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By E. Best

In 2003, Phelps Dodge Mining Company decided to pursue the design and construction of a Central Analytical Laboratory to provide chemical analyses for their Arizona and New Mexico operations. This centralized approach was selected in place of refurbishing six (6) older laboratories that operated at the various Phelps Dodge sites, and which would not have permitted full automation and use of robotics. The new lab was designed by the Process Technology Center (PTC) Material Characterization Group in cooperation with IMP Group. The Central Analytical Service Center (CASC) encompasses fully automated sample preparation of blast holes and geological samples weighing up to 15 kg/sample. The CASC also includes the first "wet chemistry module" worldwide to be operated by robotics systems to perform Total Cu, Acid Soluble Cu, and Quick Leach Tests (QLT), and a fully automated lab for electrowon copper cathode. The new lab also offers flexibility for handling specialty samples and analyses by either semi-automated or manual mode. Data handling and transfer is accomplished using the commercially available StarLIMS system. Commissioning was accomplished within five (5) months of startup during which the CASC also handled 86% of a full production load. The 24/7 lab operation has already exceeded its design capacity, has achieved considerable savings in operating cost, reduced sample preparation errors, and significantly increased analytical quality.

Jan 1, 2007

By PAUL L. DEAN

Industrial mineral deposits are widespread in Newfoundland and Labrador and a variety of commodities are produced. The province has the only pyrophyllite mine in Canada and also produces asbestos, gypsum, silica, barite, limestone, gemstones, cement and other structural materials. Large reserves of these and other industrial minerals are known and several deposits are likely future producers. Most producers are wellestablished and have large tonnages of ore reserves.

Jan 1, 1984

By J. H. Brown

"THE need for continuing education has been recognized only in fairly recent years as a major concern of the engineering profession. Formerly, it was acknowledged that engineers were required, at least informally, to follow the professional literature and to give some attention to new technical and technological developments. However, those relaxed days, when progress could be followed in a casual or incidental evening of reading, have disappeared in these days of mushrooming information. The engineer is now in the position of the man trying to control the flow from a fire hydrant with a child's pail. Our problem is that of developing an effective flow system -be it trough, hose, pipe or a bigger pail.The first step in achieving an effective means for continuing the education process is to realize that the need for the system is really an outgrowth of an increasingly sophisticated society. It is merely one more symptom of that society; others would• include the facts that new engineering graduates are more highly trained than those of several years ago, that graduate schools are now the norm and that even some fairly recent technologies are becoming outdated. There-fore, let us examine the education-al systems from which the bulk of the increasing sophistication has grown."

Jan 1, 1966

By W. H. Patterson

The history and experience of early companies in the Islands is illustrated by the typical transactions of Trans-Western from 1959 to date. Trans-Western had entered into farmout agreements with companies strong enough to carry out at least the required minimum exploratory work and then such development as might be warranted. The farmee companies were required to make deposits to guarantee work performance during the first period of validity, i.e. the first 3 years of the 12-year life of the permits, and at the rate of 5 cents per acre. At that time, a good deal of geology was available, as a result of extensive exploration that had been carried on by the Geological Survey of Canada and other geological enterprises, with field parties travelling over and camping on all of those Islands. Trans-Western's farmees then selected, from Trans-Western's priority on 13.5 million acres, what they believed were the lands most prospective of producing large oil and gas discoveries, and, having the right to trim off acreage which they considered less prospective, thereby reducing the acreage of Trans-Western and its farmees to in excess of 5.5 million acres. The farmees then commenced a 3-year program carrying out geological exploration to the required minimum of 5 cents per acre, and with some permanent and many mobile camps.

Jan 1, 1969

By Ward G. Wilson

Best practice in the design and construction of soil cover systems for mine waste management has advanced extensively over the past two decades. While significant progress has been achieved, we still have little experience with respect to proven performance for cover systems that must last hundreds of years. Some cover designs appear to be functioning well, while at the same time the performance of many more are now being called into question. This presentation evaluates the integrity of cover systems from both a global and local perspective in relation to the uranium industry within Canada.

