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By J. S. Aronofsky, R. Jenkins

A simple means of predicting the flowing well pressure history in a natural gas reservoir has been developed. The differential equation for unsteady radial flow of gases through porous media was solved by numerical methods using electronic punch card machines. The results obtained from these calculations are presented in a generalized form which is believed to be most convenient for engineering use. These results are compared with those presented in a paper by Bruce, et al4. An effective radius of drainage has been defined which permits the equation of steady state gas flow to be used easily to predict well pressures in gas reservoir depletion. An equivalent effective radius of drainage is defined for liquid flow systems and a comparison is made of the gas solution to the liquid solutions. INTRODUCTION This paper presents a numerical method for describing the transient flow of gases radially through a porous medium from which the production rate is specified. The results obtained from these calculations are presented in a generalized form which is believed to be the most convenient for engineering use. The principal application of these calculations should be to flow in natural gas reservoirs, in the interpretation of pressure drawdown tests, in the estimation of reserves, and in calculation of injection pressures required in gas injection and cycling operations. The evaluation of natural gas wells is based upon back-pressure tests in which measurements of production rate and flowing well pressure are made for periods of one, two, or more days. The flow is assumed to have stabilized at this time, and the observed values of pressure and production rate are used with standardized formulae to determine the well's allowable production rate. Furthermore, the results obtained from such a test of short time duration are extrapolated in such a manner to allow a prediction of what the well pressure will be at some future time for a specified (but possibly untested) flow rate. The manner of conducting such back-pressure tests suggests several questions as follows: 1. 'What is the definition of stabilized flow and what factors determine the length of time required for the flow to become stabilized? 2. How may the recorded values of pressure and rate be utilized? 3. As the well is produced and the reservoir pressure falls, how will the flowing well pressure change? Can this flowing well pressure be predicted from the back-pressure test? 4. Are the results obtainable from the test influenced by a particular procedure used in obtaining the results? 5. Is it possible to estimate the gross reservoir permeability from back-pressure data? It is not within the scope of this paper to provide solutions Or even to discuss adequately all the above questions. However. in considering such matters, the

Jan 1, 1955

by their overdogmatic picture of geology and their resulting drastic oversimplification and idealization of geologic features. I am in hearty disagreement with the recommendation that geophysics should be done by cooperative work between a geologist and a geophysi-cist. That arrangement would be comparable to doing petrography by having a physicist at the microscope and a geologist sitting by his side. The interpretation of the geological significance of geophysical data can be done efficiently only by a physicist who has become also a good geologist or by a geologist who is also a good geophysicist. Less Well-trained Men The rank and file, composing perhaps two-thirds of the personnel of exploratory geophysics, is not, and should not be, composed of highly trained men. The routine, stereotyped character of the work and the impossibility of promotion of more than a few from these lower ranks even under the best circumstances justify companies in filling the bulk of these rank and file positions with men having only a bachelor's degree at the most. There can be a wide range of training for such positions, although certain lines of study are preferred for certain kinds of work, and different employers have different preferences. For work in gravitational and magnetic prospecting, first preference will be for men having geological training and second for men with civil engineering training. In seismic work, men with geological training are preferred by some employers for computers; physicists, electrical engineers and all whose technical education has covered radio circuits are preferred for the other technical positions. Collegiate training in geophysical prospecting brings no preference and by many employers is given a slightly inferior rating. One large company seldom hires men who have just graduated with a major in geophysical prospecting. This prejudice is based on the reasoning that much of what is learned in college is obsolete or obsolescent, that most of the techniques learned in college will have to be unlearned, because different from those used by the employing company, and that in the long run additional courses in basic physics, mathematics and geology are of more value to a man than the courses on geophysical prospecting. DISCUSSION [This discussion refers to the five papers beginning on page 23 and ending on page 74.1 L. W. Blau,* Houston, Texas.—I have had some rather sad experiences with forecasting. For example, I could not foresee 10 years ago my present occupation, and I do not profess to be able to look ahead 10 years and tell anyone what he will be doing then. Referring to the point raised in the discussion, I do not know, for example, what the price of oil will be 10 years from now. If an appreciable number of

Jan 1, 1940

By FRANK RIEBERS

IN DISCUSSING the selection of a geophysical method, much of what the writer will say is applicable to any of the various methods and to their use in prospecting, whether for oil or for other minerals. Specifically, the writer's subject is the problem, particularly pressing on the Pacific Coast, of checking the rising cost of the discovery of new fields by the proper employment of geophysical methods. Table I was prepared from statistics published by the California State Milling Bureau. The writer selected five of the largest a:ld most active companies operating in California, segregated the number of wild-

