{"product_id":"the-mathematics-of-fluid-flow-through-porous-media-9781119663843","title":"The Mathematics of Fluid Flow Through Porous Media","description":"\u003cp\u003e\u003cb\u003eMaster the techniques necessary to build and use computational models of porous media fluid flow \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIn \u003ci\u003eThe Mathematics of Fluid Flow Through Porous Media\u003c\/i\u003e, 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. \u003c\/p\u003e \u003cp\u003eDiscussions 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, \u003ci\u003eThe Mathematics of Fluid Flow Through Porous Media\u003c\/i\u003e is an indispensable resource for students who have not previously encountered these concepts and need to master them to conduct computer simulations. \u003c\/p\u003e \u003cp\u003eTeaching 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: \u003c\/p\u003e \u003cul\u003e \u003cli\u003eA thorough introduction to the mechanics of fluid flow in porous media, including the kinematics of simple continua, single-continuum balance laws, and constitutive relationships \u003c\/li\u003e \u003cli\u003eAn 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 \u003c\/li\u003e \u003cli\u003ePractical discussions of solute transport, including the transport equation, hydrodynamic dispersion, one-dimensional transport, and transport with adsorption \u003c\/li\u003e \u003cli\u003eA treatment of multiphase flows, including capillarity at the micro- and macroscale \u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003ePerfect for graduate students in mathematics, civil engineering, petroleum engineering, soil science, and geophysics, \u003ci\u003eThe Mathematics of Fluid Flow Through Porous Media\u003c\/i\u003e also belongs on the bookshelves of any researcher who wishes to extend their research into areas involving flows in porous media. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eMyron B. Allen, \u003c\/b\u003e is Professor Emeritus of Mathematics at the University of Wyoming in Laramie, Wyoming, USA. He is the author of \u003ci\u003eContinuum Mechanics: The Birthplace of Mathematical Models\u003c\/i\u003e and co-author of the first and second editions of \u003ci\u003eNumerical Analysis for Applied Science\u003c\/i\u003e.\u003c\/p\u003e\u003cbr\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":50379980079378,"sku":"9781119663843","price":128.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_9735cbbc-c078-4ce4-99dd-5c9df8a5db26.jpg?v=1728672305","url":"https:\/\/surprise-castle.myshopify.com\/products\/the-mathematics-of-fluid-flow-through-porous-media-9781119663843","provider":"Surprise Castle","version":"1.0","type":"link"}