Aug 1, 2010

By S. Duvah Pentiah

The transformation of an open pit coal mine to a horizontal-punch underground mine is subject to a number of challenges. These include scheduling the operation of various sizes of trucks over a long period, as well as updating delivery routes and dump site locations as the mine transformation progresses. In this process, rock is excavated from a quarry through earthworks. The bulk earthwork and quarry material delivery were initially drawn from traditional planning and experienced issues in their early phases. As a result, a traffic simulator was developed in order to validate schedules and predict achievable throughput, likely delays or blockages in the long term. The dynamic traffic simulator was also used to provide traffic density and vehicle arrival data at selected intersections in order to identify possible safety and efficiency issues.

Aug 1, 2013

By Ramin ArameshAsl

Urumieh-Dokhtar is the well-known vast metallogenic belt extended from NW to SE of Iran and basically is referenced in copper mineralization studies in Iran. Hashtjin 1:100000 sheet (NW Iran) is located on this belt and rock units are consisted of Oligocene intrusive, volcanic rocks and Eocene Sedimentary rocks. Concerning the significance of identifying the alterations and faults zones in copper exploration, the aim of this study is identifying the copper mineralization by multi-spectral analysis of ASTER (Advanced Space borne, Thermal Emission and Reflection Radiometer) satellite images in the limitation SD-SWIR (Spectral Domain of Short Wave Infrared). Several analytical methods are implemented in this study such as SAM (Spectral Angle Mapper), MF (Matched Filtering) and PCA (Principal Components Analysis). These methods have been utilized for recognizing the Argillic, Propylitic and Sericitic alteration zones and all of them are relying on the remote sensing methods as well as geological studies of new targets for copper mineralization identification in the area.

Aug 1, 2013

By J. E. Dodge

Tasu, currently an open-pit operation, services the primary crusher from two areas by ore-pass raises. The problems encountered and advantages gained are discussed. Mine equipment and operating practices are covered, together with blasting practices, line drilling and the pre-shearing necessary to stahilize the pit walls.

Jan 1, 1968

By John O. Galloway

"The year 1947 was a momentous one in the history of the petroleum industry in Canada. It was in that year that Imperial Oil Limited made its discovery at Leduc, the forerunner of other discoveries, large and small, and the spark wl1ich started a most intensive exploration and development programme there.If, to use boxing parlance, Leduc was the first blow of a one-two combination which left doubting Thomases groggy, then Redwater was the number two blow which achieved the knockout. The oil industry's exploration leaders did about-face without delay and the rush of oil operators of all classifications to western Canada began. It is still continuing, and the influx of capital which the operators have brought in and are bringing in has a bouyant effect upon the over-all economy. The boom is on, but it is a sound one, and it is difficult to conceive that it will have anything but the most beneficial effect on Canada, and particularly western Canada.The petroleum industry is an important segment of the general economy. Its activities call for tremendous amounts of capital; its employees are well paid; it is a large customer for a wide range of products of other industries; its commodities are essential to the citizens and the nation.The industry is carried on by highly aggressive and independent groups and individuals, of which a small minority are integrated while the majority are relatively small operators engaged in only one or two phases of the business. Competition is the rule and, since the nature of the business is mass production, the industry is faced from time to time with serious problems, many of which are peculiar to it."

Jan 1, 1950

By E. H. Mulligan

THE ERRINGTON B-I mine is located on the Errington orebody of Steep Rock Iron Mines, Limited, at Steep Rock Lake, Ontario. In 1946, this orebody entered the shipping lists of the Lake Superior iron ranges as an open-pit operation. During the period 1946 through 1953, the mine produced a total of 9,000,000 tons of iron ?ore. In 1950, as the mine approached the economic limits for open-pit operations, ground was broken for an underground development to exploit the deposit at depth. The mine is designed for an ultimate production of 1,500,000 tons per year by the block-caving system of mining. The initial shaft is 1,200 feet deep and will produce or-e from the 700 and the 900 levels. The 1,100 level will be used as a drainage level and as a haulageway for waste rock, which is hoisted to surface by skip. Ore from the two production levels moves by a system of ?ore passes to a crushing plant located below the 900 horizon and is hoisted from this point to surface by conveyor belt. At the present time, all material handling on the levels is by tramming, but as tram distances increase conveyor haulage will probably be installed. The initial stage of the Errington B-1 development is expected to produce 6,000,000 tons of ore over a period of four years. The second stage will require deepening of the shaft and development of lowe1? production levels. The conveyor hoisting plant will be extended to serve these new levels. We visualize the mining of this orebcdy down to 2,500 feet by these methods.

