1044 THE COLLIERY GUARDIAN. June 1, 1917. In 1913 Goldreich. published a work on the theory of land subsidence in coal regions, and followed this with a volume entitled “ Land Movements in the Coal District and their Influence on the Surface.” He criticised Jicinsky’s contribution and theory in a number of points, taking no exception to the funda- mental principles, but objecting to the formula. He questioned the assumption of a coefficient of increase of volume that would be applicable to all cases; and pointed out the fact that the so-called “ after-slide” of surficial material is not considered in the formula. He accepted Jicinsky’s determination of the fracture in the coal measures, but objected to the formulating of general rules for determining the size of pillars. A large portion of Goldreich’s work is given to a discussion of the phenomena of subsidence in con- nection with railways. The profiles of sunken railway sections of the Ostrau-Karwm coal district show that these profiles have a parabolic form, that the maximum subsidences are found in the middle of these depressions, and that the amounts of subsidence decrease almost regularly towards the two ends of the curves until they finally become equal to zero. This regularity of the depressions caused Goldreich to undertake to formulate a theory of subsidence applicable to conditions such as those which exist in the Ostrau-Karwin district, the most distinctive feature being the surficial bed of plastic marl as much as 1,200 ft. thick in places. Where the coal measures outcrop, the regularity of the surface depressions disappears and Goldreich takes refuge in the statement that we must depend merely upon experience. Goldreich’s observations developed the fact that following the subsidence of bed rock there is a vertical subsidence of the marl directly overlying and a lateral after-sliding of the adjacent and outlying mar]. In discussing the subsidence of the roof strata he emphasised the effect of the elasticity of each stratum, and stated that when the elasticity of the subsiding roof strata is so great that the latter reach the floor of the worked out room without any disturbance in the coherence of the superimposed strata, then the volume of these subsiding strata remains unchanged. The subsidence of roof strata without increase of volume will occur in the case of the extraction of thin and flat seams. The increase of volume which takes place during the first stage of the subsidence process is not enduring; for in consequence of the weight of the following roof strata the broken rock is again com- pressed, so that at the end of the rock movement there results a decrease of volume which is certainly not identical with the initial increase of volume. Only by observing the amount of surface subsidence caused by an underground working can a basis for estimating the coefficient of increase of volume under actual con- ditions be obtained. When the overlying beds are elastic there will be little increase in volume as the movement proceeds upward; under such conditions the term “harmless depth ” cannot properly be used. British Theories. Subsidences resulting from the mining of salt and coal in the British Isles were observed at an early date and were the cause of investigatiofi by British engi- neers, who in general have supported the important principles of Belgian-French theories, although certain persons have taken exception to particular points in these theories. Numerous observations have been made upon subsiding areas and considerable valuable informa- tion has been collected, the data have been correlated and arranged, and empirical formulae have been constructed so that adequate pillars may be left for the protection of surface structures and property of various kinds. Observations carried on by J. S. Dixon demonstrated that the wave of maximum subsidence regularly followed the advancing face, and that a wave of disturbance was just as regularly projected in advance of it ; that is, the wave of disturbance preceded the working face, but the maximum subsidence followed it. Joseph Dickinson called attention to the similarity between earth move- ments due to natural causes and those resulting from mining operations. He considered that “ the direction of subsidence may be judged by analogy from the slopes taken by faults and mineral veins. The slope of a fault in horizontal strata averages about 1 in 3*07 from the perpendicular, varying according to the hardness and cohesion of the strata from about 1 in 5 in hard rock to 1 in 3’75 in medium, and 1 in 2 5 in soft. He con- sidered that for horizontal seams not exceeding 6 ft. in thickness, and with strata of the average hardness of those in Lancashire, ordinary subsidence may be taken as extending on all sides to one-tenth of the depth, and that to obtain security a margin should be added. This margin is limited by some engineers to an addi- tional one-tenth of the depth, while others