THE COLLIERY GUARDIAN AND JOURNAL OF THE COAL AND IRON TRADES. Vol. CXII. FRIDAY, JULY 7, 1916. No. 2897. Mine Ventilation Stoppings.* By R. Y. WILLIAMS. The data given below were obtained through an inves- tigation conducted under a co-operative agreement between the United States Bureau of Mines, the Illinois State Geological Survey, and the department of mining engineering of the University of Illinois. Method of Presenting Cost Data. The method adopted for presenting cost data in this report is as follows :—All the installation and mainten- ance charges, including first cost, maintenance, renewals, and emergency repairs, have been reduced to an annuity basis so as to show the amount of money that must be set aside annually to cover the upkeep, and to provide for the amortisation of capital at the current rate of interest for a given term of years. ■i-Z" ■ ■ *• I Fig. 1.—Stopping Faced with Slate and Roof Coal. A great many types of stoppings are in use in the coal mines of Illinois, the types varying from efficient concrete stoppings to inefficient stoppings constructed of powder cans and coal dust. The following nine types were considered:—(1) Board stopping, rough lumber; (2) board stopping, tongue and groove; (3) board stop- ping, planed on two sides and painted; (4) brick stopping, 4 in. wall; (5) brick stopping, 8 in. wall; (6) concrete monolith, 8 in. wall; (7) concrete blocks, 8 in. wall; (8) slate or gob, dry wall; (9) slate or gob, faced with cement. The main purpose of the investigation was to suggest a way in which a superintendent or mine manager may solve mine stopping problems by substi- tuting particular values for those given in the tables. Sizes of Stoppings. The dimensions of stoppings vary, as follow :— Height, 4 ft. 6 in. to 9 ft.; width, 8 ft. to 25 ft.; thick- ness, 1 in. to 20 ft.; average surface area, 79 sq. ft. The variations in height are due to differences both in the thickness of the coal and in the physical properties of the beds. In some of the beds a strong top coal is left as the roof, and in others a “ draw slate ” above the coal is removed in mining. Otherwise the stopping height is usually the same as the thickness of the coal bed. The width of stoppings varies between the wide limits mentioned above because of the attempt at some mines to reduce the yardage in cross-cuts by driving them full width. The objections to that method are that wide areas of roof are left unsupported, and that wide stop- pings increase the air leakage. Except in gob stoppings, the width of stopping is made 12 to 36 in. wider than the cross-cut, in order that the stopping may be “ set in ” a groove or channel which is cut in the rib to make a tight joint. The thickness of the stopping varies with the material of which it is constructed, and, in the case of gob stoppings, with the amount of waste rock made in entry driving. As cross-cuts in Illinois mines should have an area of not less than 36 sq. ft. when used for the passage of air, the smallest stopping will have a surface area, including the groove, of about 50 sq. ft. The higher limit should not be over 100 sq. ft. In the following tables, all data relating to stoppings are reduced to a common basis, that for a stopping having an area of 80 sq.ft., which is approximately the average size of Illinois stoppings. Number of Stoppings Required. In the usual room-and-pillar mines in Illinois, where the coal beds average 5| ft. in thickness, and cross-cuts * From Bulletin 99, U.S.A. Bureau of Mines. are driven on 70 ft. centres, the building of two entry stoppings for every acre of coal bed developed is required. In that State in 1913 there were 114 indi- vidual mines, with an output of more than 200,000 tons of coal. This output required at each mine the develop- ment of about 50 acres and the construction of 100 new entry stoppings, of which 25 per cent, were on main entries and 75 per cent, on cross entries. Cost of Erecting and Maintaining Stoppings. Where a coal bed must be developed by expensive shafts, it is considered necessary to have at least 2,000 acres tributary to each hoisting shaft. This acreage will require 4,000 stoppings, having a first cost of 20,000 to 60,000 dols., a fact that shows how heavy an item in the development of a coal mine the cost of stoppings may be. In order to show the annual expense necessary to bring about the amortisation of the first cost at the end of the period of years during which service is required, the following formula may be used :— . _ C r X ' (1 + r)" - 1 where C = first cost in dollars for construction; n = number of years of service required of stopping; r = current.rate of interest; n = number of dollairs that must be put away at r interest which will yield C dollars in n years; and xr = annual expense necessary to yield C dollars in n years. —___ Fig. 2.