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The Rasmussen Ridge phosphate mine is owned by Agrium CPO and operated by a unit of Washington Group International. The mine, located in southeastern Idaho, received the Idaho Inter-Agency Reclamation Award from the Idaho Department of Lands. The phosphate mine, located northeast of Soda Springs, was honored for “Excellence in Ongoing Operations, Soft Rock Mines over 75Acres.” Charles Ross is Agrium CPO’s plant manager. He said, “We are honored to receive this award. This recognizes the commitment and dedication of our employees toward the protection of the environment. I am really proud of the people that work at the mine.”

Jan 1, 2005

By V. E. Chrapunov, T. V. Chnyrenkova, R. A. Isakova, V. A. Luganov

Arsenic-gold bearing ores are used as a flux in smelting or leached out to extract gold. To decrease arsenic content in processed materials and to break up the lattice to free the gold, raw materials are roasted. This article analyses the results of laboratory and pilot testing of dissociating and oxidizing roasting of gold-arsenic bearing concentrates. During the dissociation roasting under vacuum arsenic is sublimated into elemental and sulfide forms. The process allows to minimize the negative influence on the environment but requires costly engineering solutions. Roasting in a neutral medium or with limited quantity of oxygen in the gaseous phase makes it possible to sublimate arsenic in the form of oxides and sulfides and may be carried out in the autogeneous mode in fluid bed furnaces. If oxidizing roasting of the concentrates is done in the presence of soda, practically all arsenic and sulfur form water-soluble compounds and remain in cinder.

Jan 1, 2002

By S. Gallagher, A. Mayton

Introduction The mining industry has long been associated with a high incidence of low back disorders and pain (Klein et al. 1984, Leigh and Sheetz 1989, Brinckmann et al. 1998). It is believed that the higher incidence of these injuries among miners is the result of high exposures to postural demands, heavy manual work, and exposure to whole-body vibration (WBV). Recent work has indicated that miners involved with heavy lifting (especially in restricted spaces or on uneven ground) or who have been exposed to whole-body vibration in undamped seats experience noticeable changes in their spines that are consistent with degeneration of the intervetebral discs of the spine (Brinckmann et al. 1998). As will be described shortly, there is mounting evidence that disc degeneration plays a large role in the development of low back pain, particularly chronic back pain. Until fairly recently, medical doctors generally assumed that back pain was the result of muscle strain, ligament pain, or so-called “trigger points” (Bogduk, 1997). However, research supporting these mechanisms of pain has been very scant. When subjected to scientific scrutiny, none of these mechanisms has been shown to relate to back pain in a convincing manner. On the other hand, there are three mechanisms that have been shown to be highly associated with back pain in controlled scientific studies: sacroiliac pain (present in 13% of back pain sufferers) (Maigne et al. 1996), facet joint pain (present in 15 % of back pain sufferers) (Schwarzer et al 1994), and disc disruption and degeneration (present in 39% of chronic back pain sufferers) (Moneta et al. 1994). The latter mechanism, which bears the highest relationship to back pain that has been objectively demonstrated, will be the focus of this section. Scientists now believe they have a good idea how back pain may develop in cases involving disc disruption and degeneration (Bogduk 1997). As the spine experiences loading during lifting tasks or whole body vibration, the first structure to fail is called the vertebral endplate, which is a structure that attaches the disc of the spine to the vertebral body (Figure 1). The endplate typically experiences a fracture, which the body will attempt to heal by means of scar tissue. Unfortunately, this scar tissue impedes the flow of nutrition to the disc itself (discs are dependent on nutrition from the vertebral bones), and if the supply is reduced sufficiently, the disc will start to degenerate. As this degeneration process proceeds, fissures or tears in the fibers of the disc start to develop. If any of these tears is a grade 3 fissure (Figure 2), an inflammatory response occurs in the disc, which will lead to the well-known sensation of low back pain (Peng 2006).

