It is a pleasure to be asked to write the foreword to this interesting new book. When Professor Bedrikovetsky first accepted my invitation to spend an extended sabbatical period in the Department of Mineral Resources Engineering at Imperial College of Science, Technology and Medicine, I hoped it would be a period of fruitful collaboration. This book, a short course and a variety of technical papers are tangible evidence of a successful stay in the UK. I am also pleased that Professor Bedrikovetsky acted on my suggestion to publish this book with Kluwer as part of the petroleum publications for which I am Series Editor. The book derives much of its origin from the unpublished Doctor of Science thesis which Professor Bedrikovetsky prepared in Russian while at the Gubkin Institute. The original DSc contained a number of discrete publications unified by an analytical mathematics approach to fluid flow in petroleum reservoirs. During his sabbatical stay at Imperial College, Professor Bedrikovetsky has refined and extended many of the chapters and has discussed each one with internationally recognised experts in the field. He received great encouragement and editorial advice from Dr Gren Rowan, who pioneered analytical methods in reservoir modelling at BP for many years.

This book comprises a new mathematical study of multiphase multicomponent flows in heterogeneous porous media. The goal is to develop analytical models of the recovery processes from heterogeneous reservoirs based on the exact analytical solutions of equations of flow in porous media. The analytical models developed describe chemical and hot waterflooding, injection of gases and solvents in oil and gas condensate reservoirs. Analytical modelling allows a wide comparative study of application of different recovery technologies in any actual hydrocarbon reservoir and permits a detailed sensitivity study. Analytical solutions of inverse problems allow the determination of the properties of reservoirs and fluids from field test data and laboratory data. Applications of analytical models in feasibility studies, in the development planning and design, and in reservoir characterization are given with respect to numerous CIS oil and gas condensate fields. While a review of classical problems is included, the bulk of the book deals with original, unpublished material and new research. The book will be useful for researchers in petroleum engineering and reservoir modelling, for software engineers, for practical reservoir engineers and managers of reservoir studies.

Master the techniques necessary to build and use computational models of porous media fluid flow In The Mathematics of Fluid Flow Through Porous Media, 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. Discussions 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, The Mathematics of Fluid Flow Through Porous Media is an indispensable resource for students who have not previously encountered these concepts and need to master them to conduct computer simulations. Teaching 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: A thorough introduction to the mechanics of fluid flow in porous media, including the kinematics of simple continua, single-continuum balance laws, and constitutive relationships An 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 Practical discussions of solute transport, including the transport equation, hydrodynamic dispersion, one-dimensional transport, and transport with adsorption A treatment of multiphase flows, including capillarity at the micro- and macroscale 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.

Written by some of the world's most renowned petroleum and environmental engineers, Fundamentals of the Petrophysics of Oil and Gas Reservoirs is the first book to offer the practicing engineer and engineering student these new cutting-edge techniques for prediction and forecasting in petroleum engineering and environmental management. In this book, the authors combine a rigorous, yet easy to understand, approach to petrophysics and how it is applied to petroleum and environmental engineering to solve multiple problems that the engineer or geologist faces every day. Useful in the prediction of everything from crude oil composition, pore size distribution in reservoir rocks, groundwater contamination, and other types of forecasting, this approach provides engineers and students alike with a convenient guide to many real-world applications. Petroleum geologists and engineers must have a working knowledge of petrophysics in order to find oil reservoirs and devise the best plan for getting it out of the ground, before drilling can begin. This book offers the engineer and geologist a fundamental guide for accomplishing these goals, providing much-needed calculations and formulas on fluid flow, rock properties, and many other topics that are encountered every day. The approach taken in Fundamentals of the Petrophysics of Oil and Gas Reservoirs is unique and has not been addressed until now in book format. Readers now have the ability to review the historic development of relationships and equations to define critical petrophysics attributes, many of which have either never been covered in the literature on petrophysics. Useful for the veteran engineer or scientist and the student alike, this book is a must-have for any geologist, engineer, or student working in the field of upstream petroleum engineering.

This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. At the beginning of each section, basic solution methods for the corresponding types of differential equations are outlined and specific examples are considered. It presents equations and their applications, including differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. This handbook is an essential reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences.

Challenges and Recent Advances in Sustainable Oil and Gas Recovery and Transportation delivers a critical tool for today's petroleum and reservoir engineers to learn the latest research in EOR and solutions toward more SDG-supported practices. Packed with methods and case studies, the reference starts with the latest advances such as EOR with polymers and EOR with CCS. Advances in shale recovery and methane production are also covered before layering on sustainability methods on critical topics such as oilfield produced water. Supported by a diverse group of contributors, this book gives engineers a go-to source for the future of oil and gas. The oil and gas industry are utilizing enhanced oil recovery (EOR) methods frequently, but the industry is also tasked with making more sustainable decisions in their future operations. - Provides the latest advances in enhanced oil recovery (EOR), including EOR with polymers, EOR with carbon capture and sequestration (CCS), and hybrid EOR approaches - Teaches options in recovery and transport, such as shale recovery and methane production from gas hydrate reservoirs - Includes sustainability methods such as biological souring and oil field produced water solutions