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By F. S. Knoll

GENERAL INTRODUCTION Electrostatic separation has found a number of applications since its initial installation as a processing method. Three broad types of electrostatic installations are discussed in order to provide a practical guide for three widely divergent uses of electrostatic separation. Only operating and installation data are covered in detail. A detailed technical treatment on the various types of electrostatic separation described in this paper can be found in the literature by F. S. Knoll, J. B. Taylor and J. E. Lawer.8, 9 ELECTROSTATIC SEPARATION OF IRON ORE: WABDSH MINES, CANADA Introduction Electrostatic roll-type separator technology which had been in use in various forms since the 1920's evolved in the late 1940's when this separation process was developed and applied to the extraction of titanium bearing minerals from beach sands by J. H. Carpenter. Equipment design and industrial flowsheets developed for the recovery of rutile and ilmenite found new application in iron ore by chance in the year, 1956. From the time of the first beach sands plant, Carpco had developed other technology, gravity and magnetic separation to better serve the beach sands industry. It was in the fall of 1956 that an iron ore producer from the upper Michigan Peninsula sent a sample of jaspilite (fine-grained specular hematite in a jasper matrix) to Carpco's laboratory for the purpose of determining if a new high-intensity magnetic separator would be beneficial. Process Development W. P. Dyrenforth, while presenting a paper on the subject in the fall of 1957, recounts the laboratory tests. "High-intensity magnetic separators have been employed (for the beneficiation of iron ore) with some success and are still being investigated. Magnetic separation is a natural field of investigation, since iron and magnetism have been almost synonymous since ancient times. As a matter of fact, when Carpco first began investigating the possibilities of upgrading specular hematite, the first thought was in terms of magnetic separation; and the second thought was in terms of gravimetric separation. It was found

Jan 1, 1986

By Brian E. Robertson

"This paper summarizes work carried out at the Dome Mine to mechanize the mining of narrow veins of less than 1.5 m in width by the introduction of new mining methods and specifically designed electric LHDs.Extensive mining trials have been conducted using sublevel blasthole, modified Avoca, and resuing mining methods. The introduction of the Microscoop and the Jarvis Clark remote, radio-controlled scooptram has increased mucking productivity.As a result of this work, additional narrow vein stopes are now being prepared for production. In the future, narrow vein stoping wil lprovide a greater percentage of the total mill tonnage.IntroductionThe Dome Mine, which is owned and operated by Dome Mines Limited, is located at Timmins, Ontario. Production has been continuous since 1910 and in 1984 was increased from 1814 to 2721 tonnes per day.At least six distinct ore types have been recognized at the mine. In general, these orebodies can be broadly categorized into wide and narrow deposits. The wide deposits are approximately lenticular in shape and vary in width from 10 m to 40 m. The narrow orebodies consist of quartz and quartzankerite veins ranging in width from a few centimetres to six metres. The average dip of the veins is 65 degrees.Since the I970s, mining activity has been largely concentrated in the wider orebodies using highly productive open sublevel blasthole and mechanized cut-and-fill stoping methods. With the demise of shrinkage stoping in 1975, investigations were initiated to develop new mining methods and introduce LHDs - truly designed for narrow orebodies. These investigations resulted in test trials of the sublevel blasthole, modified Avoca, and resuing mining methods. Consultations with equipment manufacturers and suppliers led to the development of the Jarvis Clark remote, radio-controlled electric scooptram and the introduction of the France Loader Microscoop."

