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By L. Zhou, D. Bahrami, Y. Xue

Underground mine fires are a threat to the safety and health of mine workers. The timely determination of the location and size of an underground fire is of great importance in developing firefighting strategies and reducing the risk of any injuries. Machine learning was used in this paper to develop a predictive model for fire location and fire size in an underground mine. The ventilation data were obtained by simulating different mine fire scenarios with MFire. The ventilation data of all airways were used as features to predict the fire location. Based on the feature importance, five airways were selected to monitor, and the airflow data of the selected airways were used to predict the fire location and fire size. An accuracy score of 0.920 was obtained for the prediction of fire location. In addition, in-depth analyses were conducted to characterize the wrong predictions with the purpose of improving the performance of the random forest model. The results show that the occurrence of fire at closely connected airways at some locations can generate misleading ventilation data for each other and the model performance can be further improved by grouping them. Fire size is another factor affecting the model performance and the model accuracy increases with increasing fire size. The result from this study can help mine safety personnel make informed decisions during a mine fire emergency.

Mar 2, 2022

By Kadri Dagdelen, Lee J. Zamalloa

Truck-shovel dispatch systems based on linear or nonlinear programming algorithms have been in operation since the mid-1980s, with different levels of success depending on the correct arrangement of operational resources and the complexity of the mine. These systems are known for shortcomings related to the logic behind the decision-making of the operational objectives. This makes it necessary to have a human agent (dispatcher) to guide the system when the operational parameters change, creating the possibility of suboptimal decisions due to the human factor. To address this issue, the present work discusses the implementation of a methodology based on artificial intelligence (AI) techniques to assist in the decision-making of the best optimization goals arrangement when operating a fleet management system. The focus of the analysis is on the evaluation of variable goal weights in a nonpreemptive, multigoal optimization model for multiple uncertain scenarios based on regions of optimal feasibility.

Apr 1, 2025

By Henry N. McCarl

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Jan 1, 1966

By J. Y. Hwang

Coal cleaning with traditional magnetic separation usually yields unsatisfactory results because minerals associated with coal, such as quartz, clay, pyrite and calcite, are weak-or non-magnetic. Magnetic reagent technology is a new mineral processing technology with the capability to enhance the magnetic property of minerals selectively. This reagent can be adsorbed selectively on minerals through the control of surface chemistry and, thus, result in selective magnetic enhancement. The application of this technology on coal cleaning has been experimentally demonstrated. Good separation results can be obtained at low to medium magnetic field strength. Comparison with other processing technologies is included.

Jan 1, 1992

By Betty L. Gibbs

Before the first shovelful of dirt is removed from a developing mining property, a wide range of data must be collected, organized and analyzed. Among the key steps in this process are: • Visualization of the deposit from drill hole data and geologic interpretation, using all available information, including surface geology, geochemistry and geophysics. • Drawing of vertical and horizontal sections. • Construction of a 3D solid model of the deposit. • Contouring of deposit outlines and geological structure until the model represents best estimate of reality. • Estimation of grade and quality distribution. • Calculation of reserves. • Examination of possible mining methods. • Determination of economic feasibility. Many techniques are available to aid in this process of mine project feasibility analysis, from quick pencil calculations to sophisticated computer methods. However, time races faster in the complex modem business world than it did 50 years ago. Tried and true pencil methods take too much time. Opportunity may pass a mine developer by while a property is still in the first stages of analysis. In the days of hand techniques, initial analysis of the economic feasibility of a mining project usually stopped with reserve calculations and broad mine planning. Further planning was not done or was done only for the short term. Manual techniques require too much time and manpower to evaluate a longterm mining program. Mining-industry recognition of computer utility has increased. Most companies now use computers in technical applications and could not conceive of working without them. Building initial computer models of a deposit may take nearly as long as hand techniques. But the payback comes when changes are needed and a variety of mine plans are quickly tested.

Jan 1, 1990

By C. O. Brawner

A recent advance in slope dewatering-depressurization and stabilization is the use of vacuum assist horizontal drainage. (Brawner and Pakalnis) Horizontal drains have been used for several decades to reduce water pressures in slopes to improve stability. The benefit from vacuum assist arises from an increased hydraulic gradient caused by an induced negative atmospheric pressure. A research program included a laboratory model whereby the effects of vacuum drainage were evaluated. Three case studies are described where the technique has been successful. The first is in a rock slope where flows increased from 0.1 1/min. under gravity drainage up to 1.2 1/min, upon vacuum. The second study involves installation of 17 drains placed at a slightly downward gradient to intercept and de- pressurize aquifers under a major tar sand deposit in Canada. The third study was on a large open pit copper mine in British Columbia where flow increased about 30 per cent.

