The Mathematics of Fluid Flow Through Porous Media - Hardcover

Über die Autorin bzw. den Autor

Myron B. Allen, is Professor Emeritus of Mathematics at the University of Wyoming in Laramie, Wyoming, USA. He is the author of Continuum Mechanics: The Birthplace of Mathematical Models and co-author of the first and second editions of Numerical Analysis for Applied Science.

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Master the concepts needed to build and use mathematical models of porous media flow

In The Mathematics of Fluid Flow Through Porous Media, distinguished professor and mathematician Dr. Myron B. Allen delivers a one-stop, mathematically rigorous introduction to the foundations of porous medium flow modeling, including groundwater flow, contaminant transport, and petroleum reservoir flows.

Insights into mathematical fundamentals prepare readers to work on computational problems at the frontiers of the field. Introducing several analytical techniques, including the method of characteristics, fundamental solutions, similarity methods, and dimensional analysis, The Mathematics of Fluid Flow Through Porous Media provides an indispensable resource for students who have not previously encountered these concept. Covering a subject that has grown steadily in importance and mathematical depth for over 150 years, and containing 75 exercises suitable for self-study or as part of a formal course, this book also includes:

• A practical introduction to the mechanics of fluid flow in porous media, including kinematics single- and multi-continuum balance laws, and constitutive relationships
• An exploration of single-fluid flows including Darcy’s Law, non-Darcy flows, the single-fluid flow equation, areal flows, flows with wells, and permeability tensors
• An analysis of solute transport, including the transport equation, hydrodynamic dispersion, the advection-diffusion equation and transport with adsorption
• A treatment of multiphase flows, including capillarity and the partial differential equations governing variably saturated, two-fluid, three-fluid, and compositional flows

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.