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Critical point theory in global analysis and differential topology

Differential topology. --- Global analysis (Mathematics) --- Critical point theory (Mathematical analysis)

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Phase diagrams --- Phase rule and equilibrium --- Chemistry, Physical and theoretical --- Critical phenomena (Physics) --- Equilibrium --- Chemical equilibrium --- Chemical systems --- Critical point --- Physical metallurgy

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This book on PVT and Phase Behaviour Of Petroleum Reservoir Fluids is volume 47 in the Developments in Petroleum Science series. The chapters in the book are: Phase Behaviour Fundamentals, PVT Tests and Correlations, Phase Equilibria, Equations of State, Phase Behaviour Calculations, Fluid Characterisation, Gas Injection, Interfacial Tension, and Application in Reservoir Simulation.

Oil reservoir engineering. --- Phase rule and equilibrium. --- Chemistry, Physical and theoretical --- Critical phenomena (Physics) --- Equilibrium --- Chemical equilibrium --- Chemical systems --- Critical point --- Petroleum engineering

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In the early 1920's M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology. Circle-valued Morse theory originated from a problem in hydrodynamics studied by S. P. Novikov in the early 1980's. Nowadays, it is a constantly growing field of contemporary mathematics with applications and connections to many geometrical problems such as Arnold's conjecture in the theory of Lagrangian intersections, fibrations of manifolds over the circle, dynamical zeta functions, and the theory of knots and links in the three-dimensional sphere. The aim of the book is to give a systematic treatment of geometric foundations of the subject and recent research results. The book is accessible to first year graduate students specializing in geometry and topology.

Manifolds (Mathematics). --- Mathematics. --- Morse theory. --- Morse theory --- Manifolds (Mathematics) --- Morse, théorie de --- Variétés (Mathématiques) --- Geometry, Differential --- Topology --- Calculus of variations --- Critical point theory (Mathematical analysis) --- Differential geometry.

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Understanding the properties of a reservoir’s fluids and creating a successful model based on lab data and calculation are required for every reservoir engineer in oil and gas today, and with reservoirs becoming more complex, engineers and managers are back to reinforcing the fundamentals. PVT (pressure-volume-temperature) reports are one way to achieve better parameters, and Equations of State and PVT Analysis, second edition, helps engineers to fine tune their reservoir problem-solving skills and achieve better modeling and maximum asset development. Designed for training sessions for new and existing engineers, Equations of State and PVT Analysis, second edition, will prepare reservoir engineers for complex hydrocarbon and natural gas systems with more sophisticated EOS models, correlations and examples from the hottest locations around the world such as the Gulf of Mexico, North Sea and China, and Q&A at the end of each chapter. Resources are maximized with this must-have reference. Improve with new material on practical applications, lab analysis, and real-world sampling from wells to gain better understanding of PVT properties for crude and natural gas; Sharpen your reservoir models with added content on how to tune EOS parameters accurately; Solve more unconventional problems with field examples on phase behavior characteristics of shale and heavy oil.

Reservoir oil pressure. --- Reservoir oil pressure --- Phase rule and equilibrium --- Petroleum --- Mathematical models. --- Underground storage. --- Underground storage --- Chemistry, Physical and theoretical --- Critical phenomena (Physics) --- Equilibrium --- Chemical equilibrium --- Chemical systems --- Critical point --- Formation pressure --- Pressure --- Storage