GLOSSARY

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Excerpt


LaTeX Math Block
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\frac{q_O}{q_{O,\rm max}} = 1 - \sum_{k=1}^N a_k \, \left( \frac{p_{wf}}{p_r} \right)^k  \quad , \quad \{ p_b > p_r > p_{wf} \}, \quad \sum_{k=1}^N a_k =1, \quad \{ 0<a_k<1 \}_{k=1..N}


where

LaTeX Math Inline
bodyq = q_O

surface production rate of rate

LaTeX Math Inline
bodyq_{\rm max}

Absolute Open Flow (AOL) for oil

LaTeX Math Inline
bodyp_{wf}

bottom-hole pressure (BHP)

LaTeX Math Inline
bodyp_r

drainarea formation pressure

LaTeX Math Inline
bodyp_b

bubble-point pressure

LaTeX Math Inline
body\{ 0<a_k<1 \}_{k=1..N}

model parameters


This is a generalisation of Vogel model and reduces to Vogel model for

LaTeX Math Inline
bodya_1 = 0.2, \ a_2 = 0.8, \ \{ a_k = 0 \, | \ \forall \, k> 2 \}
.

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