Jan 1, 2007

This paper discusses the prediction of subsidence over partial extraction systems in thick coal seams. A model based on empirical techniques using influence functions is developed to calculate the surface ground settlements above extraction panels. Independent of the influence function, two field parameters, the subsidence factor and the angle of draw (limit angle) are required to define the model. Both these parameters are best observed from critical or super critical subsidence areas. However in thick seams, extraction widths are typically sub critical and therefore it was necessary to refine an estimation process for sub critical conditions. Partial extraction systems in NZ are characterised by variability with respect to extraction thickness and depth. As extraction proceeds along a panel, conditions deteriorate once the critical span width is exceeded and therefore percentage extraction decreases. A further variable was introduced to the modelling which allows for varying extraction sequences. Two comparisons with field observations, one over a partial extraction panel, the other over abandoned workings, showed the method gave good agreement to measured subsidence values.

Jan 1, 2002

By C. P. Lazzara, R. A. Franks, G. F. Friel, J. C. Edwards, J. J. Opferman

A series of four coal combustion experiments was conducted at the National Institute for Occupational Safety and Health's (NIOSH) Pittsburgh Research Laboratory (PRL) in the Safety Research Coal Mine (SRCM) to evaluate the response of fire sensors to a small 0.61 m square smoldering coal fire which transitions to flaming combustion in the presence of diesel emissions. An optical path smoke sensor alarmed earlier than a point type diffusion mode ionization smoke sensor which alarmed prior to a CO alert value of 5 PPM above ambient. The presence of steady state diesel emissions resulted in a decrease in the optical smoke sensor analog output voltage signal by less than 1.4 pct for the three coal fire experiments in which a diesel engine was operating, whereas the ionization smoke sensor output decreased between 10.8 and 26.7 pct after the initial surge of the diesel engine. A commercial diesel discriminating fire sensor did not alarm for a fire in the one experiment for which it was used. The results of the experiments demonstrated that an optical path smoke sensor might be used to detect a coal fire under the experimental conditions considered of starting a diesel engine followed by a slowly developing coal fire.

By S. Cossio, J. L. Noyola, R. Espinosa

"Minera Penmont’s La Herradura is a joint venture between Industrias Peñoles, S.A. de C.V. and Newmont Mining Corporation. The mine is located in the northern Mexican state of Sonora. La Herradura consists of an open pit mine with a two-stage crushing plant and heap leaching facility. Gold is recovered from the pregnant solution using the Merrill-Crowe process; production began in July 1998. La Herradura produces about 130 000 oz gold per year and its treatment capacity is approximately 22 000 t/d. Ore mineralization occurs in a shear zone with quartz and native gold. Gold distribution is quite heterogeneous due to coarse visible gold, which in some cases ranges from 100 to 600 microns.Sampling and assaying protocols were established during exploration and prior to start-up of operations, based on nomographs developed from early heterogeneity tests. However, as the coarse gold problem became noticeable, it was necessary to develop new sampling protocols to have an acceptable relative standard deviation to control the fundamental error within ± 15%.An experimental program was developed and conducted on a selected ore block consisting of 195 blastholes; regular ore grade control procedures were applied to both sets of data to evaluate the difference in results between the protocol established prior to start-up of operations (existing) and the new protocol (leaching). In the existing protocol, sub-sampling is done through riffle splitters, and coning and quartering. Fire assaying was used to estimate the gold content on a 50 g sample. In the leaching protocol, a 12 000 g sample of bottle-rolled cyanide was leached, and the leach residue was assayed on a 50 g sample using fire assaying, and a weighted average total gold content was calculated. Currently, a new alternative method is being evaluated, where sub-sampling is done using rotary splitters, and fire assay on a 50 g sample; in this rotary sampling protocol and for comparison purposes, gold assays were also repeated using the leaching protocol.Test results were compared in three groups: < 0.3 g/t (below cut-off), 0.3 to 0.8 g/t, and >0.8 g/t. Overall, results show that the protocol established prior to start-up of operations underestimates the gold assays. Detailed technical results, alternative options, and their implications are discussed in the paper."

