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Explore advanced geomechanics concepts through a comprehensive lecture series from PGE 383 delivered at The University of Texas at Austin by D Nicolas Espinoza. Master fundamental principles of continuum mechanics including stress analysis, principal stresses, Mohr circles, and stress tensor decomposition. Delve into elasticity problems by studying equilibrium, kinematic, and constitutive laws while solving Navier equations for plane-strain scenarios and wellbore problems using sonic log data for in-situ stress determination. Examine the mechanics of saturated porous solids, covering particle-fluid interactions, poroelasticity theory, effective stress principles, drained and undrained loading conditions, and consolidation theory with practical applications to overpressure and stress path analysis during reservoir depletion. Investigate inelasticity phenomena including failure criteria such as Coulomb and Griffith models, plasticity yield surfaces, post-peak behavior, creep mechanisms, and grain crushing processes. Study the mechanics of open mode fractures through linear elastic fracture mechanics, PKN-KGD models, wellbore fracture testing, hydraulic fracture propagation in heterogeneous media, stress interference in multistage fracturing, and fracture behavior in unconsolidated sands. Analyze mechanical properties of various reservoir geomaterials including unconsolidated sands, shale, sandstone, limestone, and evaporites while understanding scales, effective properties, heterogeneity, spatial variability, stress-dependent permeability, and laboratory measurement techniques. Access supplementary materials including hands-on Jupyter notebook projects, course notes covering introductory concepts, and handwritten class notes to reinforce theoretical understanding with practical applications in petroleum and geotechnical engineering.
