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By M. Gershon

The article is an excellent one, providing a basis for the conduct of the major tasks in underground mine planning and scheduling. I object to only one word. Since that word is featured in the title, it is a strong objection. The word used erroneously is optimization. There is no optimization performed in the article. By definition, an optimization is an approach that yields the best of all possible solutions. We can limit this definition to its narrowest sense, the optimization techniques of operations research such as linear programming, or broaden it to include less sophisticated search procedures that find the best mine plan or schedule. No such claim is made in the article. No optimization of any kind is performed. The major tool used is a simulation, which, in truth, is probably more appropriate for this problem than any optimization. But simulation does not optimize. It only allows for quick evaluation of many options, leading to the selection of the best plan "of those tried," not "of all possible plans." This article, of course, is not the first mining paper to make this error. It seems that the word optimization is used more to impress people than to refer to any act of optimizing. It is used in a way that implies "try to optimize" or "come close to optimize," but not to really do it. It is usually appropriate to quietly ignore this error. But when Dr. Chatterjee, who has done so much good work in true optimization projects and whose work I have come to admire, makes such an error, it is time to publicly dispute it. Having discussed this very point with him in the past, I am sure that he will agree. If he can support this position in his response, perhaps people will start to listen and we can reduce the number of false claims of optimization. This should be easy for him in this case since the approach he used, simulation, is the more appropriate one anyway.

Jan 1, 1987

By G. Johnston, P. K. Chatterjee, S. Holguin

M. Gershon The article is an excellent one, providing a basis for the conduct of the major tasks in underground mine planning and scheduling. I object to only one word. Since that word is featured in the title, it is a strong objection. The word used erroneously is optimization. There is no optimization performed in the article. By definition, an optimization is an approach that yields the best of all possible solutions. We can limit this definition to its narrowest sense, the optimization techniques of operations research such as linear programming, or broaden it to include less sophisticated search procedures that find the best mine plan or schedule. No such claim is made in the article. No optimization of any kind is performed. The major tool used is a simulation, which, in truth, is probably more appropriate for this problem than any optimization. But simulation does not optimize. It only allows for quick evaluation of many options, leading to the selection of the best plan "of those tried," not "of all possible plans." This article, of course, is not the first mining paper to make this error. It seems that the word optimization is used more to impress people than to refer to any act of optimizing. It is used in a way that implies "try to optimize"or "come close to optimize," but not to really do it. It is usually appropriate to quietly ignore this error. But when Dr. Chatterjee, who has done so much good work in true optimization projects and whose work I have come to admire, makes such an error, it is time to publicly dispute it. Having discussed this very point with him in the past, I am sure that he will agree. If he can support this position in his response, perhaps people will start to listen and we can reduce the number of false claims of optimization. This should be easy for him in this case since the approach he used, simulation, is the more appropriate one anyway.

Jan 8, 1988

By H. L. Bourne

This paper describes six basic stages between perception and production for a new sand and gravel deposit. Sand and gravel, like many of our natural resources, is taken for granted. It is assumed by John Q. Public that because sand and gravel is ubiquitous that it is available whenever and wherever needed - so long as it does not have to be mined in his neighborhood. This idea illustrates one of the enigmas of the industry, the fact that sand and gravel is abundant; however, its availability is another matter. Another problem is that this resource falls in the category of high volume, low profit materials; therefore, transportation costs are critical. Transportation roughly doubles the cost of these materials. It is not difficult to find sand and gravel, at least in Michigan. The problem is to locate a new source close to a market, near an adequate transport route (usually a highway) and in an area which will allow mining.

Jan 1, 1970

An appropriate scale-up methodology is very useful for ball mill design and optimization of the grinding circuit. To date, the scale-up is based on the selection and breakage function method using lab mill data. However, a major drawback of that approach is that the charge motion in a lab mill is vastly different from that in a large industrial mill. Therefore, in the methodology proposed here, first the energy of individual collision in the mill is computed employing the discrete element method (DEM). Then the breakage of particles as a function of collision energy is studied in a separate experiment. Together, this information constitutes what is known as collision energy based population balance method. The appropriateness of this method is shown for 38-cm ball mill.