Jan 1, 1930

By AIME AIME

UNDER the auspices of the Institute's Committee on Industrial Preparedness, a symposium was arranged for the Annual Meeting on the subject "Ores, Metals, and the War," with many well-known Government men and industrialists participating. Wilfred Sykes, president of the Inland Steel Co., of Chicago, presided, with C. K. Leith and Clyde Williams as vice-chairmen, Mr. Williams presiding over the latter part of the meeting. On the Auditorium stage in the Engineering Societies Building was a formidable corps of "experts," with an audience of several hundred to hear what they had to say and to ask questions.

Jan 1, 1942

By George S. Rice

MANY studies on ground movement and subsidence have been carried on by members of the Institute during the past year, but only a few papers have reached maturity. Two of the mining schools of this country have continued their interest in ground movement research. At Columbia University School of Mines, Philip Bucky has continued his investigations, employing photoelastic methods and the use of his centrifugal apparatus for testing what he termed "the strength and behavior of mining structures." Helmut Landsberg, of The Pennsylvania State College, has developed a convergence recorder similar in principle to that used by the

Jan 1, 1936

By W. M. Ross

AMONG the comparatively few A radical changes in mining equipment in recent years is the introduction and use to an ever greater degree of detachable bits for rock drills. Just how great the possible field for economic application of this innovation is, and to what ex- tent detachable bits are used instead of the conventional type of drill steel, are matters of conjecture. Just as a rough approximation, one might conceive that at least three-quarters of the drilling done in mines today could better be performed by steel with detachable bits, instead of only about one-quarter as at present.

Jan 1, 1939

In reply to inquiries and comments which have reached me since the publication of this paper, and in explanation of some seeming discrepancies between my statements in the text concerning the amount of displacement of the faults, on one hand, and certain figures in the plates on the other hand, I give here, with some additional remarks, my measurements of the displacements in the different sections, which it originally seemed unnecessary to print : By displacement, I mean neither the throw, i.e., the vertical distance apart of the two edges of a faulted bed (what Mr.

Jan 1, 1896

The testimony given before the Patent Committee of .the House of Representatives in connection with the bills to establish the Patent Office as an independent bureau, to establish a United States Court of Patent Appeals, and to increase the force and salaries in the Patent Office, has been completed. These bills were originated by the Patent Committee of the National Research Council and have received almost universal approval. The Committee of the House of Representatives is favorable to what this Committee of the Research Council is trying to accomplish but the proverbial inertia of Congress toward the Patent system needs outside stimulus.

Jan 12, 1919

By ME ME

IT just so happens that we do our best thinking while painting wood- work and last Saturday while finishing up the screens (the bugs come late where we live) the paint very nearly ran out. By adding turpentine, it just stretched. It was pretty thin for the job though, which made us think that that is just about what the situation is going to be in the mining industry if something isn't done to increase the number of enrollments in engineering curricula. Engineers are going to be spread too thin for the job at hand.

Jan 8, 1951

HE Hose Memorial Lecture, in memory of Henry Marion Howe, Past President of the Institute, was authorized in April, 1923, as an annual address to be delivered by invitation under the auspices of the Institute by an individual of recognized and outstanding attainment in the science and practice of iron and steel metallurgy or metallography, chosen by the Board of Directors upon recommendation of the Iron and Steel Division. The following were the Howe lectures and lecturers for the years indicated: 1924 What is Steel? By Albert Sauveur. 1925 Austenite and Austenitic Steels. By John A. Mathews.

Jan 1, 1946

Reynolds Jamaica Mines, Ltd., has received a $3+ million loan from ECA for the development of what are termed the largest bauxite deposits in the world in Jamaica, B.W.I. This amount is in addition to $11 million already provided. The new agreement calls for delivery of 750,000 tons a year beginning in early 1952. Inco has announced a new alloy containing 35 pet Ni which can be used for many purposes served by the old alloys which ran up to 70 pet Ni. The new alloy "Incoloy" is 35 pet Ni, 20 pet Cr, and the balance iron.

Jan 8, 1951

The Howe Memorial Lecture, in memory of Henry Marion Howe, Past President of the Institute, was authorized in April, 1923, as an annual address to be delivered by invitation under the auspices of the Institute by an individual of recognized and out- standing attainment in the science and practice of iron and steel metallurgy or metallography, chosen by the Board of Directors upon recommendation of the Iron and Steel Division. The follow- ing were the Howe lectures and lecturers for the years indicated: 1924 What is Steel? By Albert Sauveur. 1926 Austenite and Austenitic Steels. By John A. Mathews.

