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Dupuit-Forchheimer Unconfined Well Steady Discharge Calculator

The Dupuit-Forchheimer formulation accounts for curved phreatic water-table drawdowns under steady radial gravity flow toward water supply wells.

Calculated Result
2680.6 m³/day

Well Discharge Yield (Q)

Discharge in Liters/sec

31.03 L/s

Pumping Well Drawdown (sw)

8.00 m

Head Squared Drop (H0² - hw²)

416.0 m²

Calculation Breakdown

  1. Apply Dupuit-Forchheimer unconfined steady radial flow equationQ = π·K·(H0² - hw²) / ln(R / rw) = π * 15 * (30² - 22²) / ln(300 / 0.2) = 2680.6 m³/day

Discharge Yield vs Pumping Drawdown

Interactive visualization based on your current inputs

m³/day
0.01.1k2.2k3.3k4.4k4 m Drawdown8 m Drawdown12 m Drawdown16 m DrawdownDrawdown (m)Discharge (m³/day)

What Is the Dupuit-Forchheimer Unconfined Well Steady Discharge Calculator?

The Dupuit-Forchheimer formulation accounts for curved phreatic water-table drawdowns under steady radial gravity flow toward water supply wells.

How Does the Dupuit-Forchheimer Unconfined Well Steady Discharge Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Dupuit-Forchheimer Unconfined Well Steady Discharge Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Q = \frac{\pi K (H_0^2 - h_w^2)}{\ln(R / r_w)}

Discharge scales quadratically with saturated aquifer thickness differences because saturated depth decreases toward the well axis.

How to Use the Dupuit-Forchheimer Unconfined Well Steady Discharge Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Unconfined Alluvial Gravel Well

Input Values:

hydraulicConductivityMPerDay:15
staticWaterTableHeightM:30
pumpingWaterTableHeightM:22
radiusOfInfluenceM:300
wellRadiusM:0.2

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Neglects vertical seepage face exit head above well water level.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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