Jan 1, 1998

By Eugie Kabwe

The velocity of detonation (VOD) is a significant property considered when rating an explosive. It may be quantified as a confined or unconfined velocity. The confined velocity is the rate at which the detonation wave propagates through an explosive within a blast hole or any restrained space. The unconfined velocity emanates when an explosive is detonated in the open. However, the confined velocity is more significant as explosives are usually employed under a definite degree of confinement. This paper evaluates the increment of air deck volume and its effect on the VOD. The air gap (air deck) volume is increased stepwise from 10 to 30% of the total blast hole volume by reducing the stemming height in the collar zone. Thereafter, the VOD estimation in the 172-mm-diameter explosive column is conducted using the Dáutriche technique. It is observed that the VOD reduced with the increasing air deck volume and detonation failure is high when 30% of the blast hole volume is replaced with air deck. It is deduced that the increment of the air deck volume has an effect on the attenuation of the steady-state VOD.

By Dale R. Ralston, Roy E. Williams, Gerry V. Winter, George L. Bloomsburg

The term unsaturated flow refers to the conditions in which soil pores are filled partially with water and partially with air. This situation constitutes a porous material filled with immiscible fluids. Immiscible fluids by definition exhibit a distinct interface when in contact with each other resulting in a pressure discontinuity across the interface due to surface tension. The fluid that tends to wet the solid particles is called the wetting fluid and the other is the nonwetting fluid. In the air-water sys- tem, air is the nonwetting fluid and water is the wetting fluid. A somewhat analogous fluid system is that in a petroleum reservoir in which there may be up to three immiscible fluids-oil, salt water, and natural gas. The degree of wettability of the fluids is salt water + oil + gas. That is, salt water is the wetting fluid at any interface and oil is the wetting fluid at an oil-gas interface but is the nonwetting fluid at a water-oil interface. Since the oil-water and air- water systems are similar, much of the theory and methods of analyses for the air-water system or unsaturated flow have evolved through the petroleum literature. In the two-fluid system the pressure difference across an interface depends on the size of the pore space in which the interface occurs. The equation commonly used to represent this dependence is

Jan 1, 1986

By E. Wiewiorowski

A new technology for recovery of metals from spent catalysts containing aluminum, cobalt, molybdenum, nickel and vanadium was developed. The catalysts are decomposed in two consecutive pressure leaching steps. Sodium aluminate-sodium hydroxide systems are lixiviants in both leaching steps. Selective extraction of molybdenum and vanadium is achieved in the first leaching step. The leach liquor is processed for separation and recovery of these two metals. The residue from the first leaching step is further processed in a second leaching step where alumina is solubilized. The residue from this operation is a nickel-cobalt concentrate. Alumina is separated from the second stage leach liquor by precipitation; the depleted liquor, a sodium aluminate solution, is recycled to the first and second leaching step. This technology has advantages over other approaches for the recovery of metals from spent catalysts because no solid waste is generated.

Jan 1, 1988

By I. Dunlop, A. Goulsbra, R. Dunne

Mineral liberation or more aptly the particle size at which cost effect liberation is attained is an important mineral processing parameter. This implies that not all the mineral is liberated as further size reduction is not economically warranted. For ores of low grade minimising both the comminution capital and operating costs are crucial aspect to ensure project visibility. As a consequence the focus of attention for the most part is direct­ed to 'coarsening the grind" ahead of any downstream process­ing treatment. In most cases, recovery will be sacrificed to pro­vide for 'more tonnes' of capacity and in general this is eco­nomically justifiable. Preferential liberation and its measurements is an aspect of mineral processing that has created much attention and contro­versy. It is not the purpose here to discuss this matter in depth other than to state in broad terms that if an ore from the same source is subjected to comminution by two different methods, such that the product particle size distribution is similar, and subsequent downstream treatment demonstrates substantial dif­ferences in recovery, then there is reason to believe that prefer­ential liberation has occurred. Comminution by high pressure grinding rolls (HPGR) is a relatively new technology claimed to have two major advan­tages over conventional comminution. Firstly and more impor­tantly is the ability to improve comminution power efficiency. Power reductions of 10 to 40 percent being claimed. (Pagett et al (1995), Sargent (1995)). A secondary benefit claimed is that preferential liberation can occur. Generally, for HPGR there is a natural tendency of the product to have a skewed particle size distribution to the finer size. This in its own right could manifest itself in improved leaching and preconcentration performance. The question remains that if in using another comminution device, other than a HPGR, to produce a similar product size distribution as the HPGR, will there be any difference in downstream between the products from this and a HPGR.

