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By David E. Nicholas

Design of underground openings is becoming more critical as the mine deposits become lower in grade, initial investments increase, ore depth increases, additional safety regulations come into law, and increased ore recovery is required for conservation of minerals. Stability of these openings is dependent on the strength of the rock mass and the pre-mine stress field. The rock mass is composed of solid blocks of rock (rock sub- stance) and structural features (faults, joints, bedding, etc.). Methods of testing the rock mass strength are improving and be- coming more common, however it is difficult to justify the high cost of large scale testing for an initial mine design. An alternative to testing the rock mass is to measure the rock substance and the structural features separately, and then combine them to estimate the rock mass strength. The rock mass strength will vary depending on the orientation of the opening with respect to the structural features. The other factor affecting the stability of underground open- ings is the pre-mine stress field. Methods are available to measure "directly" the pre-mine stress in competent and relatively massive rock. These methods are costly to employ, therefore, they may not be justified in an initial study. The pre-mine stress field can be estimated based on the structural relationships formed from past tectonic events.

Jan 1, 1976

By Eleanor Sonley

In October 2000, temporary seismographic stations were installed above the Trail Mountain Mine, Emery County, Utah, USA to supplement a regional network. Over seven months, 1826 mining-induced seismic events were recorded with a magnitude range of M 0 to M 2.2 (Arabasz et al., 2002, 2005). Routine event locations for this dataset cluster around the longwall mining activity during the recording interval. However, applying a double difference relocation technique to the routine locations significantly improves the correlation between mining activity and event location. The resulting relocations depend greatly on station distribution and the number of arrival time picks. We use this dense temporary array to assess station distribution requirements for applying the double difference technique at other mines by systematically removing data from available stations, thus simulating sparser networks. The insight gained using the Trail Mountain dataset is used to develop a metric for assessing the usefulness of above-mine networks and to develop a tool for expanding seismic network coverage. To verify the appropriateness of these tools for wider application, we examine data from two additional mines located in the western United States. Improving the relative locations of mining-induced seismic events highlights the association of these events with active portions of the mine. Clusters, regions of quiescence and relative timing of events can be used by mine operators to assess hazard, optimize production, and evaluate performance of mine plans. The lessons learned from this study may be used in future network design to improve accuracy of event locations at other mines.

Jan 1, 2009

By Mark R. Bowie

Air-fall tuffs have been altered to zeolite via reaction of volcanic glass with local pore solutions at the six localities discussed in this paper. These are in the southern Basin and Range Province of Arizona and New Mexico, and in the Trans-Pecos and Coastal Plain regions of Texas. Zeolitization occurred in either closed- hydrologic, open-hydrologic, or hydrothermal groundwater systems. The tripping Spring Valley (DSV) chabazite in Arizona and the Buckhorn clinoptilolite in New Mexico originated in a late Cenozoic network of closed-hydrologic, lacustrine basins extending from southeast Arizona into southwest New Mexico. At DSV, two potentially commercial chabazite-rich tuffs are interbedded with lacustine mudstone. The main zeolite tuft contains up to 90 percent chabazite. The upper zeolite tuff averages approximately 67 precent chabazite. At the Buckhorn deposit, two clinoptilolite-rich tuffs are interbedded with lacustrine m udstone in the upper part of the Gila Conglomerate. The lower zeolite tuff contains up to 90 percent clinoptilolite. The upper zeolite tuff contains over 60 percent clinoptilolite. The Casa Piedra clinoptilolite is in the Trans-Pecos region of Texas. It formed during the Tertiary in a closed basin containing a playa lake. The Casa Piedra tuff averages about 60 percent clinoptilolite. Air-fall tuffs of the Cuchillo Negro, New Mexico and Tilden, Texas clinoptilolite deposits were zeolitically altered by either percolating ground waters in open-hydrologic systems or locally by ponded, saline, alkaline solutions. Cuchillo Negro tuffs are Tertiary and average approximately 50 percent clinoptilolite. Clinoptilolite-rich tuffs of Ebcene age have been mined from four quarries at the Tilden deposits. Tufts from the Kuykendall and Buck Martin quarries contain approximately 50 to 60 percent clinoptilolite. Low temperature, SiO2 - rich, hydrothermal solutions altered air-fall tuff to clinoptilolite and chabazite in the Foster Canyon area of the Tertiary Cedar Hills and Seldon Hills volcanic-vent zone in southcentral New Mexico. Poster Canyon tuffs contain up to 60 percent zeolite and average 40 to 50 percent clinoptilolite. The dominant mineral in the zeolite tufts at the six deposits studied is generally microcrystalline and either chabazite or clinoptilolite. Lithic fragments, unaltered volcanic glass, other zeolites, quartz, calcite, opal-CT, cristobalite, feldspar, evaporites, clays, and mafic minerals are also constituents of the tufts.

