Poroelasticity (eBook)

Alexander H.-D. Cheng (Autor)

eBook Download: PDF

2016 | 1st ed. 2016
XXVI, 877 Seiten
Springer International Publishing (Verlag)
978-3-319-25202-5 (ISBN)

Infos

This book treats the mechanics of porous materials infiltrated with a fluid (poromechanics), focussing on its linear theory (poroelasticity). Porous materials from inanimate bodies such as sand, soil and rock, living bodies such as plant tissue, animal flesh, or man-made materials can look very different due to their different origins, but as readers will see, the underlying physical principles governing their mechanical behaviors can be the same, making this work relevant not only to engineers but also to scientists across other scientific disciplines. 

Readers will find discussions of physical phenomena including soil consolidation, land subsidence, slope stability, borehole failure, hydraulic fracturing, water wave and seabed interaction, earthquake aftershock, fluid injection induced seismicity and heat induced pore pressure spalling as well as discussions of seismoelectric and seismoelectromagnetic effects. The work also explores the biomechanics of cartilage, bone and blood vessels.

Chapters present theory using an intuitive, phenomenological approach at the bulk continuum level, and a thermodynamics-based variational energy approach at the micromechanical level. The physical mechanisms covered extend from the quasi-static theory of poroelasticity to poroelastodynamics, poroviscoelasticity, porothermoelasticity, and porochemoelasticity. Closed form analytical solutions are derived in details.   

This book provides an excellent introduction to linear poroelasticity and is especially relevant to those involved in civil engineering, petroleum and reservoir engineering, rock mechanics, hydrology, geophysics, and biomechanics.

Inhalt

1 Introduction1.1 Porous Material1.2 Physical Mechanism1.3 Poroelastic Phenomena2. Constitutive Equation2.1 Physical versus Phenomenological Approach2.2 Stress and Strain of Porous Medium2.3 Poroelastic Constitutive Equation2.4 Bulk Material Constant3. Micromechanics3.1 Micromechanical Analysis3.2 Ideal Porous Medium3.3 Effective Modulus3.4 Nonlinear Model3.5 Laboratory Test3.6 Table of Poroelastic Constants4. Variational Energy Formulation 4.1 Internal and external stress and strain4.2 Thermodynamic Principles4.3 Variational Formulation4.4 Constitutive Equation4.5 Intrinsic Material Constant4.6 Link with Phenomological Model4.7 Deviation from Ideal Porous Medium4.8 Limiting Material Properties4.9 Material Stability and Energy Diagram4.10 Semilinear Model 4.11. Laboratory Measurement of Intrinsic Constant5. Anisotropy5.1 Anisotropic Constitutive Equation5.2 Material Symmetry5.3 Micromechanics5.4 Ideal Porous Medium5.5 Example6. Governing Equation6.1 Darcy's Law6.2 Other Physical Laws6.3 Governing Equation6.4 Degenerated Governing Equation6.5 Boundary Value Problem6.6 Field Equation7. Analytical Solution7.2 Uniaxial Strain7.3 One-dimensional Consolidation Problem7.4 Plane Strain7.5 Generalized Plane Strain7.6 Bending of Plate7.7 Mandel Problem7.8 Water Wave over Seabed7.9 Spherical Symmetry7.10 Cryer Problem7.11 Spherical Cavity7.12 Axial Symmetry7.13 Cylinder Problem7.14 Borehole Problem7.15 Borehole and Cylinder Application Problems7.16 Moving Load on Half Plane7.17 Plane Strain Half Space and Layered Problem7.18 Axial Symmetry Half Space Problem8. Fundamental Solution and Integral Equation8.1 Reciprocal Theorem8.2 Somigliana Integral Equation8.3 Fredholm Integral Equation8.4 Stress Discontinuity Method8.5 Displacement Discontinuity Method8.6 Dislocation Method8.7 Galerkin Integral Equation8.8 Fundamental Solution8.9 Poroelasticity Fundamental Solution8.10 Fluid Source8.11 Fluid Dipole8.12 Fluid Dilatation8.13 Fluid Force8.14 Fluid dodecapole8.15 Total Force8.16 Solid Quadrupole and Hexapole8.17 Solid Center of Dilatation8.18 Displacement Discontinuity8.19 Edge Dislocation8.20 Fundamental Solution Relation Based on Reciprocity9. Poroelastodynamics9.1 Dynamic Equilibrium Equation9.2 Dynamic Permeability9.3 Governing Equation9.4 Wave Propagation9.5 Phase Velocity and Attenuation9.6 One-Dimensional Wave Problem9.7 Thermoelasticity Analogy9.8 Poroelastodynamics Fundamental Solution9.9 Integral Equation Representation9.10 Plane Wave Reflection and Refraction10. Poroviscoelasticity10.1 Viscoelasticity10.2 Poroviscoelasticity10.3 Borehole Problem10.4 Cylinder Problem10.5 Poroviscoelastodynamics11. Porothermoelasticity11.1 Constitutive Equation11.2 Balance Law11.3 Nonequilibrium Thermodynamics and Transport Law11.4 Governing Equation11.5 Uniaxial Strain11.6 Heating off a Half Space11.7 Axial Symmetry11.8 Borehole Problem11.9 Cylinder Problem11.10 Spherical Symmetry11.11 Cavity Problem11.12 Sphere Problem11.13 Porothermoelasticity Fundamental Solution12. Porochemoelasticity12.1 Electrochemical Effect12.2 Micromechanical Analysis12.3 Constitutive Equation12.4 Balance and Transport Law12.5 Governing Equation12.6 Uniaxial Strain Problem12.7 Axial Symmetry Problem12.8 Spherical Symmetry Problem AppendicesIndex

Produkt-Details

• Erscheint lt. Verlag: 20.4.2016
• Reihe/Serie: Theory and Applications of Transport in Porous Media
• Reihe/Serie: Theory and Applications of Transport in Porous Media
• Zusatzinfo: XXVI, 877 p. 171 illus., 62 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Geomechanics and Poroelasticity • Mechanics of Porous Materials • Micromechanics and Poroelasticity • Poroelastodynamics • Poromechanics and Poroelasticity • Porothermoelasticity • Poroviscoelasticity • Wave Propagation and Poroelasticity
• ISBN-10: 3-319-25202-X / 331925202X
• ISBN-13: 978-3-319-25202-5 / 9783319252025