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By S. Tuylu, D. Adiguzel, A. Bascetin

"Optimization techniques are successfully used in many different fields such as engineering, physics, economy, and politics in order to enhance the performance of the systems. In concrete technology, Aggregates are prepared by mixing the water and cement in proportional quantities. In order to obtain desired quality control parameters, the determination of the ingredients ratios is one of the important problems for the optimization. Additionally, in the quarries where the aggregate quality constantly changes, blending optimization must be made to obtain a sustainable aggregate quality. This study showed that linear programming, which is easy and which includes many aggregate properties, cannot be used in terms of some aggregate properties. Therefore techniques such as nonlinear programming or genetic algorithm must be used. INTRODUCTION Concrete is a used construction material and made by mixing the aggregate, cement, and water. The concrete properties are directly related to the properties of these materials in blending. The quantity of aggregates in concrete is approximately 70 percent of the concrete’s volume. Therefore, the most important material is aggregates. The extraction of aggregate materials in quarries is more problematic because of variable bedrock properties. Therefore, the quality of the materials changes and the characteristics of the concrete are also influenced directly. In terms of sustainable use of natural resources, produced aggregate materials which have different qualities should be used optimally (Adiguzel et al., 2014). Nowadays, in the solution of the blending optimization, various optimization techniques are being used such as linear programming, nonlinear programming, and genetic algorithm. In this study, blending optimization techniques especially used for concrete aggregates blending have been summarized, and the advantages and disadvantages of these techniques have been introduced. BLENDING PROBLEMS Blending is a frequently encountered problem in process-type manufacturing such as mining, refinery, food industry, chemical industry and metal industry (Sakalli 2010). Blending is a commonly used method in lots of practical solutions (Sarker and Newton 2008). Several optimization techniques are available for blending problems (Furman and Pardalos 2009). The most important issue is to blend with minimum cost. The blending problem is a special linear model which was developed to solve this problem. In blending optimization research, linear programming is a widely used method (Adiguzel et al. 2011; Bascetin and Adiguzel 2011)."

Jan 1, 2016

By L. B. Anderson, G. A. Carmody

We wish to comment on the paper by G.W. Heunisch (MINING ENGINEERING, January 1987), which raised several important points regarding treatment of acidic waste waters. This paper confirms, in part, tests carried out by Allyn Corp. Allyn is the manufacturer of the proprietary product Alka-Ment, one of the materials that Heunisch tested. The first point is the extreme sensitivity of the sedimentation rate on the nature of the treatment material used. This apparently results from differences in nucleation of the metal hydroxides, and is consistently higher for Alka-Ment. This decreased sludge volume is also observed when Alka-Ment is combined with flocculants, such as organic polymers (see Table 1). Our second point is to emphasize that Heunisch's work shows how dependent the sludge volume is on pH. It is common practice to overtreat AMD by raising pH to 9 or 10. This practice, in addition to being wasteful of material, actually decreases the density of the resulting sludge, probably by creating charged particles that do not readily coalesce. When treating with Alka-Ment, we recommend that the treatment be monitored by testing both pH and dissolved iron. For both tests, it is important to allow adequate time to elapse between treatment and measurement, so that dissolution of alkali, aerobic oxidation of iron, and precipitation of the metal hydroxides are nearly complete. Our tests have indicated that from 30 minutes to one hour is commonly required. Only in this way can a minimum pH be attained, with adequate treatment, denser sludge, and lower treatment rates achieved. Thirdly, Heunisch correctly recognizes that ASTM titration of Alka-Ment does not reflect the true treatment value available in a unit of Alka-Ment. Our work at Allyn indicates this is a most important consideration when evaluating various materials for the treatment of acidic waste waters. While we were unaware of Mr. Heunisch's work, we welcome comparisons between Alka-Ment and any competitive products readily available for field use. Allyn has hundreds of hours of laboratory and field data we are ready to share with interested parties treating acidic waste water.

