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Book Integrated Modeling of Reservoir Fluid Properties and Multiphase Flow in Offshore Production Systems

Download or read book Integrated Modeling of Reservoir Fluid Properties and Multiphase Flow in Offshore Production Systems written by Tobias R. Gessner and published by Springer Nature. This book was released on 2023-11-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended for practicing engineers in the oil industry, researchers, and graduate students interested in designing and simulating offshore hydrocarbon production systems. It approaches offshore oil production systems from an integrated perspective that combines the modeling of thermophysical properties of reservoir fluids and their flow as a multiphase mixture in wellbores, flow lines, and risers. The first part of the book presents an internally consistent method to compute the critical parameters and acentric factor of Single Carbon Number (SCN) fractions of petroleum mixtures using state-of-the-art multivariate fitting techniques. The procedure is illustrated and validated using flash and differential liberation data from actual field samples. In the second part of the book, mechanistic multiphase flow models are discussed in light of their ability to predict the pressure, temperature, and phase holdup of production fluids in wellbores, flow lines, and risers. Multivariate fitting procedures are again applied to evaluate the sensitivity of the results with respect to closure relationship parameters, such as slug body gas holdup, wall shear stress, and wall roughness in pipelines and production tubing. Finally, the modeling framework is validated using actual field data from offshore production wells.

Book Multiphase Transport of Hydrocarbons in Pipes

Download or read book Multiphase Transport of Hydrocarbons in Pipes written by Juan J. Manzano-Ruiz and published by John Wiley & Sons. This book was released on 2024-03-26 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiphase Transport of Hydrocarbons in Pipes An introduction to multiphase flows in the oil and gas industry The term ‘multiphase flow’ refers to the concurrent flow of oil and/or gas, alongside other substances or materials such as production water, chemical inhibitors, and solids (e.g. sand). This is a critical topic in the oil and gas industry, where the presence of multiple flow phases in pipelines affects deliverability, generates serious complications in predicting flow performance for system design and operation, and requires specific risk mitigation actions and continuous maintenance. Chemical and Mechanical Engineers interested in working in this industry will benefit from understanding the basic theories and practices required to model and operate multiphase flows through pipelines, wells, and other components of the production system. Multiphase Transport of Hydrocarbons in Pipes meets this need with a comprehensive overview of five decades of research into multiphase flow. Incorporating fundamental theories, historic and cutting-edge multiphase flow models, and concrete examples of current and future applications. This book provides a sound technical background for prospective or working engineers in need of understanding this crucial area of industry. Readers will also find: Fundamental principles supporting commercial software Detailed tools for estimating multiphase flow rates through flowlines, wells, and more Integration of conservation principles with thermodynamic and transport properties Coverage of legacy and modern simulation models This book is ideal for flow assurance engineers, facilities engineers, oil and gas production engineers, and process engineers, as well as chemical and mechanical engineering students looking to work in any of these roles.

Book An Introduction to Multiphase  Multicomponent Reservoir Simulation

Download or read book An Introduction to Multiphase Multicomponent Reservoir Simulation written by Matthew Balhoff and published by Elsevier. This book was released on 2022-10-26 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Petroleum Reservoir Simulation is aimed toward graduate students and professionals in the oil and gas industry working in reservoir simulation. It begins with a review of fluid and rock properties and derivation of basic reservoir engineering mass balance equations. Then equations and approaches for numerical reservoir simulation are introduced. The text starts with simple problems (1D, single phase flow in homogeneous reservoirs with constant rate wells) and subsequent chapters slowly add complexities (heterogeneities, nonlinearities, multi-dimensions, multiphase flow, and multicomponent flow). Partial differential equations and finite differences are then introduced but it will be shown that algebraic mass balances can also be written directly on discrete grid blocks that result in the same equations. Many completed examples and figures will be included to improve understanding. An Introduction to Petroleum Reservoir Simulation is designed for those with their first exposure to reservoir simulation, including graduate students in their first simulation course and working professionals who are using reservoir simulators and want to learn more about the basics. Presents basic equations and discretization for multiphase, multicomponent transport in subsurface media in a simple, easy-to-understand manner Features illustrations that explain basic concepts and show comparison to analytical solutions and commercial simulators Includes dozens of completed example problems on a small number of grid blocks Offers pseudocode and exercises to allow the reader to develop their own computer-based numerical simulator that can be verified against analytical solutions and commercial simulators

