Master the techniques necessary to build and use computational
models of porous media fluid flow In The Mathematics of Fluid Flow
Through Porous Media, distinguished professor and mathematician Dr.
Myron B. Allen delivers a one-stop and mathematically rigorous
source of the foundational principles of porous medium flow
modeling. The book shows readers how to design intelligent
computation models for groundwater flow, contaminant transport, and
petroleum reservoir simulation. Discussions of the mathematical
fundamentals allow readers to prepare to work on computational
problems at the frontiers of the field. Introducing several
advanced techniques, including the method of characteristics,
fundamental solutions, similarity methods, and dimensional
analysis, The Mathematics of Fluid Flow Through Porous Media is an
indispensable resource for students who have not previously
encountered these concepts and need to master them to conduct
computer simulations. Teaching mastery of a subject that has
increasingly become a standard tool for engineers and applied
mathematicians, and containing 75 exercises suitable for self-study
or as part of a formal course, the book also includes: A thorough
introduction to the mechanics of fluid flow in porous media,
including the kinematics of simple continua, single-continuum
balance laws, and constitutive relationships An exploration of
single-fluid flows in porous media, including Darcy's Law,
non-Darcy flows, the single-phase flow equation, areal flows, and
flows with wells Practical discussions of solute transport,
including the transport equation, hydrodynamic dispersion,
one-dimensional transport, and transport with adsorption A
treatment of multiphase flows, including capillarity at the micro-
and macroscale Perfect for graduate students in mathematics, civil
engineering, petroleum engineering, soil science, and geophysics,
The Mathematics of Fluid Flow Through Porous Media also belongs on
the bookshelves of any researcher who wishes to extend their
research into areas involving flows in porous media.
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