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By B. Ball, D. W. Fuerstenau, P. C. Kapur

A two-phase distributed-parameter model of the flotation process has been extended to allow consideration of the important process parameter, concentrate grade. A simple expression is presented for the grade of concentrate in terms of the zeroth and first moments of the concentrate distribution. An example is given for a binary ore containing two pure minerals each having nondistributed rate constants. For extend-ing the model to the distributed rate constant case, a cubic polynomial zoas utilized to simulate the feed distribution. One particular example is considered and grade-recovery curves are generated to show the dependence of such curves on the initial feed distribution. Operating flotation plant engineers have traditionally evaluated plant performance in terms of the recovery of valuable mineral and the grade of the concentrate. In both operation and research, grade-recovery relationships have been used as a guide for selecting flotation conditions. Weissl illustrated the use of grade-recovery curves in plant operation and considered the grade-recovery relationship to be a metallurgical one. The extensive experimental work of Chi" using standard batch flotation tests on iron ores shows that, even with extensive statistical correlation of data, little insight can be gained into the basic fundamentals of these relations. Such relations must depend on the kinetic behavior of the various mineral species in the flotation circuit. In his flotation text book, Gaudin3 considered the relationship of recovery and of product grade to flotation kinetic indices, but he did not extend his calculations to yield grade-recovery relations. Although Gaudin used a simplistic model for his analysis, he did recognize that variations in flotation rates must result from variations in locking, surface heterogeneity, particle size and shape, among other things. In a recent paper,' we presented a model of the flotation process that could be readily analyzed with an analog computer. This model combines the concept of a distributed set of rate constants"" with that of the two-phase flotation model,8" resulting in a model more powerful and flexible than previous ones. The purpose of the present paper is to show how this model can be used to generate grade-recovery curves and to determine the dependence of such curves on the various kinetic parameters. In this paper, the model will be limited to the semi-batch case, but extension to the continuous case is a straightforward step.

Jan 1, 1971

By William G. Pariseau

A plasticity theory for anisotropic geologic media has been applied to the problem of quasi-static wedge penetration of rock under confining pressure. Numerical evaluation of the governing system of stress equations in the transversely isotropic and orthotropic cases using representative material properties shows that the consequences of initial anisotropy for the penetration process are by no means trivial. In the transversely isotropic case, a threefold increase in the vertical force required for penetration to a unit depth occurs as the inclination of the axes of anisotropy are rotated through 90° with respect to the penetration path. The horizontal force required varies from zero to a maximum at approximately 60° then back to zero as the axes of anisotropy are rotated. The maximum is of the order of magnitude of the force required in the isotropic case. Similar results are observed in the orthotropic case. Practical aspects of the post-elastic phenomena associated with anisotropic rock indentation within the context of drilling problems include: bit yaw, hole deviation and bending stresses in the drill rod, all of which vary with strata dip but which can be quantitatively evaluated given the bit geometry, interface friction and rock properties. In a broader context, the analysis reveals the necessity for well conceived experimental work and sound theoretical research concerning post-elastic behavior of geologic media as a function of confining pressure, the effects of induced anisotropy, and the variation of strength parameters with loading path changes in the post-elastic range.

Jan 1, 1971

By John V. Beall

Dear J. B.: The recent cable I sent you for a transfer of $200,000 was the outcome of the diligence and perspicacity of our group which, as you know, is laboring under severe hardships here in Rondônia. I only mention the latter difficulties in passing because no reply has been received to our urgent appeal for money. As much as I detest appearing to plead for more attention than you feel called upon to pay to our forgotten mission, I can assure you that it would be in the best interest of the company for you to do so. The fact is, we have been able to outmaneuver the competition and have succeeded in securing pesquizas on some of the most promising cassiterite gravels. We have not been able, up to now, to do much bulk sampling (for lack of funds) but our preliminary panning shows great promise as you can see from the enclosed assay sheets.