Jan 1, 1988

By Pan Eimon

She was young, beautiful, intelligent, virgin. Her name was Barbara and she captured the attention of many men, especially those in dangerous occupations. Her rich and doting father was hopeful of making an advantageous marriage for his daughter. Instead, she defied him, became a Christian, and refused to marry. Traumatized, he killed her and was himself struck dead by lightning. That is not the plot of a new soap opera. It is the melodramatic story of a Turkish teenager who was martyred in the third century but lives still as patron saint of mining. The story begins with a 20th century fact. Santa Barbara is a figment of imagination - perhaps based on an early oriental folk heroine, embroidered by a seventh century storyteller, and reworked by a ninth century Greek martyrologist. The authoritative Lives of the Saints reports: "There is ... Considerable doubt about the existence of a virgin martyr called Barbara and it is quite certain that her legend is spurious. There is no mention of her in the earlier martyrologies, her legend is not older than the seventh century, and her cult did not spread until the ninth." The Catholic Dictionary adds that the Barbara story is probably "a pious legend." Widely revered Santa Barbara was one of the most widely venerated saints of the Middle Ages. She became the patron, not only to miners, but also to artillerymen, engineers, architects, builders, stonemasons, gravediggers, and sailors. Mines, mountains, churches, and places bear her name. Barbara's feast day, Dec. 4, appears on the most ancient holy day calendars. And a Barbara festival is still celebrated throughout central Europe, in Spain, and in mining areas of Latin America on that date. The Pacific coast channel, the city, and the mission of California are named for Santa Barbara. An expedition, sailing that coast under Viscaino in 1602, was saved from shipwreck on Dec. 4 after the sailors prayed for Barbara's intervention. Franciscans gave her name to the modern Franciscan Province of Santa Barbara, which embraces six western states and the Philippine Islands. Barbara is intimately entwined with mining. The origins of both saint and profession are lost in an-

Jan 11, 1985

By Patzen Wu

The Hai-Shan No. 1 Coal Mine, located in northern Taiwan, is one of the typical coal mines on the island which, limited by natural condition, are mostly small in scale. With the advancing longwall method, the mine is now winning a seam, 80 cm thick, at a 32° dip, with a working depth of 824 m below surface. The annual output is about 50,000 mt of clean coal. At the working gallery, the virgin rock temperature may go up to 46°C, difficult to be brought dam to n acceptable level: because .of the tropical climate with high intake temperature and high humidity. Besides, at this depth, the intake air that goes down the long inclined shaft generates considerable heat due to autocompression. The mine is ventilated by a set of axial-flow fan with 38 m3/S of intake air at 2.2 KPA WG. With this volume of air, the temperature at the working-face is usually above 30°C WB. Appreciable lowering of the temperature is not expected even with an increased volume of ventilated air. For this reason, decision has. been made to try the installation of a pilot underground refrigeration unit near. the lowest gate road to cool the intake. air. from 32°C WB to 28°C WB which seems acceptable to on-the-spot workers exerting heavy physical labor. The experimental unit is designed for carrying away a total heat load of 90 Kw. The capacity of the unit is 200 Kw. The unit consists of a compressor, an evaporator, a condensor and a motor. The heat rejection is done in a cooling tower. Chilled water is circulated from the evaporator to the cooler by insulated pipes. The cooler consists of 90 Kw-coils with two fans and forces air by flexible ducting onto the working face. This paper examines mainly the effect of this additional reduction of working temperature, on working efficiency of the workers. Another aspect of this experiment is to evaluate the overall economy of underground refrigeration in small-sized coal mines under tropical condition. The success of such an experiment may lead to wider application of refrigeration to render many of the deeper mines economically workable.

Jan 1, 1980

By C. W. Schultz

The Mineral Resources Institute at The University of Alabama is engaged in a program whose objective is to develop a beneficiation system for Eastern oil shales. Prior experience (1,2) at The University had shown that the grind required for liberation of the oil rich kerogen was substantially below 20~m. Based on this fact and the rapidly emerging consensus that column flotation is the preferred method for ultrafine particle separation, efforts were focused on the column flotation of oil shale. This paper, which must be regarded as a progress report on a continuing MRI project, describes the observations made and the results achieved to date. The investigation is being conducted in two phases. The first phase has been completed and consisted of a factorially designed experiment conducted for the purpose of screening a set of primary flotation variables. The second phase, which is still in progress, is focused on optimization of the operating conditions and development of a flowsheet for specific shales.

Jan 1, 1989

By Wendell H. Nielson

Flotation processes contain disturbances which make material balance closures difficult to achieve. Lack of closure also arises from instrument errors. A portion of these problems can be overcome by proper equipment selection; the primary measurement installation and methods of initial data filtering are discussed below. The problem of data adjustment has been considered before (2). The technique described here is essentially that of Ripps (2). The technique was expanded to include linearization of non-linear material balance equations. An additional large error detection portion was also added to Ripp's formulation. Ripp's technique is based on a Lagrange-Multiplier optimization method. The Lagrange-Multiplier technique is generally applied when there are equality constraints on the variables. Steady-state material balance equations fit in this category. The basic Lagrange-Multiplier method is described. It is followed by a description of the modified material balance data adjustment technique. An example is presented to illustrate the use of this method.