Jan 1, 1987

By V. Iordachita

In the beginning of the third millennium, the world mining industry has to cope with many challenges; the continuous need for mineral resource deposits and the mostly unsolved economic efforts should be accompanied with ecologic measures mankind has to take in order to avoid self-destruction. The present paper analyses the possibilities of using underground mining spaces in Romania for storing dangerous waste and suggests viable solutions. The characteristics of dangerous wastes and their disposal in suitable underground spaces are analyzed. Also, some methods for deactivating dangerous solid wastes as well as the importance of monitoring underground spaces in order to eliminate environmental impact risks are presented.

Jan 1, 2008

By Barton Kelby Cross

In the early 1960's the feasibility of mathematical modeling was demonstrated in Northern Rhodesia and southwestern United States, where techniques were developed to use these models in a new approach to aid engineers in the estimation of ore reserves, mine designs, and financial evaluations. These rudimentary models closely followed the manual methods, producing ore reserves and production schedule estimates that were as accurate as the manual methods, yet were many times faster. Mines evaluated and designed using these new tools gradually came into operation during the 1970's and entered the phase at which production scheduling and ore-grade control became day-to-day problems. Management expected the number of operational engineers to be small because small planning engineering staffs had produced the original designs and operated the smaller high-grade pits. Unfortunately, the tools needed by the mine engineer to perform short-term production scheduling and ore-grade control were labor intensive; they had not yet been generally computerized. Several attempts to use the original or exploration model for these two functions were futile. While an exploration model based on data from exploration work proved sufficiently precise for overall mine design and long-term production scheduling, the model lacked the precision required for short-term scheduling and grade control.

Jan 1, 1979

By D. L. Madge

The text of this chapter was not received in time for printing.

Jan 1, 1979

By I. Papadopoulos

Nowadays, geophysical prospecting is implemented in order to resolve a diversity of geological, hydrogeological and geotechnical problems. Though plenty of applications and a lot of research have been conducted in the country-side, only a few have been reported in the literature concerning urban areas, mainly due to high levels of noise present that aggravate most of the geophysical methods (e.g. electromagnetic, seismic, gravity etc.) or due to spatial limitations that hinder normal method implementation (e.g. electrical). Among all geophysical methods, electrical tomography proves to be the most rapid and urban noise insusceptible technique. This work presents a case study in the urban area of Hania (Crete I., Greece), where Electrical Resistivity Tomographies (ERTs) have been carried out for the detection and identification of possible buried ancient ruins or other manmade structures, prior the foundation of a building. Nineteen profiles were surveyed in a 20x40m grid using dipole-dipole configuration. The results indicate two areas of interest, that are interpreted as probable old wells, in the context of the existence, in former times and in the same area, of an olive oil plant. In the vicinity, near surface ancient ruins have been disclosed, but no such evidence provided this survey, for the particular area under study and the prospected depth. The collected ERT-data were processed by applying advanced algorithms in order to obtain a 3D-model of the study area that depicts more clearly and accurately the interesting subsurface structures.