Jan 1, 1956

By R. E. Legg

This paper gives a brief outline of the mining and milling methods which will be used on the Stirling zinc-lead-copper ores by Stirling Mines, Limited, who have for the past two years been developing the Stirling mine in Richmond county, Nova Scotia, and who will bring the mine into production in November, 1929. No attempt has been made to give the paper a detailed technical character, for the main reason chat, since base-metal mining is something new in Nova Scotia, it is felt that a general description would be preferable before this Society, whose membership is mainly made up of chose engaged in the coal mining and associated industries. Furthermore, as both mining and milling operations will be governed to a certain degree by the experience gained after production commences, there are many points which cannot be definitely stated now. GEOLOGY Before discussing the mining methods, it is desirable to present a general picture of the geology and occurrence of the ore-bodies. The surface rocks in the vicinity of the mine consist of rhyolites of .pre-Cambrian age. These volcanic flows outcrop in very few places, usually along' the beds of creeks or on the shores of the numerous small lakes. Consequently, a detailed geological map is not available. The exploration work carried out to date has revealed a sheared zone extending through the volcanic flows for a distance of over 1,000 feet. Along this zone, there has been a replacement of the rhyolites by a carbonate rock for widths varying from 50 to 230 feet, and it is in this carbonate formation chat the mineralization at a later date took place.

Jan 1, 1929

By Z. D. Hora

Air hough diatomite is known in many parrs of British Columbia, deposirs of mineable size have only been found in the area between Kam/oops and Quesnel in the sourh-cenrral parr of rhe province. Ar Quesnel, commercial producrion has continued since 1950 from diatomite lenses up ro 35m rhick. OCCURRENCES of diatomite are reported from many parts of British Columbia, but deposits of mineable size are known only from the area between Kamloops and Quesnel. Only Quesnel deposits have yet reached the production stage. Commercial production dates back to 1950, and up until 1979 approximately 22,700 tonnes of diatomite had been produced. Most extracted diatomite was processed until 1980 by Crownite Industrial Minerals Limited in Quesnel to produce an oil absorbent and animal bedding. Smaller shipments are used to make insulating bricks on the lower mainland. Deposits near Quesnel extend 40 km along the western bank of the Fraser River from Quesnel to Alexandria; most production has come from Lots o. 6132 and 906. Di atomite is present as discontinuous lenses up to 35 m thick. Diatomite beds Industrial Minerals in Canada are of Upper Miocene age and are overlain by plateau basalts. Diatomite consists almost exclusively of Melosira granulara diatoms that are usually very small and mixed with variable amounts of clay, ilt and volcanic ash. In recent years, extensive beds of diatomite were identified near the confluence of the Chilcotin and Fraser rivers. Diatomite in this locale is a part o f the Upper Miocene to Pliocene Chilcotin Group of sedimentary rocks that are overlain by olivine basalt and related luffs. A deposit near Red Lake is situated 50 km northwest of Kamloops. Diatomite beds occur in the Tranquille Series of Eocene age and are similar in composition to those in the Quesnel area. The Red Lake deposit is abo ut 4 m thick but its areal extent is only a few tens of hectares.

Jan 1, 1984

By D. A. Sloan

THE Young Davidson mine is of particular interest because of the extremely low costs and also because of the novel method devised for pillar recovery. The outstanding feature of the mining system is its simplicity and regularity. The successful operation of this property was de-finitely assured by the rise in price of gold in 1934. The mine is situated in the southeastern part of Powell township, about forty-five miles southeast of Timmins, Ontario. The local town, two miles distant, in Matachewan, which is twenty-five miles northwest of Elk Lake, the terminus of a branch line of the Temiskaming and Northern Ontario railway. Mining is confined to one of a group of five claims. The ore occurs in a body of syen.ite porphyry which is intruded along a contact of Timiskaming conglomerates with Keewatin altered ruffs and greenstones. This intrusion extends in a north-easterly direction from Davidson creek for 3,300 feet, of which length 700 feet lies within the Matachewan Consolidated property. The maximum width of the mass is 700 feet; it tapers off as it extends east-ward. The Orebody.-The syenite porphyry is of three types, probably all differentiates of the same magma, but only one of them is gold bearing. This is a cherry-red, coarsely crystalline type which forms the central part of the mass. It is more brittle and more fractured than the others, and consequently has allowed easier access to the gold-bearing solutions. The gold has been brought in by a branching system of quartz veins and along minute fractures. It is mainly in the form of very fine 'free' gold, but also occurs in pyrite, which is the chief metallic mineral.

