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Well Economics Calculator: Decline Curve, NPV10, IRR, Payout & Breakeven

Arps decline · EUR · NPV & IRR · payout · breakeven price

Well economics: decline curve, NPV, IRR, payout and breakeven price
Model a new well with an Arps decline curve (exponential, hyperbolic or harmonic, with a terminal decline), flat prices and your operating costs. You get EUR, NPV at your discount rate, IRR, payout, and the breakeven price where NPV equals zero. Screening-level: flat prices, no differentials or shrink.

Production & decline

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Prices & interest

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Costs are charged at WI, revenue is received at NRI. Use the royalty / NRI calculator to get your NRI, and the decline curve fitting tool to get qi, decline and b from production data.

Costs & taxes

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Tax rates are illustrative, not state presets. Enter your own.

Key Relations

q(t) = qi / (1 + b·Di·t)^(1/b)
Exponential (b = 0): q = qi·e^(−Di·t)
Nominal from secant effective: Di = ((1−De)^(−b) − 1) / b; tangent: Di = −ln(1−De)
Terminal switch when Di/(1+b·Di·t) = −ln(1 − Dterm)
NPV = Σ CFₘ / (1+r)^(m/12) − WI·capex

Standards & References

  • Arps, J.J. (1945)
    “Analysis of Decline Curves,” Trans. AIME 160: exponential, hyperbolic and harmonic decline
  • SPEE Recommended Evaluation Practice #6
    Definition of decline-curve parameters: secant and tangent effective decline
  • SPE-PRMS
    Reserves and resources definitions; economic limit as the end of economic producing life

Engineering Notes

  • Decline input is effective annual. With the default secant convention, 65% means the rate falls to 35% of qi after one year. Many software packages use the tangent convention when unspecified; pick the one your decline came from, because the two give very different EUR at the same number.
  • Terminal decline is a minimum decline. If it is at or above the initial decline, the curve declines at the terminal rate from the start.
  • b and terminal decline drive EUR. A hyperbolic curve with b near 1 and no terminal decline overstates reserves.
  • The well is shut in at the economic limit (first month operating cash flow turns negative).
  • Screening tool: flat prices, constant GOR/condensate yield, no shrink, differentials, escalation, or abandonment cost.

How to Estimate Well Economics

  1. Set the decline curve. Enter the initial rate, the first-year effective decline, b (1.0 is a common unconventional starting point) and a terminal decline of 6-10% so the tail does not run forever.
  2. Enter prices, interest and costs. Revenue is multiplied by your NRI, costs by your WI. Add drill-and-complete capital, fixed and variable operating cost, and taxes.
  3. Read the results. NPV at your discount rate says whether the well beats your hurdle. The breakeven price is the flat price at which NPV equals zero. Payout is the month cumulative cash flow turns positive.

Frequently Asked Questions

What is an Arps decline curve?

Arps (1945) describes how well rate falls with time: exponential (constant percentage decline), hyperbolic (decline slows over time, exponent b typically between 0 and 1; above 1 is common for early shale production and needs a terminal decline) and harmonic (b = 1). Hyperbolic with a terminal exponential decline is the standard way to forecast shale and tight wells.

What is the difference between effective and nominal decline?

Nominal decline Di is the instantaneous rate in the equations. Effective decline is an annual percentage, defined two ways (SPEE REP 6): secant effective is the actual drop in rate over the first year (65% means the rate falls to 35%), giving hyperbolic Di = ((1-De)^(-b) - 1)/b; tangent effective gives Di = -ln(1-De) for any b. The two are equal for exponential decline. Choose the convention your decline came from.

What is a breakeven oil price?

The flat oil price at which the well NPV, at your discount rate, equals zero. Below it the well does not earn your required return. This calculator solves it by holding the gas price and all costs fixed.

How is EUR calculated?

EUR is the cumulative production from the decline curve until the economic limit (the first month operating cash flow is negative) or the maximum well life. It changes with price and costs because a higher price extends the economic life.

Is this a reserves or commercial evaluation?

No. It is a screening model with flat prices, a constant gas-oil ratio or condensate yield, and no shrink, differentials, escalation or abandonment cost. Use it to compare scenarios, not to book reserves.