Jan 1, 1984

By Paul D. Tomlingson

Numerous worthwhile benefits accrue to the industrial organization that is supported by a maintenance organization performing at a world class level. That organization will be favored with consistently reliable production equipment. It will be assured of meeting production goals. Its product will exceed marketplace standards. Its customers will see them as a quality organization. Its employees will enjoy job satisfaction and the plant will realize continuing profitability. Every industrial plant aspires to achieve ?world class? status knowing it can compete favorably with the best, most profitable organizations in the world. The trick is to achieve the attributes that qualify your organization for world class status. But there are no world class maintenance organizations. Rather, there are world class industrial organizations that include a world class maintenance organization. Maintenance, by itself, is a service provider, dependent on the support and cooperation of other departments. When that service is exceptional, it is made that way because maintenance is operating in a plant environment that requires it to be exceptional. Managers have created an environment in which maintenance can be exceptional. The plant, mine or facility manager must acknowledge from the start that maintenance is not a stand-alone effort of a plant maintenance department. It will require the joint efforts of all plant departments. Quality material support and full cooperation from operations, for example, are among the essential requisites for effective maintenance and achievement of world class maintenance status. When attributes such as these are reinforced by dedicated plant managers, profitability soon follows.

By M. Javier

Management is a major part of sustainability research. Many different aspects of sustainability have already received significant research attention, but the management processes in mining from the perspective of their impact on society are less understood and integrated as a holistic frame. It is evident that mining technology has received major blame in past ecological disasters and major mining-induced environmental hazards, but the management-mining process has escaped unscathed. This should not have happened. Instead, the management processes should share equal blame with obsolete technology for the failure to identify and monitor potential environmental hazards before their inception of mining. We will present an emergent style of management for the future of mining. It challenges the actual ?mind-set? of mining management. It describes balance and equilibrium: physical, chemical, and biological in nature as an understanding of nature?s language, which is Geomimic along side ?the bottom line?. The goal is to minimize loss instead of maximize profits (waste design) at the design stage of mining and to develop clean technologies (nature's values) to achieve non-social environmental impacts that provide a prosperous legacy to future generations.

