Fundamentals of the Petrophysics of Oil and Gas Reservoirs Scrivener Publishing 100 Cummings Center, Suite 41J Beverly, MA 01915-6106 Publishers at Scrivener Martin Scrivener ([email protected]) Phillip Carmical ([email protected]) Petrophysics Fundamentals of the Petrophysics of Oil and Gas Reservoirs Leonid Buryakovsky, Ph.D. Russian Academy of Natural Sciences, U.S.A. Section George V. Chilingar, Ph.D. Emeritus Professor of Civil, Environmental and Petroleum Engineering, University of Southern California, Los Angeles, CA Herman H. Rieke, Ph.D. Professor of Petroleum Engineering, University of Louisiana at Lafayette, Lafayette, LA and Sanghee Shin, Ph.D. Research Associate, Rudolf W. Gunnerman, Energy and Environmental Laboratory, University of Southern California, Los Angeles, CA Scrivener ©WILEY Copyright © 2012 by Scrivener Publishing LLC. All rights reserved. Co-published by John Wiley & Sons, Inc. Hoboken, New Jersey, and Scrivener Publishing LLC, Salem, Massachusetts. 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For general information on our other products and services or for technical support, please contact our Customer Care Department within the United States at (800) 762-2974, outside the United States at (317) 572-3993 or fax (317) 572-4002. Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic formats. For more information about Wiley products, visit our web site at www.wiley.com. For more information about Scrivener products please visit www.scrivenerpublishing.com. Cover design by Kris Hackerott. Library of Congress Cataloging-in-Publication Data: ISBN 978-1-118-34447-7 Printed in the United States of America 10 9 8 7 6 5 4 3 21 77ns volume is dedicated to Dr. Chengyu Fu for his important contributions to World Petroleum Industry and World Economy Contents Preface xi List of Contributors xvii Acknowledgement xix 1. Introduction 1 1.1 Characterization of Hydrocarbon Reservoirs 1 1.1.1 Geographical and Geological Background of the South Caspian Basin 5 1.1.2 Sedimentary Features of Productive Horizons in the South Caspian Basin 9 1.1.3 Depositional Environment of Productive Series, Azerbaijan 13 1.2 Reservoir Lithologies 16 1.2.1 Clastic Rocks 16 1.2.2 Pore Throat Distribution in Carbonate Rocks 24 1.2.3 Carbonate Rocks 35 1.2.4 Carbonate versus Sandstone Reservoirs 47 1.2.5 Volcanic/Igneous Rocks 47 1.2.6 Classification of Hydrocarbon Accumulations Based on the Type of Traps 52 2. Characterization of Hydrocarbon Reservoirs 57 2.1 Petrophysical Parameters 57 2.2 Porosity, Void Ratio, and Density 57 2.2.1 Quantitative Evaluation of Porosity in Argillaceous Sediments 63 2.3 Permeability 66 2.3.1 Porosity /Permeability Relationship 73 2.4 Specific Surface Area 79 2.4.1 Derivation of Theoretical Equation Relating Porosity, Permeability, and Surface Area 79 viii CONTENTS 2.4.2 Relationship Between Specific Surface Area (Area Per Unit of Pore Volume) and Permeability of Carbonate Rocks 85 2.4.3 Relationship Between Specific Surface Area and Residual Water Saturation of Carbonate Rocks 85 2.5 Interrelationship Among Prorosity, Permeability, and Specific Surface Area 86 2.5.1 Vuktyl'skiy Gas-Condensate Field, Russia 88 2.5.2 Central Asia 88 2.5.3 Kuybyshev, Along-Volga Region, Russia 89 2.5.4 Orenburg Field, Russia 90 2.6 Wettability - Capillarity 98 2.6.1 Interfacial Tension and Contact Angle 98 2.6.2 Capillary Pressure Curves 107 2.6.3 Compressibility 108 2.7 Elastic Properties 118 2.7.1 Classification of Stresses 119 2.8 Acoustic Properties 123 2.8.1 Borehole Seismic and Well Logging Methods 125 2.8.2 Practical Use of Acoustic Properties of Rocks 126 2.9 Electrical Resistivity 128 2.9.1 Spontaneous Potential 131 2.10 Radioactivity 137 2.10.1 Atomic Structure 138 2.10.2 Radioactivity Logging Applications 145 2.11 Chemistry of Waters in Shales versus those in Sandstones 149 3. Seismic Parameters 151 3.1 Introduction 151 3.2 Elastic Properties 152 3.3 Velocity and Rock Properties 154 3.4 Pore Pressure 159 3.5 Seismic Anisotropy 164 3.5.1 Effective Medium Theories 168 3.5.2 The Effect of Pore Space and Pore Geometry on Moduli 174 3.5.3 Gassmann's Equations 176 3.5.4 Bounding Average Method 178 3.5.5 Küster and Toksöz Theory 179 CONTENTS Historical Review 183 A.l Introduction 183 