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Hyperbolic Decline & EUR Calculator

Arps qi, Di, b — rate, cumulative, and EUR to an economic limit.

Arps hyperbolic decline: qi, nominal decline Di (1/month), and b-factor. Estimate rate, cumulative production, and EUR to an economic rate limit.

Use b = 0 for exponential (Di ≈ monthly % decline as decimal).

Results

Rate at time

393 /mo

Cumulative Np

15,827 units

Instant decline

2.93%/mo

EUR to limit

40,838 units

Months to limit

228.7

After 24.0 months: q ≈ 393 units/month, Np ≈ 15827 cumulative units. EUR to 50 units/mo limit ≈ 40838 over 228.7 months. Tie to pressure and operating constraints before reserves booking.

engineeringEngineering screening only. Engineering screening calculator only — not a substitute for licensed professional engineering, API/ASME/code-compliant design, certified reserves audits, regulatory well approvals, or field-measured PVT and flow data. Verify all inputs, units, and correlations against your facility standards and qualified sign-off before operations or design decisions.

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Exportable decline tables, segment fits, and portfolio roll-ups — Graham (Geologist) and Caleb (Engineer) in Workspace for reserves narrative when you sign in.

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Decline curves tell stories — b-factor tells you which one

Hyperbolic Arps with b < 1 is the default language of unconventional and many conventional forecasts. Di sets early steepness; b controls how long the tail bends.

EUR to an economic limit is more honest than infinite-time integrals — always tie cutoff rate to operating cost and facility constraints.

This tool is single-segment screening. Spreadsheet Studio is where multi-segment history matches and type-curve libraries live.