Jan 1, 1986

By Michael Chender

Introduction Clearly, many problems confront the minerals industry today. Yet, at the same time, there is too much energy spent bemoaning the negative effects of difficult economic circumstances, low metals prices, and adverse government policies. These are factors that cannot be altered by individual mineral company reactions. In fact, as we look to the future, the only thing we can be certain of is that we will continue to be faced with uncertainty. Thus, an area that demands close scrutiny and that can significantly affect a company's performance in the future is the posture it adopts to deal with uncertainty. This paper looks at how strategies are developing to deal with this issue. It also examines some of the implications that implementing such strategies have for the role of the individual explorationist. Elements of strategy Whether mineral company strategies are based on diversifying or retrenching, on emphasizing primary production or downstream integration, there seems to be increasing agreement that in the current environment strategies must have several features. They need to be information-based - developed out of access to timely and complete data and analysis about proposed directions and competitor activity, rather than simply following a current fashion. They need to be flexible - adaptable in light of changes in the marketplace and an unpredictable industry. And they need to be cost-efficient - making the most of limited resources. Whether a company is looking for gold financing opportunities, acquiring polymetallic prospects, or doing grassroots exploration for diamonds, these three elements are increasingly essential. They not only allow the company to pursue its current goals most expeditiously, but also open it to hearing and using feedback in the most constructive way. The company can then improve or change strategy as it proceeds. And it can be best positioned to take advantage of opportunities as they arise. These elements of strategy place great emphasis on the skills of the individual. The need for critical intelligence and the reduced amount of capital available to manage are making it more obvious that exploration is a "people" business. This is in accordance with a general trend in many sectors of industrialized economies, reflecting the widely discussed shift from smokestack to information-based industries. Increasing the odds There is a direct connection between successfully implementing the approaches to strategy discussed above and encouraging and improving the quality of work of the individual explorationist. To illustrate the importance of this, some commonly quoted figures on the odds of discovery success can be used. These figures are arbitrary but illustrative. Assume that one out of 100 exploration prospects actually turns out to be a promising ore body, and that one out of 1000 becomes a mine. Based on our research, chances are the most of those

Jan 1, 1986

By D. A. Buckingham

Engineering and economic evaluations were performed by the Bureau of Mines on 14 Frasch sulfur, 1 native sulfur, and 21 metal sulfide operations in 11 market economy countries. The evaluation included discounted-cash-flow rate-of-return economic analyses at 15 pct to determine the average total cost of production of these two commodities and the potential availability of elemental sulfur (8) and pyrite concentrate. The Bureau evaluated the potential availability of elemental sulfur and pyrite concentrate. Approximately 279 million metric tons (Mmt) of pyrite concentrate at 46 pct 8 is potentially recoverable from 422 Mmt of in situ metal sulfide ore. Nearly 89 pct of the total pyrite concentrate is available at an average total cost of production below the January 1984 pyrite concentrate market price ($43/mt). About 185 Mmt 8 is potentially recoverable from 253 Mmt of in situ elemental sulfur. About 99 pct of this sulfur is available at an average total cost of production below its January 1984 market price ($131/mt).

Jan 1, 1986

By C. M. Trigg

"PEC uranium deposit, 100 km southwest of Coppermine, was discovered by diamond drilling in 1976 following ground and airborne geophysical surveys, geological mapping, geochemical surveys and boulder prospecting that were initiated as the result of the discovery of uraniferous sandstone outcrops in 1969 by geologists of Aquitaine Company of Canada Ltd.The deposit is within gently northeasterly dipping medium to coarse-grained Unit 11 quartzitic sandstone of Neohelikian Dismal Lakes Group. The deposit is from 10 m to 70 m above the base of the sandstone which, beneath the deposit, non-conformably overlies weathered and altered Aphebian granite of Great Bear Batholith or unconformably overlies rubble breccia, conglomerate and medium-grained Unit 8 sandstone of Paleohelikian Hornby Bay Group.A northeasterly trending, 500 m wide graben, bounded by the steeply dipping northeasterly striking Imperial and Aquitaine faults, contains the deposit which is 1.1 km long by up to 340 m wide. The deposit overlies a post-Hornby Bay Group, pre-Dismal Lakes Group topographic high. Uranium principally occurs as stratabound, often peneconcordant bands; a lesser amount of uranium is fracture controlled.Stratabound uranium exists in gently easterly dipping, subparallel bands ranging in thickness from 1.5 m to 6.0 m. Pitchblende, coffinite and sooty black uranium oxides occur as interstitial disseminations and grain coatings subparallel to bedding; they also replace pyrite and form narrow veinlets.Small amounts of torbernite, carnotite and cuprosklodowskite coat pitchblende and are disseminated within mineralized bands. Pyrite, marcasite, chalcopyrite, chalcocite, cove/lite, digenite, azurite, malachite, arsenopyrite, glaucodot, niccolite, bravoite (? ), goethite, hematite and magnetite as well as quartz, barite, calcite, biotite, chlorite and clay minerals exist within the mineralized bands. Uranium grades of 0.1 % to 0.3 % U3O8 over thicknesses of 1 m to 2 m are typical.A steeply dipping fracture zone near the Imperial fault contains sooty black uranium oxides, torbernite, carnotite and cuprosklowdowskite as well as sulphides, cobalt arsenides, quartz and carbonate. The zone may reach 70 m long; its true width is about 1.9 m. Uranium grades range up to 5.18% up, over0.9m.Pitchblende and coffinite from PEC deposit have been dated at 1.08 ± .10 Ga with possible remobilization at .45 Ga. The deposit contains an inferred 3,150 tonnes of U3O8."