A.2 Initial Phases of Development 183 A.3 Gus Archie's Equations and the Dawn of Quantitative Petrophysics 195 A.4 Air-Filled Boreholes, Oil-Based Muds, and Induction Logs 197 A.5 World War II Technology Legacy 198 A.6 Cased-Hole Correlation and Natural Gamma Ray Logs 198 A.7 Seismic Velocities, Acoustic Logs, and Jessie Wylie's Time Average Equation 199 A.8 The Manhattan Project and Nuclear Logging 201 A.9 Space Program Technology Legacy 201 A.10 SANDIA Geothermal Log Program and Hardened Microcircuits 202 A.ll Extended-Reach Directional Drilling, Horizontal Wells, Deep Water, Ultra Deep Wells and Measurements While Drilling 203 A.12 Data Acquisition, Data Recording, and Data Transmission Developments 203 A. 13 Log Analysis Developments 206 A.14 Formation True Resistivity, R , Flushed Zone t Resistivity, R , Water Saturation, S , and xo Flushed Zone Saturation, S 210 A. 15 Rat Holes, Bed Resolution, Depth of Investigation, and Laterolog Developments 212 A.16 Air, Mist and Oil-Based Muds: Induction Log Developments 220 A.l7 Departure Curves, Tornado Charts and Inversion 225 A. 18 Acoustic Log - The Accidental Porosity Tool 228 A.19 Neutron Log - The First True Porosity Tool 233 A.20 Density Log - The Porosity Tool that almost did not Make It 237 A.21 Pulsed Neutron Capture Logs - The All Purpose Tool 242 A.22 Through Casing Resistivity Measurements - Well Logging's Holy Grail 245 A.23 Nuclear Magnetic Resonance Log - Patience and Persistence 248 x CONTENTS A.24 S Tool Developments 252 A.25 Dielectric Tool Developments 253 A.26 Dipmeters to Borehole Imaging 256 A.27 Wireline Formation Testers 264 A.28 Shaly Sands 266 A.29 Golden Era and Black Period of Petrophysics 267 A.30 The Future 269 Bibliography 271 Web Pages 278 B. Mechanics of Fluid Flow 279 Β.Ί Fundamental Equation of Fluid Statics 279 B.2 Buoyancy 280 B.3 General Energy Equation 281 B.4 Derivation of Formula for Flow Through Orifice Meter 282 B.5 Compressible Flow Formula 284 B.6 Farshad's Surface Roughness Values and Relative-Roughness Equations 290 B.7 Flow Through Fractures 293 B.8 Permeability of a Fracture-Matrix System 294 B.9 Fluid Flow in Deformable Rock Fractures 294 B.10 Electrokinetic Flow 299 References 301 C. Glossary 303 References 347 Bibliography 349 Subject Index 369 Preface Petrophysics (rock physics) is a branch of applied geology relating to the study of reservoir and caprock properties and their interactions with fluids (gases, hydrocarbons, and aqueous solutions) based on fundamental methods of physics, chemistry, and mathematics. The geologic material forming a reservoir for the accumulation of fluids (oil, gas and water) in the subsurface must contain a three- dimensional network of interconnected voids (pores, vugs and/or fractures) to store the formation fluids and allow their movement within the reservoir during hydrocarbon recovery. Petrophysical applications are widely used in petroleum geology, economic geol- ogy, seismic interpretations, hydrocarbon reserve estimation, reser- voir description and simulation, field development planning, and reservoir production management. The goal of petroleum geology is to perform the exploration and to provide, if a discovery is made of a commercial oil and gas accu- mulation, a geological/geophysical description of the reservoir. This includes preparing an estimate of the initial reserve hydrocar- bon volume. The application of petrophysics in both hydrocarbon exploration and recovery is to minimize financial risk. The goal of economic geology is the study and analysis of geo- logic bodies and materials that can be utilized profitably, including carbon fuels, metals, nonmetallic minerals, and water. The appli- cation of geoscience knowledge and theory is foremost for under- standing of the origin of deposits and, most importantly, how to exploit them. The goal of reservoir engineering is to produce an integrated res- ervoir study in order to support a computer model of the reservoir that can implement the integration of the total reservoir database. The model must include: (1) production forecasts; (2) results of operational consequences based on management decisions, and (3) how to maintain a current reservoir model by using newly-acquired performance and field data. XI