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6 in-depth references

Reserves and Recovery Calculators

Use 6 in-depth reserves and recovery petroleum engineering calculators with formulas, inputs, outputs, units, source references, and engineering guidance.

Reserves and Recovery calculators group upstream petroleum engineering calculations by the field workflow and input data they support.

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Reservoir EngineeringReserves and Recovery

Duong Oil Production Rate

q(t)=q1x−meaFF=x1−m−11−mF∣m=1=ln⁡xx=t1 day\begin{aligned}q(t)&=q_1x^{-m}e^{aF}\\F&=\frac{x^{1-m}-1}{1-m}\\F|_{m=1}&=\ln x\\x&=\frac{t}{1\,\mathrm{day}}\end{aligned}
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Reservoir EngineeringReserves and Recovery

Logistic Growth Cumulative Oil Production

Np(t)=Ktnt1/2 n+tnN_p(t)=\frac{Kt^n}{t_{1/2}^{\,n}+t^n}
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Reservoir EngineeringReserves and Recovery

Logistic Growth Oil Production Rate

q(t)=Knt1/2 ntn−1(t1/2 n+tn)2q(t)=\frac{Knt_{1/2}^{\,n}t^{n-1}}{(t_{1/2}^{\,n}+t^n)^2}
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Reservoir EngineeringReserves and Recovery

Modified Hyperbolic Decline Rate

q(t)=qi(1+bDith)−1/b×e−Dt(t−th)th=min⁡(t,ts)ts=Di−DtbDiDt\begin{aligned}q(t)&=q_i(1+bD_it_h)^{-1/b}\\&\quad\times e^{-D_t(t-t_h)}\\t_h&=\min(t,t_s)\\t_s&=\frac{D_i-D_t}{bD_iD_t}\end{aligned}
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Reservoir EngineeringReserves and Recovery

Power-Law Exponential Decline Rate

q(t)=q^iexp⁡[−D∞t−D^itn]q(t)=\hat q_i\exp[-D_\infty t-\hat D_i t^n]
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Reservoir EngineeringReserves and Recovery

Stretched Exponential Decline Rate

q(t)=q^iexp⁡[−(tτ)n]q(t)=\hat q_i\exp\left[-\left(\frac{t}{\tau}\right)^n\right]
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