Jan 1, 2010

By Bruce Kennedy, Charles Bruce

MINERAL EXPLORATION 'The Function of Exploration Mineral exploration aims at locating the presence of economic deposits and establishing their nature, shape, and grade. As all ore bodies are finite, exploration is essentially the lifeblood of the mining industry. It is divided into two phases, reconnaissance and target investigation. It involves geological mapping, geophysical prospecting (aerial and ground or both), geochemical surveys, prospect drilling, and/or exploratory under-ground workings. Successful exploration is followed by development drilling, mine development, and eventually operation. In underground mining, the term "ore" is applied rather loosely to metalliferous rock that can be profit- ably mined, but nonmetallic industrial minerals and energy related materials constitute a large and growing portion of the tonnage extracted by underground methods each year. It is appropriate, therefore, to consider exploration as the search for any useful substance occurring in the earth or in the oceans that is of sufficient value as to volume, grade, chemical and physical com- position, and location as to make extraction by mining commercially profitable for the investment required. The Selection Process The search for ore includes hundreds of mineral commodities. The more successful exploration organizations tend to restrict the search to the mineral commodities for which they have strong exploration expertise and which have a high probability of being concentrated in areas open to exploration and development in sufficient volume, grade, and proximity to the surface to warrant the large expenditures of risk capital in finding an ore body. Special expertise is needed to engage in mineral exploration and development for the extended periods required for success. Individual prospectors continue to discover mineral occurrences, but it generally takes an organization with strong financial resources to carry the exploration process forward to the point of developing "ore." Still greater corporate resources in the form of management, engineering, and sales capability are needed to develop an ore body into an operating mine. In the past, companies other than those engaged in mining rarely conducted exploration, since they lacked the technical skills and know-how to bring a mine to fruition. A notable trend in recent years has been the success of other resource-oriented firms, such as petroleum companies, that have not only acquired the necessary skills to engage in exploration for hard minerals, but are doing so on a far more intensive scale than known in the industry heretofore. The desire to diversify from increasingly regulated oil and gas, the potential for the discovery of a bonanza, and the large scale of mining projects for these capital-intensive firms are the attractions. US government and certain international organizations, such as the United Nations, have fielded sizable exploration programs in the past decade on behalf of Third World countries wherein many of the world's higher grade deposits and scarce mineral resources are located. The level of overall mineral exploration in the industry is, regrettably, closely geared to the business cycle. Accelerated search during the periods of strong demand, shortages, and high prices, together with the long lead times necessary to develop mineral finds, often creates surges in supply which invariably are followed by a collapse in prices. The trend is, therefore, to exploration funding by larger better-endowed firms having the staying power to weather the cyclical nature of mining. Tax incentives, tariff policies, and other incentives have a decided impact on the level and nature of exploration. Surface mining regulations and environmental forces have fostered a renewed interest in under- ground development despite the lower average costs of surface mining. Spiraling inflation has caused mining costs to outpace prices for many mineral substances. Organizations increasingly are directing their search away from high- grade but limited tonnage occurrences toward low-grade disseminated bulk tonnages amenable to mining on a vast scale. Mining continues, therefore, to grow even more capital-intensive with half-billion-dollar mine-mill- smelter complexes now commonplace, compared with the hundred-million-dollar projects of a decade ago. Reconnaissance Exploration Having elected to search for specific mineral commodities, the exploration company narrows its focus to a reconnaissance of those regions offering the best potential. A working hypothesis which is constantly up- dated concerning the geologic controls for ore occurrence guides the search. The possibilities for discovery are best in areas of existing mines and known ore bodies, where the probabilities are high for additional ore occurrences. In such areas, published data on the trends and geologic controls of known mineral occurrences aid the search. Even in some remote territories, a variety of geologic data is available to the explorationist. The major sources of basic geologic data are the libraries of the US Geological Survey (USGS), the state geological surveys, the American Institute of Mining, Metallurgical, and Petroleum Engineers (AIME), the US Bureau of Mines, and various institutions such as Colorado School of Mines. Overseas, virtually all of the countries have their own geologic survey groups which are associated directly, or indirectly, with their respective ministries of mines. The objective of reconnaissance exploration is to narrow the search by pinpointing target areas having interesting mineralization. These favorable areas are then investigated in detail to delineate potential ore bodies.

Jan 1, 1982

By Goutam H. Shahani

The current economic downturn has been at the center of media attention for several years. Today, the mining and mineral sectors are being impacted by highly fluctuating supply-and-demand conditions, extreme price volatility and tremendous market uncertainty on a world-wide basis. There have been numerous plant closings, project cancellations and employee layoffs. In this gloomy economic environment, it is easy to forget that the world?s gross domestic product (GDP) has more than doubled in real terms during the last 30 years. While current market turbulence may continue for some time, the long-term trend is unmistakably upward. Living standards are rising all over the world, thereby creating demand for food, clothing, transportation and housing. This translates into tremendous demand for the mining and mineral sectors. In the future, new capacity and plant expansions will be necessary to meet this need. These investments, which typically have a life span of 30-plus years, will have to be based on long-term economic considerations rather than current market conditions.

Jan 1, 2011

By Zachary D. Jones

"Construction projects involve a great many risks. The risk that material prices will increase during construction or that the work under construction will be destroyed by fire, storm or some other act of God are just a few examples. In tunneling or other underground projects, one of the most significant risks is that the subsurface conditions encountered during construction will differ from what is expected. Each of these risks must be accounted for, managed and, ultimately, the duty of one party or the other to bear. The primary tool used to allocate the risks among the parties is the construction contract.How construction contracts allocate the risk that subsurface conditions will differ have changed substantially over the past century. Today, construction contracts typically allocate the risk through a series of provisions. The first is the differing site condition or changed condition clause. That clause, when included, typically provides that the owner bears the risk that the subsurface conditions will differ from what is indicated in the contract documents or what is reasonably expected. The second clause is one that provides that the contractor must conduct a reasonable site investigation and bear the risk of any conditions that such an investigation would reveal. The third provision includes disclaimers that are often included in geotechnical data provided by the owner (or the owner’s engineer) to the contractor which attempts to limit the information on which the contractor can rely. Because these risk-allocating devices seem to be somewhat conflicting, a brief discussion of each provides critical insight in understanding how the modern construction contract allocates the risk of differing site conditions.At the start of the 20th century, construction contracts looked substantially different than they do today. For example, one contract for the construction of a public water tunnel in Chicago, IL, drafted around 1895 contained the following clause:The contractor must take the work entirely at his own risk. No extra allowance will be made for quicksand, hardpan or boulders."

