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Principles of Mineral Processing Edited by Maurice C. Fuerstenau and Kenneth N. Han Published by the Exploration, Inc. Society for Mining, Metallurgy, and Exploration, Inc. (SME) 8307 Shaffer Parkway Littleton, Colorado, USA 80127 (303) 973-9550 / (800) 763-3132 www.smenet.org SME advances the worldwide mining and minerals community through information exchange and professional development. SME is the largest association of minerals professionals. Copyright (cid:164) 2003 Society for Mining, Metallurgy, and Exploration, Inc. All Rights Reserved. Printed in the United States of America. Information contained in this work has been obtained by SME, Inc. from sources believed to be reliable. However, neither SME nor its authors guarantee the accuracy or completeness of any information published herein, and neither SME nor its authors shall be responsible for any errors, omissions, or damages arising out of use of this information. This work is published with the under- standing that SME and its authors are supplying information but are not attempting to render engineering or other professional services. If such services are required, the assistance of an appropriate professional should be sought. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Any statement or views presented here are those of the author and are not necessarily those of SME. The mention of trade names for commercial products does not imply the approval or endorsement of SME. ISBN 0-87335-167-3 Library of Congress Cataloging-in-Publication Data. Principles of mineral processing / [edited by] Maurice C. Fuerstenau p. cm. Includes bibilographical references and index. ISBN 0-87335-167-3 1. Ore dressing. 2. Hydrometallurgy. I. Fuerstenau, Maurice C. TN500.P66 2003 622'.7--dc21 2002042938 . . . . . . . . . . . . . . Preface The world is faced with opportunities and challenges that require ever-increasing amounts of raw materials to fuel various industrial sectors, and, at the same time, meet environmental constraints asso- ciated with excavating and processing these raw materials. In addition, gradual depletion of mineral resources and the necessity of handling more complex forms of resources, primary and secondary, have led to challenges in the development of state-of-the-art technologies that are metallurgically efficient and environmentally friendly. Unquestionably, technology advances are the key to sustaining a suffi- cient supply of necessary raw materials. To advance the technology in the production of material resources, nations look to practicing and future engineers. Current and future mineral processing engineers must obtain sound and rigorous training in the sciences and technologies that are essential for effective resource development. Many industrial and academic leaders have recognized the need for more textbooks and references in this important area. This was the driving force for writing a comprehensive reference book that covers mineral processing and hydrometallurgical extraction. This book was written first to serve students who are studying mineral processing and hydro- metallurgy under various titles. We also hope that the book will serve as a valuable reference to many industrial practitioners in the mineral processing field. In the chapters that follow, you will find first principles that govern various unit operations in mineral processing and hydrometallurgy, along with examples to illustrate how fundamental principles can be used in real-world applications. In general, the volume covers topics in the order of the usual processing sequence. Comminution, the breakage of rocks and other materials, is covered in such a way that the fundamental principles can be used not only in mineral processing but also in other relevant areas such as chemical engineering and pharmaceutical fields. Understanding the characteristics of particles and the separation of particulate materials from one another is of ultimate importance. Separation technologies based on properties such as magne- tism, electrical properties, and surface properties of various minerals are present along with industrial examples. Because most mineral processing unit operations take place in water as a medium, understand- ing how solids can best be separated from water is of industrial importance. Efficiently using water during effective solid–liquid separation is often vital to the success of the overall mineral beneficiation operation. With computer application technologies continuing to emerge rapidly, the mineral industry has made tremendous advances in its industrial production. Plant automation and control often play a vital role in the overall success of the plant operation. The chapter on comminution covers some of these innovations in automation. ix Once desired minerals are recovered from the undesired portion of an ore deposit, chemical treat- ment to unlock the desired metal elements from various minerals is necessary. Hydrometallurgical treatment for the chemical release of metal elements from various