Presiunea statica

Ps

Ps

Pr =

Tr =

Z8 Presiunea dinamica

Pd

Pd

9 Presiunea la coloana

Pc

Pc

10 Presiunea la tubing

Pt

Pt

1qsqse2NN3QanQan4 Cumulativul de gaze extraseΔGΔG5 Resursa actualaGG6 factorul de recuperare

fr

fr

7. Presiunea statica

Ps

Ps

Pr =

Tr =

Z8 Presiunea dinamica

Pd

Pd

9 Presiunea la coloana

Pc

Pc

10 Presiunea la tubing

Pt

Pt

1qsqse2NN3QanQan4 Cumulativul de gaze extraseΔGΔG5 Resursa actualaGG6 factorul de recuperare

fr

fr

7. Presiunea statica

Ps

Ps

Pr =

Tr =

Z8 Presiunea dinamica

Pd

Pd

9 Presiunea la coloana

Pc

Pc

10 Presiunea la tubing

Pt

Pt

1qsqse2NN3QanQan4 Cumulativul de gaze extraseΔGΔG5 Resursa actualaGG6 factorul de recuperare

fr

fr

7. Presiunea statica

Ps

Ps

Pr =

Tr =

Z8 Presiunea dinamica

Pd

Pd

9 Presiunea la coloana

Pc

Pc

10 Presiunea la tubing

Pt

Pt

1qsqse2NN3QanQan4 Cumulativul de gaze extraseΔGΔG5 Resursa actualaGG6 factorul de recuperare

fr

fr

7. Presiunea statica

Ps

Ps

Pr =

Tr =

Z8 Presiunea dinamica

Pd

Pd

9 Presiunea la coloana

Pc

Pc

10 Presiunea la tubing

Pt

Pt

1qsqse2NN3QanQan4 Cumulativul de gaze extraseΔGΔG5 Resursa actualaGG6 factorul de recuperare

fr

fr

7. Presiunea statica

Ps

Ps

Pr =

Tr =

Z8 Presiunea dinamica

Pd

Pd

9 Presiunea la coloana

Pc

Pc

10 Presiunea la tubing

Pt

Pt

ANUL 2011

Debitul sondei medii

2011 = 27987Debitul celor sapte sonde

2011 = qs 2011 ·ns2011 = 27987 · 7 = 195909 mc/zi

Debitul celor sapte sonde pe an Qan 2011 = N 2011 ·NzQan 2011 = 195909 · 360 = 70527240 mc/an4 Cumulativul de gaze extrase

2011 = 9743506875 Resursa actuala

2011 = Gi - ΔG 20112011 = 1664338871 - 974350687 = 689988184 mcN

6 factorul de recuperare

2011 =ΔG 2011

Gi

2011 =974350687

= 58.54 %1664338871

7. Presiunea statica2011 = 80.80

8 Presiunea dinamica2011 = 73.20

9 Presiunea la coloana2011 = 65.13

10 Presiunea la tubing2011 = 62.68

ANUL 2012Debitul sondei medii

2012 = qs 2011 ·e ̶̶::D·Δt

2012 = 27987 · e −0.08·1 = 27987 · 0.9233 = 25841.56 mc/zi̶̶::D·Δt = 2.71 −0.08·1 = 0.9233Debitul celor sapte sonde

2012 = qs 2012 ·ns2012 = 25841.56 · 7 = 180890.9521 mc/zi

Debitul celor sapte sonde pe an Qan 2012 = N 2012 ·NzQan 2012 = 180890.9521 · 360 = 65120742.7424 mc/an4 Cumulativul de gaze extrase