Jan 1, 1971

By John V. Beall

They came from Paris, Washington and Rabat; two directors, two chief geologists and the president of our own local subsidiary company. Such a meeting was not unprecedented, but it seeemed to us that our president was overzealous in arranging for inspections of each exploration site. One was a problem. Jacques, our president, had concocted the idea that we should lead this learned, mature (not exactly aged) group into the desert to see newly found anomaly. It was in virgin country and had been marked by dropping a flour sack on it from the air.

Jan 1, 1971

By Freeman Bishop

Elburt F. Osborn's scholarly look doesn't prevent his keen insight into human beings and practical affairs of the world from coming through strong and clear, as it did in an exclusive interview with this reporter a half-hour after Dr. Osborn was sworn in as director of Interior's Bureau of Mines. An internationally recognized authority on geology and mineral resource development, Dr. Osborn won his Ph.D. at the California Institute of Technology. Since 1959, he has been vice president for research at Pennsylvania State University, where he originally joined the staff as professor of geochemistry in 1946 and also served for six years as dean of the College of Mineral Industries.

Jan 1, 1971

By A. H. Jones, J Leasia, S. J. Green, R. D. Perkins

Previously, two groups have conducted studies in order to define the influences of the intermediate principal stress. Mogi studied biaxial compression on prisms of Dunham dolomite and concluded that the intermediate principal stress should be taken into account. His study showed that failure strength increases with increasing [02], but less than the strength increase with increasing confining pressure. Handin, Heard, and Mogouirk's study on cylinders of Solenhofen limestone in torsion also found that the strength depends on the magnitude of [02]. More recent investigations by Mogi varying all three principal stresses independently and by Wawersik varying two of the principal stresses independently provide more detailed data confirming the effect of [02] on failure. All these tests were at low strain rates, and only the work of Wawersik reports measurement of all strains. The investigation here measures axial and transverse strains and included uniaxial and triaxial stress compression tests and biaxial stress tests using tubular samples (axial load and internal or external fluid pressure) at strain rates to 103/sec to provide the stress-strain response and to define the maximum stress or yield locus of Solenhofen limestone and Westerly granite.

Jan 1, 1971

By Frederick J. McGarry, Parviz F. Rad

Although tunneling machines have attained very high advance rates in medium-hard rocks, the need for frequent repairs has slowed their use in very hard rocks. Laser- assisted tunneling is expected to improve tunneling machine performance by improving either specific energy or amount and quality of muck. The beneficial effects of lasing are the initiation and growth of microcracks from differential thermal expansion of grains, and overall spalling in the vicinity of the lased area. Using a constant thrust rock cutting device with disk cutters, the effects of cutter geometry, cutter diameter, thrust, and speed variations on specific energy and muck were explored and the improvement in performance of disk cutters caused by lasing was evaluated. It was found that the improvement depends on beam power and density, beam speed, pattern of heating, and cutting pattern and procedure. A focused beam slightly offset from the cutter path gives the most improvement both when cutting on a smooth surface and when cutting in previously cut grooves.

Jan 1, 1971

By Richard L. Gordon, Charles J. Johnson

Electric power demand doubles about every ten years, and because of the associated burgeoning fuel requirements, power stations absorb over half of the coal output in the United States. Throughout the 1960's, demand for coal utilized to generate electricity grew at an average annual rate of 6.5% but coal producers held back greater expansion because they expected nuclear plants to proliferate faster than they actually did. Even so, the growth rate is expected to continue at the 1960's rate until at least 1976. The continuation of the 6.5% growth rate beyond 1976, however, will require additional orders for coal-fired plants during the early 1970's. In fact, plants consuming a total of 130 million tons of coal must be ordered in the next few years. If the requisite plants materialize, total 1980 coal output for electrical power generation will be approximately 600 million tons.

