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By M. Plesha, A. Zubelewicz, K. Connor, T. B. Belytschko, O&apos

INTRODUCTION The Northwestern University Rigid Block Model (NURBM) has been extended to explicitly model dilatant behavior of rock joints. By incorporating dilatancy, the resistance to shear displacement and slip, which previously was limited to simple Coulomb friction, along edge-to- edge contacts is now provided by contact roughness as well as frictional resistance. The explicit formulation is based on concepts presented by Plesha (1985) in which a plasticity-based phenomenological approach was used to model dilatant joint behavior. This approach has been modified to allow for joint closure upon reversal of shear deformation. After presenting a brief description of the new joint constitutive relationship, model behavior will be illustrated with two examples. The first involves a simple two-block model to simulate a cyclic direct shear test of a single joint. The second example involves simulation of a large cavern in a moderately jointed rock mass subjected to cyclic excitation. It will be shown that in- creasing joint roughness increases cavern stability by interlocking of adjacent blocks. JOINT CONSTITUTIVE RELATIONSHIP Within NURBM adjacent two-dimensional rigid blocks interact along their common edge-to-edge contact with contact forces transmitted at the contact midpoint. The contact constitutive relationship was originally restricted to a Coulomb friction yield criterion with no tensile stresses permitted along the smooth contact surfaces. The local coordinate system for any contact is described as shown in Figure 1 with the elastic stresses and displacements related by the linear- elastic constitutive law: [ ] The contact microstructure has been modeled as Patton-type saw-tooth surfaces such as shown in Figure 2. Sliding can be active along the right asperity with angle aR and length lR or along the left asperity with angle a and length lL. In general, aR and aL will difkr as will lR and lL but for purposes of this paper it has been assumed that these angles and lengths are identical. By a simple transformation, the microscopic asperity stresses can be expressed in terms of the macroscopic contact stresses [ ] If Coulomb friction is assumed along the asperity surfaces, the plastic slip condition will be [ ] where µ is the friction coefficient with the convention that compressive stress is negative. When F is negative, the behavior is elastic and when F is zero, slip can ensure. When plastic slipping does occur, it is assumed that the relative tangential and normal displacements between the two contacting rigid blocks are additively composed of recoverable elastic parts and nonrecoverale plastic parts, [ ]

Jan 1, 1986

By Robert L. Sundeen, Richard V. Wenberg

Overshot loaders are loading machines which fill a front-mounted bucket by crowding and bucket lifting, passing the loaded bucket over the machine and throw¬ing the load into a haulage unit to the rear. The load is retained in the bucket as the load mass is accelerated in its path over the machine. At the point of discharge, the bucket is stopped suddenly and the load leaves the bucket, following the throw trajectory past the rear of the loader. Fig. 1 shows a typical overshot loader of this type. Overshot loaders were developed for loading in nar¬row drift headings and drawpoints, where it is impossible to place or pass a haulage unit alongside the loader. Haulage access is to the rear of all overshot loaders. The first overshot loader was developed in the early 1930s. The early machines were rail-mounted, air¬powered, and had small loading capacities. To this day, the same basic design configuration exists, and all suc¬cessful overshot loaders still use compressed air. Bucket sizes range from 0.14 to 0.59 m3 (5 to 21 cu ft). The most commonly used machines are rail-mounted, al¬though crawler versions are popular for special applica¬tions, particularly shaft sinking. Rubber-tired machines have found some application where a greater travel distance is required between the loading and discharge points. CONDITIONS INFLUENCING APPLICATION Roadway Type Rail-mounted loaders are used where soft bottom requires rail support or where the long haul is ac¬complished with rail. This situation usually occurs in civil tunnels or in mine drifts that will continue to utilize rail-bound main haulage after development work is completed. Crawler and rubber-tire mounted loaders are used where the roadway surface is rough and lateral travel beyond the range of rail-bound machines is required. Work Area Dimensions The largest rail-bound loaders can clean roadways as wide as 4 m (13 ft) from a single track. Wider headings require multiple trackage. Headroom require¬ments are dependent upon the path described by the bucket as it passes over the machine. The largest over¬shot loader requires approximately 3.4 m (11 ft) of headroom. It follows that the largest heading that can be driven by overshot loaders from a single set of rails is approximately 4 m (13 ft) wide and a minimum of 3.5 m (11.5 ft) high above the rail. The smallest rail-bound loaders can work efficiently in headings as small as 1.8 m (6 ft) wide by 1.8 m (6 ft) high above the rail.

