Meterage model


\(F_{D}\): Total Meterage Drilled up to the date of Discovery \((\mathrm{ft})\)

\(a\): Ratio Constant (dimensionless)

\(R_{u}\): Total Expected Additional Discovery of Resources in Selected Field Class (bbl)

\(r_{u}\): Latest Rate of Growth for Discovered Resources (fraction)


\(d R_{D} / F_{D}\): Total Cumulative Discovered Resources per total drilled Meterage (bbl/ft)

\(R_{D}\): Total Cumulative Resources of Discovery (bbl)


\[ \frac{\mathrm{dR}_{\mathrm{D}}}{\mathrm{dF}_{\mathrm{D}}}=\mathrm{a}\left(\frac{\mathrm{R}_{\mathrm{u}}}{\mathrm{r}_{\mathrm{u}}}-\mathrm{R}_{\mathrm{D}}\right) \]

For Initial Conditions \(\left(F_{D}=0 ; R_{D}=0\right)\);

\[ \mathrm{R}_{\mathrm{D}}=\frac{\mathrm{R}_{\mathrm{u}}}{\mathrm{r}_{\mathrm{u}}}\left(1-\mathrm{e}^{-\mathrm{a} \cdot \mathrm{F}_{\mathrm{D}}}\right) \]

Note: All Formulas need to be applied in each Field Class separately.


Serpen, U., Petroleum Economics, Course Notes, ITU Petroleum and Natural Gas Engineering, Istanbul, Turkey, (2008) Page: 83.

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