2012 = ΔG 2011 + Qan 20122012 = 974350687 + 65120742.7424 = 1039471429.7424 mcN

5 Resursa actuala2012 = Gi - ΔG 20122012 = 1664338871 - 1039471429.74 = 624867441.258 mcN

6 factorul de recuperare

2012 =ΔG 2012

Gi

2012 =1039471429.74

= 62.46 %1664338871

7. Presiunea statica

2012 =Z 2012

( 1 -ΔG 2012

) · PiZi Gi

2012 =0.902

( 1 -1039471429.7424

) · 175 = 69.3150.855 1664338871

Pr =Ps 2011

=80.8

= 1.75Pcr 46.2

Tr =Tz

=323.15

= 1.69Tcr 191

2012 = 0.9028 Presiunea dinamica

2012 = √ Ps 20122

- az · qs 2012 - bz · qs 20122

2012 = √ 69.3152

- · 25842 - · 258422

= 60.985

9 Presiunea la coloana

2012 =Pd 2012

ζ

2012 =60.985

= 54.2571.124

10 Presiunea la tubing

2012 = √ Pc 20122

- bt · qs 20122

2012 = √ 54.2572

- · 258422

= 51.737

ANUL 2013Debitul sondei medii

2013 = qs 2012 ·e ̶̶::D·Δt

2013 = 25842 · e −0.08·1 = 25842 · 0.9233 = 23860.59 mc/zi̶̶::D·Δt = 2.71 −0.08·1 = 0.9233Debitul celor sapte sonde

2013 = qs 2013 ·ns2013 = 23860.59 · 7 = 167024.1619 mc/zi

Debitul celor sapte sonde pe an Qan 2013 = N 2013 ·NzQan 2013 = 167024.1619 · 360 = 60128698.292 mc/an4 Cumulativul de gaze extrase

2013 = ΔG 2012 + Qan 20132013 = 1039471430 + 60128698.292 = 1099600128.0344 mcN

5 Resursa actuala2013 = Gi - ΔG 20132013 = 1664338871 - 1099600128 = 564738742.966 mcN

6 factorul de recuperare

2013 =ΔG 2013

Gi

42·10¯³ 1·10¯¹¹

40·10¯⁸

2013 =1099600128

= 66.07 %1664338871

7. Presiunea statica

2013 =Z 2013

( 1 -ΔG 2013

) · PiZi Gi

2013 =0.915

( 1 -1099600128.0344

) · 175 = 63.5480.855 1664338871

Pr =Ps 2012

=69.31

= 1.50Pcr 46.2

Tr =Tz

=323.15

= 1.69Tcr 191

2013 = 0.9158 Presiunea dinamica

2013 = √ Ps 20132

- az · qs 2013 - bz · qs 20132

2013 = √ 63.5482

- · 23861 - · 238612

= 55.101

9 Presiunea la coloana

2013 =Pd 2013

ζ

2013 =55.101

= 49.0221.124

10 Presiunea la tubing

2013 = √ Pc 20132

- bt · qs 20132

2013 = √ 49.0222

- · 238612

= 46.642

ANUL 2014Debitul sondei medii

2014 = qs 2013 ·e ̶̶::D·Δt

2014 = 23861 · e −0.08·1 = 23861 · 0.9233 = 22031.48 mc/zi̶̶::D·Δt = 2.71 −0.08·1 = 0.9233Debitul celor sapte sonde

2014 = qs 2014 ·ns2014 = 22031.48 · 7 = 154220.3761 mc/zi

Debitul celor sapte sonde pe an Qan 2014 = N 2014 ·NzQan 2014 = 154220.3761 · 360 = 55519335.4072 mc/an4 Cumulativul de gaze extrase

2014 = ΔG 2013 + Qan 20142014 = 1099600128 + 55519335.4072 = 1155119463.4416 mcN

5 Resursa actuala2014 = Gi - ΔG 20142014 = 1664338871 - 1155119463.44 = 509219407.558 mcN

6 factorul de recuperare

2014 =ΔG 2014

Gi

42·10¯³ 1·10¯¹¹

40·10¯⁸

2014 =1155119463.44

= 69.40 %1664338871

7. Presiunea statica

2014 =Z 2014

( 1 -ΔG 2014

) · PiZi Gi

2014 =0.92

( 1 -1155119463.4416

) · 175 = 57.6130.855 1664338871

Pr =Ps 2013

=63.55

= 1.38Pcr 46.2

Tr =Tz

=323.15

= 1.69Tcr 191

2014 = 0.928 Presiunea dinamica

2014 = √ Ps 20142

- az · qs 2014 - bz · qs 20142

2014 = √ 57.6132

- · 22031 - · 220312

= 48.928

9 Presiunea la coloana

2014 =Pd 2014

ζ

2014 =48.928

= 43.531.124

10 Presiunea la tubing

2014 = √ Pc 20142

- bt · qs 20142

2014 = √ 43.532

- · 220312

= 41.24

ANUL 2015Debitul sondei medii

2015 = qs 2014 ·e ̶̶::D·Δt

2015 = 22031 · e −0.08·1 = 22031 · 0.9233 = 20342.59 mc/zi̶̶::D·Δt = 2.71 −0.08·1 = 0.9233Debitul celor sapte sonde

