mechanics_functions.relative_density_funcs.calc_Albatal_rel_density(max_deceleration)

Calculate the relative density following the correlation presented by Albatal (2019).

Parameters:

max_deceleration (float) – The maximum deceleration from the BlueDrop recording in g’s.

Returns:

Relative density [-].

Return type:

float

Notes

The relative density is calculated using the correlation provided by Albatal (2019):

\[D_r = -2.18 \times 10^{-4} \cdot a^3 + 1.29 \times 10^{-2} \cdot a^2 + 1.61 \cdot a - 13.09\]
where:

  • \(D_r\): Relative density [-].

  • \(a\) : Maximum deceleration [g].

For more information, refer to the paper: [Albatal (2019)](https://cdnsciencepub.com/doi/pdf/10.1139/cgj-2018-0267) (Equation at the bottom right of page 26).

mechanics_functions.relative_density_funcs.calc_Jamiolkowski_relative_density(qNet_dry, depth, soil_unit_wt=17.81, water_unit_wt=9.81, C0=300, C1=0.46, C2=2.96, k0=0.5)

Calculate the relative density (I_d) using the equation from Jamiolkowski et al. (2003).

Parameters:

  • qNet_dry (float) – Net drained bearing resistance [kPa].

  • depth (float) – Depth below the seabed [m].

  • soil_unit_wt (float, optional) – Total soil unit weight [kN/m^3], default is 17.81.

  • water_unit_wt (float, optional) – Water unit weight (rho * g) [kN/m^3], default is 9.81.

  • C0 (float, optional) – Dimensionless coefficient, default is 300.

  • C1 (float, optional) – Coefficient, default is 0.46.

  • C2 (float, optional) – Coefficient, default is 2.96.

  • k0 (float, optional) – Coefficient of lateral earth pressure at rest, default is 0.5.

Returns:

Relative density (I_d).

Return type:

float

Notes

The relative density is calculated using the following equation:

\[I_{d} = \frac{1}{C_{2}} \ln \left( \frac{q_{net, d}}{ C_{0} p_{0}^{' \ C_{1} } } \right)\]
where:

  • \(I_{d}\) : Relative density.

  • \(q_{net, d}\) : Net drained bearing resistance.

  • \(C_{0}\) : Dimensionless coefficient.

  • \(C_{1}\) : Coefficient.

  • \(C_{2}\) : Coefficient.

  • \(p'_{0}\) : Mean effective stress.

The vertical effective stress is calculated as:

\[\sigma_{1} = (\gamma_{soil} - \gamma_{water}) \cdot \text{depth}\]

The horizontal effective stress is calculated as:

\[\sigma_{3} = k_{0} \cdot \sigma_{1}\]

The mean effective stress is calculated using the Cambridge mean effective stress equation.

For more information, refer to the paper: Jamiolkowski et al. (2003).