Underground Fluid Withdrawal (Havlena and Odeh)

Underground fluid withdrawal is the process of extracting fluids like oil, gas, or water from underground reservoirs, such as oil fields, gas reservoirs, or aquifers.  This withdrawal can lead to changes in reservoir pressure, fluid distribution, and potentially cause subsidence or other geological impacts.  Understanding and predicting these changes are necessary in reservoir engineering and management.

The "Havlena and Odeh" method is a well known approach in reservoir engineering for modeling and analyzing the behavior of oil and gas reservoirs during fluid withdrawal.  It is based on material balance equations, which are basic tools used to estimate the original hydrocarbons in place and predict reservoir performance over time as fluids are produced.

Havlena and Odeh Method

Purpose  -  The method applies the material balance equation in a linear form, simplifying the interpretation of production data to estimate various reservoir parameters.
Key Concept  -  The equation of material balance is rearranged to be a straight line, making it easier to evaluate reservoir conditions such as original oil or gas in place and recovery efficiency.

 

Underground Fluid Withdrawal (Havlena and Odeh) Formula
\( F_w \;=\;   B_p \cdot B_{gf} \cdot W_p \cdot W_{wf}  \)     (Underground Fluid Withdrawal (Havlena and Odeh) ) \( B_p \;=\;  \dfrac{ F_w }{ B_{gf} \cdot W_p \cdot W_{wf}  }\) \( B_{gf} \;=\;  \dfrac{ F_w }{ B_p \cdot W_p \cdot W_{wf}  }\) \( W_p \;=\;  \dfrac{ F_w }{ B_p \cdot B_{gf} \cdot W_{wf}  }\) \( W_{wf} \;=\;  \dfrac{ F_w }{ B_p \cdot B_{gf} \cdot W_p  }\)
Symbol	English	Metric
\( F_w \) = Fluid Withdrawl	\(bbl\)	-
\( B_p \) = Cumulative Gas Production	\(ft^3\)	-
\( B_{gf} \) = Gas Formation Volume Factor	\(bbl\;/\;ft^3\)	-
\( W_p \) = Cumulative Water Production	\(STB\)	-
\( W_{wf} \) = Water Formation Volume Factor	\(bbl\;/\;STB\)	-