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By Richard B. Greenwalt

INTRODUCTION Direct reduction of iron ores has unquestionably become established as an important step in the worldwide steelmaking industry. The history of this development has been long and fraught with difficulty. In 1800, Champlain suggested the direct reduction concept using carbon and a shallow hearth vessel. Roughly 100 years later, Jones attempted a commercial process using carbon and producer gas in a rotary kiln. During the early years of this century, numerous attempts were made to start commercial direct reduction plants using such processes as Hoganas, Wiberg, Krupp-Renn, and others. Most of these were short lived, being abandoned due to a variety of technical and economical factors. Today, however, a new generation of direct reduction processes has emerged. We enter 1977 with at least 40 commercial plants in operation using 15 processes in 14 countries. These plants have combined total annual capacity of roughly 10 million tonnes of direct reduced product. Many articles have been written, and projections made, concerning the future growth potential for direct reduction. As is al- ways the case with projections, the numbers vary, but the outlook does not. Anyone who participated in the years of effort that have gone into this field of endeavor should be excited and justly rewarded by noting the shape of the curve in Figure 1.

Jan 1, 1977

(Members are urged to send in for this column any notes of interest concerning themselves or their fellow-members.) Members and guests who called at Institute headquarters during the period July 10, 1916 to August 1, 1916: W. A. Barnes, San Francisco, Cal. W. J. Mead, Madison, Wis. W. L. Bell, Davenport, Fla. Charles Mentzel, San Pedro, N. M. James P. Clarke, Jr., Little Rock, Ark. H. H. Miller, New York, N. Y. R. A. Carhart, Mitchell, S. D. W. E. Pomeroy, El Paso, Tex. G. M. Colvocoresses, Humboldt, Ariz. M. K. Rodgers, Los Angeles, Cal W. E. Defty, Phoenix, Ariz. S. C. Rodgers, Guanajuato, Mex. Carl F. Dietz, Worcester, Mass. John M. Baker and Hamilton W. Baker have resigned as general manager and mine superintendent respectively of the Baker Mines Co., of Oregon. After Aug. 1, their address will be 43 Emerson St., Denver, Colo.

Jan 9, 1916

By Kenyon Burch

ONE of the advantages presented by electric drive in many classes of work is the ease with which the electric motor can be controlled automatically. In a large number of cases certain features of the control are automatic-for example, the rate of acceleration may be limited automatically or the equipment may be stopped automatically at the limit of travel-but the equipment is started and ordinarily is stopped by hand. . In other cases the motion of the machinery is utilized to start, control the: speed, and stop the motor automatically, independently of any operator. A considerable proportion of the large mine hoists now in use have certain automatic features, particularly protective devices against over-winding, and, in some classes of electric hoists, devices for preventing excessive acceleration or retardation. The large automatic hoists discussed in this paper, however, are completely automatic, i.e., capable of snaking their trips without the presence of an operator at the control levers. According to circumstances, various advantages may be obtained by automatic control, chief of which are decreased power consumption', increased precision and safety of operation, and decreased, cost of attendance. The first step in the analysis of a prospective automatic mine hoist is to determine whether automatic operation is feasible at all. If men are to be hoisted, or levels changed, the attention of an operator is required for these purposes; but tinder some conditions it may be entirely practicable and advantageous to build the equipment so that, while provision is made for hoisting mien or changing levels, ore can be hoisted automatically from, any one level. If, however, an operator's attention is required every few minutes for changing levels, handling men or drills, or other work requiring hand control, it is obvious that automatic operation between times will not be of any, practical benefit.

Jan 3, 1916

By Edwin A. Zink, Gerald P. Zink, John E. Wolgamott

Recent advances in high-pressure water technology can be effectively employed in underground mining. The new equipment is based on standard industrial water cleaning hardware and is compatible with conventional mining techniques. Three viable applications are addressed: rock drilling, hole notching, and rock bolting. Highlights of test results are presented that were obtained in several underground mines during the last two years of development work.