2015 = qs 2015 ·ns2015 = 20342.59 · 7 = 142398.1066 mc/zi

Debitul celor sapte sonde pe an Qan 2015 = N 2015 ·NzQan 2015 = 142398.1066 · 360 = 51263318.3758 mc/an4 Cumulativul de gaze extrase

2015 = ΔG 2014 + Qan 20152015 = 1155119463 + 51263318.3758 = 1206382781.8174 mcN

5 Resursa actuala2015 = Gi - ΔG 20152015 = 1664338871 - 1206382781.82 = 457956089.183 mcN

6 factorul de recuperare

2015 =ΔG 2015

Gi

42·10¯³ 1·10¯¹¹

40·10¯⁸

2015 =1206382781.82

= 72.48 %1664338871

7. Presiunea statica

2015 =Z 2015

( 1 -ΔG 2015

) · PiZi Gi

2015 =0.928

( 1 -1206382781.8174

) · 175 = 52.2640.855 1664338871

Pr =Ps 2014

=57.61

= 1.25Pcr 46.2

Tr =Tz

=323.15

= 1.69Tcr 191

2015 = 0.9288 Presiunea dinamica

2015 = √ Ps 20152

- az · qs 2015 - bz · qs 20152

2015 = √ 52.2642

- · 20343 - · 203432

= 43.326

9 Presiunea la coloana

2015 =Pd 2015

ζ

2015 =43.326

= 38.5461.124

10 Presiunea la tubing

2015 = √ Pc 20152

- bt · qs 20152

2015 = √ 38.5462

- · 203432

= 36.336

ANUL 2016Debitul sondei medii

2016 = qs 2015 ·e ̶̶::D·Δt

2016 = 20343 · e −0.08·1 = 20343 · 0.9233 = 18783.16 mc/zi̶̶::D·Δt = 2.71 −0.08·1 = 0.9233Debitul celor sapte sonde

2016 = qs 2016 ·ns2016 = 18783.16 · 7 = 131482.112 mc/zi

Debitul celor sapte sonde pe an Qan 2016 = N 2016 ·NzQan 2016 = 131482.112 · 360 = 47333560.3105 mc/an4 Cumulativul de gaze extrase

2016 = ΔG 2015 + Qan 20162016 = 1206382782 + 47333560.3105 = 1253716342.1279 mcN

5 Resursa actuala2016 = Gi - ΔG 20162016 = 1664338871 - 1253716342.13 = 410622528.872 mcN

6 factorul de recuperare

2016 =ΔG 2016

Gi

42·10¯³ 1·10¯¹¹

40·10¯⁸

2016 =1253716342.13

= 75.33 %1664338871

7. Presiunea statica

2016 =Z 2016

( 1 -ΔG 2016

) · PiZi Gi

2016 =0.933

( 1 -1253716342.1279

) · 175 = 47.1150.855 1664338871

Pr =Ps 2015

=52.26

= 1.13Pcr 46.2

Tr =Tz

=323.15

= 1.69Tcr 191

2016 = 0.9338 Presiunea dinamica

2016 = √ Ps 20162

- az · qs 2016 - bz · qs 20162

2016 = √ 47.1152

- · 18783 - · 187832

= 37.827

9 Presiunea la coloana

2016 =Pd 2016

ζ

2016 =37.827

= 33.6541.124

10 Presiunea la tubing

2016 = √ Pc 20162

- bt · qs 20162

2016 = √ 33.6542

- · 187832

= 31.487

ANUL 2017Debitul sondei medii

2017 = qs 2016 ·e ̶̶::D·Δt

2017 = 18783 · e −0.08·1 = 18783 · 0.9233 = 17343.27 mc/zi̶̶::D·Δt = 2.71 −0.08·1 = 0.9233Debitul celor sapte sonde

2017 = qs 2017 ·ns2017 = 17343.27 · 7 = 121402.9188 mc/zi

Debitul celor sapte sonde pe an Qan 2017 = N 2017 ·NzQan 2017 = 121402.9188 · 360 = 43705050.7586 mc/an4 Cumulativul de gaze extrase

