Machine Learning for Geotechnical Site Characterization: Physics-Informed Neural Networks, Spatial Gaussian Process Regression, and CPT Data Inversion
Machine Learning (ML) for geotechnical site characterization transforms sparse, noisy subsurface borehole and in-situ testing data into continuous 3D geological models and probabilistic soil parameter fields. Traditional geotechnical characterization relies heavily on localized point sampling—such as Cone Penetration Tests (CPT) or Standard Penetration Tests (SPT)—and deterministic interpolation, which often fails to capture complex spatial soil variability, stratigraphy layering, and non-linear stress-strain relationships. Spatial soil property interpolation (e.g., undrained shear strength $s_u$ or tip resistance $q_c$) across dynamic spatial coordinates $\mathbf{x} = (x, y, z)$ is modeled using Gaussian Process Regression (Kriging) . The predicted mean $\mu(\mathbf{x}^*)$ and variance $\sigma^2(\mathbf{x}^*)$ at an unsampled location $\mathbf{x}^*$ given observed vector $\mathbf{y}$ are derived as: $$\mu(\mathbf{x}^*) = \mathbf{k}^T \cdot \left( \mathbf{K} + \sigma_n^2 \mathbf{I...