Book An Introduction to Reservoir Simulation Using MATLAB GNU Octave

Download or read book An Introduction to Reservoir Simulation Using MATLAB GNU Octave written by Knut-Andreas Lie and published by Cambridge University Press. This book was released on 2019-08-08 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents numerical methods for reservoir simulation, with efficient implementation and examples using widely-used online open-source code, for researchers, professionals and advanced students. This title is also available as Open Access on Cambridge Core.

Book Multiphase Fluid Flow in Porous and Fractured Reservoirs

Download or read book Multiphase Fluid Flow in Porous and Fractured Reservoirs written by Yu-Shu Wu and published by Gulf Professional Publishing. This book was released on 2015-09-23 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiphase Fluid Flow in Porous and Fractured Reservoirs discusses the process of modeling fluid flow in petroleum and natural gas reservoirs, a practice that has become increasingly complex thanks to multiple fractures in horizontal drilling and the discovery of more unconventional reservoirs and resources. The book updates the reservoir engineer of today with the latest developments in reservoir simulation by combining a powerhouse of theory, analytical, and numerical methods to create stronger verification and validation modeling methods, ultimately improving recovery in stagnant and complex reservoirs. Going beyond the standard topics in past literature, coverage includes well treatment, Non-Newtonian fluids and rheological models, multiphase fluid coupled with geomechanics in reservoirs, and modeling applications for unconventional petroleum resources. The book equips today’s reservoir engineer and modeler with the most relevant tools and knowledge to establish and solidify stronger oil and gas recovery. Delivers updates on recent developments in reservoir simulation such as modeling approaches for multiphase flow simulation of fractured media and unconventional reservoirs Explains analytical solutions and approaches as well as applications to modeling verification for today’s reservoir problems, such as evaluating saturation and pressure profiles and recovery factors or displacement efficiency Utilize practical codes and programs featured from online companion website

Book Computational Methods for Multiphase Flows in Porous Media

Download or read book Computational Methods for Multiphase Flows in Porous Media written by Zhangxin Chen and published by SIAM. This book was released on 2006-01-01 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods for Multiphase Flows in Porous Media offers a fundamental and practical introduction to the use of computational methods, particularly finite element methods, in the simulation of fluid flows in porous media. It is the first book to cover a wide variety of flows, including single-phase, two-phase, black oil, volatile, compositional, nonisothermal, and chemical compositional flows in both ordinary porous and fractured porous media. In addition, a range of computational methods are used, and benchmark problems of nine comparative solution projects organized by the Society of Petroleum Engineers are presented for the first time in book form. The book reviews multiphase flow equations and computational methods to introduce basic terminologies and notation. A thorough discussion of practical aspects of the subjects is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Audience: this book can be used as a textbook for graduate or advanced undergraduate students in geology, petroleum engineering, and applied mathematics; as a reference book for professionals in these fields, as well as scientists working in the area of petroleum reservoir simulation; as a handbook for employees in the oil industry who need a basic understanding of modeling and computational method concepts; and by researchers in hydrology, environmental remediation, and some areas of biological tissue modeling. Calculus, physics, and some acquaintance with partial differential equations and simple matrix algebra are necessary prerequisites.