Jan 1, 1986

By B. C. Flintoff

In general, process control systems in solid-solid separation have not evolved to the same level as in flotation circuit control. Perhaps one of the more significant contributing factors in this regard is the lack of suitable on-line analytical instrumentation. In spite of the obstacles, some interesting work has been done. This paper presents a review of current industrial control strategies in ore sorting, dense media separation, gravity separation and electrical and magnetic separation.

Jan 1, 1986

By J. D. Wells

An account is given of the planning required for the rehabilitation of land that is to be disturbed by opencast mining, and of the preparation of rehabilitation of land that is to the Inspector of Mines. The plans Include the provisions that are to be made to allow for climatic conditions, land use, vegetation and wildlife, surface-water resources, geology and ground water, soils, land capability, rehabilitation method, location of discard dumps and slurry ponds, pollution control, and costs. . . Monitoring of the operation is the only way that the rehabilitation plan can be improved, and both monitoring and planning are essential when provision is being made for the closure of a mine.

Jan 1, 1986

By P. D. Kovscek

The Bureau of Mines equipped a longwall shearer with a water-jet-assisted mechanical cutting system to determine the effect of the high-pressure sprays on machine performance, airborne dust levels generated, and size of particles formed. Testing was conducted on a simu-lated coal block (coalcrete) while cutting at a water pressure of 190 psi and at water-jet-assisted pressures ranging from 1,000 to 6,000 psi. The shearer motor energy used by the shearer while cutting coalcrete was determined for each cutting condition. Results indicate that the motor energy required by the shearer for each ton of material cut did not vary significantly as the water pressure was increased. Results of dust measurements recorded near the cutting drum indicate that at water pressures above 3,000 psi, dust reductions up to 85 pct were achieved com-pared with cutting with conventional sprays. Analysis of the particle size distribution during cutting showed that increasing the water pres-sure resulted in increased median particle size. In light of these results, various mechanisms for water-jet-assisted cutting are discussed.

Jan 1, 1986

By Hassan El-Shall, G. L. Zucker, T. S. Jordan

INTRODUCTION This chapter will discuss, both from fundamental and practical points of view, the flotation of non-sulfide min- eral s. The flotation characteristics of silicates, salt-type minerals, oxides and coal will be reviewed. Dup- lication of the thorough and excellent presentations by many authors is not intended and a comprehensive list of references is included. GENERAL PRINCIPLES Collectors for Non-Sulfide Minerals : All minerals, with only a few exceptions are readily wetted by water, that is, they are said to be hydrophilic. The purpose of a collector is to coat the mineral surface and render it hydrophobic, preferring an environment of air over an environment of water. Relative to sulphide minerals, the non- sulfides are more naturally hydrophilic and therefore, require a collector with a greater chain length. This is accomplished by using a collector which has a proportionally longer hydrocarbon chain. Both anionic and cationic flotation collectors are used in non- sulfide flotation. Anionic Collectors. These are collectors which ionize in solution to give a negatively charged radical. They have the general structure R-A, where R is a hydrocarbon having 8 or more carbon atoms and A is a hydrogen or an alkali metal. The most common collectors in this group are fatty acids which could have saturated or unsaturated hydrocarbon chains. Such chains may be straight or branched. The configuration of the chains affects their solubility in water and their adsorption characteristics. In general, as the chain length increases the adsorption and the collecting power increases. However, it should be noted that the solubility decreases. The solubility of unsaturated chains is greater than that of saturated fatty acids because double or triple bonds are polar and thus attract water molecules. Solubility data for collector metal salts, even though important for a proper understanding of flotation are not available for all collector systems. Solubilities and structures of different fatty acids are reported by Fuerstenau (1982). Values for the solubility products of fatty acid salts selected from a paper by Du Rietz (1958) are given in Table 1.

