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By J. Scott McDougall, J. Herman P. Eng. Vanderlaag

An underground mine fire can seriously threaten the lives of all personnel in the mine. This fact makes fire emergency planning a high priority in the mining industry. The optimum warning alarm must be fast and able to reach all miners, regardless of their location or work activity. Current means of fire warning are varied, and include such methods as stench, telephones, and word-of-mouth (messengers). Unfortunately, none of these methods are entirely satisfactory. A novel fire warning alarm which enables instantaneous warning of all underground personnel, the Canary Nine Messenger System, has been developed by VLF Magnetic Systems Inc. in conjunction with Noranda Technology Centre and the U.S. Department of the Interior - Bureau of Nines. The warning is sent by an electromagnetic signal which penetrates through mine rock to receivers housed in the battery packs which also power each miner's cap lamp. A loud buzzer in the integrated battery/receiver unit and the flashing of the cap lamp alerts miners to incoming messages. Testing of prototype equipment has demonstrated that the transmitted signal is capable of penetrating through over a mile of mine rock and activating the receiver. This report describes the theoretical basis for through-the-rock ultra-low frequency electromagnetic transmission, and the design of recently available transmitter and receivers.

Jan 1, 1995

By Osamu Shoji, Mamoru Kato

In order to continue improving the quality of telecommunication services to meet the expectations of the people and to increase reliability in the case of emergency such as disasters, Nippon Telegraph and Telephone Public Corporation (NTT) is now constructing cable tunnels which connect main urban telephone offices. However, almost all the large cities in Japan are built in river deltas, so that their chief underground features are low strength fluvial deposit and a high ground water level. In this saturated soft ground, the ground surface at an installation site has occasionally subsided through deep excavations for cable tunneling construction. As these settlements have sometimes caused accidents, especially in densely populated large cities, NTT has made much effort to avoid such accidents. These accidents have occured mainly in flexible sheeting due to its inward movement. Therefore, after the investigation into forecast method of sheeting deflection with accuracy, NTT has reserched a system which forecasts ground surface settlements. This paper describes an outline of the ground settlement forecast system and practical example on the site.

Jan 1, 1979

By Bruce W. Cavender, Brian L. Granger

The leaching characteristics of non-homogeneous ores have traditionally been difficult to assess in laboratory tests. A result of the large sample size necessary to ensure representativity, this difficulty is most acute for ores containing nuggets or other irregular occurrences of precious minerals. Consequently, small-scale leaching tests are often regarded as indicative rather than conclusive. The predictive nature of leaching tests can be improved by applying the experimental design concepts of blocking and randomization. In the case of column leaching, experimental 'blocks" are constructed with the same number of columns as there are separate test conditions. These blocks are treated identically throughout the test, with differences between columns within each block being the variables of interest. To maximize the uniformity of the blocks, randomization procedures are employed in the preparation of the sample and conduct of the test. The initial ore sample is screened and individual column charges composited from randomly selected increments from each size fraction. The leaching order, daily solution analyses, and processing of leach residues are similarly randomized. The observed differences in leaching performance between the columns in each block are compared to determine the over-all outcome of the test. A statistical analysis using t distributions gives a quantitative measure of the reproducibility of the outcome.

Jan 1, 1995

By Sean E. Armstrong, Deepak Malhotra

Gold extraction from refractory ores as a percentage of total gold production is increasing. The processing technology options for treating difficult-to-process refractory ores are also increasing. The best processing option is dependent on many factors including feed grade and the cause for ore refractoriness. The causes for ore refractoriness are many foldCpreg-rob­bing, encapsulation in pyrite, arsenopyrite or silica, presence of cyanocides, presence of cyanide-insoluble gold compounds, etc.1. The first step in the process development of a refractory gold deposit is to determine the cause for ore refractoriness. The traditional approach of undertaking detailed mineralogical examination of ore types, major and minor mineral constituents and their association does not necessarily provide the metallur­gist all the information needed for characterization of gold-bear­ing ores. For process development programs it is desirable to complement traditional mineralogical methods with diagnostic leach testing, which attempts to quantify the deportation of gold in various mineral matrices. This paper briefly reviews the diagnostic leaching proce­dures and its applications for a wide range of gold-bearing refractory ores, both primary and by-product.

