Mathematics of Fluid Flow Through Porous Media

Dr. Myron B. Allen's The Mathematics of Fluid Flow Through Porous Media is a comprehensive and mathematically rigorous source of foundational principles for porous medium flow modeling. It discusses the mathematical fundamentals of groundwater flow, contaminant transport, and petroleum reservoir simulation, and introduces advanced techniques such as the method of characteristics, fundamental solutions, similarity methods, and dimensional analysis. The book is an indispensable resource for students and researchers in mathematics, civil engineering, petroleum engineering, soil science, and geophysics, and contains 75 exercises suitable for self-study or as part of a formal course.

Format: Hardback
Length: 224 pages
Publication date: 24 August 2021
Publisher: John Wiley and Sons Ltd

In The Mathematics of Fluid Flow Through Porous Media, renowned professor and mathematician Dr. Myron B. Allen presents a comprehensive and mathematically rigorous guide to the foundational principles of porous medium flow modeling. This invaluable resource empowers readers to develop intelligent computation models for groundwater flow, contaminant transport, and petroleum reservoir simulation. Through detailed discussions of mathematical fundamentals, readers gain the necessary skills to tackle computational challenges at the forefront of the field.

The book introduces several advanced techniques, including the method of characteristics, fundamental solutions, similarity methods, and dimensional analysis, making it an indispensable resource for students who require mastery of these concepts to conduct computer simulations. With a focus on teaching mastery of a subject that has become a standard tool for engineers and applied mathematicians, the book includes 75 exercises suitable for self-study or as part of a formal course.

The Mathematics of Fluid Flow Through Porous Media offers a thorough introduction to the mechanics of fluid flow in porous media, encompassing the kinematics of simple continua, single-continuum balance laws, and constitutive relationships. It delves into single-fluid flows in porous media, covering Darcys Law, non-Darcy flows, the single-phase flow equation, areal flows, and flows with wells. Practical discussions on solute transport encompass the transport equation, hydrodynamic dispersion, one-dimensional transport, and transport with adsorption. Additionally, the book explores multiphase flows, including capillarity at the micro- and macroscale.

By mastering the techniques outlined in this comprehensive text, readers will gain a deep understanding of the complex dynamics of fluid flow in porous media and be well-equipped to apply their knowledge to real-world applications. Whether they are students, researchers, or professionals in the field, The Mathematics of Fluid Flow Through Porous Media is a valuable resource that will enhance their understanding and expertise in this critical area of mathematics.

Weight: 454g
Dimension: 620 x 275 x 20 (mm)
ISBN-13: 9781119663843