Jan 1, 1982

By Cong Zhang, Huaying Wang, Yixin Wei

"Water inrush is a serious geological accident in underground coal mines. This paper focuses on the method of the bow tie analysis based on fuzzy reliability to assess the risk of water inrush in coal mines. First, post failure probability and repair probability of initiating events are divided into 5 levels. Then triangular fuzzy numbers are adopted to quantify experts’ language and to acquire the reliability rate which close to the actual values by defuzzification and calculation. According to dynamic bow-tie analysis model, using the method of moments to fit the reliability time of events by Weibull distribution and offering the random sampling rule of failure and repair time for illustrating the feasibility of fuzzy reliability evaluation. To demonstrate the effectiveness of the proposed assessment approach, bow tie analysis model of water inrush in coal mines is taken as an example.Introduction Dynamic bow tie (DBT) analysis is composed of dynamic fault tree and dynamic event tree analysis, and considers the impact of the time factor upon risk assessment of a system. There are many algorithms applied to calculation of the probabilities of node accident and accident consequence of dynamic bow tie analysis: Hidden Markov Model, Bayesian Network (Khakzad et al 2013), Integral Algorithm (Amari et al 2003) and Monte Carlo Simulation (Kim et al 2016). In terms of simulated time and practicability, the Monte Carlo Simulation has an advantage over other methods. DBT requires mass data in quantitative analysis, including the failure rates and the repair rates of the basic events of the Fault Tree (FT) and the subsequent events of the Event Tree (ET) at different time points, i.e., the distribution of failure time and repair time. In practical analysis, it is hard to obtain a large amount of exact historical statistical data, which is a major problem of risk assessment. Due to the difficulty of obtaining the exact data and historical failure data of the basic events and the subsequent events, the FT and ET analysis is stuck with the study of minimal cut sets, minimal diameter sets, structural importance and qualitative analysis (Liu and Zhang 2010, Yan et al 2012, Wang et al 2009, Li and Wang 2011). This paper will use fuzzy numbers and the defuzzification method to transform the experts’ language into the failure rates and repair rates of basic events and subsequent events, solving the problem that it is difficult to obtain a large amount of historical statistical data, and will use the method of moment to conduct Weibull fitting of the reliability time to provide the random sampling criteria of event failure and repair time in Monte Carlo simulation."

Jan 1, 2017

By Eric Gilmore, Ron Tudor, Gregory E. Korbin, Bill McCormick, Brad Bush

INTRODUCTION Las Vegas has recently been termed the “Construction Capital of the Country”. It has also been acknowledged as the fastest growing city in the country for several years running. The rapid growth improves the economic picture of the region but it also imparts unusual demands on the area’s infrastructure. In 1994 the Southern Nevada Water Authority (SNWA)was working on a master plan to address the rapid growth. A long range analysis revealed the need for additional water treatment capacity and delivery systems. Short term projections showed that the current system would reach capacity in the summer of 1997 with the possibility of demand exceeding the supply. The River Mountains Tunnel #2 is part of a $150M scheme to quickly upgrade the system to meet the short term demand, improve the overall system operation and allow for a smooth transition into the larger additions being planned for the future. The SNWA selected Carollo/Black & Veatch (CBV) to provide detailed design and construction management for the upgrades. The River Mountains Contracts consisted of five separate contracts broken out separately to stream line a very aggressive (just 34 months) design and construction schedule. Necessary work included four miles of excavated and lined tunnel, connections from existing pipelines to and from the new tunnel including large diameter (to 3.66m(144 in)) valves, a 18 927cu m (5 million gal) regulating reservoir, a surge tank and a 170 343cu m (45 million gal) reservoir to add additional storage to the system. Notice to Proceed was given to Kajima Engineering and Construction (Kajima) on May22, 1995 for the construction of the River Mountains Tunnel #2. The design called for a tunnel to be driven 6070m (19 915ft) in rock and lined to a finished diameter of 3.71m (12.17ft).Excavation began on December 14, 1995 and holed through on April 30, 1996. Lining began on June 25, 1996 and a notice of Substantial Completion was issued on December 13,1996. This paper describes the measures taken to complete the tunnel in 18 months from Notice to Proceed to Substantial Completion. THE RIVER MOUNTAINS SITE The River Mountains are a low range of rugged mountains separating the Las Vegas Valley from its main supply of water, the Colorado River at Lake Mead. They are volcanic in origin and the harsh desert environment has left them as expanses of exposed bedrock rising 305m (1000ft) above the valley with little or no vegetation. An existing 3.05m (10ft)

