Relative Permeability Formula:
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.
The calculator uses the formula:
Where:
Explanation: The calculator squares the coefficient of permeability and divides by intrinsic permeability to get relative permeability, then calculates a tolerance range.
Details: Proper permeability estimation ensures dam stability, controls seepage, and prevents piping failure in earth dams.
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).
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.