Jan 1, 2014

By A. A. Terchick

It has been reported in the literature that there is a substantial economic incentive for removing sulfur from coal. Therefore, U. s. Steel initiated an investigation to determine the feasibility of lowering the sulfur content of its Pittsburgh-seam coal. Preliminary crushing and washability studies on a representa-tive sample indicated that substantial sulfur reductions could be attained. Figure 1 shows the effect of the top size of a given coal sample on the sulfur content of the float-l.45 specific-gravity fraction of coal. At a top size of 3 inches, the raw-coal sulfur content of 2.32 percent was reduced to 1.64 percent. Crushing to a top size of 20 mesh reduced the raw-coal sulfur to 1.25 percent. Below a top size of one inch, the sulfur content decreased rapidly as top size was decreased. Figure 2 shows the effect of specific gravity of separation on pyritic sulfur. Normally this coal has an organic-sulfur content of approximately 1 percent. As expected, pyritic sulfur was reduced as the separating gravity was lowered for all the various size fractions shown. The rate of decrease in pyritic sulfur was gradual above 1.45 specific gravity, but great below 1.45. Greater sulfur reductions were attained on the coarser sizes with decreasing

Jan 1, 1971

By Ekkehart Mertins, Hans-Dieter Wasmuth

During the last years many new concepts have been presented for magnetic separation of feebly magnetic minerals by using the new high-duty permanent magnetic material especially in Open Gradient Magnet Systems (OGMS). In this respect KHD Humboldt Wedag AG developed an improved version of a drum-type magnetic separator called PERMOS® with a special magnetic field configuration for the NdFeB permanent magnets, which gives a magnetic field strength of at least 0.7 Tesla and a wide working zone outside the drum. The magnet system within the PERMOS® unit is no longer made of relatively large magnet blocks of alternating radial magnetisation; the system is now made up of a multitude of small NdFeB bars with a specially oriented magnetisation. This PERMOS® Open Gradient Magnetic Separator can be used for dry magnetic separations in "top-feed" and 'free-fall" feed configuration as well as in the conventional wet "drum-type" feed mode. It allows high throughput rates of up to 40 metric tons of solids per hour and meter of drum length without any clogging problems, even when strongly magnetic com-pounds are present in the feed material. The important design features and the actual machine characteristics of the improved PERMOS® units for dry and wet magnetic separation are described and typical examples for their commercial application for industrial minerals and for martitic iron ores are presented.

