Shear Wave Velocity in the East Nile Delta Clay: Correlations with Static CPT Measurements

Prediction of Shear Wave Velocity in Fine-grained Soils From Cone Penetration Test Data: Toward a Global Approach

“…Piratheepan ( 35 ) and Hegazy and Mayne ( 42 )-b have the same trend of error bias. The bias generally decreases with the increase in V s for the correlations proposed by Mayne ( 38 ) and Fayed and Mousa ( 15 )-e. The predicted values were found to be close to the measured values between 130 and 250 m/s. Comparatively, Mayne and Rix ( 5 )-b was found to be fairly accurate within V s values of 60 to 240 m/s.…”

“…Correlations from the literature (Table 2) that exhibit high bias were excluded. As such, Madiai and Simoni ( 39 )-a and -b, Mayne ( 38 ), Mayne and Rix ( 5 )-b, Long and Donohue ( 37 ), Iyisan ( 41 ), Tün ( 40 ), and Fayed and Mousa ( 15 )-b and -e were all eliminated. The errors in their V s predictions were substantial (some exceed 29 times the measured values).…”

Bayesian probabilistic characterization of the shear-wave velocity combining the cone penetration test and standard penetration test

“…Data represent the in-situ testing data and Prior represents the prior information. Using the Theorem of Total Probability, we can express 𝑃(𝑉 𝑆 |𝐷𝑎𝑡𝑎, 𝑃𝑟𝑖𝑜𝑟) as follows: (11) Here 𝑃(𝑉 𝑆 |𝜇 𝑉𝑆 , 𝜎 𝑉𝑆 ) is the conditional PDF of 𝑉 𝑆 obeying the log-normal distribution given 𝜇 𝑉𝑆 , 𝜎 𝑉𝑆 with the following expressions:…”

“…This study focuses primarily on the empirical relationship between the uncorrected SPT blow count (N) and V S as well as the empirical relationship between the energy-corrected N and V S [4][5][6][7][8][9][10]. Regarding CPT, research has focused on the relationship between measured tip resistance (𝑞 𝑐 ) or corrected tip resistance (𝑞 𝑡 ) and 𝑉 𝑆 [11][12][13][14][15][16][17][18]. In these empirical formulations, there are differences since the relationship between soil type and is not only influenced by the soil type, but also by regional factors [19][20][21][22].…”

“…The formula for determining 𝑟 𝑎 is shown below: 𝑃(𝑉 𝑆.𝑚 * |𝜇 𝑉𝑆 ，𝜎 𝑉𝑆 ) and 𝑃(𝑉 𝑆.𝑚−1 |𝜇 𝑉𝑆 ，𝜎 𝑉𝑆 ) are the conditional PDF obtained using the Theorem of Total probability, respectively, and Eq. (25) can be rewritten as follows:Where 𝐼(𝑉 𝑆.𝑚 * ) and 𝐼(𝑉 𝑆.𝑚−1 ) are respectively the integral terms in Equation(11). It can be solved numerically by integration: 𝑉 𝑆 |𝜇 𝑗 𝜇 , 𝜎 𝑗 𝜎 ) 𝑃 (𝐷𝑎𝑡𝑎|𝜇 𝑗 𝜇 , 𝜎 𝑗 𝜎 )…”