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By H. D. Outmans

The paper presents a theoretical approach to the drilling problem based on rock mechanics and drilling fluid hydraulics at the bottom of the hole. The volume of the fractured rock around the vevtically penetrating bit tooth is expressed as a function of the tooth pressure, included tooth angle, drilling fluid pressure and formation characteristics on the assumption that fracturing is preceded by plastic flow. This assumption is verified by comparing the stress-strain state in the rock around the tooth to that in equivalent tri-axial compression tests described in the literature. An expression similar to the above is derived for the tooth penetration in the cuttings which have been retrained at the bottom. Combination of these two expressions leads to a relation between depth of tooth penetration in the virgin rock, the amount of cuttings retained and the other variables. By relating the cutting volume to the drilling rate, the hydraulic bit horsepower and the drilling fluid pressure, it is possible to arrive at formulas which express the drilling rate for viscous or turbulent flow at the cutting surface, for instant clearance, for retained cuttings, or for false tooth foundering as functions of such variables as the drilling fluid pressure, hydraulic horsepower at the bit, rotary speed and bit weight. Plotting the results as drilling curves and comparing them to published field and laboratory data justify the conclusion that the drilling model presented in this paper approximates the actual mechanism. The drilling curves serve to explain some characteristic features of the rotary drilling operation, and the equations may be used for numerical evaluation of the effect of changes in the magnitude of some of the variables on the drilling rate. INTRODUCTION Published laboratory data have established that consistent and relatively simple relations exist between the drilling rate and any one of the important variables. For instance, the drilling rate usually increases at an increasing rate with the bit weight. It increases at a decreasing rate with the rotary speed, decreases at a decreasing rate with increased drilling fluid pressure and plots as an S-shaped curve against the hydraulic horsepower at the bit. This relative simplicity seems difficult to understand considering that the drilling mechanism is a continuous process of generation and removal of innumerable individual cuttings, under different conditions for each. On the other hand, the drilling rate (although determined by this complicated process) only expresses the average rate at which cuttings are produced and cleared away. Ignorance of the drilling mechanism as far as individual cuttings are concerned, therefore, does not exclude the possibility of arriving at a concept of the drilling rate provided the mechanism is properly evaluated for the average cutting. It then may be concluded from the first sentence that this concept also should be rather simple in its final form, although not necessarily in its derivation. Two aspects of the drilling mechanism are difficult to evaluate — (1) the effect a penetrating drilling fluid has on the stresses around a bit tooth entering the formation and (2) the volume of rock fractured by a penetrating tooth which moves both vertically and horizontally. Thus, the scope of this paper has been limited to an evaluation of the drilling mechanism in formations which have a low permeability and are drilled with hard-formation bits. In the following sections, the drilling mechanism is analyzed in three steps. First, the effect of tooth pressure on the volume of fractured rock around the tooth is evaluated, assuming initially that the bottom of the hole is free of cuttings and, then, determining the effect of a layer of these cuttings. In the second section, the thickness of this layer is related to the drilling rate and the chip clearance time, and the latter to the hydraulic horsepower at the bit under conditions of laminar and viscous flow at the cutting surface. In the third section. the previous results are combined with the rotary speed into drilling equations which are then plotted and compared to experimental drilling curves. This section also contains some numerical examples of drilling rate computations. Some mathematical details are given in the appendixes. Finally, it should be mentioned that, although some drilling equations are already available, these equations (with the exception of one' which attempts to relate drilling rate to drilling fluid pressure) are all mathematical expressions for observed laboratory data; none considers the effect of delayed drill-cutting removal, an essential feature of the drilling mechanism.

Feb. 5, 1917. To the President, Executive Mansion, Washington, D. C. We, the presidents of the national societies of Civil, Mining, Mechanical and Electrical Engineers and of the United Engineering Society, with a membership of thirty thousand, cordially unite in supporting Congress and the Administration in its stand for freedom and safety on the seas, and we are confident that we represent the membership of the four societies in offering to assist toward the organization of engineers for service to our Country in case of war. GEORGE H. PEGRAM, President of the American Society of Civil Engineers. L. D. RICKETTS, President of the American Institute of Mining Engineers. IRA N. HOLLIS, President of the American Society of Mechanical Engineers. H. W. BUCK, President of the American Institute of Electrical Engineers. CHARLES F. RAND, President of the United Engineering Society.