Jan 1, 1996

By P. Malozemoff

I have no objection to using mathematics in the value appraisal of properties. The factor that is not emphasized in the paper is that very few important properties have a lifetime that reflects the initial ore reserves of the property divided by the rate of production adopted. In the majority of cases, major properties mine out several times the initial reserves. How much more will be mined out is not known, and only exceptionally gifted geologists can predict that additional reserves will be found. There is the further factor of metals price, which, over the long term, is not predictable. Another factor vitiating making calculations on initially established ore reserves is the speculative nature of exploration success. In my judgment, the life of a property, in addition to an established ore reserve, should include ample time for exploration to find additional reserves. The likelihood of additional reserves is based on the geological promise of the general area where the mine is established. This is especially important because of various risk factors associated with small orebodies, the economic life of which is about five to seven years.

Jan 1, 1993

By L. G. Austin

The general manner in which the liberation function must change during size reduction is described. Data from float-sink (washability) analysis of a coal is used as an illustration, and a Locking Index is defined and calculated. Ash is not distributed equally with respect to sieve size but is concentrated more in the finest sizes. On the other hand, the ash is less locked with coal in the finer sizes than in the larger sizes. Further crushing showed decreased locking in intermediate sizes, but the material in the fine sizes (produced from breakage of highly locked larger sizes) was more locked than material of the same size in the feed. Future work is also discussed.

Jan 1, 1995

By Bryan A. Bartley

High intensity, autogenous grinding has been developed in the hard rock, quarry industry and is finding wide application in mineral processing. The autogenous vertical shaft impactor is described and action within the machine is illustrated. This machine is compared with the cascade mill, in the three characteristics of impact, inter-particle rubbing and nipping, of which impact is the most important. There is a seven fold increase in impact level over that of the cascade mill. The autogenous impactor has characteristics of crushing and grinding, preferential crushing, abrasion resistance and drying. These are illustrated by examples of industrial applications, where the machine is now used and range from abrasives, such as Carborundum to phosphate rock.

Jan 1, 1998

By O. H. Tuovinen, T. M. Bhatti

Microbiological leaching has been used as an alternative approach to conventional hydrometallurgical methods of uranium extraction. In the microbiological leaching process, iron-oxidizing bacteria oxidize pyritic phases to ferric iron and sulfuric acid, and uranium is solubilized from the ore due to sulfuric acid attack. If uranium in the ore material is in the reduced, tetravalent form (UIV), a red ox reaction is involved whereby uranium is oxidized to the hexavalent form (UvI) upon dissolution. In acid-leaching systems, the primary oxidant is ferric iron, which is reduced to ferrous iron by its chemical reaction with UIV. The ferrous iron thus formed is reoxidized to ferric iron by iron-oxidizing bacteria such as Thiobacillus ferrooxidans and Leptospirillum ferrooxidans. Nutritional requirements and responses to environmental extremes of acidophilic iron-oxidizing bacteria are appraised. The S-entity in Fe-sulfides is oxidized to sulfate by bacteria similar to Thiobacillus ferrooxidans and Thiobacillus thiooxidans. Pyrite and marcasite oxidation is a sulfuric acid forming reaction. Heap, dump and in situ leach techniques are feasible as bacterial leaching systems.