Book Unsteady state Fluid Flow

Download or read book Unsteady state Fluid Flow written by E.J. Hoffman and published by Elsevier. This book was released on 1999-07-02 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ubiquitous examples of unsteady-state fluid flow pertain to the production or depletion of oil and gas reservoirs. After introductory information about petroleum-bearing formations and fields, reservoirs, and geologic codes, empirical methods for correlating and predicting unsteady-state behavior are presented. This is followed by a more theoretical presentation based on the classical partial differential equations for flow through porous media.Whereas these equations can be simplified for the flow of (compressible) fluids, and idealized solutions exist in terms of Fourier series for linear flow and Bessel functions for radial flow, the flow of compressible gases requires computer solutions, read approximations. An analysis of computer solutions indicates, fortuitously, that the unsteady-state behavior can be reproduced by steady-state density or pressure profiles at successive times. This will demark draw down and the transition to long-term depletion for reservoirs with closed outer boundaries.As an alternative, unsteady-state flow may be presented in terms of volume and surface integrals, and the methodology is fully developed with examples furnished. Among other things, permeability and reserves can be estimated from well flow tests.The foregoing leads to an examination of boundary conditions and degrees of freedom and raises arguments that the classical partial differential equations of mathematical physics may not be allowable representations. For so-called open petroleum reservoirs where say water-drive exists, the simplifications based on successive steady-state profiles provide a useful means of representation, which is detailed in the form of material balances. Unsteady-State Fluid Flow provides:• empirical and classical methods for correlating and predicting the unsteady-state behavior of petroleum reservoirs• analysis of unsteady-state behavior, both in terms of the classical partial differential equations, and in terms of volume and surface integrals• simplifications based on successive steady-state profiles which permit application to the depletion of both closed reservoirs and open reservoirs, and serves to distinguish drawdown, transition and long-term depletion performance.

Book Multiphase Flow in Porous Media

Download or read book Multiphase Flow in Porous Media written by Myron B. III Allen and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has seen remarkable growth in research related to petroleum reseIVoir simulation. This growth reflects several developments, not the least of which is the increased interest in oil recovery technologies requiring sophisticated engineer ing. Augmenting this interest has been the broader availability of supercomputers capable of handling the tremendous computational demands of a typical reseIVoir simulator. The field of reseIVoir simulation incorporates several major facets of applied mathematics. First, in view of the varieyt and complexity of the processes encoun tered, it is imperative that the modeler adopt a systematic approach to establishing the equations governing reseIVoir flows. Second, the mathematical structure of these flow equations needs to be carefully analyzed in order to develop appropriate and efficient numerical methods for their solution. Third, since some aspects of the discretized flow equations are typically stiff, one must develop efficient schemes for solving large sparse systems of linear equations. This monograph has three parts, each devoted to one of these three aspects of reseIVoir modeling. The text grew out of a set of lectures presented by the authors in the autumn of 1986 at the IBM Scientific Center in Bergen, Norway. We feel that it is only appropriate to caution the reader that many of the ideas that we present in this monograph do not reflect standard approaches in petroleum reseIVoir simulation. In fact, our aim is to outline promising new ways of attacking reseIVoir simulation prob lems, rather than to compile another textbook for the mainstream.

Book Multiphase Equilibria of Complex Reservoir Fluids

Download or read book Multiphase Equilibria of Complex Reservoir Fluids written by Huazhou Li and published by Springer Nature. This book was released on 2021-10-30 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short monograph focuses on the theoretical backgrounds and practical implementations concerning the thermodynamic modeling of multiphase equilibria of complex reservoir fluids using cubic equations of state. It aims to address the increasing needs of multiphase equilibrium calculations that arise in the compositional modeling of multiphase flow in reservoirs and wellbores. It provides a state-of-the-art coverage on the recent improvements of cubic equations of state. Considering that stability test and flash calculation are two basic tasks involved in any multiphase equilibrium calculations, it elaborates on the rigorous mathematical frameworks dedicated to stability test and flash calculation. A special treatment is given to the new algorithms that are recently developed to perform robust and efficient three-phase equilibrium calculations. This monograph will be of value to graduate students who conduct research in the field of phase behavior, as well as software engineers who work on the development of multiphase equilibrium calculation algorithms.

Book Multiphase Production

Download or read book Multiphase Production written by Jean Falcimaigne and published by Editions OPHRYS. This book was released on 2008 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book presents the fundamentals of multiphase production with regard to flow simulations in multiphase pipelines, multiphase pumping and multiphase metering. It gives a large range of information on approaches and technologies which can be used today. It is designed for engineers involved in field development, but also for petroleum engineering students.