Jan 3, 1917

Draftsman and transitman for coal mine work in Middle West. Salary $125 per month. No. 277. Technical graduate wanted for metallurgical work in experimental laboratory of large New England manufacturing concern. A knowledge of metallography of steel is essential. Practical experience is desirable but not required. No. 305. High-class man to install and take charge of a coal mining property. Must be experienced in handling labor and of good sound judgment. Work will require a man to be on the grounds practically all the time. The work is drift mining and is not gaseous. No. 306. Engineer familiar with the acid treatment and melting of cyanide precipitates; also a competent assayer. Applicant must be able to furnish good references. No. 307. Wanted-practical mining man, foreman, or superintendent for work in middle or southern Atlantic States. Salary $200 per month. No. 308.

Jan 5, 1918

By E. P. Jennings

(Read at the Amenia Meeting, October, 1877.) THE abundance and value of the tellurium minerals of Colorado is well known, but, as yet, few analyses have been made of them, and I offer these as a small contribution to the chemistry of these valuable ores. 1. Native Tellurium.-The specimens from which the analyses of this mineral were made are from the "John Jay" Mine, Boulder County, Colorado, where it occurs in quite large masses, though mixed with more or less silica and iron pyrites. It is usually a fine¬grained, tin-white mineral, but sometimes occurs in distorted, hexag¬onal prisms in cavities in the quartz. Before the blowpipe it gives the reactions for tellurium, sulphur and iron; by cupellation, it yields a small amount of gold. An analysis of a coarsely crystallized speci¬men gave the following results

Jan 1, 1878

By R. H. Sayre

.... The subject is one of great interest in every point of view to railroad managers and steel-rail makers. It has occurred to me that if in this connection your society would take up the matter of the shape or section of steel rails and the form of joint, and be able to arrive at such form for difEerent weight of rails as you could recommend to the railroa~ls of tbis country with a view of obtaining uniformity, it would be, in caseof adoption, of great value both to the railroads and makers of wils. My idea is that if botb your society and that of the civil engineers ahould join in the adoption of templates and their recoalmendation, it would be more likely tb have the desired effect. Youm truly, Robert H. Sayre..

Jan 1, 1881

By William P. Blake

In a former paper read at the Washington meeting of the Institute, February, 1881,' I presented a general view of the geology and veins of Tombstone as then developed. Considerable additions have been made to our knowledge of the oredeposits since that date, nearly all the mines having been worked down to the general wster-level of the district. This water was a bar to further progress in depth and costly pumps were erected at the Grand Central mine and at the Contention. By the united action of these pumps the water was gradually lowered, not only in these two mines, but in all the important mines of the district. Pending a consolidation of interests, or an equitable distribution of the cost of unwatering, both pumping-plants were destroyed by fire, and the mines were closed

Jan 1, 1904

At the Second Pan-American Scientific Congress, meeting in Washington, D. C., from Dec. 27, 1915 to Jan. 8, 1916, the following special topics will be discussed in each of the four sub-sections of Section VII, of which Hennen Jennings is Chairman: A. Mining.-The mining law of each country and the changes that may be made to aid the development of mineral resources. History of the mining industry in each country with reference to the beginnings of that industry. The development of the Patio process. Bibliography of mining. B. Metallurgy.-Present methods of concentrating ores and the development of concentration methods. International relations in the exchange of ores and metals. Bibliography of metallurgy. A. and B. Mining and Metallurgy.-Development of hydro-electric power for mining and metallurgy, the amount probably available, and specific benefits from its utilization.

Jan 1, 1916

By G. A. REINHA

GEO. F. COMSTOCK,* Niagara Falls, N. Y. (written discussion?).-On studying this paper it has occurred to the writer that possibly it was the drilling of the test cores that produced the strains which affected in-juriously the authors' unrested bars. They found that the machining had only a slight effect, but did they also investigate the effect of the drilling by trying rest applied to the bloom sections before the cores were drilled from then? The writer has heard of a similar effect of rest after machining on test bars from castings, and it would seem more reasonable that the ductility was increased because the rests relieved strains pro-duced in chilling the test cores from the blooms, than because of any peculiar combination of solidification and rolling strains in the blooms which did not exist in smaller billets.