minerals is presented along with fundamental water chemistry and kinetic principles. We are fortunate that many world-class authorities in various areas of mineral processing have joined this endeavor, and we thank them for their participation. We would also like to take this oppor- tunity to thank the staff of the Society for Mining, Metallurgy, and Exploration, Inc., for their support in producing this book. x . . . . . . . . . . . . . . Contents LIST OF AUTHORS vii PREFACE ix CHAPTER 1 INTRODUCTION 1 Maurice C. Fuerstenau and Kenneth N. Han Goals and Basics of Mineral Processing 1 Metallurgical Efficiency 1 Economic Concerns 3 Unit Operations 4 Examples of Mineral Processing Operations 5 Environmental Consequences of Mineral Processing 8 CHAPTER 2 PARTICLE CHARACTERIZATION 9 Richard Hogg Particle Characteristics 9 Mathematical Treatment of Particle Distributions 14 Measurement of Particle Characteristics 29 Comparison and Interconversion of Particle Size Data 53 Appendix 2.1: Moment Determination and Quantity Transformation from Experimental Data 54 Appendix 2.2: Combination of Sieve and Subsieve Size Data 54 CHAPTER 3 SIZE REDUCTION AND LIBERATION 61 John A. Herbst, Yi Chang Lo, and Brian Flintoff Introduction 61 Fundamentals of Particle Breakage 63 Comminution Equipment 79 Comminution Circuits 94 Process Control in Comminution 100 Financial Aspects of Comminution 113 Symbol Glossary 115 CHAPTER 4 SIZE SEPARATION 119 Andrew L. Mular Introduction 119 Laboratory Size Separation 121 Sedimentation Sizing Methods 127 iii Industrial Screening 129 Size Classification 148 CHAPTER 5 MOVEMENT OF SOLIDS IN LIQUIDS 173 Kenneth N. Han Introduction 173 Dynamic Similarity 173 Free Settling 174 Particle Acceleration 179 Particle Shape 181 Hindered Settling 183 CHAPTER 6 GRAVITY CONCENTRATION 185 Frank F. Aplan Introduction 185 The Basics of Gravity Separation 188 Float–Sink Separation 195 Jigs 202 Flowing Film Concentrators, Sluices, and Shaking Tables 206 Centrifugal Devices 212 Pneumatic Devices 212 Process Selection and Evaluation 214 CHAPTER 7 MAGNETIC AND ELECTROSTATIC SEPARATION 221 Partha Venkatraman, Frank S. Knoll, and James E. Lawver Introduction 221 Review of Magnetic Theory 221 Conventional Magnets 228 Permanent Magnets 232 Superconducting Magnets 236 Electrostatic Separation 239 CHAPTER 8 FLOTATION 245 Maurice C. Fuerstenau and Ponisseril Somasundaran Surface Phenomena 245 Flotation Reagents 252 Chemistry of Flotation 259 Flotation Machines 292 Column Flotation 296 Flotation Circuits 299 CHAPTER 9 LIQUID–SOLID SEPARATION 307 Donald A. Dahlstrom Introduction 307 Major Influences on Liquid–Solid Separation 309 Liquid–Solid Separation Equipment 317 Gravitational Sedimentation 317 Filtration 322 Basic Guidelines for Application 334 iv Gravity Sedimentation Applications 336 Continuous Vacuum Filtration 346 Batch Pressure Filters 357 CHAPTER 10 METALLURGICAL BALANCES AND EFFICIENCY 363 J. Mark Richardson and Robert D. Morrison Terminology 363 Applications 366 Types of Balances 368 Calculation Methods 376 Data 385 CHAPTER 11 BULK SOLIDS HANDLING 391 Hendrik Colijn Theory of Solids Flow 391 Design of Storage Silos and Hoppers 393 Feeders 397 Mechanical Conveying Systems 402 Pneumatic Conveying Systems 407 Instrumentation and Control 408 CHAPTER 12 HYDROMETALLURGY AND SOLUTION KINETICS 413 Kenneth N. Han and Maurice C. Fuerstenau Introduction 413 Solution Chemistry 414 Electrochemistry 434 Reaction Kinetics 442 Shrinking Core Models 454 Reactor Design 462 Recovery of Metal Ions from Leach Liquor 479 CHAPTER 13 MINERAL PROCESSING WASTES AND THEIR REMEDIATION 491 Ross W. Smith and Stoyan N. Groudev Liquid Wastes 491 Contaminated Soils 503 Solids Disposal and Long-term Management of Tailings Impoundments 509 CHAPTER 14 ECONOMICS OF THE MINERALS INDUSTRY 517 Matthew J. Hrebar and Donald W. Gentry Supply-Demand Relationships 517 Distinctive Features of the Minerals Industry 520 Mineral Project Evaluation 522 INDEX 561 v . . . . . . . . . . . . . . CHAPTER 1 Introduction Maurice C. Fuerstenau and Kenneth N. Han The term mineral processing is used in a broad sense throughout this book to analyze and describe the unit operations involved in upgrading and recovering minerals or metals from ores. The field of mineral processing is based on many fields of science and engineering. Humanities and social science have also become an integral part of this technology because mineral processing, like many other technologies, is carried out to improve human welfare. In addition, environmental science and engineering have become inseparable components; the steps involved in mineral processing have to be founded not only on sound scientific and technological bases but on environmentally acceptable grounds as well. GOALS AND BASICS OF MINERAL PROCESSING In the traditional sense, mineral processing is regarded as the processing of ores or other materials to yield concentrated products. Most of the processes involve physical concentration procedures during which the chemical nature of the mineral(s) in question does not change. In