Jan 1, 2004

By I Ross, C deWolfe

Block caving has been the favoured mining method for large underground hard rock mines for the last few decades. The orebody must be of a size large enough to cave and generally amenable to a caving method. Typically, these mines ranged from 15 000 to 50 000 tonnes per day (50 kt/d) and have been some of the largest and most productive underground mines in the world.Now mining companies, in the quest for improved shareholder return, are looking for higher production rates from new underground mines. Whether a ‘Greenfields’ development, or a replacement for ageing large open pit mines, minimising capital and maximising production has been a focus of project teams. These new block cave mines are what have become known as ‘super caves’. These caves range from 80 kt/d to over 150 kt/d and are being planned or constructed by several major mining companies including Codelco, Freeport-McMoRan, Newcrest and Rio Tinto.Issues facing these super caves include high initial capital costs, very long development periods and significant technical challenges. These issues tend to make it difficult to present an attractive business case for such a project.This paper will discuss some of the potential benefits as well as the technical challenges and risks of operating a mine with the block or panel caving method at these very high tonnage rates. Considerations including geotechnical conditions, development rates, panel widths and ore column heights are discussed. The risks associated with these technical challenges and potential benefits for successful approaches will also be discussed.CITATION:deWolfe, C and Ross, I, 2016. Super caves – benefits, considerations and risks, in Proceedings Seventh International Conference and Exhibition on Mass Mining (MassMin 2016), pp 51–58 (The Australasian Institute of Mining and Metallurgy: Melbourne).

May 9, 2016

By Enrique Mansilla Navarrete

El presente texto describe las investigaciones recientes sobre el uso del caolín como "rellenador" en las diferentes industrias y artes. Los "rellenadores" o "fillers" son materiales qúimicamente inertes, cuya acción es básicamente física. Entre las características de los "fillers" tenemos la densidad aparente, tamaño de partículas, capacidad de absorción, abrasividad, porosidad, comportamiento térmico y una velocidad de sedimentación adecuada. De acuerdo a estos parámetros señalados, se desarrolla un programa exploratorio, los métodos empleados y la descripción de su uso en algunos depósitos encontrados en Cajamarca.

Nov 8, 1982

By Harold M. Smith

Important discoveries of new oil fields were made in 1937 in the State of Illinois. Oil production, which was virtually constant during 1934, 1935, and 1936 at about 4,400,000 barrels a year, a increased to 7,499,000, barrels during 1937, and in 1938 this production was trebled. In 1939, 94,302,0003/ barrels were produced (almost four times the 1938 quantity), making Illinois one of the cost important oil-producing areas in the United States. The Bureau of Mines has analyzed 35 samples of petroleum from these new Illinois fields and presents the analyses herein. Included with them in this report are analyses of seven samples from fields developed before 1936.

Jan 1, 1940

By Harold M. Smith

[Important discoveries of new oil fields were made in 1937 in the State of Illinois. Oil production, which was virtually constant during 1934, 1935, and 1936 at about 4,400,000 barrels a year, a increased to 7,499,000, barrels during 1937, and in 1938 this production was trebled. In 1939, 94,302,0003/ barrels were produced (almost foot times the 1938 quantity), making Illinois one of the cost important oil-producing areas in the United States. The Bureau of Mines has analyzed 35 samples of petroleum from these new Illinois fields and presents the analyses herein. Included with them in this report are analyses of seven samples from fields developed before 1936.]

Jan 1, 1940

By Takashi Sasaoka

Chain Conveyor Cutter (CCC) is a chainsaw-type machine and originally developed for the construction of underground walls and/or ground improvements. CCC was developed from the accumulated technology of coal mining, combining the cutting technology of a shearer and the fuctions of chain conveyor. The CCC can cut harder soils and soft rocks, and vertically mixes the cut soils/rocks with cementing material selected through the discharging port installed at the bottom of the machine. In Indonesia, highwall mining trials have already been conducted in several coal mines. However, full-scale and regular operations have not been done yet due to the ground and machine control issues from their geological conditions. In order to overcome these problems, the application of CCC to highwall mining systems was proposed, and its applicability and technical issues to be solved were investigated in this research. This paper discribes the characteristics of CCC system and discusses the application of CCC to highwall mining systems.