Jan 1, 1995

By Gordon M. Pugh, David G. Rasmussen

INTRODUCTION The two unit operations in cut-and-fill stoping that would benefit most from increased mechanization are drilling blastholes and moving broken ore to the ore¬passes. Drilling in current practice is done with hand¬held jackleg and stoper drills. Broken ore is commonly moved from the face to the orepass by a small slusher. This type of equipment can be easily moved through the raises. Hand-held drills have a slow drilling rate and require one operator for each machine. Drilling can be done much faster by small jumbo-mounted machines as two or more drills can be operated by one miner. Load-haul-dump (LHD) units move broken ore from the face to one or more orepasses at a much faster rate with less loss and dilution than slushers. These units are mobile and may be used at more than one place during a shift. The problem which must be overcome in applying this higher degree of mechanization is the restricted means of access inherent in current practices. Cut-and¬fill methods are usually applied to mining veins that are narrow, irregular in dip and strike, or where ground con¬ditions require the support of sand fill. The mechanized equipment which is needed to accomplish high produc¬tion cannot be raised or lowered through raises without being disassembled. A jumbo which will give the desired performance would be mounted on a rubber-tired carriage with a diesel engine for propulsion. Twin hydraulic booms run by a small air motor would carry pneumatic drills. Over¬all dimensions of the unit would be about 8 m (26 ft) in length, 1.6 m (5'/z ft) in width, and 1.6 m (5'/z ft) in height. An LHD of the desired capacity would be rubber¬tired and either diesel or electric-powered. The overall dimensions of a 2.3-m (3-cu yd) unit will be about 8 m (26 ft) in length, 1.8 m (6 ft) in width, and 1.5 m (5 ft) in height. It will weigh about 12 700 kg (28,000 1b). It can readily be seen that conventional raises can¬not handle this size equipment. The most desirable means of access enables equipment to be driven into the stoping areas. Ramps can enter the stope by being driven upward in the vein walls or by being developed in the vein on top of the fill as the stope advances. This ramp system not only permits the use of rubber-tired equipment in multiple working places but also enables its removal for repairs without component breakdown. In the proposed method, as in conventional cut-and¬fill stoping, sand fill will replace the mined-out ore. By constructing an inclined timber floor at one end of the stope, a ramp can be maintained on top of the fill and advanced as the stope is advanced cut by cut (Fig. 1). The ramp is, therefore, developed during the stoping process and is only driven as a tunnel when rising over and around the sill and crown pillars. A stoping section consists of three blocks of different geometric shapes. The first and last blocks to be mined will be triangular in the plane of the vein, and the blocks between will have the shape of parallelograms (Fig. 1). The first block will develop the initial ramp by breast stoping and filling to the ramp floor (Fig. 2). The ramp will need to be completed through to the next level be¬fore stoping of the subsequent block can begin. The subsequent blocks are mined by back stoping with the next ramp being developed at the other end of that block (Fig. 3). The length of each subsequent block can be varied without changing the slope of the ramp. As the new ramp is developed, the previous ramp is filled along with the stope cut. Access up and down is maintained through the stope. The final block is again breast stoped as no new ramp will be developed at the end line for jumbo egress. Boreholes provide ventilation between levels as well as utility access. They can also provide a secondary escapeway for personnel during periods of development. These boreholes would be located about 3 to 4.5 m (10 to 15 ft) in the footwall and spaced about 183 m (600 ft) apart along the vein. The orepasses are spaced about 61 m (200 ft) apart in the vein. This spacing allows not only a short tram for the LHD unit but also provides surge capacity for the ore between haulage trains. These passes are raised from the haulage levels. As development progresses, the raises are driven through the sill pillar, and then car¬ried in the fill as stoping progresses. Ventilation and utilities can be maintained through an orepass when it is not needed for ore. The end line orepasses are intended for this purpose as well as for personnel emergency egress. Overall dimensions and criteria assumed to illustrate the ramp method of access in a highly mechanized cut¬and-fill stope are: haulage level spacing of 61 m (200 ft); ramp gradient of 17%; average dip of approximately 1.57 rad (90°); initial stope length of 358 m (1177 ft); subsequent stope length of 179 m (588 ft); average stoping width of 3 m (10 ft) ; sill pillar thickness of 3.6 m (12 ft); crown pillar thickness of 1.8 m (6 ft); bored raises of 1.5-m (5-ft) diam; and cribbed orepasses of 1.2 x 1.2 m (4 x 4 ft) through the sill pillar and 1.2 m (4 ft) square inside the cribbed portion. DEVELOPMENT The ramp access system lends itself well to conduct¬ing the several phases of development concurrently. Haulage Drifts and Raises The first development step will be to drive the 3 x 3-m (10 x 10-ft) haulage drifts above and below

Jan 1, 1982

By Jr. Freed

Basic design features, details of the face ventilation system, roof support and Operator protection system, certified lighting, and in-mine evaluation plans are presented for an Automated Extraction System (AES) that has been designed to fill needs which are present in the Mining Industry. The philosophy of design and proposed operation of the machine, as well as the relationships between these factors, are reviewed. The AES is designed to help overcome production problems resulting from the regulation of roof control, clean-up, ventilation, dust suppression, and operator protection required by the Federal Coal Mine Health and Safety Act of 1969. The design permits more continuous operation and greatly improves operator safety. The machine is a full-face drum-type continuous miner which includes self-advancing, continuous temporary roof support and permanent roof support equipment. Onboard self-advancing face ventilation, dust suppression, and air scrubbing equipment are also included in the design. A further improvement over existing equipment is the incorporation of an automatic programmed cutting cycle control system. All mining functions including movements of the roof support system are handled by this automatic system.