Jan 1, 1982

By E. D. Fields, M. C. Tippett, S. W. Sayers

The Copper Canyon and Copper Basin properties of Duval Corp., in Lander Co., have been recently added to the list of porphyry copper mines in Nevada, marking the first new copper open pit operations in this state in 15 years. Ore is processed in the 4000 tpd flotation mill at Copper Canyon, with some copper being recovered by dump leaching. The ore from Copper Basin, 10 miles northeast of the Canyon, is trucked to the mill for concentration. Cost of developing the properties is estimated at $22 million. It was recognized at an early stage of exploration that the two deposits were quite different. Continuity, mineralogy and grade of ore are much more uniform in the Canyon than in the higher grade, pod-like deposits in the Basin. The fundamental difference between the two areas is that the Canyon mineralization is dominantly hypogene, whereas the Basin ores are secondarily enriched.

Jan 3, 1968

By R. I. Jaffee, H. R. Ogden, D. J. Maykuth

Phase diagrams for the Ti-W and Ti-Ta systems were determined. The Ti-W system is characterized by a wide, two-phase region of ß plus tungsten which is derived from a peritectic reaction between the liquid and tungsten solid solutions. The ß field terminates in a eutectoid reaction between a titanium and tungsten terminal solid solution. Tantalum and ß titanium form a complete series of solid solutions. Other features of this system are the extensive a-ß field at low temperatures and an appreciable solubility of tantalum in a titanium. BOTH tungsten and tantalum were first thought to form ß-isomorphous systems with titanium as a result of early work' using powder-metallurgical techniques. Later work2 on arc-melted Ti-Ta alloys, made using a commercial titanium base, showed that, in the range of 0 to 10 pct, tantalum was soluble in ß titanium and that the a solubility extended to between 2 and 5 pct Ta at 790 °C. The present investigation covered the entire alloy range in both systems and was chiefly concerned with high-purity alloys at the titanium-rich end. The constitution of titanium-rich alloys made with a commercial titanium base was reported by Holla-day, Kura, and Jackson.3, 4 As will be shown in detail later, the early prediction of a isomorphism was true for the case of the Ti-Ta system, but not for the Ti-W system. The results of this investigation will be presented first. The experimental methods used are described in the Appendix. Ti-W System The entire Ti-W phase diagram is shown in Fig. 1. Details of the titanium-rich side are shown in Fig. 2. The chief features of the system are a ß eutectoid and a high-temperature peritectic between liquid and tungsten solid solution. Melting Range: Examination of cast structures of low and medium-tungsten-content ingots showed cored ß phase as the primary constituent. Fig. 3a illustrates a typical cast structure for alloys in the range of 20 to 30 pct W. From 30 to 72 pct W, coring was very severe. Alloys containing 72 through 88 pct W, however, showed definite evidence of a peritectic reaction between the liquid and a terminal solid solution of titanium in tungsten. Fig. 3b shows the cast structure for an 80 pct W alloy. A 95 pct W alloy, shown in Fig. 4, consisted primarily of primary tungsten solid solution plus a small quantity of ß probably rejected during cooling. Incipient-melting experiments located the peritectic temperature between 1850" and 1900°C and indicated that the reacting phases are liquid containing about 25 pct W and tungsten terminal solid solution containing about 8 pct Ti. Figs. 5 and 6