2017 = ΔG 2016 + Qan 20172017 = 1253716342 + 43705050.7586 = 1297421392.8865 mcN

5 Resursa actuala2017 = Gi - ΔG 20172017 = 1664338871 - 1297421392.89 = 366917478.114 mcN

6 factorul de recuperare

2017 =ΔG 2017

Gi

42·10¯³ 1·10¯¹¹

40·10¯⁸

2017 =1297421392.89

= 77.95 %1664338871

7. Presiunea statica

2017 =Z 2017

( 1 -ΔG 2017

) · PiZi Gi

2017 =0.939

( 1 -1297421392.8865

) · 175 = 42.3710.855 1664338871

Pr =Ps 2016

=47.11

= 1.02Pcr 46.2

Tr =Tz

=323.15

= 1.69Tcr 191

2017 = 0.9398 Presiunea dinamica

2017 = √ Ps 20172

- az · qs 2017 - bz · qs 20172

2017 = √ 42.3712

- · 17343 - · 173432

= 32.663

9 Presiunea la coloana

2017 =Pd 2017

ζ

2017 =32.663

= 29.0591.124

10 Presiunea la tubing

2017 = √ Pc 20172

- bt · qs 20172

2017 = √ 29.0592

- · 173432

= 26.91

ANUL 2018Debitul sondei medii

2018 = qs 2017 ·e ̶̶::D·Δt

2018 = 17343 · e −0.08·1 = 17343 · 0.9233 = 16013.77 mc/zi̶̶::D·Δt = 2.71 −0.08·1 = 0.9233Debitul celor sapte sonde

2018 = qs 2018 ·ns2018 = 16013.77 · 7 = 112096.3792 mc/zi

Debitul celor sapte sonde pe an Qan 2018 = N 2018 ·NzQan 2018 = 112096.3792 · 360 = 40354696.5257 mc/an4 Cumulativul de gaze extrase

2018 = ΔG 2017 + Qan 20182018 = 1297421393 + 40354696.5257 = 1337776089.4121 mcN

5 Resursa actuala2018 = Gi - ΔG 20182018 = 1664338871 - 1337776089.41 = 326562781.588 mcN

6 factorul de recuperare

2018 =ΔG 2018

Gi

42·10¯³ 1·10¯¹¹

40·10¯⁸

2018 =1337776089.41

= 80.38 %1664338871

7. Presiunea statica

2018 =Z 2018

( 1 -ΔG 2018

) · PiZi Gi

2018 =0.946

( 1 -1337776089.4121

) · 175 = 37.9920.855 1664338871

Pr =Ps 2017

=42.37

= 0.92Pcr 46.2

Tr =Tz

=323.15

= 1.69Tcr 191

2018 = 0.9468 Presiunea dinamica

2018 = √ Ps 20182

- az · qs 2018 - bz · qs 20182

2018 = √ 37.9922

- · 16014 - · 160142

= 27.763

9 Presiunea la coloana

2018 =Pd 2018

ζ

2018 =27.763

= 24.71.124

10 Presiunea la tubing

2018 = √ Pc 20182

- bt · qs 20182

2018 = √ 24.72

- · 160142

= 22.528

ANUL 2019Debitul sondei medii

2019 = qs 2018 ·e ̶̶::D·Δt

2019 = 16014 · e −0.08·1 = 16014 · 0.9233 = 14786.18 mc/zi̶̶::D·Δt = 2.71 −0.08·1 = 0.9233Debitul celor sapte sonde

2019 = qs 2019 ·ns2019 = 14786.18 · 7 = 103503.2631 mc/zi

Debitul celor sapte sonde pe an Qan 2019 = N 2019 ·NzQan 2019 = 103503.2631 · 360 = 37261174.7021 mc/an4 Cumulativul de gaze extrase

2019 = ΔG 2018 + Qan 20192019 = 1337776089 + 37261174.7021 = 1375037264.1142 mcN

5 Resursa actuala2019 = Gi - ΔG 20192019 = 1664338871 - 1375037264.11 = 289301606.886 mcN

6 factorul de recuperare

2019 =ΔG 2019

Gi

42·10¯³ 1·10¯¹¹

40·10¯⁸

2019 =1375037264.11

= 82.62 %1664338871

7. Presiunea statica

2019 =Z 2019

( 1 -ΔG 2019

) · PiZi Gi

2019 =0.95

( 1 -1375037264.1142

) · 175 = 33.7990.855 1664338871

Pr =Ps 2018

=37.99

= 0.82Pcr 46.2

Tr =Tz

=323.15

= 1.69Tcr 191

2019 = 0.958 Presiunea dinamica

2019 = √ Ps 20192

- az · qs 2019 - bz · qs 20192

2019 = √ 33.7992

- · 14786 - · 147862

= 22.833

9 Presiunea la coloana

2019 =Pd 2019

ζ

2019 =22.833

= 20.3141.124

10 Presiunea la tubing

2019 = √ Pc 20192

- bt · qs 20192

2019 = √ 20.3142

- · 147862

= 18.034

ANUL 2020Debitul sondei medii

2020 = qs 2019 ·e ̶̶::D·Δt

2020 = 14786 · e −0.08·1 = 14786 · 0.9233 = 13652.7 mc/zi̶̶::D·Δt = 2.71 −0.08·1 = 0.9233Debitul celor sapte sonde