Jan 1, 1996

By Charles D. Litton

This report describes a smoke particle detector which utilizes a novel three electrode configuration and 5.0 [] source of Americium 241. The detector operates on the principle of diffusional charging by a region of unipolar molecular ions. The detector is sensitive to particle concentrations in the range of 10 to 5 20 ug/m3. The detector is intended for use primarily as an early warning fire detector but has the potential for other applications of particulate monitoring. In particular, this report adresses the potential use of the detector for monitoring diesel particulate matter (DPM). To assess the viability of this application, particle size data obtained from in-mine sampling of both DPM and dust were used to derive detector sensitivity functions for DPM and dust as a function of their mass concentrations only. These sensitivity functions are dependent upon the average diameters and size distributions of the DPM and dust. Using the derived sensitivity function for DPM, experiments were conducted in a ventilated tunnel where the true DPM mass concentrations, measured using a Tapered Element Oscillating Microbalance (TEOM) were compared to the mass concentrations calculated using the detector sensitivity function. The agreement between the two measurements was good, indicating that with additional experiments, coupled with in-mine evaluation of the detector, refinement of the device for use as a continuous monitor for DPM appears feasible.

Jan 1, 1989

By F. W. DeVries

The preoccupation with cyanide as an environmental issue has been described as virtually an obsession for state and federal agencies enacting regulations for environmental protection. This seems likely to continue in legislative planning, as well. This is despite the fact that the only significant group of cyanide-related incidents has been the bird-mortality occurrences, predominantly in arid areas, and these have been greatly reduced by a concerted effort by operators. What follows is a brief list of areas for which the industry may need either additional information or plans for defensive strategies over the next two to five years.

Jan 1, 1991

By W. A. Cincilla, Z. T. Bieniawski, E. Unal

Although coal mine tunnels such as the main haulageways or roadways are the lifelines of coal mines, little attention has been paid to them in terms of pre-construction planning and design. This paper presents the results of research aimed at improving design methods for coal mine tunnels. Studies of the current practice and design needs in the United States were performed for coal mine development entries. A design approach evolved for coal mine tunnels is presented. It is based on field investigations and laboratory model studies aimed at integrating into reinforcement guidelines for coal tunnels. An up-to-date bibliography on coal mine tunnels is provided.

Jan 1, 1981

By Nathaniel Arbiter, Brij M. Moudgil

Separating oil shale from waste material or into high- and low-grade fractions can have a major economic influence on the surface retorting process. Different shale rock components vary significantly in physical and surface chemical properties, such as specific gravity, color, and water wettability. Various techniques that use the differences in one or more of these properties have been proposed to preconcentrate oil shale before retorting. This article discusses some proposed techniques, such as gravity separation, sorting, and froth flotation. Retorting oil shale is the most common method for recovering oil from the rock. This process is accomplished either underground (in situ) or above ground (ex-situ or surface retorting). Both techniques have serious limitations, such as low recoveries in the underground method and the ability to process rich shales only in the above ground retorting method. Also, environmental problems are associated with both techniques. Some of these limitations could be overcome if feed to the retorts is of consistent grade. This could be achieved by selecting appropriate sites for in situ retorting and selective mining for surface oil shale retorting. Both of these, however, would have a serious economic impact on shale oil recovery. Obviously, little control can be exercised over preparing feed material in the in situ retorting process, but beneficiation of oil shale could definitely be advantageous in surface retorting, and should have positive influence on the overall economics of recovering oil from the shales. For example, preconcentration of mined shale could result not only in reduced costs for materials handling, but also in waste disposal costs, since waste characteristics before and after the retorting process are significantly different. Upgrading the oil shale might also allow substitution of alternate technology for retorting as well as extend the process to recover oil from marginal deposits. Also, the separated material may become a potential source for recovering other values from shale deposits. Overall, the incentives for preconcentration are to reduce costs and improve thermal efficiency of the recovery process. Oil Shale Properties Important to Preconcentration Oil shale is a carbonaceous rock assaying 5-30% organic material (kerogen) and 70-95% ash-forming minerals. Kerogen is soft, nonbrit¬tle or semi-brittle material, and generally forms a matrix between irregularly distributed mineral grains. Inorganic mineral mat¬ter-quartz, feldspar, dolomite, kaolinite, dawsonite, and nahco-