Jan 1, 1971

By J. J. K. Daemen, C. Fairhurst

Introduction The stress field around a supported tunnel can be considered as being composed of: i) the virgin (pre-mining) stress in the rock ii) the (elastic) change in this stress field caused by creating the opening iii) the (time-dependent ) change in the stress field produced by (i) and (ii) as a section of the rock breaks up iv) the (time-dependent) influence of the stress build-up in the support. Several authors have examined the conditions necessary to produce static equilibrium between the support, the rock, and the regional (in-situ) stress field. The analysis used by Labasse (1) is typical. Consider a circular tunnel radius R in a hydrostatic stress field (P), and a radial pressure pi exerted by the support. According to Labasse, the radius ‘b’ to which the rock will break* for a given support pressure, pi, can be calculated from: - the equilibrium equation: [ ] As a zone of broken rock develops around the opening, the stress circle for a point on the elastic-broken rock boundary moves to the right in the Mohr diagram until the radial stress in the broken zone s equal to the radial stress in the elastic zone.

Jan 1, 1971

By Bruce A. Kennedy

This is an opportune time to examine the disposition of practical rock mechanics in the mining industry. The rock mechanics world has put on steam with publication of a number of books and the organization of a large number of symposia and teaching seminars. SME has just published Stability ill Open Pit Mining. proceedings of a conference held In November 1970 in Vancouver, R.C. R book entitled Planning Open Pit Mines covering the entire range of open pit mining with emphasis on slope stability has just been published by the South African Institute of Mining and Metallurgy. The Thirteenth Symposium on Rock Mechanics was held at the University of Illinois. Urbana-Champaign, during the last week of August. The University of British Columbia's Division of Continuing Education is holding a symposium and specialty seminars on stability in open pit mining during the first week in November. A tremendous planning effort has started to organize the Tl3ii.d Congress of the International Society of Rock Mechanics in Denver in 1974. This meeting is held every four years in the country of origin of the president of the Society. This third congress comes to the U.S.A. with Leonard Obert of the 17. S Bureau of Mines as president of the Society. The previous two were held in Lisbon. Portugal and Belgrade. Yugoslavia.

Jan 1, 1971

By Freeman Bishop

Nothing has disturbed the copper- lead-zinc producers in recent years more than smelter tolerances set by some states. What hurt most, copper spokesmen told the Government, was the Government's own erroneous estimates of smelter pollution controls. Government charts indicated that 23 firms smelting copper, lead and zinc may need to invest about $108 million by fiscal 1976 to control stack emissions. The copper industry's independent study, however, indicates that the required controls could cost as much as $550 million to install and $200 million a year to operate.

Jan 1, 1971

By Donald R. Rathburn, Jung K. Mok

An historical review and a survey of current practice in the application of fine dry grinding in the iron ore industry are given. Both closed and open-circuit applications are reviewed, and the advantages, disadvantages, and process considerations for these two systems are discussed. The ground ore temperature rise, and the cool-ing of ground ore and mill ventilation are also discussed, along with the agglomerating characteristics of dry ground ore. Screening during the production of high-grade lump ore for blast-furnace burden, particularly from recently developed ore deposits in Australia, South America, and Africa, has resulted in large tonnages of fine iron ore. Certain owners have decided to stockpile these fines until some later date. Others have either sold these fines "as is" for agglomeration at the steel plant or have established their own pelletizing plants to produce a premium quality agglomerate. In almost all cases some grinding is required prior to pelletizing. Most of these ores occur in the weathered state which may result in difficulty in the thickening and/or filtering stages when ground in a wet system. The resulting filter cake would probably require partial drying to provide a product suitable for the subsequent balling operation; however the partial drying and subsequent material-handling steps often produce random agglomeration. Normally, these agglomerates will cause problems in the green ball formation process. Thus dry grinding has developed as a solution to this problem. Most of the dry iron ore grinding installations utilizing the standard-type rod or ball mill are grinding high-grade natural ores that do not require beneficiation. Although power consumed per ton of final product is 120% or greater in dry grinding as compared with wet grinding, the additional power required for dewatering and handling a wet ground product can easily exceed the initial power savings. Dry grinding of raw feed and clinker has been practiced in the cement industry for many decades but its major application to the iron ore industry has taken place only within the past ten years. The successful application of dry grinding to iron ore has required the solution of several unique design and operating problems. The purpose of this paper is to review recent developments in fine dry grinding of iron ore for pelletizing and to discuss the various designs and operating parameters involved.

