The Mathematics of Fluid Flow Through Porous Media

Name: The Mathematics of Fluid Flow Through Porous Media
Brand: MIXIUK
SKU: 9781119663843
Price: 11519.0 INR
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by Allen , Myron B.

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ISBN13: 9781119663843
Binding: Hardcover
Subject: Mathematics and Statistics
Publisher: Wiley
Publisher Imprint: Wiley
Publication Date: January 1, 2021
Pages: 250
Original Price: GBP 107.95
Language: English
Edition: N/A
Item Weight: 472 grams
BISAC Subject(s): Applied

About The Book

From the Back Cover

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.

About The Author

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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