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Terzaghi 2D Dam Seepage Exit Hydraulic Gradient & Piping Safety Calculator

Karl Terzaghi proved that upward seepage forces at the downstream toe of dams and cofferdams reduce effective soil stress to zero.

Seepage potential drop across exit boundary flow net element

Flow path length along exit flownet mesh cell

Calculated Result
0.6

Exit Hydraulic Gradient (iexit)

Safety Factor Against Piping

1.67

Calculation Breakdown

  1. Terzaghi Seepage Criterioniexit = ΔH / ΔL => 0.6

Exit Gradient vs Path Length

Interactive visualization based on your current inputs

iexit
0.00.40.81.11.51.0 m2.5 m5.0 mPath Length (m)Gradient (iexit)

What Is the Terzaghi 2D Dam Seepage Exit Hydraulic Gradient & Piping Safety Calculator?

Karl Terzaghi proved that upward seepage forces at the downstream toe of dams and cofferdams reduce effective soil stress to zero.

When the exit gradient exceeds the critical gradient (ic ~ 1.0 for sand), boiling and catastrophic backward erosion piping occur.

How Does the Terzaghi 2D Dam Seepage Exit Hydraulic Gradient & Piping Safety Calculator Work?

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

Terzaghi 2D Dam Seepage Exit Hydraulic Gradient & Piping Safety Calculator Formula & Variables

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

i_{exit} = \frac{\Delta H}{\Delta L}, \quad \text{FS}_{piping} = \frac{i_c}{i_{exit}} = \frac{\frac{\gamma'}{\gamma_w}}{i_{exit}}

Terzaghi exit gradient and factor of safety against piping.

How to Use the Terzaghi 2D Dam Seepage Exit Hydraulic Gradient & Piping Safety 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

Sheet Pile Cofferdam Excavation Base

Input Values:

headLossDeltaHM:1.0
seepageFlowPathLengthLM:2.0

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

  • Design standards typically require a piping safety factor of at least 4.0 to 5.0 at dam toes.

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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