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Minimum Permeability given Coefficient of Permeability for Earth Dam Calculator

Relative Permeability Formula:

\[ \mu_r = \frac{k^2}{K_o} \]

m/s
%

1. What is Minimum Permeability for Earth Dam?

Definition: This calculator determines the relative permeability of soil for earth dams, considering a tolerance range to ensure structural stability.

Purpose: It helps civil engineers determine appropriate permeability values for earth dam design and construction.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \mu_r = \frac{k^2}{K_o} \]

Where:

  • \( \mu_r \) — Relative permeability (H/m)
  • \( k \) — Coefficient of permeability of soil (m/s)
  • \( K_o \) — Intrinsic permeability (m²)

Explanation: The calculator squares the coefficient of permeability and divides by intrinsic permeability to get relative permeability, then calculates a tolerance range.

3. Importance of Permeability Calculation for Earth Dams

Details: Proper permeability estimation ensures dam stability, controls seepage, and prevents piping failure in earth dams.

4. Using the Calculator

Tips: Enter the coefficient of permeability (m/s), intrinsic permeability (m²), and tolerance percentage (default 5%). All values must be > 0 (except tolerance which can be 0).

5. Frequently Asked Questions (FAQ)

Q1: What is a typical coefficient of permeability for earth dams?
A: Typically ranges from 1×10⁻⁵ to 1×10⁻⁹ m/s depending on soil type and compaction.

Q2: Why include a tolerance percentage?
A: The tolerance accounts for material variability and provides a safety margin in design.

Q3: How is intrinsic permeability determined?
A: Through laboratory tests like constant-head or falling-head permeability tests.

Q4: What happens if permeability is too high?
A: Excessive seepage can lead to dam failure through piping or internal erosion.

Q5: How does this relate to dam core design?
A: The core typically uses lower permeability materials than the shell to control seepage.

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