Jan 1, 2012

By R.P. Edwards, B.C. Flintoff

Froth flotation is one of the most widely used and effective processes for mineral benefication. First introduced in 1911, flotation technology has seen many developments over the past 80-plus years. Innovations in reagent chemistry, equipment design, process analysis and process control have given design and plant engineers a powerful set of "tools" for process optimization. However, it does not follow that all flotation systems are optimized. As Klimpel observes: "The problem with the industrial flotation process is that it is relatively easy to get reasonable results, and relatively difficult to get excellent results." Klimpel [1988] While reasonable was sufficient in the past. competitive forces will make excellent necessary in the future. Judging by the activities in many Canadian plants this transition is already underway.

Jan 1, 1995

By Christoph Zschiesche

Managing complex material streams within a lead smelting/reduction process has a long history at Aurubis. After modernization of the secondary lead smelter in 1991, Aurubis operates an electric furnace and a Peirce Smith converter to process complex secondary materials. This process links the copper and the lead metallurgy allowing Aurubis to properly combine primary and secondary process lines to optimize the processing of complex raw materials and smelter intermediates. However, combination of copper and lead metallurgy processing requires a continuous evaluation as raw material quality and composition varies. This paper describes Aurubis lead smelter processing and provides some fundamental considerations to optimize the lead processing, in particular with aspects related to speiss formation

By S. Kahraman

The correlations between the modulus ratio and penetration rate of rotary and percussive drills were statistically investigated using the raw data obtained from the experimental works of different researchers. An inverse power law was found between the modulus ratio and the penetration rate of rotary and diamond drills. The penetration rate of rotary drills and diamond drills decrease with an increasing modulus ratio. The penetration rates of percussive drills increase with an increasing modulus ratio. There are significant linear correlations between the penetration rates of percussive drills and the modulus ratio. In one of the cases of percussive drilling, a strong correlation between the penetration rate and the modulus ratio was found for the rocks having a porosity value lower 1.23 %. It can be concluded that the modulus ratio might be a representative measure of rock drilling efficiency. However, further study is necessary to check the validity of the derived equations for other rock types. The effect of porosity on the correlations between the modulus ratio and penetration rate needs to be further investigated.

Jan 1, 2003

By Alec C. Bloem

A 55&apos; deep excavation encompassing almost a city block in London, Ontario required a lateral earth retention system to provide both temporary excavation support and a permanent groundwater cut-off wall for a proposed office complex. The system selected was an interlocking Drilled Shaft wall with 3-4 levels of tiebacks. The specifications required the system to be designed for movements or settlements around the excavation of ¼" max. Design to be by the Contractor with design parameters and a comprehensive soils report provided. An extensive system of instrumentation in the form of inclinometers and survey targets were used to monitor vertical and horizontal movements of the shoring system and adjacent properties. Introduction The project, One London Place, is a two phase office tower development in downtown London, Ontario. Phase one consists of a 24 storey office tower on the northwest part of the site, with five levels of below ground parking over the entire site "Figure 1". A second office tower will be constructed at a future date.

Jan 1, 1991

By E. P. Youngman

Tantalum is a rare element ; estimates indicate that there is less tantalum than gold in the earth's crust . After remaining a laboratory curiosity for many years , it was used to a limited extent and for relatively few years (1903- 1911) for incandescent electric-light -bulb filaments . Another wave of interest in tantalum appeared when its electrolytic-valve action was taken advantage of in charging storage batteries , especially for radio work . Tantalum chargers were eventually displaced by other types of chargers , but for a time they were manufac tured in sufficiently large numbers to create a demand for the metal and to bring about its production on a commercial scale in the United States . As tantalum became available in larger quantities and at substantially lower prices , and as high prices for platinum encouraged the employment of tantalum as a substitute , the metal was put to many new uses . Ferrotantalum was made and sold before the World War , and patents have been taken out for a number of special alloys for industrial purposes , but probably the largest use for the metal to-day is in vacuum tubes .