Jan 9, 1982

By John Rushton

Surface mining, from ore extraction to processing, requires many types of equipment to obtain the final product. Mine equipment often includes shovels, drills and haul trucks. Ore processing equipment, including plants, mills and concentrators, are also part of surface mining operations. Surface mining operations emphasize production. Production is where the bills are paid and fortunes are made. However, there must be support to keep the equipment operational. To most production people, equipment maintenance is a necessary evil. Maintenance is not glamorous work. It is often neglected when praise is being passed around. It is easy to recognize higher production, greater capacities, faster cycle times or more loads hauled. But who cares if an engine is replaced in 12 hours instead of 48? The answer is, everyone should - from the hourly miner to the mine manager. Surface mining equipment needs constant maintenance work. It must be lubricated, components replaced, electrical problems repaired and other problems addressed. Repair work for any surface equipment takes time away from production. It costs money. Maintenance costs cannot be avoided. However, they can be minimized. Minewide communication should include operations cooperating with maintenance. Traditionally, operations resist surrendering equipment to maintenance if it can continue to produce. The rationale is, every load that can be hauled today is money in the bank. If the unit is taken down, the money is lost. This thinking is prevalent in many surface mining areas, including the mill. "Not on my shift," the operator thinks. "Let the next crew worry about it. The problem with this thinking is in probability and statistics. The longer equipment goes without maintenance work, the higher the probability of equipment failure. When the failure does occur, it is certain to cause the equipment to remain down longer than if the maintenance department had been allowed to take it down. Many mining operations have closed early in their lives because of poor maintenance practices. This has become the industry standard because substandard levels of performance are acceptable. Management believes it gets five to six hours of work from maintenance people during an eight-hour shift. Actually, the industry average is less than two hours of work per shift. Real productivity levels of less than one hour are not unusual. There are few exceptions. However, a daily work schedule (DWS) will increase productivity at many properties by 50% to 100%. A 200% improvement is not unusual. The DWS will work. Maintenance people are among the most intelligent and motivated people on the property. They deserve the chance to be productive. [ ] In preparing a DWS, management needs to understand two productivity principles - the productivity spread and the real maintenance workday.

Jan 1, 1997

By Koehler Stout, Leroy Friel

INTRODUCTION Hydraulic sand fills have been extensively used in the United States in deep metal mines since 1940, and hydraulic fills have been placed in coal mines in Europe for many years. Numerous surface hydraulic fills exist in Appalachia for the disposal of coal mine waste and throughout the United States for the disposal of other mining, manufacturing, city, and paper company wastes. Hydraulic fills, as they are now deposited in stopes in mines, are often deposited at near minimum density and hence provide very little support to stope walls and pillars. If the support strength of fills could be increased, perhaps ground conditions in deep mines could be improved making them safer and more efficient. Surface fills deposited at higher densities could be covered with top soil upon which grass could be planted. The purpose of this paper is to describe procedures where the support strength of hydraulic fills can be considerably increased, and the focus of the paper is on applications to deep mines. In deep mines the objective of increased fill strength is to reduce heavy ground problems, improve destressing techniques, reduce or eliminate rock burst incidences, provide better working conditions, provide wall support so that more or all ore pillars can be removed, and improve mine safety, efficiency, and reduce surface environmental problems. The authors have shown that it is possible to improve fill strength used in deep mines. This paper reports the slurry filling procedure, fill testing techniques, and some recommendations for application in deep mines. Some of the reasons for low strength hydraulic fills are:

Jan 1, 1979

By C. N. Greene

I am sure it is obvious to all of you that a complete program of casualty and property insurance is as necessary for any tunneling contractor as it is for anyone else involved in trade in the United States today. Going beyond those general undefined terms, there are many areas that need specific attention, particularly for contractors, regardless of size. WORKERS' COMPENSATION Workers' Compensation is mandatory in all states and the District of Columbia. In most of the states, private insurance provides this coverage. In a few states, the state operates Workers' Compensation funds, some of which are competitive with the private sector and others are operated on a monopolistic basis. Under a monopolistic setup, you have no choice, you must buy coverage from the state. Self insurance of the Workers' Compensation risk is also an alternative in most jurisdictions. With a contractor operating only in the U.S., the coverage extensions are few in number. If your work brings you anywhere near navigable waterways or land extensions thereof, you should have both U. S. Longshoreman and Harborworkers' coverage, as well as Employer's Liability coverage for the master or members of the crew of a vessel.