Jan 1, 1986

By N. Saracoglu, R. H. Wallis, J. E. Betz, F. L. Jagodits, B. R. Krause

"Geophysical test surveys were conducted with various methods (EM, lP, gravity and magnetic) over the McClean uranium deposits of the Canadian Oxy- lnco Joint Venture. The result s were assessed to judge the contribution each method might make toward further discoveries of graphite-associated uranium occurrences.The best drill targets have proven to be discontinuities in graphitic conductors and locations where the tatter are intersected by fracture zones in the Athabasca. The tests demonstrated that the preferred combination of geophysical survey s is horizontal loop EM to locate graphitic conductors in the basement and VLF-EM to locate the fractures.IntroductionThe discoveries of the McClean North and South uranium deposit s (Fig. 1) are essentially geophysical successes resulting from drilling MaxMin delineations of INPUT airborne electromagnetic responses (Saracoglu et al., 1983). After the initial discovery in 1979, various geophysical methods, techniques and instruments were employed to test their effectiveness in this environment and to guide exploration for other deposit s of a similar nature in the remainder of the 260 km2 property.The McClean uranium deposits lie below 150 m to 180 m of overburden and Athabasca Group. Radioactive signatures might be expected; however, the Athabasca Group acts as a barrier to radioactive emanations. Fortunately, the uranium mineralization is associated with graphite in the crystalline basement. Prior drilling of ground electromagnetic anomalies confirmed that EM surveys could locate and out line basement graphitic conductors. However, as there were many anomalies, most of which could not reasonably be expected to be associated with uranium , there was need to identify additional parameters, related to mineralization, which could be detected geophysically and used to narrow the search."

Jan 1, 1986

By Hochwimmer B, Baxter JL

Heavy minerals are mined from two fossil strandlines on the southern Swan Coastal Plain. The Capel shoreline, 7 km inland, and the Yoganup shoreline, 15 km inland are arcuate, northwest-facing, and remote from the modern coast. Based on foraminiferal and molluscan assemblages, the shorelines are probably of Pliocene age. The Yoganup shoreline is adjacent to the Whicher Scarp, which is cut into the Leederville Formation (Lower Cretaceous) at the southern boundary of the Swan Coastal Plain. Stratigraphic relations and detailed sedimentology have been studied from temporary exposures in the Yoganup Extended and Yoganup North mines, within a strandline complex at 27 m and 18-33 m above sea level respectively. Heavy minerals were deposited in thin, shallowing-upward sequences along a wave-dominated clastic shoreline cut into pre-Cainozoic sediments. Lithofacies units deposited in eolian, foreshore, shoreface and lagoonal environments are the most significant sites of heavy mineral accumulation. The data collected provide a basis for further exploration.

Jan 1, 1986

By W. M. Luff

The Brunswick No. 12 Deposit is a large polymetallic massive sulphide deposit, occurring in Ordovician age rocks of the Tetagouche Group. Silver is contained within the sulphide zones and economically it is the second most important commodity produced. Brunswick is one of the largest silver producers in Canada. The distribution of silver within the mine is presented, with examples from various levels. The concentration of silver can be shown to be related to both stratigraphy and structure. The mineralogy of silver in mill products is also presented.

Jan 1, 1986

By Robert B. Parsons

"In all likelihood, Canada's mining industry would be adversely affected by corporate tax reform proposals actively being considered by the Department of Finance in Ottawa. When the next set of proposals for lax reform is released later this year as promised by Finance, the mining industry had better be prepared 10 take a hard look.IntroductionTwo federal budgets ago, in May 1985, Finance Minister Wilson tabled budget papers that were more massive in terms of volume than most federal budgets. Buried in this mass of documentation is a discussion paper entitled ""The Corporate Income Tax System-A Direction For Change"". When the discussion paper was tabled over one year ago, reaction from the business sector was almost nonexistent. By and large, the paper was regarded as nothing more than one more federal publication of mild academic interest.But, recent events suggest that this discussion paper for corporate tax reform could be the cornerstone for a series of changes to the tax laws which would have more profound and widespread effects for all sectors of the economy than any reform since 1971 . No industry in Canada can afford to ignore the movement afoot in Ottawa for corporate tax reform."