Aug 1, 1930

By A. Tobey Yu, W. Joseph Schlitt, Alfred Weiss, Frederic L. Kadey, Louis Kuchinic

Introduction The February and April 1984 issues of MINING ENGINEERING have already provided introduction to the long-range planning efforts of the Society of Mining Engineers (SME). These efforts are intended to provide the basis for effectively maintaining and improving the Society in the face of the changes that are besetting the mineral industry. This requires that SME recognize what changes are occurring and determine how these will impact the membership. Then a plan must be developed and implemented so that the Society successfully meets the challenges of the next decade. The Board of Directors has charged the Long Range Planning Commission with the responsibility for meeting these goals. This article provides a summary of the work done by the Management and Organization Committee of the Long-Range Planning Commission. This committee&apos;s task was to analyze the Society&apos;s current organizational structure and management process. Then a set of recommended improvements was to be developed. In doing this, the Committee has been careful to operate under that popular axiom, "If it ain&apos;t broke, don&apos;t fix it." Thus, changes were not proposed simply for the sake of change, but only where the present system appeared to be less effective than desired. Bases For Action The Committee began by establishing a set of premises about SME and its membership. These premises provided the bases for subsequent actions and recommendations by the Committee. Highlights from the premises included: • The Society should be run on a business-like basis. However, its "business" is that of a not-for-profit scientific, technical, and educational public institution. SME enables professionals involved in or associated with the mineral industry to serve the public purpose of benefitting mankind. • The Society operates as a national (US) organization with transnational (worldwide) interests. It recognizes its obligation to make its goods and services available to minerals professionals throughout the world. In addition, the Society recognizes its obligation to translate technology for the "lay" public, who then also become users of its goods and services. • The Society&apos;s Board of Directors is the policy-making body of SME and has final approval of all programs. These responsibilities will become greater when the Society becomes a separate corporation. • At present, the Society provides the following goods and services: publications, meetings/programming/short courses, academic education support, information dissemination - internal and external, and individual member services. • Planning is an ongoing process. It is best performed on a decentralized basis. That is, each major service category should have a responsible group authorized to conduct planning for that category, subject to the Society&apos;s master plan and the Board&apos;s approval. • The Society is privileged to have highly qualified and motivated members who volunteer their time and efforts on behalf of the Society. The best of these volunteers should rise to the highest positions of leadership - the Presidency of the Society and Institute (AIME). • The Sooiety is strongly committed to the protection and promotion of the history, traditions, and identity of AIME and the use of AIME as the unifying forum for the Constituent Societies. Identification of Potential Problems Once the premises about the Society and its membership were well in hand, the committee began examining the many facets of SME&apos;s organizational structure and management process. This was done in order to identify problems or potential problems in these areas. After considerable review and discussion, 10 areas of potential concern were called out for more detailed study and possible recommendations for improvement. These 10 areas include: • A lack of continuity at the Board level and among officers due to the established turnover policy. • A series of subboards that serve, by practice, to diffuse management authority and accountability, rather than enhance it. • A question as to whether the dissemination of information has been adequately planned, organized, and staffed. • An apparent illogical divisional organization. Two divisions are discipline oriented and two are commodity oriented. • A regional organization that does not adequately fulfill its purposes. • Uncertainties about the per-

Jan 6, 1984

By D. P. Lindroth

The Bureau of Mines is engaged in research on ground probing radars for detection of geologic hazards in advance of mining. Penetration distances and interpretation models depend on the dielectric properties and wave propagation characteristics for coal measure stratified media. Relative dielectric constants and dissipation factors were measured under ambient conditions for Pittsburgh Seam coal measure rock over the frequency range of 20 to 100 MHz by the susceptance-variation method. The rock types measured were representative sedimentary rock located above the Pittsburgh Coal Seam. Extreme values for the computed attenu-ation distance ranged from 1.7 m at 100 MHz for siltstone to 230 m at 20 MHz for a particular limestone.