Jan 1, 1997

By Gary A. Campbell, William A. Vogely

INTRODUCTION The theory of mineral demand often is slighted in the study of mineral economics. The supply side of the mineral industries usually commands a great deal more attention and effort by mineral economists than the demand side does because the study of mineral supply includes topics such as exploration, resource availability, and exhaustion theory that are generally considered unique to the mineral industries. Mineral demand, on the other hand, is thought of as being more general in nature and therefore of less concern to mineral industries specialists since it is similar to the demand for other inputs of production. This similarity with other inputs of production, however, does not negate the importance of a thorough understanding of mineral demand. It is the interaction of supply and demand that determines market behavior and not supply alone. Mineral demand is a key component among the factors that influence mineral production; there- fore, a good understanding of mineral demand can give one better insights into the industry behavior and trends than one would otherwise have. A strong working knowledge of the demand side of the mineral industries is a powerful tool for analyzing and predicting mineral market behavior. The material presented in this chapter does not depend on any special background in economics and should be accessible to all interested readers. The chapter is organized so as to permit an orderly progression of the basic topics of the theory of mineral demand while allowing digressions on related issues of special interest. The first section of the chapter is on the determinates of mineral demand. The discussion be- gins with the introduction of consumer demand and some of the necessary terminology of economics and proceeds to the particular case of the derived demand for an input of production such as minerals and the characteristics of such demand. The second section of the chapter is on the response of mineral demand to changes in economic variables like price and aggregate income. This second section of the chapter be- gins with a general presentation of elasticity of demand and continues with the particular case of the price responsiveness of mineral demand and its nature in the short and long-runs. A brief look at the response of mineral demand to price changes for other products is also included. The chapter concludes with a discussion on the effect of aggregate income changes on mineral demand and its nature in the short and long-runs.

Jan 1, 1985

By Frank R. Field, Joel Clark, Walter C. Labys, William A. Vogely

Mineral models provide a systematic and comprehensive approach for analyzing and fore- casting the behavior of mineral markets and industries.' They also permit the analysis of a wide range of policy decisions. Obviously such models cannot capture all of the intricate relationships that shape the behavior of a mineral market. However, such models have become extremely useful and in many cases support the decision making approach of judgmental analysts. They tend to narrow the range of likely outcomes and thus reduce the risks and uncertainties of investing, trading, and speculating in minerals. Mineral models provide not only answers to "what-if" questions, they also inform analysts of the benefits and costs associated with mineral investment decisions. More recently they have been applied to specific mineral issues of the possible impact of buffer stock stabilization schemes and of import supply restrictions. Mineral Models Defined Because mineral models are so diverse, we must begin with a fairly broad definition. A mineral model is a formal representation of a mineral market, industry or system where the behavioral relationships included reflect the underlying economic and engineering factors as well as the political and social institutions. Of ten, but not always, a mineral model will consist of some combination of the following components: demand, supply, inventories and prices. Modeling of demand behavior normally begins with an interpretation of basic demand responses to prices and income (i.e., the associated price and income elasticities). Price elasticities vary among different minerals and among their diverse uses. They tend to be lower for minerals without close substitutes than for those where such substitutes exist. In addition, these elasticities vary with time as well as with the actual excess demand or excess supply. Variations like these, coupled with the relative instability of prices for a number of minerals, make explanations of demand behavior difficult. The degree to which demand responds to changes in income depends on the income elasticity of the end products to which the minerals serve as inputs. Those products with a relatively low income elasticity tend to experience proportionally smaller swings in sales than those with higher elasticities. The transmission of demand cycles to minerals producers comes through a series of stage-of-process effects. Demand measurement also is influenced considerably by mineral substitution patterns. The cross-price elasticity of a competitive or complementary commodity also varies with minerals, markets, and time. Where minerals easily substitute for one another, as in the case of cop- per and aluminum in electrical conductor applications, cross-price elasticities are relatively high. Modeling of mineral supply behavior normally involves consideration of resource development, economic conditions, geologic

Jan 1, 1985

By Kurt O'Bryan

WaterFlush Technology has recently been implemented at a gold milling operation in the United states. This new technology offers maximum comminution performance bene­fits over today's more common comminution methods. These benefits will be presented via the discussion of performance results from existing installations, and the proj­ected performance gains for circuits sched­uled to begin operation in late 1991.

