Rate of growth per unit of exploration length

Input(s)

FF: Total Meterage Drilled up to date and expected to be drilled at the end Discovery ( ft\mathrm{ft} )

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

rr: The Ratio of Reserves Discovered in FF Meterage to the FDF_{D} Exploration Metrage (fraction)

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

bb: Ratio Constant (dimensionless)

Output(s)

drd(FfD)\frac{d r}{d\left(F-f_{D}\right)}: Increase in Rate of Growth per Additional Unit of Length Drilled (bbl/ft)(\mathrm{bbl} / \mathrm{ft})

Formula(s)

drd(FFD)=b(rur)\frac{\mathrm{dr}}{\mathrm{d}\left(\mathrm{F}-\mathrm{F}_{\mathrm{D}}\right)}=\mathrm{b}\left(\mathrm{r}_{\mathrm{u}}-\mathrm{r}\right)

If There is no Extra Exploration (FFD=0;r=1)\left(F-F_{D}=0 ; r=1\right);

r=ru[(ru1)eb(FFD)]\mathrm{r}=\mathrm{r}_{\mathrm{u}}-\left[\left(\mathrm{r}_{\mathrm{u}}-1\right) \cdot \mathrm{e}^{-\mathrm{b}\left(\mathrm{F}-\mathrm{F}_{\mathrm{D}}\right)}\right]

Reference(s)

Serpen, U., Petroleum Economics, Course Notes, ITU Petroleum and Natural Gas Engineering, Istanbul, Turkey, (2008) Page: 79.


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