Jan 1, 1984

By W. E. Stiles

A method is presented for predicting the performance of water flooding operations in depleted, or nearly depleted, petroleum reservoirs. The method makes use of permeability variations and the vertical distribution of productive capacity. From these two parameters can be calculated the produced water cut versus the oil recovery. Derivations of the mathematical analogy is shown and sample calculations and curves of prediction are presented. Comparison is made of the predicted and actual performance of a typical 5-spot in an Illinois water flood. INTRODUCTION The use of water as a flooding medium in both depleted and "flush" oil reservoirs is gaining greater recognition and acceptance. Many of the shallower fields, depleted by primary production, have been and are being subjected to water injection in order to obtain some part of the large volume of oil remaining after primary production. Some of the earlier water flood installation proved highly discouraging and the value of water flooding was often questioned. Many of these earlier floods were haphazardly selected and developed as little was known of the physical characteristics and contents of the producing formations. The prior evaluation of the flood performance was impossible. During the past decade the development of the required reservoir engineering tools-—core analysis, reservoir fluid analysis, electric logs, fluid flow formulae, etc.—has allowed the engineer to construct and apply the methods which are presently being used to evaluate the economic and mechanical susceptibility of a reservoir to flooding. This discussion will present a method for taking into account the effect of permeability variations in predicting the performance of water floods in depleted reservoirs. PERMEABILITY AND CAPACITY DISTRIBUTION It is generally agreed by most investigators that in a single phase system fluid will flow in a porous and permeable medium in proportion to the permeability of the medium. Producing formations are usually highly irregular in permeability, both vertically and horizontally. However, zones of higher or lower permeability are often found to exhibit lateral continuity. Thus, while structurally comparable stringers in adjacent wells may differ several fold in permeability values, they usually bear resemblance as being part of a general continuous higher or lower permeability section. It is generally agreed that where such stratification of permeability exists, injected water sweeps first the zones of higher permeability, and it is in these zones that "break-through" first occurs in the producing well. It is a basic assurnption of the presently described method that penetration of a water front follows the individual permeability variations as if such variations were continuous from input to producing well. This is admittedly not rigorously true, but can be justified as making possible a simplifying mathematical approach to an otherwise extremely complicated three dimensional flow problem. As a basis for study of the lateral flow of fluids in formations of irregular permeability, the irregularities may be conveniently represented by a permeability distribution curve and a capacity distribution curve. In obtaining these curves, the permeability values, regardless of their structural position in the formation, are rearranged in order of decreasing permeability. If these permeability values so arranged are plotted against the cumulative thickness, a permeability distribu- tion curve is obtained. This curve may then be likened to a "smoothed" permeability profile of the formation. In making comparison between different distribution curves it is convenient to state the permeabilities in terms of the ratio of the actual permeability values to the average permeability of the formation. These ratios termed "dimensionless permeabilities", are used in this paper rather than the permeabilities in terms of millidarcys. The capacity distribution curve is a lot of the cumulative capacity (starting with the highest permeabilities) versus the cumulative thickness. The capacity and thickness are given as fractions of the total capacity and thickness. Mathematically, the capacity distribution is the intergration of the permeability distribution curve. In practice it is convenient to first obtain the capacity distribution curve and derive from it a smoothed dimen-sionaless permeability curve. The method of obtaining the capacity distribution curve is illustrated in the successive column of Table 1, in which capacity and thickness are derived as fractions of their respective totals. If only a small number of permeability values are available, it is generally desirable to smooth the resultant curve. This has been done to give the capacity distribution curve shown in Figure 1. The differentiation of the capacity distribution curve to obtain the permeability distribution curve is shown in Table 2. Here, the capacity values are read from the smoothed curve at intervals of cumulative thickness, and the increments of capacity are divided by the increments of thickness to obtain the dimensionless permeability, K. Due to this stepwise procedure of calculation these premeability values must be plotted at the midpoints of the successive increments of thickness. The curve so obtained from these data is shown in Figure 1. The total area under the K&apos; curve is equal to unity.