Jan 1, 1991

By F. Gray

Diamond tool fabricators expect strong growth in most applications for 1995 and 1996. Overall growth projects range from 8% to 10%. Diamond grinding is forecast to grow between 5% and 8%, while cubic boron nitride grinding should grow between 10% and 12%. A strong automotive industry is a major factor in this projected growth, as is continuing demand for other durables

Jan 1, 1995

By Joseph W. III Leonard

Most material balances on coal preparation plant flow diagrams are stated in tons per hour of solids and gallons or liters per minute of water. Balances expressed in these terms can be simplified when it is known that 4 gpm (15.1 L/min) of water is about equivalent to 1 tph (0.9 1 thr) of water. Some useful relationships follow

Jan 1, 1991

By Clement K. Chase, Manuel Lastra, George M. Potter

Heap leaching for gold-silver recovery in the western United States has been widely applied. Advantages, disadvantages, and requirements of the method are discussed, as well as heap building, recovery systems, agglomeration applications, and safeguards against freezing. A list and review of current heap leach operations world-wide are presented, together with obvious opportunities for application of this innovative technique in new areas.

Jan 1, 1983

By B. Govindarajan, T. C. Rao, J. P. Barnwal

A simple modelling methodology has been proposed to predict the performance of industrial coal flotation circuit based on the observations made on the actual performance. The solid content in the tailings of the coal flotation circuit has been identified as a lode-star to predict the performance in terms of yield and ash content of the concentrate. The modelling parameters are directly measurable.

Jan 1, 1995

By W. L. Hollinshead

For more effective and cost-saving production in tunnels, the machinery used on construction sites in the future will be equipped with guidance systems combined with working-procedure management systems. This paper describes sensors for these systems and vari¬ous system configurations. A project is described that uses a computerized guidance system on an underground mining machine for guidance and profile control.

Jan 1, 2000

By Lennart Mukka

LKAB has been mining iron ore in northern Sweden for about 100 years and now enters the next century with a major new investment in Kiruna. The under- ground projects involve construction of a new main haulage level, a new mining system and a new ventilation system. This paper describes the Ventilation Procject from the investigation stage through to construction.

Jan 1, 1995

By J. M. Keating, R. L. Wiegel

Those processing plants which depend on flotation for their mineral separations are always looking for reagents which are cheaper, more selective or in some other way may provide improved economic performance. This paper describes the rationale for and some results from applying a statistically based approach to reagent testing in those flotation plants which still rely on experienced operators for manual flotation control.

Jan 1, 1986

By I. W. Farmer, R. E. Finky

Design of structures in rock based on ultimate limit states or strength criteria is unrealistic. The fracture process which inevitably occurs in rock around an underground structure is an energy release phenomenon. The development of fractures and associated displacements around a structure may therefore be more logically described using strain energy concepts and design may sensibly be based on serviceability limit states.

Jan 1, 1986

By Surendra K. Mishra

Recent land ban act has put pressure on industry to decontaminate the waste streams before they could be discharged. However, for both metal and organic contaminated wastes, there are commercial incentives to recover usable resources. Recent technology developments have helped meeting such objectives. This paper reviews developments in treatment technologies for industrial wastes. Major chemical groups used in waste treatment are summarized.

Jan 1, 1994

By D. Malhotra

Gold and silver ores are generally leached in weak cyanide solutions for recovery of precious metals. However, pretreatment of refractory ores requires flotation to concentrate the precious- metal minerals. Also, flotation is a common concentration technique for recovering precious metals as byproducts in sulfide-mineral flotation circuits. The present paper reviews current plant practice and future challenges for precious metal recovery.

Jan 1, 1999

By Ian H. Clark

A series of numerical experiments were performed in order to elucidate the stress distribution, fracture strength and mineral liberation potential in single specimens of rock during crushing. Fracture strength was shown to reduce under eccentric loading conditions. Similarly, the presence of inclusions, both hard and soft, reduced the fracture strength. The predicted crack paths indicate that mineral liberation is unlikely to be preferential.

Jan 1, 1992

By Surendra K. Mishra

Metallic and oily components are the major contaminants of industrial wastes. Underground burial and incineration have been the commonly practiced methods of waste management. To provide a relatively more permanent solution, different processes have been developed. In addition to reviewing these processes, potential of using flotation as a process to treat hazardous metal and oil contaminated wastes is discussed in this paper.

Jan 1, 1989

By Maurice C. Fuerstenau, Bruce R. Palmer, R. E. Johnson, B. R. Palmer, G. W. Warren

The environmentally sound processing of metal-bearing chloride solutions plays a key role in the extraction, plating, recycling, finishing and surface preparation of metals. Additionally, many chloride-bearing waste streams must be processed to obtain environmentally acceptable products. This paper reviews the technologies used for processing aqueous metal-chloride solutions and describes the challenges that have been overcome in application of these technologies.

Jan 1, 1993