Jan 1, 2005

By Richard C. Fountain

The Central Florida Phosphate District is located in southwestern Polk, southeastern Hillsborough, Manatee, and Hardee Counties, Florida, flanking the.southern end of a major structural uplift known a the Ocala arch. Ore control problems here are varied and unique due to non-homogeneity of matrix and high volume mining operations. Overburden stripping and matrix mining are performed by large draglines, the matrix being slurrified and transported to the processing plants hydraulically. Production geologists' responsibilities include, 1) prediction of special mining problems, 2) prediction of ore quality and quantity, and 3) the physical control of the ore quality and recovery during mining. prediction is based on core drilling and visual inspection and analysis of the core samples. Basic economic, and physical minability criteria are thus established. Ore grade and tonnage recovery are of particular importance with emphasis being placed on coordination between mining and processing personnel. Routine inspection of the working pit face is of prime importance and both physical and quality variations are pointed out to the mining supervision. Physical problems in ore control occur due to erratic clay, dolomitic limestone and sand lenses. Near surface ground water is abundant, posing a threat to recovery. Contaminants of the phosphate ore are large quartz grains, pebbles of cemented quartz sand, clay balls, iron oxide laminac and dolomitic limestone particles. Success of the ore control program is predicated on a balance between predicted ore tonnages and grade and actual production. The geologists' primary attention is directed toward this balance.

Jan 1, 1972

By Klaus Böde

Within the national and international strategy of the German based construction company HOCHTIEF, the majority of its business units is equipped with the comprehensive software package ARISTOTELES. This software is a powerful business information system for all accounting and controlling related processes in medium-sized and large construction and other related companies. Due to the complexity of the software, time constraints, and limited financial resources an implementation of this software package requires thorough project management. In this paper the relevant elements of project management are outlined based on practical experiences gained during this international IT - implementation project. Special emphasis is directed to the identification and management of potential risks. In this case particular acknowledgement was given to the multinational nature of the project and modernization of the business. This includes thorough reorganization of the company, significant changes of job requirements, and substantial trainings for its employees. At the same time key success factors like knowledge transfer, adoption of Czech legal requirements, commitment of management, networked thinking, and integrated project planning come into play. The costs for implementation had to be carefully evaluated because the software was implemented in a country with a considerably low cost I price level. All these impacts to the business had to be managed within the scope of transformation of business and political environment from socialist to market driven economy.

Jan 1, 2002

By R. W. Brann, R. C. Freas

Franklin Industrial Minerals operates several mines/quarries, including two room and pillar underground mines. Both of these mines are operated as multiple level room and pillar including heading and bench operations on one or both of the levels. This paper focuses on Franklin’s Crab Orchard, Tennessee mine, which produces both high purity chemical grade limestone and crushed stone for construction applications. The high purity chemical specifications for the chemical grade limestone and filler/extender applications are inconsistent with the non-chemical rock being produced to supply the crushed stone market. As a consequence Franklin has developed a unique mine plan and operation to maintain both product balance and a safe and stable working environment.

Jan 1, 2003

By G. D. Mainwaring, Weng L. W, Lam Y. K.

The first power transmission cable tunnel in Singapore was the 2.6km long undersea tunnel between Pulau Seraya and mainland Singapore, constructed in the1980s. Ten years later, similar concepts were used for the Tuas Cable Tunnel. The tunnel, which includes a 2.2km long immersed tube section, was designed to accommodate 10power circuits of 400kV and 230kV capacity. It is fully equipped with sophisticated control and communication equipment, fire suppressant and life safety systems plus a maintenance vehicle which runs on tracks through the length of the tunnel. The paper discusses the planning, design, and construction of the Tuas tunnel, and the development of these concepts for future tunnels.