2020 = qs 2020 ·ns2020 = 13652.7 · 7 = 95568.88043 mc/zi

Debitul celor sapte sonde pe an Qan 2020 = N 2020 ·NzQan 2020 = 95568.88043 · 360 = 34404796.9558 mc/an4 Cumulativul de gaze extrase

2020 = ΔG 2019 + Qan 20202020 = 1375037264 + 34404796.9558 = 1409442061.0701 mcN

5 Resursa actuala2020 = Gi - ΔG 20202020 = 1664338871 - 1409442061.07 = 254896809.93 mcN

6 factorul de recuperare

2020 =ΔG 2020

Gi

42·10¯³ 1·10¯¹¹

40·10¯⁸

2020 =1409442061.07

= 84.68 %1664338871

7. Presiunea statica

2020 =Z 2020

( 1 -ΔG 2020

) · PiZi Gi

2020 =0.955

( 1 -1409442061.0701

) · 175 = 29.9360.855 1664338871

Pr =Ps 2019

=33.80

= 0.73Pcr 46.2

Tr =Tz

=323.15

= 1.69Tcr 191

2020 = 0.9558 Presiunea dinamica

2020 = √ Ps 20202

- az · qs 2020 - bz · qs 20202

2020 = √ 29.9362

- · 13653 - · 136532

= 17.966

9 Presiunea la coloana

2020 =Pd 2020

ζ

2020 =17.966

= 15.9841.124

10 Presiunea la tubing

2020 = √ Pc 20202

- bt · qs 20202

2020 = √ 15.9842

- · 136532

= 13.451

ANUL 2021Debitul sondei medii

2021 = qs 2020 ·e ̶̶::D·Δt

2021 = 13653 · e −0.08·1 = 13653 · 0.9233 = 12606.1 mc/zi̶̶::D·Δt = 2.71 −0.08·1 = 0.9233Debitul celor sapte sonde

2021 = qs 2021 ·ns2021 = 12606.1 · 7 = 88242.73397 mc/zi

Debitul celor sapte sonde pe an Qan 2021 = N 2021 ·NzQan 2021 = 88242.73397 · 360 = 31767384.2287 mc/an4 Cumulativul de gaze extrase

2021 = ΔG 2020 + Qan 20212021 = 1409442061 + 31767384.2287 = 1441209445.2987 mcN

5 Resursa actuala2021 = Gi - ΔG 20212021 = 1664338871 - 1441209445.3 = 223129425.701 mcN

6 factorul de recuperare

2021 =ΔG 2021

Gi

42·10¯³ 1·10¯¹¹

40·10¯⁸

2021 =1441209445.3

= 86.59 %1664338871

7. Presiunea statica

2021 =Z 2021

( 1 -ΔG 2021

) · PiZi Gi

2021 =0.965

( 1 -1441209445.2987

) · 175 = 26.480.855 1664338871

Pr =Ps 2020

=29.94

= 0.65Pcr 46.2

Tr =Tz

=323.15

= 1.69Tcr 191

2021 = 0.9658 Presiunea dinamica

2021 = √ Ps 20212

- az · qs 2021 - bz · qs 20212

2021 = √ 26.482

- · 12606 - · 126062

= 13.104

9 Presiunea la coloana

2021 =Pd 2021

ζ

2021 =13.104

= 11.6591.124

10 Presiunea la tubing

2021 = √ Pc 20212

- bt · qs 20212

2021 = √ 11.6592

- · 126062

= 8.5063

42·10¯³ 1·10¯¹¹

40·10¯⁸

An Pretpret 1000 mc 160redeventa 3.5 mil. Mc Usd/1000mc mii Usd

1 2 3 4cheltuieli operare 80 2011 70.53 160 11284358cota de dezvoltare 35 2012 65.12 160 10419319impozit pe profit 16 2013 60.13 160 9620592Pv 10 2014 55.52 160 8883094