Jan 1, 1971

Conservationists have launched an attack on the mining law of 1872, accusing it of permitting the min- ing industry to rob the public and despoil the environment while doing it. Michael McCloskey, executive director of the Sierra Club, and one who has made known his opposition to the law said, "environmentalists are unified in their agreement that repeal . . . is one of conservation's most urgent tasks . . . ." Charles H. Callahan, executive vice president of the National Audubon Society, paralleled McCloskey's sentiments, calling the law a "disgrace" and a "give-away." In his opening statement before the Senate Interior Committee, Chairman Henry M. Jackson (D-Wash.) said that legislation pending before the committee would put the hard rock minerals under a leasing system as is the case with oil and gas.

Jan 1, 1971

By Peter J. Huck, Madan M. Singh

IIT Research Institute has investigated the potential of high pressure water jets for rapid rock excavation. During this study, an attempt was made to correlate the extent of breakage effected to the mechanical properties of rocks. Six rock types were used in these experiments and nine properties were determined for each rock variety. A regression equation using the two most significant rock properties and one jet parameter (pressure) was established. Although tests were conducted to specific pressures of 35, no minimum in the specific energy consumption was noted.

Jan 1, 1971

Polluted air and water, despoiled land and excessive noise are the unwelcome results of the population growth and a rising standard of living. The consumption of goods and services, including metal products and minerals, by all people is increasing so rapidly that civilization is in danger of destroying the environment in which it lives. This is true because every human activity affects the environment, whether it is air, water or land. While E. F. Osborn, director, U.S. Bureau of Mines, says . . . "some members of the mineral industry are reluctant to recognize environmental demands" . . . William T. Pecora Under Secretary of the U.S. Department of the Interior.. . says that, "to maintain levels of resource development and environmental quality needed to satisfy our affluence, we must trade off values rather than turn off troublesome operations." What it seems to boil down to is how much control of its operations is the mineral industry willing to accept-internal policing or strict government control? The answer lies in how well the mineral industry maintains a balance between mineral development and environmental quality.

Jan 1, 1971

By Fred D. Rosi

Introduction There is probably no field in which materials research has played a greater role than that of electronics. However, to trace present and future patterns of materials research in electronics is not an easy assignment, since this industry has a high degree of dynamism in its growth, and is busily engaged today in the scientific improbabilities of only recent yesterdays. On the other hand, this task seems especially appropriate since electronics is a truly frontier industry - one whose place in American industries has advanced from 50th prior to World War II to 6th in 1967, with sales of more than $22 billion. And this growth has been associated with the equally rapid progress of science and technology over the period - in particular with the emergence of materials science as a vital force in underscoring this progress. For several reasons this parallel growth is not too surprising. First, by its very definition electronics is a science that essentially deals with the nature, behavior, detection, generation, control and utilization of electrons in solids or at their surfaces. Second, in the electronics industry, systems are made of an integration of components, and these components with their interconnections are made of materials. Thus, the basic building blocks of systems are materials; and it has been largely the advances in materials research and technology that have led to new and improved devices and systems. It follows, therefore, that the broadening of the frontiers in electronics through the exploration of new territories is tantamount to scientific discovery and materials innovation to a degree found in no other major industrial activity. But to put this in the proper perspective of present and future materials trends, it would be appropriate first to survey historically the progress in electronics by pointing out major scientific discoveries and associated materials research patterns that have led directly to its tremendous growth. Then from this base we can consider recent trends in materials research that could form the basis for future progress in the electronics industry. In my review I shall examine the areas most familiar to me, so I must acknowledge at the outset that this survey is not all-inclusive.