Jan 11, 1919

THE late steel strike resulted in an unusual reversal of field when Brazilian interests shipped steel to the United States to assure completion of a blast furnace under construction in Cleveland for the national Volta Redonda mill. The furnace is one of the key factors in an expansion program scheduled to raise Brazilian steel production by 280,000 tons, bringing annual output to 1 million tons. The first consignment shipped to Cleveland included 500 tons of slab and plate steel, and was followed later by another 300 tons. Brazil wants to blow in the furnace by July 1, 1953, and the restricted allocation system brought about by the steel shortage offered a real threat to the deadline. Volta Redonda, established during World War II by Brazilian and American financing, accounts for more than half of Brazil's steel production.

Jan 1, 1952

Despite the uncertain political situation in Katanga, copper and cobalt mining and metallurgical operations of Union Miniere du Haut-Katanga were normal at the time of this writing. In fact operations continued normal after Congo independence on June 30, 1960, with copper and zinc production for that year being slightly higher than in 1959. United Nations military operations from September to December 1961 resulted in death, shutdowns and damage to company persons and installations. Nevertheless, results for that year were only slightly off normal production. Moise Tshombe delared Katanga a separate state after Congo independence. Although there has been tribal unrest, the new State has enjoyed relative calm and normal industry by comparison with other parts of the Congo as a result of the firm hand of Moise Tshombe's government and the continued presence of Belgian officials and technicians.

Jan 12, 1962

By William M. Courtis

While assaying some copper carbonate ore from the Frazer claims, Similakameen, B. C., I noticed that on parting the gold button a deep orange solution was formed. The button gave off pink bands in the nitric acid, which became deep orange at a short distance from it; and as it traveled over the surface of the porcelain dish, it left a deep orange track behind. As the button brightened in the cupel, it appeared to have a bronze color; but I have since found that when amarillium is in large excess of the gold, the button is a very dark gray. The button parted easily. To the orange solution I added a salt (NaCl) solution, shook in a silver testbottle, and filtered. With H2S I obtained a precipitate, which I supposed due to platinum. However, on further tests, it did

Jan 1, 1903

By F. R. Morral

HOT-DIPPED heat-treated zinc coatings on sheet steel were examined with X-rays. The phases identified were compared with those listed in the modern literature of the zinc-iron system. The zeta (FeZn13) phase is shown to correspond to the phase found by Schueler (1925) in heat-treated zinc coatings. An investigation was undertaken to determine the phases present in hot-dipped FIG. I.-SYSTEM IRON-ZINC ACCORDING TO J. SCHRAMM.11 heat-treated zinc coatings on steel sheets and wire. This kind of coating on wire was studied some years ago by Schueler1 by microscopic and chemical methods. He reported a new phase, FeZn10. Later, Clark and Stillwell,2 using X-ray crystal analysis, identified a new phase in ordinary galva-nized wire, which was assumed to be the FeZn10 phase.

Jan 1, 1940

By Robert H. Richards

It will hardly be worth while to spend time over the discovery of this mine, how lumps of galena were picked up and brought to town, and how legends were told of an old mine from which Revolutionary bullets were made. This is an entirely new mine, with no evidences of former or ancient workings in its immediate vicinity to guide or attract the prospector. The first pit was opened in May, 1874. In August I made a visit to this pit, which was 6 feet wide in the northwest direction, 12 feet long north 80° east, and 6 feet deep..About 4 tons of a galena carrying gray copper, siderite, and quartz, had been taken from this pit. The lumps were all of them evidently float specimens, and varied from 8 to 12 inches thick, and showed very distinct indica-

By R. S. Shoemaker, F. W. McQuiston

In this Monograph are presented operating data, operating costs, plant descriptions, and detailed flowsheets of twenty seven different cyanidation plants around the world. Twenty three of these are gold producers and four are primarily silver producers. With one exception, (Pueblo Viejo scheduled to start up in late 1974), all of the plants are operating at the time of this writing. Selection of operations was based on metallurgy and were grouped into free milling lode ores, other free milling ores, ores requiring sulfide flotation in addition to cyanidation, ores requiring roasting, telluride ores, South African ores, and silver ores. Each of the plants described illustrates some unique form of cyanidation metallurgy. It is the hope of the authors that publication of this Monograph will be an aid to metallurgists in bringing new and successful cyanidation ventures into operation.