2015 51.26 160 82021312016 47.33 160 75733702017 43.71 160 69928082018 40.35 160 64567512019 37.26 160 59617882020 34.40 160 55047682021 31.77 160 5082781

Productia de gaze

Venituri gaze

Redeventa Profit brut Profit net Cash flowPV

Ra=10%mii Usd Usd/ 1000 mc mii Usd mii Usd mii Usd mii Usd mii Usd mii Usd

5 6 7 8 9 10 11 12394953 5642179 24685 5222542 835606.7 4386935 4411620 4010564364676 5209659 22792 4822191 771550.6 4050640 4073433 3366473336721 4810296 21045 4452530 712404.8 3740125 3761170 2825823310908 4441547 19432 4111207 657793.1 3453414 3472845 2372000287075 4101065 17942 3796049 607367.8 3188681 3206623 1991061265068 3786685 16567 3505050 560808 2944242 2960809 1671299244748 3496404 15297 3236359 517817.4 2718542 2733838 1402891225986 3228376 14124 2988265 478122.4 2510143 2524267 1177589208663 2980894 13041 2759190 441470.4 2317720 2330761 988470192667 2752384 12042 2547675 407628 2140047 2152089 829723177897 2541391 11119 2352375 376380 1975995 1987113 696471

Cheltuieli operare

Cota de dezvoltare

Impozit pe profit

NPV

mii Usd13 Venituri gaze

4010564 V 2011 = Prod.gaze 2011 · Pret = 70527240 · 160 /1000 =7377037 V 2012 = Prod.gaze 2012 · Pret = 65120743 · 160 /1000 =

10202860 V 2013 = Prod.gaze 2013 · Pret = 60128698 · 160 /1000 =12574860 V 2014 = Prod.gaze 2014 · Pret = 55519335 · 160 /1000 =14565921 V 2015 = Prod.gaze 2015 · Pret = 51263318 · 160 /1000 =16237220 V 2016 = Prod.gaze 2016 · Pret = 47333560 · 160 /1000 =17640111 V 2017 = Prod.gaze 2017 · Pret = 43705051 · 160 /1000 =18817701 V 2018 = Prod.gaze 2018 · Pret = 40354697 · 160 /1000 =19806171 V 2019 = Prod.gaze 2019 · Pret = 37261175 · 160 /1000 =20635894 V 2020 = Prod.gaze 2020 · Pret = 34404797 · 160 /1000 =21332365 V 2021 = Prod.gaze 2021 · Pret = 31767384 · 160 /1000 =

RedeventaRed. 2011 = V 2011 · 3.50% = 11284358 · 0.035 =Red. 2012 = V 2012 · 3.50% = 10419319 · 0.035 =Red. 2013 = V 2013 · 3.50% = 9620592 · 0.035 =Red. 2014 = V 2014 · 3.50% = 8883094 · 0.035 =Red. 2015 = V 2015 · 3.50% = 8202131 · 0.035 =Red. 2016 = V 2016 · 3.50% = 7573370 · 0.035 =Red. 2017 = V 2017 · 3.50% = 6992808 · 0.035 =Red. 2018 = V 2018 · 3.50% = 6456751 · 0.035 =Red. 2019 = V 2019 · 3.50% = 5961788 · 0.035 =Red. 2020 = V 2020 · 3.50% = 5504768 · 0.035 =Red. 2021 = V 2021 · 3.50% = 5082781 · 0.035 =

Cheltuieli de operare

Chelt2011 = Prod.gaze 2011 · 80 /1000 = 70527240 ·Chelt2012 = Prod.gaze 2012 · 80 /1000 = 65120743 ·Chelt2013 = Prod.gaze 2013 · 80 /1000 = 60128698 ·Chelt2014 = Prod.gaze 2014 · 80 /1000 = 55519335 ·Chelt2015 = Prod.gaze 2015 · 80 /1000 = 51263318 ·Chelt2016 = Prod.gaze 2016 · 80 /1000 = 47333560 ·Chelt2017 = Prod.gaze 2017 · 80 /1000 = 43705051 ·Chelt2018 = Prod.gaze 2018 · 80 /1000 = 40354697 ·Chelt2019 = Prod.gaze 2019 · 80 /1000 = 37261175 ·Chelt2020 = Prod.gaze 2020 · 80 /1000 = 34404797 ·Chelt2021 = Prod.gaze 2021 · 80 /1000 = 31767384 ·

