Shear Wave Velocity

Shear Wave Velocity 1 (All Soils)

Shear Wave velocity 1 ($//<![CDATA[ \begin{array}{l}V_s\end{array} //]]>$) in Shear_Wave_Velocity_1 is defined as:

$//<![CDATA[ \begin{array}{l}V_S\end{array} //]]>$

$$//<![CDATA[ \begin{array}{l}\displaystyle V_s=C_1 \cdot log(f_s)+C_2\end{array} //]]>$$

Mayne (2006), NCHRP Synthesis 368 p 30

Where:
     $//<![CDATA[ \begin{array}{l}f_s\end{array} //]]>$ is in kPa.
     $//<![CDATA[ \begin{array}{l}C_1\end{array} //]]>$ is 118.8 in the published formula, and is stored in the Shear_Wave_Velocity_1_C1 field.
     $//<![CDATA[ \begin{array}{l}C_2\end{array} //]]>$is 18.5 in the published formula, and is stored in the Shear_Wave_Velocity_1_C2 field.

The constants are stored on CPT_POINT_CORRELATION_PARAMETERS and CPT_PROJECT_CORRELATION_PARAMETERS tables.

Shear Wave Velocity 2 (All Soils)

Shear Wave velocity 2 ($//<![CDATA[ \begin{array}{l}V_s\end{array} //]]>$) in Shear_Wave_Velocity_2 is defined as:

$$//<![CDATA[ \begin{array}{l}\displaystyle V_s=(C_1 \cdot log(q_t)-C_2)^{C_3} \cdot \left( \frac{f_s}{q_t} \cdot100 \right)^{C_4}\end{array} //]]>$$

Hegazy and Mayne (1995), NCHRP Synthesis 368 p 30

Where:
     $//<![CDATA[ \begin{array}{l}q_t\end{array} //]]>$ and $//<![CDATA[ \begin{array}{l}f_s\end{array} //]]>$ are in kPa.
     $//<![CDATA[ \begin{array}{l}C_1\end{array} //]]>$ is 10.1 in the published formula, and is stored in the Shear_Wave_Velocity_2_C1 field.
     $//<![CDATA[ \begin{array}{l}C_2\end{array} //]]>$ is 11.4 in the published formula, and is stored in the Shear_Wave_Velocity_2_C2 field.
     $//<![CDATA[ \begin{array}{l}C_3\end{array} //]]>$ is 1.67 in the published formula, and is stored in the Shear_Wave_Velocity_2_C3 field.
     $//<![CDATA[ \begin{array}{l}C_4\end{array} //]]>$ is 0.3 in the published formula, and is stored in the Shear_Wave_Velocity_2_C4 field.

The constants are stored on CPT_POINT_CORRELATION_PARAMETERS and CPT_PROJECT_CORRELATION_PARAMETERS tables.

This correlation of $//<![CDATA[ \begin{array}{l}V_s\end{array} //]]>$ is calculated when the Soil_Type_1 field value on the CPT_DATA table has any value for that row.

Shear Wave Velocity 3 (Clays)

Shear Wave velocity 3 ($//<![CDATA[ \begin{array}{l}V_s\end{array} //]]>$) in Shear_Wave_Velocity_3 is defined as:

$$//<![CDATA[ \begin{array}{l}\displaystyle V_s=C_1 \cdot(q_t)^{C_2}\end{array} //]]>$$

Mayne and Rix (1995), NCHRP Synthesis 368 p 30

Where:
     $//<![CDATA[ \begin{array}{l}q_t\end{array} //]]>$ and $//<![CDATA[ \begin{array}{l}f_s\end{array} //]]>$ are in kPa
     $//<![CDATA[ \begin{array}{l}C_1\end{array} //]]>$ is 1.75 in the published formula, and is stored in the Shear_Wave_Velocity_3_C1 field.
     $//<![CDATA[ \begin{array}{l}C_2\end{array} //]]>$ is 0.627 in the published formula, and is stored in the Shear_Wave_Velocity_3_C2 field.

The constants are stored on CPT_POINT_CORRELATION_PARAMETERS and CPT_PROJECT_CORRELATION_PARAMETERS tables.

This correlation of Vs is calculated only when the Soil_Type_1 field value on the CPT_DATA table is Fine or Mixed for that row.

Shear Wave Velocity 4 (Sands)

Shear Wave velocity 4 ($//<![CDATA[ \begin{array}{l}V_s\end{array} //]]>$) in Shear_Wave_Velocity_4 is defined as:

$$//<![CDATA[ \begin{array}{l}\displaystyle V_s=C_1 \cdot q_t^{C_2} \cdot (\sigma'_{v0})^{C_3}\end{array} //]]>$$

Baldi et al. (1989), NCHRP Synthesis 368 p 30

Where:
     $//<![CDATA[ \begin{array}{l}q_t\end{array} //]]>$ and $//<![CDATA[ \begin{array}{l}\sigma'_{v0}\end{array} //]]>$ are in MPa.
     $//<![CDATA[ \begin{array}{l}C_1\end{array} //]]>$ is 277 in the published formula, and is stored in the Shear_Wave_Velocity_4_C1 field.
     $//<![CDATA[ \begin{array}{l}C_2\end{array} //]]>$  is 0.13 in the published formula, and is stored in the Shear_Wave_Velocity_4_C2 field.
     $//<![CDATA[ \begin{array}{l}C_3\end{array} //]]>$ is 0.27 in the published formula, and is stored in the Shear_Wave_Velocity_4_C3 field.

The constants are stored on CPT_POINT_CORRELATION_PARAMETERS and CPT_PROJECT_CORRELATION_PARAMETERS tables.

This correlation of Vs is calculated only when the Soil_Type_1 field value on the CPT_DATA table is Coarse or Mixed for that row.