—Stopping Faced with ( lay. Most of the main-entry stoppings and many of those on the cross entries must be kept in good repair in order that the ventilation for any given development may be maintained in accordance with the State mining law. In carelessly constructed stoppings of lumber or gob material it has frequently been found that the maintenance cost amounted to 1 dol. per stopping per year—a figure that is larger than the annual expense due to the first cost of a substantial stopping with amortisation in a 15-year period. The annual maintenance charges, therefore, assume importance in mine economy. When the length of service required of a stopping is longer than the life of the materials used in construction, renewals will be necessary. The average main-entry stopping will have to give 15 years of service, and the cross-entry stopping three years. The choice of the type of stopping, therefore, should follow a comparison of the probable length of service of the stopping with the life of the materials to be used in its construction. There are, in addition, extraordinary agencies that destroy stoppings, some of these agencies partly or wholly wrecking certain types of stoppings, and yet in no way injuring other types. Such agencies are—fires, windy shots, blown-out shots, explosions, local roof falls, general mine squeezes, and water. In order to obtain the annual expense for emergency repairs on the different kinds of mine stoppings, informa- tion was obtained from coal operators regarding the number of stoppings and the cost of repairs each year because of these extraordinary agencies. The quotient obtained by dividing the total cost by the number of stoppings in use at the particular mine was charged to each stopping as the annual cost of emergency repairs. For example, at one mine the records showed that 18 stoppings were destroyed by windy or blown-out shots; the cost of each repair averaged 6-67 dols.; the total cost was 120-06dols., and, as 1,000 stoppings were in use, the expense to be distributed over each stopping was 12 c. per annum. Cost of Air Leaks Through Stoppings. The sole purpose of a stopping is to prevent the air of the ventilating current from passing through the cross-cut in which the stopping stands. The Illinois mining law specifies the minimum amount of air that must be delivered to each man per minute. With a given number of men, therefore, a definite quantity of air per minute should pass through the last cross-cut of each split. If the stoppings are absolutely tight, the horse-power required by the fan to furnish this air may be obtained by the formula tt k sv3 Horse-power = - where k = 0'0000000217*; s = rubbing surface in square feet; and v = velocity in feet per minute. If the stoppings are not tight, air will leak through each cross-cut, the amount of leakage depending on the area of the hole or crack in the stopping, and on the difference between the air pressures on the two sides. It is obvious that if air is lost before it reaches the working faces, additional air must be delivered by the fan in order to have the desired volume reach the last cross-cut. Inasmuch as the horse-power required to move the air varies as the cube of the velocity, a serious leakage will require a great increase of horse-power to move the larger volume of air at the higher velocity. At Illinois coal mines a horse-power costs about 40 dols. per year, including all engine and transmission losses. Therefore, if the quantity of air lost be known, it is possible to figure accurately the cost of the leaks through the mine stoppings. This cost of stopping inefficiency should be charged against the cost of stoppings quite as much as first cost, maintenance charges, etc. In obtaining the data and in making the computations for determining the cost of horse-power lost by the leakage of air through mine stoppings the following method was used : In the entry or part of an entry chosen the stoppings were all of the same type of construction and the travel of the air was confined to the entry. The stoppings were examined, and their number, type, cost, condition, etc., were recorded. The volumes of air passing the starting and the finishing points on the entry were carefully measured. Fig. 3.—Lumber Stopping Faced with Wood-fibre Cement. The difference between the volume at the starting point and that at the finishing point was taken to repre- sent air lost through the stoppings. As all the stoppings were of the same type in each test and as their number was small, it was assumed that the air leaked equally through each stopping. * The value of k is empiric, and is based on investigation by J. J. Atkinson. Other investigations have given different values. The friction constant should vary for the different points of air passage in the mine; but as the result would complicate without seriously affecting the present problem, the generally used value of k a« given is assumed to operate continuously. 391233