Jan 1, 1970

By Ramkrishna Agarwal

A low grade iron ore is mined underground at Grace Mine using the panel caving method. Most of the development work is located in footwall. The runways for LHD equipments are heavily supported with steel sets on five foot centers. The sets are embedded in two to three feet of concrete. The initial cost of support is one of the largest single costs of production. During the process of ore-win¬ning, supports frequently fail, necessitating expensive repair. There is no systematic pattern to the failure of supports. A rock mechanics program was launched to isolate causes and their relative contributions to the failure of supports. The preliminary results are presented. A typical portion of a runway is instrumented to monitor rock mass movements around the runway and the corresponding response of supports as various mining activities are carried out in the neighborhood. We believe that such a program is a prerequisite to any remedial measure to alleviate pressure problem at Grace Mine.

Jan 1, 1973

By V. V. Ershov

Mining geometrical graphic documentation is employed on a large scale in designing and planning of mining operations at all the stages of exploitation. Mining geometrical modelling of mineral grade distribution presents an independent type of mathematical (graphic) modelling. The idea of functional relationship between geological indices being observed, and spicier coordinates is the basis of traditional mining geometrical modelling. Graphic presentation of three independent variables P =f (x,y,z) is confined to obtaining the series of two independent variables functions. Independent variables are presented as topographic surfaces corresponding to plane cross-sections of a deposit. During exploitation of certain parts of a deposit the most reliable geological information is obtained, characterizing regularities of ore distribution in the entrails. This information is, though, not taken into account in goemetrization of the new areas. In this connection dynamic modelling of deposits in the process of exploitation is necessary, i.e. geometrization of the deposits should be dynamic.

Jan 1, 1986

By M. Rossi

The use of service variables in geostatistics (grade-thickness) is common in industry when developing block grade models and geologic resource estimates. This is particularly true in the case of sedimentary and stratabound-type deposits. The approach has proven merits when assessing ore reserves. However, there are cases where its application for preliminary data analysis produces biased estimates. One such case is encountered in uranium disequilibrium studies. This paper demonstrates the inadequacy of service variables when performing uranium disequilibrium studies. Disequilibrium analysis is a necessary preprocessing step when radiation counts are used as raw data to calculate uranium reserves. Typically, a probe is used to obtain the gamma counts from open drill holes. These counts are then regressed (and corrected) against chemical assays obtained from core samples. During this process the grade-thickness variable produces an optimistic image of the relationship between probe grades and chemical (true) grades, causing overestimation of the final geologic resource. The problem is analyzed through a case study.

Jan 1, 1993

By H. Zhu, A. G. Journel

Qualitative and interpretive information as obtained from geological and/or geophysical studies, in addition to precise measurement, is incorporated into the estimation process through an indicator variable. The indicator conditioned estimator is formulated as a cokriging, and its expression is data value dependent as opposed to that of the traditional kriging estimators. The solution of the dual cokriging system provides simultaneously an estimate of the unknown and an estimate of the conditional probability that the unknown belongs to a specific population or class. Being an unbiased and minimum-error-variance estimator by construction, the indicator conditioned estimator is better in the least square sense than the ordinary kriging estimator because it uses additional information carried by the indicator data. A case study using a large reference database is presented; the indicator conditioned estimates have a smaller conditional bias and a smaller error variance than the ordinary kriging estimates. The results also showed that the indicator conditioned estimator is more efficient for selection in mining.

Jan 1, 1990

By F. Vincent, A. Boulet, M. Noaparast, F. Woodcock, A. R. Laplante

A novel methodology to estimate gold recovery by gravity is presented. It makes use of a population balance model which represents gold liberation, breakage and classification behaviour and applies pre-concentration and recovery data to gravity recoverable gold (GRG) to predict overall recovery. The methodology is designed for gravity circuits located in the circulating load of secondary grinding mills. Gold liberation is estimated by processing a sample of representative ore with a laboratory Knelson Concentrator (LKC) in three successive steps, each at a finer grind than the previous one. Breakage behaviour is represented by a matrix H, which redistributes GRG in the feed of the secondary mill in the various size classes of its discharge. Provision is also made to account for gold overgrinding, which decreases the overall amount of GRG. Classification, pre-concentration and recovery data are estimated from plant performance, and are represented by the diagonal matrices C, P and R. The methodology is demonstrated with case studies of greenfield, retrofit and optimization applications.

