Poroelasticity
(Englisch)
Theory and Applications of Transport in Porous Media 27
Alexander H.-D. Cheng

Presentation of the theory from both the intuitive physical arguments and the rigorous thermodynamics principles

A complete coverage ranging from the quasi-static theory, to the dynamic, viscoelastic, thermoelastic, and chemical effects

A comprehensive review of the related physical phenomena found in geophysics, geomechanics, soil and rock mechanics, petroleum engineering, and biomechanics

A near complete collection of closed form analytical solutions

A collection of biography of pioneers of the field

"The volume on Poroelasticity by Professor Alex Chengis a comprehensive and authoritative study that is bound to become a standardwork on the subject. It gives the essential developments and advances inporoelasticity taking into consideration both historical and modern perspectives.It is written in a readable style that will enable both researchers and practitionersto take advantage of the conceptual and mathematical developments and theextensive list of usable solutions to problems in poroelasticity ... .” (A.P.S.Selvadurai, William Scott Professor and James McGill Professor, McGillUniversity, Canada)

"A very comprehensive and well written textbookthat addresses the physical concept, mathematical formulation, analyticalsolutions, and applications of the theory of poroelasticity. This book is amust for students and researchers learning this subject.” (Younane Abousleiman,Larry W. Brummett/ONEOK Chair in Poromechanics, Director of PoroMechanicsInstitute, University of Oklahoma, USA)

"This is a very impressive book, containing a wealth of information onthe development of the theory of poroelasticity, to which Professor Cheng hashimself contributed many useful parts ... . The book presents fine presentationsof the properties of porous media in several chapters, many examples ofproblems with their solutions, and introductions to such varied topics asporoelastodynamics, poroviscoelasticity, porothermoelasticity andporochemoelasticity, which may further be developed in future ... . With its morethan 800 pages the book will remain a valuable source for many researchers formany years to come ... .” (Arnold Verruijt, Emeritus Professor of Soil Mechanics DelftUniversity of Technology, The Netherlands)

"This prodigious and scholarly book is a comprehensive treatment oflinear poroelasticity. It will be useful as an introduction to the subject aswell as a resource for practitioners and researchers. It is destined to be aclassic in the field.” (John Rudnicki, Professor of Civil and EnvironmentalEngineering and Mechanical Engineering, Northwestern University, USA)

"Professor Cheng has written the definitive book on the theory andapplications of poroelasticity. This comprehensive book will be an invaluablereference for scientists and engineers dealing with the mechanics offluid-infiltrated porous solids in biomechanics, geophysics, and geomechanics.”(Emmanuel Detournay, Theodore W. Bennett Chair in Mining Engineering and RockMechanics, University of Minnesota, USA)

"The author declares at the beginning that the goal of this book islimited, focusing largely on the linear theories, such as classical linearelasticity and porous medium flow (Darcy flow); hence the title has been chosenas poroelasticity, rather thanthe more general poromechanics one.However this limited goal is thoroughly covered in the 12 chapters of the book.Already the introduction contains an abundance of examples which certainlyattract the interest of the reader ... . Given the clarity of the text and thelarge spectrum of topics covered ... the book is a must for all those who want toapproach this rather complicated subject.” (Bernhard Schrefler, Professor Emeritus,Department of Civil, Environmental and Architectural Engineering, University ofPadua, Italy)

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.