Jan 1, 1954

By P. W. Bakarian

PREVIOUS determinations1,2,3 of the texture of magnesium and its alloys have shown only slight variations in the principal features of the structure. This investigation presents pole figures for magnesium and two of its alloys, in which differences of some magnitude will be shown. Schmid and Wassermann have considered the texture of magnesium in analogy with that of zinc-also a hexagonal lattice. Whereas the zinc texture is said to be derived primarily through basal slip and secondarily through {102}† twinning, the {102} twinning is considered impossible at the later stages of the rolling in magnesium because of its smaller axial ratio. This state of affairs appears reasonable for pure magnesium, but for alloy textures the situation is more complex. A double orientation similar to that found in zinc has been reported by J. D. Hanawalt,4 and the addition of small amounts of calcium to magnesium and its alloys to produce a double texture was noted by J. C. McDonald.5 The pole figures of this investigation, using an improved X-ray technique, show these various textures. The dependence of directional properties of rolled sheet on modifications of texture is well recognized. Correlation of physical properties with existing texture should be even more significant if quantitative valuations are attached to the various areas on the pole figures. Such a quantitative technique is developed herein. EXPERIMENTAL METHOD Two alloys were used, besides high-purity magnesium. In each case, the metal was extruded to bars 32 in. thick and hot-rolled to a thickness of about 0.075 in. It had been established previously that such a reduction was more than sufficient to eliminate the extruded structure. The rolling proceeded in the same direction as that of the extrusion, without any cross rolling. The temperatures corresponded to normal commercial practice, averaging around 600°F. A unique method of preparing the sample was developed in this work. Instead of using a flat specimen, a stem of the metal was cut out of the rolled sheet in the desired direction (rolling direction) as shown in Fig. 2. From a sheet of 0.075 to 0.065-in. gauge, the stem was cut to a square cross section with a jeweler's saw, rounded with a file and polishing paper to a diameter of 0.060 in, and evenly etched in dilute hydrochloric acid to a diameter of 0.038 ± 0.001 in. In this way, a cylinder of the original sheet with its axis in the desired direction was produced. By using this type of specimen for the pin-point pictures, any variance in the absorption of the diffracted beam at the various angular settings of the specimen, was completely eliminated.*

Jan 1, 1941

By Peter McKellar

The district around Bag bay in Shoal lake, meat of Lake of the Woods, in the Ontario western gold-fields, is attracting considerable attention at the present time as a gold-producer. A large number of gold-bearing veins have been prospected and mined to a considerable extent in the locality. On the whole they make a fair showing, considering the work done ; and some are undoubtedly rich—the Mikado, for instance. The principal mining companies that have been operating here are the Yum-Yum, Ontario Limited, Cornucopia, Engledue Concession, Tycoon, Toronto and Western and Mikado Cos. I will confine my remarks chiefly to the three companies last

Jan 1, 1900

ALBERT SAUVEUR, Chairman. A. A. STEVENSON, Vice-Chairman. HERBERT M. BOYLSTON, Secretary, Abbot Bldg., Cambridge, Mass. John Birkinbine, William Kelly, J. S. Unger, William H. Blauvelt, Charles Kirchhoff, Felix A. Vogel, James Gayley, Richard Moldenke, Leonard Waldo, Henry D. Hibbard, Joseph ANT. Richards, William R. Walker, Henry M. Howe, C. F. W. Rys, William R. Webster, Robert W. Hunt, E. Gybbon Spilsbury, Frederick W. Wood. J. E. Johnson, Jr., For the meeting of the Institute which is to be held in New York City, Oct. 16 and 17, 1913, the following program has been arranged: October 16, 1913, 10 A. M W. A. Forbes, Blast Furnace Gas Cleaning. W. H. Blauvelt, The Slagging Producer. Prof. F. Peter (Leoben, Austria), The Generation of Steam by Waste Heat from Furnaces. G. C. Stone, The Generation of Steam by Waste Heat from Regenerative Furnaces. W. R. Shinier, Over-Oxidation of Steel.

Jan 10, 1913

By C. W. Parisi

Use of high-expansion foam for controlling mine fires was first made known in a published announcement in June, 1956, by representatives of the Safety in Mines Research Establishment, Buxton, England. In 1957, the United States Bureau of Mines, interested in this new method of controlling mine fires which could not be approached or extinguished by conventional methods, began to investigate the practicability of the foam-plug technique under American mining conditions at its experimental coal mine in Bruceton, Pa. Results of these experiments proved the potentialities of controlling mine fires with foam. The USBM conducted numerous demonstrations at its experimental mine to show this foam-plug method to groups of coal mining men, many of which were impressed by the action of the foam as it moved away from the netting toward an open fire and its ability to control the fire in a very short time.

