A class of discretization methods for structured and unstructured grids in anisotropic, inhomogeneous media. Parallel finite volume computation on general meshes. Comparing advanced discretization methods for complex hydrocarbon reservoirs. Development of finite difference explicit and implicit numerical. Reservoir simulation archives petroleum engineering student.
Reservoir discretization means that the reservoir is described by a set of gridblocks or gridpoints whose properties, dimensions, boundaries, and locations in the reservoir are well defined. Reservoir simulation has a key role in the development and management of this activity. Petroleum reservoir simulation, second edition, introduces this novel engineering approach for petroleum reservoir modeling and operations simulations. This book presents a systematic methodology for the development of parallel multiphysics models and its employment in geophysical and biomedical applications and demonstrates how the methodology can be applied to overcome topical geophysical and biomedical challenges. The pressure is treated in a finiteelement manner, while the mobility terms are upstream weighted in the. Pdf advanced numerical techniques for improving reservoir. A generalized finite volume discretization method for reservoir simulation. Module containing all the scripts used for the examples, exercises, and figures in the book an introduction to reservoir simulation using matlab by knutandreas lie. Commercial simulators will be introduced and a number of examples will be solved. Updated with new exercises, a new glossary and a new chapter on how to create the data to run a simulation, this comprehensive reference presents stepbystep numerical procedures in an easy to understand format. The initial reservoir pressure is 6500 psia and reservoir temperature is set to 2 o f. Advanced discretization methods for flow simulation using.
The accompanying lecture presumes that the reader possesses profound knowledge of reservoir engineering. Resassure the worlds fastest reservoir simulator a. Click download or read online button to get coupled geomechanical reservoir simulation book now. Chapter 4 deals with reservoirs discretized using a blockcentered grid and chapter 5 discusses reservoirs discretized using a pointdistributed grid. A musthave handbook for anyone involved in reservoir simulation, reservoir simulation will help the reader decide when and how to use simulation for forecasting performance. Cheng encyclopedia of life support systems eolss a one dimensional grid system b two dimensional grid system c three dimensional grid system nx figure 2. Practical topics in reservoir simulation reservoir. The task is to achieve profound understanding rather than to write a manual or a. Major steps involved in the development of a reservoir simulator. In this chapter we discuss some practical topics that must be addressed at certain stages in petroleum reservoir simulation, no matter which discretization methods are used. An energy center of excellence university of tulsa. Upscaling and discretization errors in reservoir simulation. Discretization and gridding in reservoir simulation.
A controlvolume, finiteelement method for local mesh. Tpg4160 reservoir simulation 2018 lecture note 1 norwegian university of science and technology professor jon kleppe department of petroleum engineering and applied geophysics 8. Management of subsurface resources, including water aquifers and oilgas reservoirs relies on numerical reservoir simulation. Reservoir simulation is an area of reservoir engineering in which computer models are used to predict the flow of fluids typically, oil, water, and gas through porous media under the model in the broad scientific sense of the word, they understand a real or mentally created structure that reproduces or reflects the object being studied. Pdf hybrid mixed mimetic discretization scheme for reservoir. Tpg4160 reservoir simulation 2017professor jon kleppe. Applications to single, two and threephase transport will be provided.
Appendices discuss handcalculation methods that can be used to check simulation answers, the mathematics of simulation, and regression techniques useful in the history of. Mrstad an opensource framework for rapid prototyping and evaluation of reservoir simulation problems. Numerical reservoir simulation university of calgary in. An embedded fracture modeling framework for simulation of. Reservoir simulation is the means by which one uses a numerical model of the geological and petrophysical characteristics of a hydrocarbon reservoir to analyze and predict fluid behavior in the. Pdf on jan 1, 2019, ahmad abushaikha and others published hybrid mixed mimetic discretization scheme for reservoir simulation find. The model could be a scaled physical model examined in a laboratory, or mathematical. Fully implicit mixedhybrid finiteelement discretization for general. The major steps in areservoir simulation study are sketched in fig. The number of grid blocks in a simulation model is generally much smaller than the number of the grid blocks in. Discretization methods of converting the equations to algebraic will be covered followed by discussions of assembly of computer programs. Numerical modeling of flow and transport in subsurface geological formations, such as oil and gas reservoirs, is referred to as reservoir simulation aziz and settari. In order to discretize the differential equations modeling the flow, the.