add an arbitrary amount. When the strata are softer the. extent of the subsidence is sometimes taken as one- sixth, or even one-fourth of the depth of the working, while, on the other hand, for hard siliceous rock, such as is found in South Wales, reductions are needed. He also agrees with other writers, that in seams of moderate inclination larger areas are required for support on the rise side than on the dip.” T. A. O’Donahue endorsed the observations of J. Dickinson, and expressed the opinion that breaking lines of strata may be estimated within narrow limits with average conditions. With regard to the various angles of draw that have been noted, he pointed out that for safety the maximum angle for given conditions must be taken as the limit for safety. For coal beds 6 ft. thick and overlying strata of moderate hardness, he found that the angle of draw is from 5 to 8 degs. beyond the vertical; i.e , if a pillar is to be left to protect objects on the surface, a margin of one-twentieth to one-tenth of the depth should be left in order to provide against the draw. With inclined strata the draw increases roughly in proportion to the degree of inclination of the strata. He accepted the normal theory as correct when applied to dips of 18 to 24 degs., but only for dip workings. When the mine workings are on the rise the maximum draw is estimated at 8 degs. for strata nearly horizontal, and the draw is taken to cease with strata at an inclination cf 24 degs. The ideas of O’Donahue are expressed in his formula for shaft pillars as follow : M = Margin of safety, say from 5 to 10 per cent, of the depth; D — depth of shaft; X = distance at the seam, between two lines drawn from a point at the surface, one fine being vertical and the other at right angles to the seam. Shaft pillar in horizontal strata: Radius of pillar = M + in inclined strata: Rise side =M 4- y + 2 DI g X; dip side =M 4- - — - X. For seams less than 6 ft. thick the size of the pillar may be decreased, while for thick seams it is suggested that the size of pillars determined for a 6 ft. seam be multiplied by the square root of the thickness of the seam in fathoms. In discussing the effect of the thickness of the seam upon the amount of subsidence, O’Donahue called attention to the effect of the material stowed in the goaf or gob. Other conditions being the same, the mining of a 6 ft. seam would result in more than twice the vertical subsidence caused by mining a 3 ft. seam, owing to the fact that little material is thrown into the gob in mining the 6 ft. seam, while in mining the 3 ft. seam undoubtedly much “ brushing ” would have to be done and, therefore, there would be considerable material left in the goaf or gob. Therefore, the total subsidence per foot of coal removed will be greater in the case of the thicker seam. He objected to the statement that mining at depths of 1,800 to 2,000 ft. will not cause subsidence, because careful levellings would show that the complete removal of the coal at even greater depths would cause a sinking of the surface. The working of a seam, for instance 4 ft. thick, would cause the surface to subside about 3 ft. if the seam weie not greater than 600 ft. in depth, and would cause a subsidence of from 12 to 18 in. at a depth of 2,400 ft. H. W. G. Halbaum, in his study of the action of the roof in longwall mining, called attention to the locking of the roof due to the lateral thrust in great roof sections; and he subsequently formulated the propo- sition, that contained in the total force of the roof action, there is a horizontal component, the action of which is contrary to the direction of working, and the power of which is sufficient to deflect the roof action from the vertical fine. In considering the cantilever idea, he likened 'the unsupported roof strata to a huge cantilever whose load consists primarily of its own weight, but pointed out that the balancing of the components is unlikely, for the resistance of ordinary coal-measure strata to com- pression is usually greater than their resistance to tension. The neutral surface of the cantilever must generally lie below the half-depth of the beam. More- over, the beam is not homogeneous. “We start with a thick unloaded cantilever and we end with a thinner but loaded beam ; thinner, because from the standpoint of their efficiency, the upper layers are gone; and loaded, because from the standpoint of their dead weight, the upper layers remain only as a true load on the effective beam beneath. This simultaneous thinning and loading of the effective cantilever seems probable for several reasons : The principal one perhaps is to be found in the fact that the original beam is a composite beam formed by an aggregation of smaller beams (strata) in super-position. The whole of the composite beam is an effective beam only so long as its several layers firmly adhere at tbeir conterminous horizontal planes or boundaries. As soon as the uppermost layer (or series