Poroelasticity (Theory and Applications of Transport in Porous Media, 27)

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. Front Matter....Pages i-xxvi Introduction....Pages 1-59 Constitutive Equation....Pages 61-82 Micromechanics....Pages 83-112 Variational Energy Formulation....Pages 113-169 Anisotropy....Pages 171-187 Governing Equation....Pages 189-228 Analytical Solution....Pages 229-396 Fundamental Solution and Integral Equation....Pages 397-473 Poroelastodynamics....Pages 475-571 Poroviscoelasticity....Pages 573-597 Porothermoelasticity....Pages 599-701 Porochemoelasticity....Pages 703-773 Back Matter....Pages 775-877