Jan 1, 1942

By S. M. Bulatovic, D. M. Wyslouzil, K. R. Rawlings

"The suitability of a new organic reagent DS20 as a depressant for oxidized and carbonaceous pyritic lead-zinc ore from Nanisivik Mines Ltd. has been evaluated in the laboratory and in the plant.The depressant DS20 is a mixture of Lignosulphonate-Dextrin-Quebracho and was developed specifically for depression of highly oxidized and carbonaceous pyrite.The laboratory test work indicated that the poor metallurgy resulting from the oxidized ore could be improved to normal plant performance by the addition of the DS20 depressant with the existing plant reagents. The laboratory data suggested that lime consumption could be reduced when using DS20.In this paper, the development work and the plant trials with DS20 are described.INTRODUCTIONNanisivik Mines Ltd. treats approximately 2000 tonnes per day of lead-zinc massive sulphide ore, containing currently 1% Pb and 9% Zn. The concentrator operations have been described previously (1,2) and typical metallurgical performance is detailed in Table I.The concentrator flowsheet (Figure No. 1) and the standard reagent scheme (Table No. 2) demonstrate the relative simplicity of treatment of this coarse grained ore.A recently discovered satellite orebody - Area 14 - containing 2% Pb and 12% Zn was brought into production in October 1983. This ore had been oxidized to varying degrees by ground water; the pyrite mineralization was found to be very fast floating and a carbonaceous constituent present in higher than normal proportion also affected flotation. The simple high lime addition could not control the pyrite, and very low grade lead concentrates resulted; zinc metallurgy was also affected by this oxidized condition (Table 3)."

Jan 1, 1986

By Yin Wang, Lin Li, Zhongwei Bi, Like Wei, Wen Li, Shaogang Li, Bin Zhang, Hongjie Li

Presently,Many long-wall fully-mechanized faces in shallow depth coal seams are below room and pillar goaf in Shendong mining area. When the working face is advanced out of concentrated coal pillar in upper room and pillar goaf, strong strata behaviors often cause support crushing accident. Aiming at a support crushing accident which happened in Shigetai coal mine of Shenhua group in Shendong mining area, this paper analyses the stress transfer process while mining out of concentrated coal pillar by numerical simulation software FLAC3D. According to the feature, simplifying the roof of upper room and pillar goaf as supporting-beam structure explains mechanism of large area collapse in room and pillar goaf roof. Based on the feature of supporting-beam structure, deep-hole blasting concentrated coal pillar technology is proposed to control the strong strata behaviors in Shigetai coal mine. The blasting control effect is confirmed through characteristics of strata behaviors, growth circumstance of ground crack and multi-point extensometer monitoring results. By using control technology, Shigetai coal mine has been successfully avoided support crushing accident.

Jan 1, 2015

By David Runnels

The Mount Wright iron are mine and upgrading plant were brought on line in the fall of 1975. The mine is located near the Quebec - Labrador border some six hundred miles northeast of Montreal. This paper describes the crushing, grinding and concentrating facilities at Mount Wright, and some design: criteria used in equipment selection and flow sheet design. Also mentioned are some "asbuilt" modifications. A brief description of the over-all flowsheet is also included. Introduction IN SEPTEMBER 1970, the Quebec Cartier Mining Company started development of the Mount Wright iron ore mine. The estimated are reserve is in excess of 1,000,000 ,000 long tons of concentrates, with an average crude are grade of 31.5% Fe. The run-of-mine ore is crushed, ground and concentrated to a product having 66% Fe and 5% silica at an annual concentrate production r ate of 18.4 million long tons. The daily production rate of over 50,000 long tons of concentrate necessitates a daily mine output of approximately 250,000 long tons of material, of which 50% is waste.

