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Derivation of Ricky Model

The document describes the derivation of the Ricky Model for optimizing gas allocation to multiple gas lift wells. It involves formulating the gas-lift performance curves as quadratic polynomials and taking the derivative of the total oil rate equation to determine the optimal gas injection rate to the second well, given a fixed total gas injection rate. The Ricky Model then generalizes this approach to calculate the optimal gas allocation to each of n wells in one calculation without iteration.

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ica
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89 views

Derivation of Ricky Model

The document describes the derivation of the Ricky Model for optimizing gas allocation to multiple gas lift wells. It involves formulating the gas-lift performance curves as quadratic polynomials and taking the derivative of the total oil rate equation to determine the optimal gas injection rate to the second well, given a fixed total gas injection rate. The Ricky Model then generalizes this approach to calculate the optimal gas allocation to each of n wells in one calculation without iteration.

Uploaded by

ica
Copyright
© © All Rights Reserved
Available Formats
Download as PPTX, PDF, TXT or read online on Scribd
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Derivation of

Ricky Model
Analytical Formulation

If there are 2 wells, quadratic GLPC shown below


= =

1 1 = 1 12 + 1 1 + 1 (2)
2 2 = 2 22 + 2 2 + 2 (3)

And total gas rate to be injected to 2 wells is written as:


2 = 1 + 2 (4)

Ricky Aditiya Fandi


SIMGRESNAS IATMI XIV 2016
8 Desember 2016
Analytical Formulation (contd)

12 = 1 + 2 = 1 , 2 Quadratic Polynomial

Subs with Eq. (4) 2 = 1 + 2

12 = 2 , 2 Quadratic Polynomial

Ricky Aditiya Fandi


SIMGRESNAS IATMI XIV 2016
8 Desember 2016
Analytical Formulation (contd)

In constant 2 condition, taking zero first derivative of 12 to obtain optimum


2 then finally obtain maximum total oil production in certain total gas
injection rate
12 = 2 , 2 Quadratic Polynomial

2 = 2 Subs 12 = 2 , 2
Optimum Gas Injection Rate
to 2nd well
12 = 2

Ricky Aditiya Fandi


SIMGRESNAS IATMI XIV 2016
8 Desember 2016
Analytical Formulation (contd)

1 1 1
2 12 2 2 wells
2 2 2
2 12 2
3 13 3 3 wells
3 3 3
3 13 3
4 14 4 4 wells
4 4 4
Ricky Aditiya Fandi
SIMGRESNAS IATMI XIV 2016
8 Desember 2016
Ricky Model

1 1 1
1 1
= +
=1 2
=1 =1 =1 =1

1 = No Graphical Method
No iteration
One way calculation

with limitation that GLPC is quadratic polynomial, where Always converge


No long time consuming
= the number of gas lift wells
Easy to construct in simple
, = constants of quadratic GLPC coding
= total gas rate to be injected to n wells Can be applied for field
= gas lift allocation for well with lots of gas lift wells

Ricky Aditiya Fandi


= + + SIMGRESNAS IATMI XIV 2016
8 Desember 2016

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