Jan 1, 1995

By John S. F. Dunlop

One of the more difficult problems frequently facing geologists and mining engineers is that of estimating the ore reserves of mineral deposits. Cost conscious mining operations invariably require an accurate knowledge of tonnage and grade for both short and long term planning. A case study is presented, showing how a classical frequency distribution was fitted to a population of drillhole assays. Using these results, a grade- tonnage curve is derived using the Lasky expressions, and the results discussed. A geostatistical analysis is then presented. First, variograms are drawn, models fitted to them and analyses made of drift and anisotropy. Second, simple block kriging is carried out and the results plotted on large 1000 scale plans, suitable for overlay with routine .mine plans. Kriging results are verified using two independent techniques: random kriging on a regular grid and inverse distance weighting. Finally an attempt is made to optimize the drilling grid, and to fully tabulate the total computer running costs for the work described.

Jan 1, 1979

By Rob McIvor, Joe Keating, Gary Simmons

As more complex ores are processed, finer grinding becomes more necessary. A cross section of several industries will be presented with discussions not only of find grinding issues but also the classification of fine particles. JOHN MANSANTI: Our next topic will be fine grinding. Again, the intent is to present a topic that is generic enough to apply to multiple industries. Our first speaker is Gary Simmons. Gary is filling in for Phil Walker from Twin Creeks. Phil was not able to join us this week, because of some issues they're having with the autoclave. Gary, being involved in the development phase, is very familiar with the topic. Gary spent about three years with American Cyanamid and another four years with Noranda. He also spent some time with Meridian Gold, then became the director of metallurgy with Santa Fe Pacific Gold. He spent seven years there and is presently the director of process technology with Newmont Gold.

Jan 1, 1998

By Paul Clifford

The Florida Institute of Phosphate Research (FIPR) is an independent, state of Florida research agency. It was created in 1978 to conduct research to enhance the competitiveness of the Florida phosphate industry. The institute also conducts research to prevent, minimize or rectify environmental impacts caused by the industry. And it helps educate the public concerning phosphate-related technology and issues. FIPR is funded by a severance tax on the industry and is governed by a five-member board of directors appointed by the governor. FIPR's research is playing a role in enhancing the competitiveness of the Florida phosphate industry. Its technology research program seeks to improve surface mining and pipeline transportation while reducing the energy cost for pumping phosphate matrix. It is developing new and improved methods of beneficiation and fertilizer production. This includes new process flowsheets and on-line analyzers and process control methods. FIPR is also developing uses for the phosphogypsum byproduct of phosphoric acid production and evaluating the risks associated with its uses.

Jan 1, 1998

By Gregory E. Klosterman

American Aggregates Corporation is one of the leading producers of mineral aggregates in the nation. Production is from deposits of glacial sand and gravel and limestone and dolomite bedrock. Annual production from 33 plants is 25,000,000 tons. Land consumption is at the rate of 300 to 400 acres annually. This annual rate of consumption presents a continuing challenge to the exploration and mining personnel to meet the requirements of reserve replacement, mining and land rehabilitation.

Jan 1, 1974

By D. Erik Spiller

A commercialized dry gravity concentrator is operating on an alluvial gold deposit in the Boludo Mining District, State of Sonora, Mexico. The technology base of the process is the Rotary Air Concentrator (a dry circular air jig) that recovers gold from the desert sand resource. An overview of the Mexican operation and the dry concentration technology is presented. Application of the dry technology to pretreat­ment of heap leach feeds and other heavy minerals is a pos­sibility.

Jan 1, 2000

By L. G. Austin

The data of Dunn and Martin (1978) is reanalyzed using a rigorous application of Hertzian theory to the impact process. The Young's modulus of steel required to fit their data to the theory is a factor of about 10 3, too low compared to the values quoted for steels. Thus, doubt is thrown on the validity of their experimental technique, and it is possible that their values for maximum impact force and stress are far too low.

