Depth of Valve using Taylor Series Approximation

Estimate gas injection depth is the important factor to be known because it’s data can be used for tubing design to improve oil production. Special thanks go to Arif Pranoto (122060…), my classmate who introduced Taylor Series method to find estimate depth of valve gas injection.

Now, let see the problem. All Vogel assumption applied to this example.

At point of gas injection,

At point of balance,

We can use Cullender and Smith method to calculate surface injection pressure. Because of the large cross-sectional area of the annular space, the frictional pressure losses are often negligible. Then the average temperature and compressibility factor model degenerates to (Economides et al., 1994)

Modification of calculation

Using definition of Taylor Series,


Assume that


Has small value and negligible, thus


Back to equation point of balance,


Subtitute ....


Now, we can estimate depth of valve by this equation

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3 comments

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alan
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February 26, 2009 at 11:09 AM delete

Alamak, rumus-rumus yang belum pernah saya lihat seumur hidup saya.

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Anonymous
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January 15, 2010 at 12:50 AM delete

I wish not acquiesce in on it. I regard as warm-hearted post. Particularly the title-deed attracted me to read the whole story.

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Anonymous
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January 18, 2010 at 9:03 PM delete

Nice dispatch and this post helped me alot in my college assignement. Thank you for your information.

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