Jan 2, 1961

One of the engineering proposals in the last Congress which was of interest to engineers was the soldiers' land settlement plan proposed by Secretary Lane, under which returned soldiers, sailors and marines would be employed on construction work in the reclamation of swamp and arid lands and would thereafter be given preference in the selection and settlement of those lands. This bill failed in the fillibuster at the end of the session. It is likely that some sort of a plan for soldiers' settlement will come before the next Congress. A new bill has been written up for introduction at the next session which proposes an "infiltration method" of buying improved farms in established communities for' the soldiers' settlement purpose, under the authority and direction of the Farm Loan Board. The contrast of this bill to the one recommended by Secretary Lane is of vital importance to engineers at this time; first, because of the broad engineering improvement program that the latter bill proposes as against no engineering improvement under the infiltration plan; secondly, the community settlement plan of Secretary Lane means improvement of waste lands requiring much engineering work.

Jan 7, 1919

By M. W. Dumais, E. P. Abrahamson

In a paper by Abrahamson and Alexander concerning a series of correlations between electronic structure and property changes, it was hypothesized that each solute atom in a dilute solution had a characteristic volume of solvent atoms over which some form of electronic interaction occurred. From this description it is possible to picture the solute atoms as occurring in an ordered array for the most efficient arrangement. A recent review article2 has shown that some form of anomaly exists for a whole series of properties when dilute additions of tungsten are made to iron, of. Fig. 1. Any mechanism to fit one property must also be amenable to mechanisms for the other properties. The possibility of some structural change in this region appears to offer the best hope. The system chosen for investigation was the iron tungsten system. Zone-refined iron with zone-leveled tungsten additions were supplied by Materials Research Corp. as 3/8-in.-diam bars. Transmission electron microscopy was used to study the structure. One-quarter inch specimens of each alloy were cold-rolled to 10-mil sheets, cleaned, punched to electron-microscope specimen-holder size, and annealed in vacuum for 2 hr at 800°C and 2 hr at 700°C followed by a furnace cool. The specimens were attached to a platinum wire and the specimen edge and wire were painted prior to thinning in a solution of 10 pct perchloric acid in glacial acetic acid. It was believed that if ordering were present due to electronic interactions the polishing procedure chosen would provide a simultaneous combination of chemical attack and electropolishing to exhibit the ordered structure. The chemical attack would be expected to penetrate those areas equidistant from the tungsten atoms, while the electropolishing would serve to "plane off" the volumes where the chemical attack had taken place. If one of the ordered tungsten planes were parallel to the specimen face at the edge of the thinned hole, a plate or micalike structure would be expected. A typical result of this polishing is shown in Fig. 2. Here a series of plates can be seen lying one upon the other. In several other specimens the plates parallel to the electron beam have been observed, behaving like slices of bread in a loaf. These edge views coupled with moire patterns indicate that the minimum plate thickness is 37 to 42A. This is equivalent to a concentration of 455 at. ppm of W if a simple cubic superlat-tice exists, or one tungsten atom every twelve iron atoms on the ordered plane. It was further noted that the base iron exhibited no signs of platelike structure. As the concentrations increased above 100 at. ppm W the amount of plate material increased. Among the specimens investigated was that shown

Jan 1, 1967

By R. C. Ferguson, Harlowe Hardinge

Laboratory and plant data covering 12 different operations show that lower than "standard" ball mill speeds increase grinding efficiency. In the case of high pulp-level mills, the gain is so great that the increase in capital cost of the larger lower speed mill will pay for itself in less than a year's time. THE object of this paper is to show the economic advantage of operating ball mills at relatively slow speeds. Although many operators know that grinding costs are reduced by operating mills at low speeds, they seldom do so for a variety of reasons. When capital is limited, first cost is of primary importance, and installation of the less costly, highspeed mill is favored. When materials are in short supply, as during a war period, capacity rather than economy is the primary consideration. Existing mills are then speeded up to provide the desired increase in capacity, and new mills are purchased without consideration of maximum grinding efficiency. When the mill speed is increased to secure more production, the increase in grinding costs is often obscured by the total benefit derived from the additional output. This increase in grinding cost is seldom recognized as being sufficient to be worth correcting. For these reasons one may be lead to the erroneous conclusion that slow-speed operation is only occasionally applicable. The effect of mill speed on grinding efficiency has been studied in laboratory tests."! The results of some of these tests are given in tables I and I1 and fig. 1. In these tabulations, batch tests using ore charges of 125 to 200 lb were considered comparable to high pulp-level operation and charges of 50 to 100 lb comparable to low pulp-level operation. For the high pulp-level operation, these tests indicate the existence of a maximum in efficiency for operation at a speed of 50 pct of critical, both for the soft (dolomite) and hard (chert) ore. In low pulp-level operation, a decrease in speed increases the efficiency of grinding dolomite; no maximum of efficiency appears in the range of speeds tested. The results with chert were inconclusive. If the performance of large mills is indicated