Jan 1, 1932

By L. O. Howard

THE CHAIRMAN (WALTER DOUGLAS, New York, N. Y.).--I presume, gentlemen, that Mr. Howard's experience with the Great Falls basic-lined converter has been as regards the tonnage produced from a single lining, perhaps, a world's record. About 6 months ago Mr. Howard shut down and tore out what was left of the first basic-lining which was installed at the Old Dominion, the lining having produced something over 70,000,000 lb. of copper. This was due probably not only to the very excellent grade of the matte which was produced by the smelter there,

Jan 12, 1916

By T. E. Burke-Gaffney

SHERRIT Gordon Mines transplanted a 2000- ton mining plant and concentrator along with a town and its people 165 miles into undeveloped and almost inaccessible country in shifting its base of operations to the new mine at Lynn Lake. Faced with ultimate exhaustion of its ore bodies at Sherridon, Manitoba, the company, beginning in 1938, carried out an intensive program of prospecting and exploration in search of a new property. Late in 1945, diamond drilling of a magnetic anomaly near a minor surface expression of metallic sulphides gave promise of what has developed into the Lynn Lake nickel-copper deposit.

Jan 6, 1953

By Brian W. Mackenzie

In this age of advancing technology, mining companies are confronted with increasing competitive forces. The depletion of high-grade deposits and the development of substitute materials are intensifying market competition. The accelerating activity of petroleum companies in mineral exploration is increasing competition for deposits. At the same time, the trend in government policy is towards a reduction in traditional mineral-industry incentives. To succeed, the mining company must respond to these changing economic conditions by developing a decision-making framework that can effectively contend with the new opportunities and constraints. What are the elements of such a decision-making framework?

Jan 1, 1970

What has been billed as the underground drilling technology of the 1980's got a dramatic head start when Boliden engineers at Stekenjokk decided to go with all hydraulic drilling for primary ore production and mine development. This application represents a major first in meeting the needs of high productivity, better energy utilization, and an improved drilling environment. At Stekenjokk, engineers chose three Atlas Copco Boomer H132 two-boom electro-hydraulic drill rigs with the COP 1038 rock drills. An additional single-boom Boomer H131 was also selected with the COP 1038 HD for roof bolting functions.

Jan 12, 1977

By N. J. Themelis

What is the "best" copper smelting technology? When a future Agricola examines the development of copper smelting in the 20th century, he will be amazed at how little took place in the first half of the century and how much in the second. In a period when the technology of transportation, communications and chemical processing advanced many fold, copper smelting remained practically static. The result of tightening energy supplies and stringent environmental controls in recent years has been a spate of development activity that not only is challenging the supremacy of the reverberatory furnace, but threatens to wipe out pyrometallurgical techniques entirely.

Jan 1, 1976

By N. B. Aughenbaugh, W. C. Patrick

The availability of a thorough, simple-to-use roof fall classification system is desirable for several reasons. First, such a system would expedite the reporting of falls for the purposes of estimating material removal costs, analyzing damage levels, and complying with federal regulations to report falls in certain areas of the mine. Second, the classification system would allow the mining engineer to record falls routinely with little time and effort expended. This would encourage him to make observations concerning what type of roof support would work best in a given situation. Third, and probably most important, an

Jan 1, 1980

By N. B. Aughenbaugh, W. C. Patrick

The availability of a thorough, simple-to-use roof fall classification system is desirable for several reasons. First, such a system would expedite the reporting of falls for the purposes of estimating material removal costs, analyzing damage levels, and complying with federal regulations to report falls in certain areas of the mine. Second, the classification system would allow the mining engineer to record falls routinely with little time and effort expended. This would encourage him to make observations concerning what type of roof support would work best in a given situation. Third, and probably most important, an

Jan 3, 1979

By Paul M. Tyler

MUCH information concerning pegmatites which was thought to be true a few years ago has been proved false, and what is now actually known about some pegmatites is not true of many others. The erratic and seemingly unpredictable structure and variable composition of this class of mineral deposits has been widely emphasized. Even parts of the same pegmatite body exhibit marked differences in texture, mineral composition, width, and attitude. Constructive geological thinking in respect to pegmatites now aims to establish general laws rather than to stress the confusing diversity of features having no special economic significance.

Jan 9, 1953