Meterage model

Input(s)

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

aa: Ratio Constant (dimensionless)

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

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

Output(s)

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

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

Formula(s)

dRDdFD=a(RuruRD)\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 (FD=0;RD=0)\left(F_{D}=0 ; R_{D}=0\right);

RD=Ruru(1eaFD)\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.

Reference(s)

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

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