Jan 1, 1951

By Harlowe Hardinge, R. C. Ferguson

Laboratory and plant data covering 12 different operations show that lower than "standard" ball mill speeds increase grinding efficiency. In the case of high pulp-level mills, the gain is so great that the increase in capital cost of the larger lower speed mill will pay for itself in less than a year's time. THE object of this paper is to show the economic advantage of operating ball mills at relatively slow speeds. Although many operators know that grinding costs are reduced by operating mills at low speeds, they seldom do so for a variety of reasons. When capital is limited, first cost is of primary importance, and installation of the less costly, highspeed mill is favored. When materials are in short supply, as during a war period, capacity rather than economy is the primary consideration. Existing mills are then speeded up to provide the desired increase in capacity, and new mills are purchased without consideration of maximum grinding efficiency. When the mill speed is increased to secure more production, the increase in grinding costs is often obscured by the total benefit derived from the additional output. This increase in grinding cost is seldom recognized as being sufficient to be worth correcting. For these reasons one may be lead to the erroneous conclusion that slow-speed operation is only occasionally applicable. The effect of mill speed on grinding efficiency has been studied in laboratory tests."! The results of some of these tests are given in tables I and I1 and fig. 1. In these tabulations, batch tests using ore charges of 125 to 200 lb were considered comparable to high pulp-level operation and charges of 50 to 100 lb comparable to low pulp-level operation. For the high pulp-level operation, these tests indicate the existence of a maximum in efficiency for operation at a speed of 50 pct of critical, both for the soft (dolomite) and hard (chert) ore. In low pulp-level operation, a decrease in speed increases the efficiency of grinding dolomite; no maximum of efficiency appears in the range of speeds tested. The results with chert were inconclusive. If the performance of large mills is indicated

Jan 1, 1951

By Lawrence Addicks

Discussion of the paper of LAWRENCE ADDICKS, presented at the San Francisco meeting, September, 1915, and printed in Bulletin No. 104, August, 1915, pp. 1471 to 1484. L. D. RICKETTS, New York, N. Y.--In the Southwest we have stored up millions of tons of tailings in which the copper exists partly as sulphide and partly in an oxidized condition. Mr. Addicks' first paper suggests a, likely process for the treatment of such material. His second paper 1 deals with the recovery of copper from clear solutions of notable strength, and such solutions may come from the sulphating roast or direct from the leaching of completely oxidized copper ores of which vast deposits are known to exist. What strikes me particularly about the latter paper is the keen perception shown and the clear manner in which the writer has attacked the fundamental principles of the process. He calls your attention to the fact that ferrous sulphate is necessary in the electrolyte and is an ideal depolarizer; that sulphurous acid must be, used to reduce the ferric sulphate produced and thus prevent re-solution of copper at the cathode; that mechanical agitation in the cell, in order to bring the ferrous sulphate in contact with the anode and the copper in contact with the cathode, is essential to efficient work; that lead anodes are

Jan 12, 1915

By H. C. Goodrich

THE earliest record of copper production from the state of Utah comes from "The Resources of Utah," by. Mr. Fabian, in 1872, wherein it is stated that the. Mammoth mine of East Tintic was located in 1870 and that the ores yielded a large percentage of copper, silver and gold. It is also stated that shipments had been made to Swansea, England, which assayed between $200 and $300 per ton. The Mammoth-Copperopolis mine was located in, 1870 and sold the year following to an English syndicate. Some copper was shipped to. England and in 1873 there was constructed a 15-stamp mill and two copper smelting furnaces; these were operated a few months and before the end of the year were closed down and the property sold for debt. . This property -vas reorganized in 1879 and is at the present day a producer, though its principal product now is lead and silver. While a certain amount of copper has always been coming from the various lead-silver camps of Utah, the real history of copper in Utah should start with the discovery of the mines in Bingham Canyon, located about 25 miles to the southwest from Salt Lake City.