Jan 1, 1986

By Frank P. Traczyk

INTRODUCTION The process of solid-liquid separation can be an important decision in plant design. It is very important that one must consider not only the most effective means of solids-liquid separation, but also to consider the effects on upstream and downstream processes. A solid-liquid separation is done either to remove the solids £ran the liquids as in copper concentrates or rave a liquid from the solids as in uranium operations. In either case, washing can be an important consideration to clean the solids or recover the liquids. This section will deal with solid- liquid separation other than thermal, sedimntation processes, or hydro cyclones. The three major areas discussed are pressure filters, vacuum filters, and centrifuges that are most cannon in the minerals industry. PRESSURE FILTERS Pressure filters are one common type of solid-liquid dewatering devices. There are my different types of pressure filters that are both continuous and batch operations. They are characterized by using an external pressure to push or force the slurry through porous media to force the liquids out of the solids. Whereas vacuum filters are limited to one amsphere or bar working pressure, some types of pressure filters operate as high as 16 bars pressure. Pressure filters are also effective for hot slurries where a high boiling point can be a problem or precipitation occurs under vacuum. The types of pressure filters most common in the mineral processing industry include plate and frame and recessed plate filters. Some of the new technologies including automatic pres- sure filters and belt presses are also discussed. Plate Frame Filters Plate and frame filters are one of the oldest and most effective means of both dewatering solids and clarifying liquids. Plate and frame filters consist of a skeleton that is used to hang or support alternate plates and frames that are pressed together to form chambers. The filter plates consist of a drainage grid that is covered by sane type of filter media through which a liquid is

Jan 1, 1986

By Agnes Y. Lee

The Bureau of Mines has developed an effective hydrometallurgical method to recover high-purity Pb metal and elemental S from concentrates. This low-temperature process eliminates S gases and Pb emissions, in contrast to the current high-temperature smelting technology. The method consists of (1) oxidative leaching with H202, Pb02, and waste fluosilicic acid at 95° C to produce a solution of PbSiF6 and a residue containing elemental S, (2) electrowinning the PbSiF6 solution at 35° C to produce 99.99 pct Pb metal and H2SiF6, and (3) solvent extraction to recover S, leaving a residue containing Cu, Ag, and other metal values. Spent electrolyte was recycled repeatedly, with impurity buildup controlled by controlling the leach parameters.

Jan 1, 1986

By Song Xiaotian

Studies have been carried out to optimize the VCR's mining sys- tem on the basis of synthetic analysis at Fankou Pb-Zn mine in Southern China. The synthetic e- valuation method is proposed for selection of mining alternatives and stope dimension optimization techniques. Theoretic calculation and computer optimization of the fragmentation of rock blasted by multispherical explosive charges are discussed. The mathematical and optimal fragmentation models are built. The optimum model is built for the main mining operations such as drilling, blasting and haulage. Lt can be used to evaluate VCR?s mining projects, select mining parameters and provide design fundations. From the point of view of system research on the geomechanical process, stoping technological process and benefit, the complex method of optimization is proposed for VCR's mining. Using computer simulation, based on this model, the optimal parameters are established and analysed. An effective approach is provided for research on the mining method optimization and getting better economical benefits from the application and improvement of VCR's method.

Jan 1, 1986

By Jean Descarreaux

"The Rexspar uranium deposits are located near Birch Island in central British Columbia. The property lies within the Omineca crystalline belt of the Cordilleran Orogen. Gneiss, schist, tuffaceous and porphyritic trachyte are the main rock types encountered on the property. These rocks are of pre-Late Triassic or probable Mississippian age.Lenticular bodies of mica and pyrite-rich rock are the host of three closely spaced uranium deposits and are found close to a fluorite deposit. The altered trachytic rock as well as the fluorite and uranium deposits are found in the upper part of the trachyte unit. The latest tonnage estimates are 1,441,820 tonnes averaging 23.46% CaF, for the fluorite deposit, 490,966 tonnes of 0.084% U10afor the 'W' deposit, 164,290 tonnes of 0.074% UP8 for the ""B"" deposit and 459,124 tonnes of 0. 071 o/o UP8 for the ""BD"" deposit.A hydrothermal replacement origin was first proposed for the fluorite and uranium deposits. The mineralizing and altering solutions would have been genetically related to a felsic batholith outcropping a few kilometres south of the property. Another hypothesis has been proposed more recently. A volcanic centre has been tentatively identified in the upper part of the trachyte unit, close to the mineral deposits. The fluorite and uranium deposits could possibly be volcanogenic, rather than related to the Cretaceous felsic batholith.IntroductionFluorite and uranium mineralization occur on the property of Consolidated Rexspar Minerals and Chemicals Ltd. in central British Columbia. The exploration and development works executed over the years are summarized in this paper. The deposits and their geological environment are described but the origin of the mineralization has not been definitely established."

