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The Mathematics of Fluid Flow Through Porous Media

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ISBN: 9781119663843 Category:

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