Unsubscribe from pge 323m reservoir engineering iii simulation. Reservoir simulation is a process for predicting the behavior of a real reservoir from the analysis of a model of that reservoir. In the efm discretization, conservation of mass is enforced as fluid is exchanged between the two domains through the application of physicsderived coupling terms that appear as source terms in the continuity equations. Ppt introduction to reservoir simulation ekine etuge. The reservoir storage capacity must be the same volumetric unit as q and the target release. However, it is usually not realistic to directly apply discrete fracture models to simulate field scale.
Reservoir simulation learning objectives chapter 2 basic concepts in reservoir engineering petroengstudent july 27, 2015 0 be familiar with the meaning and use of all the usual terms which appear in reservoir engineering such as, s w, s o, b o. It can be simply considered as the process of mimicking the behavior of fluid flow in a. However, this text book is written for petroleum engineers and not for scientists. Any upscaling causes a loss in detail and introduces. Reservoir simulation is an area of reservoir engineering that, combining physics, mathematics, and computer programming to a reservoir model allows the analysis and the prediction of the fluid behavior in the reservoir over time.
Storage discretization the number of equallysized storage states. The subsurface flow in fractured reservoirs is strongly affected by the distribution of fracture networks. The number of grid blocks in a simulation model is generally much smaller than the number of the grid blocks in the geological model. Coupled geomechanical reservoir simulation download. Introduction to reservoir simulation analytical and. Paper 173317ms presented at the 2015 reservoir simulation symposium, houston, texas, usa, 2325 february 2015.
Willigers 2009, on the other hand, recommends the use of discretization instead of mc in an effort to reduce the number of computations and speed the analysis of asset portfolios. Resassure easily computes 1 million realisations within a 24 hour period, a fraction of the time it currently takes with traditional methods and software. Numerical reservoir simulation can be defined as the the process of constructing and running a model that mimic the appearance and flow dynamics of an actual reservoir system, including the subsurface porous and permeable reservoir and its other physical components to produce wellbore and process the reservoir fluids surface facilities. A producer well is located in the middle of the model and production is constrained by a minimum flowing bottomhole pressure of psia. We present a new family of flux continuous, locally conservative, finite volume schemes applicable to the diagonal and full tensor pressure equations with generally discontinuous coefficients. This site is like a library, use search box in the widget to get ebook that you want.
A common requirement in reservoir simulation is an increased level of detail around an item of interest such as a well. Discrete fracture models, which represent all fractures individually by unstructured grid systems, are thus developed and act as a more accurate way for fractured reservoir simulation. In spe reservoir characterisation and simulation conference and. A moderate level in applied mathematics and computer application will also be expected. The authors clarify the underlying mathematics and physics behind reservoir simulation and makes it easy to have a range of simulation results along with their respective probability.
For a uniformly constant symmetric elliptic tensor field, the full tensor discretization is second order accurate with a symmetric positive definite matrix. Reservoir simulation models are used as an everyday tool for reservoir management. Petroleum engineering upstream reservoir simulation y. Numerical reservoir simulator for modelling single phase flow in porous media. Effective localglobal upscaling of fractured reservoirs. This book helps the engineer or geologist use the right engineering equations and scientific methods to cut down on mistakes and boost the accuracy of simulations. Fundamentals of numericl reservoir simulation book. It can be used to forecast the production behavior of oil and gas fields, optimize reservoir development schemes, and evaluate the distribution of remaining oil through history matching, for example. Pdf mathematical models for oil reservoir simulation.
A generalized finite volume discretization method for reservoir. The tools of reservoir simulation range from the intuition and judgment of the engineer to. Ahmed 2006, reservoir engineering handbook, society. This is frequently obtained in structured grids by local grid refinement, replacing a set of cells in the original grid by a finer grid fig. Finally, no other book provides readers complete access to the 3d, 3phase reservoir simulation software that is available with this text. A control volume approach to the discretization of the. However, it is usually not realistic to directly apply discrete fracture models to. The geological model is therefore regularly upscaled for building reasonably sized simulation models. Cbmsnsf regional conference series in applied mathematics. Diffusivity equation, numerical reservoir simulation, finite difference, discretization, transmissibility coefficient, impest method, production term. Finite volume discretization with imposed flux continuity. The book adds transparency and ease to the process of reservoir simulation in way never witnessed before.
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