Jan 1, 1975

By Robert R. Walden, LaMont West

KENTUCKY'S first acid-grade fluorspar flotation mill, shown in Fig. 1, was placed in operation Aug. 1, 1952, by the Pennsylvania Salt Manufacturing Co. at Mexico, Ky. During 1951 a critical shortage of acid-grade fluorspar developed and it became necessary for the company to produce part of its fluorspar requirements. In 1951 the company purchased the Crider and Lennen metallurgical fluorspar mill and an adjacent stockpile of tailing at Mexico, Ky. The tailing, assaying about 26 pct calcium fluoride, originated from log washer and jig mill concentrators in the area. As the mill did not have a fluorspar dryer or convenient rail facilities, the company leased the Burleson concentrator at Marion, Ky., where these facilities were available. At Marion, Ky., on the Illinois Central Railroad, dry acid-grade fluorspar is transported direct to the company's Calvert City, Ky., hydrofluoric acid plant.

Jan 5, 1954

By Joseph M. Chelini

A cash-flow factor is any figure acquired in an evaluation that effects the cash flow potential of an eventual operation. Table I is a list of some of these cash-flow factors. There are more, such as, the payments and penalties in a smelter schedule if the concentrate would be sent to a smelter. During an evaluation it is necessary to maintain a two-way flow of communication between the evaluation people and financing people. To accomplish this, it is necessary to translate the vocabulary of the evaluating people into the vocabulary of the financing people, or geologic and engineering jargon into dollars and cents. This is done by cash-flow studies in which cash-flow factors are input, which when logically manipulated using accepted rules and procedures of accounting, provide an output in dollars and cents.

Jan 5, 1972

By Benny Langston, Frank M. Jr. Stephens

IN recent years much attention has been given to recovery, treatment, and disposal of dusts discharged into the atmosphere from operations of industry. Considerable data has been accumulated on both operational1-4 and design5,6 of dust-collector equipment for commercial installations. On the other hand, there is almost no published data on design and construction of small-scale equipment to handle dust problems that arise in the ore-dressing laboratory. Dust-collection equipment such as multiclones, single-cyclones, scrubbers, chemical and mechanical filters, settling chambers, and electrostatic separators has proved its efficiency for collecting dust in industry. In the laboratory, however, the engineer is faced with the problem of collecting small quantities of dust, inexpensively, without diverting the major effort from the metallurgical problem to the problem of collecting dust produced by the process.

Jan 8, 1954

By E. William Heinrich

With the mounting emphasis on unconventional energy sources, total consumption of lithium minerals will increase significantly in the next decade. The recent development of the lithium battery, for example, may greatly boost the demand for lithium metal. At the same time, the growth in the ceramic, glass, and chemical industries is bound to increase the demand for lithium minerals. In fact, the entire consumption or utilization breakdown of lithium minerals will change considerably from its current pattern. Briefly, today's market for lithium minerals' can be grouped into three categories: (1) Lithium concentrates. Accounting for 57% of market use, these concentrates are beneficiated Li-A1 silicates for ceramic, glass, and glass-ceramic raw materials. The concentrates are chiefly spodumene; inverted iron-depleted beta-spodumene; and petalite or its isochemical decomposition product spodumene + quartz intergrowth ("squi"). In the past, lepidolite has also been used.

Jan 9, 1974

Weston Portable Electrodynamometer The Weston Electrical Instrument Co. of Newark, N. J., believes that problems hitherto considered impossible of solution in the designing of portable electrodynamometers have been solved in its new models. The voltmeter, Model 341, is an instrument' of precision adapted to use on alterating- or direct-current circuits, guaranteed to an accuracy of 0.25 per cent. full-scale value either on direct or alternating-current circuits of any frequency to 133 cycles per second and commercial frequencies even as high as 500 cycles per second with very slight error. The polyphase electrodynamometer, Model 329, is accurate to 0.5 per cent. under the same conditions.; Double ranges are furnished in all instruments of this model. All current ranges can be used for 100 per cent. overload indefinitely without introducing error in Models 310 and 329.

Jan 12, 1915

New Device Eliminates Blasting in Coal A non-explosive device developed by duPont utilizes the high pressure of a gas generated inside a steel tube which is inserted in a hole drilled in a coal seam to break down the face of coal. Chemical reaction is started by an electric current which produces heat to initiate the action. The same heat destroys the starter wire as soon as electric current is no longer needed. The tube containing the chemical is closed at the outer end by a plug with electrical connections, and at the other with a disk that is ruptured by the compressed gases formed. When the gas has been liberated in sufficient quantities to create a desired pressure the disk breaks and the released gas breaks down the coal face. The new device is called a Chemechol.

Jan 10, 1951