Computational Geomechanics. Manuel Pastor

      1  Cover

      2  Title Page Theory and Applications

      3  Copyright Page

      4  Preface

      5  1 Introduction and the Concept of Effective Stress 1.1 Preliminary Remarks 1.2 The Nature of Soils and Other Porous Media: Why a Full Deformation Analysis Is the Only Viable Approach for Prediction 1.3 Concepts of Effective Stress in Saturated or Partially Saturated Media Note References

      6  2 Equations Governing the Dynamic, Soil–Pore Fluid, Interaction 2.1 General Remarks on the Presentation 2.2 Fully Saturated Behavior with a Single Pore Fluid (Water) 2.3 Partially Saturated Behavior with Air Pressure Neglected (p _a = 0) 2.4 Partially Saturated Behavior with Air Flow Considered (p _a ≥ 0) 2.5 Alternative Derivation of the Governing Equation (of Sections 2.2–2.4) Based on the Hybrid Mixture Theory 2.6 Conclusion References

      7  3 Finite Element Discretization and Solution of the Governing Equations 3.1 The Procedure of Discretization by the Finite Element Method 3.2 u‐p Discretization for a General Geomechanics’ Finite Element Code 3.3 Theory: Tensorial Form of the Equations 3.4 Conclusions References

      8  4 Constitutive Relations 4.1 Introduction 4.2 The General Framework of Plasticity 4.3 Critical State Models 4.4 Generalized Plasticity Modeling 4.5 Alternative Advanced Models 4.6 Conclusion References

      9  5 Special Aspects of Analysis and Formulation 5.1 Introduction 5.2 Far‐Field Solutions in Quasi‐Static Problems¹ 5.3 Input for Earthquake Analysis and Radiation Boundary 5.4 Adaptive Refinement for Improved Accuracy and the Capture of Localized Phenomena 5.5 Stabilization of Computation for Nearly Incompressible Behavior with Mixed Interpolation⁶ 5.6 Conclusion Notes References

      10  6 Examples for Static, Consolidation, and Hydraulic Fracturing Problems 6.1 Introduction 6.2 Static Problems 6.3 Seepage¹ 6.4 Consolidation² 6.5 Hydraulic Fracturing: Fracture in a Fully Saturated Porous Medium Driven By Increase in Pore Fluid Pressure³ 6.6 Conclusion References

      11  7 Validation of Prediction by Centrifuge 7.1 Introduction 7.2 Scaling Laws of Centrifuge Modelling 7.3 Centrifuge Test of a Dyke Similar to a Prototype Retaining Dyke in Venezuela 7.4 The Velacs Project 7.5 Comparison with the Velacs Centrifuge Experiment 7.6 Centrifuge Test of a Retaining Wall (Dewooklar et al 2009) 7.7 Conclusions References

      12  8 Applications to Unsaturated Problems 8.1 Introduction 8.2 Isothermal Drainage of Water from a Vertical Column of Sand 8.3 Air Storage Modeling in an Aquifer 8.4 Comparison of Consolidation and Dynamic Results Between Small Strain and Finite Deformation Formulation 8.5 Dynamic Analysis with a Full Two‐Phase Flow Solution of a Partially Saturated Soil Column Subjected to a Step Load 8.6 Compaction and Land Subsidence Analysis Related to the Exploitation of Gas Reservoirs¹ 8.7 Initiation of Landslide in Partially Saturated Soil² 8.8 Conclusion References

      13