of layers) separates from its subjacent layer, or tends to slide thereon, it ceases at once to form any part of the effective cantilever, to which cantilever it must thence- forward sustain the relation of a load only.” He calls attention to the fact that “ when we examine the cases of natural subsidences of the earth’s crust, we find that the great planes of strain, in the normal case, a’e always projected over and towards the solid (or un- subsided) strata.” In a paper before the International Geological Con- gress, Prof. George Knox summarised the various points which may be considered sufficiently well estab- lished to form a basis for further investigations—namely: (a) That surface subsidence invariably extends over a greater area than that excavated ; (b) the angle of pull is determined by the ratio between the excavated and subsided areas ; (c) that this ratio is determined by a large number of factors, among which may be included the following: The amount of permanent support left in the unmined area; thickness of the seam worked; depth of the workings from the surface; method of working adopted; direction of working in relation to the jointing of the strata; rate at which the workings advance ; nature of the strata overlying the workings ; presence of faults, fissures, etc., in the strata; perme- ability of the overlying rocks; dip of the strata ; surface contour; and potential compressive forces existing in the strata containing the workings. He concluded that the ratio between subsidence and draw must be the joint result of the forces liberated by the withdrawal of support from underneath the strata in the mined area. The larger the proportion of settlement resulting in subsidence the less can occur in the form of draw, and vice versa. “ The number of factors that may influence the results produced by the settlement of undermined strata is so great that only a wide and comprehensive enquiry by geologists and mining engineers in those countries where mining is conducted on a large scale can be hoped to provide sufficient evidence to establish a definite theory or theories to assist in overcoming some of the more common dangers due to subsidence.” Alexander Richardson, in a paper before the Chemical, Metallurgical and Mining Society of South Africa, took up the question of stresses in deep masses of rock unsupported for hundreds of feet horizontally. “Where the strata are unfaulted, one would be justified in con- sidering the mass as a huge slab supported on two or more sides or as a lever hinged at the bottom of the workings. Over extensive areas the pressure on the roof of an excavation, assuming the bed to be horizontal, will become in time equal to the weight of the super- incumbent strata ; under no circumstances is it imme- diately so, since the overlying beds must have some carrying strength.” m . (To be continued.) LABOUR AMD WAGES. South Wales and Monmouthshire. No announcement has yet been made, although one was expected, as to the difficulty at Llanhilleth Colliery, where notices expire to-morrow (Saturday). These were given by the men as a whole because certain of their num I er were being discharged owing to a section of the colliery having been worked to the boundary. The contention of the men is that the boundary has not been reached; and also that, in any case, the matter should have been decided first by the Conciliation Board before notices to the r colleagues were given. The workmen employed at the Mynydd Maen Colliery, Pontypool, who had been idle a week owing to a dispute between the hauliers and management, resumed work on Friday of last week, a settlement having been reached the previous night. North of England, Further negotiations between representatives of the Northumberland Miners’ Association and the county coal owners, with reference to the transference of coal miners to ironstone mining work, have resulted in an agreement under which men may be transferred. Not many men are required at present, and these may be obtained from those collieries where work is limited at present. The Controller of Mines has approved of the agreement. The Admiralty Shipyard Labour Department is enquir- ing as to how far it is possible to employ Northumbrian miners, who may have occasional short spells of unemploy- ment, in the shipyards and munition factories. It is thought possible that miners laid idle might be given casual employment in the manner indicated. The executive committee of the Northumberland Miners’ Association reports that an understanding has been arrived at in a dispute at North Wylam as to the conditions under which hewers were called upon to put, and trusts that the understanding will lead to a final settlement of all matters in dispute. The committee has decided to ask each branch what the practice is at the pit in dealing with men who only infrequently lose a day’s work through “ sleeping in ” or other causes. Hartford branch is to be asked for further