This book [...] is devoted to a detailed presentation of modeling of two particular topics in this vast area, namely CO2 geo-sequestration and compressed air energy storage. The two topics seem at first view quite unconnected, but, as far as modeling is concerned, this is not the case: the basic balance equations of the subsurface system are the same, only some of the involved fluids change. This makes a common treatment in a volume quite suitable because one of the topics may take advantage of methods employed for the solution of the other. The volume contains a foreword by Jacob Bear, one of the giants in multiphase porous media mechanics, who is recently actively involved in CO2 underground sequestration; and sixteen chapters written by thirty-seven experts in their field. Each chapter is self-contained to a certain extent. [...] This volume [...] is first of all most timely and certainly useful for geologists, geophysicists, hydrologists, mining and reservoir engineers, chemical engineers, to mention just a few, and certainly also to computational mechanists who will find there a plethora of useful information. Bernhard Schrefler, Professor Emeritus, University of Padua, September 2015