Jan 1, 1983

By Dwane K. Johnson

INTRODUCTION The small mining company faces the dilemma of how to finance the development of its properties because it doesn't have the financial resources to pay for the development costs from its own funds and doesn't have the financial strength which will enable it to borrow the money needed for development. However, with a little imagination and the right set of circumstances, a financing can be arranged for the small mining company. This paper is an attempt to describe the fundamental steps on how such financing can be obtained --in other words--what is required to provide ad- equate capital at a low cost for developing and bringing a mining property into production. Innovative financing follows from this. The basic keys for building and maintaining a successful mining company are "the four M's": Management, Market, Mine, and Money. The writer believes their order of importance is as presented and each is a building block required in order to obtain the type of financing that best suits the borrower and lender. MANAGEMENT Management must be experienced, highly organized, realistic, able to take advantage of opportunities and fulfill promises. Mine financing requires a variety of skills and concentration on the part of management. Management should have a thorough understanding derived from experience in geology, construction, mining and metallurgy and environment, marketing, and financial matters. Management must realistically visualize what will be produced at what cost and truly evaluate the risks associated so the proper security can be correctly designed. Since risk cannot be eliminated, the objective of management is to identify the risk which will be present in a given venture and assess the level of that risk which will be acceptable to the firm. Generally the risk which is present is subject to little or no modification. After management identifies and measures the acceptable risk the firm will proceed in a way that it will be least exposed. Management must determine its long-term objectives and strategies within the context of a constantly changing world. This question must be addressed before examining the sorts of risk which affect the development and operation of a specific property. The compilation and interpretation of "hard data" by competent people is good to a point but the experience and instinct of seasoned individuals are the important factors in management choosing a long-term direction for the corporation. The attitude towards risk greatly affects the goals of the corporation. Major risks in a mining project can be placed in four categories: 1. Market - Price, demand, substitution. 2. Costs - Capital, operating, financial. 3. Regulation. 4. Taxation. The feasibility study for a project is the fundamental tool used in the management of risk. Management should employ an experienced team with an established and well-understood set of ground rules for the preparation and assembly of a feasibility study. The necessary degree of realism is built into all levels of the study and if the project is technically feasible, the company's hurdle rate is then used to discount the base-case project cash flow in order to determine its financial viability. Understanding the geological significance of the mineral deposit is critical. There should be strong interplay among the pure regional geologist, the detailed mine geologist, the mining engineer, and the metallurgical engineer. The collaboration among these different disciplines will yield a feasibility study that is more reliable. The essence of this work must be appreciated and understood by the executives planning the financing. It is vital that they thoroughly understand the risks and make the proper risk assessments to cope with our rapidly changing market environment. Projecting future revenue values is paramount and is subject to much estimation. One way to mitigate fluctuations and the risk of falling prices is by selling production for future delivery. MARKET Since mining is a worldwide industry it is mandatory that bankers be aware of what is occurring in the marketplace, both foreign and domestic. The marketing of the production is a very important facet when considering financing for the small

Jan 1, 1987

By Hans von Michaelis

This paper examines the process options available for treatment of "refractory" gold ores. As more and more of the easily leached oxidized gold ore zones are exhausted, the pressure is on to find more economical ways of treating refractory gold ore deposits. Historically, refractory ores were generally concentrated, e.g. to make a flotation concentrate that could be roasted. A major development is taking place in the USA in which ores from which gold cannot be concentrated well by flotation are being treated using whole ore oxidation processes prior to cyanidation. Refractory gold ore treatment processes are generally expensive to install and operate. Thus, for a refractory gold ore project to be economically viable, the grade must generally be higher than for free milling gold ores.

Jan 1, 1993

By K. Tokutake

Kobe Steel, Ltd. improved the quality of iron ore pellets for blast furnace burdens when it enlarged its blast furnaces. However. there still remained room to increase reducibility at high temperatures for better blast furnace operation. In particular, it was still necessary to lessen the reduction retardation above 1200?C. In the last few years, by employing iron ore and additives of optimum size structure, large pore pellets with a high porosity have been obtained. By using this method. Kobe Steel. Ltd. has accomplished the technology to produce pellets with remarkably high reducibility.