Book Semi Analytical Modeling of Fluid Flow in and Formation Evaluation of Unconventional Reservoir Using Boundary Integration Strategies

Download or read book Semi Analytical Modeling of Fluid Flow in and Formation Evaluation of Unconventional Reservoir Using Boundary Integration Strategies written by Chang Su and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tight oil/gas has been increasingly playing a more and more important role in petroleum industry around the globe for the past two decades and accounting for more share of total production of oil/gas each year. Fractured vertical or horizontal wells contribute most of the tight oil/gas production. Understanding and analyzing fluid flow in the process of fracturing, therefore, become crucial in tight formation production. However, the resulting complexity of fracture propagation from fracture injection test in tight formation, which currently is one the most heated topics for unconventional reservoirs, and heterogeneity problems of tight oil/gas reservoir with non-uniform distribution of rock/fluid properties bring great difficulties in modeling of such complex well-reservoir systems so as to evaluate reservoir characteristics and simulate a variety of reservoir flowing behaviours. Using boundary integration strategies and source and sink function methodology, this dissertation tackles the problems of modeling fracture-propagation-and-closure process along with analyzing the fracture injection test data (mini-fracturing test) in homogeneous reservoir, and modeling of fluid flow in different types of heterogeneous reservoirs. In particular, they are: (1) Analytical Modeling of Fracture Propagation on Evaluation of Transient Pressure Behavior during Injection and after Shut-in: Minifrac Test Analysis by Model-Based Type Curves; (2) Modeling of Multi-stage Fractured Horizontal Well Producing in Multilayered Reservoir with Inter-layer Crossflow; (3) Semi-analytical Modeling of 2-Dimensional Heterogeneous Reservoir by Using Boundary Element Method. II What is presented is that a practical fracture-propagation-and-closure process is modeled, its solution in terms of pressure and leak-off rate behaviors in type curve format is generated and the model-based solutions are applied using curve matching strategy in analyzing field mini-fracturing testing data to evaluate the leak-off rate behavior along a fracture, in order to obtain the fracture geometry, attain an instantaneous shut-in pressure (ISIP), extract reservoir flowing capacity (kh) and detect closure pressure Pc. A reasonable set of parameter solutions can be obtained using the model developed in this study due to a proper modeling of the physical process. Robust analytical results on transient pressure behavior under constant rate and rate response under constant bottom pressure are presented in type curve format as well as inter-layer crossflow for the multilayered reservoir system. By applying boundary element method (BEM), pressure- and rate-transient behaviours of reservoir with multi-scale heterogeneities bounded by arbitrarily shaped boundaries/surfaces are also presented.

Book Applied Multiphase Flow in Pipes and Flow Assurance

Download or read book Applied Multiphase Flow in Pipes and Flow Assurance written by Eissa M. Al-Safran and published by . This book was released on 2017 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Multiphase Flow in Pipes and Flow Assurance - Oil and Gas Production delivers the most recent advancements in multiphase flow technology while remaining easy to read and appropriate for undergraduate and graduate petroleum engineering students. Responding to the need for a more up-to-the-minute resource, this highly anticipated new book represents applications on the fundamentals with new material on heat transfer in production systems, flow assurance, transient multiphase flow in pipes and the TUFFP unified model. The complex computation procedure of mechanistic models is simplified through solution flowcharts and several example problems. Containing over 50 solved example problems and 140 homework problems, this new book will equip engineers with the skills necessary to use the latest steady-state simulators available.

