Modern reservoir flow and well transient analysis

Modern reservoir flow and well transient analysis

students. book. The reviewers strongly G.V. Chilingarian SSDZ 0920-4 recommend this and A.E. Gurevich (Los Angeles, Calif.) 105(95)00059-3 M...

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students. book.

The

reviewers

strongly

G.V. Chilingarian

SSDZ 0920-4

recommend

this

and A.E. Gurevich (Los Angeles, Calif.)

105(95)00059-3

Modern Reservoir Flow and Well Transient Analysis, by Wilson C. Chin. Gulf Publishing Co., Houston, Tex., 1993, 384 pp., $ 79.00, ISBN O-8841 5085-2 (hardcover) As the author of this textbook formulates himself: “The overall aim... is a coherent, readable, and understandable account of modern methods for reservoir flow analysis: a self-contained exposition requiring no more than undergraduate preparation, that also offers state-of-the-art applications formulas and software of immediate practical interest. The presentation style is aimed at developing a student capable of critically evaluating and understanding existing, sometimes not-so-rigorous techniques in flow simulation.” The reviewers would add to this an extremely important feature, namely, that mathematics, physics and common sense walk hand-in-hand in this book, an excellent introductory textbook on the applied mathematics of reservoir engineering. The narration begins with the basic equations of fluid flow and their closed exact steady solutions, and ends with an analysis of subtleties of reservoir flow numerical simulations. Emphasizing that “brute force” numerical solutions are not always necessary and many useful analytical solutions can be obtained from, for example, aerospace industry, the author complements equations and approaches for aerodynamics and theoretical elasticity. All material is organized in three parts subdivided into fifteen chapters developing mathematical ideas step by step. Part I (Exact Steady Solutions Using Analytical Methods) begins with the introductory Chapter 1, Motivating Ideas and Governing Equations, where the author formulates general approaches to the subject and presents basic flow equations. Chapter 2, Fracture Flow Analysis, concentrates on analytical solutions for incompressible and compressible fluid flow and pressure distribution in fractures. Chapter 3, Flows past Shaly Bodies, pre-

sents cases of fluid flow along straight and curved impermeable shaly boundaries. Chapter 4, More Tools: Streamline Tracing and Complex Variables, systematically develops and generalizes the idea of streamfunction, introduces complex variables, and demonstrates, in a non-sophisticated way, certain dualities between pressure and streamfunction. Chapter 5, Flows in Complicated Geometries, explains methods of conformal mapping and presents transformation techniques developed by airplane designers and mostly unknown to the petroleum reservoir engineer. Basic elements of conformal mapping are explained; new transformation methods are applied to Darcy flow past complicated geometries; and simple, easy-to-understand recipes for constructing more analytical solutions are given in this chapter. Part II (Numerical Methods and Pseudo-Analytical Solutions) continue the analysis of previous chapters in the “numerical” area. Chapter 6, Rudial Flow Analysis, considers single-phase radial flow in much greater details than in most textbooks. Kinds of analytical formulations in various physical limits. for different types of liquids and gases are examined from the viewpoint of time and cost effective solutions. Numerical finite difference methods for steady and transient flows are introduced in a natural “hands on” way in Chapter 7, Finite Difference Methods for Planar Flows. This subject is analyzed in its application to problems of steady planar flow in reservoir. The applications of these methods to some reservoir situations are demonstrated. Chapter 8, Curt,ilinear Coordinates and Numerical Grid Generation, presents general considerations for selection of coordinate system type and generation of a grid in cases of flow in reservoirs with irregular boundaries and heterogeneities where numerical models are the only way out. Chapter 9, Steady State Reservoir Applications, deals with transformation of the governing Darcy equations for transient compressible liquid and gas flow to curvilinear coordinates. Different kinds of grids for different reservoirs and gas compressibility type are presented. In Chapter 10 Trunsient Compressible Flows: Numerical Well Test Sinmethods is ulation, “alternating-direction-implicit” described and applied to two-dimensional, singlewell, planar reservoir flows fitted with boundaryconforming curvilinear meshes. Also 3-D flows are briefly considered.