Jan 1, 2001

By Majid Sadeghi, Ali Naghi Dehghan, Kaveh Ahangari, Seyed Mahdi Pourhashemi

"Instrumentation and monitoring of ground deformations in tunneling is a principal means for selecting and controlling the excavation and support methods among those foreseen in the design, for ensuring safety during tunnel construction (including personnel safety inside the tunnel and safety of structures located at ground surface) and, finally, for ensuring construction quality management. In this paper, the effect of Hakim Tunnel excavation on the behavior of the surrounding ground was investigated based on the geotechnical instrumentation. This tunnel with 1080 m length, 18 m width and 12.6 m height is being constructed using the SEM/NATM along the Hakim Highway in Tehran. The results which are obtained from recorded displacements by geodetic pins (on the tunnel wall and roof), extensometers and settlements pins (at the ground surface) demonstrate the tunnel stability during the various stages of excavation. However, it is concluded that the rate of excavation in different sequences could have a major role on stability of tunnel. In this case the surface and underground openings were monitored as well as needed for controlling the face probably collapse. INTRODUCTION Tunneling is increasingly being used world-wide to provide the infrastructure required for sustainable urban areas. The high demand for space and the disturbance of existing infrastructures by construction measures increasingly forces future infrastructure projects to be conducted underground. One of the important purposes of tunneling projects in urban area is not only to minimize displacements but also to control them during the construction (Pourhashemi et al., 2015). Normal method of tunnel stability analysis is not able to evaluate the real rock and soil mass behavior. Hence, instrumentation is a practical method to monitor displacements, to evaluate the stability of underground openings, and also to determine the rock and soil mass properties (Dehghan et al., 2012. Dehghan, 2013). Rocks and soils are materials with properties that can change instantly and significantly from one point to the next. Some complications may often happen due to uncertainties in the loads that the new facility must withstand during construction and operation. Instrumentation and monitoring provide quantitative information on actual behavior of ground and adjacent structures. A lot of deformation monitoring studies for determining and analyzing different kinds of engineering structures such as tunnels, bridges, high-rise buildings and dams are implemented. Considering the type of the structure, its environmental"

Jan 1, 2016

By Peter G. Chamberlain

Novel and innovative mining methods are attracting the attention of mining engineers at an unprecedented level. Historically, the US mining industry has responded rather conservatively to new technology. The financial difficulties affecting the domestic mining industry in the early 1980s changed attitudes toward new technology. The market contraction during that period, coupled with an expanding world mine capacity, created a serious oversupply of many raw mineral products. Many mining companies found that retaining a share of world markets while making a profit required drastic cost-cutting measures.