Cota de dezvoltareCot 2011 = Prod.gaze 2011 · 35% = 70527240 · 0.35 =Cot 2012 = Prod.gaze 2012 · 35% = 65120743 · 0.35 =Cot 2013 = Prod.gaze 2013 · 35% = 60128698 · 0.35 =Cot 2014 = Prod.gaze 2014 · 35% = 55519335 · 0.35 =Cot 2015 = Prod.gaze 2015 · 35% = 51263318 · 0.35 =Cot 2016 = Prod.gaze 2016 · 35% = 47333560 · 0.35 =Cot 2017 = Prod.gaze 2017 · 35% = 43705051 · 0.35 =Cot 2018 = Prod.gaze 2018 · 35% = 40354697 · 0.35 =Cot 2019 = Prod.gaze 2019 · 35% = 37261175 · 0.35 =Cot 2020 = Prod.gaze 2020 · 35% = 34404797 · 0.35 =Cot 2021 = Prod.gaze 2021 · 35% = 31767384 · 0.35 =

Profit BrutPbr 2011 = V 2011 - Red 2011 - Chelt 2011 -Pbr 2012 = V 2012 - Red 2012 - Chelt 2012 -Pbr 2013 = V 2013 - Red 2013 - Chelt 2013 -Pbr 2014 = V 2014 - Red 2014 - Chelt 2014 -

Pbr 2015 = V 2015 - Red 2015 - Chelt 2015 -Pbr 2016 = V 2016 - Red 2016 - Chelt 2016 -Pbr 2017 = V 2017 - Red 2017 - Chelt 2017 -Pbr 2018 = V 2018 - Red 2018 - Chelt 2018 -Pbr 2019 = V 2019 - Red 2019 - Chelt 2019 -Pbr 2020 = V 2020 - Red 2020 - Chelt 2020 -Pbr 2021 = V 2021 - Red 2021 - Chelt 2021 -

Impozit pe profitImp 2011 = Pbr 2011 · 16% = 5222542 · 0.16 =Imp 2012 = Pbr 2012 · 16% = 4822191 · 0.16 =Imp 2013 = Pbr 2013 · 16% = 4452530 · 0.16 =Imp 2014 = Pbr 2014 · 16% = 4111207 · 0.16 =Imp 2015 = Pbr 2015 · 16% = 3796049 · 0.16 =Imp 2016 = Pbr 2016 · 16% = 3505050 · 0.16 =Imp 2017 = Pbr 2017 · 16% = 3236359 · 0.16 =Imp 2018 = Pbr 2018 · 16% = 2988265 · 0.16 =Imp 2019 = Pbr 2019 · 16% = 2759190 · 0.16 =Imp 2020 = Pbr 2020 · 16% = 2547675 · 0.16 =Imp 2021 = Pbr 2021 · 16% = 2352375 · 0.16 =

Profit netPnet 2011 = Pbr 2011 - Imp 2011 = 5222542 -Pnet 2012 = Pbr 2012 - Imp 2012 = 4822191 -Pnet 2013 = Pbr 2013 - Imp 2013 = 4452530 -Pnet 2014 = Pbr 2014 - Imp 2014 = 4111207 -Pnet 2015 = Pbr 2015 - Imp 2015 = 3796049 -Pnet 2016 = Pbr 2016 - Imp 2016 = 3505050 -Pnet 2017 = Pbr 2017 - Imp 2017 = 3236359 -Pnet 2018 = Pbr 2018 - Imp 2018 = 2988265 -

Pnet 2019 = Pbr 2019 - Imp 2019 = 2759190 -Pnet 2020 = Pbr 2020 - Imp 2020 = 2547675 -Pnet 2021 = Pbr 2021 - Imp 2021 = 2352375 -

Cash flowCf 2011 = Pnet 2011 - Cot 2011 = 4386935 -Cf 2012 = Pnet 2012 - Cot 2012 = 4050640 -Cf 2013 = Pnet 2013 - Cot 2013 = 3740125 -Cf 2014 = Pnet 2014 - Cot 2014 = 3453414 -Cf 2015 = Pnet 2015 - Cot 2015 = 3188681 -Cf 2016 = Pnet 2016 - Cot 2016 = 2944242 -Cf 2017 = Pnet 2017 - Cot 2017 = 2718542 -Cf 2018 = Pnet 2018 - Cot 2018 = 2510143 -Cf 2019 = Pnet 2019 - Cot 2019 = 2317720 -Cf 2020 = Pnet 2020 - Cot 2020 = 2140047 -Cf 2021 = Pnet 2021 - Cot 2021 = 1975995 -