Jan 1, 1971

Reading Anthracite, like AIME, is celebrating its 100th anniversary. While Reading marks a century in the mining, preparation and marketing of domestic anthracite, AIME commemorates 100 years of parallel endeavor in promoting the economical production of minerals and metals and the welfare of those employed in the industries dedicated to this pursuit. Both Reading and AIME possess another common denominator, in that both were conceived in the eastern anthracite fields of Pennsylvania, where coal reigned supreme in the early days of mining.

Jan 1, 1971

By Morris A. Steinberg

Because of the broad scope of my topic I will discuss my subject from the point of view of a present status of the metallic materials that are used in structures and will dwell primarily on those structures related to high- performance aerospace systems. Thus, I can best portray the status of these structural materials as related to existing transportation systems, delineating some of the highlights of alloy development, fabrication, and properties obtained. I shall point out what are, in my opinion, the needed solutions to pressing unsolved metallurgical problems connected with certain selected metals: aluminum alloys, beryllium, titanium, steels, superalloys, refractory metals and some metal-matrix composites. Aluminum Alloys For a number of years a series of strong aluminum alloys used for airframes has had an important bearing on the development of minimum- weight, highly efficient structures. Among these alloys are such familiar ones as 2024-T3, 2014-T6, 7075-T6, 7079-T6 and 7178-T6. A review of the development and use of strong aluminum alloys in aircraft structures indicates that before about 25 years ago there was very little application of products other than forgings in the high-strength tempers produced by precipitation heat treating to T6- or T8-type tempers. 1 As stated by Dix in 1944, "There has been a gradual evolution in engineering viewpoint regarding the mechanical characteristics which are required in a structural material suitable for aircraft. Formerly, emphasis was placed on a generous spread between yield and tensile strengths, on elongation, on impact strength and on resistance to corrosion. Aircraft structural engineers still differ widely as to the importance which they attach to these proper tie.” 2 It is fair to say that this evolution is still taking place, that the problem is much the same in 1970 as in 1944 - except that strength levels have advanced some - and the question remains as to how far we can go in that direction. In the meantime, a new group of alloys has received acceptance and widespread use. The first alloy of this group, 7075-T6, was formally introduced by Dix's 1944 paper. The drastic changes that have taken place in the size and configuration of components employed in air-

Jan 1, 1971

By George B. Clark, John W. Brown, Hemendra N. Kalia, Ronald R. Rollins

A new theory for three dimensional collapse of conical liners shows why the two dimensional theory may offer a good approximation. Shaped charge design parameters and rock target properties were investigated to determine their effects on penetration and breakage. Penetration in dolomite is somewhat similar to that in steel, but copper does not have markedly better penetration capabilities than brass. Several metals, liner thicknesses, cone angles and standoff ranges for each were investigated. Effective standoff is greater for aluminum than more dense metals. Optimum geometry appears to approximate that for metal targets. Resistance to penetrations was greatest for a red granite and dense siliceous rocks, and least for dolomite and porous sandstone. Hardness and compressive strength appear to be two important conventional proper- ties. The first order law does not apply to the rocks tested. Dolomite may be drilled with shaped charges, the holes sprung and round blasted successfully.

Jan 1, 1971

By K. Thirumalai

Rock response to heating depends on properties of rock material and varies widely between different rock types. By dissipating energy, surface melting limits rapid heating and fragmentation of rocks achieved by surface heating methods. This study advances a concept of rock fragmentation by rapid internal heating of a localized inner volume of rock. The working of the method to achieve fragmentation of rocks (Charcoal granite and Dresser basalt) having poor response to surface heating is analyzed. Experimental data on elevated temperature rock properties required for the study are presented. Based on the properties of test rocks, a high frequency (50 MHz) dielectric heating method of generating localized internal heating was selected for experimental study. The test rocks were fragmented without melting under localized heating below 600ºC. The heated volume required for fragmentation was observed to be less than 2 percent of the test block volume. A practical application of the method for in situ fragmentation of rocks is suggested.

Jan 1, 1971