Jan 1, 2008

By P. Stanley Jacobsen, Hemant B. Gala, Richard E. Hucko

Coal is the nation's most abundant fossil energy resource. However, its use is limited because of the nature and amount of associated impurities, such as mineral matter, sulfur, trace elements, and moisture. The moderate-to high- sulfur content of many U.S. coals is of particular concern as current and newer, potentially more stringent, regulations require reduction in sulfur oxide emissions. Release of particulates, NOx, and other pollutants during the coal-use cycle is also of concern. The current practice of controlling sulfur oxide emissions in the major steps of the coal- use cycle is limited mainly to coal preparation by physical beneficiation and, to a smaller extent, to post-utilization cleanup (flue gas desulfurization). Approximately two-thirds of the coal from states east of the Mississippi river is physically cleaned, whereas only 15% to 20% of the operating boilers in the utility industry are equipped with scrubbers to desulfurize the flue gas (Henzel, 1988). Physical beneficiation methods can be very effective in removing mineral matter, including pyritic sulfur, from coal. These processes take advantage of the differences in physical proper- ties between coal and mineral matter to achieve the separation. In a typical physical cleaning operation, raw coal is crushed to about a 50-mm (2-inch) top size. It is then screened into coarse, intermediate, and fine sizes. Crushing the coal liberates some of the ash-forming minerals, including a portion of the sulfur that is not chemically bound to the coal. The per- centage of impurities freed from the coal matrix generally increases as the coal particle size decreases. The coarse- and intermediate-sized coals are typically subjected to a cleaning pro- cess based on differences in specific gravity between coal particles and the associated impurities. Such cleaning processes used include jigs, dense-medium baths, cyclone systems, and concentrating tables. The fine-sized (typically less than 0.5-mm) coal, if beneficiated, is typically cleaned using a froth flotation technique based on the differences in surface proper- ties between coal and its associated impurities. At fine sizes, greater cleaning potential exists because a greater portion of the impurities is released from the coal matrix. However, this potential is not fully realized owing to inefficiencies in separating fine particles using state- of-the-art flotation technology. Overall, current commercial coal preparation processes are estimated to remove up to 60% of the ash and 10% to 30% of the sulfur, depending on the coal characteristics, with product weight recoveries rang- ing from about 60% to 90% and thermal recoveries of about 85% to 98% (Versar, 1985; Science Applications International Corporation, 1987; Hoffman- Muntner Corporation, 1978). For many U.S. coals, grinding to sizes finer than those used in current coal preparation plants is required to liberate most of the physically bound impurities from the coal matrix. As noted, conventional coal-cleaning methods are not very effective at these fine sizes. Accordingly, the expanded use of domestic coal requires the development of advanced coal cleaning technologies that can provide economic performance while reducing environmental impacts. Program Goals and Objectives The overall goal of the U.S. Department of Energy (D0E)'s Coal Preparation Program is to provide the scientific and engineering knowledge base that industry can utilize to produce economically competitive and environmentally acceptable clean-coal products for introduction as market conditions warrant. The coal preparation process(es) should remove undesirable components from coal and improve its handling characteristics, thus making the product coal technically, as well as economically, viable as a competitor with petroleum-derived fuels and natural gas, and with alternative environmental control technologies. The coal preparation process must be applicable to a wide variety of bituminous and low-rank coals. The cleaning process should reduce the variability among clean-coal products from various raw coals, thus significantly increasing the range of potential end uses for each raw coal. To the extent that deeply cleaned coal products have greatly reduced levels of

Jan 1, 1988

By W. M. Ma, Daniel W. H. Su, K. Centofanti, Yi Luo, W. L. Zhong, Syd S. Peng

4.1 INTRODUCTION There have been numerous methods developed for predicting the final subsidence and final displacement profiles (Voight and Pariseau, 1970; Brauner, 1973a; Kratzsch, 1983). But for discus- sion purposes, they can be classified into six categories: theoretical, profile function, influence function, graphical, physical, and numerical modeling. The theoretical method employs mainly continuum mechanics theories and attempts to explain the mechanisms that lead to sur- face subsidence. Many models using nearly all kinds of material behavior have been developed. These include elastic (Salmon, 1963; Berry, 1964), plastic (Pariseau, 1968), viscoelastic (Iman, 1965), and elastoplastic (Dahl, 1969). The Profile Function Method is essentially a method of curve-fitting against the measured subsidence profiles in a particular mine or region. There are more than 20 profile functions developed empirically for nearly all major coalfields in the world. These include, to name just a few representative ones: Hungary (Martos, 1958), Japan (Hiramatsu and Oka, 1968), Russia (Avershin, 1947), United Kingdom (Wardell, 1965), and USA (Peng and Chen, 1981; Karmis et al., 1984). The NCB's graphical method in the subsidence Engineers' Handbook (1975) also belongs to the profile function method. The influence function method was first proposed by Bals (1931/1932). It was further developed in various periods and stages by Knothe (1957), Liu and Liao (1965), Brauner (1973a) and Marr (1975). This method is now widely used in various parts of the world. The physical models include sand (Litwiniszyn, 1959; Pariseau and Dahl, 1968) and gelatin (King and Whetton, 1958; Khair et al., 1986). They are used mainly to study the parameters that control subsidence behavior. The most popular numerical method is the finite element technique. It can simulate nearly every conceivable material behavior, inhomogeneity, bedding planes, anisotropy, and various boundary conditions. This versatility is absolutely necessary considering the ever-changing geologic and mining conditions encountered. In the following sections, only those methods that have been applied to US coalfields will be discussed. Furthermore, the methods for prediction of several key parameters such as maximum subsidence, maximum possible subsidence, and maximum displacement are discussed first, because they are the key parameters to be used in the profile function, influence function, and graphical methods.