Jan 1, 1986

By Larkings RH

The high gas emissions associated with the depth of mining and very high coal extraction at some Australian Collieries have provided a need to investigate the influence of geological and mining conditions on levels of gassiness. The introduction of longwall extraction in particular is associated with complex strata control problems and quick changes in gassiness. To this stage of Australian coal mining, no standard method has been developed to predict the different levels of gassiness associated with the various geological and mining conditions; and the relationship between coal output and total methane make has not been established. For local conditions, with a large number of coal seams lying in close proximity to the working seam, the significant contribution of gas emissions from adjacent strata was expected, especially as strata relaxation occurred during longwall mining. This depends mainly on geological conditions, strata control and coal production. For the deepest of the B.H.P. Collieries in the Newcastle region, the relationship between coal output and total methane make has been investigated by systematic gas balance measurement during longwall extraction. The computer method of iteration was used to approximate the mathematical equation from the initial graphs of coal production versus quantity of methane in the ventilation system for various strata conditions. The angle of caving was established for local geological and mining conditions, for planning and design of the positions of cross measure boreholes.

Jan 1, 1986

By J. E. Pahlman

Spontaneous oxidation and combustion of sulfides and resultant fires are serious problems in underground mines. The Bureau of Mines has con-ducted fundamental thermal gravimetric analysis (TGA) research to deter-mine the mechanisms and factors governing the rate of low-temperature pyrite oxidation, and to identify possible inhibitors to spontaneous oxidation and combustion. The mechanism of low-temperature pyrite oxidation was found to be topochemical, meaning that the oxidation process is controlled by the chemical reaction at the interface between pyrite (FeS2) and iron sulfate (FeS04)' An activation energy of 8.9 kcal/mol FeS2 was obtained for oxidation of minus 500-mesh pyrite in an atmosphere of 60 vol pct water vapor and 40 vol pct . Water-vapor content of the atmosphere was found to be the critical factor in the rate of spontaneous oxidation of pyrite, with a water-vapor content greater than 20 vol pct needed for accelerated oxidation. An atmosphere of pure oxygen resulted in negligible oxidation. The rate of pyrite oxidation is also greatly affected by the particle size of pyrite. Pyrite-oxidation rate increased drastically for particles less than 40 ~m. Room-temperature pyrophoric behavior was observed for freshly ground unoxidized pyrite (55 pct minus 5 ~m) upon exposure to air. Addition of water-adsorbing materials such as activated alumina (Alz03) decreased the rate of pyrite oxidation.

Jan 1, 1986

By Christopher J. Bise

INTRODUCTION Perhaps no other area reflects the art as well as the science of mining-engineering design quite as obviously as strata control. This is due to the fact that the design of mining structures is difficult because rock rarely behaves as a homogeneous medium. Further, the original state of stress and the mechanical proper- ties of the in situ rock are somewhat difficult to deter- mine. However, those aspects that are hard to treat mathematically can and have been successfully approached by model studies and in situ measurements. This chapter will review the fundamentals of strata- control design and will provide examples of applications to typical problems. STRESSES AROUND MINE OPENINGS A close examination of Fig. 1 reveals that, prior to mining, stresses exerted in the overburden can be in both the horizontal and vertical directions. In the example problems of Chapter 1, it was shown that the maximum compressive stress (uv) at any depth (D) below the surface can be approximated as follows: [ ] Further, the lateral stress (oh) is related to the maxi- mum compressive stress by utilizing Poisson's ratio (µ): [ ] As soon as a heading is driven, such as the one in the coal seam shown in Fig. 2, the stresses shift to the sides, or abutments, of the opening. Clearly, these compressive stresses around the opening exceed the pre-mining conditions. The problem of designing an underground opening, therefore, is to determine the maximum stresses and to note if they exceed the ultimate strength of the rock. Table 1 lists several rocks with their corresponding strengths. Figs. 3 to 5 depict the boundary stress concentrations around circular, ovaloidal, and rectangular openings. M is the ratio of the horizontal stress to the vertical stress, or as defined above, p/(l-p). This text will concentrate on the state of stress represented by M = 0.33, which corresponds to the condition of no lateral deformation in a rock having a Poisson's ratio of 0.25. For an ovaloid with an opening width-to-height ratio of 2.0 (Fig. 4), the boundary stress concentrations are at their maximum values at the comers of the opening, with values in excess of 3.0. If the depth of overburden is 500 ft, then the maximum boundary tangential stress ([ ] ) of the ovaloid is: [ ]

Jan 1, 1986