Jan 1, 2000

By Merrill P. Allen

The Vernal phosphate rock concentrator is located in the Uinta Mountains near Vernal, Utah. Ore is sedimentary rock from the Phosphoria Formation. Truck and shovel mining is done at a rate of 11,500 TPD. Run of mine ore is crushed and then milled through a SAG mill and ball mill to minus 16 mesh. Milled ore is deslimed using cyclones and hydrosizers. Sands are conditioned with fatty acid, petroleum sulfonate, diesel fuel and frother prior to primary rougher and cleaner flotation. Primary flotation tailing is milled to 95% minus 48 mesh, deslimed in cyclones, conditioned using reagents previously described, and then processed through rougher and cleaner scavenger flotation. Product of scavenger cleaner concentrate is upgraded by reverse flotation of dolomite. Flotation concentrates are combined and dewatered, pulp being milled to 99.5% minus 65 mesh and then thickened to 65% solids. Product is pumped from storage through a 10 inch, 94 mile pipeline to a conversion plant at Rock Springs, Wyoming. Mill tailing is stored behind an earthen dam, water from the settled tailing being reclaimed for mill use.

Jan 1, 1993

By Bruce Hern

The last 10 years have seen a dramatic increase in the requirements for product coal quality control. This has led to electric utility sulfur scrubbing, metallurgical blast furnace optimization and coal producer blend and yield optimization. To achieve this improved level of control, coal producers are designing facilities that emphasize new technology. New facilities will be designed and existing facilities will be retrofitted with state-of-the-art technology to meet quality control standards that are dictated by the market. The first step in designing for process control requires the identification of those parameters to be controlled and the upsets that can cause variances in the final shipped product quality. The most common parameters that require control are the surface moisture (%), ash (%), pyritic sulfur (%) and gross calorific value (Btu). Total moisture is that moisture that exists on the surface of the particle and is inherent in the particle itself. For the purposes of control, the total moisture is monitored, while surface moisture is controlled. Ash is the inorganic residue remaining after all other constituents are burned away at 75O°C( 1382°F)(ASTM, 1992). Sulfur is the amount of total sulfur that exists either as pyrite (FeS2), inorganic sulfate (FeS04), or organic sulfates (C4H4S) (Leonard, 1979). Currently, pyrite is controlled and total sulfur is monitored. The gross calorific value is the amount of heat produced when a unit quantity of coal is ignited under specified conditions. In this case, a l-g (0.03-oz.) sample of coal is ignited in an isoperibol waterbath and the temperature rise of the water bath is observed. The moisture and ash-free (MAF) Btu is relatively constant for a given seam, resulting in the whole calorific value being a function of the moisture and ash levels (Leonard, 1979).

Jan 1, 1994

By John R. Hawley

Ontario, one of the richest mining districts in the world, is a natural storehouse for much of the earth's fresh water supply. Covering over 344,000 square miles, the surface of this Canadian Province is dotted with 250,000 fresh water lakes and is laced with uncounted thousands of fresh water rivers and streams. The southern portion of the Province, for the most part, is flat or lazily rolling farmland. This is where most of the people in Ontario live. Although it is not a major mining area, southern Ontario does possess important deposits of salt, oil, gas and gypsum. Most of these deposits are being actively worked. Toronto, the capital city of Ontario, lies deep in the southern region. Here the climate is mild and the winters are short. The total annual precipitation consists of 27 inches of rain and 65 inches of snow. Most of the major mining companies that do business in Canada have made Toronto their Canadian headquarters. There are two reasons for this. The first, of course, is money. Toronto is the gathering place of many well- known financial institutions. The second is access. Toronto lies within a few hundred miles of some of the most spectacular mining enterprises that exist in the world.

Jan 1, 1973

By Otis M. Clarke

Although most bauxite mined is used to make metallic alu¬minum, more than a million tons of bauxite is used annually in the United States in the manufacture of refractories, chemicals, abrasives, and cement. Raw material requirements are becoming increasingly difficult to meet because high-grade bauxite, required for some uses, is limited. The supply of raw material for high-alumina refractories is most critical because a low-iron bauxite is needed. Although there are substantial bauxite reserves in the world, bauxite suitable for use in refractories is limited to a few districts.