Jan 1, 1977

By R. Bruce Graham

The formation, evolution and classification of peat bogs is discussed. Factors resulting in the internal and external morphological changes in a bog are described. The fibrous, absorptive and sterile properties of peat moss account for its widespread use in horticulture and related fields. These properties also account for its usefulness as a binder in pelletizing, as an insulating material in bat tons and in panel construction. Peat, the humijied product of peat moss is used in market gardening and sod growing. It is utilized in Europe as fuel. It is a source of activated carbon and gas. Potentially peat can be used to produce waxes, resins, tannins, cellulose, hemicellu/ ose, humic acids, lignin and hymatomelanic acid. At present other cheaper sources are available.

Jan 1, 1984

By S. Hussien, P. Somasundaran, P. Patra

"Rare earth elements (REEs) are essential for many applications in electronics, energy harvesting, and defense. The common resources for economic extraction of REEs are oxides such as bastnaesite and monazite, which are scarcely available in the earth’s crust. On the other hand, REEs are available in many clay and phosphate ores where REEs substitute Ca or Si in the mineral lattices or as physically adsorbed cations at negatively charged sites on the clay surface. While REE oxides readily dissolve in acid, making the chemical leaching of REEs an economically viable option, adopting a similar approach for leaching of silicates and phosphate ores is unfeasible because of significantly low REEs content in these ore deposits. Bio-leaching approaches are environmentally benign and economically viable. We investigated the bio-leaching (Acidothiobacillus ferrooxidans (Af) and the fungal Aspergillus niger (An)) of REEs from a phosphate ore, and examined the factors governing the leaching processes. Based on the shake flask leaching studies, an increase in surface area combined with an increase in pulp density (1-15 wt. %) was found to lead to an increase in the amount of REEs leached. In contrast, an increase in the surface area by reducing the particle size from 75 to 35 led to a decrease in the amount of REEs leached. These differing attributes are proposed to be due to the poor bacterial growth/activity with high F- ions in the leaching media, F- released from the edge-sites of the smaller particles. On the other hand, several advantages that associate with the Af bacterial bio-leaching processes relate to the media composition (Mg2+ and (NH4)+) and phenomena occurring at the electrical double layers of the mineral and bacterial- water interfaces. These studies suggested that leaching of particles occur in a layer-by-layer manner.INTRODUCTIONRare Earth Elements (REEs) are essential for many important applications, such as in electronics, energy generation, and defense. The common resources for economic extraction of REEs are typically carbonates such as bastnaesite and monazite, which are scarcely available in the earth’s crust (Y. Kanazawa and M. Kamitani, 2006). REEs are abundantly available in many clay and phosphate ores where REEs substitute Ca or Si of the mineral lattices. Conventional acid leaching of REEs from oxides is not economically feasible for clay and phosphate ores because of significantly low REE content (parts per billion) in these ores (Tian, J., Chi, R., Yin, J., 2010a; Moldoveanu G. A. and Papangelakis V. G., 2013; WK Goyne, LS Brantley and J Chorover, 2010). In some cases, REEs could be extracted from these ores via chemical leaching routes as they constitute reasonable amounts of REEs (0.1 - 1% REEs). A major challenge faced in general in chemical leaching processes (Chi, R., 1988) is the loss of REEs in the phosphate/gypsum precipitates/crystals, which are overcome in a step-by-step manner by sequentially removing impurities such as fluorine and calcium, including steps carried out at elevated temperatures. On the other hand, bio-leaching approaches provide environmentally benign and economical alternatives. Acidophilic bacteria are currently being used for industrial scale bio-leaching of Au/Cu/Ni from low grade ores. Studies on bioleaching of REEs from red mud (Al2O3) using Penicillium tricolor and Aspergilus niger (An), and, of bio-leaching (lab-scale) of phosphate rocks using Acidithiobacillus ferrooxidans (Af) have been reported (Boon, M., Heijnen, J.J., 1993; Qu, Y. and Lian, B., 2013). We conducted bacterial (Af) bio-leaching of REEs from a phosphate ore in shake flasks and columns, while examining the key factors that govern leaching kinetics."