Jan 1, 1925

By AIME AIME

THIS year's Chairman of the Mineral industry Education Division is, like his predecessors, no novice in that field, having been in 1928 Chairman of the Engineering Education Committee which labored so well that it was enlarged into a Division of the Institute's activities . For almost a quarter of a century lie has been a dean in mining and engineering schools, with considerable experience before that as a teacher. A native-born New Englander (June 23, 1881), he naturally went to Massachusetts Institute of Technology where he received the Bachelor's degree in mining in 1904. Just why a Fitchburg. Massachusetts boy yearned to he a mining engineer he has never explained, but why should any boy ever have to explain why lie wants t? be a mining engineer? Like the old rhyme about the reasons why a man should drink, "any other reason why" is adequate..

Jan 1, 1945

By H. A. Sawin, C.M. Romanowitz

Placer dredging as we know it today, especially gold dredging, is an industry about 40 years old, dating from the beginning of this century, when a few mining men in California saw the possibilities in adapting earlier dredging methods to California placer fields in and immediately adjacent to streams. At first it was thought that dredges must be operated in existing stream beds, but experience soon pointed the way to dredging alluvial deposits of old stream beds, operating on landlocked dredging ponds. Within the first five or six years of modern dredging, experience was gained so rapidly that dredges to dig 60 ft. below water level were *designed and built. This depth was believed by many operators to be the maximum at which successful dredging could be carried on. Alluvial deposits of gold, suitable for dredging, were readily handled by equipment available and developed early in the industry's history. Much of the gravel was easily dug and if deposits were cemented, contained large boulders, or for some other reason could not be handled by a dredge, the ground was abandoned in favor of other deposits that could be handled easily. Many failures, adversely affecting the dredging industry, resulted from attempts at that time to extend the scope of placer dredging with equipment not suited to the formation being dredged. Dredging ground suited to early equipment was exhausted eventually, but many supposedly undredgeable alluvial fields containing gold in commercial quantities were found and became known to dredgemen. Improved equipment was needed to work deposits known to exist at great depths or associated with unusual obstructions. Operating companies looked to dredge manufacturers and metallurgists, particularly manganese-steel foundries, for improved designs and materials. Experience developed in California has spread throughout the world, and dredges of improved types have been adapted to the mining of platinum and tin as well as gold. Space will not permit a description of all the improvements in dredging since the early days, but a few of the recent developments are worthy of note, because they make possible the dredging of placer deposits of great depth, those having hard, irregular bedrock or containing large boulders in great quantities, and compacted or cemented gravel deposits. Deep Dredging At Hammonton, calif., yuba consolidated Gold Fields has, within= the past two years, built its dredge No. 20. The company has operated continuously in that field since 1904, digging successively at maximum depths of 60 ft., 80 ft., 112 ft., and now 124 ft. below water level. The first dredges were equipped with buckets of 6 and 7½-cu. ft. capacity; six dredges operating in the field today have 18-cu. ft. buckets, digging now 65 to 124 ft. below water level. Some ground near Hammonton has been dug for the third time, owing to the devel-