Jan 1, 1949

By W. E. Stiles

A method is presented for predicting the performance of water flooding operations in depleted, or nearly depleted, petroleum reservoirs. The method makes use of permeability variations and the vertical distribution of productive capacity. From these two parameters can be calculated the produced water cut versus the oil recovery. Derivations of the mathematical analogy is shown and sample calculations and curves of prediction are presented. Comparison is made of the predicted and actual performance of a typical 5-spot in an Illinois water flood. INTRODUCTION The use of water as a flooding medium in both depleted and "flush" oil reservoirs is gaining greater recognition and acceptance. Many of the shallower fields, depleted by primary production, have been and are being subjected to water injection in order to obtain some part of the large volume of oil remaining after primary production. Some of the earlier water flood installation proved highly discouraging and the value of water flooding was often questioned. Many of these earlier floods were haphazardly selected and developed as little was known of the physical characteristics and contents of the producing formations. The prior evaluation of the flood performance was impossible. During the past decade the development of the required reservoir engineering tools-—core analysis, reservoir fluid analysis, electric logs, fluid flow formulae, etc.—has allowed the engineer to construct and apply the methods which are presently being used to evaluate the economic and mechanical susceptibility of a reservoir to flooding. This discussion will present a method for taking into account the effect of permeability variations in predicting the performance of water floods in depleted reservoirs. PERMEABILITY AND CAPACITY DISTRIBUTION It is generally agreed by most investigators that in a single phase system fluid will flow in a porous and permeable medium in proportion to the permeability of the medium. Producing formations are usually highly irregular in permeability, both vertically and horizontally. However, zones of higher or lower permeability are often found to exhibit lateral continuity. Thus, while structurally comparable stringers in adjacent wells may differ several fold in permeability values, they usually bear resemblance as being part of a general continuous higher or lower permeability section. It is generally agreed that where such stratification of permeability exists, injected water sweeps first the zones of higher permeability, and it is in these zones that "break-through" first occurs in the producing well. It is a basic assurnption of the presently described method that penetration of a water front follows the individual permeability variations as if such variations were continuous from input to producing well. This is admittedly not rigorously true, but can be justified as making possible a simplifying mathematical approach to an otherwise extremely complicated three dimensional flow problem. As a basis for study of the lateral flow of fluids in formations of irregular permeability, the irregularities may be conveniently represented by a permeability distribution curve and a capacity distribution curve. In obtaining these curves, the permeability values, regardless of their structural position in the formation, are rearranged in order of decreasing permeability. If these permeability values so arranged are plotted against the cumulative thickness, a permeability distribu- tion curve is obtained. This curve may then be likened to a "smoothed" permeability profile of the formation. In making comparison between different distribution curves it is convenient to state the permeabilities in terms of the ratio of the actual permeability values to the average permeability of the formation. These ratios termed "dimensionless permeabilities", are used in this paper rather than the permeabilities in terms of millidarcys. The capacity distribution curve is a lot of the cumulative capacity (starting with the highest permeabilities) versus the cumulative thickness. The capacity and thickness are given as fractions of the total capacity and thickness. Mathematically, the capacity distribution is the intergration of the permeability distribution curve. In practice it is convenient to first obtain the capacity distribution curve and derive from it a smoothed dimen-sionaless permeability curve. The method of obtaining the capacity distribution curve is illustrated in the successive column of Table 1, in which capacity and thickness are derived as fractions of their respective totals. If only a small number of permeability values are available, it is generally desirable to smooth the resultant curve. This has been done to give the capacity distribution curve shown in Figure 1. The differentiation of the capacity distribution curve to obtain the permeability distribution curve is shown in Table 2. Here, the capacity values are read from the smoothed curve at intervals of cumulative thickness, and the increments of capacity are divided by the increments of thickness to obtain the dimensionless permeability, K. Due to this stepwise procedure of calculation these premeability values must be plotted at the midpoints of the successive increments of thickness. The curve so obtained from these data is shown in Figure 1. The total area under the K&apos; curve is equal to unity.

Jan 1, 1949