Jan 1, 1992

By Koji Nakanishi, Masayoshi Karasawa, Yasuhiro Morimoto

"Shin-Yokohama station (tentative name), one of the station of the Sotetsu - Tokyu through line (ST line), is under construction by the OPEN – CUT method. The Underground Soil–Cement Steel Diaphragm Wall is implemented as an earth retaining wall. This earth retaining wall is utilized as a main body of a subway station. It is the first time to utilize this earth retaining wall as the main body. There are two difficult issues for this project. One is that this station is planned under busy major road and there are many underground utilities, for example, an electrical transmission line. Because of that, construction area is limited. The other is that this station is located in a thick soft clay layer. This layer has a high risk of consolidation settlement because of draining during main excavation. Thus, high water tightness is required for this earth retaining wall. This paper reports design and construction methods for the Underground Soil–Cement Steel Diaphragm wall introduced as a part of the body of the subway station.1. OUTLINE OF SHIN-YOKOHAMA STATION 1-1. Location and structure of Shin-Yokohama Station Shin-Yokohama station is an intermediate station on the ST line connected to the Tokaido-Shinkansen bullet train, the JR-Yokohama line and the Yokohama Municipal Subway. Access to Tokyo and the Tokaido- Shinkansen from the eastern part of Yokohama city will be improved by this project. In addition, the number of estimated passengers of this station is one hundred thousand people/day because a soccer stadium (Nissan Stadium: 72,000 people), a huge indoor arena and a hotel are located in this area. This station consists of 4 stories and 3 spans (Max width; 29m, Depth; 33m, Length; 325.5m). Completion image is shown in Figure 2. Generally, stations have 1 platform and 2 trucks. But this station has 2 platforms and 3 tracks because some of ST line trains return at this station and a train deadheads from Hazawa station to this station in an emergency. This station is planned as 4 stories underground station, and the platform is on the lowest story. The reason why this station is in such a deeper position is to prevent the alignment from interfering with the Yokohama Municipal Subway station and foundation piles for bridge piers existing along the alignment. Even under the constraint conditions, earth covering should be shallow as much as possible. As a result, the tunnel edge is very close to the foundation pile, and the gap is only about 2m (Figure 3). In addition, passengers will be able to change trains easily from the ST line to the Yokohama Municipal Subway or vice versa at this station."

Jan 1, 2016

By Garry G. Lowder

The regional geologic setting is essentially a volcanic island arc built upon an oceanic basement, consisting of basalt and minor pelagic sediments (the Tinombo Formation of Eocene - lower Miocene age. Trail et. al. 1974). -- An east-west chain of intermediate and acid calc-alkaline volcanoes (the Bilungala Volcanics) was built on the oceanic basement during the Miocene. The Bilungala Volcanics are flanked to the north largely by contemporaneous andesites and volcanoclastic sediments of the Dolokapa Formation. During middle to upper Miocene time the Bilungala Volcanics were invaded by large masses of predominantly dioritic intrusive rock and it is within one of these dioritic intrusive complexes, the Bone Diorite, that the cluster of porphyry copper systems occurs. Renewed volcanic activity in the Plio-Pleistocene produced acid pyroclastic rocks (the Pinogu Volcanicsi whose distribution is controlled by present-day topography. Structural trends, largely interpreted from SLR imagery, are pre- dominantly NW or NIWJ. The right-lateral Gorontalo Fault, which trends hW through the town of Gorontalo (Katili, 19691 is the most prominent structural feature. Many of the major structures in the Tapadaa district have similar orientations and may be sympathetically related to the Gorontalo Fault.