Jan 1, 1977

By R. J. Pindred

Discussion by R.J. Pindred In his paper, Davis presents an overview of risk. He also introduces the Capital Asset Processing Model (CAPM) as a foundation for selecting the appropriate discount rate for a mining project. While applying portfolio theory is more defensible than the ad hoc adjustment of discount rates, the CAPM is not a panacea. CAPM shortcomings [The CAPM, as Davis stated, is expressed in the equation: ri=rf+pi4) where ri is the project discount rate rf is the risk free interest rate (3i is the project beta, and 0 is the market risk premium (rm - rf)] Application of the CAPM is more difficult than Davis indicates. Valuation is prospective, while the CAPM parameters are historical. Beta is determined from a regression analysis of historical data, while the beta needed for valuation is the expected beta. Betas are known to be unstable and the regressions that generate them often have low explanatory power. The difficulty of estimating a "project" beta must also be considered. Thus, the beta that is used in the CAPM will be based on the analyst's judgment. Like Cavender's discount rate, this judgment can lead to different project NPVs. Subjectivity in valuation cannot be avoided by a mechanical application of the CAPM. The risk-free rate, which Davis identifies as a short-term real rate of 4%, is also subject to scrutiny. A mining project is not a short-term investment and no single risk-free rate is appropriate for all of the cash flows. The hypothetical mine discussed in Cavender's paper is a six-year project. One might argue for the application of a risk-free rate from the Treasury yield curve at the duration of the project (in a bond-duration sense). This, too, is inappropriate. The risk-free rate should be matched to the timing of the cash flow. These rates can be determined by calculating the implied forward rates from the yield curve using a procedure known as "bootstrapping." It is likely that each of the project's cash flows would be discounted at a different rate. Commodity prices Davis criticizes the "ad hoc adjustment to the discount rate." Yet, in his discussion of the value of stochastic simulation, he suggests that the gold price be modeled as a "random walk, with or without a trend." This is essentially an arbitrary modeling of price risk. Consider that a liquid market in gold futures exists. The futures' price curve, which is closely related to the market's estimate of future spot gold prices, should be used to provide inputs to the model. This is especially true of a relatively short six-year project. Alternatively, as Davis correctly points out, a risk-averse investor can sell the commodity short to hedge price risk. Is it any more correct, in the portfolio sense, to account for price risk at all ?? References Cavender, B., 1992, "Determination of the optimum lifetime of a mining project using discounted cash flow and option pricing techniques," Mining Engineering, Vol. 44, No. 10, pp.1262-1268 Fabozzi, F.J., 1993, Bond Markets, Analysis and Strategies, Second Edition, Prentice Hall, Inc. Higgins, R.C., 1992, Analysis for Financial Management, Third Edition, Richard D. Irwin, Inc. Solnik, B., 1991, International Investments, Second Edition, Addison Wesley Reply by G.A. Davis Pindred discusses two issues related to my paper, the shortcomings of the Capital Asset Pricing Model (CAPM) and which commodity price values to use in the valuation exercise. Even though these topics are not directly related to the use or misuse of Monte Carlo simulation, they are important points to take into consideration in valuation exercises. Since I do not appear to have addressed these issues satisfactorily in my original paper, I will comment on each here. Pindred agrees with me that applying portfolio theory, and specifically the CAPM, to the selection of project discount rates is more defensible than ad hoc methods. But he then points out that the application of the CAPM to project valuation is more difficult that I indicate. It is true that the CAPM is a difficult tool for project valuation in general,. But the application of the CAPM to mining projects is one of the easiest I can think of. The biggest problem with using the CAPM for project valuation is coming up with an expected project beta. I suggest a project beta for gold projects of 0.45. The "true" value might be 0.35, 0.55 or whatever. Pindred correctly notes that the selection of the appropriate project beta is based

Jan 1, 1996

By D. Robert Weir, Roman M. G. S. Berezowsky

Pressure oxidation of gold containing concentrates and ores is an effective pre- treatment for liberating refractory gold. This is particularly true when an appreciable portion of the gold is associated with sulphides and is not amenable to conventional cyanidation. A brief review of the literature on the pressure oxidation of refractory gold materials is presented. The chemistry of the aqueous oxidation of arsenopyrite and pyrite is discussed. Data obtained on the pressure oxidation and subsequent cyanidation of concentrates and ores tested at the Sherritt Research Centre are also presented.

