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Analytical Methods <br />SUAii\IARY AND CONCLUSIONS <br />The influence of failure in the rock mass surrounding <br />a cavity on the surface subsidence was investigated in this <br />stud}'. Two possible modes of failure were considered: (i) <br />compressive yielding, and (ii) failure under tensile stresses. <br />Based on results o(these investigations and other studies, <br />it was concluded that the occurrence of this type of failure <br />in the proximity of the opening does not have a significant <br />influence on the surface subsidence. However, this type of <br />failure can propagate; and should the (allure progress to <br />the surface, thin the massive subsidence associated with <br />sinkholes and ground breakage can occur. Therefore, the <br />development o(a computational technique which can in- <br />vestigate the possibility of rock failure progressing to the <br />surface is an important aspect in designing mining opera- <br />tions to limit subsidence. <br />For the majority of practical problems, failure does not <br />propagate to the surface, and it is necessary to predict the <br />subsidence that might occur from the creation of solution <br />cavities. A computational technique which permits slip- <br />page along bedding planes and other geological continui- <br />ties has been developed. Based on a comparison with <br />observed subsidence in two case histories, it was found <br />that if slippage was permitted along bedding planes, there <br />was reasonable agreement between measured and com- <br />puted values. <br />Based on the results of this and previous investigations, <br />it can be concluded that the analytical methods presented <br />in this report have the potential of predicting the sub- <br />sidence above mined areas provided there is adequate in- <br />formation on the geologic conditions. <br />ACKNOWLEDG~IENT5 <br />The research described in this paper has been sup- <br />ported by Solution Mining Research Institute, [tic. This <br />support is gratefully acknowledged. <br />REFERENCES <br />Deere, D. U. (1961). Subsidence due to mining-a case history' <br />from the Gulf Coast Region of Texas. Prot. Fourr/r Sym- <br />posium on RocR Mechanics. Penn. State Univ., Pa., pp 59-(rt. <br />m <br />Hendron, A. l., Jr., Patton. F. D. and Cording, E. J. <br />(1966). Design of surface and near-surface construction in <br />rock. !n Failure and Breakage of Rock Proc. Eigltrh Sym- <br />posium Roch :Mechanics. 1966, Amer. Inst. Mining Eng., <br />New York, pp 237-30?. <br />Drucker, D. C. (195?).Amore fundamental approach in plastic <br />sl ress-strain relations, Proc. Firsr US A'ationalCmrgressAp- <br />plied Mechanics, New York, pp 48791. <br />Lee, K. L. and Strauss, M. E. (1969). Prediction of horizontal <br />movements due to subsidence over mined areas. lnrernotiona! <br />Symposium on Land Subsidence. Intern. Assoc. H}'drolog. <br />Sci., Tokyo, Japan, 2:512-528. <br />Mohr, F. (1951). The effect of extraction on the roo(with sprcial <br />reference to the action on shafts. Bergb.-Arch, 14.(1), I. <br />_(1958). Observations in shafts on rock movements due to <br />mining, /nternarimral Strata Conrro! Congress. Leipzig, pp <br />112-123. <br />Nair, K., Singh, R. D., Chang, C-Y, and Abdullah, A., 1974 <br />Timt-dependent analysis to predict closure in salt cavities. <br />This s}'mposium. <br />Nair, K. and Chang. C-Y (1969a). Investigation of the influence <br />of certain variables on the subsidtnce above mined areas. <br />Report to Solution Mining Research Institute, Inc., unpub- <br />lished. <br />(19696). Stability studies for Project Payette. Final Re- <br />port submitted to Fenix and Scisson, Tulsa, Oklahoma, un- <br />published. <br />Patton, F. D. (1966). Multiple modes of shear failure in rock and <br />related materials, PhD thesis, University o(Illinois. 1965, p. <br />23?, Abstracted in Proc. Firsr Congress International Society <br />ojRock ,Llechonies. Lisbon (Lisbon: Laboratorio National de <br />Enginharia Civil, 1966), 1:509-513. <br />Rtyes. S. F. and Deere, D. U. (1966). "Elastic-plastic analysis <br />o(undtrground openings by' the finite element method," Pro- <br />ceedings. First Congress of the lnrernariona! Society ojRock <br />Mechanics. Lisbon, Portugal. <br />Zienkiesvicz, O. C., Vallmppan. 5., and Kind, 1. P. (1968). Stress <br />analysis o(rock as a "no-tension" material. Geotechnique I3, <br />(I ), 56-66. <br />