information regarding its complaint of part of the men being sent to work whilst the others are idle, and whether or not the men work in turns, so that all may get an equal share of the work available. The committee has declined to take any part in the National Service movement. The owners of Seghill Colliery are to be asked to pay the cost of an ambulance car which conveyed a man injured in the mine to Newcastle Infirmary, and the attention of the mines inspector is to be drawn to the evidently inadequate arrangements at the colliery for dealing with such cases. It has been decided to send to the Church pit branch the reply of the Holywell branch regarding alleged violation of the Eight Hours Act in the case of Church pit lads tem- porarily working at Holywell pit, which reply states that the Holywell branch was in no way responsible for the violation, but has taken steps to stop it. The committee expresses its complete agreement with the letter sent by the secretary to Newbiggin branch regarding the preven- tion by the branch of a member from tendering for a stone canch let at the colliery, and also with regard to the wages of a screener somewhat crippled but quite able to do the same screening work as other men. The attention of the Coal Owners’ Association is being drawn to a com- plaint as to the inadequate supply of workmen’s fire coal at Seghill Colliery. Mr. Chas. Alderson has been re-elected chairman of the Joint Committee for the Northumberland Coal Trade. At the committee’s most recent meeting, the following award, dated March 24, 1917, was received with reference to filling after mechanical coal cutters in the Beaumont seam at Dinnington Colliery:—At and above 3 ft. 8 in., lOd.; 3 ft. 4 in., lid.; 3 ft., Is.; 2 ft. 8 in., Is. Id.; 2 ft. Gin., Is. 2d.; 2 ft. 4 in., Is. 3d.; 2 ft. 3 in., Is. 4d.; 2 ft. 2 in., Is. 5d.; 2 ft. 1 in., Is. 6d.; 2 ft., Is. 7d.; 1ft. Ilin., Is. 8d.; 1ft. 10in., Is. 9d.; 1ft. 9 in., Is. lOd.; 1ft. 8 in., Is. lid.; and 1ft. 7 in., 2s. Filling after coal-cutting machines shall be cavilled for quarterly, as in the case of hewing. Measurements for the purpose of ascertaining tonnage price to be paid are to be taken in each gateway. Then the average height on the whole of the gateways on the coal filling face shall be the height on which the tonnage price is paid. The coal fillers are not to be under any obligation to take up coal left by the coal cutter. All kirvings shall be properly raked from the cut and thrown back from the face, a space of not less than 2 ft. to be left along the face for an airway. Stone canches are to be kept up within 4 ft. of the face where possible. No filler is to be required to commence filling in a gateway where a coal cutter is working, or until it has passed the centre of the next gateway. Ramble money is to be paid to men who fill from a gateway in which there may be ramble money due. Each gateway is to carry 11 yds. of coal, 04 yds. on each side of gateway centre, or as near as may be, except where the seam, including bands, is high enough for the tub to travel along the face. Coal fillers are to work single as far as is practicable. Wet is to be accord- ing to colliery custom. An award with reference to the Harvey (or Beaumont) seam at Netherton Howard pit stipulates that payments for working this seam shall be continued upon the systems of bargains existing at the time the arbitration was entered into, and so long as the minutes of undertaking between the two associations con- tinue in force, this being without prejudice to the estab- lished customs and practice of the county coal trade. Ellington workmen claimed for lamp cabin men to be put back to the hours per shift they had been working before the manager made a change, and claimed also extra pay for extra time worked since. The Joint Committee decided that it had no jurisdiction as to the alteration of hours, but that each man was entitled to be paid according to the hours per shift at which he was set on until he received . notice to terminate his engagement. Federated Area. Negotiations between the Lancashire and Cheshire Coal Owners’ Association and the Amalgamated Society of Railway Vehicle Builders, Wheelwrights, Carpenters and Mechanics have resulted in an increase in the wages and a revision of the war bonus paid to colliery tradesmen and semi-skilled workers. The new terms accepted by the men are an advance of 7s. per week in wages, with a revised war bonus of 5s. per week. With the object of obtaining an award for the Derby- shire colliery enginemen and firemen, which has been made to the Notts enginemen and firemen by Mr. W. Mackenzie, K.C., and now in operation in Notts, the general secretary (Mr. S. W. Rowarth) and other officials, with the execu- tive committee of the Derbyshire, Notts and Midland Counties Colliery Enginemen, Motormen, and Firemen’s Union, met the Midland Counties colliery owners at Derby, but the owners refused the application from the Derby-