Jan 1, 2016

By R. Glenn Madill

Western Canada is defined, for the purposes of this paper, as that part of the Dominion bounded approximately by the 95th and 141st meridians of longitude and the 49th and 80th parallels of latitude. It is comprised of Manitoba, Saskatchewan, Alberta, British Columbia, Yukon, and that portion of the Northwest Territories lying to the west of the 95th. meridian. The first magnetic observations made in Western Canada were in the interests of navigation by sea. Observations were made by Captain Middleton in Hudson bay at Churchill and York Factory in 1725, and along the Pacific coast by Captain Cook in 1778 and Captain Vancouver in 1792. The first systematic magnetic survey in Western Canada was made between 1819 and 1826 by Sir John Franklin in his widely distributed explorations. It is of interest to find that while the first magnetic declination observations made in Hudson bay and along the Pacific coast were purely in the interests of navigation, the next investigations, which were made in the Western Arctic, included measurements of inclination and force with those of declination. There was a valid reason for this more complete research into the magnetic field as the construction of declination charts depended on the position of the north magnetic pole. Halley promulgated a theory 1683 that " the globe of the Earth may be regarded as one great magnet, having four magnetic poles, two of them near each pole of the equator, and that in those parts of the world which lie near any of those magnetic poles the needle is chiefly governed thereby, the nearest pole being always predominate over the more remote" . The position of a magnetic pole may be defined as a point where the inclination is 90 degrees and the horizontal force zero. It is obvious that the position cannot be' defined by declination observations alone since, for some distance from the magnetic pole, .the horizontal force is too weak to give directive force sufficient to effect the pointing of a compass.

Jan 1, 1948

By Hökmark. H., M. Lönnqvist

"The Swedish Nuclear Fuel and Waste Management Company are planning to construct a permanent storage facility for high-level nuclear waste at about 500 m depth in fractured crystalline rock. One potential concern for the long-term performance of the repository relates to large fracture shear displacements, since these may damage intersected waste containers. Although details in fracture surface geometries are known to influence slip magnitudes and distributions, fractures are commonly approximated as planar features with lab-scale properties due to lack of relevant field-scale data and to limitations in available modelling tools. The purpose of the work described in this paper is to explore the possibilities to use the distinct element code 3DEC to generate and analyze models with isolated, non-planar fractures and, based on the results of such models, get perspectives on the influence of basic disturbances such as ridges, steps and waves. Given the model set-up, fracture segments with orientations deviating from the critical one will contribute to stabilize the fracture. As a result, all analyzed non-planar fractures slip less than the critically oriented planar fracture. We demonstrate that the angle of deviation is the most influential parameter determining the slip magnitude for comparable surface geometries. Similarly inclined steps and ridges have almost equal slip reductions despite differences in surface area restricting the movement. Although it may be possible to translate the influence of such irregularities to an effective coefficient of friction that could be used as input to models with idealized planar fractures, additional analyses with randomly shaped and distributed asperities, different fracture sizes and with alternative stress loads, need to be carried out to devise a defensible strategy for this type of parameter variation. INTRODUCTIONThe Swedish Nuclear Fuel and Waste Management Company’s (SKB) concept for deep geological storage of high-level nuclear waste is the KBS-3 method according to which the waste will be encapsulated in copper canisters and deposited, surrounded by compacted bentonite clay, in vertical deposition holes at about 500 m depth in fractured crystalline rock (SKB 2011). A site has been selected in the Forsmark area, which is located some 120 km north of the Swedish capital Stockholm. One potential concern for the long-term performance of the repository that has been identified by SKB (SKB 2011) is related to large shear displacements along repository host rock fractures induced by a nearby earthquake, since these may cause mechanical damage to intersected waste containers. Due to lack of relevant data at the appropriate field scale and to limitations in available modelling tools, fractures are commonly approximated as planar features with lab-scale properties. The standard numerical tool, 3DEC (Itasca 2013), used in SKB’s rock mechanics analyses, for example, generates planar fractures by default. Results from dynamic 3DEC earthquake-models (Fälth et al. 2010) currently provide input to layout decisions, i.e., the diameter of the smallest planar fractures that must be avoided when deciding on waste container positions at different distances from potential earthquake faults. It is, however, well known that fracture surfaces are rough or undulating on a wide range of scales (e.g., Candela et al. 2012) and that such deviations from planarity influence the mechanical behaviour of the fractures (e.g., Dieterich and Smith 2009, Marshall and Morris 2012, Ritz and Pollard 2012). It will probably never be a realistic option to attempt to represent the geometrical complexity of a population of fractures of different size, shape and surface structure in any large-scale rock mechanical analysis relevant for the performance assessments of the nuclear waste repository. It may however be possible to find approximate ways to represent different styles and degrees of non-planarity by assigning mod"

Jan 1, 2015