Díaz Viera, M.A., Sahay, N., Coronado, M. and Ortiz Tapia, A. (eds.): Mathematical and Numerical Modeling in Porous Media: Applications in Geosciences (original) (raw)

2014, Mathematical Geosciences

Statistical and Stochastic Characterization and Waves. This organization is probably the only nexus among the papers, which display large heterogeneity in content, quality and English usage. Regarding the last item, a native English editor should have proofread all papers; there are too many typos left, and too many syntactically incorrect constructions. The reader will encounter very good papers with lengthy and detailed descriptions of the numerical implementation of complex coupled phenomena in porous media; but also bad ones with superficial descriptions of the methods used and difficult to sustain conclusions. All in all, the book lacks the thread that could transform a collection of papers into a reference work on the mathematical and numerical modeling of porous media. The book is written mostly by petroleum engineering, with almost no reference to the work on porous media done in other disciplines, such as hydrogeology; for this reason, the porous media scientist or engineer foreign to the nomenclature used in petroleum engineering may seem lost even though the process studied are exactly the same in all cases. Section 1 groups three papers on fundamental concepts. The reader is recommended to skip the first chapter on relative permeability. It is not acceptable to publish a paper including symbols without explanation, figures with no labels in the axes, or an appendix full of meaningless equations. The author of this paper claims that he was the first one writing the true multiphase equations, but his explanation of simple concepts such as Darcy's law or the effective permeability associated to a layered media are obscure and difficult to understand. The second chapter on upscaling and hybrid models goes in great detail in the analysis of reactive transport and how upscaled equations are derived, it presents a phase diagram to establish when the upscaling equations do not hold and proposes a hybrid model in which parts of the domain are modeled at the pore scale and parts are modeled by the upscaled equation using a continuum