hydrometallurgical processing, however, chemical reactions invariably occur; these systems are operated at ambient or elevated temperatures depending on the kinetics of the processes. The ultimate goal in the production of metals is to yield metals in their purest form. Mineral processing plays an integral part in achieving this objective. Figure 1.1 shows a generalized flow diagram for metals extraction from mining (step 1) through chemical processing. Steps 2 and 3 involve physical processing and steps 5 and 7 involve low-temperature chemical processing (hydrometallurgy). All four steps are considered part of mineral processing. High-temperature smelting and refining (pyro- metallurgy), steps 4 and 6, are not included under the heading of mineral processing. Table 1.1 specifies processing routes from ore to pure metal for a number of metals. Note that processing routes can be quite different and that more than one route may be possible for many of these metals. For example, in the extraction of copper or gold from low-grade ores, dump or heap leaching is commonly practiced. The choice of this leaching practice is frequently driven by the overall economics of the operation. Because crushing and grinding of ores are quite expensive, leaching of ores in large sizes is attractive compared to the leaching of finely ground ores, even though the overall recovery of metals from the leaching of fine particles is, in general, much greater than that obtained with large particles. The introduction of this innovative leaching process has made feasible the mining of many mineral deposits that could not be processed economically through conventional technologies. METALLURGICAL EFFICIENCY One of the most important and basic concepts in mineral processing is metallurgical efficiency. Two terms are commonly used to describe the efficiency of metallurgical processes: recovery and grade. These phenomena are illustrated in the generalized process presented in Figure 1.2. In this example, 100 tph of ore are being fed into a concentration operation that produces 4.5 tph of concentrate and 1 2 | PRINCIPLES OF MINERAL PROCESSING FIGURE 1.1 Generalized flowchart of extraction of metals TABLE 1.1 Processing sequence(s) for a number of selected metals Steps Involved in the Processing Route (see Figure 1.1) Metal Associated Major Minerals 1 2 3 4 5 6 7 8 Iron Hematite, Fe2O3; magnetite, Fe3O4 x x x x x x Aluminum Gibbsite, Al2O3-3H2O; diaspore, Al22O3×H2O x x x x x Copper Chalcopyrite, CuFeS2; chalcocite, Cu2S x x x x x x x Zinc Sphalerite, ZnS x x x x x x x x x x x x x Lead Galena, PbS x x x x x x Gold Native gold, Au x x x x x x x x* x x x Platinum Native platinum, Pt; platinum sulfides x x x x x x Silver Native silver, Ag x x x x x x *Only crushing is practices; grinding is usually omitted. INTRODUCTION | 3 FIGURE 1.2 A simple material balance for a unit operation TABLE 1.2 U.S. total and recycled supply of selected metals in 1996 Total Supply, Recycled Supply, Metal million t metal content million t metal content % Recycled Iron and steel 183 72 39 Aluminum 8.34 3.29 39 Copper 3.70 1.30 35.1 Lead 1.63 1.09 66.8 Zinc 1.45 0.379 26.1 Chromium 0.48 0.098 20.5 Magnesium 0.205 0.0709 35 Gold 516 t* 150 t* 29 Source: U.S. Bureau of Mines (1997). *Value for 1995. 95.5 tph of tailings. In upgrading this process, then, 1.0 tph of the desired material, A, is introduced into the unit operation and 0.9 tph (4.5 × 0.2) of this material reports to the concentrate, resulting in 90% recovery (0.9/1.0 × 100). The grade of the mineral, A, has been improved from 1% to 20%. The term percent recovery refers to the percentage of the valuable material reporting to the concentrate with reference to the amount of this material in the feed. Note that obtaining the highest possible recovery is not necessarily the best approach in a concentration process. High recovery without acceptable grade will lead to an unsalable product and is therefore unsatisfactory. Mineral processing engineers are responsible for optimizing processes to yield the highest possible recovery with acceptable purity (grade) for the buyers or engineers who will treat this concentrate further to extract the metal values. To achieve this goal, economic assessments of all possible techno- logical alternatives must be conducted. ECONOMIC CONCERNS Table 1.2 summarizes the total U.S. supply and recycled supply of selected metals in 1996. The total supply of iron and steel includes supply from primary and secondary sources as well as imports; these two metals represent by far the largest of commodities produced and consumed, followed by aluminum, copper, and lead. Note that the recycled supply of these metals from processing scrap is strikingly high. In addition, the tonnage of precious metals consumed is rather small. However, because of the high prices of precious metals, their monetary value is substantial. For example, the monetary value of 516 t of gold was $12.8 billion in 1996, compared to $10.7 billion for 5.3 million t of copper and lead.

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