Jan 1, 1989

By A. Bumanis, K. S. Bawa

INTRODUCTION A rail rapid transit system called the "Metro" system is presently under construction in the Nation's Capital area. The agency responsible for the design and construction of the Metro system is the Washington Metropolitan Area Transit Authority, an independent tristate organization set up under an Act of Congress and financed by federal, state, and local public funds supplemented by revenue bonds. When completed, the Metro system will comprise nearly 100 route miles. About fifteen percent of this mileage is now under construction, while designs for the-remainder are in progress. The system is scheduled for completion in about eight years at a cost of approximately 3 billion dollars. The Metro system will involve nearly all types of construction generally used for rapid rail transit projects. About half of the mileage will be underground, comprising approximately 16 miles of rock tunnels, 10 miles of earth tunnels, and nearly 21 miles of cut-and-cover construction in earth (see Figure 1.). The remaining 51 miles of the system is planned to be constructed on the surface as at-grade or elevated structures. The system includes 86 passenger stations, 53 of which will be underground structures. Twelve of the underground stations will be large size chambers in rock while other underground stations will be constructed in earth as cut-and-cover structures. Thus, about one-fifth of the system will be designed as underground structures, namely tunnels and stations, in rock. Such designs in rock resulted from the existence of bedrock (schistose gneiss) at reasonable depths generally in the north and northwest

Jan 1, 1997

By James J. Fallen

In this paper we are going to look at some things that may happen to the industrial minerals industry in the next decade. First, some concepts and definitions. What are industrial minerals? Not everyone agrees on an answer to this. So let's look at some of the opinions. Some say that industrial minerals are non-metallic minerals. As you well know, metallic minerals are used as a source material for metals. Copper, lead, and zinc are extracted from metallic minerals. But, some metallic minerals are also used for other reasons. Bauxite is used as a source of alumina and aluminum. It is also used as proppant in well drilling, as an abrasive, as a refractory material, and as a source of aluminum-based chemicals. So bauxite is both metallic and nonmetallic. There are other examples, too. Bastnasite is a source of rare earth metals and alloys but its concentrate is used in fluid cracking catalysts. Phosphate rock is an industrial mineral when used for fertilizer, but it is also the source of phosphorus. Ilmenite and rutile are sources for titanium dioxide pigments as well as titanium. So the nonmetallic designation is not adequate to define industrial minerals. Some say industrial minerals are called such because they are consumed in industry. How about your cat's litter box? Is that industry? Huge amounts of montmorillonite, attapulgite and other sorbtive minerals are pelletized and calcined to make animal litter. Doctors are trying to get people to cut down on their salt consumption. They are against people eating industrial minerals. When diamonds are a girl's best friend, they are not industrial minerals; when they are grinding and polishing media, they are. These examples show that industrial minerals are not exclusive to industry. Regardless, here is my list of industrial minerals: Abrasive Materials - Bentonite Antimony (Oxide) - Borates Asbestos - Calcium Carbonate Attapulgite - Diatomite Ball Clay - Dolomite Barite - Feldspar Bauxite (and Alumina) - Fire Clay Fluorspar - Pyrophyllite Fuller's Earth - Rare Earths Graphite - Salt Gypsum - Sand and Gravel Kaolin - Silica Sand Kyanite - Soda Ash Limestone - Sodium Sulfate Magnesite - Spodumene (Lithium) Magnetite - Sulfur Mica - Talc Nepheline Syenite - Titanium Dioxide Perlite - Vermiculite Phosphates - Wollastonite Potash - Zeolites Pumice There is some overlapping. Fuller's Earth takes in some attapulgite, bentonite, and other minerals, depending on the market. Some would like to distinguish industrial minerals by the market emphasis they receive compared to fuels, metallics, and precious metals. But even there, strict logic fails. Some industrial minerals are commodities. They are sold on a price basis against industry product specs, usually in large volumes. Phosphate rock, potash, sulfur, salt, soda ash, and other materials fit this category. Some are almost custom-designed for end-use and meet performance specs. These are sometimes called functional or specialty industrial minerals. Examples of these are ground calcium carbonate, water-washed kaolin, cosmetic grade talc, filtration grades of diatomite, perlite, and vermiculite. To determine prospects for the decade ahead, regardless of our

