\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Researchers** & **Data Source** & **Method** & **Input** & **Output** & **Best** & **Dataset** & **Output Form** \\ \hline \multirow{8}{*}{[PERSON] et al. [29]} & \multirow{8}{*}{FEM} & \multirow{8}{*}{ANN} & \(r_{b}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.99 & training & \multirow{8}{*}{Multi-output} \\ \cline{3-5}  & & & \(r_{b}\) & \(r_{b}\) & \(r_{b}\) & \\ \cline{3-5}  & & & \(\theta\) & \(\mathbb{R}^{2}\): 0.99 & validation & \\ \cline{3-5}  & & & \(r_{b}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.99 & test & \\ \hline \multirow{8}{*}{[PERSON] et al. [28]} & \multirow{8}{*}{FEM} & \multirow{8}{*}{ANN} & \(r_{b}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.99 & training & \multirow{8}{*}{Multi-output} \\ \cline{3-5}  & & & \(r_{b}\) & \(r_{b}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.99 & validation & \\ \cline{3-5}  & & & \(r_{b}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.99 & test & \\ \cline{3-5}  & & & & \(r_{b}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.98 & training & \multirow{3}{*}{Multi-output} \\ \cline{3-5}  & & & \(\theta\) & \(\mathbb{R}^{2}\): 0.99 & validation & \\ \cline{3-5}  & & & & \(r_{b}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.99 & test & \\ \hline \multirow{8}{*}{Zhang and Yin [16]} & \multirow{8}{*}{FEM} & \multirow{8}{*}{ANN} & \(r_{b}\) & \(r_{b}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.98 & training & \multirow{8}{*}{Multi-output} \\ \cline{3-5}  & & & \(r_{b}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.94 & validation & \\ \cline{3-5}  & & & & \(r_{b}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.99 & test & \\ \cline{3-5}  & & & & \(\theta\) & \(\mathbb{R}^{2}\): 0.74 & training & \multirow{3}{*}{Single-output} \\ \cline{3-5}  & \multirow{3}{*}{
\begin{tabular}{c} Literature Review, \\ Laboratory \\ experiment \\ \end{tabular} } & \multirow{3}{*}{ANN} & \(\frac{\text{BWS}}{\sigma_{b}^{2}}\) & \(\sigma_{t}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.95 & validation & \\ \cline{3-5}  & & & \(\theta\) & \(\mathbb{R}^{2}\): 0.82 & test & \\ \hline \multirow{8}{*}{[PERSON], [PERSON] et al. [15]} & \multirow{8}{*}{Literature Review} & \multirow{8}{*}{Kriging} & \(\frac{\text{BWS}}{\sigma_{b}^{2}}\) & \(\sigma_{t}\) & \(\text{MRE}^{2}\): 8.4\% & test & Single-output \\ \cline{3-5}  & & & \(\frac{\text{GR}}{\sigma_{b}^{2}}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.98 & training & \multirow{8}{*}{Multi-output} \\ \cline{3-5}  & & & \(\text{RHOB}^{\star}DTP^{5}\) & \(r_{b}\) & \(\mathbb{R}^{2}\): 0.65 & & \\ \cline{3-5}  & & & \(\text{DTS}^{\star}\text{UCS}^{7}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.92 & & \\ \cline{3-5}  & & & \(r_{b}\) & \(\mathbb{R}^{2}\): 0.60 & & \\ \cline{3-5}  & & & \(\mu\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.94 & & \\ \cline{3-5}  & & & \(\
u\) & \(r_{b}\) & \(\mathbb{R}^{2}\): 0.55 & & \\ \cline{3-5}  & & & \(GR\) & \(RHOBDTp\) & & & \\ \cline{3-5}  & & & \(DTSUICS\) & \(r_{b}\) & \(\mathbb{R}^{2}\): 0.98 & validation & Single-output \\ \cline{3-5}  & & & \(\mu\) & \(\
u\) & \(\mathbb{R}^{2}\): 0.98 & test & \\ \hline \multirow{8}{*}{[PERSON] and \(\text{[PERSON] [37]}\)} & \multirow{8}{*}{FEM} & \multirow{8}{*}{ANN} & \(\frac{\sigma_{b}}{\sigma_{b}}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.90 & \multirow{8}{*}{Total} & \multirow{8}{*}{Single-output} \\ \cline{3-5}  & & & \(\sigma_{t}\) & \(\theta\) & \(\frac{r_{b}}{\
u}\) & \(\mathbb{R}^{2}\): 0.85 & & \\ \hline \multirow{8}{*}{[PERSON] et al. [38]} & \multirow{8}{*}{Literature Review} & \multirow{8}{*}{ANN} & \(\frac{\text{BWS}}{\sigma_{b}}\) & & \(\frac{\text{RMSE:3.29}}{\sigma_{b}}\) & training & \multirow{8}{*}{Single-output} \\ \cline{3-5}  & & & \(\sigma_{c}\) & \(\sigma_{b}\) & \(\frac{\text{RMSE:12.2}}{\sigma_{b}}\) & validation & \\ \cline{3-5}  & & & \(\theta\) & \(\theta\) & \(\mathbb{RMSE:2.29}{\sigma_{b}}\) & training & \multirow{8}{*}{Single-output} \\ \cline{3-5}  & & & & \(RMSE\):10.47 & validation & \\ \hline \multirow{8}{*}{Benemaran [27]} & \multirow{8}{*}{Literature Review} & \multirow{8}{*}{XGBoost} & \(\sigma_{b}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.98 & training & \multirow{8}{*}{Single-output} \\ \cline{3-5}  & & & \(\sigma_{t}\) & \(\frac{r_{b}}{\
u}\) & \(\mathbb{R}^{2}\): 0.98 & test & \\ \cline{3-5}  & & & \(\sigma\) & \(\frac{r_{b}}{\
u}\) & \(\mathbb{R}^{2}\): 0.99 & training & \multirow{3}{*}{Single-output} \\ \cline{3-5}  & & & \(\sigma\) & \(\frac{r_{b}}{\
u}\) & \(\mathbb{R}^{2}\): 0.98 & test & \\ \hline \multirow{8}{*}{[PERSON] et al. [39]} & \multirow{8}{*}{Literature Review} & \multirow{8}{*}{SVR [10]} & \(\frac{\text{BWS}}{\sigma_{b}}\) & \(\sigma_{b}\) & \(\text{MRE}\): 0.95\% & test & Single-output \\ \cline{3-5}  & & & \(\frac{\theta}{\
u}\) & \(\mathbb{R}^{2}\) & \(\theta\) & \(\mathbb{R}^{2}\): 0.98 & test & Single-output \\ \hline \hline \end{tabular}  
* \({}^{1}\)_BWS_: borehole wall strength; \({}^{2}\) MRE: mean relative error; \({}^{3}\)_CR_: gamma ray; \({}^{4}\)_RHOB_: formation bulk density, \({}^{5}\)_DTP_: compressional sonic; \({}^{6}\)_DTS_: shear sonic; \({}^{7}\)_UCS_: uniaxial compressive strength; \({}^{8}\) MLPNN: Multilayer Perceptron Neural Network; \({}^{9}\)_CART_: classification and regression tree; \({}^{10}\) SVR: support vector regressor.  
\end{table}