Jan 1, 1976

By Sam H. Patterson

Australia has led the world in bauxite production since 1976, and only the Republic of Guinea has larger bauxite resources. India has a small integrated aluminum industry, and deposits containing more than 1 Gt (billion metric tons) of bauxite were discovered in the 1970's. The Peoples Republic of China has large bauxite resources scattered in several regions, but it is a monohydrate type that is difficult to process for aluminum. Indonesia and Malaysia both have long histories of bauxite mining, and both have limited resources of high-grade bauxite. Districts containing bauxite resources in the 10 Mt to 150 Mt (million metric tons) range are scattered in countries along the eastern rim of the Pacific Ocean, on islands in this ocean, and on the western and northern rims of the Indian Ocean.

Jan 1, 1982

By Michael Traylor, Michael Jatczak, Brett Robinson

The Detroit River Outfall No. 2. is an effluent water conveyance system linking the Detroit Metropolitan Wastewater Treatment Plant to the Detroit River. The 6.4m (21ft) finished diameter tunnel extends 1,890m (6,200ft) east from the bottom of a 91m(300ft) deep, 9.2m (30ft) diameter drop shaft. At the eastern terminus of the tunnel, six Riser Shafts connect the tunnel to diffuser heads on the riverbed. The tunnel runs through a highly fractured Limestone formation capable of producing high levels of groundwater in?ows and Hydrogen Sul?de gas. Control of this water and gas was a theme which ran through the entire Project’s design and construction. This paper will provide an overview of each portion of the Project’s construction, including the Entrance Shaft, Precast Concrete Segments, TBM Tunnel, Pre-Excavation Grouting Methods, and the Riser Shafts.

Jan 1, 2003

By Richard L. Gordon, William A. Vogely

In this chapter, the principles that determine the procedures selected to transform minerals in the ground into usable commodities are re¬viewed.a I argue here that straightforward mod¬ification of the modern general economic theory of production suffices to meet the practical needs of a mineral economist. Therefore, the chapter is largely a review of the general economic theory of production to which is added discussion of the special prob¬lems of the exhaustibility of mineral resources and the economics of finding and developing economically recoverable minerals. In many cases, propositions applicable to all industries are reviewed because they are not treated ade¬quately in prior texts. In the discussion, use is frequently made of basic concepts of differential calculus widely used in economics. However, this is supple¬mented by simpler verbal and graphical treat¬ments, so that those either untrained in the calculus or, as is often the case, whose skills have grown rusty, can still follow the discus¬sion. Where the argument depends critically on the mathematics, this is noted and the justifi¬cation for including the material is provided. In addition, an appendix outlines the critical mathematics and reviews some of the numerous books published that provide the most readable available introduction to the subject. Further¬more, mineral industries examples are used to suggest the relevance of the theory. THE RELEVANCE OF THE ECONOMICS OF PRODUCTION Three basic steps are involved in establishing the relevance of economic analysis to mineral ¬industries decision making. First, the general theory of production must be defined, and its relationship to the simpler models of production stressed in economics textbooks must be noted. Second, the critical modification-considera¬tion of the problems of discovering and devel¬oping mineral deposits-must be developed. It turns out this too involves a special case of the general theory of production. Third, the concept of an economics of exhaustible resources must be explored sufficiently to suggest why its practical relevance is doubtful (or at least far smaller than the numerous writers on the subject seem to believe). The present approach is heavily influenced by post-1945 developments in economic anal¬ysis. Particularly since World War II, economic theory has drastically changed its scope. First, stress has increased greatly upon viewing the economy as a network of intertwined markets known technically as the general equilibrium system.b In this view, not only is the economy viewed as an integrated system, but critical con¬cepts are viewed somewhat differently than was previously fashionable. Specifically, in general equilibrium models, the concepts of supply and demand are rejected as central concepts in favor of a distinction be-

Jan 1, 1985