Jan 8, 1984

By Alfred Petrick, Roger Dewey

INTRODUCTION Estimation of capital and operating costs for mines and mills has long been a necessary ingredient of feasibility studies, and though many practitioners have successfully used "rules of thumb" and factor estimating methods for many years, a great deal of work is usually required to prepare an initial estimate and/or to update or revise such an estimate. Development of comprehensive mining and milling cost models during the 1970's by the U.S. Bureau of Mines and by Canadian workers (O'Hara and Mullar) provided the basis for feasibility-level cost estimates, but the numerous equations and the apparent rigor and complexity involved in preparing a project estimate using these models has discouraged many, if not most, potential users. Their acceptance was also hindered by a broad misunderstanding by many engineers in the minerals industries who had little exposure to such procedures, and by a possibly inadequate level of explanation or documentation of the parametric approach to cost estimating. The preliminary nature of most databases, geologic/engineering/ and market, available to the engineer or analyst during the early stages of a mineral project is a universal problem. Basing corporate mega-investment decisions or even individual equipment selection decisions on the usual "SWAG’s has always been a risky practice, but in the current business environment, the "guesstimates" are almost 'verboten', and are certainly becoming antiquated with the advent of both the described models, the ubiquitous microcomputer, and the nearly-ubiquitous hybrid species known as the "computerized engineer". Engineers have almost always sought techniques of cost estimation that can be applied and justified when geologic and engineering information for a mining project is preliminary and incomplete. The answer, in some cases, is the "parametric" approach. Equations, based on actual, past experience are developed to relate capital and operating costs to major physical variables such as the rate of mining or milling, with modifiers for such details as mining method, process characteristics, methods of construction, or types of equipment . Cost Engineering Standards Five major types of fixed capital cost estimates have been defined by the American Association of Cost Engineers : 1. Order-of-Magnitude estimate based on previous cost data and minimal knowledge. usually a "ratio estimate" with no better than +/- 30% accuracy. 2. Factored or ratio estimate based on major equipment costs with probable accuracy in the 25 to 30% range. 3. Budget authorization or Preliminary estimate, based on sufficient project data to

Jan 1, 1987

By Karl J. Ellefsen

A geophysical investigation can provide valuable geologic information needed to characterize sand-and- gravel deposits and can be an attractive complement to more common characterization methods such as drilling. Although such investigations have been conducted already, a comparison of the different geophysical methods used in these investigations apparently has never been done. For this reason, a study was initiated by the Mineral Resources Program of the U.S. Geological Survey to determine the advantages and the limitations of different geophysical methods when used to evaluate alluvial sand-and-gravel deposits. The study is focused on those geophysical methods that are commonly available, because these are most likely to be used by industry. Furthermore, the study is focused on surface geophysical methods. Heretofore, four different methods have been evaluated. Three of the four methods-time-domain electro-magnetic (TEM) soundings, frequency-domain electro-magnetic profiling, DC-resistivity soundings-are similar in that they all measure the electrical resistivity of the ground with depth. Ground-penetrating radar, however, maps changes in the dielectric permittivity and for the electrical resistivity with depth. For all, four methods, the objective is to relate the measured physical quantity to the stratigraphy of the alluvial sediments.

Jan 1, 1999

By Frank Littlewood

Research over a period of ten years resulted in the development of an efficient automatic ore feed regulator for mill grinding circuits. The facilities that a large mining company gave the inventor made it possible to develop the control apparatus under actual mill operating conditions. The Littlewood Regulator automatically determines the optimum power input at which a mill should operate, and controls the rate of ore feed to maintain this optimum power for any predetermined operating conditions. It is to be noted that the optimum power varies with many factors such as ball, rod, and mill liner wear, therefore the regulator is designed to automaticall keep itself properly calibrated. To efficiently control the rate of ore feed of a mill grinding circuit the regulator analyzes and interprets all power changes of the mill motor. The critical electrical measurements for this type of control are made possible by a patented device that has the ability to detect and integrate minute changes in power. In ball mill operation the small but significant changes in power serve to select the rate of ore feed in accordance with the rate at which ore accumulation takes place within the mill, and in rod mill operation they serve to select the rate of ore feed in accordance with the degree of rod spread.

Jan 1, 1970

By R. S. Mateer

Linear programming on desktop computers is commonly used to optimize coal blending proportions. The objective function is usually the cost of the blend. The constraints consist of materials and heat balances as expressed as linear functions of the blend. This is illustrated in Example 1. Inclusion of a sulfur compliance constraint in more complex because the maximum permitted sulfur percentage is not a pre-specified constant. Rather, it is a function of the calorific power of the blend itself. The current limit of 1.2 pounds of sulfur dioxide per million Btu may be expressed as: [Sulfur Max%= 0.6 . Hl10,OOO with H in Btu/lb.] A proper constraint equation may be formed by defining for each coal a function that is the difference between the actual sulfur percentage and the maximum sulfur percentage. This may be regarded us an excess sulfur percentage. For Coal A of Example 1. this would be: [ Sulfur Excess%=0.5-0.6 13,000/10,000=-0.28] This value would be used as the coefficient of the weight proportions of this coal in the blend. The complete constraint equation would then be the sum of such terms for each coal set less than or equal to zero. This is illustrated in Example II. [ ]

Jan 1, 1995