Book Multiphase Flow Dynamics 4

Download or read book Multiphase Flow Dynamics 4 written by Nikolay Ivanov Kolev and published by Springer. This book was released on 2011-09-25 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present Volume 4 of the successful monograh package “Multiphase Flow Dynamics”is devoted to selected Chapters of the multiphase fluid dynamics that are important for practical applications but did not find place in the previous volumes. The state of the art of the turbulence modeling in multiphase flows is presented. As introduction, some basics of the single phase boundary layer theory including some important scales and flow oscillation characteristics in pipes and rod bundles are presented. Then the scales characterizing the dispersed flow systems are presented. The description of the turbulence is provided at different level of complexity: simple algebraic models for eddy viscosity, simple algebraic models based on the Boussinesq hypothesis, modification of the boundary layer share due to modification of the bulk turbulence, modification of the boundary layer share due to nucleate boiling. The role of the following forces on the mathematical description of turbulent flows is discussed: the lift force, the lubrication force in the wall boundary layer, and the dispersion force. A pragmatic generalization of the k-eps models for continuous velocity field is proposed containing flows in large volumes and flows in porous structures. A Methods of how to derive source and sinks terms for multiphase k-eps models is presented. A set of 13 single- and two phase benchmarks for verification of k-eps models in system computer codes are provided and reproduced with the IVA computer code as an example of the application of the theory. This methodology is intended to help other engineers and scientists to introduce this technology step-by-step in their own engineering practice. In many practical application gases are solved in liquids under given conditions, released under other conditions and therefore affecting technical processes for good of for bad. Useful information on the solubility of oxygen, nitrogen, hydrogen and carbon dioxide in water under large interval of pressures and temperatures is collected, and appropriate mathematical approximation functions are provided. In addition methods for the computation of the diffusion coefficients are described. With this information solution and dissolution dynamics in multiphase fluid flows can be analyzed. For this purpose the non-equilibrium absorption and release on bubble, droplet and film surfaces under different conditions is mathematically described. A systematic set of internally consistent state equations for diesel fuel gas and liquid valid in broad range of changing pressure and temperature is provided. This new second edition includes various updates, extensions, improvements and corrections. In many practical application gases are solved in liquids under given conditions, released under other conditions and therefore affecting technical processes for good of for bad. Useful information on the solubility of oxygen, nitrogen, hydrogen and carbon dioxide in water under large interval of pressures and temperatures is collected, and appropriate mathematical approximation functions are provided. In addition methods for the computation of the diffusion coefficients are described. With this information solution and dissolution dynamics in multiphase fluid flows can be analyzed. For this purpose the non-equilibrium absorption and release on bubble, droplet and film surfaces under different conditions is mathematically described. A systematic set of internally consistent state equations for diesel fuel gas and liquid valid in broad range of changing pressure and temperature is provided. This new second edition includes various updates, extensions, improvements and corrections.

Book Advanced Petroleum Reservoir Simulation

Download or read book Advanced Petroleum Reservoir Simulation written by M. R. Islam and published by John Wiley & Sons. This book was released on 2010-10-26 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Petroleum Reservoir Simulation Add precision and ease to the process of reservoir simulation. Until simulation software and other methods of reservoir characterization were developed, engineers had to drill numerous wells to find the best way to extract crude oil and natural gas. Today, even with highly sophisticated reservoir simulations software available, reservoir simulation still involves a great deal of guesswork. Advanced Petroleum Reservoir Simulation provides an advanced approach to petroleum reservoir simulation, taking the guesswork out of the process and relying more thoroughly on science and what is known about the individual reservoir. This state of the art publication in petroleum simulation: Describes solution techniques that allow multiple solutions to the complete equations, without linearization. Solves the most difficult reservoir engineering problems such as viscous fingering. Highlights the importance of non-linear solvers on decision tree with scientific argument. Discusses solution schemes in relation to other disciplines and revolutionizes risk analysis and decision making. Includes companion software with 3-D, 3-phase multipurpose simulator code available for download from www.scrivenerpublishing.com. By providing a valuable tool to support reservoir simulation predictions with real science, this book is an essential reference for engineers, scientists and geologists.

Book Petroleum Abstracts  Literature and Patents

Download or read book Petroleum Abstracts Literature and Patents written by and published by . This book was released on 1990 with total page 1416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Turbulent Multiphase Flows with Heat and Mass Transfer