PV

PV 2011 = Pnet 2011 ·1

= 4411620 ·(1+0.1) 1

PV 2012 = Pnet 2012 ·1

= 4073433 ·(1+0.1) 2

PV 2013 = Pnet 2013 ·1

= 3761170 ·(1+0.1) 3

PV 2014 = Pnet 2014 ·1

= 3472845 ·(1+0.1) 4

PV 2015 = Pnet 2015 ·1

= 3206623 ·(1+0.1) 5

PV 2016 = Pnet 2016 ·1

= 2960809 ·(1+0.1) 6

PV 2017 = Pnet 2017 ·1

= 2733838 ·(1+0.1) 7

PV 2018 = Pnet 2018 ·1

= 2524267 ·(1+0.1) 8

PV 2019 = Pnet 2019 ·1

= 2330761 ·(1+0.1) 9

PV 2020 = Pnet 2020 ·1

= 2152089 ·(1+0.1) 10

PV 2021 = Pnet 2021 ·1

= 1987113 ·(1+0.1) 11

NPVNPV 2011 = PV 2011 = 4010564NPV 2012 = NPV 2011 + PV 2012 = 4010564 +NPV 2013 = NPV 2012 + PV 2013 = 7377037 +NPV 2014 = NPV 2013 + PV 2014 = 10202860 +NPV 2015 = NPV 2014 + PV 2015 = 12574860 +NPV 2016 = NPV 2015 + PV 2016 = 14565921 +NPV 2017 = NPV 2016 + PV 2017 = 16237220 +NPV 2018 = NPV 2017 + PV 2018 = 17640111 +NPV 2019 = NPV 2018 + PV 2019 = 18817701 +NPV 2020 = NPV 2019 + PV 2020 = 19806171 +NPV 2021 = NPV 2020 + PV 2021 = 20635894 +

1128435810419319

962059288830948202131757337069928086456751596178855047685082781

394953364676336721310908287075265068244748225986208663192667177897

80 /1000 = 564217980 /1000 = 520965980 /1000 = 481029680 /1000 = 444154780 /1000 = 410106580 /1000 = 378668580 /1000 = 349640480 /1000 = 322837680 /1000 = 298089480 /1000 = 275238480 /1000 = 2541391

2468522792210451943217942165671529714124130411204211119

Cot 2011 = 11284358 - 394953 - 5642179 - 24685 = 5222542Cot 2012 = 10419319 - 364676 - 5209659 - 22792 = 4822191Cot 2013 = 9620592 - 336721 - 4810296 - 21045 = 4452530Cot 2014 = 8883094 - 310908 - 4441547 - 19432 = 4111207

Cot 2015 = 8202131 - 287075 - 4101065 - 17942 = 3796049Cot 2016 = 7573370 - 265068 - 3786685 - 16567 = 3505050Cot 2017 = 6992808 - 244748 - 3496404 - 15297 = 3236359Cot 2018 = 6456751 - 225986 - 3228376 - 14124 = 2988265Cot 2019 = 5961788 - 208663 - 2980894 - 13041 = 2759190Cot 2020 = 5504768 - 192667 - 2752384 - 12042 = 2547675Cot 2021 = 5082781 - 177897 - 2541391 - 11119 = 2352375

835607771551712405657793607368560808517817478122441470407628376380

835607 = 4386935771551 = 4050640712405 = 3740125657793 = 3453414607368 = 3188681560808 = 2944242517817 = 2718542478122 = 2510143

441470 = 2317720407628 = 2140047376380 = 1975995

24685 = 441162022792 = 407343321045 = 376117019432 = 347284517942 = 320662316567 = 296080915297 = 273383814124 = 252426713041 = 233076112042 = 215208911119 = 1987113

0.909091 = 4010564

0.826446 = 3366473

0.751315 = 2825823

0.683013 = 2372000

0.620921 = 1991061

0.564474 = 1671299

0.513158 = 1402891

0.466507 = 1177589

0.424098 = 988470

0.385543 = 829723

0.350494 = 696471

3366473 = 73770372825823 = 102028602372000 = 125748601991061 = 145659211671299 = 162372201402891 = 176401111177589 = 18817701988470 = 19806171829723 = 20635894696471 = 21332365