Jan 1, 1984

By Flavio Moreira Ferreira

In mining industry, one of the simplest methods to smooth the standard deviation of a given ore controlled property is to build longitudinal blending piles. The effect of homogeneization is obtained due to the fact that an entire cross-section of the pile is reclaimed at each time. The variance of the pile output is the sum of the internal cross-section slice variance plus the reclaimed slice variance. While the first term is a tipical short-term parameter and is absorbed by the process, the second one may be or may not be absorbed. The goal of designing blending piles is to minimize the reclaimed slice variance. Conditional Simulation as described in this paper, is an alternative method to do it. It is devised to design longitudinal blending piles, taking into consideration economical, geometrical and statistical parameters of the ore to be blended, in order to estimate the resulting effect. It presents advantages in relation to other methods for its adaptability and flexibility in simulating pile performances.

Jan 1, 1992

By Priscilla P. Nelson, Francis L. C. Fong

Introduction Fracture mechanics is the study of the behavior of cracks and their modes of propagation. During cracking, energy is consumed in creating new surface area. The more energy a material absorbs, the higher is its fracture resistance. This fracture energy is provided either by work done externally, by the release of elastic strain energy within the cracked body, or by a combination of these two effects. Fracture resistance is measured in terms of either the stress intensity factor, K, or the energy release rate (also referred to as crack driving force), G. For linearly elastic materials, these two quantities are related by the following equation: [ ] where [u] is Poisson's ratio and E is the modulus of elasticity. Both K and G are direct functions of the applied force and the crack length. The process of rock cutting with full-face tunnel boring machines (TBMs) involves the indentation of a rock surface by rolling disc tools. Excavation occurs as fractures, extending from the locus of chip indentation, propagate between concentric disc grooves and liberate rock chips from the intact rock face. Since disc cutting is achieved by a fracture process, it is logical to anticipate that differences in cuttability of a variety of rocks should be related to the variation of fracture material properties among the rocks. Such a relation has been demonstrated between the performance of full-face TBMs and the critical crack driving force for excavation in relatively high strength, brittle, low porosity, isotropic rock (Nelson et al., 1985). The objective of this paper is to report on the results of a continued investigation of the relationship between fracture material properties and the effectiveness of disc cutting. Additional reliable data on full-face TBM performance is difficult to obtain, so that the results of disc linear cutter tests performed by the Transport and Road Research Laboratory (TRRL) (U.K.) are utilized in this study. Fracture Material Property Evaluation If a crack tip is subjected to a perfectly plain strain condition, many materials will behave in a brittle manner, and the material resistance to fracture is constant during crack growth. This resistance is referred to as the plain strain fracture toughness, believed to be a material property. The standard testing procedure for this parameter is given in the American Society for Testing and Materials (ASTM) test designation E399. To ensure plain strain conditions, acceptable specimen geometries are specified. Unless these geometric specifications are adhered to, the measured fracture resistance is regarded as the apparent fracture toughness, and a subscript Q is used, as [ ]. The methodology adopted by ASTM E399 is within the framework of Linear Elastic Fracture Mechanics (LEFM). This approach assumes that material resistance against cracking is developed instantaneously, without initial stable or subcritical crack extension. Prior to crack advancement in rock, however, much of the crack driving energy is absorbed in a localized volume in front of the crack tip, referred to as the plasticity or microcracking zone. This capability for energy absorption substantially increases material resistance, and a crack may be arrested unless an increased crack driving force is applied. The LEFM or plain strain assumptions would underestimate the actual fracture resistance of such a material. Such a conservative approximation may be desirable in the design of structures against fatigue or brittle failure. In mining or tunneling, however, an underestimation of crack resistance can lead to the selection of underrated excavation equipment and a decrease in production efficiency. The development of fracture resistance in rock is best described by the material resistance curve, or R-curve, which is a plot of fracture resistance as a function of crack extension. Typically, peak resistance is only reached after a finite amount of subcritical crack growth. The

Jan 1, 1986