Book reuiews

Part III (Deterministic Flow Modeling and Exact Problem Formulation) discusses some special topics. In Chapter 1 I, Effective Properties in Single and Multiphase Flows, subtleties of this subject are shown on several examples of flow through a combination of two linear cores to help the reader to avoid some of the pitfalls that are likely to be encountered by reservoir engineer. In Chapter 12, Modeling Stochastic Heterogeneity, the author presents efficient models for the simulation of the fluid flow in some types of reservoirs with periodic or quasiperiodic heterogeneity. using approaches from heat transfer and structural mechanics. Chapter 13, Real and Artificial ViscosiQ, concentrates on the models of fluid flow with capillary pressure accounted for, these models received by using approaches and solutions from gas dynamics, plasma physics and water waves. Chapter 14, Borehole Flow Inrasion, Lost Circulation, and Time Lupse Logging. deals with infiltration of drilling mud into formation and formation of the mudcake and with interpretation of repeated loggings and presents some solutions for determination of porosity and pressure. The final Chapter 15, Modern Simulator Dellelopment Objectives, is devoted to basic aspects and problems of creating an efficient and reliable simulator. This is a short analytical review of all aspects of the simulator construction: ways to describe reservoir and fluid properties, formulation of a boundary problem and selection of a right grid configuration and proper numerical procedure, etc. The material in this book is presented in a clear, easily understandable language. Some sections may have needed more detailed explanation: for example, it would have been useful to give clear definition of the artificial viscosity for a student reader. Every topic is supplied with specific examples, that help to demonstrate certain elements of the theory. Chapters 6, 7. 9, 10 and 15 are supplied with computer programs and results of computer simulations. In every subject, the author leads the reader from basic physical considerations to formulation of corresponding mathematical models to the simplest and efficient solutions. All the subtleties of this process are clearly revealed and emphasized. This book allows the reader to develop a proper understanding of applied mathematics is this area that can be a strong basis for a high-class professional activity of a reservoir engineer. Although it is not an easy reading,

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having this book is a must for every reservoir engineer especially for those who have to make decisions as to what simulating software to choose for a particular reservoir and situation. A.E. Gurevich and G.V. Chilingarian (Los Angeles, Calif.) SSDI 0920-4

10.5(95)00033-X

Well Test Analysis, by M.A. Sabet. Gulf Publishing Co., Houston, Tex., 199 1, 460 pp., $79.00, ISBN o-87201 -584-X (hardcover) This book has grown from a five-day course Dr. Sabet presented repeatedly in many countries of the world. The material covered is applicable both to petroleum engineering and geology, groundwater hydrogeology, and toxic waste disposal. This book provides a deep understanding of well-test theories. mathematics and methods. The material of the book is organized in eleven chapters which follow a logical sequence. Chapters 1 to 3, Fundamentals oj’ Drawdown Testing, Fundamentals of Pressure Buildup Testing and Fundamentals of Multirate Flow Testing, explain the basics of hydrodynamics of well test and well-test analysis. This material provides a clear understanding of the process and its mathematical description and makes a solid basis for the chapters to follow. Chapter 4, Wellbore Effects, describes effects of storage, hydraulically induced fractures, incomplete perforation, and others together with the corresponding types of well-test curves. Chapter 5, Gus Well Testing, shows specificity of well tests for highlycompressible fluid saturating reservoirs of different permeability. Chapters 6 and 7. Testing of Naturully Fractured Reservoirs and Testing of Layered Reservoirs, present particularities of testing and test analyses of these two extreme types of reservoir and various flow and pressure buildup models currently used. Chapter 8. Interference and Pulse Testing, is devoted to the interpretation of test data with skin effect and storage effect taken into account. Chapter 9, Drill Stem, Closed Chamber, and Slug Testing, describes specific features of these tests emphasizing both their similarities and differences.