Jan 1, 2002

By R. D. Rein

The Henderson mine is a large continuous panel caving operation in central Colorado. The orebody is roughly 760 m by 910 m and will be extracted from two production levels. Each level is divided into three north - south panels 244 m to 317 m wide. The general arrangement of a production level and its associated undercut drifts is shown in Figure 1. The production drifts (3.6 m by 3.7 m) are spaced 24 m apart center to center and have undercut drifts (3.4 m by 3.8 m) 17 m directly above them. The production drifts are interconnected with drawpoint crosscuts (4 m by 4.3 m) driven on 12 m centers. Drawpoint crosscuts receive substantial brow steel and concrete support prior to undercutting. The brow steel is a 15 cm by 46 cm wide flange beam with a 2.5 cm wear plate to box in the 'cave' side of the beam. The concrete is a minimum of 0.3 m thick and the batch design results in 27 500 kPa strength. The finished drawpoint opening is 3.7 m by 3.2 m with a choke area of 3.7 m by 2.4 m. (Figure la) Undercutting and bell formation is accomplished by blasting rings of 7.6 cm holes drilled from the undercut drifts. The rings have a burden of 2.0 m and six rings develop one complete bell.

Jan 1, 1985

By Gerry Norton

The overall economics of a coal production unit are governed by a number of interdependent parameters which individually and collectively affect the final result. A business judgement is measured through return on investment considerations and in this respect, a sensitivity analysis proves useful. Figures 1 and 2 show how the various parameters affect return on investment through unfavourable change from planned or expected values. In the case of metallurgical coals, the selling price negotiated is the primary and most sensitive variable, followed by transportation, clean coal yield and capital funds invested in mining. It is clear that coal preparation plant capital and operating costs are the least sensitive to R.O.I. For energy coals, the selling price is determined by heat energy content (x cents per million BTU's) and is therefore not con¬sidered as an interdependent variable. In this case, transportation cost is the major primary factor affecting the level of income. Again the amount of saleable clean coal or total yield has a major effect on return on investment. Most of the factors considered in Figures 1 and 2 are fixed and unfavorable change from planned values becomes critical but clean coal yield is to a great extent controllable during actual operations. Once the theoretical yield for a particular coal has been determined, the optimum return is achieved by approaching this theoretical yield as nearly as possible in practical commercial operation.

Jan 1, 1975

By G. Le Bel

Discussion by G. Le Bel The paper proposes three methods to determine optimum lifetime of a mining project 1. The conclusion is that the three methods arrive at the same optimum production rate (by coincidence). It is also stated that: "The stochastic and option pricing models, in addition to providing a more realistic optimum mine life than the traditional NPV (net present value) calculation, showed that the example project has the potential for substantially higher return. By explicitly considering a project's potential risks, the stochastic or option pricing techniques can more accurately describe its probable investment performance." This discussion is intended to demonstrate that: •It is no coincidence that the three methods arrive at the same optimum production rate. • The stochastic and option pricing models do not provide a more realistic optimum mine life than the traditional NPV calculation. •The potential for a substantially higher return is misrepresented. First, a review of investment decision theory in mining is needed. Net present value is the preferred performance measure because of the flexibility offered when comparing various alternatives. However, it presents the following disadvantages: • The discount rate selection is not straightforward. • The NPV obtained represents a deterministic characterization of the variables included in the cash flow calculations, i.e. a single-point estimate. Discount rate selection The opportunity cost of capital represents the rate of return that would be obtained if the capital was instead invested in other opportunities considered to exist. Such opportunities must be bypassed if the available capital is invested in the project studied 2. If these other opportunities carry risk similar to the project under analysis (for example, if they are other mining projects), there is no need to add incremental [ ] risk factors. On the other hand, if these opportunities are represented by the acquisition of government bonds yielding 7%, a risk premium factor must be included. The types of risks associated with a mining venture are shown in Table 1. Together they represent the "business risk" of being a mining company. The individual project risk is important to investors if it differs substantially from the business risk of the company and that of the other investments in mining ventures that we must pass up to invest in this particular project. A risk premium or discount would then be required. This can be illustrated by the following example. Consider that a company has two investment alternatives: one is the Cavender hypothetical project located in Nevada, and the other is the same project located in a civil war zone of central Europe. The second project requires a risk premium factor on the discount rate. Conversely, a project showing highly uncertain returns that are negatively correlated with the returns of the firm's other assets may decrease the company's corporate risk. Deterministic character of NPV calculation The cash flows used in NPV calculations are obtained from a set of variables. These variables are estimated using one parameter obtained from the engineering studies. Each parameter is thus a single value that is often termed a "realistic" or "best estimate" as opposed to "optimistic" or "pessimistic." However, considering that each variable can assume a range of values between the

Jan 1, 1994