Download or read book Turbulent Multiphase Flows with Heat and Mass Transfer written by Roland Borghi and published by John Wiley & Sons. This book was released on 2013-12-11 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous industrial systems or natural environments involve multiphase flows with heat and mass transfer. The authors of this book present the physical modeling of these flows, in a unified way, which can include various physical aspects and several levels of complexity. Thermal engineering and nuclear reactors; the extraction and transport of petroleum products; diesel and rocket engines; chemical engineering reactors and fluidized beds; smoke or aerosol dispersion; landslides and avalanches − the modeling of multiphase flows with heat and mass transfer for all these situations can be developed following a common methodology. This book is devoted to the description of the mathematical bases of how to incorporate adequate physical ingredients in agreement with known experimental facts and how to make the model evolve according to the required complexity. Contents Part 1. Approach and General Equations 1. Towards a Unified Description of Multiphase Flows. 2. Instant Equations for a Piecewise Continuous Medium. 3. Description of a “Mean Multiphase Medium”. 4. Equations for the Mean Continuous Medium. Part 2. Modeling: A Single Approach Adaptable to Multiple Applications 5. The Modeling of Interphase Exchanges. 6. Modeling Turbulent Dispersion Fluxes. 7. Modeling the Mean Gas–Liquid Interface Area per Unit Volume. 8. “Large Eddy Simulation” Style Models. 9. Contribution of Thermodynamics of Irreversible Processes. 10. Experimental Methods. 11. Some Experimental Results Pertaining to Multiphase Flow Properties that Are Still Little Understood. Part 3. From Fluidized Beds to Granular Media 12. Fluidized Beds. 13. Generalizations for Granular Media. 14. Modeling of Cauchy Tensor of Sliding Contacts. 15. Modeling the Kinetic Cauchy Stress Tensor. Part 4. Studying Fluctuations and Probability Densities 16. Fluctuations of the Gas Phase in Reactive Two-Phase Media. 17. Temperature Fluctuations in Condensed Phases. 18. Study of the PDF for Velocity Fluctuations and Sizes of Parcels. About the Authors Roland Borghi is Professor Emeritus at Ecole Centrale Marseille in France and works as a consultant in the space, petrol and automobile sectors. His research activities cover fluid mechanics, combustion and flames, and multi-phase and granular flows. He was a member of the CNRS scientific committee and a laureate of the French Academy of Science. Fabien Anselmet is Professor at Ecole Centrale Marseille in France. His research activities focus on the turbulence of fluids and its varied applications in industry and in fields linked to the environment. With a unified, didactic style, this text presents tangible models of multiphase flows with heat and mass transfer with attention to various levels of complexities. It addresses thermal engineering and nuclear reactors, extraction and transport of petroleum products, diesel engines and rocket engines, chemical engineering reactors and fluidized beds, smoke or aerosol dispersion, and landslides and avalanches. Engineers, researchers, and scientists will appreciate the discussions of modeling principles, flows and granular media, and fluctuations around averages.

Book Multiphase Flow in Oil and Gas Production Wells and Pipelines

Download or read book Multiphase Flow in Oil and Gas Production Wells and Pipelines written by Andrew Joseph and published by . This book was released on 2015-05-14 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extensively research book assembles a tremendous amount of practical information on Multi-phase flow in oil and gas production wells and pipelines. The book summarizes those fundamental concepts with relevance to a broad spectrum of multiphase flows. This book is organized as follows.Chapter 2 gives an overview of multiphase flows looking at the flow regimes that are generally used, trends in multiphase flow modelling. Chapter 3 gives a detailed overview of the physical model of wellbore flow used. The concept of drift flux is briefly discussed. Methods used to the solve model equations numerically are discussed in Chapter 4. It is shown that the traditional central schemes are unable to capture properly the physics of the flow. For the complex flow systems, which include several non-linear coupled differential equations, a new computation algorithm is proposed. First, a Jacobian splitting must be applied accounting for different directions of the propagation of information. In Chapter 5 an assessment is performed of the impact of the chosen time-integration scheme on results of data assimilation based on the extended Kalman filter approach and also discusses the use of the implicit Euler scheme. Chapter 6 starts from analysis of the transient pressure signal generated in the wellbore due to inflow from the reservoir. The possibilities of indirect multiphase flow metering are then discussed. Finally, the method, which was limited to a rapid inflow scenario, is extended in Chapter 7 to a gas coning control application, in which the relevant quantities are estimated from multiple pressure measurements and single multiphase flow measurement at the outflow. The performance of both techniques proposed is evaluated using a series of simulation based test cases and measurements generated by the OLGA simulator. This book is targeted at final year students, graduate students and researchers at the cutting edge of investigations into the fundamental nature of multiphase flows; it is intended as a reference book for the basic methods used in the treatment of multiphase flows.