Jan 1, 1978

By C. F. Kaiser

The Broken Hill proprietary company Limited grate kiln pellet plant (1) located at Whyalla in South Australia commenced production on May 13, 1968. During commissioning, about 25,000 long tons of fluxed pellets were produced. Plant performance was satisfactory and acceptable under the plant guarantee. For production reasons, it was necessary to curtail the fluxed pellet run and revert to the production of acid pellets. In 1970, some 250,000 long tons of fluxed pellets were produced under varying operating conditions to determine the requirements for optimum quality pellets at acceptable production rates. In excess of 180,000 long tons of these fluxed pellets were exported to Japan. Problems experienced in production of the fluxed pellets are detailed, and the quality of the fluxed pellets compared to that of normal acid pellets produced at Whyalla. Brief Plant Details Run of mine ore treated was predominantly soft and friable and contained an average of 66 per cent Fe, 1.7 per cent Si02 and 1.8 per cent Al203. The main iron mineral in the ore was hematite with some martite also present. Plant feed was ground dry in ball mills 11 ft in diameter by 29 ft long to a Blaine surface area of 1600 sq.cm/g and the ground ore was wetted in a pug mill. Balling was carried out in balling drums 10 ft in diameter by 32 ft long. Induration equipment included an eighteen windbox grate 12 ft 2 in. wide by 164 ft 1 in. long, a rotary kiln 18 ft 6 in. diameter by 118 ft 8 in. long and an annular cooler 50 ft mean diameter by 7 it wide.

Jan 1, 1972

By C. Hansen, J. Killey

This paper discusses the replacement of AEROFLOAT ® 1 25 promoter by AERO ® 5688 promoter at Sonora Mining Corp.'s California Mother Lode concentrator. Flotation concentrate is trucked 120 miles to a leach plant in Nevada, so the reduced mass resulting from higher gold grades and reduced talceous gangue and barren pyrite resulting from this change in promoters has brought about a major decrease in shipping costs. Preliminary laboratory testing indicated that free milling gold and controlled amounts of pyrite could be floated using Aero 5688 promoter with reduced dosages of Aero 350 xanthate.2 Extensive plant trials confirmed that the new reagent suite could indeed maintain gold recoveries while reducing total mass. Improved froth characteristics also improved operating flexibility in treating various ore types, and overall reagent costs have been reduced.

Jan 1, 1991

By MATT RENAUD, Mustafa Kumral

Mining corporations have spread their operations worldwide in the last few decades. The reason behind widening operations geographically can be seen as it being part of a risk diversification strategy. Given that the technical, financial and social risks are high, favorable deposits, taxation regimes and legislative frameworks create incentives for international mining operations. On the other hand, international mining activities add the risks of permitting, investing, operating and decommissioning to the corporations. These risks could emerge from defaulting, corruption, resource nationalism, social license to operate, and political and legislative uncertainties and instabilities.

By Dominique Francois-Bongarcon

The rational and optimal determination of the design of a mining exploitation is a very intricate and difficult problem : the parameters are numerous, some technical, some economic or technico-economic which cannot be fully controlled; beside, deposits are estimated from very limited information and the choice criteria are not always quantitative, the economic context has to be anticipated by several years, and even the technological limits can change tomorrow. So, although very clever and performing numerical algorithms have been developed in recent years for open-pit design, we consider that this problem has not really been solved satisfactorily until now. The reasons are that people have concentrated their efforts on informatical algorithmical problems, and have assumed that the technical and economical data are well defined at the time of the study, which is generally not true. In particular, the mere fact of assigning dollar- values to blocks in order to maximize the total cash-flow is generally unrealistic because of the uncertainty of the data used. Consequently, the significance of the unique pit obtained as a result of these algorithms is questionable.

Jan 1, 1981

By James M. King

Analytical models for transient groundwater phenomena, such as those of Theis, Cooper, and Jacob, are important but often limited tools for aquifer evaluation and drawdown prediction. Most were developed using simplifying assumptions which compromise their treatment of complex boundaries and most also contain functions that are mathematically complex and difficult to solve explicitly. Examples of such functions are the Bessel functions, the exponential integral, and similar well functions for leaky confined and water table aquifers. This paper describes the joint use of simple numerical techniques and numerical approximations of these functions to extend many analytical models beyond their conventional applications. The enhanced analytical methods represent many hydrologic problems more easily and realistically, permit a wider range of application, and often provide insight into the response of pumped groundwater systems without the need to resort to more complex numerical flow models. Use of the enhanced analytical methods usually requires the use of microcomputers due to the large number of computations. Examples presented here are the development and extension of type curves and the determination of drawdown distributions.

Jan 1, 1984