Jan 1, 1943

By C. M. Romanowitz, H. A. Sawin

Placer dredging as we know it today, especially gold dredging, is an industry about 40 years old, dating from the beginning of this century, when a few mining men in California saw the possibilities in adapting earlier dredging methods to California placer fields in and immediately adjacent to streams. At first it was thought that dredges must be operated in existing stream beds, but experience soon pointed the way to dredging alluvial deposits of old stream beds, operating on landlocked dredging ponds. Within the first five or six years of modern dredging, experience was gained so rapidly that dredges to dig 60 ft. below water level were *designed and built. This depth was believed by many operators to be the maximum at which successful dredging could be carried on. Alluvial deposits of gold, suitable for dredging, were readily handled by equipment available and developed early in the industry's history. Much of the gravel was easily dug and if deposits were cemented, contained large boulders, or for some other reason could not be handled by a dredge, the ground was abandoned in favor of other deposits that could be handled easily. Many failures, adversely affecting the dredging industry, resulted from attempts at that time to extend the scope of placer dredging with equipment not suited to the formation being dredged. Dredging ground suited to early equipment was exhausted eventually, but many supposedly undredgeable alluvial fields containing gold in commercial quantities were found and became known to dredgemen. Improved equipment was needed to work deposits known to exist at great depths or associated with unusual obstructions. Operating companies looked to dredge manufacturers and metallurgists, particularly manganese-steel foundries, for improved designs and materials. Experience developed in California has spread throughout the world, and dredges of improved types have been adapted to the mining of platinum and tin as well as gold. Space will not permit a description of all the improvements in dredging since the early days, but a few of the recent developments are worthy of note, because they make possible the dredging of placer deposits of great depth, those having hard, irregular bedrock or containing large boulders in great quantities, and compacted or cemented gravel deposits. Deep Dredging At Hammonton, calif., yuba consolidated Gold Fields has, within= the past two years, built its dredge No. 20. The company has operated continuously in that field since 1904, digging successively at maximum depths of 60 ft., 80 ft., 112 ft., and now 124 ft. below water level. The first dredges were equipped with buckets of 6 and 7½-cu. ft. capacity; six dredges operating in the field today have 18-cu. ft. buckets, digging now 65 to 124 ft. below water level. Some ground near Hammonton has been dug for the third time, owing to the devel-

Jan 1, 1943

By R. Al-Hussainy, H. J. Ramey

Previous gas well test analyses have been based mainly upon linearizations of ideal gas flow results, although a method for drawdown analysis based upon real gas flow results has been proposed. Linearizations based upon ideal gas flow require estimation of gas physical properties at Tome sort of average pressure, and implicitly involve the assumption that pressure gradients are small everywhere in the reservoir. A new real gas flow equation has been developed by means of a substitution which couples presTure, viscosity and gas law deviation factor. This sub-stitution has been called the real gas pseudo-pressure. Use of the real gas pseudo-pressure leads to simple equations describing real gas flow which do not contain pressure-dependent gas properties, and which do not require the assumption of small pressure gradients everywhere in the flow system. Equations required to determine flow capacity, well condition and static formation pressure from pressure drawdown and build-up tests with the real gas pseudo-pressure concept are presented. Also shown are applications of the real gas pseudo-pressure to back-pressure testing, the gas materials balance and rigorous determination of average gas properties for previous gas flow equations. Included are sample calculations for well test analyses. INTRODUCTION A recent study' of the flow of the transient flow of real gases in ideal radial systems showed that it is possible to consider gas physical property dependence upon pressure by means of a substitution called the real gas pseudo-pressure. The substitution has the advantage that it enables engineering solutions for steady and transient flow of real gases that are more accurate and general than those previously available. The solutions are particularly important for the case of gas flow in tight, high-pressure formations under large drawdowns. Even for more ideal flow conditions, the real gas pseudo-pressure concept leads to important rules for finding average gas physical properties pertinent for older well test analyses. Ref. I provides a detailed study of the theory behind the real gas flow correlations to be used in this paper. The purpose of this paper is to provide necessary engineering forms for use of the real gas flow results, and to illustrate applications. The following considers flow of real gases in an ideal radial flow system. It is assumed that: (1) formation thickness, porosity, water saturation, absolute permeability, temperature and gas composition are constant; (2) gas compressibility and density are functions of pressure as described by the gas law pv = znRT; (3) gas viscosrty is a function of pressure; (4) effective permeability to gas may be a function of pressure to account for liquid condensation; (5) condensate is immobile; and (6) the formation has no dip.

Jan 1, 1967