Instabilities Modeling in Geomechanics
1. Edition June 2021
368 Pages, Hardcover
Wiley & Sons Ltd
Instabilities Modeling in Geomechanics describes complex mechanismswhich are frequently met in earthquake nucleation, geothermal energyproduction, nuclear waste disposal and CO2 sequestration. Thesemechanisms involve systems of non-linear differential equations thatexpress the evolution of the geosystem (e.g. strain localization,temperature runaway, pore pressure build-up, etc.) at different lengthand time scales.
In order to study the evolution of a system and possible instabilities, itis essential to know the mathematical properties of the governingequations. Therefore, questions of the existence, uniqueness andstability of solutions naturally arise.This book particularly explores bifurcation theory and stability analysis,which are robust and rigorous mathematical tools that allow us to studythe behavior of complex geosystems, without even explicitly solving thegoverning equations. The contents are organized into 10 chapters whichillustrate the application of these methods in various fields ofgeomechanics.
Jean Sulem is Full Professor and Senior Researcher at LaboratoireNavier, Ecole des Ponts Paris Tech, France.